{"id":359,"date":"2023-07-04T10:44:29","date_gmt":"2023-07-04T10:44:29","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%af%b9%e7%a7%b0%e5%87%bd%e6%95%b0%e5%92%8c%e9%9d%9e%e5%af%b9%e7%a7%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%b9%e7%a7%b0%e6%80%a7\/"},"modified":"2023-07-04T10:44:29","modified_gmt":"2023-07-04T10:44:29","slug":"%e5%af%b9%e7%a7%b0%e5%87%bd%e6%95%b0%e5%92%8c%e9%9d%9e%e5%af%b9%e7%a7%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%b9%e7%a7%b0%e6%80%a7","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%af%b9%e7%a7%b0%e5%87%bd%e6%95%b0%e5%92%8c%e9%9d%9e%e5%af%b9%e7%a7%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%b9%e7%a7%b0%e6%80%a7\/","title":{"rendered":"\u51fd\u6570\u7684\u5bf9\u79f0\u6027\uff1a\u5bf9\u79f0\u51fd\u6570\u548c\u975e\u5bf9\u79f0\u51fd\u6570"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u5bf9\u79f0\u51fd\u6570\uff08\u5076\u51fd\u6570\u548c\u5947\u51fd\u6570\uff09\u4ee5\u53ca\u5982\u4f55\u7814\u7a76\u51fd\u6570\u7684\u5bf9\u79f0\u6027\u3002\u60a8\u8fd8\u5c06\u80fd\u591f\u770b\u5230\u8fd9\u4e9b\u7c7b\u578b\u51fd\u6570\u7684\u5c5e\u6027\uff0c\u6700\u540e\uff0c\u60a8\u5c06\u80fd\u591f\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3\u5bf9\u79f0\u51fd\u6570\u7684\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-simetrica\"><\/span>\u4ec0\u4e48\u662f\u5bf9\u79f0\u51fd\u6570\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5bf9\u79f0\u51fd\u6570\u662f\u53ef\u4ee5\u5728\u5176\u56fe\u5f62\u8868\u793a\u4e2d\u627e\u5230\u5bf9\u79f0\u8f74\u7684\u51fd\u6570\u3002<\/strong>\u5bf9\u79f0\u51fd\u6570\u6709\u4e24\u79cd\u7c7b\u578b\uff1a\u5076\u51fd\u6570\uff0c\u5173\u4e8e Y \u8f74\u5bf9\u79f0\uff1b\u5947\u51fd\u6570\uff0c\u5173\u4e8e\u5750\u6807\u539f\u70b9\u5bf9\u79f0\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u5bf9\u79f0\u8f74\u662f\u4e00\u6761\u5047\u60f3\u7ebf\uff0c\u5b83\u5c06\u4efb\u4f55\u4e1c\u897f\u5206\u6210\u4e24\u90e8\u5206\uff0c\u4ee5\u4fbf\u5b83\u4eec\u7684\u76f8\u5bf9\u70b9\u5f7c\u6b64\u7b49\u8ddd\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"funciones-pares\"><\/span>\u5076\u51fd\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5076\u51fd\u6570<\/strong>\u662f\u5173\u4e8e y \u8f74\u5bf9\u79f0\u7684\u51fd\u6570\uff0c\u5373 Y \u8f74\u662f\u51fd\u6570\u7684\u5bf9\u79f0\u8f74\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-paire-symetrique.webp\" alt=\"\u5076\u5bf9\u79f0\u51fd\u6570\" class=\"wp-image-497\" width=\"406\" height=\"333\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u5728\u4e0a\u9762\u6240\u793a\u7684\u4e8c\u6b21\u51fd\u6570\u4e2d\u6240\u770b\u5230\u7684\uff0c\u5076\u51fd\u6570\u5bf9\u4e8e\u81ea\u53d8\u91cf (x) \u7684\u4efb\u4f55\u503c\u7684\u56fe\u50cf\u90fd\u76f8\u5f53\u4e8e\u76f8\u53cd\u503c (-x) \u7684\u51fd\u6570\u7684\u56fe\u50cf\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4ece\u6570\u5b66\u4e0a\u6765\u8bf4\uff0c\u4e00\u4e2a\u51fd\u6570\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\u5c31\u662f\u5076\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-172e0423721041e36ff0b24faafbfd94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=f(-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5076\u51fd\u6570\u662f\u5bf9\u79f0\u51fd\u6570\u7684\u4e00\u79cd\uff0c\u73b0\u5728\u8ba9\u6211\u4eec\u770b\u770b\u5947\u51fd\u6570\u662f\u4ec0\u4e48\u6837\u7684\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"funciones-impares\"><\/span>\u5947\u51fd\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5947\u51fd\u6570<\/strong>\u662f\u76f8\u5bf9\u4e8e\u5750\u6807\u539f\u70b9\uff08\u5373\u76f8\u5bf9\u4e8e\u70b9 (0,0)\uff09\u5bf9\u79f0\u7684\u51fd\u6570\u3002<\/p>\n<p>\u4e0b\u9762\u4f60\u53ef\u4ee5\u770b\u5230\u4e00\u4e2a\u5947\u51fd\u6570\u7684\u56fe\u5f62\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-symetrique-impaire.webp\" alt=\"\u5947\u5bf9\u79f0\u51fd\u6570\" class=\"wp-image-501\" width=\"337\" height=\"283\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u51fd\u6570\u5173\u4e8e\u5750\u6807\u539f\u70b9\u5bf9\u79f0\u7684\u4e8b\u5b9e\u610f\u5473\u7740\uff0c\u5982\u679c\u6211\u4eec\u9996\u5148\u901a\u8fc7 OY \u8f74\u7136\u540e\u901a\u8fc7 OX \u8f74\u6298\u53e0\u51fd\u6570\u7684\u56fe\u5f62\uff0c\u5219\u51fd\u6570\u7684\u56fe\u5f62\u5c06\u91cd\u53e0\u3002<\/p>\n<p>\u4ece\u4ee3\u6570\u4e0a\u6765\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u51fd\u6570\u7684\u56fe\u50cf\u4e4b\u95f4\u6ee1\u8db3\u4ee5\u4e0b\u5173\u7cfb\uff0c\u5219\u8be5\u51fd\u6570\u662f\u5947\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-a0bd80551468e58d0a6cf4dd8ba928dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e86\u89e3\u51fd\u6570\u7684\u5bf9\u79f0\u6027\u5bf9\u4e8e\u8868\u793a\u5b83\u975e\u5e38\u6709\u7528\uff0c\u56e0\u4e3a\u53ea\u77e5\u9053\u56fe\u5f62\u7684\u4e00\u534a\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5feb\u901f\u7ed8\u5236\u53e6\u4e00\u90e8\u5206\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-encontrar-la-simetria-de-una-funcion\"><\/span>\u5982\u4f55\u6c42\u51fd\u6570\u7684\u5bf9\u79f0\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u7814\u7a76\u51fd\u6570\u7684\u5bf9\u79f0\u6027\uff0c\u6211\u4eec\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-6cacb15a7aa187378723791e7a017ae0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff0c\u4e5f\u5c31\u662f\u8bf4\u9700\u8981\u8ba1\u7b97<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd521f71755c9567516ac45b1eba345d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u56e0\u6b64\uff0c\u6839\u636e\u56fe\u50cf\u7684\u7ed3\u679c\uff0c\u51fd\u6570\u7684\u5bf9\u79f0\u6027\u5c06\u662f\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5df2\u6ee1\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-69fe4f45354bb04cba2f1a80e49b8ab3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\uff0c\u8be5\u51fd\u6570\u662f\u5076\u51fd\u6570\uff0c\u56e0\u6b64<strong>\u5173\u4e8e Y \u8f74\u5bf9\u79f0\u3002<\/strong><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5df2\u6ee1\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a0bd80551468e58d0a6cf4dd8ba928dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span>\uff0c\u8be5\u51fd\u6570\u662f\u5947\u6570\uff0c\u56e0\u6b64<strong>\u76f8\u5bf9\u4e8e\u5750\u6807\u539f\u70b9\u5bf9\u79f0\u3002<\/strong><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u4ee5\u4e0a\u6761\u4ef6\u90fd\u4e0d\u6ee1\u8db3\uff0c\u5219\u5b83\u662f\u975e<strong>\u5bf9\u79f0\u51fd\u6570<\/strong>\uff08\u6ca1\u6709\u5bf9\u79f0\u8f74\uff09\u3002<\/span><\/li>\n<\/ol>\n<p>\u4f8b\u5982\uff0c\u6211\u4eec\u6765\u5206\u6790\u4ee5\u4e0b\u4e09\u6b21\u51fd\u6570\u7684\u5bf9\u79f0\u6027\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-48fa60d3a7464594867a0a86e312957e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u7814\u7a76\u51fd\u6570\u7684\u5bf9\u79f0\u6027\uff0c\u6211\u4eec\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-b7553f1b0f7cfc52e705cd1f9908e848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" 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-366b0475a5979e0194fbfe634bf6de8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=(-x)^3=-x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"172\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u751f\u6210\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u4e0e\u539f\u59cb\u51fd\u6570\u8868\u8fbe\u5f0f\u7b49\u6548\uff0c\u4f46\u6539\u53d8\u4e86\u7b26\u53f7\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u6ee1\u8db3\u4ee5\u4e0b\u7b49\u5f0f\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-a0bd80551468e58d0a6cf4dd8ba928dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u662f\u5947\u51fd\u6570\uff0c\u56e0\u6b64\u76f8\u5bf9\u4e8e\u5750\u6807\u539f\u70b9 (0,0) \u5bf9\u79f0\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-funciones-simetricas\"><\/span>\u5bf9\u79f0\u51fd\u6570\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5bf9\u79f0\u51fd\u6570\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li>\u4e24\u4e2a\u5076\/\u5947\u51fd\u6570\u7684\u548c\u7b49\u4e8e\u53e6\u4e00\u4e2a\u5076\/\u5947\u51fd\u6570\u3002<\/li>\n<li>\u4e24\u4e2a\u5076\u51fd\u6570\u6216\u4e24\u4e2a\u5947\u51fd\u6570\u7684\u4e58\u79ef\u7ed9\u51fa\u4e00\u4e2a\u5076\u51fd\u6570\u3002<\/li>\n<li>\u5076\/\u5947\u51fd\u6570\u7684\u5bfc\u6570\u662f\u5076\/\u5947\u51fd\u6570\u3002<\/li>\n<li>\u4e24\u4e2a\u5076\/\u5947\u51fd\u6570\u7684\u590d\u5408\u76f8\u5f53\u4e8e\u4e00\u4e2a\u5076\/\u5947\u51fd\u6570\u3002<\/li>\n<li>\u552f\u4e00\u65e2\u662f\u5076\u6570\u53c8\u662f\u5947\u6570\u7684\u51fd\u6570\uff0c\u5373\u5173\u4e8e OY \u8f74\u548c\u539f\u70b9\u5bf9\u79f0\u7684\u51fd\u6570\u662f\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae937c042e388c1f5126fceae07be7ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-simetria-de-una-funcion\"><\/span>\u89e3\u51b3\u4e86\u51fd\u6570\u7684\u5bf9\u79f0\u6027\u95ee\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u51fd\u6570\u7684\u5bf9\u79f0\u6027\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-8f0d88e3094dddc6ab16ffb8050c2322_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^4+5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"124\" style=\"vertical-align: -5px;\"><\/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\">\u4e3a\u4e86\u8ba1\u7b97\u51fd\u6570\u7684\u5bf9\u79f0\u6027\uff0c\u6211\u4eec\u9700\u8981\u8bc4\u4f30<\/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-b7553f1b0f7cfc52e705cd1f9908e848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" 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-0638490da136ce7f3f1db6df387f795d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=(-x)^4+5(-x)^2=x^4+5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"282\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8d1f\u6570\u7684\u4efb\u4f55\u6307\u6570\u6b21\u5e42\u90fd\u4f1a\u5f97\u5230\u6b63\u6570\uff0c\u56e0\u6b64\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4ee5\u4e0b\u7b49\u5f0f\u6210\u7acb\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-69fe4f45354bb04cba2f1a80e49b8ab3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\u8be5\u51fd\u6570\u662f\u5076\u51fd\u6570\uff0c\u56e0\u6b64\u5b83\u5173\u4e8e y \u8f74 (Y \u8f74) \u5bf9\u79f0\u3002<\/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>\u7814\u7a76\u4ee5\u4e0b\u6709\u7406\u51fd\u6570\u7684\u5bf9\u79f0\u6027\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-cd9980769711cd7d60ab43abc8980a62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{7x^2}{3+x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"109\" 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\">\u4e3a\u4e86\u786e\u5b9a\u51fd\u6570\u7684\u5bf9\u79f0\u6027\uff0c\u6211\u4eec\u8fd9\u6837\u505a<\/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-b7553f1b0f7cfc52e705cd1f9908e848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" 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-3e174da9d0885640cf0a46a067f168b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=\\cfrac{7(-x)^2}{3+(-x)^3}=\\cfrac{7x^2}{3-x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"224\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u4e2a\u95ee\u9898\u4e2d\uff0c\u4e0d\u6ee1\u8db3\u5bf9\u79f0\u6761\u4ef6\uff0c\u56e0\u4e3a\u56fe\u50cf<\/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-6cacb15a7aa187378723791e7a017ae0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e0d\u7b49\u4e8e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u4e5f\u4e0d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d9e2fee8a3b8710948027f726423744e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-f(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" 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-7fb6e0b7763fede35f54312032556e17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)\\neq f(x)\\neq -f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"177\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u6ca1\u6709\u5bf9\u79f0\u8f74\uff0c\u800c\u662f\u4e00\u4e2a\u4e0d\u5bf9\u79f0\u51fd\u6570\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>\u8ba1\u7b97\u4ee5\u4e0b\u51fd\u6570\u7684\u5bf9\u79f0\u6027\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-4e99b7b72b9ed93abde170a685bf8562_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x|x|\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"95\" style=\"vertical-align: -5px;\"><\/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\">\u4e3a\u4e86\u5206\u6790\u51fd\u6570\u7684\u5bf9\u79f0\u6027\uff0c\u6211\u4eec\u9700\u8981\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-b7553f1b0f7cfc52e705cd1f9908e848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" 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-d939238f353c0ab70492a66466dd0569_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f(-x)&amp;=2(-x)|(-x)|\\\\[2ex]&amp;=-2x|-x|\\\\[2ex]&amp;=-2x|x|\\\\[2ex]&amp;=-(2x|x|)\\\\[2ex]&amp;=-f(x)\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"187\" width=\"165\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u7ed3\u679c\u8868\u8fbe\u5f0f\u4e0e\u539f\u59cb\u8868\u8fbe\u5f0f\u7c7b\u4f3c\uff0c\u4f46\u7b26\u53f7\u53d1\u751f\u4e86\u53d8\u5316\uff0c\u56e0\u6b64\u6ee1\u8db3\u4ee5\u4e0b\u7b49\u5f0f\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-a0bd80551468e58d0a6cf4dd8ba928dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u662f\u5947\u51fd\u6570\uff0c\u56e0\u6b64\u76f8\u5bf9\u4e8e\u5750\u6807\u539f\u70b9 (0,0) \u5bf9\u79f0\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u5bf9\u79f0\u51fd\u6570\uff08\u5076\u51fd\u6570\u548c\u5947\u51fd\u6570\uff09\u4ee5\u53ca\u5982\u4f55\u7814\u7a76\u51fd\u6570\u7684\u5bf9\u79f0\u6027\u3002\u60a8\u8fd8\u5c06\u80fd\u591f\u770b\u5230\u8fd9\u4e9b\u7c7b\u578b\u51fd\u6570\u7684\u5c5e\u6027\uff0c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%af%b9%e7%a7%b0%e5%87%bd%e6%95%b0%e5%92%8c%e9%9d%9e%e5%af%b9%e7%a7%b0%e5%87%bd%e6%95%b0%e7%9a%84%e5%af%b9%e7%a7%b0%e6%80%a7\/\"> <span class=\"screen-reader-text\">\u51fd\u6570\u7684\u5bf9\u79f0\u6027\uff1a\u5bf9\u79f0\u51fd\u6570\u548c\u975e\u5bf9\u79f0\u51fd\u6570<\/span> \u67e5\u770b\u5168\u6587 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