{"id":99343,"date":"2026-09-02T13:40:57","date_gmt":"2026-09-02T05:40:57","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/99343.html"},"modified":"2026-09-02T13:40:57","modified_gmt":"2026-09-02T05:40:57","slug":"%e3%80%8a%e4%bb%8e%e5%8a%a8%e7%ac%94%e5%bc%80%e5%a7%8b%ef%bc%9a%e9%ab%98%e4%b8%ad%e6%95%b0%e5%ad%a6%e5%bf%85%e4%bf%ae%e7%ac%ac%e4%b8%80%e5%86%8c%e3%80%8b-1-3-%e9%9b%86%e5%90%88","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/99343.html","title":{"rendered":"\u300a\u4ece\u52a8\u7b14\u5f00\u59cb\uff1a\u9ad8\u4e2d\u6570\u5b66\u5fc5\u4fee\u7b2c\u4e00\u518c\u300b\u2014\u20141.3 \u96c6\u5408\u7684\u57fa\u672c\u8fd0\u7b97"},"content":{"rendered":"<h2>1.3 \u96c6\u5408\u7684\u57fa\u672c\u8fd0\u7b97<\/h2>\n<p>\u9002\u7528&#xff1a;\u7efc\u5408\u9ad8\u4e2d\u5b66\u751f&#xff08;\u57fa\u784020\u201140\u5206&#xff09;<br \/>\n\u5efa\u8bae\u8bfe\u65f6&#xff1a;2\u8bfe\u65f6&#xff08;\u6bcf\u828240\u5206\u949f&#xff09;<br 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0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">2<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7719em;vertical-align: -0.136em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7224em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">3<\/span><span class=\"mord cjk_fallback\">&#xff0c;<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">Z<\/span><span class=\"mclose\">}<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><\/span><\/span><\/span><\/span>________<\/li>\n<li>\u89e3\u4e0d\u7b49\u5f0f&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">x\u22121&gt;0x-1&gt;0<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&gt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u89e3\u96c6________<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">N\\\\mathbf N<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord mathbf\">N<\/span><\/span><\/span><\/span><\/span>\u4e0e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">N\u2217\\\\mathbf N^*<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6887em\"><\/span><span class=\"mord\"><span class=\"mord mathbf\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6887em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u533a\u522b&#xff1a;________<\/li>\n<li>\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{1,2,2,3}\\\\{1,2,2,3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>\u6b63\u786e\u5199\u6cd5&#xff1a;________&#xff08;\u590d\u4e60\u4e92\u5f02\u6027&#xff09;<\/li>\n<p>\u3010\u6559\u5e08\u5907\u8bfe\u672d\u8bb0\u3011<\/p>\n<p>\u6559\u6750\u7f16\u5199\u610f\u56fe&#xff1a;\u4eba\u6559A\u72481.3&#xff0c;\u7406\u89e3\u5e76\u96c6\u3001\u4ea4\u96c6\u3001\u8865\u96c6\u6982\u5ff5&#xff1b;\u770b\u61c2Venn\u56fe&#xff1b;\u4f1a\u505a\u6709\u9650\u96c6\u5408\u4ea4\u5e76\u8fd0\u7b97&#xff1b;\u4f1a\u5229\u7528\u6570\u8f74\u5904\u7406\u6570\u96c6\u4ea4\u3001\u5e76&#xff1b;\u7406\u89e3\u5168\u96c6\u542b\u4e49&#xff1b;\u638c\u63e1\u8865\u96c6\u8fd0\u7b97\u3002\u8bfe\u672c\u5b9e\u4f8b\u517c\u987e\u6709\u9650\u96c6\u5408\u3001\u5b9e\u6570\u6570\u96c6\u3002<\/p>\n<p>\u5b66\u60c5\u77ed\u677f\u3010\u6df1\u5316\u62c6\u89e3\u3011<\/p>\n<li>\u7b26\u53f7\u6df7\u6dc6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2229\u3001\u222a\\\\cap\u3001\\\\cup<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u2229<\/span><span class=\"mord cjk_fallback\">\u3001<\/span><span class=\"mord\">\u222a<\/span><\/span><\/span><\/span><\/span>\u5916\u5f62\u8bb0\u6df7&#xff1b;\u5206\u4e0d\u6e05\u6587\u5b57\u201c\u4e14\u3001\u6216\u201d\u5bf9\u5e94\u7684\u96c6\u5408\u8fd0\u7b97&#xff0c;\u628a\u4ea4\u96c6\u505a\u6210\u5e76\u96c6&#xff1b;<\/li>\n<li>\u6709\u9650\u96c6\u5408\u8fd0\u7b97&#xff1a;\u5e76\u96c6\u91cd\u590d\u5143\u7d20\u4e0d\u4f1a\u5254\u9664&#xff1b;\u4ea4\u96c6\u65e0\u516c\u5171\u5143\u7d20\u4e0d\u77e5\u9053\u5199<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2205\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u76f4\u63a5\u7a7a\u7740\u4e0d\u5199&#xff1b;<\/li>\n<li>\u6570\u8f74\u5de5\u5177\u4e09\u5927\u5751&#xff1a;\u2460\u7a7a\u5fc3\u5b9e\u5fc3\u641e\u53cd&#xff1b;\u2461\u627e\u4ea4\u96c6\u4e0d\u4f1a\u627e\u91cd\u53e0\u90e8\u5206&#xff1b;\u2462\u627e\u5e76\u96c6\u4e0d\u4f1a\u627e\u5168\u90e8\u8986\u76d6\u8303\u56f4&#xff1b;\u5b66\u751f\u559c\u6b22\u5fc3\u7b97\u4e0d\u753b\u6570\u8f74&#xff0c;\u5927\u91cf\u51fa\u9519&#xff1b;<\/li>\n<li>\u8865\u96c6\u6700\u5927\u8bef\u533a&#xff1a;\u5ffd\u7565\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u540c\u4e00\u4e2a\u96c6\u5408&#xff0c;\u5168\u96c6\u6539\u53d8&#xff0c;\u8865\u96c6\u7ed3\u679c\u5b8c\u5168\u4e0d\u4e00\u6837&#xff1b;\u5b66\u751f\u7ecf\u5e38\u76f4\u63a5\u62ff\u5b9e\u6570\u96c6\u5f53\u9ed8\u8ba4\u5168\u96c6&#xff1b;<\/li>\n<li>Venn\u56fe\u770b\u5f97\u61c2\u56fe&#xff0c;\u4f46\u662f\u4e0d\u4f1a\u628a\u56fe\u7ffb\u8bd1\u6210\u96c6\u5408\u5f0f\u5b50&#xff1b;<\/li>\n<li>\u4e0d\u4f1a\u533a\u5206\u4e24\u7c7b\u9898\u578b&#xff1a;\u6709\u9650\u5217\u4e3e\u96c6\u5408\u8fd0\u7b97&#xff08;\u6570\u5143\u7d20&#xff09; VS \u5b9e\u6570\u6570\u96c6\u8fd0\u7b97&#xff08;\u6570\u8f74\u753b\u56fe&#xff09;&#xff0c;\u4e24\u7c7b\u9898\u76ee\u89e3\u9898\u65b9\u6cd5\u5b8c\u5168\u4e0d\u540c&#xff0c;\u5b66\u751f\u4f1a\u6df7\u4e3a\u4e00\u8c08\u3002<\/li>\n<p>\u5220\u51cf\u5185\u5bb9&#xff1a;\u542b\u53c2\u6570\u96c6\u5408\u8fd0\u7b97\u3001\u590d\u6742\u591a\u6b65\u7efc\u5408\u5927\u9898\u3001\u8bfe\u672c\u62d3\u5e7f\u63a2\u7d22\u3001\u96c6\u5408\u5143\u7d20\u4e2a\u6570\u516c\u5f0f&#xff1b;\u4ec5\u6781\u5c11\u6570\u62d4\u5c16\u5b66\u751f\u8bfe\u540e\u81ea\u4e3b\u4e86\u89e3&#xff0c;\u5168\u4f53\u8bfe\u5802\u4e0d\u8bb2\u6388\u3002<\/p>\n<p>\u8bfe\u65f6\u62c6\u5206\u5efa\u8bae&#xff08;\u6bcf\u828240\u5206\u949f&#xff0c;\u5305\u542b\u8bfe\u524d\u5c0f\u6d4b&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\u7b2c1\u8bfe\u65f6&#xff1a;5min\u8bfe\u524d\u7b51\u57fa&#xff1b;\u4ea4\u96c6&#xff08;\u5b9a\u4e49&#043;Venn\u56fe&#043;\u6709\u9650\u96c6\u5408\u4f8b\u9898&#043;\u53cd\u4f8b&#xff09;&#xff1b;\u5e76\u96c6&#xff08;\u5b9a\u4e49&#043;Venn\u56fe&#043;\u6709\u9650\u96c6\u5408\u4f8b\u9898&#043;\u53cd\u4f8b&#xff09;&#xff1b;\u533a\u5206\u201c\u4e14\/\u6216\u201d&#xff1b;\u6709\u9650\u96c6\u5408\u5bf9\u70b9\u8bad\u7ec3&#xff1b;\u7b80\u5355\u5f15\u5165\u6570\u8f74\u9898\u578b\u3002<\/li>\n<li>\u7b2c2\u8bfe\u65f6&#xff1a;5min\u590d\u4e60\u56de\u987e&#xff1b;\u5168\u96c6&#xff08;\u91cd\u70b9\u5f3a\u8c03\u5168\u96c6\u53ef\u53d8&#xff09;&#xff1b;\u8865\u96c6\u5b9a\u4e49&#043;Venn\u56fe&#043;\u4e24\u7c7b\u9898\u578b&#xff08;\u6709\u9650\u96c6\u5408\u3001\u6570\u8f74\u6570\u96c6&#xff09;&#xff1b;\u5b8c\u6574\u89e3\u9898\u6a21\u677f&#xff1b;\u7efc\u5408\u5bf9\u70b9\u7ec3&#043;\u8ba2\u6b63\u3002<\/li>\n<\/ul>\n<p>\u8bfe\u540e\u4f5c\u4e1a&#xff1a;\u8bfe\u672c\u7b2c14\u9875\u4e60\u98981.3 \u590d\u4e60\u5de9\u56fa\u7b2c1\u30012\u9898\u3002<\/p>\n<h2>\u3010\u5b66\u751f\u7528\u4e66\u00b7\u6b63\u6587\u3011<\/h2>\n<h3>\u524d\u7f6e\u63d0\u9192&#xff1a;\u4e24\u7c7b\u96c6\u5408\u8fd0\u7b97\u9898\u578b&#xff0c;\u89e3\u9898\u65b9\u6cd5\u4e0d\u4e00\u6837<\/h3>\n<p>&#x1f4cc;\u9898\u578b1&#xff1a;\u6709\u9650\u5217\u4e3e\u96c6\u5408&#xff1a;\u4f8b\u5982<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2,3}A&#061;\\\\{1,2,3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u628a\u5143\u7d20\u4e00\u4e2a\u4e2a\u5199\u51fa\u6765\u3002\u89e3\u9898&#xff1a;\u76f4\u63a5\u5bf9\u6bd4\u5143\u7d20&#xff0c;\u627e\u516c\u5171\u3001\u627e\u5168\u90e8\u5143\u7d20\u3002<br \/>\n&#x1f4cc;\u9898\u578b2&#xff1a;\u5b9e\u6570\u6570\u96c6&#xff08;\u63cf\u8ff0\u6cd5\u4e0d\u7b49\u5f0f&#xff09;&#xff1a;\u4f8b\u5982<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{x\u2223\u22121&lt;x&lt;2}A&#061;\\\\{x\\\\mid -1&lt;x&lt;2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>\u3002\u89e3\u9898&#xff1a;\u5fc5\u987b\u753b\u6570\u8f74&#xff0c;\u7981\u6b62\u5fc3\u7b97\u3002<\/p>\n<h3>\u4e00\u3001\u4ea4\u96c6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2229\\\\boldsymbol{\\\\cap}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5556em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">\u2229<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h3>\n<p>\u4e00\u822c\u5730&#xff0c;\u7531\u6240\u6709\u65e2\u5c5e\u4e8e\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u53c8\u5c5e\u4e8e\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">BB<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u7684\u5143\u7d20\u7ec4\u6210\u7684\u96c6\u5408&#xff0c;\u79f0\u4e3a\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u4e0e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">BB<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u7684\u4ea4\u96c6\u3002<br \/>\n\u8bb0\u4f5c&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B\\\\boldsymbol{A\\\\cap B}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin mathbf\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord boldsymbol\" style=\"margin-right: 0.0483em\">B<\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8bfb\u4f5c\u201c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u4ea4<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">BB<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u201d<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;{x\u2223x\u2208A&#xff0c;\u4e14x\u2208B}A\\\\cap B&#061;\\\\{x\\\\mid x\\\\in A&#xff0c;\\\\boldsymbol{\u4e14}x\\\\in B\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7252em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord cjk_fallback\">&#xff0c;<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf cjk_fallback\">\u4e14<\/span><\/span><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u2705\u5927\u767d\u8bdd\u53e3\u8bc0&#xff1a;\u4ea4\u96c6 &#061; \u627e\u4e24\u4e2a\u96c6\u5408\u516c\u5171\u3001\u91cd\u53e0\u7684\u5143\u7d20&#xff0c;\u5fc5\u987b\u540c\u65f6\u4e24\u8fb9\u90fd\u8981\u6709\u3002<br \/>\n\u2705Venn\u56fe\u7406\u89e3&#xff1a;\u4e24\u4e2a\u5706\u5708\u4e92\u76f8\u91cd\u53e0\u7684\u90a3\u4e00\u5c0f\u5757\u533a\u57df&#xff0c;\u624d\u662f\u4ea4\u96c6\u3002<\/p>\n<h4>\u2728\u9898\u578b1&#xff1a;\u6709\u9650\u5217\u4e3e\u96c6\u5408\u6c42\u4ea4\u96c6<\/h4>\n<p>\u4f8b&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2,3,4}A&#061;\\\\{1,2,3,4\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{3,4,5,6}B&#061;\\\\{3,4,5,6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u516c\u5171\u5143\u7d20&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">3\u300143\u30014<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mord cjk_fallback\">\u3001<\/span><span class=\"mord\">4<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;{3,4}A\\\\cap B&#061;\\\\{3,4\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u274c\u53cd\u4f8b&#xff08;\u6613\u9519\u9519\u9898\u5c55\u793a&#xff09;<br \/>\n<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2,3}A&#061;\\\\{1,2,3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{4,5,6}B&#061;\\\\{4,5,6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4e24\u4e2a\u96c6\u5408\u6ca1\u6709\u516c\u5171\u5143\u7d20\u3002<br \/>\n\u2705\u6b63\u786e\u7ed3\u679c&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;\u2205A\\\\cap B&#061;\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span><br \/>\n\u274c\u9519\u8bef\u505a\u6cd5&#xff1a;\u7a7a\u767d\u4e0d\u5199\u3001\u5199<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{0}\\\\{0\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">0<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>&#x1f4cc;\u4ea4\u96c6\u6838\u5fc3\u6027\u8d28&#xff0c;\u9010\u6761\u7406\u89e3\u8bb0\u5fc6<\/p>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229A&#061;AA\\\\cap A&#061;A<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u4e00\u4e2a\u96c6\u5408\u548c\u81ea\u5df1\u7684\u4ea4\u96c6&#xff0c;\u5c31\u662f\u5b83\u672c\u8eab\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229\u2205&#061;\u2205A\\\\cap \\\\emptyset&#061;\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u7a7a\u96c6\u548c\u4efb\u4f55\u96c6\u5408\u6ca1\u6709\u516c\u5171\u5143\u7d20&#xff0c;\u4ea4\u96c6\u662f\u7a7a\u96c6\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;B\u2229AA\\\\cap B&#061;B\\\\cap A<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u4ea4\u96c6\u524d\u540e\u4e24\u4e2a\u96c6\u5408\u4ea4\u6362\u4f4d\u7f6e&#xff0c;\u7ed3\u679c\u4e0d\u53d8\u3002<\/li>\n<h4>\u2728\u9898\u578b2&#xff1a;\u5b9e\u6570\u6570\u96c6&#xff08;\u4e0d\u7b49\u5f0f&#xff09;\u6c42\u4ea4\u96c6&#xff0c;\u6570\u8f74\u64cd\u4f5c\u7ec6\u5316\u6b65\u9aa4<\/h4>\n<p>\u64cd\u4f5c\u56fa\u5b9a4\u6b65&#xff0c;\u505a\u9898\u4e25\u683c\u7167\u505a&#xff1a;<br \/>\n\u6b65\u9aa41&#xff1a;\u753b\u6570\u8f74&#xff1b;<br \/>\n\u6b65\u9aa42&#xff1a;\u5206\u522b\u753b\u51fa\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u3001\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">BB<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u5bf9\u5e94\u7684\u8303\u56f4&#xff1b;\u53d6\u4e0d\u5230\u7684\u7aef\u70b9\u7a7a\u5fc3<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2218\\\\circ<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4445em\"><\/span><span class=\"mord\">\u2218<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u53ef\u4ee5\u53d6\u5230\u7aef\u70b9\u5b9e\u5fc3<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2219\\\\bullet<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4445em\"><\/span><span class=\"mord\">\u2219<\/span><\/span><\/span><\/span><\/span>&#xff1b;<br \/>\n\u6b65\u9aa43&#xff1a;\u627e\u4e24\u4e2a\u8303\u56f4\u4e92\u76f8\u91cd\u53e0\u7684\u90e8\u5206&#xff1b;<br \/>\n\u6b65\u9aa44&#xff1a;\u628a\u91cd\u53e0\u90e8\u5206\u5199\u6210\u96c6\u5408\u5f62\u5f0f\u3002<\/p>\n<p>\u4f8b&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{x\u2223\u22121&lt;x&lt;2}A&#061;\\\\{x\\\\mid -1&lt;x&lt;2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{x\u22231&lt;x&lt;3}B&#061;\\\\{x\\\\mid 1&lt;x&lt;3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u91cd\u53e0\u533a\u95f4&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">1&lt;x&lt;21&lt;x&lt;2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">2<\/span><\/span><\/span><\/span><\/span><br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;{x\u22231&lt;x&lt;2}A\\\\cap B&#061;\\\\{x\\\\mid 1&lt;x&lt;2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u26a0\ufe0f\u7279\u522b\u63d0\u9192&#xff1a;\u6ca1\u6709\u91cd\u53e0&#xff0c;\u4ea4\u96c6\u76f4\u63a5\u5199<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2205\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4e0d\u80fd\u7a7a\u7740\u4e0d\u5199\u3002<\/p>\n<h3>\u4e8c\u3001\u5e76\u96c6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u222a\\\\boldsymbol{\\\\cup}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5556em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">\u222a<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h3>\n<p>\u7531\u6240\u6709\u5c5e\u4e8e\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6216\u8005\u5c5e\u4e8e\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">BB<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u7684\u5143\u7d20\u7ec4\u6210\u7684\u96c6\u5408&#xff0c;\u79f0\u4e3a\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u4e0e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">BB<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u7684\u5e76\u96c6\u3002<br \/>\n\u8bb0\u4f5c&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB\\\\boldsymbol{A\\\\cup B}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin mathbf\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord boldsymbol\" style=\"margin-right: 0.0483em\">B<\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8bfb\u4f5c\u201c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u5e76<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">BB<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u201d<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;{x\u2223x\u2208A&#xff0c;\u6216x\u2208B}A\\\\cup B&#061;\\\\{x\\\\mid x\\\\in A&#xff0c;\\\\boldsymbol{\u6216}x\\\\in B\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7252em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord cjk_fallback\">&#xff0c;<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf cjk_fallback\">\u6216<\/span><\/span><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u2705\u5927\u767d\u8bdd\u53e3\u8bc0&#xff1a;\u5e76\u96c6 &#061; \u628a\u4e24\u4e2a\u96c6\u5408\u5168\u90e8\u5143\u7d20\u5408\u5e76\u5230\u4e00\u5757&#xff1b;\u91cd\u590d\u51fa\u73b0\u7684\u5143\u7d20&#xff0c;\u53ea\u51991\u6b21&#xff08;\u9075\u5b88\u4e92\u5f02\u6027&#xff09;\u3002<br \/>\n\u2705Venn\u56fe\u7406\u89e3&#xff1a;\u4e24\u4e2a\u5706\u5708\u5408\u5728\u4e00\u8d77\u7684\u5168\u90e8\u9762\u79ef\u3002<\/p>\n<p>&#x1f4a1;\u91cd\u70b9\u7406\u89e3\u6587\u5b57\u201c\u6216\u201d&#xff1a;\u4e09\u79cd\u60c5\u51b5\u6ee1\u8db3\u4efb\u610f\u4e00\u79cd\u5373\u53ef<br \/>\n\u2460\u5143\u7d20\u53ea\u5728<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u91cc\u9762&#xff1b;\u2461\u5143\u7d20\u53ea\u5728<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">BB<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u91cc\u9762&#xff1b;\u2462\u5143\u7d20\u540c\u65f6\u5728<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u3001BA\u3001B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord cjk_fallback\">\u3001<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u91cc\u9762\u3002\u4e09\u79cd\u5168\u90e8\u5c5e\u4e8e\u5e76\u96c6\u3002<\/p>\n<h4>\u2728\u9898\u578b1&#xff1a;\u6709\u9650\u5217\u4e3e\u96c6\u5408\u6c42\u5e76\u96c6<\/h4>\n<p>\u4f8b&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2,3,4}A&#061;\\\\{1,2,3,4\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{3,4,5,6}B&#061;\\\\{3,4,5,6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u5168\u90e8\u5143\u7d20&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">1,2,3,4,5,61,2,3,4,5,6<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8389em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><\/span><\/span><\/span><\/span>&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">3\u300143\u30014<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mord cjk_fallback\">\u3001<\/span><span class=\"mord\">4<\/span><\/span><\/span><\/span><\/span>\u91cd\u590d&#xff0c;\u53ea\u5199\u4e00\u904d\u3002<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;{1,2,3,4,5,6}A\\\\cup B&#061;\\\\{1,2,3,4,5,6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u274c\u53cd\u4f8b&#xff08;\u9ad8\u9891\u9519\u8bef&#xff09;<br \/>\n\u274c\u9519\u8bef\u5199\u6cd5&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{1,2,3,4,3,4,5,6}\\\\{1,2,3,4,3,4,5,6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u91cd\u590d\u5143\u7d20\u4e0d\u80fd\u91cd\u590d\u6284\u5199\u3002<\/p>\n<p>&#x1f4cc;\u5e76\u96c6\u6838\u5fc3\u6027\u8d28<\/p>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aA&#061;AA\\\\cup A&#061;A<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff1b;\u96c6\u5408\u548c\u81ea\u5df1\u5408\u5e76&#xff0c;\u8fd8\u662f\u672c\u8eab\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222a\u2205&#061;AA\\\\cup \\\\emptyset&#061;A<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff1b;\u548c\u7a7a\u96c6\u5408\u5e76&#xff0c;\u4e0d\u53d8\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;B\u222aAA\\\\cup B&#061;B\\\\cup A<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff1b;\u5e76\u96c6\u4ea4\u6362\u524d\u540e\u96c6\u5408&#xff0c;\u7ed3\u679c\u4e0d\u53d8\u3002<\/li>\n<h4>\u2728\u9898\u578b2&#xff1a;\u5b9e\u6570\u6570\u96c6\u6c42\u5e76\u96c6&#xff0c;\u6570\u8f74\u64cd\u4f5c\u7ec6\u53164\u6b65<\/h4>\n<p>\u6b65\u9aa41&#xff1a;\u753b\u6570\u8f74&#xff1b;<br \/>\n\u6b65\u9aa42&#xff1a;\u753b\u51fa<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u3001BA\u3001B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord cjk_fallback\">\u3001<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u4e24\u4e2a\u8303\u56f4&#xff0c;\u5206\u6e05\u7a7a\u5fc3\u3001\u5b9e\u5fc3&#xff1b;<br \/>\n\u6b65\u9aa43&#xff1a;\u627e\u4e24\u4e2a\u96c6\u5408\u8986\u76d6\u5230\u7684\u5168\u90e8\u533a\u57df&#xff0c;\u4e0d\u7ba1\u91cd\u4e0d\u91cd\u53e0&#xff1b;<br \/>\n\u6b65\u9aa44&#xff1a;\u628a\u5168\u90e8\u8986\u76d6\u533a\u57df\u5199\u6210\u96c6\u5408\u3002<\/p>\n<p>\u4f8b&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{x\u2223\u22121&lt;x&lt;2}A&#061;\\\\{x\\\\mid -1&lt;x&lt;2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{x\u22231&lt;x&lt;3}B&#061;\\\\{x\\\\mid 1&lt;x&lt;3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u5168\u90e8\u8986\u76d6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u22121&lt;x&lt;3-1&lt;x&lt;3<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span><br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;{x\u2223\u22121&lt;x&lt;3}A\\\\cup B&#061;\\\\{x\\\\mid -1&lt;x&lt;3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h3>\u26a0\ufe0f\u8d85\u7ea7\u91cd\u70b9\u8fa8\u6790&#xff1a;\u201c\u4e14\u201d\u548c\u201c\u6216\u201d\u3010\u6df1\u5316&#xff0c;\u8003\u8bd5\u6781\u6613\u6df7\u6dc6\u3011<\/h3>\n<table>\n<tr>\u8fd0\u7b97\u8fde\u63a5\u5173\u952e\u8bcd\u542b\u4e49\u901a\u4fd7\u7406\u89e3<\/tr>\n<tbody>\n<tr>\n<td align=\"left\">\u4ea4\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229BA\\\\cap B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\">\u4e14<\/td>\n<td align=\"left\">\u540c\u65f6\u5c5e\u4e8eA\u3001\u540c\u65f6\u5c5e\u4e8eB<\/td>\n<td align=\"left\">\u4e24\u8fb9\u90fd\u8981\u6709&#xff0c;\u627e\u516c\u5171\u91cd\u53e0<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u5e76\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aBA\\\\cup B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\">\u6216<\/td>\n<td align=\"left\">\u5c5e\u4e8eA&#xff0c;\u6216\u8005\u5c5e\u4e8eB&#xff0c;\u6ee1\u8db3\u5176\u4e00\u5373\u53ef<\/td>\n<td align=\"left\">\u5168\u90e8\u6253\u5305\u5408\u5e76<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&#x1f4a1;\u8bb0\u5fc6\u7b26\u53f7\u5c0f\u6280\u5de7<br \/>\n<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2229\\\\cap<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5556em\"><\/span><span class=\"mord\">\u2229<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u5f00\u53e3\u5411\u4e0b&#xff0c;\u50cf\u4e24\u9053\u5899\u6324\u5728\u4e00\u8d77&#xff0c;\u4ee3\u8868\u76f8\u4ea4\u3001\u627e\u516c\u5171&#xff1b;<br \/>\n<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u222a\\\\cup<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5556em\"><\/span><span class=\"mord\">\u222a<\/span><\/span><\/span><\/span><\/span>&#xff1a;\u5f00\u53e3\u5411\u4e0a&#xff0c;\u50cf\u676f\u5b50&#xff0c;\u628a\u4e24\u8fb9\u4e1c\u897f\u5168\u90e8\u88c5\u8fdb\u6765&#xff0c;\u4ee3\u8868\u5408\u5e76\u3002<\/p>\n<p>\u274c\u5178\u578b\u9519\u9898\u8fa8\u6790<br \/>\n\u9898\u76ee&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2,3},B&#061;{2,3,4}A&#061;\\\\{1,2,3\\\\},B&#061;\\\\{2,3,4\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229BA\\\\cap B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span><br \/>\n\u9519\u89e3&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{1,2,3,4}\\\\{1,2,3,4\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff08;\u9519&#xff0c;\u628a\u4ea4\u96c6\u505a\u6210\u5e76\u96c6&#xff09;<br \/>\n\u6b63\u89e3&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{2,3}\\\\{2,3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/p>\n<h3>\u4e09\u3001\u5168\u96c6\u4e0e\u8865\u96c6<\/h3>\n<h4>1. \u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U\\\\boldsymbol U<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.1142em\">U<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h4>\n<p>\u4e00\u822c\u5730&#xff0c;\u5982\u679c\u4e00\u4e2a\u96c6\u5408\u542b\u6709\u6240\u7814\u7a76\u95ee\u9898\u4e2d\u6d89\u53ca\u7684\u6240\u6709\u5143\u7d20&#xff0c;\u90a3\u4e48\u8fd9\u4e2a\u96c6\u5408\u5c31\u79f0\u4e3a\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u2705\u3010\u6df1\u5316\u5173\u952e\u70b9\u3011\u5168\u96c6\u4e0d\u662f\u56fa\u5b9a\u7b49\u4e8e\u5b9e\u6570\u96c6R&#xff01;\u6bcf\u4e00\u9053\u9898\u76ee\u5168\u96c6\u53ef\u4ee5\u4e0d\u4e00\u6837&#xff0c;\u9898\u76ee\u600e\u4e48\u5199&#xff0c;\u5168\u96c6\u5c31\u600e\u4e48\u6765\u3002\u540c\u4e00\u96c6\u5408&#xff0c;\u5168\u96c6\u6539\u53d8&#xff0c;\u8865\u96c6\u7ed3\u679c\u5b8c\u5168\u6539\u53d8&#xff01;<\/p>\n<p>\u4e3e\u4e2a\u5bf9\u6bd4\u4f8b\u5b50&#xff0c;\u4f53\u4f1a\u5168\u96c6\u53d8\u5316\u5e26\u6765\u7684\u533a\u522b&#xff1a;<br \/>\n\u4f8b\u2460&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;{1,2,3,4,5}U&#061;\\\\{1,2,3,4,5\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2}A&#061;\\\\{1,2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA&#061;{3,4,5}\\\\complement_U A&#061;\\\\{3,4,5\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u4f8b\u2461&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;{1,2,3,4,5,6,7,8}U&#061;\\\\{1,2,3,4,5,6,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2}A&#061;\\\\{1,2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA&#061;{3,4,5,6,7,8}\\\\complement_U A&#061;\\\\{3,4,5,6,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u540c\u6837\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2}A&#061;\\\\{1,2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5168\u96c6\u4e0d\u4e00\u6837&#xff0c;\u8865\u96c6\u5b8c\u5168\u4e0d\u4e00\u6837&#xff01;\u505a\u9898\u7b2c\u4e00\u4ef6\u4e8b\u5708\u51fa\u9898\u76ee\u7ed9\u7684\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<h4>2. \u8865\u96c6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA\\\\boldsymbol{\\\\complement_U A}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3303em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord boldsymbol mtight\" style=\"margin-right: 0.1142em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord boldsymbol\">A<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/h4>\n<p>\u5bf9\u4e8e\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u7531\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>\u4e2d\u6240\u6709\u4e0d\u5c5e\u4e8e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u7684\u5143\u7d20\u6784\u6210\u7684\u96c6\u5408&#xff0c;\u53eb\u505a\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u76f8\u5bf9\u4e8e\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>\u7684\u8865\u96c6\u3002<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA&#061;{x\u2223x\u2208U&#xff0c;\u4e14x\u2209A}\\\\complement_U A&#061;\\\\{x\\\\mid x\\\\in U&#xff0c;\u4e14x\\\\notin A\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mord cjk_fallback\">&#xff0c;\u4e14<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\"><span class=\"mord\"><span class=\"mrel\">\u2208<\/span><\/span><span class=\"mord vbox\"><span class=\"thinbox\"><span class=\"llap\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"inner\"><span class=\"mord\"><span class=\"mord\">\/<\/span><span class=\"mspace\" style=\"margin-right: 0.0556em\"><\/span><\/span><\/span><span class=\"fix\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u2705\u5927\u767d\u8bdd&#xff1a;\u5728\u5168\u96c6\u8fd9\u4e2a\u5927\u7b50\u91cc\u9762&#xff0c;\u628a\u5c5e\u4e8e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u7684\u4e1c\u897f\u5168\u90e8\u62ff\u51fa\u53bb&#xff0c;\u7b50\u5b50\u91cc\u5269\u4e0b\u7684\u5143\u7d20\u5c31\u662f\u8865\u96c6\u3002<br \/>\n\u2705Venn\u56fe\u7406\u89e3&#xff1a;\u65b9\u6846\u4ee3\u8868\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5185\u90e8\u5706\u5708\u662f\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5706\u5708\u5916\u9762\u65b9\u6846\u5185\u90e8\u7684\u533a\u57df\u5c31\u662f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA\\\\complement_U A<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>&#x1f4cc;\u8865\u96c6\u4e24\u6761\u5fc5\u80cc\u6027\u8d28<\/p>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222a(\u2201UA)&#061;UA\\\\cup(\\\\complement_U A)&#061;U<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.075em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>&#xff1b;\u96c6\u5408\u52a0\u4e0a\u5b83\u7684\u8865\u96c6&#xff0c;\u62fc\u51fa\u6574\u4e2a\u5168\u96c6\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229(\u2201UA)&#061;\u2205A\\\\cap(\\\\complement_U A)&#061;\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.075em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span>&#xff1b;\u96c6\u5408\u548c\u81ea\u5df1\u7684\u8865\u96c6\u6ca1\u6709\u516c\u5171\u5143\u7d20\u3002<\/li>\n<h4>\u2728\u9898\u578b1&#xff1a;\u6709\u9650\u5217\u4e3e\u96c6\u5408\u6c42\u8865\u96c6\u3010\u5f3a\u5236\u6a21\u677f3\u6b65\u3011<\/h4>\n<p>\u6b65\u9aa41&#xff1a;\u5b8c\u6574\u6284\u5199\u3001\u5199\u51fa\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>\u91cc\u9762\u7684\u5168\u90e8\u5143\u7d20&#xff08;\u7edd\u5bf9\u4e0d\u80fd\u8df3\u8fc7\u8fd9\u4e00\u6b65&#xff09;&#xff1b;<br \/>\n\u6b65\u9aa42&#xff1a;\u4ece\u5168\u96c6\u91cc\u9762&#xff0c;\u5220\u6389\u5c5e\u4e8e\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u7684\u5143\u7d20&#xff1b;<br \/>\n\u6b65\u9aa43&#xff1a;\u5269\u4e0b\u5143\u7d20\u5199\u6210\u96c6\u5408\u3002<\/p>\n<p>\u8bfe\u672c\u4f8b\u9898\u6539\u7f16&#xff1a;\u5df2\u77e5\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;{x\u2223x\u662f\u5c0f\u4e8e9\u7684\u6b63\u6574\u6570}U&#061;\\\\{x\\\\mid x\u662f\u5c0f\u4e8e9\u7684\u6b63\u6574\u6570\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mord cjk_fallback\">\u662f\u5c0f\u4e8e<\/span><span class=\"mord\">9<\/span><span class=\"mord cjk_fallback\">\u7684\u6b63\u6574\u6570<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2,3}A&#061;\\\\{1,2,3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u89e3&#xff1a;<br \/>\n\u2460\u5199\u51fa\u5168\u96c6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;{1,2,3,4,5,6,7,8}U&#061;\\\\{1,2,3,4,5,6,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u2461\u5220\u6389<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">1,2,31,2,3<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8389em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5269\u4f59<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">4,5,6,7,84,5,6,7,8<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8389em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><\/span><\/span><\/span><\/span><br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA&#061;{4,5,6,7,8}\\\\complement_U A&#061;\\\\{4,5,6,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u274c\u9ad8\u9891\u9519\u8bef&#xff1a;\u4e0d\u5199\u5168\u96c6&#xff0c;\u76f4\u63a5\u5199\u7ed3\u679c\u3002<\/p>\n<h4>\u2728\u9898\u578b2&#xff1a;\u5b9e\u6570\u6570\u96c6\u6c42\u8865\u96c6&#xff08;\u6570\u8f74\u6a21\u677f4\u6b65&#xff09;<\/h4>\n<p>\u6b65\u9aa41&#xff1a;\u786e\u5b9a\u672c\u9898\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>&#xff1b;\u9898\u76ee\u6ca1\u6709\u7279\u6b8a\u8bf4\u660e\u5b9e\u6570\u9898\u76ee\u5168\u96c6\u4e00\u822c\u4e3a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">R\\\\mathbf R<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord mathbf\">R<\/span><\/span><\/span><\/span><\/span>&#xff1b;<br \/>\n\u6b65\u9aa42&#xff1a;\u753b\u6570\u8f74&#xff0c;\u753b\u51fa\u96c6\u5408<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u8303\u56f4&#xff0c;\u5206\u6e05\u7a7a\u5fc3\u5b9e\u5fc3&#xff1b;<br \/>\n\u6b65\u9aa43&#xff1a;\u5728\u5168\u96c6\u8303\u56f4\u4e4b\u5185&#xff0c;\u53bb\u6389<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u5bf9\u5e94\u7684\u533a\u95f4&#xff1b;<br \/>\n\u6b65\u9aa44&#xff1a;\u628a\u5269\u4e0b\u533a\u95f4\u5199\u6210\u96c6\u5408\u3002<\/p>\n<p>\u793a\u4f8b&#xff1a;\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;RU&#061;\\\\mathbf R<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6861em\"><\/span><span class=\"mord mathbf\">R<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{x\u2223x\u22652}A&#061;\\\\{x\\\\mid x\\\\ge2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7719em;vertical-align: -0.136em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2265<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u8865\u96c6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA&#061;{x\u2223x&lt;2}\\\\complement_U A&#061;\\\\{x\\\\mid x&lt;2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/p>\n<h3>\u56db\u3001\u8bfe\u672c\u4f8b\u9898\u62c6\u89e3&#xff08;\u589e\u52a0\u5bf9\u9519\u5bf9\u7167&#xff0c;\u6df1\u5316\u8fa8\u6790&#xff09;<\/h3>\n<h4>\u4f8b1&#xff08;\u6709\u9650\u96c6\u5408\u4ea4\u5e76&#xff09;<\/h4>\n<p>\u8bbe <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{4,5,6,8}A&#061;\\\\{4,5,6,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{3,5,7,8}B&#061;\\\\{3,5,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6c42<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229BA\\\\cap B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aBA\\\\cup B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u3002<br \/>\n\u3010\u89e3\u3011<br \/>\n\u516c\u5171\u5143\u7d20&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">5&#xff0c;85&#xff0c;8<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">5<\/span><span class=\"mord cjk_fallback\">&#xff0c;<\/span><span class=\"mord\">8<\/span><\/span><\/span><\/span><\/span><br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;{5,8}A\\\\cap B&#061;\\\\{5,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5168\u90e8\u5143\u7d20\u5408\u5e76&#xff0c;\u91cd\u590d\u53ea\u5199\u4e00\u6b21&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;{3,4,5,6,7,8}A\\\\cup B&#061;\\\\{3,4,5,6,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u274c\u9519\u4f8b\u5c55\u793a&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;{4,5,6,8,3,5,7,8}A\\\\cup B&#061;\\\\{4,5,6,8,3,5,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u91cd\u590d5\u30018&#xff0c;\u9519\u8bef\u3002<\/p>\n<h4>\u4f8b2&#xff08;\u6570\u8f74\u6570\u96c6\u8fd0\u7b97&#xff09;<\/h4>\n<p>\u8bbe\u96c6\u5408 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{x\u2223\u22121&lt;x&lt;2}A&#061;\\\\{x\\\\mid -1&lt;x&lt;2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u96c6\u5408 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{x\u22231&lt;x&lt;3}B&#061;\\\\{x\\\\mid 1&lt;x&lt;3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6c42<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229BA\\\\cap B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aBA\\\\cup B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u3002<br \/>\n\u3010\u89e3\u3011\u753b\u6570\u8f74\u89c2\u5bdf<br \/>\n\u4ea4\u96c6&#xff08;\u91cd\u53e0\u90e8\u5206&#xff09;&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;{x\u22231&lt;x&lt;2}A\\\\cap B&#061;\\\\{x\\\\mid 1&lt;x&lt;2\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5e76\u96c6&#xff08;\u5168\u90e8\u8986\u76d6&#xff09;&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;{x\u2223\u22121&lt;x&lt;3}A\\\\cup B&#061;\\\\{x\\\\mid -1&lt;x&lt;3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h4>\u4f8b3&#xff08;\u8865\u96c6&#xff09;<\/h4>\n<p>\u5df2\u77e5\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;{x\u2223x\u662f\u5c0f\u4e8e9\u7684\u6b63\u6574\u6570}U&#061;\\\\{x\\\\mid x\u662f\u5c0f\u4e8e9\u7684\u6b63\u6574\u6570\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mord cjk_fallback\">\u662f\u5c0f\u4e8e<\/span><span class=\"mord\">9<\/span><span class=\"mord cjk_fallback\">\u7684\u6b63\u6574\u6570<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2,3}A&#061;\\\\{1,2,3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6c42<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA\\\\complement_U A<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u3002<br \/>\n\u3010\u89e3\u3011<br \/>\n\u7b2c\u4e00\u6b65\u5199\u51fa\u5168\u96c6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;{1,2,3,4,5,6,7,8}U&#061;\\\\{1,2,3,4,5,6,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u7b2c\u4e8c\u6b65\u53bb\u6389<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">1,2,31,2,3<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8389em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5f97\u5230&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA&#061;{4,5,6,7,8}\\\\complement_U A&#061;\\\\{4,5,6,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h3>\u4e94\u3001\u9ad8\u9891\u6613\u9519\u9884\u8b66\u3010\u589e\u52a0\u9519\u8bef\u6848\u4f8b&#xff0c;\u6df1\u5316\u7ec6\u5316\u3011<\/h3>\n<table>\n<tr>\u5e8f\u53f7\u6613\u9519\u70b9\u9519\u8bef\u793a\u4f8b\u6b63\u786e\u7406\u89e3<\/tr>\n<tbody>\n<tr>\n<td align=\"left\">1<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2229\\\\cap<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5556em\"><\/span><span class=\"mord\">\u2229<\/span><\/span><\/span><\/span><\/span>\u3001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u222a\\\\cup<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5556em\"><\/span><span class=\"mord\">\u222a<\/span><\/span><\/span><\/span><\/span>\u7b26\u53f7\u5199\u6df7<\/td>\n<td align=\"left\">\u628a\u4ea4\u96c6\u5199\u6210<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aBA\\\\cup B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2229\\\\cap<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5556em\"><\/span><span class=\"mord\">\u2229<\/span><\/span><\/span><\/span><\/span>\u627e\u516c\u5171&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u222a\\\\cup<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5556em\"><\/span><span class=\"mord\">\u222a<\/span><\/span><\/span><\/span><\/span>\u5168\u90e8\u5408\u5e76&#xff0c;\u8bb0\u5fc6\u53e3\u8bc0<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">2<\/td>\n<td align=\"left\">\u6c42\u5e76\u96c6\u4fdd\u7559\u91cd\u590d\u5143\u7d20<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2},B&#061;{2,3}A&#061;\\\\{1,2\\\\},B&#061;\\\\{2,3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff1b;\u9519&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;{1,2,2,3}A\\\\cup B&#061;\\\\{1,2,2,3\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\">\u96c6\u5408\u4e92\u5f02\u6027&#xff0c;\u91cd\u590d\u5143\u7d20\u53ea\u51991\u6b21<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">3<\/td>\n<td align=\"left\">\u4ea4\u96c6\u65e0\u516c\u5171\u5143\u7d20&#xff0c;\u7a7a\u767d\u3001\u5199<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{0}\\\\{0\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">0<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2},B&#061;{3,4}A&#061;\\\\{1,2\\\\},B&#061;\\\\{3,4\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c; <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;&#xff1f;A\\\\cap B&#061;&#xff1f;<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord cjk_fallback\">&#xff1f;<\/span><\/span><\/span><\/span><\/span>\u5377\u5b50\u4e0a\u7a7a\u7740<\/td>\n<td align=\"left\">\u6ca1\u6709\u516c\u5171\u5143\u7d20&#xff0c;\u5fc5\u987b\u5199<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2205\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4e0d\u80fd\u7a7a\u767d<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">4<\/td>\n<td align=\"left\">\u6570\u8f74\u7a7a\u5fc3\u5b9e\u5fc3\u641e\u53cd<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">x&gt;2x&gt;2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&gt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">2<\/span><\/span><\/span><\/span><\/span>\u753b\u5b9e\u5fc3\u70b9<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2218\\\\circ<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4445em\"><\/span><span class=\"mord\">\u2218<\/span><\/span><\/span><\/span><\/span>\u53d6\u4e0d\u5230&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2219\\\\bullet<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4445em\"><\/span><span class=\"mord\">\u2219<\/span><\/span><\/span><\/span><\/span>\u80fd\u53d6\u5230\u7aef\u70b9<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">5<\/td>\n<td align=\"left\">\u6c42\u8865\u96c6\u5ffd\u7565\u5168\u96c6&#xff0c;\u76f4\u63a5\u505a\u9898<\/td>\n<td align=\"left\">\u4e0d\u5199<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>\u76f4\u63a5\u5199\u8865\u96c6\u7ed3\u679c<\/td>\n<td align=\"left\">\u8865\u96c6\u4f9d\u8d56\u5168\u96c6&#xff0c;\u7b2c\u4e00\u6b65\u5fc5\u987b\u660e\u786e\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>&#xff1b;\u5168\u96c6\u53d8\u7ed3\u679c\u5c31\u53d8<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">6<\/td>\n<td align=\"left\">\u201c\u4e14\u3001\u6216\u201d\u641e\u53cd&#xff0c;\u4ea4\u96c6\u5e76\u96c6\u505a\u53cd<\/td>\n<td align=\"left\">\u770b\u5230\u201c\u6216\u201d\u6c42\u4ea4\u96c6<\/td>\n<td align=\"left\">\u4ea4\u96c6&#061;\u4e14&#xff08;\u540c\u65f6&#xff09;&#xff1b;\u5e76\u96c6&#061;\u6216&#xff08;\u6ee1\u8db3\u5176\u4e00&#xff09;<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">7<\/td>\n<td align=\"left\">\u5b9e\u6570\u6570\u96c6\u4e0d\u753b\u6570\u8f74&#xff0c;\u7eaf\u5fc3\u7b97<\/td>\n<td align=\"left\">\u51ed\u8111\u5b50\u60f3\u8c61\u533a\u95f4<\/td>\n<td align=\"left\">\u5b9e\u6570\u4e0d\u7b49\u5f0f\u96c6\u5408\u8fd0\u7b97&#xff0c;\u5f3a\u5236\u753b\u7b80\u6613\u6570\u8f74&#xff0c;\u7981\u6b62\u5fc3\u7b97<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>\u516d\u3001\u8bfe\u5802\u5bf9\u70b9\u7ec3&#xff08;\u5f53\u5802\u5b8c\u6210&#xff0c;\u5206\u5c42\u8bbe\u7f6e&#xff0c;\u57fa\u7840&#043;\u8fa8\u6790\u5c0f\u9898&#xff09;<\/h3>\n<p>\u7b2c1\u9898\u3010\u6709\u9650\u96c6\u5408\u57fa\u7840\u3011 \u5df2\u77e5<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{2,3,4,5,6}A&#061;\\\\{2,3,4,5,6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{4,5,6,7,8}B&#061;\\\\{4,5,6,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u6c42 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;A\\\\cap B&#061;<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><\/span><\/span><\/span><\/span>&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;A\\\\cup B&#061;<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u7b2c2\u9898\u3010\u6709\u9650\u96c6\u5408\u8fa8\u6790&#xff0c;\u4ea4\u96c6\u4e3a\u7a7a\u96c6\u3011 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,3,5}A&#061;\\\\{1,3,5\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{2,4,6}B&#061;\\\\{2,4,6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6c42<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;A\\\\cap B&#061;<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><\/span><\/span><\/span><\/span>________\u3002<\/p>\n<p>\u7b2c3\u9898\u3010\u6570\u96c6\u6570\u8f74\u3011 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{x\u22230&lt;x\u22644}A&#061;\\\\{x\\\\mid 0&lt;x\\\\le4\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7719em;vertical-align: -0.136em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B&#061;{x\u22232&lt;x\u22646}B&#061;\\\\{x\\\\mid 2&lt;x\\\\le6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">2<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7719em;vertical-align: -0.136em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><br \/>\n\u6c42 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;A\\\\cap B&#061;<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><\/span><\/span><\/span><\/span>&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;A\\\\cup B&#061;<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u7b2c4\u9898\u3010\u8865\u96c6&#xff0c;\u5168\u96c6\u8bad\u7ec3\u3011<br \/>\n\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;{1,2,3,4,5,6,7}U&#061;\\\\{1,2,3,4,5,6,7\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{2,4,5}A&#061;\\\\{2,4,5\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6c42<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA\\\\complement_U A<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u4f7f\u7528\u65b9\u5f0f&#xff1a;\u8bfe\u580212\u201115\u5206\u949f\u72ec\u7acb\u5b8c\u6210&#xff1b;2\u30013\u30014\u9898\u8981\u6c42\u5199\u51fa\u5173\u952e\u6b65\u9aa4&#xff1b;\u6570\u96c6\u9898\u76ee\u753b\u7b80\u6613\u6570\u8f74&#xff1b;\u6559\u5e08\u5de1\u89c6&#xff0c;\u62bd\u5b66\u751f\u677f\u4e66&#xff0c;\u5f53\u573a\u8ba2\u6b63\u3002<\/p>\n<p>\u3010\u8bfe\u5802\u5bf9\u70b9\u7ec3\u00b7\u53c2\u8003\u7b54\u6848\u3011<\/p>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;{4,5,6}A\\\\cap B&#061;\\\\{4,5,6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;{2,3,4,5,6,7,8}A\\\\cup B&#061;\\\\{2,3,4,5,6,7,8\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">5<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">8<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;\u2205A\\\\cap B&#061;\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229B&#061;{x\u22232&lt;x\u22644}A\\\\cap B&#061;\\\\{x\\\\mid 2&lt;x\\\\le4\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">2<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7719em;vertical-align: -0.136em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aB&#061;{x\u22230&lt;x\u22646}A\\\\cup B&#061;\\\\{x\\\\mid 0&lt;x\\\\le6\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7719em;vertical-align: -0.136em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">6<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA&#061;{1,3,6,7}\\\\complement_U A&#061;\\\\{1,3,6,7\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">6<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">7<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/li>\n<h3>\u4e03\u3001\u8bfe\u5802\u5c0f\u7ed3&#xff08;\u586b\u7a7a&#xff0c;\u7b14\u8bb0\u672c\u5b8c\u6210&#xff09;<\/h3>\n<li>\u4ea4\u96c6\u7b26\u53f7____&#xff0c;\u5173\u952e\u8bcd____&#xff0c;\u627e\u96c6\u5408\u7684________&#xff1b;\u6ca1\u6709\u516c\u5171\u5143\u7d20\u7ed3\u679c\u5199____\u3002<\/li>\n<li>\u5e76\u96c6\u7b26\u53f7____&#xff0c;\u5173\u952e\u8bcd____&#xff0c;\u5143\u7d20\u5408\u5e76&#xff0c;____\u5143\u7d20\u53ea\u5199\u4e00\u6b21\u3002<\/li>\n<li>\u8865\u96c6\u7b26\u53f7________&#xff0c;\u8ba1\u7b97\u8865\u96c6\u7b2c\u4e00\u6b65\u5fc5\u987b\u5148\u786e\u5b9a________&#xff1b;\u5168\u96c6\u6539\u53d8&#xff0c;\u8865\u96c6\u7ed3\u679c____&#xff08;\u4f1a\/\u4e0d\u4f1a&#xff09;\u6539\u53d8\u3002<\/li>\n<li>\u5b9e\u6570\u4e0d\u7b49\u5f0f\u96c6\u5408\u8fd0\u7b97&#xff0c;\u5de5\u5177\u7528________&#xff1b;\u7a7a\u5fc3\u4ee3\u8868________&#xff1b;\u5b9e\u5fc3\u4ee3\u8868________\u3002<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229\u2205&#061;A\\\\cap \\\\emptyset&#061;<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><\/span><\/span><\/span><\/span>&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222a\u2205&#061;A\\\\cup \\\\emptyset&#061;<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><\/span><\/span><\/span><\/span>&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229(\u2201UA)&#061;A\\\\cap(\\\\complement_U A)&#061;<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.075em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><\/span><\/span><\/span><\/span>________\u3002<\/li>\n<hr \/>\n<h2>\u3010\u6559\u5e08\u5907\u8bfe\u672d\u8bb0\u3011&#xff08;\u4e0d\u5370\u53d1\u7ed9\u5b66\u751f&#xff09;<\/h2>\n<h3>\u672c\u8282\u8bfe\u5bb9\u6613\u51fa\u73b0\u7684\u8bfe\u5802\u95ee\u9898\u53ca\u9884\u6848<\/h3>\n<table>\n<tr>\u95ee\u9898\u5e94\u5bf9\u9884\u6848<\/tr>\n<tbody>\n<tr>\n<td>\u6df7\u6dc6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2229\u3001\u222a\\\\cap\u3001\\\\cup<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u2229<\/span><span class=\"mord cjk_fallback\">\u3001<\/span><span class=\"mord\">\u222a<\/span><\/span><\/span><\/span><\/span>\u7b26\u53f7<\/td>\n<td>\u677f\u4e66\u53cd\u590d\u5199\u7b26\u53f7&#xff0c;\u53e3\u8bc0\u8bb0\u5fc6&#xff1b;\u589e\u52a0\u6539\u9519\u5c0f\u9898&#xff1b;\u53e3\u5934\u63d0\u95ee\u8fa8\u6790<\/td>\n<\/tr>\n<tr>\n<td>\u505a\u5b9e\u6570\u6570\u96c6\u62d2\u7edd\u753b\u6570\u8f74&#xff0c;\u559c\u6b22\u5fc3\u7b97<\/td>\n<td>\u786c\u6027\u8981\u6c42&#xff1a;\u4f5c\u4e1a\u672c\u3001\u7ec3\u4e60\u672c\u5fc5\u987b\u753b\u7b80\u6613\u6570\u8f74&#xff1b;\u6ca1\u6709\u6570\u8f74\u4e0d\u7ed9\u6ee1\u5206&#xff1b;<\/td>\n<\/tr>\n<tr>\n<td>\u6c42\u8865\u96c6\u8df3\u8fc7\u5168\u96c6<\/td>\n<td>\u5f3a\u5236\u89e3\u9898\u6a21\u677f&#xff0c;\u8865\u96c6\u9898&#xff0c;\u7b2c\u4e00\u6b65\u6284\u5199\u5168\u96c6&#xff1b;\u8bfe\u5802\u53cd\u590d\u4e3e\u201c\u540c\u4e00\u4e2aA&#xff0c;\u4e0d\u540cU\u8865\u96c6\u4e0d\u540c\u201d\u7684\u5bf9\u6bd4\u4f8b\u5b50<\/td>\n<\/tr>\n<tr>\n<td>\u4ea4\u96c6\u4e3a\u7a7a\u4e0d\u4f1a\u5199<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2205\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u7a7a\u767d\u6216\u8005\u5199<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{0}\\\\{0\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">0<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/td>\n<td>\u4e13\u95e8\u8bad\u7ec3\u7a7a\u96c6\u9898\u578b&#xff1b;\u5c55\u793a\u5178\u578b\u9519\u8bef\u5377\u5b50&#xff0c;\u5f3a\u8c03\u89c4\u8303\u4e66\u5199<\/td>\n<\/tr>\n<tr>\n<td>\u5e76\u96c6\u91cd\u590d\u5143\u7d20\u53cd\u590d\u5199<\/td>\n<td>\u4f8b\u9898\u4e13\u95e8\u5708\u51fa\u91cd\u590d\u5143\u7d20&#xff1b;\u9519\u9898\u5c55\u793a\u4e92\u5f02\u6027\u7684\u8981\u6c42<\/td>\n<\/tr>\n<tr>\n<td>\u5206\u4e0d\u6e05\u201c\u4e14\u201d\u201c\u6216\u201d\u6587\u5b57\u63cf\u8ff0<\/td>\n<td>\u6709\u9650\u96c6\u5408\u3001\u6570\u8f74\u5404\u4e3e\u4f8b\u5b50&#xff0c;\u5bf9\u6bd4\u8868\u683c\u53cd\u590d\u770b\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>\u8bfe\u65f6\u5207\u5206<\/h3>\n<table>\n<tr>\u8bfe\u65f6\u5185\u5bb9\u7ed3\u675f\u6807\u5fd7<\/tr>\n<tbody>\n<tr>\n<td>\u7b2c1\u8bfe\u65f6<\/td>\n<td>5min\u8bfe\u524d\u7b51\u57fa&#xff1b;\u4ea4\u96c6\u5b9a\u4e49\u3001Venn\u56fe&#xff1b;\u6709\u9650\u96c6\u5408\u4f8b\u9898&#043;\u53cd\u4f8b&#xff1b;\u5e76\u96c6\u5b9a\u4e49\u3001Venn\u56fe&#043;\u53cd\u4f8b&#xff1b;\u533a\u5206\u201c\u4e14\/\u6216\u201d&#xff1b;\u5bf9\u70b9\u7ec31\u30012<\/td>\n<td>\u53ef\u4ee5\u5206\u6e05\u4ea4\u3001\u5e76&#xff1b;\u6709\u9650\u96c6\u5408\u8fd0\u7b97\u89c4\u8303&#xff1b;\u7a7a\u96c6\u4f1a\u4e66\u5199<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c2\u8bfe\u65f6<\/td>\n<td>5min\u590d\u4e60\u56de\u987e&#xff1b;\u5168\u96c6&#xff08;\u91cd\u70b9\u5f3a\u8c03\u5168\u96c6\u53ef\u53d8&#xff09;&#xff1b;\u8865\u96c6\u4e24\u5957\u6a21\u677f&#xff08;\u6709\u9650\u96c6\u5408&#043;\u6570\u8f74\u6570\u96c6&#xff09;&#xff1b;\u5bf9\u70b9\u7ec33\u30014&#xff1b;\u8bfe\u5802\u5c0f\u7ed3\u586b\u7a7a<\/td>\n<td>\u505a\u9898\u7b2c\u4e00\u6b65\u786e\u5b9a\u5168\u96c6&#xff1b;\u6570\u96c6\u8fd0\u7b97\u4e3b\u52a8\u753b\u6570\u8f74&#xff0c;\u80fd\u89c4\u8303\u6c42\u8865\u96c6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>\u677f\u4e66\u8bbe\u8ba1<\/h3>\n<p>\u7b2c1\u8bfe\u65f6\u677f\u4e66&#xff1a;<\/p>\n<table>\n<tr>\u4f4d\u7f6e\u5185\u5bb9<\/tr>\n<tbody>\n<tr>\n<td>\u5de6\u4e0a\u89d2<\/td>\n<td>\u4eca\u65e5\u76ee\u6807&#xff1a;\u4ea4\u96c6\u3001\u5e76\u96c6&#xff1b;\u5206\u6e05\u4e14\u3001\u6216<\/td>\n<\/tr>\n<tr>\n<td>\u4e2d\u95f4\u5de6<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229BA\\\\cap B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u4ea4\u96c6\u3010\u4e14&#xff0c;\u627e\u516c\u5171\u3011Venn\u56fe\u91cd\u53e0\u90e8\u5206\u6027\u8d28&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229A&#061;A&#xff0c;A\u2229\u2205&#061;\u2205A\\\\cap A&#061;A&#xff0c;A\\\\cap\\\\emptyset&#061;\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord cjk_fallback\">&#xff0c;<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>\u4e2d\u95f4\u53f3<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u222aBA\\\\cup B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u222a<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u5e76\u96c6\u3010\u6216&#xff0c;\u5168\u5408\u5e76\u3011Venn\u56fe\u5168\u90e8\u533a\u57df\u26a0\ufe0f\u91cd\u590d\u5143\u7d20\u53ea\u51991\u6b21<\/td>\n<\/tr>\n<tr>\n<td>\u5e95\u90e8<\/td>\n<td>\u6b63\u53cd\u4f8b\u9898\u5bf9\u7167&#xff0c;\u5199\u51fa\u9519\u8bef\u5199\u6cd5\u5bf9\u6bd4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u7b2c2\u8bfe\u65f6\u677f\u4e66&#xff1a;<\/p>\n<table>\n<tr>\u4f4d\u7f6e\u5185\u5bb9<\/tr>\n<tbody>\n<tr>\n<td>\u5de6\u4e0a\u89d2<\/td>\n<td>\u4eca\u65e5\u76ee\u6807&#xff1a;\u5168\u96c6\u4e0e\u8865\u96c6&#xff0c;\u5168\u96c6\u53ef\u4ee5\u6539\u53d8&#xff01;<\/td>\n<\/tr>\n<tr>\n<td>\u4e2d\u95f4\u5de6<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>\u5168\u96c6&#xff1b;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UA\\\\complement_U A<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6a21\u677f\u7b2c\u4e00\u6b65&#xff1a;\u5199\u51fa\u5168\u96c6&#xff01;\u540c\u4e00<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4e0d\u540c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UU<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8865\u96c6\u4e0d\u4e00\u6837&#xff0c;\u5199\u4e24\u7ec4\u5bf9\u6bd4\u5c0f\u4f8b\u5b50<\/td>\n<\/tr>\n<tr>\n<td>\u4e2d\u95f4\u53f3<\/td>\n<td>\u6709\u9650\u96c6\u5408\u6c42\u8865\u96c63\u6b65&#xff1b;\u6570\u8f74\u6c42\u8865\u96c64\u6b65<\/td>\n<\/tr>\n<tr>\n<td>\u5e95\u90e8<\/td>\n<td>\u6570\u8f74\u793a\u8303\u7a7a\u5fc3\u3001\u5b9e\u5fc3&#xff0c;\u8865\u96c6\u5b8c\u6574\u6f14\u7b97<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>\u5907\u7528\u94fa\u57ab\u5c0f\u9898&#xff08;\u6559\u5e08\u5185\u90e8&#xff0c;\u4e0d\u6253\u5370&#xff09;<\/h3>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;{1,2},B&#061;{3,4}A&#061;\\\\{1,2\\\\},B&#061;\\\\{3,4\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mclose\">}<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6c42<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A\u2229BA\\\\cap B<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2229<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span>\u3002&#xff08;\u8bad\u7ec3\u4ea4\u96c6\u4e3a\u7a7a\u5199<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2205\\\\emptyset<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">\u2205<\/span><\/span><\/span><\/span><\/span>&#xff09;<\/li>\n<li>\u5168\u96c6<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;{a,b,c,d}U&#061;\\\\{a,b,c,d\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">M&#061;{a,b}M&#061;\\\\{a,b\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6c42<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2201UM\\\\complement_U M<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.975em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord amsrm\">\u2201<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">U<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 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