{"id":9,"date":"2023-09-17T11:14:13","date_gmt":"2023-09-17T11:14:13","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%85%b7%e6%9c%89%e7%bb%9d%e5%af%b9%e5%80%bc%e7%9a%84%e5%87%bd%e6%95%b0\/"},"modified":"2023-09-17T11:14:13","modified_gmt":"2023-09-17T11:14:13","slug":"%e5%85%b7%e6%9c%89%e7%bb%9d%e5%af%b9%e5%80%bc%e7%9a%84%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%85%b7%e6%9c%89%e7%bb%9d%e5%af%b9%e5%80%bc%e7%9a%84%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u7edd\u5bf9\u503c\u51fd\u6570"},"content":{"rendered":"<p>\u672c\u9875\u89e3\u91ca\u4ec0\u4e48\u662f\u7edd\u5bf9\u503c\u51fd\u6570\u3002\u60a8\u8fd8\u5c06\u5b66\u4e60\u5982\u4f55\u5b9a\u4e49\u5206\u6bb5\u7edd\u5bf9\u503c\u51fd\u6570\u4ee5\u53ca\u5982\u4f55\u5728\u56fe\u5f62\u4e0a\u8868\u793a\u8fd9\u4e9b\u7c7b\u578b\u7684\u51fd\u6570\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u770b\u5230\u7edd\u5bf9\u503c\u51fd\u6570\u7684\u793a\u4f8b\uff0c\u5e76\u4e14\u60a8\u5c06\u80fd\u591f\u901a\u8fc7\u7ec3\u4e60\u548c\u9010\u6b65\u89e3\u51b3\u7684\u95ee\u9898\u8fdb\u884c\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-funciones-con-valor-absoluto\"><\/span>\u4ec0\u4e48\u662f\u7edd\u5bf9\u503c\u51fd\u6570\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7edd\u5bf9\u503c\u51fd\u6570\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a <\/p>\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;\">\n<p style=\"text-align:left\">\u51fd\u6570\u7684\u7edd\u5bf9\u503c\u5c06\u5176\u6240\u6709\u56fe\u50cf\u8f6c\u6362\u4e3a\u6b63\u56fe\u50cf\u3002\u56e0\u6b64\uff0c\u7edd\u5bf9\u51fd\u6570\u7684\u8def\u5f84\u6c38\u8fdc\u4e0d\u80fd\u6709\u8d1f\u503c\u3002<\/p>\n<\/div>\n<p>\u4ee5\u4e0b\u51fd\u6570\u662f\u7edd\u5bf9\u503c\u51fd\u6570\u7684\u793a\u4f8b\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-c47683282f0a9e0fd462e2fc1378e9dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\lvert 5x \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5982\u679c\u5728\u67d0\u4e2a\u70b9\u8bc4\u4f30\u51fd\u6570\u65f6\u6211\u4eec\u83b7\u5f97\u6b63\u7ed3\u679c\uff0c\u5219\u5b83\u4ecd\u7136\u662f\u6b63\u503c\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-cfaead3a9197049ee7d0bed5f3b3f5f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=\\lvert 5\\cdot 1 \\rvert =\\lvert 5 \\rvert = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"171\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u7ed3\u679c\u4e3a\u8d1f\uff0c\u5219\u53d8\u4e3a\u6b63\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-75a9e6e15c0bce9dc1fb545b31455b9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1)=\\lvert 5\\cdot (-1) \\rvert =\\lvert -5 \\rvert = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"226\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u7edd\u5bf9\u503c\u51fd\u6570\u901a\u5e38\u5728\u9ad8\u4e2d\u7ed9\u51fa\uff0c\u56e0\u4e3a\u5b83\u4eec\u7684\u7279\u6027\u4f7f\u5b83\u4eec\u6709\u70b9\u96be\u4ee5\u7406\u89e3\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-definir-a-trozos-una-funcion-con-valor-absoluto\"><\/span>\u5982\u4f55\u5206\u6bb5\u5b9a\u4e49\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570<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;\">\n<p style=\"text-align:left\">\u7edd\u5bf9\u503c\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a\u5206\u6bb5\u51fd\u6570\u3002\u4e3a\u6b64\uff0c\u60a8\u5fc5\u987b\u66f4\u6539\u51fd\u6570\u5728\u8d1f\u6570\u533a\u95f4\u4e0a\u7684\u7b26\u53f7\u3002<\/p>\n<\/div>\n<p>\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u5982\u4f55\u4ece\u7edd\u5bf9\u503c\u51fd\u6570\u8f6c\u6362\u4e3a\u5206\u6bb5\u51fd\u6570\u7684\u793a\u4f8b\uff1a<\/p>\n<ul>\n<li>\u5c06\u4ee5\u4e0b\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u8868\u793a\u4e3a\u5206\u6bb5\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-edf34c53d8238453990b186ffc5f616a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = \\lvert 4 - x^2 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u786e\u5b9a\u51fd\u6570\u4f55\u65f6\u4e3a\u8d1f\u503c\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u4ee3\u6570\u8868\u8fbe\u5f0f\u7684\u7edd\u5bf9\u503c\u8bbe\u7f6e\u4e3a 0 \u5e76\u6c42\u89e3\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-049596750c778a5f50e68a9e8369cb0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-x^2=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-d7ed7be5f6a42be4e4ba618e00dd0469_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4 = x^2\" 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-6bf210076e7da91907e32495aee4ddb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{4}=\\sqrt{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" 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-a6a27a106bd911aac45faf1b5039ace8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pm 2 = x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" 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-18b3e26294cd13ef4d76d41990be697f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+2 \\qquad x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"148\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u73b0\u5728\u8868\u793a\u7ebf\u4e0a\u83b7\u5f97\u7684\u503c\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\/definir-une-fonction-avec-une-valeur-absolue-par-morceaux.webp\" alt=\"\" class=\"wp-image-223\" width=\"301\" height=\"78\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u770b\u770b\u54ea\u4e2a\u7b26\u53f7\u5728\u76f4\u7ebf\u7684\u6bcf\u4e2a\u533a\u95f4\u5185\u5177\u6709\u4e0d\u5e26\u7edd\u5bf9\u503c\u7684\u51fd\u6570\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-226\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b270a7e2bb18b56387023c4670dcc5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<-2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"56\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u6211\u4eec\u53d6\u4efb\u4f55\u5c0f\u4e8e-2\u7684\u70b9<\/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-606df33993eff663c8424997876305fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-3:\" 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-bc746433865b5501da3b6314099bb01c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-(-3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" 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-7b5b9d9f382b11767d19f257afca0019_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ec7063\"><strong>\u6d88\u6781\u7684<\/strong><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-955e8aaddd8d5a58e402e31d6eb395e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2 < x < 2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"87\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u6211\u4eec\u53d6 -2 \u548c +2 \u4e4b\u95f4\u7684\u4efb\u610f\u70b9<\/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-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" 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-9f9f2b6ade7cba7797f0b0f6f8ea9e9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-0^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"47\" 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-931ba91d1fc6461c60b7f742213666e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"+4\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"23\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#52be80\"><strong>\u79ef\u6781\u7684<\/strong><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0d114ca900168936b5c270433aff883_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x>2&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;42&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u6211\u4eec\u53d6\u4efb\u4f55\u5927\u4e8e 2 \u7684\u70b9<\/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-78faef7e9ffed317629cef84fb57deaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" 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-f2b132ec82fca16b3cc92e0fdd698f89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-3^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"47\" 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-7b5b9d9f382b11767d19f257afca0019_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ec7063\"><strong>\u6d88\u6781\u7684<\/strong><\/p>\n<\/div>\n<\/div>\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-valeur-absolue-definie-par-morceaux.webp\" alt=\"\" class=\"wp-image-224\" width=\"313\" height=\"95\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u6b63\u5982\u6211\u4eec\u6240\u770b\u5230\u7684\uff0c\u6ca1\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u5728\u533a\u95f4\u4e0a\u5c06\u4e3a\u8d1f\u503c<\/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-3b270a7e2bb18b56387023c4670dcc5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<-2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"56\" style=\"vertical-align: -2px;\"><\/p>\n<p>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1295f8dec4107bf28044bf4934bda93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x>2.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;47&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u901a\u8fc7\u5728\u8fd9\u4e9b\u533a\u95f4\u5185\u6539\u53d8\u5176\u7b26\u53f7\u6765\u7528\u7834\u6298\u53f7\u6765\u8868\u8fbe\u8be5\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-f5f441ea5792fb5cc7ba8300f71defef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 4 - x^2 \\rvert = \\left\\{ \\begin{array}{lcl} -(4-x^2) &amp; \\text{si} &amp;  x<-2 \\\\[2ex] 4-x^2 &amp; \\text{si} &amp; -2 \\le x \\le 2 \\\\[2ex] -(4-x^2) &amp; \\text{si} &amp; x>2 \\end{array} \\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;97&#8243; width=&#8221;372&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/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-89ab8a514afe36c94d7072efe47ef507_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 4 - x^2 \\rvert = \\left\\{ \\begin{array}{lcl} -4+x^2 &amp; \\text{si} &amp;  x<-2 \\\\[2ex] 4-x^2 &amp; \\text{si} &amp; -2 \\le x \\le 2 \\\\[2ex] -4+x^2 &amp; \\text{si} &amp; x>2 \\end{array} \\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;97&#8243; width=&#8221;358&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5728\u67d0\u4e9b\u95f4\u9694\u4e2d\uff0c\u60a8\u5fc5\u987b\u5305\u542b\u76f8\u7b49\u6027\u3002\u6bd4\u5982\u8fd9\u91cc\u6211\u4eec\u628a\u5b83\u653e\u5728\u7b2c\u4e8c\u4e2a\u533a\u95f4<\/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-94938ade68a1b5741436de703acf6b11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2 \\le x \\le 2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"87\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u3002\u4f46\u662f\uff0c\u53ea\u8981\u6240\u6709\u5173\u952e\u70b9\u90fd\u5b58\u5728\u5e73\u5c40\uff0c\u60a8\u5c31\u53ef\u4ee5\u5c06\u5176\u653e\u7f6e\u5728\u4efb\u4f55\u60a8\u60f3\u8981\u7684\u533a\u95f4\u4e2d\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u6211\u4eec\u5c06\u51fd\u6570\u5b9a\u4e49\u5982\u4e0b\uff0c\u7ed3\u679c\u662f\u4e00\u6837\u7684\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-5cce3bcc22edb3a7f511cea0a1c32372_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 4 - x^2 \\rvert = \\left\\{ \\begin{array}{lcl} -4+x^2 &amp; \\text{si} &amp;  x\\le-2 \\\\[2ex] 4-x^2 &amp; \\text{si} &amp; -2 < x < 2 \\\\[2ex] -4+x^2 &amp; \\text{si} &amp; x\\ge 2 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"358\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-representar-una-funcion-con-valor-absoluto\"><\/span>\u5982\u4f55\u7528\u7edd\u5bf9\u503c\u8868\u793a\u51fd\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\">\u4e3a\u4e86\u5728\u56fe\u5f62\u4e0a\u8868\u793a\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\uff0c\u6211\u4eec\u9700\u8981\u9075\u5faa\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:10px\"><span style=\"color:#101010;font-weight: normal;\">\u5c06\u51fd\u6570\u8868\u793a\u4e3a\u6ca1\u6709\u7edd\u5bf9\u503c\u3002<\/span><\/li>\n<li style=\"margin-bottom:10px\"><span style=\"color:#101010;font-weight: normal;\">\u5728\u51fd\u6570\u4e3a\u8d1f\u503c\uff08\u5373\u4f4d\u4e8e X \u8f74\u4e0b\u65b9\uff09\u7684\u533a\u95f4\u5185\uff0c\u7ed8\u5236\u5bf9\u79f0\u51fd\u6570\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u5220\u9664 X \u8f74\u4e0b\u65b9\u7684\u51fd\u6570\u90e8\u5206\u3002<\/span><\/li>\n<\/ol>\n<\/div>\n<p>\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u5982\u4f55\u7ed8\u5236\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u7684\u793a\u4f8b<\/p>\n<ul>\n<li>\u753b\u51fa\u4e0b\u5217\u51fd\u6570\u7684\u7edd\u5bf9\u503c\u56fe\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-6ac35a7caaf00f2d67b2f2b61ff1cd39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = \\lvert -x+2 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u8868\u793a\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\uff0c\u6211\u4eec\u5fc5\u987b\u9996\u5148\u8868\u793a\u4e0d\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5236\u4f5c\u4e0d\u5e26\u7edd\u5bf9\u503c\u7684\u51fd\u6570\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-07d0ca1f50ca938ab6ea8d7c84a425c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"112\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-229\">\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-899f69bd4bed4a335b2dff0b252811d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0) = -0+2=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"235\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-df4e009fc12029d53f169038cda9b897_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1) = -1+2=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"235\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-663a7471fdab5e88c76b7651786eaca0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2) = -2+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19ae14984790df8172468f3cf865033b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; 2 \\\\ 1 &amp; 1 \\\\ 2 &amp; 0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"78\" style=\"vertical-align: -40px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u6211\u4eec\u5c06\u70b9\u7ed8\u5236\u6210\u56fe\u8868\u5e76\u7ed8\u5236\u76f4\u7ebf\uff0c\u5c31\u597d\u50cf\u5b83\u662f\u4e00\u4e2a\u666e\u901a\u51fd\u6570\u4e00\u6837\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\/exemple-de-representation-graphique-d-une-fonction-avec-valeur-absolue.webp\" alt=\"\" class=\"wp-image-228\" width=\"330\" height=\"345\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u73b0\u5728\u6211\u4eec\u9700\u8981\u7ed8\u5236\u51fd\u6570\u4e3a\u8d1f\u7684\u5bf9\u79f0\u51fd\u6570\uff0c\u5373\u51fd\u6570\u4f4d\u4e8e x \u8f74\u4e0b\u65b9\u7684\u4f4d\u7f6e\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4ece x=2 \u5f00\u59cb\u53cd\u8f6c\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\/comment-representer-une-fonction-avec-une-valeur-absolue.webp\" alt=\"\u5982\u4f55\u7528\u7edd\u5bf9\u503c\u8868\u793a\u51fd\u6570\" class=\"wp-image-229\" width=\"330\" height=\"345\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6700\u540e\u6211\u4eec\u6d88\u9664\u4f4d\u4e8e X \u8f74\u4e0b\u65b9\u7684\u51fd\u6570\u8ff9\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\/comment-representer-graphiquement-une-fonction-avec-valeur-absolue.webp\" alt=\"\u5982\u4f55\u7ed8\u5236\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u7684\u56fe\u5f62\" class=\"wp-image-230\" width=\"330\" height=\"345\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u8fd9\u6837\uff0c\u6211\u4eec\u5c31\u5df2\u7ecf\u7528\u7edd\u5bf9\u503c\u6765\u8868\u793a\u51fd\u6570\u4e86\u3002\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u552f\u4e00\u6539\u53d8\u7684\u662f\u6211\u4eec\u5fc5\u987b\u53cd\u8f6c\u4f4d\u4e8e OX \u8f74\u4e0b\u65b9\u7684\u51fd\u6570\u90e8\u5206\u3002\u56e0\u6b64\uff0c\u4efb\u4f55\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u7684\u56fe\u5f62\u5c06\u59cb\u7ec8\u4f4d\u4e8e\u6b63\u534aY\u8f74\u4e00\u4fa7\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u56de\u987e\u4e00\u4e0b\u6982\u5ff5\uff0c\u4ece\u56fe\u4e2d\u6211\u4eec\u53ef\u4ee5\u63a8\u65ad\u51fa\u524d\u9762\u7684\u7edd\u5bf9\u503c\u51fd\u6570\u7684\u57df\u5b8c\u5168\u7531\u5b9e\u6570\u7ec4\u6210\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u6240\u8ff0\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u7684\u8303\u56f4\u6216\u8303\u56f4\u4ec5\u7531\u6b63\u6570\u548c\u96f6\u7ec4\u6210\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-con-valor-absoluto\"><\/span>\u89e3\u51b3\u4e86\u7edd\u5bf9\u503c\u51fd\u6570\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u5c06\u4ee5\u4e0b\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u8868\u793a\u4e3a\u5206\u6bb5\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-a306bf75df46ff859083a78d829b2eef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\lvert -x+3 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" 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\">\u9996\u5148\uff0c\u6211\u4eec\u8981\u770b\u770b\u51fd\u6570\u4ec0\u4e48\u65f6\u5019\u4e3a\u8d1f\u6570\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u7edd\u5bf9\u503c\u8bbe\u7f6e\u4e3a\u96f6\u5e76\u6c42\u89e3\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-caf85840d788f1955b02e0f3f36063bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x+3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"86\" 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-3573bf1ea4c223bb71878796b2106731_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u8868\u793a\u5728\u7ebf\u8def\u4e0a\u627e\u5230\u7684\u503c\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\/droite-3.webp\" alt=\"\" class=\"wp-image-232\" width=\"302\" height=\"78\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u8bc4\u4f30\u51fd\u6570\u6bcf\u4e2a\u533a\u95f4\u4e2d\u7684\u4e00\u4e2a\u70b9\uff08\u4e0d\u5e26\u7edd\u5bf9\u503c\uff09\uff0c\u4ee5\u627e\u51fa\u8be5\u51fd\u6570\u5728\u7ebf\u7684\u6bcf\u4e2a\u90e8\u5206\u4e2d\u5b9e\u9645\u5177\u6709\u7684\u7b26\u53f7\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-232\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdfb122a09ac596aa47b022ad9a5cc2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"43\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4f8b\u5982\uff0c\u6211\u4eec\u53d6\u4efb\u4f55\u5c0f\u4e8e 3 \u7684\u70b9<\/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-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" 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-7e0890b48bc15998d8216ddd2db16176_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-0+3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" 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-7ad711b28c93c6ada0e5fe5a1e230fd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"+3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"23\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#52be80\"><strong>\u79ef\u6781\u7684<\/strong><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d3b36e158b8f20164d896b9a7d17fa50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x>3&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;43&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4f8b\u5982\uff0c\u6211\u4eec\u53d6\u4efb\u4f55\u5927\u4e8e 3 \u7684\u70b9<\/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-914939b505e8fbb8d2291b61e8ddacd4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" 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-365613a847808487cd660349f0d88231_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-4+3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" 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-7b34c01098c83fa602de54e9d74d63a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ec7063\"><strong>\u6d88\u6781\u7684<\/strong><\/p>\n<\/div>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u6ca1\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u5728 x&gt;3 \u533a\u95f4\u5185\u5c06\u4e3a\u8d1f\u503c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u901a\u8fc7\u6539\u53d8\u8be5\u533a\u95f4\u5185\u7684\u7b26\u53f7\u6765\u7528\u7834\u6298\u53f7\u6765\u8868\u8fbe\u8be5\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-f7cfaaff9890b356f1db6805ed94dbb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert -x+3 \\rvert = \\left\\{ \\begin{array}{lcl} -x+3 &amp; \\text{si} &amp;  x<3 \\\\[2ex] -(-x+3) &amp; \\text{si} &amp; x\\ge 3 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"339\" 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-d249715b500ad03c44ab6ab5838e32e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert -x+3 \\rvert = \\left\\{ \\begin{array}{lcl} -x+3 &amp; \\text{si} &amp;  x<3 \\\\[2ex] x-3 &amp; \\text{si} &amp; x\\ge 3 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"311\" style=\"vertical-align: 0px;\"><\/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>\u6c42\u4ee5\u4e0b\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u7684\u5206\u6bb5\u8868\u8fbe\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-9a05487d49fb84ce6ef5691091ea0e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\lvert 3x^2-75 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"132\" 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\">\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u786e\u5b9a\u51fd\u6570\u4f55\u65f6\u4e3a\u8d1f\u503c\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u9700\u8981\u5c06\u7edd\u5bf9\u503c\u53c2\u6570\u8bbe\u7f6e\u4e3a\u96f6\u5e76\u6c42\u89e3\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-3dea6ef962a9ef19fed07ffc42194797_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2-75 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"99\" 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-0f850afc61e0d8da071a928826cee7a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2=75\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"67\" 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-2ee995a97565c553840729396879d33a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=\\cfrac{75}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"61\" 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-722346ebf4c6fa29627e6c3189f406d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=25\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"58\" 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-0095a5e0cc77221e389830d2046988f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\pm 5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u8868\u793a\u53f3\u4fa7\u83b7\u5f97\u7684\u51fd\u6570\u7684\u6839\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\/droite-5-5.webp\" alt=\"\" class=\"wp-image-234\" width=\"315\" height=\"81\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u6211\u4eec\u770b\u770b\u54ea\u4e2a\u7b26\u53f7\u5728\u76f4\u7ebf\u7684\u6bcf\u4e2a\u533a\u95f4\u5185\u5177\u6709\u4e0d\u5e26\u7edd\u5bf9\u503c\u7684\u51fd\u6570\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-236\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb21c501adb6d0ac477d922cfe7ba579_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<-5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4f8b\u5982\uff0c\u6211\u4eec\u53d6\u4efb\u4f55\u5c0f\u4e8e-5\u7684\u70b9<\/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-5a9f948cb7fcd7e26f3b052666a5866f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-6:\" 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-d130a71c02d5d34ac0ad1d79f406110e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3(-6)^2-75\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"92\" 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-acb15a08fb22f197fa38671d82d61495_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"108-75\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"64\" 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-d2ec2bba7f22d0801303e5b30291d8b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"+33\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"32\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#52be80\"><strong>\u79ef\u6781\u7684<\/strong><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-692e9f07ae0a137e650d3ffbfbb3c284_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5 < x < 5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"87\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4f8b\u5982\uff0c\u6211\u4eec\u53d6 -5 \u548c +5 \u4e4b\u95f4\u7684\u4efb\u610f\u70b9<\/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-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" 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-ad4c6a351daf3b196191010b15771ea4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3(0)^2-75\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"78\" 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-12a5e0a89f5c8fd323506dcc6bed3bef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0-75\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"48\" 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-ee14baf45888876e0c15a59d9ef5d977_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-75\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ec7063\"><strong>\u6d88\u6781\u7684<\/strong><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bb012de735ca62479fbbdd0ea29b076a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x>5&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;15&#8243; width=&#8221;42&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4f8b\u5982\uff0c\u6211\u4eec\u53d6\u4efb\u4f55\u5927\u4e8e 5 \u7684\u70b9<\/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-fa0fdbf265606b98cc79a55a73a98626_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=6:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" 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-bd19374f9a2d9ea68c404ad190740dda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3(6)^2-75\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"78\" 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-acb15a08fb22f197fa38671d82d61495_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"108-75\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"64\" 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-d2ec2bba7f22d0801303e5b30291d8b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"+33\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"32\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#52be80\"><strong>\u79ef\u6781\u7684<\/strong><\/p>\n<\/div>\n<\/div>\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\/positif-negatif-positif-5-5.webp\" alt=\"\" class=\"wp-image-235\" width=\"321\" height=\"97\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6ca1\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\u53ea\u4f1a\u5728\u533a\u95f4 -5&lt;x&lt;5 \u5185\u4e3a\u8d1f\u503c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u901a\u8fc7\u4ec5\u6539\u53d8\u8be5\u533a\u95f4\u7684\u7b26\u53f7\u6765\u5206\u6bb5\u8868\u8fbe\u8be5\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-9e0fad2e3a9e1a6d1edcde507e60230b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 3x^2-75 \\rvert = \\left\\{ \\begin{array}{lcl} 3x^2-75 &amp; \\text{si} &amp;  x<-5 \\\\[2ex] -(3x^2-75) &amp; \\text{si} &amp; -5 \\le x \\le 5 \\\\[2ex] 3x^2-75 &amp; \\text{si} &amp; x>5 \\end{array} \\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;97&#8243; width=&#8221;408&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/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-5f9638fe87ad09d7dbcdb8e30a16688f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 3x^2-75 \\rvert = \\left\\{ \\begin{array}{lcl} 3x^2-75 &amp; \\text{si} &amp;  x<-5 \\\\[2ex] -3x^2+75 &amp; \\text{si} &amp; -5 \\le x \\le 5 \\\\[2ex] 3x^2-75 &amp; \\text{si} &amp; x>5 \\end{array} \\right.&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;97&#8243; width=&#8221;394&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/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>\u753b\u51fa\u4e0b\u5217\u51fd\u6570\u7684\u7edd\u5bf9\u503c\u56fe\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-4b6608e02a73b79472f3b74cb86a193b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\lvert 2x-6 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" 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\">\u8981\u8868\u793a\u5177\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\uff0c\u5fc5\u987b\u9996\u5148\u8868\u793a\u4e0d\u5e26\u7edd\u5bf9\u503c\u7684\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-522333e60d963eb0bd568e139e2352d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= 2x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5b83\u662f\u4e00\u4e2a\u4eff\u5c04\u51fd\u6570\uff0c\u56e0\u6b64\u9700\u8981\u6784\u9020\u4e00\u4e2a\u503c\u8868\u6765\u4ee5\u56fe\u5f62\u65b9\u5f0f\u8868\u793a\u5b83\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-239\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c6c0b962f71d70918f47738c0e8b673_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0 \\longrightarrow f(0)=2\\cdot 0-6=-6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"246\" 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-7168f131fd26ff86b6b14c4eaac6f70b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1 \\longrightarrow f(1)=2\\cdot 1-6=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"246\" 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-393434f371c54ee9606e43ba4fa81ed1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2 \\longrightarrow f(2)=2\\cdot 2-6=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"245\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84132eafe4f43f962124fbc702b2e141_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; -6 \\\\ 1 &amp; -4 \\\\ 2 &amp; -2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"78\" style=\"vertical-align: -40px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6211\u4eec\u5728\u56fe\u8868\u4e0a\u7ed8\u5236\u70b9\u5e76\u753b\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\/exercice-resolu-3-fonction-avec-valeur-absolue-1.webp\" alt=\"\u89e3\u51b3\u7ec3\u4e60 3 \u7edd\u5bf9\u503c\u51fd\u6570 1\" class=\"wp-image-236\" width=\"311\" height=\"465\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u9700\u8981\u7ed8\u5236\u51fd\u6570\u4e3a\u8d1f\u7684\u5bf9\u79f0\u51fd\u6570\uff0c\u5373\u51fd\u6570\u4f4d\u4e8e X \u8f74\u4e0b\u65b9\u7684\u4f4d\u7f6e\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u51fd\u6570\u4ece x=3 \u5411\u540e\u53cd\u8f6c\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\/exercice-resolu-3-fonction-avec-valeur-absolue-2.webp\" alt=\"\u89e3\u51b3\u7ec3\u4e60 3 \u7edd\u5bf9\u503c\u51fd\u6570 2\" class=\"wp-image-237\" width=\"318\" height=\"467\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u6d88\u9664\u51fd\u6570\u4e2d\u4f4d\u4e8e X \u8f74\u4e0b\u65b9\u7684\u90e8\u5206\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\/exercices-resolus-de-fonctions-avec-valeur-absolue.webp\" alt=\"\u89e3\u51b3\u4e86\u7edd\u5bf9\u503c\u51fd\u6570\u7684\u7ec3\u4e60\" class=\"wp-image-238\" width=\"319\" height=\"472\" 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>\u753b\u51fa\u4e0b\u5217\u51fd\u6570\u7684\u7edd\u5bf9\u503c\u56fe\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-a414e839c3eae1d16570626e4abe3a9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\lvert x^2-4x \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"125\" 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\u8868\u793a\u4e00\u4e2a\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\uff0c\u6211\u4eec\u5fc5\u987b\u5148\u753b\u51fa\u6ca1\u6709\u7edd\u5bf9\u503c\u7684\u51fd\u6570\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-dfb07d438abe691fec156b4369787c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= x^2-4x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8fd9\u662f\u4e00\u4e2a\u4e8c\u6b21\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u8868\u793a\u5b83\uff0c\u6211\u4eec\u5fc5\u987b\u8ba1\u7b97\u629b\u7269\u7ebf\u9876\u70b9\u7684X\u5750\u6807\uff0c\u5176\u516c\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-61c82defabdf76c062dd1b778b419788_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-(-4)}{2\\cdot 1} = \\cfrac{+4}{2} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"236\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u521b\u5efa\u4e00\u4e2a\u503c\u8868\u3002\u4e3a\u6b64\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-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>\u5728\u9876\u90e8\u548c\u9876\u90e8\u5468\u56f4\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-242\">\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a369a696b68e4dc4f772787083a6219_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=2^2-4\\cdot 2 = -4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"265\" 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-3a1686d490d3c2134822c992a0171583_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=1^2-4\\cdot 1 = -3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"265\" 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-13de70296eef5ec210b22fb15e6dbeab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=3^2-4\\cdot 3 = -3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"265\" 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-d7b0ade8cdebba0cf2629a58eca44566_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=0^2-4\\cdot 0 = 0 -0  = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"314\" 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-7e954f33f94f7693984b33e8fb9c1e01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=4^2-4\\cdot 4 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"251\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9047cec1226234f74cd24aeaa734a15e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 2 &amp; -4 \\\\ 1 &amp; -3 \\\\ 3 &amp; -3 \\\\ 0 &amp; 0 \\\\ 4 &amp; 0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6211\u4eec\u5728\u56fe\u4e0a\u7ed8\u5236\u70b9\u5e76\u7ed8\u5236\u629b\u7269\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\/cropped-icon-polynomials.jpg.jpg\" alt=\"\u7edd\u5bf9\u503c\u51fd\u6570\u7684\u793a\u4f8b\" class=\"wp-image-239\" width=\"319\" height=\"448\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u73b0\u5728\uff0c\u6211\u4eec\u9700\u8981\u5728\u51fd\u6570\u4e3a\u8d1f\u65f6\uff08\u5373\u51fd\u6570\u4f4d\u4e8e OX \u8f74\u4e0b\u65b9\uff09\u5bf9\u79f0\u5e73\u79fb\u8be5\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u51fd\u6570\u4ece x=0 \u53cd\u8f6c\u4e3a x=4\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-avec-valeur-absolue-du-degre-2.webp\" alt=\"\u7edd\u5bf9\u503c\u4e3a 2 \u6b21\u7684\u51fd\u6570\" class=\"wp-image-240\" width=\"319\" height=\"443\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u540e\u6211\u4eec\u5220\u9664\u51fd\u6570\u4e2d\u4f4d\u4e8e X \u8f74\u4e0b\u65b9\u7684\u90e8\u5206\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\/exercices-resolus-etape-par-etape-des-fonctions-a-valeur-absolue.webp\" alt=\"\u9010\u6b65\u89e3\u51b3\u7edd\u5bf9\u503c\u51fd\u6570\u7684\u7ec3\u4e60\" class=\"wp-image-241\" width=\"319\" height=\"446\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u9875\u89e3\u91ca\u4ec0\u4e48\u662f\u7edd\u5bf9\u503c\u51fd\u6570\u3002\u60a8\u8fd8\u5c06\u5b66\u4e60\u5982\u4f55\u5b9a\u4e49\u5206\u6bb5\u7edd\u5bf9\u503c\u51fd\u6570\u4ee5\u53ca\u5982\u4f55\u5728\u56fe\u5f62\u4e0a\u8868\u793a\u8fd9\u4e9b\u7c7b\u578b\u7684\u51fd\u6570\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u770b\u5230 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%85%b7%e6%9c%89%e7%bb%9d%e5%af%b9%e5%80%bc%e7%9a%84%e5%87%bd%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u7edd\u5bf9\u503c\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-9","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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