{"id":25,"date":"2023-09-17T11:05:21","date_gmt":"2023-09-17T11:05:21","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/"},"modified":"2023-09-17T11:05:21","modified_gmt":"2023-09-17T11:05:21","slug":"%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u6709\u7406\u51fd\u6570"},"content":{"rendered":"<p>\u5728\u8fd9\u91cc\u60a8\u5c06\u53d1\u73b0\u4ec0\u4e48\u662f\u6709\u7406\u51fd\u6570\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u89e3\u91ca\u4e86\u5982\u4f55\u8ba1\u7b97\u6709\u7406\u51fd\u6570\u7684\u57df\u548c\u6e10\u8fd1\u7ebf\u3002\u4e0d\u4ec5\u5982\u6b64\uff0c\u60a8\u8fd8\u4f1a\u770b\u5230\u6709\u7406\u51fd\u6570\u7684\u6240\u6709\u7279\u5f81\u662f\u4ec0\u4e48\u3002\u6700\u540e\uff0c\u60a8\u53ef\u4ee5\u9010\u6b65\u7ec3\u4e60\u6709\u7406\u51fd\u6570\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-racional\"><\/span>\u4ec0\u4e48\u662f\u6709\u7406\u51fd\u6570\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u7406\u51fd\u6570\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a<\/p>\n<p><strong>\u6709\u7406\u51fd\u6570\u662f\u7531\u4e24\u4e2a\u591a\u9879\u5f0f\u7684\u5546\u5f62\u6210\u7684\u51fd\u6570<\/strong>\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u6709\u7406\u51fd\u6570\u662f\u5206\u5b50\u548c\u5206\u6bcd\u4e2d\u90fd\u6709\u591a\u9879\u5f0f\u7684\u5206\u6570\u3002<\/p>\n<p>\u6709\u7406\u51fd\u6570\u7684\u7279\u5f81\u662f\u5728\u5206\u6bcd\u6d88\u5931\u7684\u70b9\u5904\u5b58\u5728\u5947\u70b9\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80ec33ef964f9463287fb8c93605b34_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{a_0+a_1x+a_2x^2+\\dots +a_nx^n}{b_0+b_1x+b_2x^2+\\dots +n_nx^n}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"285\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p>\u6709\u7406\u51fd\u6570\u4e5f\u79f0\u4e3a\u5206\u6570\u51fd\u6570\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u6709\u7406\u51fd\u6570\u4e0d\u5e94\u4e0e\u65e0\u7406\u51fd\u6570\u6df7\u6dc6\u3002\u65e0\u7406\uff08\u6216\u6fc0\u8fdb\uff09\u51fd\u6570\u662f\u7531\u6839\u7ec4\u6210\u7684\u51fd\u6570\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-funciones-racionales\"><\/span>\u6709\u7406\u51fd\u6570\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u6709\u7406\u51fd\u6570\u7684\u6982\u5ff5\uff0c\u6211\u4eec\u5c06\u770b\u5230\u6b64\u7c7b\u51fd\u6570\u7684\u51e0\u4e2a\u793a\u4f8b\u3002<\/p>\n<ul>\n<li><u style=\"text-decoration-color:#FF9B28;\">\u5206\u5b50\u548c\u5206\u6bcd\u4e3a\u4e00\u6b21\u591a\u9879\u5f0f\u7684\u6709\u7406\u51fd\u6570\uff1a<\/u><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b170c6c49759eeb2d1d3f81bbf0ebfc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x+3}{2x-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u8fd9\u4e9b\u7c7b\u578b\u7684\u6709\u7406\u51fd\u6570\u4e5f\u79f0\u4e3a<strong>\u5355\u5e94\u51fd\u6570<\/strong>\u3002<\/p>\n<ul>\n<li><u style=\"text-decoration-color:#FF9B28;\">\u5206\u5b50\u4e3a\u5e38\u6570\u3001\u5206\u6bcd\u4e3a\u591a\u9879\u5f0f\u7684\u6709\u7406\u51fd\u6570\uff1a<\/u><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-931f934a646a46832b66a8a3efe3ad17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{7}{x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"101\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u8fd9\u4e9b\u7c7b\u578b\u7684\u6709\u7406\u51fd\u6570\u79f0\u4e3a<strong>\u53cd\u6bd4\u4f8b\u51fd\u6570<\/strong>\uff0c\u7528\u4e8e\u5728\u6570\u5b66\u4e0a\u5b9a\u4e49\u53cd\u6bd4\u4f8b\u91cf\u3002<\/p>\n<ul>\n<li><u style=\"text-decoration-color:#FF9B28;\">\u5206\u5b50\u4e3a\u4e09\u6b21\u591a\u9879\u5f0f\u3001\u5206\u6bcd\u4e3a\u4e8c\u6b21\u591a\u9879\u5f0f\u7684\u6709\u7406\u51fd\u6570\uff1a<\/u> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82bb59d3904629b47192dfd05456a638_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^3+4x^2-2x+6}{x^2+3x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"198\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"dominio-de-una-funcion-racional\"><\/span>\u6709\u7406\u51fd\u6570\u7684\u57df<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px; margin-bottom:30px\">\n<p>\u4e00\u4e2a\u6570\u9664\u4ee5 0 \u662f\u4e00\u4e2a\u4e0d\u786e\u5b9a\u6027\uff0c\u5b83\u7ed9\u51fa\u65e0\u7a77\u5927 (\u221e)\uff0c\u56e0\u6b64\u9664\u975e\u5206\u6bcd\u4e3a 0\uff0c\u5426\u5219\u6709\u7406\u51fd\u6570\u5c06\u59cb\u7ec8\u5b58\u5728\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u6709\u7406\u51fd\u6570\u7684\u57df<\/strong>\u7531\u9664\u5206\u6bcd\u76f8\u6d88\u7684\u503c\u4e4b\u5916\u7684\u6240\u6709\u5b9e\u6570\u7ec4\u6210\u3002<\/p>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u8981\u83b7\u5f97\u6709\u7406\u51fd\u6570\u7684\u5b9a\u4e49\u57df\uff0c\u6211\u4eec\u9700\u8981\u627e\u5230\u5206\u6bcd\u4f55\u65f6\u4e3a 0\uff0c\u56e0\u4e3a\u8fd9\u4e00\u70b9\u5c06\u662f\u552f\u4e00\u4e0d\u5c5e\u4e8e\u8be5\u5b9a\u4e49\u57df\u7684\u70b9<\/p>\n<p>\u8ba9\u6211\u4eec\u901a\u8fc7\u6c42\u89e3\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u8ba1\u7b97\u6709\u7406\u51fd\u6570\u7684\u57df\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dc119bb22722de1d946894030ac0e6e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{5x}{x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"101\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9996\u5148\u5c06\u5206\u6bcd\u8bbe\u7f6e\u4e3a 0\uff0c\u7136\u540e\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24e301fa7ea2e8d9f0041192d9a84927_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"73\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01f282abd343bbe6b83c45e54b86c6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5f53x\u4e3a-2\u65f6\uff0c\u5206\u6bcd\u5c06\u4e3a0\uff0c\u56e0\u6b64\u8be5\u51fd\u6570\u5c06\u4e0d\u5b58\u5728\u3002\u56e0\u6b64\uff0c\u51fd\u6570\u7684\u57df\u7531\u9664 x=-2 \u4e4b\u5916\u7684\u6240\u6709\u5b9e\u6570\u7ec4\u6210\u3002\u58f0\u660e\u5982\u4e0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c69046d9ec5ea032ce1e6f7f070dbf83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f= \\mathbb{R}-\\{ -2 \\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"asintotas-de-una-funcion-racional\"><\/span>\u6709\u7406\u51fd\u6570\u7684\u6e10\u8fd1\u7ebf<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u7406\u51fd\u6570\u7684\u4e3b\u8981\u5c5e\u6027\u4e4b\u4e00\u662f\u5b83\u4eec\u7684\u6e10\u8fd1\u7ebf\uff0c\u56e0\u4e3a\u5b83\u4eec\u51b3\u5b9a\u4e86\u5b83\u4eec\u7684\u56fe\u5f62\u8868\u793a\u3002<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u89c1\uff1a<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u51fd\u6570\u7684\u8868\u793a\/\">\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a<\/a><\/span><\/p>\n<p><strong>\u6709\u7406\u51fd\u6570\u7684\u6e10\u8fd1\u7ebf<\/strong>\u662f\u51fd\u6570\u56fe\u5f62\u65e0\u9650\u63a5\u8fd1\u4f46\u4ece\u672a\u63a5\u89e6\u7684\u7ebf\u3002<\/p>\n<p>\u6e10\u8fd1\u7ebf\u6709\u4e09\u79cd\u7c7b\u578b\uff1a\u5782\u76f4\u6e10\u8fd1\u7ebf\u3001\u6c34\u5e73\u6e10\u8fd1\u7ebf\u548c\u503e\u659c\u6e10\u8fd1\u7ebf\u3002<\/p>\n<p>\u4e0b\u9762\u662f\u6709\u7406\u51fd\u6570\u53ef\u4ee5\u7528\u7ea2\u8272\u7ed8\u5236\u7684\u4e09\u79cd\u7c7b\u578b\u7684\u6e10\u8fd1\u7ebf\u3002<\/p>\n<p class=\"has-text-align-center\"><u style=\"text-decoration-color:#E74C3C;\"><strong>\u6709\u7406\u51fd\u6570\u7684\u5782\u76f4\u6e10\u8fd1\u7ebf<\/strong><\/u><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dasymptote-verticale.webp\" alt=\"\u6709\u7406\u51fd\u6570\u7684\u5782\u76f4\u6e10\u8fd1\u7ebf\" class=\"wp-image-1294\" width=\"408\" height=\"361\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\"><u style=\"text-decoration-color:#E74C3C;\"><strong>\u6709\u7406\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf<\/strong><\/u><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dasymptote-horizontale.webp\" alt=\"\u6709\u7406\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\" class=\"wp-image-1333\" width=\"478\" height=\"378\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\"><u style=\"text-decoration-color:#E74C3C;\"><strong>\u6709\u7406\u51fd\u6570\u7684\u659c\u6e10\u8fd1\u7ebf<\/strong><\/u><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/image-1.png\" alt=\"\u6709\u7406\u51fd\u6570\u7684\u659c\u6e10\u8fd1\u7ebf\" class=\"wp-image-1374\" width=\"386\" height=\"436\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u4ece\u51fd\u6570\u7684\u56fe\u5f62\u786e\u5b9a\u51fd\u6570\u7684\u6e10\u8fd1\u7ebf\u975e\u5e38\u7b80\u5355\uff0c\u4f46\u662f\u5728\u6ca1\u6709\u56fe\u5f62\u8868\u793a\u7684\u60c5\u51b5\u4e0b\u8ba1\u7b97\u6709\u7406\u51fd\u6570\u7684\u6e10\u8fd1\u7ebf\u5219\u76f8\u5f53\u590d\u6742\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u5efa\u8bae\u60a8\u5728\u6211\u4eec\u7684\u7f51\u7ad9\u4e0a\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u51fd\u6570\u7684\u6e10\u8fd1\u7ebf\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-una-funcion-racional\"><\/span>\u6709\u7406\u51fd\u6570\u7684\u7279\u5f81<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u7406\u51fd\u6570\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c24e4e9a6871d3e8e07e85c24b039c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{P(x)}{Q(x)}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"98\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u6b63\u5982\u6211\u4eec\u5728\u4e0a\u9762\u770b\u5230\u7684\uff0c\u6709\u7406\u51fd\u6570\u7684\u57df\u5305\u62ec\u9664\u6d88\u9664\u5206\u6570\u5206\u6bcd\u7684\u503c\u4e4b\u5916\u7684\u6240\u6709\u5b9e\u6570\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u4e00\u822c\u6765\u8bf4\uff0c\u6709\u7406\u51fd\u6570\u7684\u503c\u57df\uff08\u6216\u8303\u56f4\uff09\u5305\u62ec\u9664\u51fd\u6570\u5177\u6709\u6c34\u5e73\u6e10\u8fd1\u7ebf\u7684\u503c\u4e4b\u5916\u7684\u6240\u6709\u5b9e\u6570\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u6709\u7406\u51fd\u6570\u5728\u5176\u6574\u4e2a\u57df\u5185\u662f\u8fde\u7eed\u7684\u3002\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u6709\u7406\u51fd\u6570\u5728\u4e0d\u5c5e\u4e8e\u5176\u5b9a\u4e49\u57df\u7684\u70b9\u5904\u8868\u73b0\u51fa\u4e0d\u8fde\u7eed\u6027\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u5927\u591a\u6570\u6709\u7406\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a\u7531\u4e24\u6761\u53cc\u66f2\u7ebf\u7ec4\u6210\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li><span style=\"color:#101010;font-weight: normal;\">\u6709\u7406\u51fd\u6570\u6e10\u8fd1\u7ebf\u7684\u4e00\u4e9b\u89c4\u5219\u53ef\u4ee5\u4ece\u591a\u9879\u5f0f\u5206\u5b50\u63a8\u5bfc\u51fa\u6765\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u548c\u5206\u6bcd\u591a\u9879\u5f0f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d38083076c97f0893079e8fed89adb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"><\/p>\n<ul style=\"list-style-type:circle;margin-left:10%;color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px; margin-top:15px\"><span style=\"color:#101010;font-weight: normal;\">\u6709\u7406\u51fd\u6570\u5728\u4f5c\u4e3a\u6839\u7684\u70b9\u5904\u6709\u4e00\u6761\u5782\u76f4\u6e10\u8fd1\u7ebf\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u4f46\u8fd9\u4e9b\u4e0d\u662f\u6839\u6e90<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f6500c41747705211eacbfc8d05aba4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:15px; margin-top:15px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u7a0b\u5ea6\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u7684\u7a0b\u5ea6\u5c0f\u4e8e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p>\uff0c\u7ebf y=0 \u662f\u6709\u7406\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/li>\n<li style=\"margin-bottom:15px; margin-top:15px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u7a0b\u5ea6\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u5927\u4e8e\u7684\u7a0b\u5ea6<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p>\uff0c\u6709\u7406\u51fd\u6570\u6ca1\u6709\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u7a0b\u5ea6\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80be6e42ac3b3c6528958bbfa21f92c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\u662f\u4e00\u4e2a\u5927\u4e8e\u5ea6\u6570\u7684\u5355\u4f4d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8061e215a5d055a2cf14c44c4febfad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5e76\u4e14\u4e24\u4e2a\u591a\u9879\u5f0f\u6ca1\u6709\u5171\u540c\u6839\uff0c\u6709\u7406\u51fd\u6570\u6709\u659c\u6e10\u8fd1\u7ebf\u3002 <\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-racionales\"><\/span>\u89e3\u7b54\u4e86\u6709\u7406\u51fd\u6570\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u6709\u7406\u51fd\u6570\u7684\u57df\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94fcabf09d798d56e4d439c3dc4945b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\displaystyle\\frac{4x}{2x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5b83\u662f\u4e00\u4e2a\u6709\u7406\u51fd\u6570\uff0c\u56e0\u6b64\u5b9a\u4e49\u57df\u7531\u9664\u5206\u6bcd\u76f8\u6d88\u7684\u6570\u5b57\u4e4b\u5916\u7684\u6240\u6709\u6570\u5b57\u7ec4\u6210\uff0c\u56e0\u4e3a\u8fd9\u6837\u8be5\u51fd\u6570\u5c06\u7ed9\u51fa \u221e\u3002<\/p>\n<p class=\"has-text-align-left\">\u6240\u4ee5\u6211\u4eec\u5c06\u6574\u6570\u5206\u6bcd\u8bbe\u7f6e\u4e3a\u96f6\uff0c\u770b\u770b\u54ea\u4e2a\u6570\u5b57\u4e0d\u5c5e\u4e8e\u8be5\u57df\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-198bb8c11e20e5c9864ef9e60a2facc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"82\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8bb8c1283df065c83c44b7fe484324a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"66\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-578104a63c70bc5ba4b685855966f28e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-4}{2}=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"112\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u4ec5\u7531\u9664 -2 \u4e4b\u5916\u7684\u6570\u5b57\u7ec4\u6210\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee75b8bb1136ab715a80e56e910f1626_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbf{Dom } \\ \\bm{f = \\mathbb{R}- \\{ -2 \\} }\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"157\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u627e\u5230\u4ee5\u4e0b\u6709\u7406\u51fd\u6570\u4e0e\u7b1b\u5361\u5c14\u8f74\u7684\u622a\u6b62\u70b9\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ef48653e91a2935a9776b62ddd1f25b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x^2-9}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"109\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong>X\u8f74\u5207\u524a\u70b9<\/strong><\/p>\n<p class=\"has-text-align-left\">\u4e3a\u4e86\u627e\u5230\u51fd\u6570\u4e0e X \u8f74\u7684\u4ea4\u70b9\uff0c\u9700\u8981\u6c42\u89e3<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-05bb421b504b7ae4aa483574cd6f28d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0bce6c022ed0fc63f4659af75888f96c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-603043b6d5768eaace4011208f30bec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x^2-9}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"81\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0b2fd4733c1dfbb47969d5b92e3e4f04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9=0\\cdot x\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"104\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce55adbc277e9378607d68bce8ef19fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"81\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-05112cb5a98f653cd1920fb40e5ef9a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9cba0400a71268c96427f3b00bf29b6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=\\pm 3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"64\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u5f97\u5230\u4e86\u4e8c\u6b21\u65b9\u7a0b\u7684\u4e24\u4e2a\u89e3\uff0c\u56e0\u6b64\u6709\u7406\u51fd\u6570\u4e0e\u6a2a\u5750\u6807\u8f74\u76f8\u4ea4\u4e8e\u4e24\u4e2a\u4e0d\u540c\u7684\u70b9\uff0c\u5373\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-013260528208aa1656c5407fa8e29db9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(3,0)\\qquad (-3,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>Y\u8f74\u5207\u524a\u70b9<\/strong><\/p>\n<p class=\"has-text-align-left\">\u8981\u627e\u5230\u4e0e Y \u8f74\u7684\u4ea4\u70b9\uff0c\u60a8\u5fc5\u987b\u8ba1\u7b97<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f92d7beea0ed3a053927c2d429d3450_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-969a7e35c182b2950e797fec58ddab28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0)=\\cfrac{0^2-9}{0}=\\cfrac{-9}{0}= \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"203\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4efb\u4f55\u6570\u5b57\u9664\u4ee5\u96f6\u90fd\u662f\u4e0d\u786e\u5b9a\u7684\uff0c\u4f1a\u5f97\u5230\u65e0\u7a77\u5927\u3002\u56e0\u6b64\uff0c\u6709\u7406\u51fd\u6570\u4e0d\u4f1a\u7ecf\u8fc7Y\u8f74\u4e0a\u65b9\u7684\u4efb\u4f55\u70b9\uff0c\u5373\u4e0ey\u8f74\u6ca1\u6709\u4ea4\u70b9\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u5728\u56fe\u4e0a\u7ed8\u5236\u4ee5\u4e0b\u6709\u7406\u51fd\u6570\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-379664d569f63739a52aef2f4a3da41b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{2x+3}{2x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"85\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9996\u5148\u8981\u505a\u7684\u662f\u8ba1\u7b97\u51fd\u6570\u7684\u57df\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb310e295335d320e66cac6a8a6a3270_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"82\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b254eeeabf14c903b414b7f844bcd54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x =-6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"66\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be0dac801e36b79ec2bac9a5be70ad7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x =\\cfrac{-6}{2} =-3\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"113\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3eb9671adf4127bd8129820378cb2a44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\{ -3 \\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u51fd\u6570\u7684\u57df\uff0c\u6211\u4eec\u5c31\u6784\u5efa\u4e00\u4e2a\u503c\u8868\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5dfd65f4a7fca984bdc6f16ec89154c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; y \\\\ \\hline -2,5 &amp; -2 \\\\ -2 &amp; -0,5 \\\\ -1 &amp; 0,25 \\\\ 1 &amp; 0,63 \\\\ -3,5 &amp; 4  \\\\ -4 &amp; 2,5 \\\\ -5 &amp; 1,75 \\\\ -7 &amp; 1,38\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"200\" width=\"112\" style=\"vertical-align: -95px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u53ea\u9700\u5728\u56fe\u8868\u4e0a\u8868\u793a\u83b7\u5f97\u7684\u70b9\u5e76\u7ed8\u5236\u53cc\u66f2\u7ebf\uff0c\u4ece\u800c\u7ed8\u5236\u6709\u7406\u51fd\u6570\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-de-proportionnalite-inverse.webp\" alt=\"\u53cd\u6bd4\u4f8b\u51fd\u6570\" class=\"wp-image-170\" width=\"545\" height=\"460\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u786e\u5b9a\u4e0b\u56fe\u6709\u7406\u51fd\u6570\u7684\u6e10\u8fd1\u7ebf\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-representation-limites-infini.webp\" alt=\"\u6709\u7406\u51fd\u6570\u7684\u6e10\u8fd1\u7ebf\" class=\"wp-image-1244\" width=\"403\" height=\"406\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6e10\u8fd1\u7ebf\u5728\u56fe\u8868\u4e0a\u975e\u5e38\u6e05\u6670\u53ef\u89c1\uff0c\u56e0\u4e3a\u5b83\u4eec\u8868\u793a\u4e3a\u7ea2\u8272\u865a\u7ebf\u3002<\/p>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u4e2a\u95ee\u9898\u4e2d\uff0c\u51fd\u6570\u975e\u5e38\u63a5\u8fd1\u6c34\u5e73\u7ebf y=1\uff0c\u4f46\u4ece\u672a\u89e6\u53ca\u5b83\u3002\u56e0\u6b64\uff0c\u6709\u7406\u51fd\u6570\u6709\u4e00\u4e2a\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u5373 y=1\u3002<\/p>\n<p class=\"has-text-align-left\">\u540c\u6837\uff0c\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a\u975e\u5e38\u63a5\u8fd1\u5782\u76f4\u7ebf x=-1 \u548c x=1\uff0c\u4f46\u4ece\u672a\u8fbe\u5230\u8fd9\u4e9b\u503c\u3002\u56e0\u6b64\uff0c\u6709\u7406\u51fd\u6570\u6709\u4e24\u4e2a\u4e0d\u540c\u7684\u5782\u76f4\u6e10\u8fd1\u7ebf\uff0c\u5373 x=-1 \u548c x=1\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e605<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u6709\u7406\u51fd\u6570\u7684\u6240\u6709\u6e10\u8fd1\u7ebf\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ffd06824234d445d38d021cbb04bfa23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\frac{6x-4}{2x+2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p><strong>\u6ce8\u610f\uff1a<\/strong>\u8981\u89e3\u51b3\u6b64\u7ec3\u4e60\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u9996\u5148\u8bbf\u95ee\u4e0a\u9762\u6709\u5173<u style=\"text-decoration-color:#FF9B28;\">\u5982\u4f55\u8ba1\u7b97\u51fd\u6570\u6e10\u8fd1\u7ebf\u7684<\/u>\u94fe\u63a5\u5e76\u67e5\u770b\u8bf4\u660e\u3002 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"><strong><span style=\"text-decoration: underline;\">\u5782\u76f4\u6e10\u8fd1\u7ebf<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\">\u8981\u8ba1\u7b97\u51fd\u6570\u7684\u5782\u76f4\u6e10\u8fd1\u7ebf\uff0c\u6211\u4eec\u5fc5\u987b\u9996\u5148\u627e\u5230\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u6709\u7406\u51fd\u6570\u7684\u5206\u6bcd\u8bbe\u7f6e\u4e3a0\u6765\u67e5\u627e\u4e0d\u5c5e\u4e8e\u57df\u7684\u70b9\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba1a17401e951a8539e475d758a871d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x +2 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"82\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b2a522ee7d1c1819c496c45af9549bc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x= -2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"65\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e60b04854152fc93f76ad6c29e09346_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-2}{2} = -1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"112\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u51fd\u6570\u7684\u57df\u7531\u9664 -1 \u4e4b\u5916\u7684\u6240\u6709\u6570\u5b57\u7ec4\u6210\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f86d513e25805efa3dbddfc2e0229e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R} - \\left\\{ -1 \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6240\u4ee5 x=-1 \u53ef\u80fd\u662f\u5782\u76f4\u6e10\u8fd1\u7ebf\u3002\u4e3a\u4e86\u68c0\u67e5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u5fc5\u987b\u8ba1\u7b97\u51fd\u6570\u5728\u8be5\u70b9\u7684\u6781\u9650\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19ee5b45a22b402ee890392a91803649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -1 } \\frac{6x-4}{2x+2} = \\frac{6\\cdot(-1)-4}{2\\cdot(-1)+2}=\\frac{-10}{0}= \\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"311\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0cx=-1 \u662f\u6709\u7406\u51fd\u6570\u7684\u5782\u76f4\u6e10\u8fd1\u7ebf\uff0c\u56e0\u4e3a\u6b64\u65f6\u51fd\u6570\u7684\u6781\u9650\u7ed9\u51fa\u65e0\u7a77\u5927\u3002<\/p>\n<p class=\"has-text-align-left\"><strong><span style=\"text-decoration: underline;\">\u6c34\u5e73\u6e10\u8fd1\u7ebf<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\">\u4e3a\u4e86\u786e\u5b9a\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u51fd\u6570\u7684\u65e0\u9650\u6781\u9650\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-604ce9e6e3a0943003f79d5f890b81d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{6x-4}{2x+2} = \\frac{6(+\\infty)}{2(+\\infty)} = \\frac{+\\infty}{+\\infty} = \\frac{6}{2} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"312\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-823441caef29e22ea5cda9685af7c1bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty}\\frac{6x-4}{2x+2} = \\frac{6(-\\infty)}{2(-\\infty)} = \\frac{-\\infty}{-\\infty} = \\frac{6}{2} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"312\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u65e0\u7a77\u5927\u4e4b\u95f4\u7684\u4e0d\u786e\u5b9a\u65e0\u9650\u6781\u9650\u7684\u7ed3\u679c\u662f\u6700\u9ad8\u6b21 x \u7684\u7cfb\u6570\u7684\u9664\u6cd5\uff0c\u56e0\u4e3a\u5206\u5b50\u548c\u5206\u6bcd\u5177\u6709\u76f8\u540c\u7684\u9636\u6570\u3002<\/p>\n<p class=\"has-text-align-left\">\u8be5\u51fd\u6570\u7684\u4e24\u4e2a\u65e0\u9650\u6781\u9650\u7ed9\u4e86\u6211\u4eec 3\uff0c\u56e0\u6b64 y=3 \u662f\u6709\u7406\u51fd\u6570\u7684\u6c34\u5e73\u6e10\u8fd1\u7ebf\u3002<\/p>\n<p class=\"has-text-align-left\"><strong><span style=\"text-decoration: underline;\">\u659c\u6e10\u8fd1\u7ebf<\/span><\/strong><\/p>\n<p class=\"has-text-align-left\">\u7531\u4e8e\u6709\u6c34\u5e73\u6e10\u8fd1\u7ebf\uff0c\u6709\u7406\u51fd\u6570\u6ca1\u6709\u659c\u6e10\u8fd1\u7ebf\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u8fd9\u91cc\u60a8\u5c06\u53d1\u73b0\u4ec0\u4e48\u662f\u6709\u7406\u51fd\u6570\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u89e3\u91ca\u4e86\u5982\u4f55\u8ba1\u7b97\u6709\u7406\u51fd\u6570\u7684\u57df\u548c\u6e10\u8fd1\u7ebf\u3002\u4e0d\u4ec5\u5982\u6b64\uff0c\u60a8\u8fd8\u4f1a\u770b\u5230\u6709\u7406\u51fd\u6570\u7684\u6240 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u6709\u7406\u51fd\u6570<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-25","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u6709\u7406\u51fd\u6570\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b9a\u4e49\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u3001\u7ec3\u4e60\u2026\u2026<\/title>\n<meta name=\"description\" content=\"\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u6709\u7406\u51fd\u6570\u53ca\u5176\u6240\u6709\u7279\u5f81\uff08\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u7b49\uff09\u3002\u89e3\u51b3\u4e86\u6709\u7406\u51fd\u6570\u7684\u7ec3\u4e60\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u6709\u7406\u51fd\u6570\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u6709\u7406\u51fd\u6570\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b9a\u4e49\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u3001\u7ec3\u4e60\u2026\u2026\" \/>\n<meta property=\"og:description\" content=\"\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u6709\u7406\u51fd\u6570\u53ca\u5176\u6240\u6709\u7279\u5f81\uff08\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u7b49\uff09\u3002\u89e3\u51b3\u4e86\u6709\u7406\u51fd\u6570\u7684\u7ec3\u4e60\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/cn\/\u6709\u7406\u51fd\u6570\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T11:05:21+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80ec33ef964f9463287fb8c93605b34_l3.png\" \/>\n<meta name=\"author\" content=\"Mathority\u56e2\u961f\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority\u56e2\u961f\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/\"},\"author\":{\"name\":\"Mathority\u56e2\u961f\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\"},\"headline\":\"\u6709\u7406\u51fd\u6570\",\"datePublished\":\"2023-09-17T11:05:21+00:00\",\"dateModified\":\"2023-09-17T11:05:21+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/\"},\"wordCount\":27,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"articleSection\":[\"\u51fd\u6570\u8868\u793a\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/\",\"url\":\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/\",\"name\":\"\u6709\u7406\u51fd\u6570\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b9a\u4e49\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u3001\u7ec3\u4e60\u2026\u2026\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/#website\"},\"datePublished\":\"2023-09-17T11:05:21+00:00\",\"dateModified\":\"2023-09-17T11:05:21+00:00\",\"description\":\"\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u6709\u7406\u51fd\u6570\u53ca\u5176\u6240\u6709\u7279\u5f81\uff08\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u7b49\uff09\u3002\u89e3\u51b3\u4e86\u6709\u7406\u51fd\u6570\u7684\u7ec3\u4e60\u3002\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u6709\u7406\u51fd\u6570\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/cn\/#website\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"name\":\"Mathority\",\"description\":\"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/cn\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\",\"name\":\"Mathority\u56e2\u961f\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"Mathority\u56e2\u961f\"},\"sameAs\":[\"http:\/\/mathority.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u6709\u7406\u51fd\u6570\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b9a\u4e49\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u3001\u7ec3\u4e60\u2026\u2026","description":"\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u6709\u7406\u51fd\u6570\u53ca\u5176\u6240\u6709\u7279\u5f81\uff08\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u7b49\uff09\u3002\u89e3\u51b3\u4e86\u6709\u7406\u51fd\u6570\u7684\u7ec3\u4e60\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/cn\/\u6709\u7406\u51fd\u6570\/","og_locale":"zh_CN","og_type":"article","og_title":"\u6709\u7406\u51fd\u6570\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b9a\u4e49\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u3001\u7ec3\u4e60\u2026\u2026","og_description":"\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u6709\u7406\u51fd\u6570\u53ca\u5176\u6240\u6709\u7279\u5f81\uff08\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u7b49\uff09\u3002\u89e3\u51b3\u4e86\u6709\u7406\u51fd\u6570\u7684\u7ec3\u4e60\u3002","og_url":"https:\/\/mathority.org\/cn\/\u6709\u7406\u51fd\u6570\/","article_published_time":"2023-09-17T11:05:21+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80ec33ef964f9463287fb8c93605b34_l3.png"}],"author":"Mathority\u56e2\u961f","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Mathority\u56e2\u961f"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/"},"author":{"name":"Mathority\u56e2\u961f","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071"},"headline":"\u6709\u7406\u51fd\u6570","datePublished":"2023-09-17T11:05:21+00:00","dateModified":"2023-09-17T11:05:21+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/"},"wordCount":27,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"articleSection":["\u51fd\u6570\u8868\u793a"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/","url":"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/","name":"\u6709\u7406\u51fd\u6570\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b9a\u4e49\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u3001\u7ec3\u4e60\u2026\u2026","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/#website"},"datePublished":"2023-09-17T11:05:21+00:00","dateModified":"2023-09-17T11:05:21+00:00","description":"\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u6709\u7406\u51fd\u6570\u53ca\u5176\u6240\u6709\u7279\u5f81\uff08\u57df\u3001\u6e10\u8fd1\u7ebf\u3001\u56fe\u7b49\uff09\u3002\u89e3\u51b3\u4e86\u6709\u7406\u51fd\u6570\u7684\u7ec3\u4e60\u3002","breadcrumb":{"@id":"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/cn\/%e6%9c%89%e7%90%86%e5%87%bd%e6%95%b0\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u6709\u7406\u51fd\u6570"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/cn\/#website","url":"https:\/\/mathority.org\/cn\/","name":"Mathority","description":"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01","publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/mathority.org\/cn\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/cn\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071","name":"Mathority\u56e2\u961f","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"Mathority\u56e2\u961f"},"sameAs":["http:\/\/mathority.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/25","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/comments?post=25"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/25\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/media?parent=25"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/categories?post=25"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/tags?post=25"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}