{"id":7,"date":"2023-09-17T11:16:54","date_gmt":"2023-09-17T11:16:54","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%ba%8c%e6%ac%a1%e6%8a%9b%e7%89%a9%e7%ba%bf%e5%87%bd%e6%95%b0\/"},"modified":"2023-09-17T11:16:54","modified_gmt":"2023-09-17T11:16:54","slug":"%e4%ba%8c%e6%ac%a1%e6%8a%9b%e7%89%a9%e7%ba%bf%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%ba%8c%e6%ac%a1%e6%8a%9b%e7%89%a9%e7%ba%bf%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u4e8c\u6b21\u51fd\u6570\u6216\u629b\u7269\u7ebf"},"content":{"rendered":"<p>\u672c\u9875\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u4e8c\u6b21\u51fd\u6570\u53ca\u5176\u6240\u6709\u7279\u5f81\uff1a\u66f2\u7387\u3001\u9876\u70b9\u3001\u4e0e\u8f74\u7684\u4ea4\u70b9\u7b49\u3002\u60a8\u8fd8\u5c06\u5b66\u4e60\u5982\u4f55\u5728\u56fe\u5f62\u4e0a\u8868\u793a\u4e8c\u6b21\u51fd\u6570\u3002\u6700\u540e\uff0c\u60a8\u53ef\u4ee5\u901a\u8fc7\u793a\u4f8b\u3001\u5206\u6b65\u7ec3\u4e60\u548c\u4e8c\u6b21\u51fd\u6570\u95ee\u9898\u8fdb\u884c\u7ec3\u4e60\u3002 <\/p>\n<p><strong><\/strong><\/p>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><strong> <\/strong><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-cuadratica\"><\/span>\u4ec0\u4e48\u662f\u4e8c\u6b21\u51fd\u6570\uff1f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><strong> <\/strong><\/div>\n<\/div>\n<p>\u4e8c\u6b21\u51fd\u6570\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a <\/p>\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\">\u5728\u6570\u5b66\u4e2d\uff0c<strong>\u4e8c\u6b21\uff08\u6216\u629b\u7269\u7ebf\uff09\u51fd\u6570<\/strong>\u662f 2 \u6b21\u591a\u9879\u5f0f\u51fd\u6570\uff0c\u5373\u6700\u9ad8\u6b21\u9879\u4e3a\u4e8c\u6b21\u7684\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u4e8c\u6b21\u51fd\u6570\u7684\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-576d742ea12f780a76fa5809f5112086_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=ax^2+bx+c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"154\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u91d1\u5b50\uff1a<\/p>\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-0dfe37f98696a04358a5783f12ff4d6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ax^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4e8c\u6b21\u9879\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e925448cc849aa310b3d4a7b77594e4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"bx\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u7ebf\u6027\u9879\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u72ec\u7acb\u9879\u3002<\/li>\n<\/ul>\n<\/div>\n<p>\u4e8c\u6b21\u51fd\u6570\u7684\u57df\u59cb\u7ec8\u7531\u5b9e\u6570\u7ec4\u6210\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-91d461485d0f02bb14db6855a3774878_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f=\\mathbff{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"concavidad-y-convexidad-de-una-funcion-cuadratica\"><\/span>\u4e8c\u6b21\u51fd\u6570\u7684\u51f9\u6027\u548c\u51f8\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5206\u6790\u4e8c\u6b21\u51fd\u6570\u6216\u629b\u7269\u7ebf\u51fd\u6570\u7684\u66f2\u7387\u975e\u5e38\u7b80\u5355\uff0c\u56e0\u4e3a\u5b83\u4ec5\u53d6\u51b3\u4e8e\u4e8c\u6b21\u7cfb\u6570\u3002<\/p>\n<ul>\n<li>\u5982\u679c\u7cfb\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e3a\u6b63\uff0c\u4e8c\u6b21\u51fd\u6570\u662f<strong>\u51f8\u51fd\u6570<\/strong>\uff08\u5f62\u5f0f\u4e3a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5ebc563dbe58138d1de6b7fe99e8d31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\cup}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff09\u3002\u56e0\u6b64\uff0c\u767b\u9876\u662f\u6700\u4f4e\u9650\u5ea6\u3002<\/li>\n<li>\u5982\u679c\u7cfb\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e3a\u8d1f\uff0c\u4e8c\u6b21\u51fd\u6570\u662f<strong>\u51f9\u7684<\/strong>\uff08\u5f62\u72b6\u50cf<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dccbfcebef91876585ebd365457c3d24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\cap}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff09\u3002\u56e0\u6b64\u5cf0\u503c\u662f\u6700\u5927\u503c\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-columns is-layout-flex wp-container-349\">\n<div class=\"wp-block-column is-layout-flow\">\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-quadratique-ou-parabole-convexe.webp\" alt=\"\u4e8c\u6b21\u51fd\u6570\u6216\u51f8\u629b\u7269\u7ebf\" class=\"wp-image-132\" width=\"254\" height=\"259\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\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-quadratique-ou-parabole-concave.webp\" alt=\"\u4e8c\u6b21\u51fd\u6570\u6216\u51f9\u629b\u7269\u7ebf\" class=\"wp-image-133\" width=\"255\" height=\"260\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>\u6ce8\u610f\uff1a<\/strong>\u6570\u5b66\u754c\u4ecd\u7136\u6ca1\u6709\u5b8c\u5168\u540c\u610f\uff0c\u56e0\u6b64\uff0c\u4e00\u4e9b\u6559\u6388\u63d0\u51fa\u4e86\u76f8\u53cd\u7684\u8bf4\u6cd5\uff1a\u4ed6\u4eec\u5c06\u5f62\u72b6\u4e3a a \u7684\u51fd\u6570\u79f0\u4e3a\u51f9\u51fd\u6570<\/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-f5ebc563dbe58138d1de6b7fe99e8d31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\cup}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff0c\u4ee5\u53ca\u4e00\u4e2a\u51f8\u51fd\u6570\uff0c\u5176\u5f62\u5f0f\u4e3a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dccbfcebef91876585ebd365457c3d24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\cap}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002\u65e0\u8bba\u5982\u4f55\uff0c\u91cd\u8981\u7684\u662f\u4ec0\u4e48\u5f62\u5f0f\u5177\u6709\u529f\u80fd\uff0c\u65e0\u8bba\u540d\u79f0\u5982\u4f55\u3002 <\/p>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"vertice-de-una-funcion-cuadratica\"><\/span>\u4e8c\u6b21\u51fd\u6570\u7684\u9876\u70b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981\u7ed8\u5236\u4e8c\u6b21\u51fd\u6570\u7684\u56fe\u5f62\uff0c\u5fc5\u987b\u77e5\u9053\u629b\u7269\u7ebf\u9876\u70b9\u7684\u5750\u6807\u3002 <\/p>\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\u627e\u5230\u4e8c\u6b21\u51fd\u6570\u7684\u9876\u70b9\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u8be5\u70b9\u7684 X \u5750\u6807\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-93ad079a75f2c2a452e1aaf0654aaaf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=\\frac{-b}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<p>\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u8be5\u70b9\u51fd\u6570\u7684\u56fe\u50cf\u6765\u627e\u5230\u53e6\u4e00\u4e2a\u9876\u70b9\u5750\u6807\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-8ad3822f13f081a20e55c52589118288_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f\\left(\\frac{-b}{2a}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"62\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e8c\u6b21\u51fd\u6570\uff08\u6216\u629b\u7269\u7ebf\uff09\u7684\u9876\u70b9\u5750\u6807\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-37777c8a435f1df10f87842c8bd463d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{-b}{2a} \\ , \\ f\\left(\\frac{-b}{2a}\\right)\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"130\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"puntos-de-corte-con-los-ejes-de-una-funcion-cuadratica\"><\/span>\u7528\u4e8c\u6b21\u51fd\u6570\u7684\u8f74\u5207\u5272\u70b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-107\"><strong> <\/strong><\/div>\n<\/div>\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\">\u629b\u7269\u7ebf\u603b\u662f\u4e0e y \u8f74\uff08Y \u8f74\uff09\u76f8\u4ea4\uff0c\u8fd9\u79cd\u60c5\u51b5\u53d1\u751f\u5728<\/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-d6889ee3f02f0af137641306363d2da7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u4e8c\u6b21\u51fd\u6570\u4e0e Y \u8f74\u7684\u622a\u6b62\u70b9\uff0c\u5fc5\u987b\u6c42\u89e3<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d449eebd1f011aebdf90931f3a66a3b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4e8c\u6b21\u51fd\u6570\u4e0e OY \u8f74\u7684\u4ea4\u70b9\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-7a32a12ecec8c6b0617daf9e84bd4d07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"146\" 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-9d17bae0af24be9eaa8833d402a1709c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0)=0^2-2\\cdot 0+1 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"188\" 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-308d0aeca611c20e62ee56db1ced4618_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(0,1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\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\">\u53e6\u4e00\u65b9\u9762\uff0c\u4e8c\u6b21\u51fd\u6570\u4e0e x \u8f74\uff08X \u8f74\uff09\u7684\u622a\u6b62\u70b9\u51fa\u73b0\u5728<\/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-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<p>\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u4e0e X \u8f74\u7684\u4ea4\u70b9\uff0c\u60a8\u5fc5\u987b\u6c42\u89e3\u65b9\u7a0b<\/p>\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<\/p>\n<\/div>\n<p>\u4f5c\u4e3a\u4f8b\u5b50\uff0c\u4e0b\u9762\u662f\u540c\u4e00\u4e2a\u4e8c\u6b21\u51fd\u6570\u7684 OX \u8f74\u622a\u6b62\u70b9\u7684\u8ba1\u7b97\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-7a32a12ecec8c6b0617daf9e84bd4d07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"146\" 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-62b9becef089451225ec98e56e46fb45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0=x^2-2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"121\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u7528\u4e00\u822c\u516c\u5f0f\u6c42\u89e3\u4e8c\u6b21\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-bd0f7a0d21b888b4e5016eb027b534a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-b\\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" 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-c8fa2c0e690ee979b162d63c9ee18904_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-(-2)\\pm \\sqrt{(-2)^2-4\\cdot 1\\cdot1}}{2\\cdot 1} =\\cfrac{2\\pm 0}{2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"348\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e8c\u6b21\u51fd\u6570\u4e0e X \u8f74\u7684\u4ea4\u70b9\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-84f3677bb18b0fdcb23f9f99693d049e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(1,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u53ea\u80fd\u5f97\u5230\u4e8c\u6b21\u65b9\u7a0b\u7684\u4e00\u4e2a\u89e3\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u4e24\u4e2a\u89e3\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8fd9\u610f\u5473\u7740\u4e8c\u6b21\u51fd\u6570\u5728\u4e24\u4e2a\u4e0d\u540c\u7684\u70b9\u5904\u4e0e X \u8f74\u76f8\u4ea4\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-representar-una-funcion-cuadratica-o-parabola\"><\/span>\u4e8c\u6b21\u51fd\u6570\u6216\u629b\u7269\u7ebf\u51fd\u6570\u7684\u8868\u793a\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-108\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<p>\u8ba9\u6211\u4eec\u901a\u8fc7\u793a\u4f8b\u4e86\u89e3<strong>\u5982\u4f55\u5728\u56fe\u5f62\u4e0a\u8868\u793a\u4e8c\u6b21\u51fd\u6570<\/strong>\u3002<\/p>\n<ul>\n<li>\u7ed8\u5236\u4ee5\u4e0b\u51fd\u6570\u7684\u56fe\u5f62\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-daee208a4b18c835d0b39c0a1bbc1ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u9996\u5148\u8981\u505a\u7684\u662f<strong>\u8ba1\u7b97\u629b\u7269\u7ebf\u7684\u9876\u70b9\u3002<\/strong>\u4e3a\u6b64\uff0c\u6211\u4eec\u4f7f\u7528\u4e0a\u9762\u770b\u5230\u7684\u516c\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-c7b3ed3c7bf6661b563290769c1b3f75_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=\"215\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u9876\u70b9\u5728\u54ea\u91cc\uff0c\u6211\u4eec\u5c31\u9700\u8981\u6784\u5efa\u4e00\u4e2a\u503c\u8868\uff1a <strong>&nbsp;<\/strong>\u6211\u4eec\u8ba1\u7b97\u9876\u70b9\u53ca\u5176\u5468\u56f4\u70b9\u7684\u51fd\u6570\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-daee208a4b18c835d0b39c0a1bbc1ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-352\">\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-20fbda178bf7ed0b06d87f8b9558352b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2) = 2^2-4\\cdot2+5=1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" 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-2561b16ae2d9dc6ea4f9734bedbcdf81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=1^2-4\\cdot1+5=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" 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-790d7ae514d18f03db8e9c373adbf050_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3) = 3^2-4\\cdot3+5=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" 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-6820340ec293e65b9be9ed3e85ce8308_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0) = 0^2-4\\cdot0+5=5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" 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-2b61ea6ec8c7982dc52816f3e27e1637_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4) = 4^2-4\\cdot4+5=5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" 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-361c835cbcad63310e504c58d5d603c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 2 &amp; 1 \\\\ 1 &amp; 2 \\\\ 3 &amp; 2 \\\\ 0 &amp; 5 \\\\ 4 &amp; 5 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u60a8\u8fd8\u53ef\u4ee5\u8ba1\u7b97\u4e8c\u6b21\u51fd\u6570\u4e0e\u7b1b\u5361\u5c14\u8f74\u7684\u5272\u70b9\uff0c\u4ee5\u66f4\u597d\u5730\u7ed8\u5236\u629b\u7269\u7ebf\uff0c\u4f46\u8fd9\u5e76\u4e0d\u662f\u7edd\u5bf9\u5fc5\u8981\u7684\u3002<\/p>\n<p>\u6211\u4eec\u73b0\u5728\u5728\u56fe\u8868\u4e0a\u8868\u793a\u83b7\u5f97\u7684\u70b9<strong>\uff1a<\/strong> <\/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-comment-representer-une-fonction-quadratique-ou-parabole.webp\" alt=\"\u5982\u4f55\u8868\u793a\u4e8c\u6b21\u51fd\u6570\u6216\u629b\u7269\u7ebf\u51fd\u6570\u7684\u793a\u4f8b\" class=\"wp-image-136\" width=\"260\" height=\"300\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u5f62\u6210\u629b\u7269\u7ebf\u7684\u70b9\u8fde\u63a5\u8d77\u6765\u3002\u7136\u540e\u6211\u4eec\u62c9\u957f\u629b\u7269\u7ebf\u7684\u5206\u652f\u4ee5\u8868\u660e\u5b83\u7ee7\u7eed\u5411\u4e0a\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\/representation-d-une-fonction-quadratique-ou-parabole.webp\" alt=\"\u4e8c\u6b21\u6216\u629b\u7269\u7ebf\u51fd\u6570\u7684\u8868\u793a\" class=\"wp-image-137\" width=\"260\" height=\"293\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-cuadraticas\"><\/span>\u89e3\u51b3\u4e86\u4e8c\u6b21\u51fd\u6570\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u627e\u5230\u4ee5\u4e0b\u4e8c\u6b21\u51fd\u6570\u7684\u9876\u70b9\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d138d20f23c7aa6367c85907671a073b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x^2+8x+4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"156\" 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\u9996\u5148\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u9876\u70b9\u7684 X \u5750\u6807\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-f393ada7f0e57fd87a582657183d4f2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-8}{2\\cdot 2} = \\cfrac{-8}{4} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"223\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u901a\u8fc7\u8ba1\u7b97\u8be5\u70b9\u7684\u51fd\u6570\u6765\u8ba1\u7b97\u53e6\u4e00\u4e2a\u5750\u6807\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-d6067325564a5af06f7384d76157f3aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} f(-2) &amp; =2(-2)^2+8(-2)+4 \\\\[1.7ex] &amp; = 2 \\cdot 4 - 16 +4 \\\\[1.7ex] &amp; = 8-16+4 \\\\[1.7ex] &amp; = -4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4e8c\u6b21\u51fd\u6570\u7684\u9876\u70b9\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-331c4c81f99a9749f15d457746a5f745_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(-2,-4)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602 <\/h3>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-110\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n<p>\u627e\u5230\u4ee5\u4e0b\u51fd\u6570\u4e0e\u8f74\u7684\u5206\u754c\u70b9\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09640c22a09e153b538a5aff018e02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" 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\u7b97Y\u8f74\u7684\u5207\u70b9\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-8f92d7beea0ed3a053927c2d429d3450_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b60958618b8dddf8706873a570491dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(0)=0^2-4\\cdot 0+3 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u5728\u4ee5\u4e0b\u70b9\u7a7f\u8fc7 Y \u8f74\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-fce94a71978b3cf055b18dce85b4746f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(0,3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e3a\u4e86\u627e\u5230 X \u8f74\u7684\u5207\u70b9\uff0c\u6211\u4eec\u9700\u8981\u89e3\u51b3<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-05bb421b504b7ae4aa483574cd6f28d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c09640c22a09e153b538a5aff018e02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" 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-6d78e40252b245c2ea862b8de892b646_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0=x^2-4x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"122\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u4e8c\u6b21\u65b9\u7a0b\u7684\u6839\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-bd0f7a0d21b888b4e5016eb027b534a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-b\\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" 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-0d909ba6581faf5916f0b1c0df7e471f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=\\cfrac{-(-4)\\pm \\sqrt{(-4)^2-4\\cdot 1\\cdot 3}}{2\\cdot 1} =\\cfrac{4\\pm 2}{2} = \\begin{cases} 3 \\\\[2ex] 1 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"365\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u5728\u4e24\u4e2a\u70b9\u5904\u5207\u5272 X \u8f74\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-30411245eaebedd735c4c804372a58e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(1,0) \\qquad (3,0)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"112\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u7ed8\u5236\u4ee5\u4e0b\u4e8c\u6b21\u51fd\u6570\u7684\u56fe\u5f62\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-2dea5d0b581ec4e3a7e39ff51b8a25b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-x^2+4x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"160\" 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\">\u8fd9\u662f\u4e00\u4e2a\u4e8c\u6b21\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u8981\u8868\u793a\u5b83\uff0c\u60a8\u5fc5\u987b\u9996\u5148\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u629b\u7269\u7ebf\u9876\u70b9\u7684\u6a2a\u5750\u6807\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-e0d4a78b32998cdd3b2bdff7d143e870_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=\"43\" width=\"236\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u521b\u5efa\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-355\">\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-44c68320944b905e1f9bdc40e71de785_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=-2^2+4\\cdot2+1 = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"294\" 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-b8a73224d11487e6153b9fce73715cbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=-1^2+4\\cdot1+1 = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"295\" 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-1db5d9c522aa5f555daed75308f9f5d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=-3^2+4\\cdot3+1 =4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"295\" 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-8011dabdadc4055e9bb1d225a5ce0630_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=-0^2+4\\cdot0+1 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"294\" 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-ce78a26ab2e830c17be7b66a4d1092a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=-4^2+4\\cdot4+1 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"294\" 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-32fd0aec4a82615193ca7a894555a8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 2 &amp; 5 \\\\ 1 &amp; 4 \\\\ 3 &amp; 4 \\\\ 0 &amp; 1 \\\\ 4 &amp; 1 \\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\">\u6700\u540e\uff0c\u6211\u4eec\u5728\u56fe\u8868\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\/exemple-de-fonction-quadratique.webp\" alt=\"\u4e8c\u6b21\u51fd\u6570\u793a\u4f8b\" class=\"wp-image-138\" width=\"267\" height=\"273\" 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>\u7ed8\u5236\u4ee5\u4e0b\u4e8c\u6b21\u51fd\u6570\u7684\u56fe\u5f62\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-743023f52acec123a62e655d6e2d954d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-2x^2-8x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"169\" 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\">\u8fd9\u662f\u4e8c\u9636\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u8981\u8868\u793a\u5b83\uff0c\u60a8\u5fc5\u987b\u9996\u5148\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u627e\u5230\u629b\u7269\u7ebf\u9876\u70b9\u7684\u6a2a\u5750\u6807\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-7b29662b7e8b1efcbc7ccdccbb082a2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-(-8)}{2\\cdot (-2)} = \\cfrac{+8}{-4} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"250\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u6784\u5efa\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-358\">\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-e77f3b13fa69e6004d7032fec18a3904_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -2 \\ \\longrightarrow \\ f(-2)=-2(-2)^2-8\\cdot(-2)-1 =7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"387\" 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-48e126275f3f7f7c497b49cdf8370100_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1 \\ \\longrightarrow \\ f(-1)=-2(-1)^2-8\\cdot(-1)-1= 5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"386\" 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-5a182ace189ad944ee9650df34fc695d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -3 \\ \\longrightarrow \\ f(-3)=-2(-3)^2-8\\cdot(-3)-1= 5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"386\" 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-336ae2592fa21f948dc76ddb165dbf7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=-2\\cdot0^2-8\\cdot0-1=  -1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"330\" 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-aafee3fbd7edddaff9f3a0f72676a3b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -4 \\ \\longrightarrow \\ f(-4)=-2(-4)^2-8\\cdot(-4)-1= -1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"400\" 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-7a2a1163e24c8a1302015eaff2bd1503_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline -2 &amp; 7 \\\\ -1 &amp; 5 \\\\ -3 &amp; 5 \\\\ 0 &amp; -1 \\\\ -4 &amp; -1 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"90\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\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\/exercice-resolu-etape-par-etape-de-la-fonction-quadratique.webp\" alt=\"\u4e8c\u6b21\u51fd\u6570\u7684\u9010\u6b65\u6c42\u89e3\u7ec3\u4e60\" class=\"wp-image-139\" width=\"281\" height=\"336\" 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\u4e605<\/h3>\n<div id=\"ezoic-pub-ad-placeholder-111\"><\/div>\n<p>\u5728\u56fe\u4e0a\u7ed8\u5236\u4ee5\u4e0b\u4e0d\u5b8c\u5168\u4e8c\u6b21\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-2e5bac9d65f6cadab9818bc92de4830f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" 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\">\u5b83\u662f\u4e8c\u6b21\u591a\u9879\u5f0f\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u8981\u8868\u793a\u5b83\uff0c\u60a8\u5fc5\u987b\u9996\u5148\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u629b\u7269\u7ebf\u9876\u70b9\u7684\u6a2a\u5750\u6807\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-a07f94b2c2b30a834d1292de34ae82ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-0}{2\\cdot1} = \\cfrac{0}{2} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"188\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8be5\u51fd\u6570\u662f\u4e0d\u5b8c\u6574\u7684\uff0c\u56e0\u4e3a\u5b83\u6ca1\u6709\u4e00\u6b21\u9879\u3002\u4e3a\u4e86\u90a3\u4e2a\u539f\u56e0<\/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-dad334f6e000c51bc6691844f1a7ffab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=0 .\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"44\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5236\u4f5c\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-361\">\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-e178a1ad103666d3b960f843389f3fce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=0^2+2=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"228\" 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-93f9a7aaa75802bd85717ec9ebdd5ed0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=1^2+2=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"229\" 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-41993cef6c11ca85064167dec57c0e9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -1 \\ \\longrightarrow \\ f(-1)=(-1)^2+2=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"285\" 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-e6135721b6b23419b1fa746b6183acc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=2^2+2=6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"229\" 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-3160882279942b03e20689c0764f2135_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= -2 \\ \\longrightarrow \\ f(-2)=(-2)^2+2=6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"285\" 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-71b2750173c31f2e7a31f9aeff6ac45f_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; 3 \\\\ -1 &amp; 3 \\\\ 2 &amp; 6 \\\\ -2 &amp; 6 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"90\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\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\/exercices-resolus-pour-representer-une-fonction-quadratique-incomplete.webp\" alt=\"\u89e3\u51b3\u4e86\u8868\u793a\u4e0d\u5b8c\u5168\u4e8c\u6b21\u51fd\u6570\u7684\u7ec3\u4e60\" class=\"wp-image-140\" width=\"255\" height=\"285\" 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\u4e606<\/h3>\n<p>\u89e3\u51b3\u4ee5\u4e0b\u4e0e\u4e8c\u6b21\u51fd\u6570\u76f8\u5173\u7684\u95ee\u9898\uff1a<\/p>\n<p>\u751f\u4ea7\u4ea7\u54c1\u7684\u6210\u672c\u7531\u4ee5\u4e0b\u51fd\u6570\u5b9a\u4e49\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-c3e866f3ef954385f97070c37aeda9ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-12x+76\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"165\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50<\/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-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u751f\u4ea7\u7684\u5355\u4f4d\uff08\u4ee5\u5343\u4e3a\u5355\u4f4d\uff09\u548c<\/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>\u662f\u5355\u4f4d\u7684\u751f\u4ea7\u6210\u672c\uff08\u4ee5\u5343\u6b27\u5143\u4e3a\u5355\u4f4d\uff09\u3002<\/p>\n<ul>\n<li>\u7528\u56fe\u8868\u8868\u793a\u751f\u4ea7\u6210\u672c\u51fd\u6570\u3002<\/li>\n<li>\u786e\u5b9a\u5e94\u751f\u4ea7\u591a\u5c11\u4e07\u4ef6\u624d\u80fd\u6700\u5927\u9650\u5ea6\u5730\u964d\u4f4e\u6210\u672c\u3002 <\/li>\n<\/ul>\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\">\u8fd9\u662f\u4e00\u4e2a\u4e8c\u6b21\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u8981\u8868\u793a\u5b83\uff0c\u60a8\u5fc5\u987b\u9996\u5148\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u627e\u5230\u629b\u7269\u7ebf\u9876\u70b9\u7684\u6a2a\u5750\u6807\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-a237afcda60e57e87029cd7bca6d4134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-(-12)}{2\\cdot 1} = \\cfrac{12}{2} = 6\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"233\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5236\u4f5c\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-364\">\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-a354ded9ac2e79841029224a3e6d062a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 6 \\ \\longrightarrow \\ f(6)=6^2-12\\cdot6+76 = 40\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"308\" 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-fad9733a751d03644ed384789ac0287c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 5 \\ \\longrightarrow \\ f(5)=5^2-12\\cdot5+76 = 41\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"307\" 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-0e801ae3dc944bbd7d5638bbba43c3eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 7 \\ \\longrightarrow \\ f(7)=7^2-12\\cdot7+76 = 41\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"307\" 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-750d34e08cf06f200b0beb142402fbd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=4^2-12\\cdot4+76 =  44\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"308\" 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-a8c9a488faf10289c77c6c79465bee25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 8 \\ \\longrightarrow \\ f(8)=8^2-12\\cdot8+76 = 44\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"308\" 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-aa20ac17af14b4726a38ec315091fc8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 6 &amp; 40 \\\\ 5 &amp; 41 \\\\ 7 &amp; 41 \\\\ 4 &amp; 44 \\\\ 8 &amp; 44 \\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\">\u73b0\u5728\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\/probleme-des-fonctions-quadratiques-ou-des-paraboles.webp\" alt=\"\u4e8c\u6b21\u6216\u629b\u7269\u7ebf\u51fd\u6570\u95ee\u9898\" class=\"wp-image-141\" width=\"440\" height=\"536\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u51fd\u6570\u88ab\u8868\u793a\u51fa\u6765\uff0c\u6211\u4eec\u5c31\u4f1a\u770b\u5230\u6210\u672c\u88ab\u6700\u5c0f\u5316\u4e86\u591a\u5c11\u3002<\/p>\n<p class=\"has-text-align-left\">\u5982\u56fe\u6240\u793a\uff0c\u5728\u629b\u7269\u7ebf\u7684\u9876\u90e8\u5c06\u8fbe\u5230\u6700\u4f4e\u6210\u672c\u3002\u56e0\u4e3a\u90a3\u662f\u51fd\u6570\u53d6\u6700\u5c0f\u503c\u7684\u5730\u65b9\u3002<\/p>\n<p class=\"has-text-align-left\">\u603b\u4e4b\uff0c\u751f\u4ea7 6,000 \u4ef6\u53ef\u5c06\u6210\u672c\u964d\u81f3\u6700\u4f4e\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e607<\/h3>\n<p>\u89e3\u51b3\u4ee5\u4e0b\u4e8c\u6b21\u51fd\u6570\u95ee\u9898\uff1a<\/p>\n<p>\u8fd0\u52a8\u5458\u8fdb\u884c\u6807\u67aa\u6295\u63b7\uff0c\u5176\u8f68\u8ff9\u53ef\u4ee5\u7528\u4ee5\u4e0b\u51fd\u6570\u8868\u793a\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-9124ad4bc986e46f99678ea39abbd596_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h(x) = -0,025x^2+2x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"203\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50<\/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-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6807\u67aa\u8986\u76d6\u7684\u7c73\u6570\u662f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14b463d0ecd5b350ced6cf1d6a12eef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5b83\u7684\u9ad8\u5ea6\uff08\u4e5f\u4ee5\u7c73\u4e3a\u5355\u4f4d\uff09\u3002<\/p>\n<p>\u6807\u67aa\u7684\u6700\u5927\u9ad8\u5ea6\u662f\u591a\u5c11\uff1f <\/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\">\u8fd9\u662f\u4e00\u4e2a\u4e8c\u6b21\u51fd\u6570\uff0c\u56e0\u6b64\u6807\u67aa\u7684\u8f68\u8ff9\u5c06\u662f\u4e00\u6761\u629b\u7269\u7ebf\u3002<\/p>\n<p class=\"has-text-align-left\">\u53e6\u5916\uff0c\u7531\u4e8e\u4e8c\u6b21\u9879\u7684\u7cfb\u6570\u4e3a\u8d1f\uff08-0.025\uff09\uff0c\u56e0\u6b64\u629b\u7269\u7ebf\u5c06\u5448\u5012U\u5f62\uff0c\u5e76\u4e14\u5176\u5206\u652f\u5c06\u5411\u4e0b\u3002\u56e0\u6b64\uff0c\u6807\u67aa\u5c06\u5728\u9876\u90e8\u8fbe\u5230\u6700\u5927\u9ad8\u5ea6\uff0c\u56e0\u4e3a\u8fd9\u5c06\u662f\u629b\u7269\u7ebf\u7684\u6700\u9ad8\u70b9\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u629b\u7269\u7ebf\u9876\u70b9\u7684\u6a2a\u5750\u6807\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-07e71d291cd16f48045ef0f2f184fd32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-2}{2\\cdot (-0,025)} = \\cfrac{-2}{-0,05} = 40\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"299\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7136\u540e\u6211\u4eec\u901a\u8fc7\u8bc4\u4f30\u51fd\u6570\u6765\u8ba1\u7b97\u6b64\u65f6\u6807\u67aa\u7684\u9ad8\u5ea6<\/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-6a547927c07de2d21e35a28a03a13ad2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=40:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"60\" 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-e03890524ba1ae9c5c40bc3a07f49511_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h(40) = -0,025\\cdot (40)^2+2\\cdot 40+2 = 42\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"307\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6807\u67aa\u53ef\u4ee5\u8fbe\u5230\u7684\u6700\u5927\u9ad8\u5ea6\u4e3a 42 \u7c73\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e608<\/h3>\n<p>\u89e3\u51b3\u4ee5\u4e0b\u6709\u5173\u4e8c\u6b21\u51fd\u6570\u7684\u95ee\u9898\uff1a<\/p>\n<p>\u516c\u53f8\u7684\u751f\u4ea7\u6210\u672c\uff08\u4ee5\u6b27\u5143\u4e3a\u5355\u4f4d\uff09\u7531\u4ee5\u4e0b\u51fd\u6570\u5b9a\u4e49\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-56d12a49461c15a22fb08ddaebb62e9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(q)=40000+20q+q^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"189\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50<\/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-ac7da57d7f507262338bb5168feb3e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u751f\u4ea7\u7684\u5355\u4f4d\u3002<\/p>\n<p>\u6bcf\u5957\u552e\u4ef7\u4e3a 520 \u6b27\u5143\u3002<\/p>\n<ul>\n<li>\u5982\u679c\u9500\u552e 150 \u53f0\uff0c\u516c\u53f8\u5c06\u83b7\u5f97\u591a\u5c11\u5229\u6da6\uff1f<\/li>\n<li>\u5e94\u8be5\u51fa\u552e\u591a\u5c11\u5355\u4f4d\u624d\u80fd\u83b7\u5f97\u6700\u5927\u5229\u6da6\uff1f <\/li>\n<\/ul>\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\">\u8be5\u516c\u53f8\u6bcf\u552e\u51fa\u4e00\u4ef6\u4ea7\u54c1\u5373\u53ef\u8d5a\u53d6 520 \u6b27\u5143\u3002\u56e0\u6b64\uff0c\u5b9a\u4e49\u6536\u5165\u7684\u51fd\u6570\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-63d0ddca6dbabb334734ab4237be3e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"I(q)=520\\cdot q = 520q\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"162\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u91d1\u5b50<\/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-ac7da57d7f507262338bb5168feb3e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u5df2\u552e\u51fa\u7684\u5355\u4f4d\u3002<\/p>\n<p class=\"has-text-align-left\">\u4f46\u4ed6\u4eec\u95ee\u6211\u4eec\u5229\u6da6\uff0c\u5373\u6536\u5165\u51cf\u53bb\u6210\u672c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u51cf\u53bb\u6536\u5165\u51cf\u53bb\u6210\u672c\u4ee5\u83b7\u5f97\u63cf\u8ff0\u516c\u53f8\u5229\u6da6\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-8ddf6cb21f2e6c8ff0e6f7f8bc156b7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(q)=I(q)-C(q)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"149\" 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-846ac3b3a0fe227a1753a0eebc5eb5ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(q)=520q - (40000+20q+q^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"260\" 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-402c374248bad2289ed95378a3a40fa1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(q)=520q - 40000-20q-q^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" 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-6409f4ec7006749f7bcce2f9f7dab978_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(q)=-q^2 + 500q - 40000\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"214\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u63cf\u8ff0\u516c\u53f8\u5229\u6da6\u7684\u51fd\u6570\uff0c\u53ea\u9700\u5c06 150 \u4ee3\u5165\u51fd\u6570\u8868\u8fbe\u5f0f\u5373\u53ef\u8ba1\u7b97\u516c\u53f8\u51fa\u552e 150 \u5355\u4f4d\u5c06\u83b7\u5f97\u7684\u5229\u6da6\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-9f5e6f3101145bcf1a2ece4db3e07c4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} B(150) &amp; =-(150)^2 + 500\\cdot 150 - 40000 \\\\[2ex] &amp; =  -22500+75000 - 40000 \\\\[2ex] &amp; = \\bm{12500} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"294\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u901a\u8fc7\u9500\u552e 150 \u53f0\uff0c\u516c\u53f8\u5c06\u83b7\u5f97 12,500 \u6b27\u5143\u7684\u5229\u6da6\u3002<\/p>\n<p class=\"has-text-align-left\">\u8be5\u58f0\u660e\u8fd8\u8981\u6c42\u6211\u4eec\u8ba1\u7b97\u83b7\u5f97\u6700\u5927\u5229\u6da6\u7684\u5355\u4f4d\u6570\u3002<\/p>\n<p class=\"has-text-align-left\">\u63cf\u8ff0\u5229\u6da6\u7684\u51fd\u6570\u662f\u4e8c\u6b21\u51fd\u6570\uff0c\u56e0\u6b64\u5b83\u5c06\u5177\u6709\u629b\u7269\u7ebf\u7684\u5f62\u72b6\u3002\u7531\u4e8e\u4e8c\u6b21\u9879\u7684\u7cfb\u6570\u4e3a\u8d1f\uff08-1\uff09\uff0c\u56e0\u6b64\u629b\u7269\u7ebf\u5c06\u5448\u5012 U \u5f62\uff0c\u5e76\u4e14\u5176\u5206\u652f\u5c06\u5411\u4e0b\u3002\u56e0\u6b64\uff0c\u6700\u5927\u6536\u76ca\u5c06\u5728\u9876\u90e8\u83b7\u5f97\uff0c\u56e0\u4e3a\u8fd9\u662f\u629b\u7269\u7ebf\u7684\u6700\u9ad8\u70b9\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u629b\u7269\u7ebf\u9876\u70b9\u7684\u6a2a\u5750\u6807\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-c2a67803a02dce4f27a39a9a39319734_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-500}{2\\cdot(-1)} = \\cfrac{-500}{-2} = 250\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"273\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u516c\u53f8\u5c06\u901a\u8fc7\u9500\u552e 250 \u53f0\u83b7\u5f97\u6700\u5927\u5229\u6da6\u3002<\/p>\n<p class=\"has-text-align-left\">\u53e6\u4e00\u65b9\u9762\uff0c\u5373\u4f7f\u65b0\u95fb\u7a3f\u6ca1\u6709\u8981\u6c42\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u786e\u5b9a\u51fa\u552e\u8fd9 250 \u5355\u4f4d\u5c06\u83b7\u5f97\u7684\u5229\u6da6\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-2823628ca7484d5baaa4e1b7b003cc41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(250) =-(250)^2 + 500\\cdot250- 40000= 22500\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"362\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u6b27\u5143<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p><strong><\/strong><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><strong> <\/strong><\/div>\n<p><strong><br \/><\/strong><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u9875\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u4e8c\u6b21\u51fd\u6570\u53ca\u5176\u6240\u6709\u7279\u5f81\uff1a\u66f2\u7387\u3001\u9876\u70b9\u3001\u4e0e\u8f74\u7684\u4ea4\u70b9\u7b49\u3002\u60a8\u8fd8\u5c06\u5b66\u4e60\u5982\u4f55\u5728\u56fe\u5f62\u4e0a\u8868\u793a\u4e8c\u6b21\u51fd\u6570\u3002\u6700\u540e\uff0c\u60a8\u53ef &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%ba%8c%e6%ac%a1%e6%8a%9b%e7%89%a9%e7%ba%bf%e5%87%bd%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u4e8c\u6b21\u51fd\u6570\u6216\u629b\u7269\u7ebf<\/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-7","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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