{"id":11729,"date":"2023-10-04T21:54:49","date_gmt":"2023-10-04T13:54:49","guid":{"rendered":"https:\/\/blog.iyatt.com\/?p=11729"},"modified":"2025-03-23T10:06:08","modified_gmt":"2025-03-23T02:06:08","slug":"%e5%9c%86%e9%94%a5%e6%9b%b2%e7%ba%bf%ef%bc%88%e7%bc%96%e8%be%91%e4%b8%ad%ef%bc%89","status":"publish","type":"post","link":"https:\/\/blog.iyatt.com\/?p=11729","title":{"rendered":"\u5706\u9525\u66f2\u7ebf"},"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=11729\/#%E6%A4%AD%E5%9C%86\" >\u692d\u5706<\/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=11729\/#%E5%8F%8C%E6%9B%B2%E7%BA%BF\" >\u53cc\u66f2\u7ebf<\/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=11729\/#%E6%8A%9B%E7%89%A9%E7%BA%BF\" >\u629b\u7269\u7ebf<\/a><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"%E6%A4%AD%E5%9C%86\"><\/span>\u692d\u5706<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p><img decoding=\"async\" data-src=\"https:\/\/blog.iyatt.com\/wp-content\/uploads\/2023\/10\/image-1696426791277.png\" alt=\"file\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 600px; --smush-placeholder-aspect-ratio: 600\/356;\" \/><\/p>\n<p>\u6807\u51c6\u65b9\u7a0b\uff1a<code class=\"katex-inline\">\\frac{x^2}{a^2}+\\frac{y^2}{b^2}=1<\/code><\/p>\n<p>a \u4e3a\u957f\u534a\u8f74\uff0cb \u4e3a\u77ed\u534a\u8f74\uff0cc \u4e3a\u7126\u70b9\uff0c\u4e09\u8005\u5173\u7cfb\uff1a<code class=\"katex-inline\">a^2=b^2+c^2<\/code><br \/>\nP \u4e3a\u692d\u5706\u66f2\u7ebf\u4e0a\u4e00\u70b9\uff0c\u5219\u6709<code class=\"katex-inline\">|PF_1|+|PF_2|=2a<\/code><br \/>\n\u79bb\u5fc3\u7387\uff1a<code class=\"katex-inline\">e=\\frac{c}{a}<\/code>\uff08\u63a5\u8fd1 0 \u5c31\u5706\uff0c\u63a5\u8fd1 1 \u5c31\u8d8a\u6241\uff09<\/p>\n<p><img decoding=\"async\" data-src=\"https:\/\/blog.iyatt.com\/wp-content\/uploads\/2023\/10\/image-1696426616771.png\" alt=\"file\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 615px; --smush-placeholder-aspect-ratio: 615\/357;\" \/><\/p>\n<p>\u901a\u5f84\uff1a<code class=\"katex-inline\">|AB|=\\frac{2b^2}{a}<\/code><\/p>\n<p><img decoding=\"async\" data-src=\"https:\/\/blog.iyatt.com\/wp-content\/uploads\/2023\/10\/image-1696426019985.png\" alt=\"file\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 315px; --smush-placeholder-aspect-ratio: 315\/596;\" \/><\/p>\n<p>\u957f\u8f74\u5728 y \u8f74\u7684\u8bdd\u65b9\u7a0b\u5c31\u662f\uff1a<code class=\"katex-inline\">\\frac{x^2}{b^2}+\\frac{y^2}{a^2}=1<\/code><\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E5%8F%8C%E6%9B%B2%E7%BA%BF\"><\/span>\u53cc\u66f2\u7ebf<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p><img decoding=\"async\" data-src=\"https:\/\/blog.iyatt.com\/wp-content\/uploads\/2023\/10\/image-1696444573586.png\" alt=\"file\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 608px; --smush-placeholder-aspect-ratio: 608\/731;\" \/><\/p>\n<p>\u6807\u51c6\u65b9\u7a0b\uff1a<code class=\"katex-inline\">\\frac{x^2}{a^2}-\\frac{y^2}{b^2}=1<\/code><br \/>\n\u5982\u679c\u662f\u5173\u4e8e x \u8f74\u5bf9\u79f0\u7684\u53cc\u66f2\u7ebf\uff0c\u5219\u662f <code class=\"katex-inline\">\\frac{y^2}{a^2}-\\frac{x^2}{b^2}=1<\/code><\/p>\n<p>\u4e24\u4e2a\u9876\u70b9\u95f4\u957f\u5ea6\u4e3a\u5b9e\u8f74\u957f\uff0c\u5373 2a\uff0c\u8fc7\u9876\u70b9\u4e0e\u5b9e\u8f74\u5782\u76f4\u4ea4\u4e8e\u4e24\u6761\u6e10\u8fd1\u7ebf\u7684\u4e24\u70b9\uff0c\u8fd9\u4e24\u70b9\u95f4\u4e3a\u865a\u8f74\u957f\uff0c\u5373 2b\uff0c\u5219\u539f\u70b9\u5230\u5176\u4e2d\u4e00\u4e2a\u4ea4\u70b9\u7684\u8ddd\u79bb\u5373\u4e3a c\u3002\u4e09\u8005\u5173\u7cfb\u4e3a <code class=\"katex-inline\">c^2=a^2+b^2<\/code><br \/>\nP \u4e3a\u53cc\u66f2\u7ebf\u4e0a\u4e00\u70b9\uff0c\u5219\u6709 <code class=\"katex-inline\">||PF_1|-|PF_2||=2a<\/code><br \/>\n\u4e24\u6761\u6e10\u8fd1\u7ebf\u65b9\u7a0b\uff08\u8fc7\u539f\u70b9\u7684\u4e24\u6761\u7eff\u8272\u865a\u7ebf\uff09\uff1a<code class=\"katex-inline\">y=\\pm\\frac{b}{a}x<\/code><br \/>\n\u79bb\u5fc3\u7387\uff1a<code class=\"katex-inline\">e=\\frac{c}{a}<\/code><br \/>\n\u901a\u5f84\uff1a<code class=\"katex-inline\">|AB|=\\frac{2b^2}{a}<\/code><\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E6%8A%9B%E7%89%A9%E7%BA%BF\"><\/span>\u629b\u7269\u7ebf<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p><img decoding=\"async\" data-src=\"https:\/\/blog.iyatt.com\/wp-content\/uploads\/2023\/10\/image-1696483781188.png\" alt=\"file\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 433px; --smush-placeholder-aspect-ratio: 433\/625;\" \/><\/p>\n<p>\u6807\u51c6\u65b9\u7a0b\uff1a<code class=\"katex-inline\">y^2=2px<\/code>\uff08<code class=\"katex-inline\">p\\gt0<\/code>\u65f6\uff0c\u56fe\u50cf\u5728\u6b63\u534a\u8f74\uff0c<code class=\"katex-inline\">p\\lt0<\/code> \u65f6\uff0c\u5728\u8d1f\u534a\u8f74\uff09<br \/>\n\u5982\u679c\u629b\u7269\u7ebf\u5728 x \u8f74\u4e0a\u4fa7\u6216\u4e0b\u4fa7\uff0c\u5219\u65b9\u7a0b x \u548c y \u5bf9\u6362\u4f4d\u7f6e\u5373\u53ef<\/p>\n<p>\u629b\u7269\u7ebf\u7684\u79bb\u5fc3\u7387\u6052\u4e3a 1<br \/>\na \u4e3a\u7126\u70b9<code class=\"katex-inline\">(\\frac{p}{2},0)<\/code>\u5230\u51c6\u7ebf(<code class=\"katex-inline\">x=-\\frac{p}{2}<\/code>)\u8ddd\u79bb\u7684\u4e00\u534a\uff0c\u5373 <code class=\"katex-inline\">a=\\frac{p}{2}<\/code>\uff1bb \u4e3a\u629b\u7269\u7ebf\u9876\u70b9\u6a2a\u5750\u6807\uff0c\u5373 0\uff1bc \u4e3a\u7126\u70b9\u5230\u9876\u70b9\u7684\u8ddd\u79bb<br \/>\n\u901a\u5f84\uff1a<code>|AB|=2p<\/code><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u692d\u5706 \u6807\u51c6\u65b9\u7a0b\uff1a\\frac{x^2}{a^2}+\\frac{y^2}{b^2}=1 a \u4e3a\u957f\u534a\u8f74\uff0cb \u4e3a\u77ed\u534a\u8f74 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"zakra_page_container_layout":"customizer","zakra_page_sidebar_layout":"customizer","zakra_remove_content_margin":false,"zakra_sidebar":"customizer","zakra_transparent_header":"customizer","zakra_logo":0,"zakra_main_header_style":"default","zakra_menu_item_color":"","zakra_menu_item_hover_color":"","zakra_menu_item_active_color":"","zakra_menu_active_style":"","zakra_page_header":true,"_lmt_disableupdate":"no","_lmt_disable":"no","footnotes":""},"categories":[1,612],"tags":[],"class_list":["post-11729","post","type-post","status-publish","format-standard","hentry","category-all","category-612"],"modified_by":"IYATT-yx","_links":{"self":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/11729","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11729"}],"version-history":[{"count":1,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/11729\/revisions"}],"predecessor-version":[{"id":19649,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/11729\/revisions\/19649"}],"wp:attachment":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11729"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11729"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}