{"id":41900,"date":"2025-06-05T15:48:13","date_gmt":"2025-06-05T07:48:13","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/41900.html"},"modified":"2025-06-05T15:48:13","modified_gmt":"2025-06-05T07:48:13","slug":"%e4%ba%8c%e7%bb%b4-%e6%a0%b9%e6%8d%ae%e7%9f%a9%e9%98%b5%e5%8f%98%e6%8d%a2%e8%ae%a1%e7%ae%97%e9%95%9c%e5%83%8f%e6%97%8b%e8%bd%ac%e8%a7%92%e5%ba%a6","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/41900.html","title":{"rendered":"\u4e8c\u7ef4 \u6839\u636e\u77e9\u9635\u53d8\u6362\u8ba1\u7b97\u955c\u50cf\u65cb\u8f6c\u89d2\u5ea6"},"content":{"rendered":"<p>\u5728\u4e8c\u7ef4\u53d8\u6362\u4e2d&#xff0c;\u955c\u50cf&#xff08;Reflection&#xff09; \u662f\u4e00\u79cd\u7279\u6b8a\u7684\u7ebf\u6027\u53d8\u6362&#xff0c;\u5b83\u4f1a\u5c06\u56fe\u5f62\u5bf9\u79f0\u5730\u7ffb\u8f6c\u5230\u67d0\u4e2a\u8f74\u7ebf\u6216\u70b9\u3002\u955c\u50cf\u7684\u5b58\u5728\u4f1a\u663e\u8457\u5f71\u54cd\u5706\u5f27\u53d8\u6362\u540e\u7684\u53c2\u6570&#xff08;\u5706\u5fc3\u3001\u534a\u5f84\u3001\u8d77\u59cb\u89d2\u5ea6&#xff09;&#xff0c;\u5c24\u5176\u662f\u5728\u89d2\u5ea6\u65b9\u5411\u548c\u65cb\u8f6c\u65b9\u5411\u7684\u5904\u7406\u4e0a\u3002<\/p>\n<hr \/>\n<h3>&#x1f50d; \u4e00\u3001\u955c\u50cf\u53d8\u6362\u7684\u6570\u5b66\u8868\u793a<\/h3>\n<p>\u955c\u50cf\u53d8\u6362\u901a\u5e38\u901a\u8fc7\u7f29\u653e\u77e9\u9635\u4e2d\u7684\u8d1f\u6570\u5b9e\u73b0\u3002\u4f8b\u5982&#xff1a;<\/p>\n<ul>\n<li>\n<p>x\u8f74\u955c\u50cf&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>            [ <\/p>\n<p>                1 <\/p>\n<p>                0 <\/p>\n<p>                0 <\/p>\n<p>                 \u2212 <\/p>\n<p>                 1 <\/p>\n<p>            ] <\/p>\n<p>           \\\\begin{bmatrix} 1 &amp; 0 \\\\\\\\ 0 &amp; -1 \\\\end{bmatrix} <\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 2.4em;vertical-align: -0.95em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.45em\"><span class=\"\" style=\"top: -3.61em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -2.41em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.45em\"><span class=\"\" style=\"top: -3.61em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -2.41em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li>\n<p>y\u8f74\u955c\u50cf&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>            [ <\/p>\n<p>                 \u2212 <\/p>\n<p>                 1 <\/p>\n<p>                0 <\/p>\n<p>                0 <\/p>\n<p>                1 <\/p>\n<p>            ] <\/p>\n<p>           \\\\begin{bmatrix} -1 &amp; 0 \\\\\\\\ 0 &amp; 1 \\\\end{bmatrix} <\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 2.4em;vertical-align: -0.95em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.45em\"><span class=\"\" style=\"top: -3.61em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -2.41em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.45em\"><span class=\"\" style=\"top: -3.61em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -2.41em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li>\n<p>\u4efb\u610f\u76f4\u7ebf\u955c\u50cf&#xff1a;\u9700\u8981\u66f4\u590d\u6742\u7684\u53d8\u6362\u77e9\u9635&#xff08;\u5982\u7ed5\u539f\u70b9\u65cb\u8f6c\u540e\u955c\u50cf\u518d\u65cb\u8f6c\u56de\u6765&#xff09;\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u955c\u50cf\u53d8\u6362\u7684\u884c\u5217\u5f0f\u4e3a\u8d1f\u6570&#xff0c;\u8fd9\u662f\u5224\u65ad\u662f\u5426\u5b58\u5728\u955c\u50cf\u7684\u5173\u952e\u6307\u6807\u3002<\/p>\n<hr \/>\n<h3>&#x1f4d0; \u4e8c\u3001\u955c\u50cf\u5bf9\u5706\u5f27\u53c2\u6570\u7684\u5f71\u54cd<\/h3>\n<h4>1. \u5706\u5fc3<\/h4>\n<ul>\n<li>\u5706\u5fc3\u662f\u4e00\u4e2a\u70b9&#xff0c;\u5e94\u7528\u955c\u50cf\u53d8\u6362\u540e&#xff0c;\u5176\u4f4d\u7f6e\u4f1a\u6309\u7167\u955c\u50cf\u8f74\u5bf9\u79f0\u7ffb\u8f6c\u3002<\/li>\n<li>\u8ba1\u7b97\u65b9\u6cd5&#xff1a;\u76f4\u63a5\u5e94\u7528\u53d8\u6362\u77e9\u9635\u5230\u539f\u5706\u5fc3\u5750\u6807\u3002<\/li>\n<\/ul>\n<h4>2. \u534a\u5f84<\/h4>\n<ul>\n<li>\u955c\u50cf\u4e0d\u4f1a\u6539\u53d8\u534a\u5f84\u7684\u5927\u5c0f&#xff08;\u4ec5\u65b9\u5411\u53d8\u5316&#xff09;&#xff0c;\u56e0\u6b64&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            r <\/p>\n<p>            \u2032 <\/p>\n<p>           &#061; <\/p>\n<p>           \u2223 <\/p>\n<p>           S <\/p>\n<p>           \u2223 <\/p>\n<p>           \u22c5 <\/p>\n<p>           r <\/p>\n<p>          r&#039; &#061; |S| \\\\cdot r <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8019em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/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=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mord\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><\/span><\/span> \u5176\u4e2d $ S $ \u662f\u5747\u5300\u7f29\u653e\u56e0\u5b50&#xff08;\u955c\u50cf\u7f29\u653e\u56e0\u5b50\u4e3a\u8d1f\u6570&#xff0c;\u4f46\u53d6\u7edd\u5bf9\u503c&#xff09;\u3002<\/li>\n<\/ul>\n<h4>3. \u8d77\u59cb\u89d2\u5ea6<\/h4>\n<ul>\n<li>\u955c\u50cf\u4f1a\u5bfc\u81f4\u89d2\u5ea6\u65b9\u5411\u53cd\u8f6c&#xff08;\u5982\u9006\u65f6\u9488\u53d8\u987a\u65f6\u9488&#xff09;&#xff0c;\u8d77\u59cb\u89d2\u5ea6\u7684\u8ba1\u7b97\u9700\u8981\u8c03\u6574&#xff1a;\n<ul>\n<li>\u65e0\u955c\u50cf&#xff1a;$ \\\\alpha\u2019 &#061; \\\\alpha &#043; \\\\theta $<\/li>\n<li>\u6709\u955c\u50cf&#xff1a;$ \\\\alpha\u2019 &#061; -(\\\\alpha &#043; \\\\theta) $ \u6216 $ \\\\alpha\u2019 &#061; \\\\theta &#8211; \\\\alpha $<\/li>\n<li>\u5177\u4f53\u8c03\u6574\u65b9\u5f0f\u53d6\u51b3\u4e8e\u955c\u50cf\u8f74\u7684\u65b9\u5411\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3>&#x1f9ee; \u4e09\u3001\u5982\u4f55\u68c0\u6d4b\u955c\u50cf\u7684\u5b58\u5728&#xff1f;<\/h3>\n<h4>\u65b9\u6cd5&#xff1a;\u8ba1\u7b97\u53d8\u6362\u77e9\u9635\u7684\u884c\u5217\u5f0f<\/h4>\n<p>\u5bf9\u4e8e\u4e8c\u7ef4\u53d8\u6362\u77e9\u9635 $ M &#061; \\\\begin{bmatrix} a &amp; b \\\\ c &amp; d \\\\end{bmatrix} $&#xff0c;\u5176\u884c\u5217\u5f0f\u4e3a&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          det <\/p>\n<p>          ( <\/p>\n<p>          M <\/p>\n<p>          ) <\/p>\n<p>          &#061; <\/p>\n<p>          a <\/p>\n<p>          d <\/p>\n<p>          \u2212 <\/p>\n<p>          b <\/p>\n<p>          c <\/p>\n<p>         \\\\text{det}(M) &#061; ad &#8211; bc <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">det<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/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: 0.7778em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mord mathnormal\">d<\/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: 0.6944em\"><\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<ul>\n<li>det(M) &gt; 0&#xff1a;\u65e0\u955c\u50cf&#xff08;\u4ec5\u65cb\u8f6c\u3001\u7f29\u653e\u3001\u5e73\u79fb&#xff09;<\/li>\n<li>det(M) &lt; 0&#xff1a;\u5b58\u5728\u955c\u50cf&#xff08;\u884c\u5217\u5f0f\u4e3a\u8d1f&#xff09;<\/li>\n<\/ul>\n<hr \/>\n<h3>&#x1f504; \u56db\u3001\u955c\u50cf\u5bf9\u65cb\u8f6c\u65b9\u5411\u7684\u5f71\u54cd<\/h3>\n<p>\u955c\u50cf\u4f1a\u53cd\u8f6c\u65cb\u8f6c\u65b9\u5411&#xff1a;<\/p>\n<ul>\n<li>\u539f\u65cb\u8f6c\u65b9\u5411&#xff1a;\u9006\u65f6\u9488&#xff08;CCW&#xff09;<\/li>\n<li>\u955c\u50cf\u540e\u65cb\u8f6c\u65b9\u5411&#xff1a;\u987a\u65f6\u9488&#xff08;CW&#xff09;<\/li>\n<\/ul>\n<p>\u4f8b\u5982&#xff0c;\u4e00\u4e2a\u9006\u65f6\u9488\u7ed8\u5236\u7684\u5706\u5f27\u5728\u955c\u50cf\u540e\u4f1a\u53d8\u4e3a\u987a\u65f6\u9488\u7ed8\u5236\u3002<\/p>\n<hr \/>\n<h3>&#x1f4cc; \u4e94\u3001\u955c\u50cf\u5bf9\u8d77\u59cb\u89d2\u5ea6\u7684\u8c03\u6574<\/h3>\n<h4>\u60c5\u51b5 1&#xff1a;x\u8f74\u955c\u50cf<\/h4>\n<ul>\n<li>\u539f\u89d2\u5ea6 $ \\\\alpha $ \u2192 \u65b0\u89d2\u5ea6 $ \\\\alpha\u2019 &#061; -\\\\alpha $<\/li>\n<li>\u4f8b\u5982&#xff1a;$ \\\\alpha &#061; \\\\frac{\\\\pi}{4} $ \u2192 $ \\\\alpha\u2019 &#061; -\\\\frac{\\\\pi}{4} $<\/li>\n<\/ul>\n<h4>\u60c5\u51b5 2&#xff1a;y\u8f74\u955c\u50cf<\/h4>\n<ul>\n<li>\u539f\u89d2\u5ea6 $ \\\\alpha $ \u2192 \u65b0\u89d2\u5ea6 $ \\\\alpha\u2019 &#061; \\\\pi &#8211; \\\\alpha $<\/li>\n<li>\u4f8b\u5982&#xff1a;$ \\\\alpha &#061; \\\\frac{\\\\pi}{4} $ \u2192 $ \\\\alpha\u2019 &#061; \\\\frac{3\\\\pi}{4} $<\/li>\n<\/ul>\n<h4>\u901a\u7528\u65b9\u6cd5&#xff1a;\u7ed3\u5408\u884c\u5217\u5f0f\u7b26\u53f7<\/h4>\n<li>\u8ba1\u7b97\u65cb\u8f6c\u89d2\u5ea6 $ \\\\theta $&#xff08;\u4ece\u77e9\u9635\u4e2d\u63d0\u53d6&#xff09;&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           \u03b8 <\/p>\n<p>           &#061; <\/p>\n<p>           Math.Atan2 <\/p>\n<p>           ( <\/p>\n<p>           c <\/p>\n<p>           , <\/p>\n<p>           a <\/p>\n<p>           ) <\/p>\n<p>          \\\\theta &#061; \\\\text{Math.Atan2}(c, a) <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/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=\"mord text\"><span class=\"mord\">Math.Atan2<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u5224\u65ad\u884c\u5217\u5f0f\u7b26\u53f7&#xff1a;\n<ul>\n<li>\u82e5 $ \\\\text{det}(M) &lt; 0 $&#xff0c;\u5b58\u5728\u955c\u50cf \u2192 \u8c03\u6574\u89d2\u5ea6\u65b9\u5411&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>              \u03b1 <\/p>\n<p>              \u2032 <\/p>\n<p>             &#061; <\/p>\n<p>             \u2212 <\/p>\n<p>             ( <\/p>\n<p>             \u03b1 <\/p>\n<p>             &#043; <\/p>\n<p>             \u03b8 <\/p>\n<p>             ) <\/p>\n<p>            \\\\alpha&#039; &#061; -(\\\\alpha &#043; \\\\theta) <\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8019em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/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=\"mord\">\u2212<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u82e5 $ \\\\text{det}(M) &gt; 0 $&#xff0c;\u65e0\u955c\u50cf \u2192 \u6b63\u5e38\u8ba1\u7b97&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>              \u03b1 <\/p>\n<p>              \u2032 <\/p>\n<p>             &#061; <\/p>\n<p>             \u03b1 <\/p>\n<p>             &#043; <\/p>\n<p>             \u03b8 <\/p>\n<p>            \\\\alpha&#039; &#061; \\\\alpha &#043; \\\\theta <\/p>\n<p>        <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8019em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/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: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<hr \/>\n<h3>&#x1f9ea; \u516d\u3001\u793a\u4f8b&#xff1a;\u5305\u542b\u955c\u50cf\u7684\u5706\u5f27\u53d8\u6362<\/h3>\n<h4>\u5df2\u77e5&#xff1a;<\/h4>\n<ul>\n<li>\u539f\u5706\u5fc3&#xff1a;$ (2, 3) $<\/li>\n<li>\u539f\u534a\u5f84&#xff1a;$ r &#061; 5 $<\/li>\n<li>\u539f\u8d77\u59cb\u89d2\u5ea6&#xff1a;$ \\\\alpha &#061; \\\\frac{\\\\pi}{4} $<\/li>\n<li>\u53d8\u6362\u77e9\u9635&#xff08;x\u8f74\u955c\u50cf &#043; \u5e73\u79fb&#xff09;&#xff1a;<\/li>\n<\/ul>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          T <\/p>\n<p>          &#061; <\/p>\n<p>           [ <\/p>\n<p>               1 <\/p>\n<p>               0 <\/p>\n<p>               10 <\/p>\n<p>               0 <\/p>\n<p>                \u2212 <\/p>\n<p>                1 <\/p>\n<p>               5 <\/p>\n<p>               0 <\/p>\n<p>               0 <\/p>\n<p>               1 <\/p>\n<p>           ] <\/p>\n<p>         T &#061; \\\\begin{bmatrix} 1 &amp; 0 &amp; 10 \\\\\\\\ 0 &amp; -1 &amp; 5 \\\\\\\\ 0 &amp; 0 &amp; 1 \\\\end{bmatrix} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/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: 3.6em;vertical-align: -1.55em\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em\"><span class=\"\" style=\"top: -4.05em\"><span class=\"pstrut\" style=\"height: 5.6em\"><\/span><span class=\"\" style=\"width: 0.667em;height: 3.6em\"> <\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em\"><span class=\"\" style=\"top: -4.21em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em\"><span class=\"\" style=\"top: -4.21em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em\"><span class=\"\" style=\"top: -4.21em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">10<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em\"><span class=\"\" style=\"top: -4.05em\"><span class=\"pstrut\" style=\"height: 5.6em\"><\/span><span class=\"\" style=\"width: 0.667em;height: 3.6em\"> <\/p>\n<p>              <\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h4>1. \u5706\u5fc3\u53d8\u6362<\/h4>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>           x <\/p>\n<p>           \u2032 <\/p>\n<p>          &#061; <\/p>\n<p>          1 <\/p>\n<p>          \u22c5 <\/p>\n<p>          2 <\/p>\n<p>          &#043; <\/p>\n<p>          0 <\/p>\n<p>          \u22c5 <\/p>\n<p>          3 <\/p>\n<p>          &#043; <\/p>\n<p>          10 <\/p>\n<p>          &#061; <\/p>\n<p>          12 <\/p>\n<p>           y <\/p>\n<p>           \u2032 <\/p>\n<p>          &#061; <\/p>\n<p>          0 <\/p>\n<p>          \u22c5 <\/p>\n<p>          2 <\/p>\n<p>          &#043; <\/p>\n<p>          ( <\/p>\n<p>          \u2212 <\/p>\n<p>          1 <\/p>\n<p>          ) <\/p>\n<p>          \u22c5 <\/p>\n<p>          3 <\/p>\n<p>          &#043; <\/p>\n<p>          5 <\/p>\n<p>          &#061; <\/p>\n<p>          2 <\/p>\n<p>          \u21d2 <\/p>\n<p>          \u65b0\u5706\u5fc3 <\/p>\n<p>          &#061; <\/p>\n<p>          ( <\/p>\n<p>          12 <\/p>\n<p>          , <\/p>\n<p>          2 <\/p>\n<p>          ) <\/p>\n<p>         x&#039; &#061; 1 \\\\cdot 2 &#043; 0 \\\\cdot 3 &#043; 10 &#061; 12 \\\\\\\\ y&#039; &#061; 0 \\\\cdot 2 &#043; (-1) \\\\cdot 3 &#043; 5 &#061; 2 \\\\\\\\ \\\\Rightarrow \\\\text{\u65b0\u5706\u5fc3} &#061; (12, 2) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8019em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/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: 0.6444em\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">2<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">10<\/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: 0.6444em\"><\/span><span class=\"mord\">12<\/span><\/span><span class=\"mspace newline\"><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9963em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/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: 0.6444em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">2<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">3<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">5<\/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: 0.6444em\"><\/span><span class=\"mord\">2<\/span><\/span><span class=\"mspace newline\"><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.3669em\"><\/span><span class=\"mrel\">\u21d2<\/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 text\"><span class=\"mord cjk_fallback\">\u65b0\u5706\u5fc3<\/span><\/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\">12<\/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><\/span><\/p>\n<h4>2. \u534a\u5f84\u53d8\u6362<\/h4>\n<ul>\n<li>\u7f29\u653e\u56e0\u5b50 $ S &#061; \\\\sqrt{1^2 &#043; 0^2} &#061; 1 $<\/li>\n<li>$ r\u2019 &#061; 5 \\\\cdot 1 &#061; 5 $<\/li>\n<\/ul>\n<h4>3. \u8d77\u59cb\u89d2\u5ea6\u53d8\u6362<\/h4>\n<ul>\n<li>\u77e9\u9635\u884c\u5217\u5f0f $ \\\\text{det}(M) &#061; (1)(-1) &#8211; (0)(0) &#061; -1 &lt; 0 $&#xff0c;\u5b58\u5728\u955c\u50cf<\/li>\n<li>\u65cb\u8f6c\u89d2\u5ea6 $ \\\\theta &#061; \\\\text{Math.Atan2}(0, 1) &#061; 0 $<\/li>\n<li>\u8c03\u6574\u89d2\u5ea6\u65b9\u5411&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>            \u03b1 <\/p>\n<p>            \u2032 <\/p>\n<p>           &#061; <\/p>\n<p>           \u2212 <\/p>\n<p>           ( <\/p>\n<p>           \u03b1 <\/p>\n<p>           &#043; <\/p>\n<p>           \u03b8 <\/p>\n<p>           ) <\/p>\n<p>           &#061; <\/p>\n<p>           \u2212 <\/p>\n<p>            \u03c0 <\/p>\n<p>            4 <\/p>\n<p>          \\\\alpha&#039; &#061; -(\\\\alpha &#043; \\\\theta) &#061; -\\\\frac{\\\\pi}{4} <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8019em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8019em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/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=\"mord\">\u2212<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/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: 1.7936em;vertical-align: -0.686em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<hr \/>\n<h3>\u26a0\ufe0f \u4e03\u3001\u6ce8\u610f\u4e8b\u9879<\/h3>\n<table>\n<tr>\u9879\u76ee\u8bf4\u660e<\/tr>\n<tbody>\n<tr>\n<td>\u884c\u5217\u5f0f\u7b26\u53f7<\/td>\n<td>\u7528\u4e8e\u5224\u65ad\u662f\u5426\u5b58\u5728\u955c\u50cf&#xff08;det &lt; 0&#xff09;<\/td>\n<\/tr>\n<tr>\n<td>\u89d2\u5ea6\u65b9\u5411\u53cd\u8f6c<\/td>\n<td>\u955c\u50cf\u4f1a\u53cd\u8f6c\u65cb\u8f6c\u65b9\u5411&#xff08;\u9006\u65f6\u9488 \u2192 \u987a\u65f6\u9488&#xff09;<\/td>\n<\/tr>\n<tr>\n<td>\u975e\u5747\u5300\u7f29\u653e<\/td>\n<td>\u82e5\u5b58\u5728\u975e\u5747\u5300\u7f29\u653e&#xff0c;\u7ed3\u679c\u4e3a\u692d\u5706\u5f27&#xff0c;\u9700\u7528\u692d\u5706\u53c2\u6570\u8868\u793a<\/td>\n<\/tr>\n<tr>\n<td>\u955c\u50cf\u8f74\u65b9\u5411<\/td>\n<td>\u4e0d\u540c\u955c\u50cf\u8f74&#xff08;x\u8f74\u3001y\u8f74\u3001\u4efb\u610f\u76f4\u7ebf&#xff09;\u9700\u5206\u522b\u5904\u7406\u89d2\u5ea6\u8c03\u6574<\/td>\n<\/tr>\n<tr>\n<td>\u6570\u503c\u7cbe\u5ea6<\/td>\n<td>\u5b9e\u9645\u8ba1\u7b97\u4e2d\u6ce8\u610f\u6d6e\u70b9\u6570\u8bef\u5dee\u5bf9\u89d2\u5ea6\u7684\u5f71\u54cd<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<h3>\u2705 \u516b\u3001\u603b\u7ed3&#xff1a;\u5305\u542b\u955c\u50cf\u7684\u5706\u5f27\u53d8\u6362\u53c2\u6570\u8ba1\u7b97<\/h3>\n<table>\n<tr>\u53c2\u6570\u8ba1\u7b97\u65b9\u6cd5<\/tr>\n<tbody>\n<tr>\n<td>\u5706\u5fc3<\/td>\n<td>\u76f4\u63a5\u5e94\u7528\u53d8\u6362\u77e9\u9635\u5230\u539f\u5706\u5fc3\u5750\u6807<\/td>\n<\/tr>\n<tr>\n<td>\u534a\u5f84<\/td>\n<td>\u539f\u534a\u5f84\u4e58\u4ee5\u7f29\u653e\u56e0\u5b50\u7684\u7edd\u5bf9\u503c&#xff08;$ r\u2019 &#061;<\/td>\n<\/tr>\n<tr>\n<td>\u8d77\u59cb\u89d2\u5ea6<\/td>\n<td>\u65cb\u8f6c\u89d2\u5ea6 $ \\\\theta $ \u52a0\u4e0a\u539f\u8d77\u59cb\u89d2\u5ea6 $ \\\\alpha <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>            &#xff0c;\u82e5\u5b58\u5728\u955c\u50cf\u5219\u53cd\u8f6c\u65b9\u5411&#xff08; <\/p>\n<p>           &#xff0c;\u82e5\u5b58\u5728\u955c\u50cf\u5219\u53cd\u8f6c\u65b9\u5411&#xff08; <\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord cjk_fallback\">&#xff0c;\u82e5\u5b58\u5728\u955c\u50cf\u5219\u53cd\u8f6c\u65b9\u5411&#xff08;<\/span><\/span><\/span><\/span><\/span> \\\\alpha\u2019 &#061; -(\\\\alpha &#043; \\\\theta) $&#xff09;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<h3>&#x1f9e0; \u4e5d\u3001\u6269\u5c55&#xff1a;\u4efb\u610f\u955c\u50cf\u8f74\u7684\u5904\u7406<\/h3>\n<p>\u5982\u679c\u955c\u50cf\u8f74\u4e0d\u662f\u5750\u6807\u8f74&#xff08;\u5982\u659c\u7ebf&#xff09;&#xff0c;\u9700\u8981\u66f4\u590d\u6742\u7684\u5904\u7406&#xff1a;<\/p>\n<li>\u5206\u89e3\u53d8\u6362\u77e9\u9635&#xff1a;\u5206\u79bb\u65cb\u8f6c\u3001\u7f29\u653e\u548c\u955c\u50cf\u6210\u5206\u3002<\/li>\n<li>\u955c\u50cf\u8f74\u65b9\u5411&#xff1a;\u901a\u8fc7\u77e9\u9635\u7279\u5f81\u5411\u91cf\u6216\u6781\u5206\u89e3\u786e\u5b9a\u955c\u50cf\u8f74\u65b9\u5411\u3002<\/li>\n<li>\u89d2\u5ea6\u8c03\u6574&#xff1a;\u6839\u636e\u955c\u50cf\u8f74\u65b9\u5411\u91cd\u65b0\u8ba1\u7b97\u8d77\u59cb\u89d2\u5ea6\u3002<\/li>\n<p>\u4f8b\u5982&#xff0c;\u955c\u50cf\u8f74\u4e3a $ y &#061; x $ \u65f6&#xff1a;<\/p>\n<ul>\n<li>\u53d8\u6362\u77e9\u9635\u4e3a&#xff1a; <span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\n<p>           [ <\/p>\n<p>               0 <\/p>\n<p>               1 <\/p>\n<p>               1 <\/p>\n<p>               0 <\/p>\n<p>           ] <\/p>\n<p>          \\\\begin{bmatrix} 0 &amp; 1 \\\\\\\\ 1 &amp; 0 \\\\end{bmatrix} <\/p>\n<p>      <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 2.4em;vertical-align: -0.95em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.45em\"><span class=\"\" style=\"top: -3.61em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -2.41em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.45em\"><span class=\"\" style=\"top: -3.61em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -2.41em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u8d77\u59cb\u89d2\u5ea6 $ \\\\alpha $ \u4f1a\u53d8\u4e3a $ \\\\frac{\\\\pi}{2} &#8211; \\\\alpha $\u3002<\/li>\n<\/ul>\n<hr \/>\n<p>\u901a\u8fc7\u4e0a\u8ff0\u65b9\u6cd5&#xff0c;\u4f60\u53ef\u4ee5\u51c6\u786e\u5904\u7406\u5305\u542b\u955c\u50cf\u7684\u5706\u5f27\u53d8\u6362\u95ee\u9898\u3002\u5728\u5b9e\u9645\u5f00\u53d1\u4e2d&#xff0c;\u5efa\u8bae\u7ed3\u5408\u884c\u5217\u5f0f\u7b26\u53f7\u548c\u77e9\u9635\u5206\u89e3\u6280\u672f&#xff0c;\u52a8\u6001\u8c03\u6574\u89d2\u5ea6\u65b9\u5411\u548c\u65cb\u8f6c\u65b9\u5411&#xff0c;\u4ee5\u786e\u4fdd\u56fe\u5f62\u7684\u6b63\u786e\u6027\u548c\u4e00\u81f4\u6027\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb324\u6b21\uff0c\u70b9\u8d5e4\u6b21\uff0c\u6536\u85cf8\u6b21\u3002\u53c2\u6570\u8ba1\u7b97\u65b9\u6cd5\u5706\u5fc3\u76f4\u63a5\u5e94\u7528\u53d8\u6362\u77e9\u9635\u5230\u539f\u5706\u5fc3\u5750\u6807\u534a\u5f84\u539f\u534a\u5f84\u4e58\u4ee5\u7f29\u653e\u56e0\u5b50\u7684\u7edd\u5bf9\u503c\uff08$ r\u2019 =\u8d77\u59cb\u89d2\u5ea6\u65cb\u8f6c\u89d2\u5ea6 $ \\\\theta $ \u52a0\u4e0a\u539f\u8d77\u59cb\u89d2\u5ea6 $ \\\\alpha\uff0c\u82e5\u5b58\u5728\u955c\u50cf\u5219\u53cd\u8f6c\u65b9\u5411\uff08\uff0c\u82e5\u5b58\u5728\u955c\u50cf\u5219\u53cd\u8f6c\u65b9\u5411\uff08\uff0c\u82e5\u5b58\u5728\u955c\u50cf\u5219\u53cd\u8f6c\u65b9\u5411\uff08<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[3862,207,1578,1649],"topic":[],"class_list":["post-41900","post","type-post","status-publish","format-standard","hentry","category-server","tag-opencascade","tag-207","tag-1578","tag-1649"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4e8c\u7ef4 \u6839\u636e\u77e9\u9635\u53d8\u6362\u8ba1\u7b97\u955c\u50cf\u65cb\u8f6c\u89d2\u5ea6 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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