{"id":363,"date":"2023-07-04T07:39:56","date_gmt":"2023-07-04T07:39:56","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%81%92%e7%ad%89%e5%87%bd%e6%95%b0\/"},"modified":"2023-07-04T07:39:56","modified_gmt":"2023-07-04T07:39:56","slug":"%e6%81%92%e7%ad%89%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%81%92%e7%ad%89%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u6052\u7b49\u51fd\u6570"},"content":{"rendered":"<p>\u5728\u8fd9\u91cc\u4f60\u4f1a\u53d1\u73b0\u6052\u7b49\u51fd\u6570\u662f\u4ec0\u4e48\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u4e86\u89e3\u5982\u4f55\u4ee5\u56fe\u5f62\u65b9\u5f0f\u8868\u793a\u6052\u7b49\u51fd\u6570\u53ca\u5176\u7279\u5f81\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-identidad\"><\/span>\u4ec0\u4e48\u662f\u6052\u7b49\u51fd\u6570\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6052\u7b49\u51fd\u6570\u662f\u6307\u4e0e\u53c2\u6570\u5177\u6709\u76f8\u540c\u503c\u7684\u51fd\u6570\u3002<\/strong>\u6052\u7b49\u51fd\u6570\u53ef\u4ee5\u7528\u672f\u8bed<em><strong>id<\/strong><\/em>\u6765\u8868\u793a\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6052\u7b49\u51fd\u6570\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\u4e3a\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-983fed5b7a164bfcb0d3e0b5cebfd4c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"68\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0cx=1 \u7684\u6052\u7b49\u51fd\u6570\u56fe\u50cf\u503c\u4e3a 1\uff0cx=2 \u7684\u56fe\u50cf\u503c\u4e3a 2\uff0cx=3 \u7684\u56fe\u50cf\u503c\u4e3a 3\uff0c\u2026<\/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-4b85e48e3f36d1eb4271b265aaf35bef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(1)=1\\\\[2ex]f(2)=2\\\\[2ex]f(3)=3\\\\ \\bm{\\vdots}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"120\" width=\"66\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6052\u7b49\u51fd\u6570\u662f\u7ebf\u6027\u51fd\u6570\u7684\u4e00\u4e2a\u793a\u4f8b\u3002\u5728\u4ee5\u4e0b\u94fe\u63a5\u4e2d\uff0c\u60a8\u53ef\u4ee5\u770b\u5230\u6b64\u7c7b\u51fd\u6570\u7684\u66f4\u591a\u793a\u4f8b\uff1a<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u7ebf\u6027\u548c\u4eff\u5c04\u51fd\u6570\/\">\u7ebf\u6027\u51fd\u6570\u7684\u793a\u4f8b<\/a><\/span><\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-la-funcion-identidad\"><\/span>\u6052\u7b49\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6052\u7b49\u51fd\u6570\u7684\u56fe\u5f62\u5bf9\u5e94\u4e8e\u7b2c\u4e00\u8c61\u9650\u548c\u7b2c\u4e09\u8c61\u9650\u7684\u5e73\u5206\u7ebf\u3002 <\/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-didentite.webp\" alt=\"\u6052\u7b49\u51fd\u6570\" class=\"wp-image-616\" width=\"404\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u6052\u7b49\u51fd\u6570\u7a7f\u8fc7\u5750\u6807\u539f\u70b9\uff08\u70b9 (0,0)\uff09\uff0c\u5e76\u4e14\u659c\u7387\u7b49\u4e8e 1 (m=1)\uff0c\u56e0\u4e3a\u53d8\u91cf\u7684\u4e00\u4e2a\u5355\u4f4d\u4f1a\u589e\u52a0\uff0c\u5e76\u4e14\u5bf9\u4e8e\u72ec\u7acb\u51fd\u6570\u7684\u6bcf\u4e2a\u503c\u53d8\u91cf X\u3002\u6b64\u5916\uff0c\u6052\u7b49\u51fd\u6570\u4e0e X \u8f74\u5f62\u6210 45\u00b0 \u89d2\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-funcion-identidad\"><\/span>\u6052\u7b49\u51fd\u6570\u7684\u7279\u70b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6052\u7b49\u51fd\u6570\u5177\u6709\u4ee5\u4e0b\u6027\u8d28\uff1a<\/p>\n<ul>\n<li>\u6052\u7b49\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u90fd\u662f\u5b9e\u6570\uff1a<\/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-f6a5bb1d7547a2d733c138cfc33c6f3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f=\\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6052\u7b49\u51fd\u6570\u7684\u503c\u57df\uff08\u6216\u8303\u56f4\uff09\u4e5f\u7531\u6240\u6709\u5b9e\u6570\u7ec4\u6210\uff1a<\/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-a3ecde093819f7093a822146403ef191_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f=\\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6052\u7b49\u51fd\u6570\u662f\u8fde\u7eed\u7684\u53cc\u5c04\u51fd\u6570\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u6b64\u5916\uff0c\u6052\u7b49\u51fd\u6570\u7531\u5947\u51fd\u6570\u7ec4\u6210\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u662f\u5173\u4e8e\u5750\u6807\u539f\u70b9\u7684\u5bf9\u79f0\u51fd\u6570\u3002<\/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-c5db584bb9d529c83c3c80bb43b4c96c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u5bf9\u79f0\u51fd\u6570\u548c\u975e\u5bf9\u79f0\u51fd\u6570\u7684\u5bf9\u79f0\u6027\/\">\u5947\u5bf9\u79f0\u51fd\u6570<\/a><\/span><\/p>\n<ul>\n<li>\u6052\u7b49\u51fd\u6570\u5728\u5176\u6574\u4e2a\u57df\u5185\u9012\u589e\uff0c\u5176\u659c\u7387\u7b49\u4e8e 1\u3002<\/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-d94dded0dc9c883f82d566d62e2d4b42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> x \u8f74\uff08OX \u8f74\uff09\u548c y \u8f74\uff08Y \u8f74\uff09\u4ea4\u4e8e\u540c\u4e00\u70b9\uff1a\u5750\u6807\u539f\u70b9\u3002<\/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-9cf2000c782cfe94be6df5f499cd3e24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5b83\u53ef\u4ee5\u5f52\u7c7b\u4e3a\u4e00\u6b21\u591a\u9879\u5f0f\u51fd\u6570\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u6052\u7b49\u51fd\u6570\u5145\u5f53<span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u51fd\u6570\u7684\u590d\u5408-\u590d\u5408\u51fd\u6570\/\">\u51fd\u6570\u7ec4\u5408<\/a><\/span>\u7684\u4e2d\u6027\u5143\u7d20\u3002\u56e0\u6b64\uff0c\u4efb\u4f55\u7531\u6052\u7b49\u51fd\u6570\u7ec4\u6210\u7684\u51fd\u6570\u90fd\u4f1a\u4ea7\u751f\u51fd\u6570\u672c\u8eab\u3002<\/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-492b02c1d4c5597bb42d3378c7f2d4aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\\circ id =id \\circ f=f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"143\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4ef7\u503c\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6b64\u7c7b\u51fd\u6570\u7684\u552f\u4e00\u6839\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5f53 x \u8d8b\u4e8e\u6b63\u65e0\u7a77\u5927\u6216\u8d1f\u65e0\u7a77\u5927\u65f6\uff0c\u6052\u7b49\u51fd\u6570\u7684\u6781\u9650\u5206\u522b\u7ed9\u51fa\u6b63\u65e0\u7a77\u5927\u548c\u8d1f\u65e0\u7a77\u5927\uff1a<\/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-1459a4b1c6280a67227c0a432d4bd0ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty} f(x)=+\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"138\" style=\"vertical-align: -13px;\"><\/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-84deabbc661b9768d7dfe27dee84ca99_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -\\infty} f(x)=-\\infty\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"138\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u56e0\u6b64\u6052\u7b49\u51fd\u6570\u6ca1\u6709\u6e10\u8fd1\u7ebf\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u6052\u7b49\u51fd\u6570\u7684\u5bfc\u6570\u662f\u503c\u4e3a 1 \u7684\u5e38\u6570\u51fd\u6570\uff1a<\/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-a90dcf49bd1389d625f48fc4770eff1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x \\ \\longrightarrow \\ f'(x)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6052\u7b49\u51fd\u6570\u7684\u79ef\u5206\u662f\u4e8c\u6b21\u51fd\u6570\uff1a<\/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-60083c016c4d5015ce7dc59e2e864c3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int x \\ dx= \\frac{x^2}{2} + C\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"137\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u4e8c\u6b21\u629b\u7269\u7ebf\u51fd\u6570\/\">\u4e8c\u6b21\u51fd\u6570\u7684\u516c\u5f0f<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u8fd9\u91cc\u4f60\u4f1a\u53d1\u73b0\u6052\u7b49\u51fd\u6570\u662f\u4ec0\u4e48\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u4e86\u89e3\u5982\u4f55\u4ee5\u56fe\u5f62\u65b9\u5f0f\u8868\u793a\u6052\u7b49\u51fd\u6570\u53ca\u5176\u7279\u5f81\u3002 \u4ec0\u4e48\u662f\u6052\u7b49\u51fd\u6570\uff1f \u6052\u7b49\u51fd &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%81%92%e7%ad%89%e5%87%bd%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u6052\u7b49\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-363","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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