{"id":6,"date":"2023-09-17T11:17:38","date_gmt":"2023-09-17T11:17:38","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/"},"modified":"2023-09-17T11:17:38","modified_gmt":"2023-09-17T11:17:38","slug":"%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u627e\u5230\u4eff\u5c04\u51fd\u6570\u548c\u7ebf\u6027\u51fd\u6570\u7684\u89e3\u91ca\uff0c\u4ee5\u53ca\u8fd9\u4e24\u7c7b\u51fd\u6570\u4e4b\u95f4\u5b58\u5728\u7684\u5dee\u5f02\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u770b\u5230\u5982\u4f55\u7ed8\u5236\u4eff\u5c04\u51fd\u6570\u548c\u7ebf\u6027\u51fd\u6570\u7684\u56fe\u5f62\u4ee5\u53ca\u5982\u4f55\u4ece\u4e24\u70b9\u8ba1\u7b97\u5b83\u4eec\u7684\u8868\u8fbe\u5f0f\u7684\u793a\u4f8b\u3002\u6700\u540e\uff0c\u60a8\u5c06\u80fd\u591f\u901a\u8fc7\u9010\u6b65\u89e3\u51b3\u7684\u51e0\u4e2a\u7ec3\u4e60\u8fdb\u884c\u8bad\u7ec3\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-afin-y-una-funcion-lineal\"><\/span>\u4ec0\u4e48\u662f\u4eff\u5c04\u51fd\u6570\u548c\u7ebf\u6027\u51fd\u6570\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4eff\u5c04\u51fd\u6570\u548c\u7ebf\u6027\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\"><strong>\u4eff\u5c04\u51fd\u6570<\/strong>\u662f\u4e00\u6b21\u591a\u9879\u5f0f\u51fd\u6570\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5728\u56fe\u5f62\u4e0a\u8868\u793a\u7684\u51fd\u6570\u662f\u4e00\u6761\u76f4\u7ebf\u3002\u76f8\u5173\u51fd\u6570\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1732952e15a6b2d8b3a238c55238db2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u76f4\u7ebf\u7684\u659c\u7387\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8fd9\u662f y \u8f74\u622a\u8ddd\uff0c\u5373\u51fd\u6570\u4e0e\u5782\u76f4\u8f74\u76f8\u4ea4\u7684\u4f4d\u7f6e\u3002<\/p>\n<\/div>\n<p>\u5728\u6570\u5b66\u4e2d\uff0c\u4eff\u5c04\u51fd\u6570\u5728\u7ebf\u6027\u4ee3\u6570\u4e2d\u4e5f\u79f0\u4e3a\u7ebf\u6027\u53d8\u6362\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\"><strong>\u7ebf\u6027\u51fd\u6570<\/strong>\u662f\u6ca1\u6709\u72ec\u7acb\u9879\u7684\u4eff\u5c04\u51fd\u6570\u3002\u56e0\u6b64\uff0c\u7ebf\u6027\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-2a49c9283eb692c32d4d6594620269ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u76f4\u7ebf\u7684\u659c\u7387\u3002<\/p>\n<\/div>\n<p>\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570\u7684\u5b9a\u4e49\u57df\u548c\u503c\u57df\uff08\u6216\u503c\u57df\uff09\u90fd\u662f\u5b9e\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-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<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a954b5c192478c3b7b14428ac8d5cbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-diferencia-entre-una-funcion-lineal-y-una-funcion-afin\"><\/span>\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570\u6709\u4ec0\u4e48\u533a\u522b\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u60a8\u5df2\u7ecf\u4e86\u89e3\u4e86\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570\u7684\u6982\u5ff5\uff0c\u60a8\u4f1a\u6ce8\u610f\u5230\u5b83\u4eec\u5f7c\u6b64\u975e\u5e38\u76f8\u4f3c\u3002\u7136\u800c\uff0c\u5b83\u4eec\u4e4b\u95f4\u7684\u4ee5\u4e0b\u533a\u522b\u975e\u5e38\u91cd\u8981\uff1a<\/p>\n<p>\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570\u4e4b\u95f4\u7684\u552f\u4e00\u533a\u522b\u5728\u4e8e\uff0c\u7ebf\u6027\u51fd\u6570\u6ca1\u6709\u72ec\u7acb\u9879\uff0c\u800c\u4eff\u5c04\u51fd\u6570\u7684\u622a\u8ddd\u7cfb\u6570 (n) \u59cb\u7ec8\u4e0d\u4e3a\u96f6 (0)\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-385\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"><strong>\u7ebf\u6027\u51fd\u6570<\/strong><\/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-2a49c9283eb692c32d4d6594620269ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" 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 has-text-color has-medium-font-size\" style=\"color:#1976d2\"><strong>\u7ebf\u6027\u51fd\u6570<\/strong><\/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-d1732952e15a6b2d8b3a238c55238db2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u8fd9\u610f\u5473\u7740<strong>\u7ebf\u6027\u51fd\u6570\u603b\u662f\u901a\u8fc7\u5750\u6807\u539f\u70b9<\/strong>\uff080,0\uff09\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u4eff\u5c04\u51fd\u6570\u6c38\u8fdc\u4e0d\u4f1a\u901a\u8fc7\u8be5\u70b9\uff0c\u56e0\u4e3a\u5b83\u7684\u622a\u8ddd\u4e0d\u4e3a 0\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/difference-entre-fonction-lineaire-et-fonction-affine.webp\" alt=\"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570\u6709\u4ec0\u4e48\u533a\u522b\uff1f\" class=\"wp-image-97\" width=\"400\" height=\"285\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"pendiente-y-ordenada-en-el-origen-de-una-funcion-lineal-o-afin\"><\/span>\u7ebf\u6027\u6216\u4eff\u5c04\u51fd\u6570\u7684\u659c\u7387\u548c y \u622a\u8ddd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u5206\u6790\u4eff\u5c04\u6216\u7ebf\u6027\u51fd\u6570\u7684\u793a\u4f8b\uff0c\u4ee5\u7406\u89e3\u672f\u8bed\u7684\u542b\u4e49<\/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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/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-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u659c\u7387\u548c y \u622a\u8ddd\u3002<\/p>\n<ul>\n<li>\u786e\u5b9a\u56fe\u4e2d\u6240\u793a\u51fd\u6570\u7684\u8868\u8fbe\u5f0f\uff0c\u5e76\u5c06\u5176\u5206\u7c7b\u4e3a\u7ebf\u6027\u51fd\u6570\u6216\u4eff\u5c04\u51fd\u6570\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u4e9b\u7c7b\u578b\u7684\u51fd\u6570\u9075\u5faa\u4ee5\u4e0b\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-d1732952e15a6b2d8b3a238c55238db2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-388\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/sens-pente-et-ordonnee-a-l-origine-fonction-lineaire-ou-affine-m-et-n.webp\" alt=\"\u8868\u793a\u659c\u7387\u548c y \u622a\u8ddd\u7ebf\u6027\u6216\u4eff\u5c04\u51fd\u6570 m \u548c n\" class=\"wp-image-98\" width=\"418\" height=\"448\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\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-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8fd9\u662f y \u8f74\u622a\u8ddd\uff0c\u5373\u51fd\u6570\u4e0e\u5782\u76f4 Y \u8f74\u76f8\u4ea4\u7684\u4f4d\u7f6e\u3002\u6240\u4ee5\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3d48be04aadb63e5661f86d0948d7553_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n=4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u53e6\u4e00\u8fb9\uff0c<\/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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u76f4\u7ebf\u7684\u659c\u7387\u3002 Y \u53ef\u4ee5\u901a\u8fc7\u5c06\u4e24\u70b9\u4e4b\u95f4\u7684<em>y<\/em>\u5dee\u503c\u9664\u4ee5\u8fd9\u4e24\u4e2a\u70b9\u4e4b\u95f4\u7684<em>x<\/em>\u5dee\u503c\u6765\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-8873a380186fcf86095bca15c8e96833_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{\\Delta y }{\\Delta x} = \\cfrac{3}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"101\" 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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8868\u793a<em>\u201c\u6bcf\u4e2a x \u589e\u52a0\u591a\u5c11 y\u201d<\/em> \uff0c\u56e0\u6b64\u5728\u672c\u4f8b\u4e2d\u51fd\u6570<em>\u201c\u6bcf\u4e2a 2x \u589e\u52a0 3y\u201d<\/em> \u3002<\/p>\n<\/div>\n<\/div>\n<p>\u603b\u4e4b\uff0c\u56fe\u4e2d\u8868\u793a\u7684\u4eff\u5c04\u51fd\u6570\u7684\u8868\u8fbe\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16ef154b129d3fb6b20a41ec0d38c930_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{f(x)=}\\frac{\\bm{3}}{\\bm{2}}\\bm{x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"107\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b64\u5916\uff0c\u7531\u4e8e y \u8f74\u622a\u8ddd\u975e\u96f6\uff0c\u56e0\u6b64\u5b83\u662f<strong>\u4eff\u5c04\u51fd\u6570<\/strong>\u3002<\/p>\n<p>\u4e0b\u9762\u6211\u4eec\u5411\u60a8\u5c55\u793a\u66f4\u591a\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570\u7684\u793a\u4f8b\uff0c\u4ee5\u5e2e\u52a9\u60a8\u52a0\u6df1\u7406\u89e3\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-fonctions-lineaires-et-affines.webp\" alt=\"\u7ebf\u6027\u548c\u4eff\u5c04\u51fd\u6570\u7684\u793a\u4f8b\" class=\"wp-image-100\" width=\"386\" height=\"382\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p>\u6b63\u5982\u60a8\u5728\u8fd9\u4e9b\u793a\u4f8b\u4e2d\u770b\u5230\u7684\uff0c\u659c\u7387\u8d8a\u5927\uff0c\u7ebf\u8d8a\u9661\uff0c\u56e0\u6b64\u51fd\u6570\u8d8a\u5927\u3002\u540c\u6837\uff0c\u659c\u7387\u7cfb\u6570\u51b3\u5b9a\u51fd\u6570\u7684\u589e\u957f\u6216\u4e0b\u964d\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u659c\u7387\u4e3a\u6b63\uff0c\u5219\u51fd\u6570<strong>\u9012\u589e<\/strong>\uff0c\u5373\u968f\u7740<em>x \u7684<\/em>\u589e\u5927\u800c\u589e\u5927\u3002<\/li>\n<li>\u5982\u679c\u659c\u7387\u4e3a\u8d1f\uff0c\u5219\u51fd\u6570<strong>\u9012\u51cf<\/strong>\uff0c\u5373\u968f\u7740<em>x \u7684<\/em>\u589e\u52a0\u800c\u51cf\u5c0f\u3002<\/li>\n<\/ul>\n<p>\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u901a\u8fc7\u4e24\u6761\u7ebf\u7684\u659c\u7387\u6765\u5224\u65ad\u5b83\u4eec\u662f\u5e73\u884c\u8fd8\u662f\u5782\u76f4\uff1a<\/p>\n<ul>\n<li>\u5f53\u4e24\u6761\u76f4\u7ebf\u5177\u6709\u76f8\u540c\u7684\u659c\u7387\u65f6\uff0c\u5b83\u4eec\u662f<strong>\u5e73\u884c\u7684<\/strong>\uff0c\u5373\u5b83\u4eec\u5728\u4efb\u4f55\u70b9\u90fd\u4e0d\u76f8\u4ea4\u6216\u5b8c\u5168\u76f8\u540c\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd2942bbc0cd70bab6eb307042d9697e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1 = m_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"70\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li>\u53e6\u4e00\u65b9\u9762\uff0c\u4e24\u6761\u7ebf\u662f<strong>\u5782\u76f4\u7684<\/strong>\uff0c\u4e5f\u5c31\u662f\u8bf4\u5b83\u4eec\u4ee5\u5782\u76f4\u89d2 (90\u00b0) \u76f8\u4ea4\uff0c\u5982\u679c\u5b83\u4eec\u7684\u659c\u7387\u5bf9\u5e94\u4e8e\u4ee5\u4e0b\u5173\u7cfb\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-d4b49ed21ffb9c69fda11072fcf982ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1 = -\\cfrac{1}{m_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"87\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-representar-una-funcion-afin-o-lineal\"><\/span>\u4eff\u5c04\u6216\u7ebf\u6027\u51fd\u6570\u7684\u8868\u793a\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8ba9\u6211\u4eec\u770b\u770b\u5982\u4f55\u4f7f\u7528\u793a\u4f8b\u6765\u7ed8\u5236\u4e00\u6b21\u51fd\u6570\u7684\u56fe\u5f62\u3002<\/p>\n<ul>\n<li>\u7ed8\u5236\u4ee5\u4e0b\u4eff\u5c04\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-dca0572b440601ddb5b528a0756584f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u521b\u5efa\u4e00\u4e2a<strong>\u503c\u6570\u7ec4\u3002<\/strong>\u4e3a\u6b64\uff0c\u6211\u4eec\u6388\u4e88\u6211\u4eec\u60f3\u8981\u7684\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-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>\u83b7\u5f97\u7684\u503c<\/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>:<\/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-dca0572b440601ddb5b528a0756584f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-391\">\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-c8ac84d67d3aac1aed17811791011ad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0) = 2\\cdot0-1=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" 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-a22669dbeb064858cef0cae657407117_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1) = 2\\cdot1-1=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"242\" 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-a92a82278b7484dbb13e87bbdb66a28d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2) = 2\\cdot2-1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"243\" 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-c0809f5fecaf91c81f4f677ba608a0e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3) = 2\\cdot3-1=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"242\" 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-29397a3b67142b737a56db3bffb52d68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4) = 2\\cdot4-1=7\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"243\" 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-6a5b457023582bcda44b49a7b32e51fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; -1 \\\\ 1 &amp; 1 \\\\ 2 &amp; 3 \\\\ 3 &amp; 5 \\\\ 4 &amp; 7 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u867d\u7136\u6709\u4e24\u4e2a\u70b9\u7684\u503c\u8868\u5c31\u8db3\u591f\u4e86\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u505a\u66f4\u591a\u7684\u70b9\u6765\u786e\u4fdd\u5b83\u662f\u6b63\u786e\u7684\u3002<\/p>\n<p>\u521b\u5efa\u503c\u8868\u540e\uff0c\u6211\u4eec\u5728\u56fe\u8868\u4e0a\u7ed8\u5236\u70b9\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-representer-une-ligne-ou-une-fonction-lineaire-ou-et-affine.webp\" alt=\"\u5982\u4f55\u8868\u793a\u76f4\u7ebf\u6216\u7ebf\u6027\u51fd\u6570\u6216\u548c\u4eff\u5c04\" class=\"wp-image-102\" width=\"271\" height=\"324\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p>\u6700\u540e\uff0c<strong>\u6211\u4eec\u8fde\u63a5\u8fd9\u4e9b\u70b9\u5e76\u753b\u4e00\u6761\u7ebf\uff1a<\/strong> <\/p>\n<figure class=\"wp-block-image 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-lineaire-ou-ou-et-affine.webp\" alt=\"\u7ebf\u6027\u6216\u4eff\u5c04\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a\" class=\"wp-image-103\" width=\"271\" height=\"330\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<p>\u8fd9\u6837\uff0c\u6211\u4eec\u5c31\u5df2\u7ecf\u5728\u56fe\u4e0a\u8868\u793a\u4e86\u8be5\u51fd\u6570\u3002 <strong>&nbsp;<\/strong>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u8fd9\u5e76\u4e0d\u590d\u6742\uff0c\u60a8\u53ea\u9700\u9996\u5148\u5236\u4f5c\u4e00\u4e2a\u503c\u8868\uff0c\u7136\u540e\u5c06\u70b9\u7ed8\u5236\u5728\u56fe\u8868\u4e0a\u5373\u53ef\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-una-funcion-lineal-o-afin-a-partir-de-dos-puntos\"><\/span>\u5982\u4f55\u4ece\u4e24\u70b9\u8ba1\u7b97\u7ebf\u6027\u6216\u4eff\u5c04\u51fd\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u4ece\u4e24\u70b9\u627e\u5230\u7ebf\u6027\u6216\u4eff\u5c04\u51fd\u6570\uff1a<\/p>\n<ul>\n<li>\u8ba1\u7b97\u6ee1\u8db3\u7684\u7ebf\u6027\u51fd\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dcaf3e57f968a5585f1fe8f7e07016e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5e76\u56de\u987e\u8fd9\u4e00\u70b9<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f59d9c3d732b06d58e1cd9513069cc4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,-1).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u9996\u5148\uff0c<\/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-dcaf3e57f968a5585f1fe8f7e07016e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u8fd9\u610f\u5473\u7740\u51fd\u6570\u901a\u8fc7\u70b9<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f8369540798772faed784207e58ae55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u7531\u4e8e\u6211\u4eec\u6709\u51fd\u6570\u7ecf\u8fc7\u7684\u4e24\u4e2a\u70b9\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u659c\u7387<\/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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u529f\u80fd\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\">\u8003\u8651\u5230\u4e24\u70b9\uff0c<\/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-d6f312097ed9f1bcf614aae0044c7765_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1=(x_1,y_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -5px;\"><\/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-6feb628a7385a800d321cbc982c2bcae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_2=(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -5px;\"><\/p>\n<p>, \u5761\u5ea6<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8ba1\u7b97\u51fd\u6570\u7684\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-4a88e2c28902f606d97c18ba771d9c76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"99\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<\/div>\n<p>\u5728\u6211\u4eec\u7684\u4f8b\u5b50\u4e2d\uff0c\u51fd\u6570\u901a\u8fc7\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-8f8369540798772faed784207e58ae55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/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-1cc5fe781d8432f7ebfcf92c0ed07e91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3002\u6240\u4ee5\u5761\u5ea6<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8be5\u51fd\u6570\u7684\u503c\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-02ea1d529b499f171f3ff18c468d0cf5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}=\\cfrac{-1-5}{1-3} = \\cfrac{-6}{-2} = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"274\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u7684\u5f62\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-f800c39c0283b89e9c100f86ac3aa569_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = mx+n \\ \\xrightarrow{m \\ = \\ 3} \\ f(x)=3x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"300\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u77e5\u9053<\/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-6b41df788161942c6f98604d37de8098_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u89e3\u5f00\u8fd9\u4e2a\u8c1c\u56e2<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u5c5e\u4e8e\u8be5\u51fd\u6570\u7684\u70b9\u7684\u5750\u6807\u4ee3\u5165\u65b9\u7a0b\u4e2d\u3002\u4f8b\u5982\u70b9\uff083.5\uff09\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-111cff72f16afeb14bf0adc34ea12722_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 3x+n \\ \\xrightarrow{x \\ = \\ 3 \\ ; \\ f(x) \\ = \\ 5} \\ 5=3\\cdot 3+n\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"346\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a383ecabacc56c374f2632b3309e646_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5=3\\cdot 3+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"96\" 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-4acdfe704344eeccbb4c0ce2aa8cb6d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5= 9 + n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"74\" 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-cc095accd2a13223af51801296862fac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5-9=n\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"74\" 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-0d38777454deed26667e36a226cc6770_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-4=n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u7ebf\u6027\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-990c0a75a513e5f8d6669ce748eecd63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)=3x-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-lineales-y-afines\"><\/span>\u89e3\u51b3\u4e86\u7ebf\u6027\u548c\u4eff\u5c04\u51fd\u6570\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u786e\u5b9a\u4ee5\u4e0b\u4eff\u5c04\u51fd\u6570\u7684\u659c\u7387\u548c\u539f\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-9ff1c8dfeb32e0c75d6ecb9acbef4151_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-5x-2\" 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\">\u7ebf\u6027\u51fd\u6570\u7684\u5f62\u5f0f\u4e3a<\/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-3095199eaa883b4a577420057f14c9bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u51fd\u6570\u7684\u659c\u7387\u662f<em>x<\/em>\u9644\u5e26\u7684\u6570\u5b57\uff0c\u5728\u672c\u4f8b\u4e2d\u4e3a -5\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-838d2dc7b4e31dfa890c7bf46cf4c659_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{m=-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> y \u8f74\u622a\u8ddd\u662f\u72ec\u7acb\u9879\uff0c\u5728\u672c\u4f8b\u4e2d\u4e3a -2\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-225005765465b924bc63ee2dac575ee4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{n=-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" 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>\u7ed8\u5236\u4ee5\u4e0b\u4eff\u5c04\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-4ca04971231d90bc195d20cebd45226d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" 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\u8d4b\u4e88\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-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>\u521b\u5efa\u503c\u8868\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-394\">\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-8ffd3e516a1e47332c5458d96e0abc2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=0+1 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" 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-3256a22f5e49068792b52a4cb3f32e1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=1+1= 2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" 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-d5eaf1ca05c3eeb0614616a12d4faf5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=2+1 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"222\" 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-a4711b4b555b2beb6e1e65069045c827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=3+1 = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"222\" 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-3fd5f740b4ded3fb539f40bc4ff22598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=4+1 = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" 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-07a0daee6d389ad38ae336953e74212e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; 1 \\\\ 1 &amp; 2 \\\\ 2 &amp; 3 \\\\ 3 &amp; 4 \\\\ 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 class=\"has-text-align-left\">\u7136\u540e\u6211\u4eec\u5728\u56fe\u8868\u4e0a\u8868\u793a\u6570\u503c\u8868\u4e2d\u7684\u70b9\u5e76\u7ed8\u5236\u7ebf\u6761\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-representation-d-une-fonction-lineaire-ou-affine.webp\" alt=\"\u7ebf\u6027\u6216\u4eff\u5c04\u51fd\u6570\u7684\u793a\u4f8b\" class=\"wp-image-104\" width=\"298\" height=\"300\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u5728\u56fe\u4e0a\u7ed8\u5236\u4ee5\u4e0b\u4eff\u5c04\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-4272bc4942f138baaa519097437b2bd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-2x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"122\" 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\u8d4b\u4e88\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-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>\u521b\u5efa\u503c\u8868\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-397\">\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-82c245e8a3c6926ba0fd3319d5d11e22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=-2\\cdot0+6=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"257\" 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-8d4fbcfc157e581eef387c5ae9524207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=-2\\cdot1+6=4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"257\" 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-64cea2a0c5df62d57ddd291a031bf2c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=-2\\cdot2+6=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" 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-0ee8f2f12cb377010e2b1edc1740551d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=-2\\cdot3+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"257\" 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-d8a970fcd4aabe974e7b43143e1c1662_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=-2\\cdot4+6=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"270\" 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-9ae65b37659a4f19b4ff406cf985c52f_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 \\\\ 3 &amp; 0 \\\\ 4 &amp; -2 \\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\u8868\u793a\u6570\u503c\u8868\u4e2d\u7684\u70b9\u5e76\u7ed8\u5236\u7ebf\u6761\uff1a <\/p>\n<figure class=\"wp-block-image 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-lineaire-et-affine.webp\" alt=\"\u9010\u6b65\u89e3\u51b3\u7ebf\u6027\u548c\u4eff\u5c04\u51fd\u6570\u7684\u7ec3\u4e60\" class=\"wp-image-105\" width=\"285\" height=\"330\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u6c42\u901a\u8fc7\u70b9 (2,3) \u548c (0,1) \u7684\u4eff\u5c04\u51fd\u6570\u7684\u8868\u8fbe\u5f0f\u3002 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8be5\u51fd\u6570\u7ecf\u8fc7\u70b9 (2,3) \u548c (0,1)\uff0c\u56e0\u6b64\u51fd\u6570\u7684\u659c\u7387\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-f4f10490753a418b0601db00acb61a8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}= \\cfrac{1-3}{0-2} =  \\cfrac{-2}{-2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"251\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8be5\u51fd\u6570\u7684\u5f62\u5f0f\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80174e7bf0ea29ddc23f7bca21ec46e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n \\ \\xrightarrow{m \\ = \\ 1} \\ f(x)=1x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"300\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053<em>m \uff0c<\/em>\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba1\u7b97<em>n<\/em> \u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u9700\u8981\u5c06\u5c5e\u4e8e\u8be5\u51fd\u6570\u7684\u70b9\u7684\u5750\u6807\u4ee3\u5165\u65b9\u7a0b\u4e2d\u3002\u4f8b\u5982\u70b9(2,3)\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-ffadb24154a49ca4808fad52f6330a98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x+n \\ \\xrightarrow{x \\ = \\ 2 \\ ; \\ f(x) \\ = \\ 3}\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"230\" style=\"vertical-align: -5px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1e5cb38630c489d48c4adb35288c325a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3=2+n\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"74\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u73b0\u5728\u5fc5\u987b\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82a2b13b17155458c1cfbc94d8a6f88c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3-2=n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"74\" 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-f995cf70a3bdfa97f5e6e43d1eb07e79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1 = n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u5bf9\u5e94\u4e8e\u4ee5\u4e0b\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-29c9618eec0cecf4ff1e3f05777f2a63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)=x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" 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\u4e605<\/h3>\n<p>\u7ed8\u5236\u4ee5\u4e0b\u4eff\u5c04\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-dca0572b440601ddb5b528a0756584f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"107\" 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\u8d4b\u4e88\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-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>\u521b\u5efa\u503c\u8868\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-400\">\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-27331248cc252b7e2a6be76fde869f0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=2\\cdot0-1=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"256\" 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-d6116a53149febdbcded873f845f0446_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=2\\cdot1-1=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"242\" 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-93fea3471744dd8e7edff0fef0911358_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=2\\cdot2-1=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"243\" 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-082c427704a99dd49b676178475e0e8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=2\\cdot3-1=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"242\" 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-ee4ce2e65971139e1148bcc04f5156dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=2\\cdot4-1=7\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"243\" 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-6a5b457023582bcda44b49a7b32e51fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; -1 \\\\ 1 &amp; 1 \\\\ 2 &amp; 3 \\\\ 3 &amp; 5 \\\\ 4 &amp; 7 \\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\">\u7136\u540e\u6211\u4eec\u5728\u56fe\u8868\u4e0a\u8868\u793a\u6570\u503c\u8868\u4e2d\u7684\u70b9\u5e76\u7ed8\u5236\u7ebf\u6761\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-pour-representer-graphiquement-une-fonction-lineaire-ou-affine.webp\" alt=\"\u89e3\u51b3\u4e86\u7ed8\u5236\u7ebf\u6027\u6216\u4eff\u5c04\u51fd\u6570\u56fe\u5f62\u7684\u7ec3\u4e60\" class=\"wp-image-106\" width=\"288\" height=\"332\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e606<\/h3>\n<p>\u8ba1\u7b97\u6ee1\u8db3\u4ee5\u4e0b\u4e24\u4e2a\u6761\u4ef6\u7684\u7ebf\u6027\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-a3d1692f49f622f3167c7b58da6553eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(3) =-2 \\\\[3ex] f(-1)=6 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"80\" style=\"vertical-align: 0px;\"><\/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\">\u613f\u5b83\u6210\u771f<\/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-de991e61c8f0c76be20d28dcd3b5ec63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3)=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u8fd9\u610f\u5473\u7740\u51fd\u6570\u901a\u8fc7\u70b9(3,-2)\u3002\u5e76\u4e14\uff0c\u4ee5\u540c\u6837\u7684\u65b9\u5f0f\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08e6a3dd72034cf812c9ec3371bccbb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1)=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"80\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u8fd9\u610f\u5473\u7740\u51fd\u6570\u901a\u8fc7\u70b9 (-1.6)\u3002<\/p>\n<p class=\"has-text-align-left\">\u6240\u4ee5\u51fd\u6570\u7ecf\u8fc7\u70b9(3,-2)\u548c(-1,6)\uff0c\u6240\u4ee5\u5b83\u7684\u659c\u7387\u662f\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-509c7a10c079fd4147be9e5a6db9731f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}= \\cfrac{6-(-2)}{-1-3} =  \\cfrac{8}{-4} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"285\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u7684\u5f62\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-1833407e00cf7092ca41513f80c963e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n \\ \\xrightarrow{m \\ = \\ -2} \\ f(x)=-2x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"324\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053<em>m \uff0c<\/em>\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba1\u7b97<em>n<\/em> \u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u5c5e\u4e8e\u8be5\u51fd\u6570\u7684\u70b9\u7684\u5750\u6807\u4ee3\u5165\u65b9\u7a0b\u4e2d\u3002\u4f8b\u5982\u70b9(3,-2)\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-f5c91af073f3a11f71681315cba7d3ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-2x+n \\ \\xrightarrow{x \\ = \\ 3 \\ ; \\ f(x) \\ = \\ -2} \\ -2=-2(3)+n\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"399\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-56b34b13f1ca6690edf49b273faf8e47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2=-6+n\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"101\" 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-35e58196fb8bcc421558f84060bc0abe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2+6=n\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"87\" 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-bafe7c1342021b2f12487ec1b624d9e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4 = n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"44\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\u8be5\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-2817bf14204167be08e3289249900e05_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)=-2x+4}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"122\" 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\u4e607<\/h3>\n<p>\u627e\u5230\u5b83\u6267\u884c\u7684\u4eff\u5c04\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-7752d35fe272bb4d90b00bf9985ffb63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1) =6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5e76\u7ecf\u8fc7\u70b9(3.5)\u3002 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u613f\u5b83\u6210\u771f<\/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-87c967e7ae983729b88590e501c2b69d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u8fd9\u610f\u5473\u7740\u51fd\u6570\u901a\u8fc7\u70b9 (1,6)\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u901a\u8fc7\u70b9 (1.6) \u548c (3.5)\uff0c\u56e0\u6b64\u5176\u659c\u7387\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-25be93e89790b6ff41c7ad200b22475d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}= \\cfrac{5-6}{3-1} =  \\cfrac{-1}{2} = -\\cfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"268\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u7684\u5f62\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-357e8e8231ddfc481d6cab7afd462b29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=mx+n \\ \\xrightarrow{m \\ = \\ -\\frac{1}{2}} \\ f(x)=-\\frac{1}{2}x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"331\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86<em>m<\/em>\u9879\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba1\u7b97\u7cfb\u6570<em>n<\/em> \u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u5c5e\u4e8e\u8be5\u51fd\u6570\u7684\u70b9\u7684\u5750\u6807\u4ee3\u5165\u65b9\u7a0b\u4e2d\u3002\u4f8b\u5982\u70b9(1,6)\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-e29097997af1faaad2a3cf090735e93b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=-\\frac{1}{2}x+n \\ \\xrightarrow{x \\ = \\ 1 \\ ; \\ f(x) \\ = \\ 6} \\ 6=-\\frac{1}{2}\\cdot 1+n\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"382\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-408ca3818c086b1dce8b47368a15bfd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6=-\\cfrac{1}{2}+n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"90\" 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-972080f9f560be2c94e6d60ceb4b68f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6+\\cfrac{1}{2}=n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"76\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8bf7\u8bb0\u4f4f\uff0c\u8981\u6dfb\u52a0\u5206\u6570\uff0c\u60a8\u5fc5\u987b\u9996\u5148\u5c06\u5b83\u4eec\u51cf\u5c11\u5230\u516c\u5206\u6bcd\uff0c\u7136\u540e\u6dfb\u52a0\u5206\u5b50\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-b0fdf111f0ee471be66bf09dedb3113f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2 \\cdot 6}{2} +\\cfrac{1 \\cdot 1}{2}=n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"119\" 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-4bcf8f895f3b9dbc94eeb771599de7a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{12}{2} +\\cfrac{1}{2}=n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"85\" 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-ce0c299c5e810194441adaaa77052141_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{13}{2}=n\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"52\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\u8be5\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-5d52b77879b38c968ace696be9d9d8bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{f(x)=-}\\mathbf{\\frac{1}{2}}\\bm{x +}\\mathbf{\\frac{13}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"133\" style=\"vertical-align: -12px;\"><\/p>\n<\/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\u4e0e\u7ebf\u6027\u548c\u4eff\u5c04\u51fd\u6570\u76f8\u5173\u7684\u95ee\u9898\uff1a<\/p>\n<p>\u5f53\u4ef7\u683c\u4e3a 15 \u6b27\u5143\/\u4ef6\u65f6\uff0c\u5546\u5e97\u9500\u552e 40 \u4ef6\u4ea7\u54c1\uff1b\u5f53\u4ef7\u683c\u4e3a 10 \u6b27\u5143\/\u4ef6\u65f6\uff0c\u5546\u5e97\u9500\u552e 65 \u4ef6\u3002<\/p>\n<ul>\n<li>\u8ba1\u7b97\u4ea7\u54c1\u7684\u9700\u6c42\u51fd\u6570\uff0c\u5047\u8bbe\u5b83\u662f\u4eff\u5c04\u51fd\u6570\u3002<\/li>\n<li>\u5982\u679c\u4ef7\u683c\u5b9a\u4e3a 12 \u6b27\u5143\/\u4ef6\uff0c\u5c06\u4f1a\u552e\u51fa\u591a\u5c11\u4ef6\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\">\u7531\u4e8e\u5b83\u662f\u4eff\u5c04\u51fd\u6570\uff0c\u56e0\u6b64\u8be5\u51fd\u6570\u7684\u7c7b\u578b\u4e3a<\/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-3095199eaa883b4a577420057f14c9bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" 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-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\u4ea7\u54c1\u7684\u5355\u4ef7\uff0c<\/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>\u5c06\u662f\u5df2\u552e\u51fa\u7684\u5355\u4f4d\u3002<\/p>\n<p class=\"has-text-align-left\">\u65b0\u95fb\u7a3f\u544a\u8bc9\u6211\u4eec\uff0c\u5f53\u4ef7\u683c\u4e3a 15 \u6b27\u5143\/\u4ef6\u65f6\uff0c\u5df2\u552e\u51fa 40 \u4ef6\u3002\u56e0\u6b64\uff0c\u4f5c\u4e3a<\/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\u4ef7\u683c\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>\u9500\u552e\u5355\u4f4d\u65f6\uff0c\u5fc5\u987b\u9075\u5b88\u4ee5\u4e0b\u5e73\u7b49\u539f\u5219\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-30c972565ef68f3789b5e1b1e105b66b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(15)=40\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5f53\u4ef7\u683c\u4e3a 10 \u6b27\u5143\/\u4ef6\u65f6\uff0c\u5df2\u552e\u51fa 65 \u4ef6\u3002\u56e0\u6b64\uff0c\u4f7f\u7528\u76f8\u540c\u7684\u63a8\u7406\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-0c374f04a1aa91c4595ced5978e19ec0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(10)=65\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u613f\u5b83\u6210\u771f<\/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-30c972565ef68f3789b5e1b1e105b66b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(15)=40\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u8fd9\u610f\u5473\u7740\u51fd\u6570\u901a\u8fc7\u70b9 (15.40)\u3002\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0c374f04a1aa91c4595ced5978e19ec0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(10)=65\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u8fd9\u610f\u5473\u7740\u51fd\u6570\u901a\u8fc7\u70b9 (10.65)\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\u51fd\u6570\u7684\u659c\u7387\u662f\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-19d12bc43ba65997543514a46a424301_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=\\cfrac{y_2-y_1}{x_2-x_1}= \\cfrac{65-40}{10-15} =  \\cfrac{25}{-5} = -5\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"275\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u51fd\u6570\u7684\u5f62\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-c653a8902579c75163dfb0efa71a9c2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=mx+n \\ \\xrightarrow{m \\ = \\ -5} \\ f(x)=-5x+n\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"324\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053<em>m \uff0c<\/em>\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba1\u7b97<em>n<\/em> \u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u5c5e\u4e8e\u8be5\u51fd\u6570\u7684\u70b9\u7684\u5750\u6807\u4ee3\u5165\u65b9\u7a0b\u4e2d\u3002\u4f8b\u5982\u70b9\uff08\u4e0b\u5348 3:40\uff09\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-f043edeab26099d2c05be4109b39e4e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-5x+n \\ \\xrightarrow{x \\ = \\ 15 \\ ; \\ f(x) \\ = \\ 40} \\ 40=-5\\cdot 15+n\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"405\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9d17b5b0000974efdedcaddc0c0e7404_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"40=-75+n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"106\" 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-8f40a79e7be9eb350f20e18fcfe08675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"40+75=n\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"92\" 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-be394c1a643fe670a57cd4c371148bbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"115 = n\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"60\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u5c06\u9500\u552e\u989d\u4e0e\u4ef7\u683c\u8054\u7cfb\u8d77\u6765\u7684\u51fd\u6570\u662f\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-2d1f8a22eae1bc5a4f7de6429df736e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)=-5x+115}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u53e6\u4e00\u65b9\u9762\uff0c\u5728\u51fd\u6570\u4e2d<\/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>\u4ee3\u8868\u4ef7\u683c\u3002\u56e0\u6b64\uff0c\u8981\u77e5\u9053\u5982\u679c\u4ef7\u683c\u4e3a 12 \u6b27\u5143\/\u5355\u4f4d\uff0c\u5c06\u552e\u51fa\u591a\u5c11\u5355\u4f4d\uff0c\u6211\u4eec\u5fc5\u987b\u8ba1\u7b97<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de2b2b66a522f43df538a99d24f91a2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(12):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5d1377b45096930b54887788e3890d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-5x+115 \\ \\xrightarrow{x \\ = \\ 12} \\ f(12)=-5\\cdot 12+115\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"382\" 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-72ca5e4fc71841fca17d0fa3281805e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(12)=-60+115\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"145\" 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-7de4fca9d520f20befbecd9d1234bfc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(12)=\\bm{55}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u5982\u679c\u4ef7\u683c\u4e3a 12 \u6b27\u5143\/\u5355\u4f4d<strong>\uff0c\u5219\u5c06\u552e\u51fa 55 \u5355\u4f4d\u3002<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u627e\u5230\u4eff\u5c04\u51fd\u6570\u548c\u7ebf\u6027\u51fd\u6570\u7684\u89e3\u91ca\uff0c\u4ee5\u53ca\u8fd9\u4e24\u7c7b\u51fd\u6570\u4e4b\u95f4\u5b58\u5728\u7684\u5dee\u5f02\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u770b\u5230\u5982\u4f55\u7ed8\u5236\u4eff\u5c04\u51fd\u6570\u548c\u7ebf &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\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-6","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570 -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u7ebf\u6027\u548c\u4eff\u5c04\u51fd\u6570\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570 -\" \/>\n<meta property=\"og:description\" content=\"\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u627e\u5230\u4eff\u5c04\u51fd\u6570\u548c\u7ebf\u6027\u51fd\u6570\u7684\u89e3\u91ca\uff0c\u4ee5\u53ca\u8fd9\u4e24\u7c7b\u51fd\u6570\u4e4b\u95f4\u5b58\u5728\u7684\u5dee\u5f02\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u770b\u5230\u5982\u4f55\u7ed8\u5236\u4eff\u5c04\u51fd\u6570\u548c\u7ebf &hellip; \u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570 \u67e5\u770b\u5168\u6587 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/cn\/\u7ebf\u6027\u548c\u4eff\u5c04\u51fd\u6570\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T11:17:38+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1732952e15a6b2d8b3a238c55238db2_l3.png\" \/>\n<meta name=\"author\" content=\"Mathority\u56e2\u961f\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority\u56e2\u961f\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/\"},\"author\":{\"name\":\"Mathority\u56e2\u961f\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\"},\"headline\":\"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570\",\"datePublished\":\"2023-09-17T11:17:38+00:00\",\"dateModified\":\"2023-09-17T11:17:38+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/\"},\"wordCount\":34,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"articleSection\":[\"\u51fd\u6570\u8868\u793a\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/\",\"url\":\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/\",\"name\":\"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570 -\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/#website\"},\"datePublished\":\"2023-09-17T11:17:38+00:00\",\"dateModified\":\"2023-09-17T11:17:38+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/cn\/#website\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"name\":\"Mathority\",\"description\":\"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/cn\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\",\"name\":\"Mathority\u56e2\u961f\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"Mathority\u56e2\u961f\"},\"sameAs\":[\"http:\/\/mathority.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570 -","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/cn\/\u7ebf\u6027\u548c\u4eff\u5c04\u51fd\u6570\/","og_locale":"zh_CN","og_type":"article","og_title":"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570 -","og_description":"\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u627e\u5230\u4eff\u5c04\u51fd\u6570\u548c\u7ebf\u6027\u51fd\u6570\u7684\u89e3\u91ca\uff0c\u4ee5\u53ca\u8fd9\u4e24\u7c7b\u51fd\u6570\u4e4b\u95f4\u5b58\u5728\u7684\u5dee\u5f02\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u770b\u5230\u5982\u4f55\u7ed8\u5236\u4eff\u5c04\u51fd\u6570\u548c\u7ebf &hellip; \u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570 \u67e5\u770b\u5168\u6587 &raquo;","og_url":"https:\/\/mathority.org\/cn\/\u7ebf\u6027\u548c\u4eff\u5c04\u51fd\u6570\/","article_published_time":"2023-09-17T11:17:38+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1732952e15a6b2d8b3a238c55238db2_l3.png"}],"author":"Mathority\u56e2\u961f","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Mathority\u56e2\u961f"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/"},"author":{"name":"Mathority\u56e2\u961f","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071"},"headline":"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570","datePublished":"2023-09-17T11:17:38+00:00","dateModified":"2023-09-17T11:17:38+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/"},"wordCount":34,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"articleSection":["\u51fd\u6570\u8868\u793a"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/","url":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/","name":"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570 -","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/#website"},"datePublished":"2023-09-17T11:17:38+00:00","dateModified":"2023-09-17T11:17:38+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%bb%bf%e5%b0%84%e5%87%bd%e6%95%b0\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u7ebf\u6027\u51fd\u6570\u548c\u4eff\u5c04\u51fd\u6570"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/cn\/#website","url":"https:\/\/mathority.org\/cn\/","name":"Mathority","description":"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01","publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/mathority.org\/cn\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/cn\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071","name":"Mathority\u56e2\u961f","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"Mathority\u56e2\u961f"},"sameAs":["http:\/\/mathority.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/6\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/media?parent=6"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/categories?post=6"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/tags?post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}