{"id":89063,"date":"2026-08-02T10:32:43","date_gmt":"2026-08-02T02:32:43","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/89063.html"},"modified":"2026-08-02T10:32:43","modified_gmt":"2026-08-02T02:32:43","slug":"2023%e5%b9%b4csp-j%e5%88%9d%e8%b5%9b%e7%9c%9f%e9%a2%98%e5%8f%8a%e7%ad%94%e6%a1%88%e8%a7%a3%e6%9e%90%e9%98%85%e8%af%bb%e7%a8%8b%e5%ba%8f1","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/89063.html","title":{"rendered":"2023\u5e74CSP-J\u521d\u8d5b\u771f\u9898\u53ca\u7b54\u6848\u89e3\u6790(\u9605\u8bfb\u7a0b\u5e8f1)"},"content":{"rendered":"<h2>2023\u5e74CSP-J\u521d\u8d5b\u771f\u9898\u53ca\u7b54\u6848\u89e3\u6790(\u9605\u8bfb\u7a0b\u5e8f1)<\/h2>\n<h3>\u7b2c 1 \u9898<\/h3>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;iostream&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;cmath&gt;<\/span><\/span><br \/>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">double<\/span> <span class=\"token function\">f<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">double<\/span> a<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">double<\/span> b<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">double<\/span> c<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">double<\/span> s<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token operator\">&#043;<\/span>b<span class=\"token operator\">&#043;<\/span>c<span class=\"token punctuation\">)<\/span><span class=\"token operator\">\/<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token function\">sqrt<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token operator\">*<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token operator\">&#8211;<\/span>a<span class=\"token punctuation\">)<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token operator\">&#8211;<\/span>b<span class=\"token punctuation\">)<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token operator\">&#8211;<\/span>c<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\n   cout<span class=\"token punctuation\">.<\/span><span class=\"token function\">flags<\/span><span class=\"token punctuation\">(<\/span>ios<span class=\"token double-colon punctuation\">::<\/span>fixed<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n   cout<span class=\"token punctuation\">.<\/span><span class=\"token function\">precision<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n   <span class=\"token keyword\">int<\/span> a<span class=\"token punctuation\">,<\/span>b<span class=\"token punctuation\">,<\/span>c<span class=\"token punctuation\">;<\/span><br \/>\n   cin<span class=\"token operator\">&gt;&gt;<\/span>a<span class=\"token operator\">&gt;&gt;<\/span>b<span class=\"token operator\">&gt;&gt;<\/span>c<span class=\"token punctuation\">;<\/span><br \/>\n   cout<span class=\"token operator\">&lt;&lt;<\/span><span class=\"token function\">f<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span>b<span class=\"token punctuation\">,<\/span>c<span class=\"token punctuation\">)<\/span><span class=\"token operator\">&lt;&lt;<\/span>endl<span class=\"token punctuation\">;<\/span><br \/>\n   <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u5047\u8bbe\u8f93\u5165\u7684\u6240\u6709\u6570\u90fd\u4e3a\u4e0d\u8d85\u8fc7 1000 \u7684\u6b63\u6574\u6570\u3002<\/p>\n<h4>\u5224\u65ad\u9898<\/h4>\n<li>\u5f53\u8f93\u5165\u4e3a 2 2 2 \u65f6&#xff0c;\u8f93\u51fa\u4e3a 1.7321&#xff08; &#xff09; \u7b54\u6848&#xff1a;A&#xff08;\u6b63\u786e&#xff09; \u89e3\u6790&#xff1a; \u9762\u79ef &#061; sqrt(3) \u2248 1.73205&#xff0c;\u4fdd\u7559\u56db\u4f4d\u5c0f\u6570\u4e3a 1.7321\u3002<\/li>\n<li>\u5c06\u7b2c7\u884c\u4e2d\u7684 (s-b)*(s-c) \u6539\u4e3a (s-c)*(s-b) \u4e0d\u4f1a\u5f71\u54cd\u7a0b\u5e8f\u8fd0\u884c\u7684\u7ed3\u679c&#xff08; &#xff09; \u7b54\u6848&#xff1a;A&#xff08;\u6b63\u786e&#xff09; \u89e3\u6790&#xff1a; \u4e58\u6cd5\u6ee1\u8db3\u4ea4\u6362\u5f8b\u3002<\/li>\n<li>\u7a0b\u5e8f\u603b\u662f\u8f93\u51fa\u56db\u4f4d\u5c0f\u6570&#xff08; &#xff09; \u7b54\u6848&#xff1a;A&#xff08;\u6b63\u786e&#xff09; \u89e3\u6790&#xff1a; cout.precision(4) \u4e14 fixed&#xff0c;\u59cb\u7ec8\u8f93\u51fa\u5c0f\u6570\u70b9\u540e 4 \u4f4d\u3002<\/li>\n<h4>\u5355\u9009\u9898<\/h4>\n<li>\u5f53\u8f93\u5165\u4e3a 3 4 5 \u65f6&#xff0c;\u8f93\u51fa\u4e3a&#xff08; &#xff09; A. 6.0000 B. 12.0000 C. 24.0000 D. 30.0000 \u7b54\u6848&#xff1a;A \u89e3\u6790&#xff1a; \u76f4\u89d2\u4e09\u89d2\u5f62\u9762\u79ef &#061; 6&#xff0c;\u8f93\u51fa 6.0000\u3002<\/li>\n<li>\u5f53\u8f93\u5165\u4e3a 5 12 13 \u65f6&#xff0c;\u8f93\u51fa\u4e3a&#xff08; &#xff09; A. 6.0000 B. 30.0000 C. 60.0000 D. 120.0000 \u7b54\u6848&#xff1a;B \u89e3\u6790&#xff1a; \u9762\u79ef &#061; 30&#xff0c;\u8f93\u51fa 30.0000\u3002<\/li>\n<p>\u66f4\u591a\u5185\u5bb9\u8bf7\u5173\u6ce8\u4e13\u680f&#xff1a;\u4fe1\u5965\u8d5bC&#043;&#043;\u666e\u53ca\u7ec4csp-j\u521d\u8d5b&amp;\u590d\u8d5b\u771f\u9898\u9898\u89e3&#xff08;\u6301\u7eed\u66f4\u65b0&#xff09;&#xff1a;https:\/\/blog.csdn.net\/weixin_66461496\/category_12808781.html \u70b9\u51fb\u8df3\u8f6c<\/p>\n<hr \/>\n<h3>\u3010\u79d8\u7c4d\u6c47\u603b\u3011&#xff08;\u5b8c\u6574csp\u4fe1\u5965\u8d5bC&#043;&#043;\u5b66\u4e60\u8d44\u6599&#xff09;&#xff1a;<\/h3>\n<p>1\u3001csp\/\u4fe1\u5965\u8d5bC&#043;&#043;&#xff0c;\u5b8c\u6574\u4fe1\u5965\u8d5b\u7cfb\u5217\u8bfe\u7a0b&#xff08;\u6c38\u4e45\u5b66\u4e60&#xff09;&#xff1a;<\/p>\n<p>https:\/\/edu.csdn.net\/lecturer\/7901 \u70b9\u51fb\u8df3\u8f6c<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260802023240-6a6eac48df29f.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>2\u3001CSP\u4fe1\u5965\u8d5bC&#043;&#043;\u7ade\u8d5b\u62ff\u5956\u89c6\u9891\u8bfe&#xff1a;<\/p>\n<p>https:\/\/edu.csdn.net\/course\/detail\/40437 \u70b9\u51fb\u8df3\u8f6c <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260802023241-6a6eac4943447.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> https:\/\/edu.csdn.net\/course\/detail\/41081 \u70b9\u51fb\u8df3\u8f6c <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260802023241-6a6eac49b1104.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>3\u3001csp\u4fe1\u5965\u8d5b\u9ad8\u9891\u8003\u70b9\u77e5\u8bc6\u8be6\u89e3\u53ca\u6848\u4f8b\u5b9e\u8df5&#xff1a;<\/p>\n<p>CSP\u4fe1\u5965\u8d5bC&#043;&#043;\u52a8\u6001\u89c4\u5212&#xff1a; https:\/\/blog.csdn.net\/weixin_66461496\/category_13096895.html\u70b9\u51fb\u8df3\u8f6c<\/p>\n<p>CSP\u4fe1\u5965\u8d5bC&#043;&#043;\u6807\u51c6\u6a21\u677f\u5e93STL&#xff1a; https:\/\/blog.csdn.net\/weixin_66461496\/category_13108077.html \u70b9\u51fb\u8df3\u8f6c<\/p>\n<p>\u4fe1\u5965\u8d5bC&#043;&#043;\u63d0\u9ad8\u7ec4csp-s\u77e5\u8bc6\u8be6\u89e3\u53ca\u6848\u4f8b\u5b9e\u8df5&#xff1a; https:\/\/blog.csdn.net\/weixin_66461496\/category_13113932.html \u70b9\u51fb\u8df3\u8f6c<\/p>\n<p>4\u3001csp\u4fe1\u5965\u8d5b\u51b2\u523a\u4e00\u7b49\u5956\u6709\u6548\u5237\u9898\u9898\u89e3&#xff1a;<\/p>\n<p>\u4fe1\u5965\u8d5bC&#043;&#043;\u666e\u53ca\u7ec4CSP-J\u4e00\u7b49\u5956\u901a\u5173\u5237\u9898\u9898\u5355\u53ca\u9898\u89e3&#xff1a; https:\/\/blog.csdn.net\/weixin_66461496\/category_12673810.html \u70b9\u51fb\u8df3\u8f6c<\/p>\n<p>\u4fe1\u5965\u8d5bC&#043;&#043;\u666e\u53ca\u7ec4csp-j\u521d\u8d5b&amp;\u590d\u8d5b\u771f\u9898\u9898\u89e3&#xff08;\u6301\u7eed\u66f4\u65b0&#xff09;&#xff1a;https:\/\/blog.csdn.net\/weixin_66461496\/category_12808781.html \u70b9\u51fb\u8df3\u8f6c<\/p>\n<p>\u4fe1\u5965\u8d5bC&#043;&#043;\u63d0\u9ad8\u7ec4csp-s\u521d\u8d5b&amp;\u590d\u8d5b\u771f\u9898\u9898\u89e3&#xff08;\u6301\u7eed\u66f4\u65b0&#xff09;&#xff1a; https:\/\/blog.csdn.net\/weixin_66461496\/category_13125089.html \u70b9\u51fb\u8df3\u8f6c<\/p>\n<p>5\u3001GESP C&#043;&#043;\u8003\u7ea7\u771f\u9898\u9898\u89e3&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260802023242-6a6eac4a1b24b.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>GESP(C&#043;&#043; \u4e00\u7ea7&#043;\u4e8c\u7ea7&#043;\u4e09\u7ea7)\u771f\u9898\u9898\u89e3&#xff08;\u6301\u7eed\u66f4\u65b0&#xff09;&#xff1a;https:\/\/blog.csdn.net\/weixin_66461496\/category_12858102.html \u70b9\u51fb\u8df3\u8f6c<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260802023242-6a6eac4a31968.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>GESP(C&#043;&#043; \u56db\u7ea7&#043;\u4e94\u7ea7&#043;\u516d\u7ea7)\u771f\u9898\u9898\u89e3&#xff08;\u6301\u7eed\u66f4\u65b0&#xff09;&#xff1a;https:\/\/blog.csdn.net\/weixin_66461496\/category_12869848.html \u70b9\u51fb\u8df3\u8f6c<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260802023242-6a6eac4a47db0.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/> GESP(C&#043;&#043; \u4e03\u7ea7&#043;\u516b\u7ea7)\u771f\u9898\u9898\u89e3&#xff08;\u6301\u7eed\u66f4\u65b0&#xff09;&#xff1a; https:\/\/blog.csdn.net\/weixin_66461496\/category_13117178.html \u70b9\u51fb\u8df3\u8f6c<\/p>\n<h3>\u00b7 \u6587\u672b\u795d\u798f \u00b7<\/h3>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;bits\/stdc&#043;&#043;.h&gt;<\/span><\/span><br \/>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span><br \/>\ncout<span class=\"token operator\">&lt;&lt;<\/span><span class=\"token string\">&#034;\u8ddf\u7740\u738b\u8001\u5e08\u4e00\u8d77\u5b66\u4e60\u4fe1\u5965\u8d5bC&#043;&#043;&#034;<\/span><span class=\"token punctuation\">;<\/span><br \/>\ncout<span class=\"token operator\">&lt;&lt;<\/span><span class=\"token string\">&#034; 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