{"id":335,"date":"2023-07-06T02:26:23","date_gmt":"2023-07-06T02:26:23","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%b8%89%e9%a1%b9%e5%bc%8f%e7%9a%84%e5%b9%b3%e6%96%b9\/"},"modified":"2023-07-06T02:26:23","modified_gmt":"2023-07-06T02:26:23","slug":"%e4%b8%89%e9%a1%b9%e5%bc%8f%e7%9a%84%e5%b9%b3%e6%96%b9","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%b8%89%e9%a1%b9%e5%bc%8f%e7%9a%84%e5%b9%b3%e6%96%b9\/","title":{"rendered":"\u4e09\u9879\u5f0f\u5e73\u65b9"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u6c42\u89e3\u4e09\u9879\u5f0f\uff08\u516c\u5f0f\uff09\u7684\u5e73\u65b9\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u51e0\u4e2a\u793a\u4f8b\u5e76\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3\u5e73\u65b9\u4e09\u9879\u5f0f\u7684\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-un-trinomio-al-cuadrado\"><\/span>\u4e09\u9879\u5f0f\u5e73\u65b9\u7684\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ece\u903b\u8f91\u4e0a\u8bb2\uff0c\u8981\u7406\u89e3\u4e09\u9879\u5f0f\u5e73\u65b9\u516c\u5f0f\uff0c\u60a8\u9996\u5148\u9700\u8981\u77e5\u9053\u4ec0\u4e48\u662f<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u4e09\u9879\u5f0f\/\">\u4e09\u9879\u5f0f<\/a><\/span><\/strong>\u3002\u6211\u7ed9\u60a8\u7559\u4e0b\u4e86\u8fd9\u4e2a\u94fe\u63a5\uff0c\u4ee5\u9632\u60a8\u5728\u7ee7\u7eed\u89e3\u91ca\u4e4b\u524d\u60f3\u67e5\u770b\u5b83\u3002<\/p>\n<p><strong>\u4e09\u9879\u5f0f\u7684\u5e73\u65b9<\/strong>\u7b49\u4e8e\u7b2c\u4e00\u9879\u7684\u5e73\u65b9\uff0c\u52a0\u4e0a\u7b2c\u4e8c\u9879\u7684\u5e73\u65b9\uff0c\u52a0\u4e0a\u7b2c\u4e09\u9879\u7684\u5e73\u65b9\uff0c\u52a0\u4e0a\u7b2c\u4e00\u9879\u4e58\u4ee5\u7b2c\u4e8c\u9879\u7684\u4e24\u500d\uff0c\u518d\u52a0\u4e0a\u7b2c\u4e00\u9879\u4e58\u4ee5\u7b2c\u4e09\u9879\u7684\u4e24\u500d\uff0c\u52a0\u4e0a\u7b2c\u4e8c\u4e2a\u6362\u7b2c\u4e09\u4e2a\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\/carre-dun-trinome.png\" alt=\"\u4e09\u9879\u5f0f\u7684\u5e73\u65b9\u6216\u4e09\u9879\u5f0f\u7684\u5e73\u65b9\" class=\"wp-image-2847\" width=\"378\" height=\"302\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e09\u9879\u5f0f\u7684\u5e73\u65b9\u5982\u6b64\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u662f\u4e00\u4e2a\u503c\u5f97\u6ce8\u610f\u7684\u4e58\u79ef\uff08\u6216\u503c\u5f97\u6ce8\u610f\u7684\u6052\u7b49\u5f0f\uff09\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u6709\u4e00\u4e2a\u6570\u5b66\u516c\u5f0f\u53ef\u4ee5\u8ba9\u4f60\u5feb\u901f\u8ba1\u7b97\u8fd9\u4e2a\u8fd0\u7b97\u3002\u5355\u51fb\u4ee5\u4e0b\u94fe\u63a5\u67e5\u770b\u6240\u6709<a href=\"https:\/\/mathority.org\/cn\/\u6052\u7b49\u5f0f\u4ea7\u54c1-\u663e\u7740\u7684\u7b49\u5f0f\u89e3\u51b3\u7ec3\u4e60\/\"><strong><span style=\"text-decoration: underline;\">\u8457\u540d\u7684\u4ea7\u54c1\u914d\u65b9<\/span><\/strong><\/a>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-trinomios-al-cuadrado\"><\/span>\u5e73\u65b9\u4e09\u9879\u5f0f\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u4e09\u9879\u5f0f\u5e73\u65b9\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u6211\u4eec\u5c31\u4f1a\u770b\u5230\u51e0\u4e2a\u8ba1\u7b97\u4e09\u9879\u5f0f\u5e73\u65b9\u7684\u4f8b\u5b50\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b1<\/h3>\n<ul>\n<li>\u8ba1\u7b97\u4ee5\u4e0b\u4e09\u9879\u5f0f\u5e73\u65b9\u7684\u5e42\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-7ee4db6a5192b7efea2342d21275e487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^2+x+3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"101\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p>\u4e09\u9879\u5f0f\u5e73\u65b9\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-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u9996\u5148\u8981\u786e\u5b9a\u53c2\u6570\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-bfaed44949cf9cfbeb3445de33aabd3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a,b\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"25\" style=\"vertical-align: -4px;\"><\/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-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u7684\u516c\u5f0f\u3002\u5728\u8fd9\u4e2a\u7ec3\u4e60\u4e2d<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e1c\u65b9<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f6edd3d7af07ab26b4a0a71c20c0b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u7cfb\u6570<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5bf9\u5e94\u4e8e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-038741496726a75b03e91a2e030b0287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/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-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u72ec\u7acb\u9879 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-55e06f44486e75e9153a60d36e83bc37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} (a+b+c)^2\\\\[2ex] \\left(x^2+x+3\\right)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x^2 \\\\[2ex] b=x \\\\[2ex] c=3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"343\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5f53\u6211\u4eec\u5df2\u7ecf\u77e5\u9053\u8fd9\u4e9b\u503c\u65f6\uff0c\u53ea\u9700\u5c06\u8fd9\u4e9b\u503c\u4ee3\u5165\u516c\u5f0f\u5e76\u8fdb\u884c\u8ba1\u7b97\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-trinome-au-carre.png\" alt=\"\u5e73\u65b9\u4e09\u9879\u5f0f\u793a\u4f8b\" class=\"wp-image-2850\" width=\"643\" height=\"224\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5e94\u8be5\u6ce8\u610f\u7684\u662f\uff0c\u5e73\u65b9\u4e09\u9879\u5f0f\u4e0e<a href=\"https:\/\/mathority.org\/cn\/\u5b8c\u5168\u5e73\u65b9\u4e09\u9879\u5f0f\/\"><strong><span style=\"text-decoration: underline;\">\u5b8c\u5168\u5e73\u65b9\u4e09\u9879\u5f0f<\/span><\/strong><\/a>\u4e0d\u540c\u3002\u8fd9\u662f\u4e00\u4e2a\u5e38\u89c1\u7684\u9519\u8bef\uff0c\u56e0\u4e3a\u5f88\u591a\u4eba\u5bf9\u8fd9\u4e24\u4e2a\u6982\u5ff5\u611f\u5230\u56f0\u60d1\u3002\u60a8\u53ef\u4ee5\u5728\u672c\u6bb5\u7684\u94fe\u63a5\u4e2d\u770b\u5230\u8fd9\u4e24\u79cd\u7c7b\u578b\u7684\u4e09\u9879\u5f0f\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b2<\/h3>\n<ul>\n<li>\u6c42\u4e09\u9879\u5f0f\u7684\u4e0b\u4e00\u4e2a\u5e73\u65b9\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-c6ced36e156a021e512b73f322138074_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^2-2x+4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"110\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e3a\u4e86\u786e\u5b9a\u8fd9\u4e2a\u591a\u9879\u5f0f\u5e42\uff0c\u6211\u4eec\u5fc5\u987b\u5e94\u7528\u5c06\u4e09\u9879\u5f0f\u5316\u4e3a\u4e8c\u7684\u516c\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u4e2a\u95ee\u9898\u4e2d\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-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8fd9\u76f8\u5f53\u4e8e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f6edd3d7af07ab26b4a0a71c20c0b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5bf9\u5e94\u4e8e\u8d1f\u5355\u9879\u5f0f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae405991eecf234826df9d5bbfb8de4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"36\" style=\"vertical-align: -4px;\"><\/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-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6570\u5b57 4\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-e816dc27154d8b4e9748c340da4a04e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} (a+b+c)^2\\\\[2ex] \\left(x^2-2x+4\\right)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x^2 \\\\[2ex] b=-2x \\\\[2ex] c=4 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"366\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u627e\u5230\u7684\u503c\u4ee3\u5165\u516c\u5f0f\u5e76\u6c42\u89e3\u7ed3\u679c\u8fd0\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-97cdd6092e40172071bcb1e84b4df444_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} \\left(x^2-2x+4\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+(-2x)^2+4^2+2\\cdot x^2 \\cdot (-2x) + 2 \\cdot x^2 \\cdot 4 +2 \\cdot (-2x) \\cdot 4 = \\\\[2ex] = x^4+4x^2+16-4x^3 + 8x^2 -16x = \\\\[2ex] = x^4-4x^3+12x^2-16x+16 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"508\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u8d1f\u57fa\u6570\u7684\u5076\u6307\u6570\u5e42\u7ed9\u51fa\u6b63\u9879\uff0c\u56e0\u6b64<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e252311ea5bbe33f6b3f066ed805d4a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(-2x)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u7b49\u4e8e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dac0d6c1d060e62694d182231bd81d82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^2.\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"31\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u60a8\u5df2\u7ecf\u4e86\u89e3\u4e86\u5982\u4f55\u8ba1\u7b97\u4e09\u9879\u5f0f\u7684\u5e73\u65b9\uff0c\u60a8\u53ef\u80fd\u8fd8\u4f1a\u6709\u5174\u8da3\u4e86\u89e3\u5982\u4f55<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u548c\u4e0e\u5dee\u7684\u4e58\u79ef\u516c\u5f0f\/\">\u901a\u8fc7\u4e24\u9879\u4e4b\u5dee\u6765\u6c42\u89e3\u548c\u7684\u4e58\u79ef<\/a><\/span><\/strong>\u3002\u4e8b\u5b9e\u4e0a\uff0c\u4ed6\u662f\u524d 3 \u540d\u503c\u5f97\u6ce8\u610f\uff08\u6700\u91cd\u8981\uff09\u7684\u8eab\u4efd\u4e4b\u4e00\u3002\u60a8\u53ef\u4ee5\u5728\u94fe\u63a5\u9875\u9762\u4e0a\u67e5\u770b\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u5e94\u7528\u5b83\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Demostracion-de-la-formula-del-cuadrado-de-un-trinomio\"><\/span>\u4e09\u9879\u5f0f\u5e73\u65b9\u516c\u5f0f\u7684\u6f14\u793a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u5b8c\u6210\u5bf9\u4e09\u9879\u5f0f\u5e73\u65b9\u5e42\u7684\u6982\u5ff5\u7684\u7406\u89e3\uff0c\u6211\u4eec\u5c06\u63a8\u5bfc\u6211\u4eec\u521a\u521a\u5b66\u4e60\u7684\u516c\u5f0f\u3002<\/p>\n<p>\u4ece\u4efb\u4f55\u4e09\u9879\u5f0f\u5347\u5230 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-379affdd0954c4ca08ed08041e0eb7b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e0a\u9762\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u76f8\u5f53\u4e8e\u5c06\u62ec\u53f7\u4e2d\u7684\u4e09\u9879\u5f0f\u4e0e\u5176\u81ea\u8eab\u76f8\u4e58\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-d8944601270bfee61c23bb9440e7fd79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2 = (a+b+c)(a+b+c)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"275\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u8ba9\u6211\u4eec\u5c06\u4e24\u4e2a\u4e09\u9879\u5f0f\u76f8\u4e58\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-ceaddc98a341af8c426098e15affbe7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)(a+b+c)= a^2+ab+ac+ba+b^2+bc+ca+cb+c^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"505\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u76f8\u4f3c\u7684\u672f\u8bed\u5206\u7ec4\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-79d99fd9567501331249064ee77e6db1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+ab+ac+ba+b^2+bc+ca+cb+c^2 = a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"576\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u8fd9\u6837\u6211\u4eec\u5c31\u5df2\u7ecf\u5f97\u5230\u4e86\u516c\u5f0f\u7684\u8868\u8fbe\uff0c\u4e8e\u662f\u4e09\u9879\u5f0f\u7684\u5e73\u65b9\u516c\u5f0f\u5c31\u5f97\u5230\u4e86\u8bc1\u660e\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-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5728\u6211\u4eec\u7684\u7f51\u7ad9\u4e0a\uff0c\u6211\u4eec\u6709\u66f4\u591a\u8457\u540d\u8eab\u4efd\u7684\u5c55\u793a\u3002\u4f8b\u5982\uff0c\u60a8\u53ef\u4ee5\u770b\u5230<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u603b\u548c\u7684\u5e73\u65b9\u6216\u5e73\u65b9\u548c\/\">\u5e73\u65b9<\/a><\/span><\/strong>\u548c<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u5dee\u503c\u6216\u51cf\u6cd5\u7684\u5e73\u65b9\/\">\u548c\u5e73\u65b9\u5dee<\/a><\/span><\/strong>\u7684\u516c\u5f0f\u6f14\u793a\u3002\u6b64\u5916\uff0c\u5728\u8fd9\u4e9b\u94fe\u63a5\u4e2d\uff0c\u60a8\u4e0d\u4ec5\u4f1a\u770b\u5230\u5b83\u4eec\u7684\u8bc1\u660e\uff0c\u8fd8\u4f1a\u770b\u5230\u5b83\u4eec\u516c\u5f0f\u7684\u51e0\u4f55\u89e3\u91ca\uff0c\u5373\u8fd9\u4e9b\u7c7b\u578b\u7684\u663e\u7740\u6052\u7b49\u5f0f\u5728\u51e0\u4f55\u4e0a\u7684\u542b\u4e49\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-trinomios-al-cuadrado\"><\/span>\u89e3\u51b3\u4e86\u5e73\u65b9\u4e09\u9879\u5f0f\u95ee\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u5e73\u65b9\u4e09\u9879\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-b1e2db1dacfd70bcdf33589968427633_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(x^2+x+5\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"132\" 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-6eddfbe2255cd7f5b8d829ff6aef4e38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(x^2+3x-4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"141\" 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-577a572f8974257e1d6d7b8411f75f4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(4x^2-6x+3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"150\" 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-4a26869f17cf7889324d3d5e6755b800_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(x^3-3x^2-9x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"159\" style=\"vertical-align: -7px;\"><\/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__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" 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\u89e3\u51b3\u6240\u6709\u7684\u7ec3\u4e60\uff0c\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u4e09\u9879\u5f0f\u7684\u5e73\u65b9\u516c\u5f0f\uff0c\u5373\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-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" 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-749dc45e7a00d7122d62b774706bdcc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l} \\left(x^2+x+5\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+x^2+5^2+2\\cdot x^2 \\cdot x + 2 \\cdot x^2 \\cdot 5 +2 \\cdot x \\cdot 5 = \\\\[2ex] = x^4+x^2+25+2x^3 + 10x^2 +10x = \\\\[2ex] = \\bm{x^4+2x^3+11x^2+10x+25} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"438\" 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-b1f51f18b3c1118b6e8e3acc3441b0ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}\\left(x^2+3x-4\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+(3x)^2+(-4)^2+2\\cdot x^2 \\cdot 3x + 2 \\cdot x^2 \\cdot (-4) +2 \\cdot 3x \\cdot (-4) = \\\\[2ex] = x^4+9x^2+16+6x^3-8x^2-24x = \\\\[2ex] = \\bm{x^4+6x^3+x^2-24x+16} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"557\" 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-49c6496bf684296d315fc96d9cb5857e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}\\left(4x^2-6x+3\\right)^2 = \\\\[2ex] = \\left(4x^2\\right)^2+(-6x)^2+3^2+2\\cdot 4x^2 \\cdot (-6x) + 2 \\cdot 4x^2 \\cdot 3 +2 \\cdot (-6x) \\cdot 3 = \\\\[2ex] = 16x^4+36x^2+9-48x^3+24x^2-36x = \\\\[2ex] = \\bm{16x^4-48x^3+60x^2-36x+9} \\end{array}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"570\" 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-7cd08035d8402c27c411bcf5b30216cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l}  \\left(x^3-3x^2-9x\\right)^2 = \\\\[2ex] = \\left(x^3\\right)^2+\\left(-3x^2\\right)^2+(-9x)^2+2\\cdot x^3 \\cdot (-3x^2) + 2 \\cdot x^3 \\cdot (-9x) +2 \\cdot (-3x^2) \\cdot (-9x) = \\\\[2ex] = x^6+9x^4+81x^2-6x^5-18x^4+54x^3 = \\\\[2ex] = \\bm{x^6-6x^5-9x^4+54x^3+81x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"682\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u6c42\u89e3\u4e09\u9879\u5f0f\uff08\u516c\u5f0f\uff09\u7684\u5e73\u65b9\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u51e0\u4e2a\u793a\u4f8b\u5e76\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3\u5e73\u65b9\u4e09\u9879\u5f0f\u7684\u7ec3\u4e60\u3002  &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%b8%89%e9%a1%b9%e5%bc%8f%e7%9a%84%e5%b9%b3%e6%96%b9\/\"> <span class=\"screen-reader-text\">\u4e09\u9879\u5f0f\u5e73\u65b9<\/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":[10],"tags":[],"class_list":["post-335","post","type-post","status-publish","format-standard","hentry","category-10"],"yoast_head":"<!-- This site is optimized 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