{"id":13,"date":"2023-09-17T11:11:42","date_gmt":"2023-09-17T11:11:42","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%8d%95%e4%bd%93%e9%99%a4%e6%b3%95%e9%99%a4%e6%b3%95%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0%e5%b7%b2%e8%a7%a3%e5%86%b3-1\/"},"modified":"2023-09-17T11:11:42","modified_gmt":"2023-09-17T11:11:42","slug":"%e5%8d%95%e4%bd%93%e9%99%a4%e6%b3%95%e9%99%a4%e6%b3%95%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0%e5%b7%b2%e8%a7%a3%e5%86%b3-1","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%8d%95%e4%bd%93%e9%99%a4%e6%b3%95%e9%99%a4%e6%b3%95%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0%e5%b7%b2%e8%a7%a3%e5%86%b3-1\/","title":{"rendered":"\u51fd\u6570\u53d8\u6362\uff1a\u5e73\u79fb\u3001\u5bf9\u79f0\u3001\u6269\u5c55\u548c\u538b\u7f29"},"content":{"rendered":"<p>\u672c\u9875\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u51fd\u6570\u8f6c\u6362\u4ee5\u53ca\u5982\u4f55\u627e\u5230\u5b83\u4eec\u3002\u53d8\u6362\u5206\u4e3a\u4e09\u79cd\u7c7b\u578b\uff1a\u5e73\u79fb\uff08\u6216\u4f4d\u79fb\uff09\u3001\u5bf9\u79f0\u548c\u6269\u5c55\uff08\u6216\u6536\u7f29\uff09\u3002\u60a8\u8fd8\u4f1a\u53d1\u73b0\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u6beb\u65e0\u7591\u95ee\u5730\u7ec3\u4e60\u548c\u7406\u89e3\u6982\u5ff5\u3002 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class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u65f6\uff0c\u6211\u4eec\u53ef\u80fd\u4f1a\u88ab\u8981\u6c42\u7ed8\u5236\u4e0e\u6211\u4eec\u5df2\u77e5\u7684\u5176\u4ed6\u51fd\u6570\u975e\u5e38\u76f8\u4f3c\u7684\u57fa\u672c\u51fd\u6570\u7684\u56fe\u8868\u3002\u90a3\u4e48\uff0c\u4e0d\u5fc5\u518d\u6b21\u8868\u793a\u76f8\u4f3c\u7684\u51fd\u6570\uff0c\u800c\u662f\u53ef\u4ee5\u4f7f\u7528\u6280\u672f\u8f7b\u677e\u5feb\u901f\u5730\u4ece\u8868\u793a\u4e00\u4e2a\u51fd\u6570\u5207\u6362\u5230\u53e6\u4e00\u4e2a\u51fd\u6570\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u51fd\u6570\u53d8\u6362<\/strong>\u662f\u4e00\u79cd\u6280\u672f\uff0c\u53ef\u4ee5\u901a\u8fc7\u521d\u7b49\u8fd0\u7b97\u4ece\u4e00\u4e2a\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a\u8f6c\u79fb\u5230\u53e6\u4e00\u4e2a\u975e\u5e38\u76f8\u4f3c\u7684\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a\u3002<\/p>\n<p>\u57fa\u672c\u4e0a\uff0c\u521d\u7b49\u51fd\u6570\u7684\u53d8\u6362\u5206\u4e3a\u4e09\u79cd\u7c7b\u578b\uff1a<\/p>\n<ul>\n<li><strong>\u5e73\u79fb\u6216\u79fb\u52a8<\/strong>\uff1a\u529f\u80fd\u53ef\u4ee5\u5782\u76f4\u548c\u6c34\u5e73\u79fb\u52a8\u3002<\/li>\n<li><strong>\u53cd\u5c04\u6216\u5bf9\u79f0<\/strong>\uff1a\u53ef\u4ee5\u4f7f\u7528 X \u8f74\u6216 Y \u8f74\u4f5c\u4e3a\u5bf9\u79f0\u8f74\u6765\u53cd\u5c04\u51fd\u6570\u3002<\/li>\n<li><strong>\u6269\u5c55\u548c\u538b\u7f29<\/strong>\uff1a\u51fd\u6570\u53ef\u4ee5\u88ab\u653e\u5927\u6216\u7f29\u5c0f\u3002<\/li>\n<\/ul>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u8f6c\u6362\u51fd\u6570\u7684\u6982\u5ff5\uff0c\u6211\u4eec\u5c06\u66f4\u6df1\u5165\u5730\u7814\u7a76\u6bcf\u79cd\u7c7b\u578b\u7684\u4fee\u6539\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"traslaciones-o-desplazamientos-de-funciones\"><\/span>\u529f\u80fd\u7684\u7ffb\u8bd1\u6216\u79fb\u52a8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6211\u4eec\u5c06\u4ece\u529f\u80fd\u8f6c\u53d8\u5f00\u59cb\u3002\u6709\u4e24\u79cd\u7c7b\u578b\uff1a\u5782\u76f4\u7ffb\u8bd1\u548c\u6c34\u5e73\u7ffb\u8bd1\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u51fd\u6570\u7684\u5e73\u79fb\u6216\u5782\u76f4\u79fb\u52a8<\/h3>\n<p>\u8981\u5782\u76f4\u5e73\u79fb\u6216\u79fb\u52a8\u51fd\u6570\uff08\u6cbf Y \u8f74\uff09\uff0c\u5fc5\u987b\u4e3a\u51fd\u6570\u6dfb\u52a0\u6216\u51cf\u53bb\u4e00\u4e2a\u5e38\u91cf\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\">\u6211\u4eec\u901a\u8fc7\u5c06 ka \u6dfb\u52a0\u5230\u51fd\u6570\u4e2d\u6765\u5c06\u51fd\u6570<strong>\u5411\u4e0a\u79fb\u52a8 k \u4e2a\u5355\u4f4d<\/strong>\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-d148ee17ffaab58b502ee771b74a931a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)+k}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u6211\u4eec\u901a\u8fc7\u4ece\u51fd\u6570\u4e2d\u51cf\u53bb<strong>ka \u5c06\u51fd\u6570\u5411\u4e0b\u79fb\u52a8 k \u4e2a\u5355\u4f4d<\/strong>\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-76021d6fef316019d46a849b31cb7ff5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x)-k}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/translation-ou-deplacement-vertical-d-une-fonction.webp\" alt=\"\u51fd\u6570\u7684\u5e73\u79fb\u6216\u5782\u76f4\u79fb\u52a8\" class=\"wp-image-314\" width=\"401\" height=\"334\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4ece\u56fe\u4e2d\u53ef\u4ee5\u770b\u51fa\uff0c\u5411\u4efb\u4f55\u51fd\u6570\u6dfb\u52a0\u5e38\u91cf\u90fd\u4f1a\u5411\u4e0a\u79fb\u52a8\u6dfb\u52a0\u7684\u5355\u4f4d\uff08\u7eff\u8272\u51fd\u6570\uff09\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5f53\u4ece\u51fd\u6570\u4e2d\u51cf\u53bb\u6570\u5b57\u65f6\uff0c\u51cf\u53bb\u7684\u5355\u4f4d\u4f1a\u5411\u4e0b\u79fb\u52a8\uff08\u7ea2\u8272\u51fd\u6570\uff09\u3002<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5728\u8fd9\u79cd\u7c7b\u578b\u7684\u8fd0\u52a8\u4e2d\uff0c\u4ec5\u529f\u80fd\u70b9\u7684 Y \u5750\u6807\u53d1\u751f\u53d8\u5316\uff0c\u800c X \u5750\u6807\u4fdd\u6301\u4e0d\u53d8\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u529f\u80fd\u7684\u5e73\u79fb\u6216\u6c34\u5e73\u79fb\u52a8<\/h3>\n<p>\u8981\u6c34\u5e73\u5e73\u79fb\u6216\u79fb\u52a8\u51fd\u6570\uff08\u6cbf X \u8f74\uff09\uff0c\u60a8\u5fc5\u987b\u4e3a\u81ea\u53d8\u91cf<em>x<\/em>\u6dfb\u52a0\u6216\u51cf\u53bb\u4e00\u4e2a\u5e38\u6570\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\">\u7684\u56fe\u8868<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-682fb180cfa4be390cf2d7735ddeb017_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x+k)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u7684\u56fe<\/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><strong>\u5411\u5de6\u79fb\u52a8 k \u4e2a\u5355\u4f4d\u3002<\/strong><\/p>\n<p style=\"text-align:left\">\u7684\u56fe\u8868<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7433764880a8f4ab8e11e3f162743b49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x-k)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u7684\u56fe<\/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><strong>\u5411\u53f3\u79fb\u52a8 k \u4e2a\u5355\u4f4d\u3002<\/strong> <\/p>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/translation-ou-deplacement-horizontal-d-une-fonction.webp\" alt=\"\u51fd\u6570\u7684\u5e73\u79fb\u6216\u6c34\u5e73\u79fb\u52a8\" class=\"wp-image-315\" width=\"504\" height=\"323\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4ece\u56fe\u4e2d\u53ef\u4ee5\u770b\u51fa\uff0c\u5f53\u76f4\u63a5\u5411\u53d8\u91cf<em>x<\/em>\u6dfb\u52a0\u5e38\u91cf\u65f6\uff0c\u8be5\u51fd\u6570\u4f1a\u5c06\u6dfb\u52a0\u7684\u5355\u4f4d\u5411\u5de6\u79fb\u52a8\uff08\u7ea2\u8272\u51fd\u6570\uff09\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5f53\u4ece\u53d8\u91cf<em>x<\/em>\u4e2d\u51cf\u53bb\u4e00\u4e2a\u6570\u5b57\u65f6\uff0c\u8be5\u51fd\u6570\u5c06\u51cf\u53bb\u7684\u5355\u4f4d\u5411\u53f3\u79fb\u52a8\uff08\u7eff\u8272\u51fd\u6570\uff09\u3002<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5728\u8fd9\u79cd\u7c7b\u578b\u7684\u8fd0\u52a8\u4e2d\uff0c\u4ec5\u6539\u53d8\u529f\u80fd\u70b9\u7684 X \u5750\u6807\uff0c\u800c Y \u5750\u6807\u7ee7\u7eed\u4fdd\u6301\u76f8\u540c\u7684\u503c\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5e73\u79fb\u6216\u79fb\u52a8\u51fd\u6570\u7684\u793a\u4f8b<\/h3>\n<ul>\n<li>\u5c06\u4ee5\u4e0b\u51fd\u6570\u5411\u4e0a\u79fb\u52a8 4 \u4e2a\u5355\u4f4d\uff0c\u5411\u53f3\u79fb\u52a8 3 \u4e2a\u5355\u4f4d\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-c3421a45cc1c0ad35b18520e81ddc031_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u5c06\u51fd\u6570\u5411\u4e0a\u79fb\u52a8 4 \u4e2a\u5355\u4f4d\uff0c\u6211\u4eec\u9700\u8981\u5411\u51fd\u6570\u6dfb\u52a0 4 \u4e2a\u5355\u4f4d\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-42f15821de4342f9ad62ca1f3d430a5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) + 4 = x^2 + 4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"137\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u5c06\u51fd\u6570\u5411\u53f3\u79fb\u52a8 3 \u4e2a\u5355\u4f4d\uff0c\u6211\u4eec\u5fc5\u987b\u8ba1\u7b97<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7b64f7ef5acc0208ecdcbf36a93b216_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"64\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3002\u56e0\u6b64\uff0c\u51e1\u662f\u6709\u4e00\u4e2a<\/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>\u6211\u4eec\u53ef\u4ee5<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bde661e1b7bc62c4e804705b7a355ef5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x-3 :\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"50\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33a30fbf704532ac9887adb3449914a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-3) = (x-3)^2 + 4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"181\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u51fd\u6570\u5411\u4e0a\u79fb\u52a8 4 \u4e2a\u5355\u4f4d\u5e76\u5411\u53f3\u79fb\u52a8 3 \u4e2a\u5355\u4f4d\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-7d2f913b24aecd43b30aca4a2ed58e0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) = (x-3)^2 + 4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e0b\u9762\u7ed8\u5236\u4e86\u539f\u59cb\u51fd\u6570\u548c\u8f6c\u6362\u540e\u7684\u51fd\u6570\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u770b\u5230\u5b83\u4eec\u4e4b\u95f4\u7684\u533a\u522b\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-translation-ou-deplacement-d-une-fonction.webp\" alt=\"\u51fd\u6570\u5e73\u79fb\u6216\u79fb\u52a8\u7684\u793a\u4f8b\" class=\"wp-image-316\" width=\"475\" height=\"374\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u5f53\u4e24\u79cd\u7c7b\u578b\u7684\u8fd0\u52a8\u540c\u65f6\u53d1\u751f\u65f6\uff0c\u4e00\u4e9b\u6570\u5b66\u5bb6\u5c06\u5176\u79f0\u4e3a\u503e\u659c\u4f4d\u79fb\u6216\u5e73\u79fb\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"reflexion-o-simetria-de-una-funcion-respecto-los-ejes-de-coordenadas\"><\/span>\u51fd\u6570\u76f8\u5bf9\u4e8e\u5750\u6807\u8f74\u7684\u53cd\u5c04\u6216\u5bf9\u79f0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6211\u4eec\u53ef\u4ee5\u7528\u4ee5\u4e0b\u65b9\u5f0f\u8868\u793a\u5173\u4e8e\u4efb\u4f55\u7b1b\u5361\u5c14\u8f74\u7684\u5bf9\u79f0\u51fd\u6570\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\">\u4e3a\u4e86<strong>\u53cd\u6620\u4e00\u4e2a\u51fd\u6570\u76f8\u5bf9\u4e8ex\u8f74\u7684\u60c5\u51b5\uff0c<\/strong>\u6211\u4eec\u9700\u8981\u6539\u53d8\u51fd\u6570\u7684\u7b26\u53f7\uff0c\u4e5f\u5c31\u662f\u8bf4\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-8122cbaf79d8273fae34a9c722301ef7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-f(x)}.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u4e3a\u4e86<strong>\u53cd\u6620\u5173\u4e8e y \u8f74\u7684\u51fd\u6570\uff0c<\/strong>\u6211\u4eec\u5fc5\u987b\u5bf9\u81ea\u53d8\u91cf<em>x<\/em>\u6c42\u53cd\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u5fc5\u987b\u8ba1\u7b97<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4367428d9a78be3de312b14e5205e6e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(-x)}.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/division-de-monomes-1.png\" alt=\"\u76f8\u5bf9\u4e8e X \u8f74\u7684\u53cd\u5c04\u6216\u5bf9\u79f0\" class=\"wp-image-317\" width=\"378\" height=\"312\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u5728\u4e0a\u56fe\u4e2d\u770b\u5230\u7684\uff0c\u901a\u8fc7\u5c06\u51fd\u6570\u4e58\u4ee5 -1\uff0c\u6211\u4eec\u4ee5\u56fe\u5f62\u65b9\u5f0f\u53cd\u8f6c\u5b83\uff08\u6a59\u8272\u51fd\u6570\uff09\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u6211\u4eec\u76f8\u5bf9\u4e8e X \u8f74\u955c\u50cf\u5b83\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/reflexion-ou-symetrie-autour-de-laxe-y.webp\" alt=\"\u5173\u4e8e Y \u8f74\u7684\u53cd\u5c04\u6216\u5bf9\u79f0\" class=\"wp-image-318\" width=\"378\" height=\"311\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4ece\u4e0a\u56fe\u4e2d\u53ef\u4ee5\u770b\u51fa\uff0c\u901a\u8fc7\u5426\u5b9a\u53d8\u91cf<em>x<\/em> \uff0c\u6211\u4eec\u76f8\u5bf9\u4e8e Y \u8f74\u955c\u50cf\u51fd\u6570\uff08\u6d45\u7eff\u8272\u51fd\u6570\uff09\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u955c\u50cf\u51fd\u6570\u7684\u793a\u4f8b<\/h3>\n<ul>\n<li>\u8ba1\u7b97\u4ee5\u4e0b\u4e8c\u6b21\u51fd\u6570\u7684\u5173\u4e8e OX \u8f74\u7684\u5bf9\u79f0\u51fd\u6570\u548c\u5173\u4e8e OY \u8f74\u7684\u5bf9\u79f0\u51fd\u6570\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-11c8e8e3276a66729e9719a4398fac1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"147\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u627e\u5230\u5173\u4e8e X \u8f74\u5bf9\u79f0\u7684\u51fd\u6570\uff0c\u6211\u4eec\u5fc5\u987b\u8fd9\u6837\u505a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d240a12433577722a9f830dc1dcf0429_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"46\" style=\"vertical-align: -5px;\"><\/p>\n<p>\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-ec1ca457c73589ee30ad6641f0d66c10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-f(x)=-\\bigl[x^2-4x+6\\bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"185\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6cffd86481d9546a5ce3132cebe8c0d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-f(x)=-x^2+4x-6}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u627e\u5230\u5173\u4e8e Y \u8f74\u5bf9\u79f0\u7684\u51fd\u6570\uff0c\u6211\u4eec\u5fc5\u987b\u8fd9\u6837\u505a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3831e7dbe8df4202b0780cbbb20432a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"48\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u5b58\u5728\u7684\u5730\u65b9\u66ff\u6362\u4e3a<\/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>\u5728\u539f\u51fd\u6570\u4e2d\u7531\u672f\u8bed<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9371f1e5d1cef68566c73bc482dfa55c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x :\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"32\" 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-11c8e8e3276a66729e9719a4398fac1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2-4x+6\" 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-6481e91f5c0f1de72c88438cb4aefbce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=(-x)^2-4\\cdot (-x)+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-04737d1dbc867b60d68e9c8f38387dc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=x^2-4\\cdot (-x)+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"201\" 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-a9bb0ac917663f86bcba5cacc5d3f482_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(-x)=x^2+4x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"161\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e0b\u9762\u4f60\u5c55\u793a\u4e86\u539f\u59cb\u51fd\u6570\u548c\u627e\u5230\u7684\u5bf9\u79f0\u51fd\u6570\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-fonctions-symetriques-avec-les-axes-x-et-y.webp\" alt=\"\u5173\u4e8e x \u548c y \u8f74\u5bf9\u79f0\u7684\u51fd\u6570\u793a\u4f8b\" class=\"wp-image-319\" width=\"588\" height=\"557\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"expansiones-y-contracciones-de-las-funciones\"><\/span>\u51fd\u6570\u7684\u6269\u5c55\u548c\u6536\u7f29<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e0e\u7ffb\u8bd1\u4e00\u6837\uff0c\u6709\u4e24\u79cd\u7c7b\u578b\u7684\u6269\u5c55\u6216\u6536\u7f29\uff1a\u5782\u76f4\u548c\u6c34\u5e73\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u51fd\u6570\u7684\u5782\u76f4\u6269\u5c55\u548c\u6536\u7f29<\/h3>\n<p>\u901a\u8fc7\u5c06\u6574\u6570\u51fd\u6570\u4e58\u4ee5\u7cfb\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u5176\u6269\u5c55\u6216\u6536\u7f29\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\">\u8981<strong>\u5728 Y \u8f74\u4e0a\u6269\u5c55\uff08\u6216\u81a8\u80c0\uff09\u51fd\u6570\uff0c<\/strong>\u6211\u4eec\u9700\u8981\u5c06\u5176\u4e58\u4ee5\u5927\u4e8e 1 \u7684\u6570\u5b57\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-03a53c8010e3a92a216e3db2ceec41fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"kf(x)\\qquad k>1&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;121&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p style=\"text-align:left\">\u8981<strong>\u51cf\u5c11 Y \u8f74\u4e0a\u7684\u51fd\u6570\uff0c<\/strong>\u6211\u4eec\u9700\u8981\u5c06\u5176\u4e58\u4ee5\u5c0f\u4e8e 1 \u7684\u6b63\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-189e80beb9f93693ae854541fe86e22b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"kf(x)\\qquad 0<\/div>\n<div class=&quot;wp-block-image&quot;>\n<figure class=&quot;aligncenter size-large is-resized&quot;><img decoding=&quot;async&quot; loading=&quot;lazy&quot; src=&quot;http:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/expansion-et-contraction-d-une-fonction.webp&quot; alt=&quot;expansion et contraction verticales d'une fonction&quot; class=&quot;wp-image-320&quot; width=&quot;442&quot; height=&quot;438&quot; srcset=&quot;&quot; sizes=&quot;&quot; data-src=&quot;&quot;><\/figure>\n<\/div>\n<p> Comme vous pouvez le voir dans le graphique pr\u00e9c\u00e9dent, si on multiplie une fonction par un coefficient sup\u00e9rieur \u00e0 1 (fonction verte) on la rend plus grande le long de l&#8217;axe OY, en revanche, si on multiplie une fonction par un coefficient sup\u00e9rieur \u00e0 0 mais plus petit que 1 (fonction rouge), nous le rendons plus petit le long de l&#8217;axe OY.<\/p>\n<h3 class=&quot;wp-block-heading&quot;> Expansion et contraction horizontales d&#8217;une fonction<\/h3>\n<p> Dans ce cas, au lieu de multiplier la fonction enti\u00e8re par un coefficient, pour qu&#8217;une fonction se dilate ou se contracte horizontalement, nous devons multiplier la variable ind\u00e9pendante <em>x<\/em> . <\/p>\n<div style=&quot;padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;&quot;> Pour <strong>\u00e9tendre (ou dilater) une fonction sur l&#8217;axe X,<\/strong> il faut multiplier tous les <em>x<\/em> par un nombre compris entre 0 et 1 :&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;392&#8243; width=&#8221;2425&#8243; style=&#8221;vertical-align: -4px;&#8221;><\/p>\n<p> f(kx)\\qquad 0<\/p>\n<p style=\"text-align:left\">\u8981<strong>\u51cf\u5c11 X \u8f74\u4e0a\u7684\u51fd\u6570\uff0c<\/strong>\u6211\u4eec\u9700\u8981\u5c06\u6240\u6709<em>x<\/em>\u4e58\u4ee5\u5927\u4e8e 1 \u7684\u6570\u5b57\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-172c2c9b2f320ce017a42e21495fc0e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(kx)\\qquad k>1&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;121&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/contraction-horizontale-ou-expansion-d-une-fonction.webp\" alt=\"\u51fd\u6570\u7684\u6c34\u5e73\u6269\u5c55\u6216\u6536\u7f29\" class=\"wp-image-321\" width=\"446\" height=\"413\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u5728\u4e0a\u56fe\u4e2d\u770b\u5230\u7684\uff0c\u5982\u679c\u6211\u4eec\u5c06\u51fd\u6570\u7684\u6240\u6709<em>x<\/em>\u4e58\u4ee5\u5927\u4e8e 0 \u4f46\u5c0f\u4e8e 1 \u7684\u7cfb\u6570\uff08\u7eff\u8272\u51fd\u6570\uff09\uff0c\u6211\u4eec\u5c31\u4f1a\u6cbf OX \u8f74\u653e\u5927\u5b83\uff0c\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u6211\u4eec\u4e58\u4ee5\u4e00\u4e2a\u7cfb\u6570\u5927\u4e8e 1 \u7684\u51fd\u6570\uff08\u7ea2\u8272\u51fd\u6570\uff09\uff0c\u6211\u4eec\u6cbf OX \u8f74\u51cf\u5c11\u5b83\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5982\u4f55\u5c55\u5f00\u6216\u6298\u53e0\u51fd\u6570\u7684\u793a\u4f8b<\/h3>\n<ul>\n<li>\u5782\u76f4\u548c\u6c34\u5e73\u590d\u5236\u4ee5\u4e0b\u65e0\u7406\u51fd\u6570\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-df182b1121b5047a370b9a0217f223b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\sqrt{9-x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"122\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u5c06\u51fd\u6570\u5728 y \u8f74\u4e0a\u6269\u5c55 2\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u6574\u4e2a\u51fd\u6570\u4e58\u4ee5 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-1f10c9a73b34546e1fb103b07d188c16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2f(x)=2\\sqrt{9-x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5e76\u4e14\u4e3a\u4e86\u5728 x \u8f74\u4e0a\u5c06\u51fd\u6570\u6269\u5c55\u4e3a 2\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u51fd\u6570\u7684\u6240\u6709<em>x<\/em>\u4e58\u4ee5<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc880ad231c4b13f10b0a4b05da2aed9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{2}:\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"20\" 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-7955c308d702a9df6603dde57400f31d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f\\left(\\frac{1}{2}x\\right)=2\\sqrt{9-\\left(\\frac{1}{2}x\\right)^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"201\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5728\u4e24\u4e2a\u5750\u6807\u8f74\u4e0a\u590d\u5236\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-891161dec71142b1dc7c87250a039b6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bm{f(x) = 2\\sqrt{9-\\left(\\frac{1}{2}x\\right)^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"173\" style=\"vertical-align: -19px;\"><\/p>\n<\/p>\n<p>\u4e0b\u9762\u4ee5\u56fe\u5f62\u65b9\u5f0f\u663e\u793a\u539f\u59cb\u51fd\u6570\u548c\u8f6c\u6362\u540e\u7684\u51fd\u6570\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u770b\u5230\u5b83\u4eec\u4e4b\u95f4\u7684\u5dee\u5f02\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-comment-developper-et-reduire-une-fonction.webp\" alt=\"\u5982\u4f55\u5c55\u5f00\u548c\u6298\u53e0\u51fd\u6570\u7684\u793a\u4f8b\" class=\"wp-image-322\" width=\"434\" height=\"395\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u65b0\u7279\u5f81\uff08\u7d2b\u8272\uff09\u5728\u5782\u76f4\u548c\u6c34\u5e73\u65b9\u5411\u4e0a\u90fd\u662f\u539f\u59cb\u7279\u5f81\uff08\u84dd\u8272\uff09\u7684\u4e24\u500d\uff0c\u56e0\u6b64\uff0c\u8be5\u7279\u5f81\u5df2\u6269\u5c55\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-transformaciones-de-funciones\"><\/span>\u89e3\u51b3\u4e86\u51fd\u6570\u8f6c\u6362\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u5c06\u4e0b\u5217\u4e09\u6b21\u51fd\u6570\u4e0a\u79fb 5 \u4e2a\u5355\u4f4d\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-40118044e198dd521201b4934a2465d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 4x^3-9x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u5c06\u51fd\u6570\u5411\u4e0a\u79fb\u52a8 5 \u4e2a\u5355\u4f4d\uff0c\u8bf7\u5411\u51fd\u6570\u6dfb\u52a0 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-d29d1537293d975f7fbda8871622660f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} f(x) + 5 &amp; = 4x^3-9x-2 + 5 \\\\[2ex] &amp; = 4x^3-9x+3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u79fb\u52a8 5 \u4e2a\u5355\u4f4d\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-0d7c13d80c2d91f99f6a960223c4b904_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) = 4x^3-9x+3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"156\" 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>\u6c42\u4ee5\u4e0b\u4e8c\u6b21\u51fd\u6570\u5173\u4e8e Y \u8f74\u7684\u5bf9\u79f0\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-b91b7f45206484f6878a73f6891805a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 2x^2-3x+6\" 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\">\u4e3a\u4e86\u627e\u5230\u5173\u4e8e Y \u8f74\u5bf9\u79f0\u7684\u51fd\u6570\uff0c\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-3831e7dbe8df4202b0780cbbb20432a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"48\" style=\"vertical-align: -5px;\"><\/p>\n<p>\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u9700\u8981\u66ff\u6362<\/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>\u4e3a\u4e86<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6cacb15a7aa187378723791e7a017ae0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5728\u51fd\u6570\u4e2d\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-89980b1b6f9a88ffbf9ad6330aa357e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x) = 2(-x)^2-3\\cdot (-x)+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"238\" 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-488db09618c47a0ad47b0d2e5d9a219d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x) = 2x^2+3x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"170\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u76f8\u5bf9\u4e8e OY \u8f74\u7684\u5bf9\u79f0\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-1ea68e782a0f7a69044cf73162fa23c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) = 2x^2+3x+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"156\" 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>\u5c06\u4ee5\u4e0b\u51fd\u6570\u6267\u884c\u6c34\u5e73\u538b\u7f29\u81f3\u5176\u8868\u793a\u7684\u4e09\u5206\u4e4b\u4e00\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-312a893921ce7ac95eb3d5a4ede6fbeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x^3-4x^2-5x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"195\" 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\">\u901a\u8fc7\u4ee5\u4e0b<em>\u65b9\u5f0f<\/em>\u51cf\u5c11<em>\u51fd\u6570<\/em><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-32f949a88dd584d81674904f2acc7bbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3x) = (3x)^3-4(3x)^2-5(3x)+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"271\" 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-bdb33583bf5172f677c39cee38e5b22a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3x) = 27x^3-4\\cdot 9 x^2-15x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"252\" 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-ad5277a59fdcd9e0200b2a0e20f2a8ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(3x) = 27x^3-36 x^2-15x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"239\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u7b80\u5316\u540e\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-bd28fc9dab2beff532a89bd1e056c649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) = 27x^3-36 x^2-15x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"230\" 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\u4e604<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u51fd\u6570\u76f8\u5bf9\u4e8e OX \u8f74\u5411\u53f3\u5e73\u79fb 4 \u4e2a\u5355\u4f4d\u7684\u5bf9\u79f0\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-fb19b7a548b34b8dc54dec33a00d890e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 3x^3-x^2+5x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"196\" 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\">\u5728\u8ba1\u7b97\u5bf9\u79f0\u51fd\u6570\u4e4b\u524d\uff0c\u6211\u4eec\u5fc5\u987b\u5148\u5c06\u51fd\u6570\u5411\u53f3\u79fb\u52a84\u4e2a\u5355\u4f4d\uff0c\u56e0\u6b64\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-ce682e35d129267d2d363e05fd32a40e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = 3(x-4)^3-(x-4)^2+5(x-4)+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"359\" 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-5f9fc4ca8d47f94f0168180fc84c65c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = 3(x-4)^3-(x-4)^2+5x-20+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"354\" 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-26f080aa9528ce8b84e4f3d86cea6863_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = 3(x-4)^3-(x-4)^2+5x-12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"323\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u79fb\u52a8\u4e86\u51fd\u6570\uff0c\u6211\u4eec\u5c31\u8ba1\u7b97\u76f8\u5bf9\u4e8e X \u8f74\u7684\u5bf9\u79f0\u51fd\u6570\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5bf9\u6240\u83b7\u5f97\u7684\u51fd\u6570\u6c42\u53cd\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-62a7ea0e19503ec030dcdaa59c9157eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -f(x) = -\\Bigl[3(x-4)^3-(x-4)^2+5x-12\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"333\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-45bad0a6a17349b172cede9f5e0bddd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-f(x) = -3(x-4)^3+(x-4)^2-5x+12\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"319\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7b80\u800c\u8a00\u4e4b\uff0c\u5e94\u7528\u6240\u6709\u521d\u7b49\u8fd0\u7b97\u540e\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-4b7f02414a5ebdaa48088284628d47e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) =-3(x-4)^3+(x-4)^2-5x+12}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"306\" 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>\u5c06\u4ee5\u4e0b\u51fd\u6570\u5411\u5de6\u79fb\u52a8 2 \u4e2a\u5355\u4f4d\uff0c\u7136\u540e\u5c06\u5176\u5782\u76f4\u5c55\u5f00 4 \u500d\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-3c33aacf88564e0d25f513ad302b229f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = x^4-5x^3-x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"187\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u51fd\u6570\u5411\u5de6\u79fb\u52a8\u4e24\u4e2a\u5355\u4f4d\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-126c5a402b4694c6f828f8afff050bb2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x+2) = (x+2)^4-5(x+2)^3-(x+2)-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"350\" 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-fbde42766323610c75cf99f1fa119f16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = (x+2)^4-5(x+2)^3-x-2-3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"336\" 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-c6805820552c93988723905b4a0ae4f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-4) = (x+2)^4-5(x+2)^3-x-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"305\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7136\u540e\u6211\u4eec\u5c06\u51fd\u6570\u6cbf Y \u8f74\u5c55\u5f00 4 \u500d\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-07175c64db9d7e8074852df8944df6c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4\\cdot f(x) = 4\\cdot \\Bigl[(x+2)^4-5(x+2)^3-x-5\\Bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"332\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-580d477d32f0bfe0890bf4300ea6d7e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = 4(x+2)^4-20(x+2)^3-4x-20\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"311\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u603b\u4e4b\uff0c\u5e94\u7528\u6240\u6709\u521d\u7b49\u53d8\u6362\u540e\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-1109677d4c80d5ddd4796c61d491ec43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{f(x) =4(x+2)^4-20(x+2)^3-4x-20}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"311\" 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\u4e606<\/h3>\n<p>\u4ece\u51fd\u6570\u6765\u770b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dad1214b336820b0d687af311863cb5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u786e\u5b9a\u56fe\u8868\u4e0a\u7684\u54ea\u4e2a\u8868\u793a\u5bf9\u5e94\u4e8e\u8be5\u51fd\u6570<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-89346440ae4c39502126b23a77a33d48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x-3 .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-transformations-de-fonctions.webp\" alt=\"\u9010\u6b65\u89e3\u51b3\u51fd\u6570\u8f6c\u6362\u7684\u7ec3\u4e60\" class=\"wp-image-323\" width=\"345\" height=\"452\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\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\">\u529f\u80fd<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7dd7ee1df01702798c0545a0e677dd7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u51fd\u6570<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-983fed5b7a164bfcb0d3e0b5cebfd4c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"68\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5411\u4e0b\u79fb\u52a8\u4e86 3 \u4e2a\u5355\u4f4d\u3002\u56e0\u4e3a\u901a\u8fc7\u4ece\u51fd\u6570\u4e2d\u51cf\u53bb\u4e00\u4e2a\u6570\u5b57\uff0c\u60a8\u53ef\u4ee5\u5c06\u51fd\u6570\u5411\u4e0b\u79fb\u52a8\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4ee3\u8868<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7dd7ee1df01702798c0545a0e677dd7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x-3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5bf9\u5e94\u4e8e<strong>\u7ebf b)<\/strong> \uff0c\u56e0\u4e3a\u4e0e\u7ebf\u76f8\u6bd4\uff0c\u5b83\u5411\u4e0b\u79fb\u52a8\u4e86 3 \u4e2a\u5355\u4f4d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b66617657d81f989c6c5d4683e180df7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x .\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8fd9\u53ef\u4ee5\u901a\u8fc7\u89c2\u5bdf\u7eb5\u8f74\u770b\u51fa\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-983fed5b7a164bfcb0d3e0b5cebfd4c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"68\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u7a7f\u8fc7 0\uff0c\u7ea2\u7ebf\u7a7f\u8fc7 -3\uff0c\u56e0\u6b64\u5411\u4e0b\u79fb\u52a8 3 \u4e2a\u5355\u4f4d\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>\u4ece\u51fd\u6570\u6765\u770b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1bdc795bee6a8b1a1919130f22ed548_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^2+2,\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"111\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u786e\u5b9a\u54ea\u4e2a\u629b\u7269\u7ebf\u662f\u51fd\u6570\u7684\u8868\u793a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-805285c257f852940155a59881e77197_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(x-6)^2+2 .\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\/problemes-resolus-de-transformations-de-fonctions.webp\" alt=\"\u89e3\u51b3\u51fd\u6570\u8f6c\u6362\u95ee\u9898\" class=\"wp-image-324\" width=\"586\" height=\"350\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\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\">\u529f\u80fd<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34a59683b5fe280b2ad03b3a77d12552_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(x-6)^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u51fd\u6570<\/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>\u5411\u53f3\u79fb\u52a8\u4e86 6 \u4e2a\u5355\u4f4d\u3002\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u6765\u9a8c\u8bc1\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-08c4660cf5137f59fa8264aa436dfdbe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-6):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" 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-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<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7f2572ed3c877df9b660d302e833e334_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x-6)=(x-6)^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4ee3\u8868<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34a59683b5fe280b2ad03b3a77d12552_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=(x-6)^2+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"150\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5bf9\u5e94\u4e8e<strong>\u629b\u7269\u7ebf c)<\/strong> \uff0c\u56e0\u4e3a\u4e0e<\/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>\u3002<\/p>\n<p class=\"has-text-align-left\">\u8fd9\u53ef\u4ee5\u901a\u8fc7\u89c2\u5bdf\u629b\u7269\u7ebf\u7684\u9876\u70b9\u6765\u770b\u51fa\uff1a\u629b\u7269\u7ebf\u9876\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb<\/p>\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>\u629b\u7269\u7ebfc)\u7684\u9876\u70b9\u4e3a6\u4e2a\u5355\u4f4d\uff0c\u56e0\u6b64\u540e\u8005\u6bd4\u7b2c\u4e00\u4e2a\u629b\u7269\u7ebf\u5411\u53f3\u79fb\u52a8\u4e866\u4e2a\u5355\u4f4d\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u9875\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u51fd\u6570\u8f6c\u6362\u4ee5\u53ca\u5982\u4f55\u627e\u5230\u5b83\u4eec\u3002\u53d8\u6362\u5206\u4e3a\u4e09\u79cd\u7c7b\u578b\uff1a\u5e73\u79fb\uff08\u6216\u4f4d\u79fb\uff09\u3001\u5bf9\u79f0\u548c\u6269\u5c55\uff08\u6216\u6536\u7f29\uff09\u3002\u60a8\u8fd8\u4f1a\u53d1\u73b0\u9010 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%8d%95%e4%bd%93%e9%99%a4%e6%b3%95%e9%99%a4%e6%b3%95%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0%e5%b7%b2%e8%a7%a3%e5%86%b3-1\/\"> <span class=\"screen-reader-text\">\u51fd\u6570\u53d8\u6362\uff1a\u5e73\u79fb\u3001\u5bf9\u79f0\u3001\u6269\u5c55\u548c\u538b\u7f29<\/span> \u67e5\u770b\u5168\u6587 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