{"id":10917,"date":"2023-08-16T21:46:56","date_gmt":"2023-08-16T13:46:56","guid":{"rendered":"https:\/\/blog.iyatt.com\/?p=10917"},"modified":"2024-05-05T12:32:01","modified_gmt":"2024-05-05T04:32:01","slug":"%e9%97%ad%e5%8c%ba%e9%97%b4%e4%b8%8a%e8%bf%9e%e7%bb%ad%e5%87%bd%e6%95%b0%e7%9a%84%e6%80%a7%e8%b4%a8","status":"publish","type":"post","link":"https:\/\/blog.iyatt.com\/?p=10917","title":{"rendered":"\u95ed\u533a\u95f4\u4e0a\u8fde\u7eed\u51fd\u6570\u7684\u6027\u8d28"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 ez-toc-wrap-center counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u76ee\u5f55<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.iyatt.com\/?p=10917\/#%E6%9C%80%E5%80%BC%E5%AE%9A%E7%90%86\" >\u6700\u503c\u5b9a\u7406<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.iyatt.com\/?p=10917\/#%E6%9C%89%E7%95%8C%E6%80%A7%E5%AE%9A%E7%90%86\" >\u6709\u754c\u6027\u5b9a\u7406<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.iyatt.com\/?p=10917\/#%E4%BB%8B%E5%80%BC%E5%AE%9A%E7%90%86\" >\u4ecb\u503c\u5b9a\u7406<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.iyatt.com\/?p=10917\/#%E9%9B%B6%E7%82%B9%E5%AE%9A%E7%90%86\" >\u96f6\u70b9\u5b9a\u7406<\/a><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"%E6%9C%80%E5%80%BC%E5%AE%9A%E7%90%86\"><\/span>\u6700\u503c\u5b9a\u7406<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u8bbe<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u4e0a\u8fde\u7eed\uff0c\u5219<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u4e0a\u5fc5\u6709\u6700\u5927\u503c\u4e0e\u6700\u5c0f\u503c\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E6%9C%89%E7%95%8C%E6%80%A7%E5%AE%9A%E7%90%86\"><\/span>\u6709\u754c\u6027\u5b9a\u7406<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u8bbe<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u8fde\u7eed\uff0c\u5219<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u4e0a\u5fc5\u6709\u754c\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E4%BB%8B%E5%80%BC%E5%AE%9A%E7%90%86\"><\/span>\u4ecb\u503c\u5b9a\u7406<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u8bbe<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u4e0a\u8fde\u7eed\uff0c\u4e14<code class=\"katex-inline\">f(a)\\ne f(b)<\/code>\uff0c\u5219\u5bf9\u4e8e\u4efb\u610f\u4ecb\u4e8e<code>f(a)<\/code>\u4e0e<code>f(b)<\/code>\u4e4b\u95f4\u7684\u6570<code>C<\/code>\uff0c\u81f3\u5c11\u5b58\u5728\u4e00\u70b9<code class=\"katex-inline\">\\xi\\in(a,b)<\/code>\uff0c\u4f7f<code class=\"katex-inline\">f(\\xi)=C<\/code>\u3002<\/p>\n<p>\u5176\u5b83\u8868\u8ff0\uff1a<br \/>\n\u8bbe<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u4e0a\u8fde\u7eed\uff0c\u4e14<code>m<\/code>\uff0c<code>M<\/code>\u662f<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u4e0a\u7684\u6700\u5c0f\u503c\u548c\u6700\u5927\u503c\uff0c\u5219\u5bf9\u4ecb\u4e8e<code>m<\/code>\u548c<code>M<\/code>\u4e4b\u95f4\u7684\u4efb\u4e00\u5c5e<code>C<\/code>\uff08<code class=\"katex-inline\">m\\lt C\\lt M<\/code>\uff09\uff0c\u5219\u5728<code>(a,b)<\/code>\u5185\u81f3\u5c11\u6709\u4e00\u70b9<code class=\"katex-inline\">\\xi<\/code>\uff0c\u4f7f<code class=\"katex-inline\">f(\\xi)=C<\/code>\u3002\uff08\u82e5<code>C<\/code>\u6ee1\u8db3<code class=\"katex-inline\">m\\le C\\le M<\/code>\uff0c\u5219<code class=\"katex-inline\">\\xi\\in[a,b]<\/code>\uff09<\/p>\n<p>\u63a8\u8bba\uff1a<br \/>\n\u82e5<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u4e0a\u8fde\u7eed\uff0c\u5728<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u4e0a\u53ef\u4ee5\u53d6\u5f97\u4ecb\u4e8e\u6700\u5c0f\u503c<code>m<\/code>\u4e0e\u6700\u5927\u503c<code>M<\/code>\u4e4b\u95f4\u7684\u4efb\u4f55\u503c\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E9%9B%B6%E7%82%B9%E5%AE%9A%E7%90%86\"><\/span>\u96f6\u70b9\u5b9a\u7406<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u8bbe<code>f(x)<\/code>\u5728<code>[a,b]<\/code>\u4e0a\u8fde\u7eed\uff0c\u4e14<code class=\"katex-inline\">f(a)\\cdot f(b)\\lt0<\/code>\uff0c\u5219\u81f3\u5c11\u5b58\u5728\u4e00\u70b9<code class=\"katex-inline\">\\xi\\in(a,b)<\/code>\uff0c\u4f7f<code class=\"katex-inline\">f(\\xi)=0<\/code>\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6700\u503c\u5b9a\u7406 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