{"id":337,"date":"2023-07-06T01:55:34","date_gmt":"2023-07-06T01:55:34","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%b8%89%e9%a1%b9%e5%bc%8f\/"},"modified":"2023-07-06T01:55:34","modified_gmt":"2023-07-06T01:55:34","slug":"%e4%b8%89%e9%a1%b9%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%b8%89%e9%a1%b9%e5%bc%8f\/","title":{"rendered":"\u4e09\u9879\u5f0f"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u4ec0\u4e48\u662f\u4e09\u9879\u5f0f\u7684\u89e3\u91ca\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5b58\u5728\u7684\u4e0d\u540c\u7c7b\u578b\u7684\u4e09\u9879\u5f0f\uff0c\u4ee5\u53ca\u4e0e\u4e09\u9879\u5f0f\u76f8\u5173\u7684\u6240\u6709\u516c\u5f0f\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-trinomio\"><\/span> \u4ec0\u4e48\u662f\u4e09\u9879\u5f0f\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6570\u5b66\u4e2d\uff0c\u4e09\u9879\u5f0f\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a<\/p>\n<p><strong>\u4e09\u9879\u5f0f\u662f\u4ec5\u7531\u4e09\u4e2a\u5355\u9879\u5f0f\u7ec4\u6210\u7684\u591a\u9879\u5f0f<\/strong>\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4e09\u9879\u5f0f\u662f\u4ec5\u5305\u542b 3 \u4e2a\u4e0d\u540c\u9879\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\uff0c\u8fd9\u4e9b\u9879\u901a\u8fc7\u52a0\u53f7 (+) \u6216\u51cf\u53f7 (-) \u8fde\u63a5\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\/trinome.png\" alt=\"\u4e09\u9879\u5f0f\u662f\u4ec0\u4e48\u610f\u601d\" class=\"wp-image-2905\" width=\"159\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e09\u9879\u5f0f\u4e00\u8bcd\u6765\u81ea\u5e0c\u814a\u8bed\uff0c\u7531\u4e24\u4e2a\u8bcd\u6c47\u6210\u5206\uff08 <em>tri<\/em>\u548c<em>nomos<\/em> \uff09\u7ec4\u6210\uff0c\u5176\u542b\u4e49\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li> <em>sort<\/em> \uff1a\u524d\u7f00\u542b\u4e49 3\u3002<\/li>\n<li> <em>nomos<\/em> \uff1a\u610f\u601d\u662f\u90e8\u5206\u3002<\/li>\n<\/ul>\n<p>\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u63a8\u5bfc\u51fa\u4e09\u9879\u5f0f\u7684\u542b\u4e49\uff1a\u7531\u4e09\u4e2a\u90e8\u5206\uff08\u6216\u4e09\u4e2a\u5355\u9879\u5f0f\uff09\u7ec4\u6210\u7684\u591a\u9879\u5f0f\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u60a8\u5e94\u8be5\u77e5\u9053\uff0c\u5728\u8bb8\u591a\u60c5\u51b5\u4e0b\uff0c\u5bf9\u4e09\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u975e\u5e38\u6709\u7528\u3002\u8981\u5bf9\u591a\u9879\u5f0f\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u6709\u591a\u79cd\u7a0b\u5e8f\uff0c\u4f8b\u5982 FOIL \u4e58\u6cd5\u6cd5\u6216\u9c81\u83f2\u5c3c\u6cd5\u5219\uff0c\u4f46\u5f53\u5b83\u662f\u4e09\u9879\u5f0f\u65f6\uff0c\u901a\u8fc7\u6c42\u89e3\u65b9\u7a0b\u53ef\u4ee5\u66f4\u5feb\u5730\u5b8c\u6210\u3002\u5728<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\">\u5982\u4f55\u56e0\u5f0f\u5206\u89e3 2 \u6b21\u591a\u9879\u5f0f<\/a><\/span><\/strong>\u4e2d\u4e86\u89e3\u6b64\u65b9\u6cd5\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-trinomios\"><\/span>\u4e09\u9879\u5f0f\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u5b8c\u6210\u5bf9\u4e09\u9879\u5f0f\u6982\u5ff5\u7684\u7406\u89e3\uff0c\u6211\u4eec\u5c06\u770b\u5230\u6b64\u7c7b\u591a\u9879\u5f0f\u7684\u51e0\u4e2a\u793a\u4f8b\uff1a<\/p>\n<ul>\n<li>\u4e8c\u6b21\u4e09\u9879\u5f0f\u7684\u793a\u4f8b\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-c62385e8cfd61050e46b1aeba0ce5459_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-5x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"89\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e09\u6b21\u4e09\u9879\u5f0f\u7684\u793a\u4f8b\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-1ecc6c788bc20b31d875b39629faf8af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"96\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li>\u56db\u6b21\u4e09\u9879\u5f0f\u7684\u793a\u4f8b\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-e406a5b6888dc32f4bc32908a3bb0c16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x^4+x^2-8x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"120\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4ec0\u4e48\u662f\u4e09\u9879\u5f0f\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u4e09\u9879\u5f0f\u7684\u4e0d\u540c\u7c7b\u578b\u4ee5\u53ca\u5982\u4f55\u4f7f\u7528\u516c\u5f0f\u8f7b\u677e\u6c42\u89e3\u4e09\u9879\u5f0f\u7684\u8fd0\u7b97\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trinomio-cuadrado-perfecto\"><\/span>\u5b8c\u5168\u5e73\u65b9\u4e09\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5b8c\u7f8e\u5e73\u65b9\u4e09\u9879\u5f0f<\/strong>\uff08\u4e3a\u7b80\u6d01\u8d77\u89c1\u4e5f\u79f0\u4e3a<strong>TCP<\/strong> \uff09\u662f\u901a\u8fc7\u4e8c\u9879\u5f0f\uff08\u52a0\u6cd5\u4e8c\u9879\u5f0f\u6216\u51cf\u6cd5\u4e8c\u9879\u5f0f\uff09\u5e73\u65b9\u83b7\u5f97\u7684\u4e09\u9879\u5f0f\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\/trinome-carre-parfait.png\" alt=\"\u5b8c\u6210\u5b8c\u7f8e\u5e73\u65b9\u4e09\u9879\u5f0f\" class=\"wp-image-2553\" width=\"299\" height=\"300\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u5b8c\u5168\u5e73\u65b9\u4e09\u9879\u5f0f\u7531\u5177\u6709\u4e24\u4e2a\u5b8c\u5168\u5e73\u65b9\u7684\u591a\u9879\u5f0f\uff08\u5176\u5e73\u65b9\u6839\u662f\u7cbe\u786e\u7684\uff09\u548c\u53e6\u4e00\u9879\u7ec4\u6210\uff0c\u8be5\u9879\u662f\u8fd9\u4e24\u4e2a\u5e73\u65b9\u7684\u5e95\u7684\u4e8c\u91cd\u79ef\uff0c\u5176\u7b26\u53f7\u53ef\u4ee5\u662f\u6b63\u6570\u6216\u8d1f\u6570\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5fc5\u987b\u8003\u8651\u5230\u548c\u7684\u5e73\u65b9\u548c\u5dee\u7684\u5e73\u65b9\u662f\u663e\u7740\u6052\u7b49\u5f0f\uff08\u6216\u663e\u7740\u4e58\u79ef\uff09\uff0c\u56e0\u6b64\u5b83\u4eec\u662f\u6570\u5b66\u4e2d\u5e7f\u6cdb\u4f7f\u7528\u7684\u4e24\u4e2a\u516c\u5f0f\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b\u5b50\uff1a<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b1e801a4cc4d2bf8c8691b286cba38a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+6x+9\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"89\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u8fd9\u4e2a\u4f8b\u5b50\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u4e09\u9879\u5f0f\uff0c\u56e0\u4e3a\u5728\u5b83\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u4e2d\u6709\u4e24\u4e2a\u5b8c\u5168\u5e73\u65b9\uff0c\u56e0\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-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e5d\u5206\u4e4b\u4e00\u662f\u6b63\u786e\u7684\uff1a\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-066a548275ed88e26557c66e450cee18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{x^2}=x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d5c9c78ea001d1be6abf9d9d58f232db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{9}=3\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"55\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u800c\u4e14\uff0c\u4e09\u9879\u5f0f\u7684\u6700\u540e\u4e00\u9879<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c74faf95634edd5ba7ba54895c9aea3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"31\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5b83\u662f\u901a\u8fc7\u5c06\u524d\u4e24\u4e2a\u5e73\u65b9\u7684\u5e95\u6570\u76f8\u4e58\u5e76\u4e58\u4ee5 2 \u83b7\u5f97\u7684\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96afb151877bff6626333e94ae128d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2\\cdot x \\cdot 3 = 6x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u672c\u6b21\u7ec3\u4e60\u4e2d\u6240\u6709\u503c\u5f97\u6ce8\u610f\u7684\u7279\u6027\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-1b8a406baf500724d5a58e143cf05f0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+6x+9 =(x+3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5982\u679c\u4f60\u4ed4\u7ec6\u89c2\u5bdf\uff0c\u6211\u4eec\u521a\u624d\u6240\u505a\u7684\u662f\u56e0\u5f0f\u5206\u89e3\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u4e09\u9879\u5f0f\uff0c\u56e0\u4e3a\u6211\u4eec\u6210\u529f\u5730\u56e0\u5f0f\u5206\u89e3\u4e86\u4e09\u9879\u5f0f\u8868\u8fbe\u5f0f\u3002\u56e0\u6b64\uff0c\u8fd9\u4e9b\u516c\u5f0f\u5c06\u5e2e\u52a9\u60a8\u5206\u89e3\u5b8c\u7f8e\u5e73\u65b9\u4e09\u9879\u5f0f\uff0c\u4f46\u5982\u679c\u60a8\u6709\u5174\u8da3\u5206\u89e3\u4efb\u4f55\u5176\u4ed6\u7c7b\u578b\u7684\u4e09\u9879\u5f0f\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u67e5\u770b\u4e0a\u9762\u5173\u4e8e<em>\u4ec0\u4e48\u662f\u4e09\u9879\u5f0f<\/em>\uff08\u5982\u4f55\u5206\u89e3 2 \u6b21\u591a\u9879\u5f0f\uff09\u90e8\u5206\u7684\u94fe\u63a5\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trinomio-al-cuadrado\"><\/span>\u5e73\u65b9\u4e09\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7528\u4e8e\u8ba1\u7b97\u5e73\u65b9\u4e09\u9879\u5f0f\u5e42\u7684\u516c\u5f0f\u4e3a\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\/carre-dun-trinome.png\" alt=\"\u5e73\u65b9\u4e09\u9879\u5f0f\u7684\u516c\u5f0f\" class=\"wp-image-2847\" width=\"378\" height=\"302\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\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\u7684\u4e24\u500d\uff0c\u52a0\u4e0a\u7b2c\u4e00\u9879\u7684\u4e24\u500d\uff0c\u52a0\u4e0a\u7b2c\u4e8c\u9879\u7684\u4e24\u500d\u3002\u7b2c\u4e09\u3002<\/p>\n<p>\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u8ba1\u7b97\u4e09\u9879\u5f0f\u5e73\u65b9\u7684\u4f8b\u5b50\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u4f8b\u5b50\uff1a<\/h3>\n<ul>\n<li>\u8ba1\u7b97\u4ee5\u4e0b\u4e09\u9879\u5f0f\u7684 2 \u6b21\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-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>\u6240\u4ee5\u9996\u5148\u6211\u4eec\u9700\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<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trinomio-al-cubo\"><\/span>\u4e09\u9879\u5f0f\u7684\u4e09\u6b21\u65b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6c42\u4e09\u6b21\u4e09\u9879\u5f0f\u5e42\u7684\u516c\u5f0f\u5982\u4e0b\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\/au-cube-du-trinome.png\" alt=\"\u9f50\u6b21\u4e09\u6b21\u4e09\u9879\u5f0f\" class=\"wp-image-2930\" width=\"448\" height=\"251\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u8981\u8ba1\u7b97\u4ee5\u4e0b\u4e09\u9879\u5f0f\u7684 3 \u6b21\u65b9\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-2fb70975cf271ce076fb2377fb3844da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^2+5x-3\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"110\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p>\u60a8\u5fc5\u987b\u4f7f\u7528\u4e09\u9879\u5f0f\u7acb\u65b9\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-19b7d561533e65f35fa951a6fa29f2d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^3 = a^3+b^3+c^3+3(a+b)(a+c)(b+c)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"389\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u8be5\u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6848\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-e8e31df1b63350a57495a5d29237ff06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\left(x^2+5x-3\\right)^3 &amp; = \\left(x^2\\right)^3+(5x)^3+(-3)^3+3\\left(x^2+5x\\right)\\left(x^2+(-3)\\right)\\bigl(5x+\\left(-3\\right)\\bigr) \\\\[2ex] &amp; = x^6+125x^3-27+3\\left(x^4+5x^3-3x^2-15x\\right)\\bigl(5x-3\\bigr)\\\\[2ex] &amp; = x^6+125x^3-27+3\\left(5x^5+22x^4-30x^3-66x^2+45x\\right) \\\\[2ex] &amp; = x^6+125x^3-27+15x^5+66x^4-90x^3-198x^2+135x \\\\[2ex] &amp; = \\bm{x^6+15x^5+66x^4+35x^3-198x^2+135x-27}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"197\" width=\"602\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trinomio-de-segundo-grado\"><\/span>\u4e8c\u6b21\u4e09\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4ee3\u6570\u4e2d\uff0c\u4e00\u4e2a\u53d8\u91cf<strong>\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f<\/strong>\u53ef\u4ee5\u7528\u8457\u540d\u7684\u4e8c\u6b21\u65b9\u7a0b\u516c\u5f0f\u6765\u6c42\u89e3\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-fa907821a9aced835d381510935a2c24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ax^2+bx+c=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"129\" 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-9cdca238fce8ada66b67851d7bd9e044_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u4ee5\u6c42\u89e3\u4e8c\u6b21\u4e09\u9879\u5f0f\u7ec3\u4e60\u4e3a\u4f8b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa91d7902d1dc20d7adc90f1593b1e0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-2x-3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u5b83\u662f\u4e8c\u6b21\u4e09\u9879\u5f0f\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5e94\u7528\u4e8c\u6b21\u65b9\u7a0b\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-9cdca238fce8ada66b67851d7bd9e044_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u73b0\u5728\u5fc5\u987b\u786e\u5b9a\u6bcf\u4e2a\u672a\u77e5\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-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>\u662f\u6700\u9ad8\u6b21\u5355\u9879\u5f0f\u7684\u7cfb\u6570\uff0c\u5728\u672c\u4f8b\u4e2d\u503c\u4e3a 1\uff0c<\/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\u4e2d\u95f4\u9879\u7684\u7cfb\u6570 -2\uff0c\u6700\u540e\uff0c<\/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>\u4ee3\u8868\u72ec\u7acb\u9879 -3\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8cd9d63de4b4941f033e58ae516bb35c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=1 \\qquad b=-2 \\qquad c=-3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u901a\u8fc7\u66ff\u6362\u5728\u90a3\u91cc\u627e\u5230\u7684\u503c\u6765\u5e94\u7528\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-478fd57bba865780094275d1d07eed4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-(-2) \\pm \\sqrt{(-2)^2 - 4\\cdot 1 \\cdot (-3)}}{2\\cdot 1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"280\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u8ba1\u7b97\u64cd\u4f5c\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-d1af7ce064d9ce80553bad53c51034ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=\\cfrac{+2 \\pm \\sqrt{4 +12}}{2} = \\cfrac{2\\pm \\sqrt{16}}{2} = \\cfrac{2 \\pm 4}{2} = \\begin{cases} \\cfrac{2+4}{2}=3 \\\\[4ex] \\cfrac{2-4}{2} = -1 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"431\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3\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-2e8c86a17e76085ddf1911e889e681c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = 3 \\qquad x=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\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\u60a8\u5c06\u627e\u5230\u4ec0\u4e48\u662f\u4e09\u9879\u5f0f\u7684\u89e3\u91ca\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5b58\u5728\u7684\u4e0d\u540c\u7c7b\u578b\u7684\u4e09\u9879\u5f0f\uff0c\u4ee5\u53ca\u4e0e\u4e09\u9879\u5f0f\u76f8\u5173\u7684\u6240\u6709\u516c\u5f0f\u3002 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%b8%89%e9%a1%b9%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u4e09\u9879\u5f0f<\/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":[20],"tags":[],"class_list":["post-337","post","type-post","status-publish","format-standard","hentry","category-20"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4e09\u9879\u5f0f - \u6570\u5b66<\/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\/\u4e09\u9879\u5f0f\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4e09\u9879\u5f0f - \u6570\u5b66\" \/>\n<meta property=\"og:description\" content=\"\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u4ec0\u4e48\u662f\u4e09\u9879\u5f0f\u7684\u89e3\u91ca\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5b58\u5728\u7684\u4e0d\u540c\u7c7b\u578b\u7684\u4e09\u9879\u5f0f\uff0c\u4ee5\u53ca\u4e0e\u4e09\u9879\u5f0f\u76f8\u5173\u7684\u6240\u6709\u516c\u5f0f\u3002 &hellip; \u4e09\u9879\u5f0f \u67e5\u770b\u5168\u6587 &raquo;\" \/>\n<meta property=\"og:url\" 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