{"id":339,"date":"2023-07-06T01:29:47","date_gmt":"2023-07-06T01:29:47","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%bc%8f\/"},"modified":"2023-07-06T01:29:47","modified_gmt":"2023-07-06T01:29:47","slug":"%e4%ba%8c%e9%a1%b9%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%bc%8f\/","title":{"rendered":"\u4e8c\u9879\u5f0f"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u4e8c\u9879\u5f0f\u662f\u4ec0\u4e48\u7684\u89e3\u91ca\uff0c\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u6bcf\u79cd\u7c7b\u578b\u4e8c\u9879\u5f0f\u7684\u793a\u4f8b\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5411\u60a8\u5c55\u793a\u7528\u4e8e\u89e3\u51b3\u4e8c\u9879\u5f0f\u8fd0\u7b97\u7684\u516c\u5f0f\uff1a\u4e8c\u9879\u5f0f\u4e58\u6cd5\u3001\u4e8c\u9879\u5f0f\u5e73\u65b9\u3001\u4e8c\u9879\u5f0f\u7acb\u65b9\u2026\u2026<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-binomio\"><\/span> \u4ec0\u4e48\u662f\u4e00\u5bf9\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4ee3\u6570\u4e2d\uff0c\u4e8c\u9879\u5f0f\u7684\u5b9a\u4e49\u662f\uff1a<\/p>\n<p><strong>\u4e8c\u9879\u5f0f\u662f\u4ec5\u7531\u4e24\u4e2a\u5355\u9879\u5f0f\u7ec4\u6210\u7684\u591a\u9879\u5f0f<\/strong>\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4e8c\u9879\u5f0f\u7531\u4e00\u4e2a\u4ee3\u6570\u8868\u8fbe\u5f0f\u7ec4\u6210\uff0c\u8be5\u4ee3\u6570\u8868\u8fbe\u5f0f\u4ec5\u5305\u542b\u7531\u52a0\u53f7 (+) \u6216\u51cf\u53f7 (-) \u8fde\u63a5\u7684 2 \u4e2a\u4e0d\u540c\u9879\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\/binome.png\" alt=\"\u4ec0\u4e48\u662f\u4e8c\u9879\u5f0f\" class=\"wp-image-2992\" width=\"159\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e8c\u9879\u5f0f\u4e00\u8bcd\u6765\u81ea\u5e0c\u814a\u8bed\uff0c\u7531\u4e24\u4e2a\u8bcd\u6c47\u6210\u5206\uff08 <em>bi<\/em>\u548c<em>nomos<\/em> \uff09\u7ec4\u6210\uff0c\u542b\u4e49\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li> <em>bi<\/em> : \u524d\u7f00\uff0c\u610f\u601d\u662f 2\u3002<\/li>\n<li> <em>nomos<\/em> \uff1a\u610f\u601d\u662f\u90e8\u5206\u3002<\/li>\n<\/ul>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u63a8\u5bfc\u51fa\u4e8c\u9879\u5f0f\u7684\u542b\u4e49\uff1a\u5177\u6709\u4e24\u90e8\u5206\uff08\u62162\u4e2a\u5355\u9879\u5f0f\uff09\u7684\u591a\u9879\u5f0f\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u201c\u914d\u5bf9\u201d\u7684\u6982\u5ff5\u8fd8\u6709\u6570\u5b66\u610f\u4e49\u4e4b\u5916\u7684\u53e6\u4e00\u79cd\u542b\u4e49\uff0c\u5373\u201c\u914d\u5bf9\u201d\u8fd8\u53ef\u4ee5\u6307\u5728\u653f\u6cbb\u751f\u6d3b\u3001\u67d0\u4e9b\u4f53\u80b2\u5b66\u79d1\u751a\u81f3\u5a31\u4e50\u9886\u57df\u4e2d\u8d77\u4e3b\u5bfc\u4f5c\u7528\u7684\u4e00\u7ec4\u4e24\u4e2a\u4eba\u7269\u3002 \u3002\u4f46\u662f\uff0c\u663e\u7136\uff0c\u6211\u4eec\u5728\u8fd9\u91cc\u5c06\u91cd\u70b9\u5173\u6ce8\u4e8c\u9879\u5f0f\u7684\u6570\u5b66\u5b9a\u4e49\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-binomios\"><\/span>\u4e8c\u9879\u5f0f\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u5b8c\u6210\u5bf9\u4e8c\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\u4e8c\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-05fba89f2955eb2762904c8527e26aa8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+4x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"58\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e09\u9636\u4e8c\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-ae722155bf9498cffea4c08b7015fbee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li>\u56db\u6b21\u4e8c\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-0e6e322cb58245ab80d095c0a81fc631_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^4+8x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"74\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4ec0\u4e48\u662f\u4e8c\u9879\u5f0f\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u4e8c\u9879\u5f0f\u7684\u4e0d\u540c\u7c7b\u578b\u4ee5\u53ca\u5982\u4f55\u89e3\u51b3\u4e8c\u9879\u5f0f\u8fd0\u7b97\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Binomio-al-cuadrado\"><\/span>\u4e8c\u9879\u5f0f\u5e73\u65b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5e73\u65b9\u4e8c\u9879\u5f0f<\/strong>\u662f\u663e\u7740\u6052\u7b49\u5f0f\uff0c\u4e5f\u79f0\u4e3a\u663e\u7740\u4e58\u79ef\u6216\u663e\u7740\u7b49\u5f0f\u3002\u6c42\u89e3\u4e8c\u9879\u5f0f 2 \u7684\u5e42\u53d6\u51b3\u4e8e\u5b83\u662f\u548c\u4e8c\u9879\u5f0f\u8fd8\u662f\u5dee\u4e8c\u9879\u5f0f\u3002<\/p>\n<p>\u4e8c\u9879\u5f0f\u548c\u662f\u6307\u4e24\u9879\u5747\u4e3a\u6b63\u7684\u4e8c\u9879\u5f0f\uff0c\u4e5f\u5c31\u662f\u8bf4\u4e8c\u9879\u5f0f\u5e73\u65b9\u548c\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-ef98ef741811c17cd99e75e5f848ea69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5dee\uff08\u6216\u51cf\uff09\u4e8c\u9879\u5f0f\u662f\u52a0\u6cd5\u4e8c\u9879\u5f0f\u7684\u5171\u8f6d\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u7684\u4e00\u4e2a\u5355\u9879\u5f0f\u5177\u6709\u8d1f\u53f7\u3002\u56e0\u6b64\uff0c\u4e8c\u9879\u5f0f\u5dee\u5e73\u65b9\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f88949b2f3fcc20e9d00f495e471cf2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u8ba1\u7b97\u5e73\u65b9\u4e8c\u9879\u5f0f\uff0c\u60a8\u5fc5\u987b\u5e94\u7528\u4e00\u4e2a\u516c\u5f0f\uff0c\u6b63\u5982\u6211\u4eec\u6240\u89c1\uff0c\u8be5\u516c\u5f0f\u6839\u636e\u662f\u52a0\u6cd5\u8fd8\u662f\u51cf\u6cd5\u800c\u53d8\u5316\u3002\u4e86\u89e3\u8fd9\u662f\u5982\u4f55\u5728<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;\">\u663e\u7740\u7b49\u5f0f\u7684\u516c\u5f0f<\/span><\/strong><\/a>\u4e2d\u5b8c\u6210\u7684\uff0c\u60a8\u53ef\u4ee5\u5728\u5176\u4e2d\u770b\u5230\u6240\u6709\u5206\u6b65\u89e3\u91ca\u4ee5\u53ca\u793a\u4f8b\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u5e76\u4e14\u4e0d\u4ec5\u662f\u8fd9\u4e24\u4e2a\u663e\u7740\u7b49\u5f0f\uff0c\u800c\u662f\u6240\u6709\u8fd9\u4e9b\u7b49\u5f0f\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Binomio-al-cubo\"><\/span>\u4e8c\u9879\u5f0f\u7acb\u65b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c3d\u7ba1\u4e0d\u592a\u5e38\u7528\uff0c<strong>\u7acb\u65b9\u4e8c\u9879\u5f0f<\/strong>\u4e5f\u88ab\u8ba4\u4e3a\u662f\u8457\u540d\u7684\u4ea7\u54c1\u3002\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u6709\u4e00\u4e9b\u6570\u5b66\u89c4\u5219\u53ef\u4ee5\u8ba9\u60a8\u5feb\u901f\u627e\u5230\u4e8c\u9879\u5f0f\u7684\u7acb\u65b9\uff08\u60a8\u53ef\u4ee5\u5728\u4e0a\u9762<em><span style=\"text-decoration: underline;\">\u8457\u540d\u7684\u6052\u7b49\u5f0f\u516c\u5f0f\u7684<\/span><\/em>\u94fe\u63a5\u4e2d\u770b\u5230\u5b83\u4eec\uff09\u3002<\/p>\n<p>\u548c\u4e4b\u524d\u4e00\u6837\uff0c\u8fd9\u4e2a\u589e\u5f3a\u7684\u7ed3\u679c\u53d6\u51b3\u4e8e\u5b83\u662f\u5426\u662f\u603b\u548c\u7684\u7acb\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-380239d5f1b18e11f3b6b0931a4f14d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6216\u8005\u76f8\u53cd\uff0c\u5982\u679c\u5e42\u7531\u5dee\u503c\u6216\u51cf\u6cd5\u7684\u7acb\u65b9\u6784\u6210\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-6a48c875098bfee5d50068c1f0e7296d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4ece\u903b\u8f91\u4e0a\u8bb2\uff0c\u5e73\u65b9\u4e8c\u9879\u5f0f\u548c\u7acb\u65b9\u4e8c\u9879\u5f0f\u4e4b\u95f4\u7684\u4e3b\u8981\u533a\u522b\u5728\u4e8e\u5e42\u6307\u6570\u3002\u7136\u800c\uff0c\u4e09\u6b21\u4e8c\u9879\u5f0f\u7684\u516c\u5f0f\u6bd4\u5e73\u65b9\u4e8c\u9879\u5f0f\u7684\u516c\u5f0f\u590d\u6742\u5f97\u591a\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Binomios-notables\"><\/span>\u503c\u5f97\u6ce8\u610f\u7684\u534f\u8bae<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7279\u522b\u662f\u67d0\u4e9b\u7c7b\u578b\u7684\u4e8c\u9879\u5f0f\u7531\u4e8e\u5176\u7279\u5f81\u800c\u6709\u4e9b\u7279\u6b8a\uff0c\u56e0\u4e3a\u5b83\u4eec\u5bf9\u5e94\u4e8e\u9c9c\u4e3a\u4eba\u77e5\u7684\u663e\u7740\u8eab\u4efd\uff08\u6216\u663e\u7740\u4ea7\u54c1\uff09\u3002<\/p>\n<ul>\n<li>\u5e73\u65b9\u548c\uff1a\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4609cf46d75484e45152fba69537c2ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"54\" style=\"vertical-align: -2px;\"><\/p>\n<\/li>\n<li>\u5e73\u65b9\u5dee\uff08\u6216\u51cf\u6cd5\uff09\uff1a\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e8c1ff5ed178c14d02192ff8c85b93b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"54\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li>\u7acb\u65b9\u548c\uff1a\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-945df8cc421a5647ed318b39d5e031f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"54\" style=\"vertical-align: -2px;\"><\/p>\n<\/li>\n<li>\u7acb\u65b9\u7684\u5dee\uff08\u6216\u51cf\uff09\uff1a\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-932403564d7ffe6622096bd031b4fd28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"54\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u91d1\u5b50<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-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>\u548c<\/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>\u662f\u4efb\u610f\u4e24\u4e2a\u5355\u9879\u5f0f\u3002<\/p>\n<p>\u867d\u7136\u8fd9\u4e9b\u4e8c\u9879\u5f0f\u8868\u8fbe\u5f0f\u770b\u8d77\u6765\u5f88\u50cf\u6211\u4eec\u4e0a\u9762\u770b\u5230\u7684\u90a3\u4e9b\uff08\u4e8c\u9879\u5f0f\u5e73\u65b9\u548c\u4e8c\u9879\u5f0f\u7acb\u65b9\uff09\uff0c\u4f46\u5982\u679c\u4ed4\u7ec6\u89c2\u5bdf\u5b83\u4eec\u662f\u4e0d\u540c\u7684\u3002\u4ece\u8fd9\u4e2a\u610f\u4e49\u4e0a\u8bf4\uff0c\u60a8\u8fd8\u53ef\u4ee5\u901a\u8fc7\u5355\u51fb\u4e0a\u9762\u7684\u94fe\u63a5 \u2b06 \u663e\u7740\u6052\u7b49\u5f0f\u7684\u516c\u5f0f\u6765\u67e5\u770b<em><span style=\"text-decoration: underline;\">\u663e\u7740\u4e8c\u9879\u5f0f\u7684\u516c\u5f0f<\/span><\/em>\u53ca\u5176\u63a8\u5bfc\u3002\u2b06 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-binomios\"><\/span>\u4e8c\u9879\u5f0f\u4e58\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8c\u9879\u5f0f\u6700\u5e38\u89c1\u7684\u8fd0\u7b97\u4e4b\u4e00\u662f\u4e58\u6cd5\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u5c06\u770b\u5230\u4e00\u4e2a\u5982\u4f55\u8ba1\u7b97\u4e8c\u9879\u5f0f\u4e4b\u95f4\u7684\u4e58\u6cd5\u7684\u793a\u4f8b\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-47234e6d6426b9822cf5b535eeb2d93f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x^2+2x)\\cdot (x-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"138\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u8ba1\u7b97\u4e8c\u9879\u5f0f\u4e58\u6cd5\uff0c\u6211\u4eec\u5fc5\u987b\u9996\u5148\u5c06\u7b2c\u4e00\u4e2a\u4e8c\u9879\u5f0f\u4e2d\u7684\u6bcf\u4e00\u9879\u4e58\u4ee5\u7b2c\u4e8c\u9879\u5f0f\u4e2d\u7684\u6bcf\u4e00\u9879\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-35c53275367a4876b719354ba10220a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\\cdot x+x^2\\cdot (-5)+2x\\cdot x +2x\\cdot (-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"283\" 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-8bac17566196aeb84f84fcabbec84ed0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3-5x^2+2x^2 -10x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"164\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u76f8\u4f3c\u7684\u672f\u8bed\u5206\u7ec4\uff0c\u5373\u5b83\u4eec\u5177\u6709\u76f8\u540c\u7684\u5b57\u9762\u90e8\u5206\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-6b1a70c63520e6d05a13d725480c7ba3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{x^3-3x^2 -10x}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u6211\u4eec\u8bbe\u6cd5\u627e\u5230\u4e86\u4e24\u5bf9\u4e4b\u95f4\u7684\u4e58\u79ef\u7684\u7ed3\u679c\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Producto-de-dos-binomios-con-un-termino-comun\"><\/span>\u5177\u6709\u5171\u540c\u9879\u7684\u4e24\u4e2a\u4e8c\u9879\u5f0f\u7684\u4e58\u79ef<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5f53\u53c2\u4e0e\u4e58\u6cd5\u7684\u4e8c\u9879\u5f0f\u4ee5\u53d8\u91cf\u4f5c\u4e3a\u516c\u9879\u65f6<\/p>\n<\/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>\u6709\u4e00\u4e2a\u516c\u5f0f\u53ef\u4ee5\u5feb\u901f\u8ba1\u7b97\u8fd9\u4e2a\u4e8c\u9879\u5f0f\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-0d402b74334bc5f53aec7f1ed85a2f5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+a)(x+b) = x^2+(a+b)x+ab\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"272\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u5411\u60a8\u5c55\u793a\u4e00\u4e2a\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u60a8\u4e86\u89e3\u5982\u4f55\u5e94\u7528\u6b64\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-8447db6a2246c09b2e7be29f8050a3d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (x+4)(x+5) &amp;= x^2+(4+5)x+4\\cdot 5 \\\\[2ex] &amp; = x^2+9x+20 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"286\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Binomio-de-Newton\"><\/span>\u725b\u987f\u4e8c\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u725b\u987f\u4e8c\u9879\u5f0f<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u4e8c\u9879\u5f0f\u5b9a\u7406\uff0c<\/strong>\u662f\u7528\u4e8e\u8ba1\u7b97\u4e8c\u9879\u5f0f\u5e42\u7684\u516c\u5f0f\u3002 <\/p>\n<div style=\"background-color:#ffebee;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px; border-radius:20px;\">\n<p style=\"text-align:left\"><strong>\u725b\u987f\u4e8c\u9879\u5f0f\u7684\u6570\u5b66\u516c\u5f0f<\/strong>\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73be038011b09c44860e6a3aac0ddeee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( a+b\\right)^n = &amp; \\sum_{k=0}^{n}\\begin{pmatrix} n\\\\ k\\end{pmatrix}x^{n-k}y^k\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"206\" style=\"vertical-align: -22px;\"><\/p>\n<\/p>\n<p>\u6216\u540c\u7b49\u5b66\u5386\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-19bab1dcab88a71b5b3bed39bf09cc73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( a+b\\right)^n =\\begin{pmatrix} n \\\\ 0 \\end{pmatrix} \\right)a^n b^0 + \\begin{pmatrix} n \\\\ 1 \\end{pmatrix} a^{n-1}b^{1} + \\begin{pmatrix} n \\\\ 2 \\end{pmatrix} a^{n-2}b^{2} + \\dots + \\begin{pmatrix} n \\\\ n \\end{pmatrix} a^0 b^{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"520\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<\/div>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u8fd9\u4e2a\u516c\u5f0f\u7406\u89e3\u8d77\u6765\u6709\u70b9\u590d\u6742\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u5c06\u6700\u4f4e\u6b21\u4e8c\u9879\u5f0f\u7684\u5e42\u5236\u4f5c\u5982\u4e0b\uff0c\u4ee5\u4fbf\u60a8\u66f4\u597d\u5730\u7406\u89e3\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\/formule-binomiale-ou-theoreme-de-newton.jpg\" alt=\"\u725b\u987f\u4e8c\u9879\u5f0f\u5b9a\u7406\u7684\u516c\u5f0f\" class=\"wp-image-2126\" width=\"578\" height=\"578\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u8fd9\u4e2a\u516c\u5f0f\u5bf9\u4e8e\u8ba1\u7b97\u4e8c\u9879\u5f0f\u7684\u5e73\u65b9\u6216\u7acb\u65b9\u53ef\u80fd\u6709\u70b9\u4e4f\u5473\uff0c\u56e0\u4e3a\u6b63\u5982\u6211\u4eec\u4e0a\u9762\u770b\u5230\u7684\uff0c\u6709\u66f4\u7b80\u5355\u7684\u516c\u5f0f\u3002\u7136\u800c\uff0c\u725b\u987f\u4e8c\u9879\u5f0f\u5bf9\u4e8e\u6c42\u66f4\u9ad8\u6b21\u65b9\u7684\u5e42\u975e\u5e38\u6709\u7528\uff0c\u4f8b\u5982\uff0c\u5b83\u88ab\u5e7f\u6cdb\u7528\u4e8e\u786e\u5b9a\u56db\u6b21\u4e8c\u9879\u5f0f\u3002<\/p>\n<p>\u4f46\u8981\u5e94\u7528\u8fd9\u4e2a\u516c\u5f0f\uff0c\u4f60\u5fc5\u987b\u77e5\u9053\u5982\u4f55\u8ba1\u7b97\u7ec4\u5408\u6570\uff0c\u5373\u7c7b\u578b\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59b5fcabfa89714b1a55cbd237e405ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{pmatrix} 4 \\\\ 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"29\" style=\"vertical-align: -17px;\"><\/p>\n<p>\uff0c\u8ba1\u7b97\u5e76\u4e0d\u5bb9\u6613\u3002 \ud83d\udd0d<span style=\"text-decoration: underline;\">\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u5efa\u8bae\u60a8\u5728\u53f3\u4e0a\u89d2\u7684\u641c\u7d22\u5f15\u64ce\u4e2d\u641c\u7d22\u8fd9\u662f\u5982\u4f55\u5b8c\u6210\u7684<\/span>\ud83d\udd0e\uff0c\u60a8\u4f1a\u627e\u5230\u6211\u4eec\u7684\u6587\u7ae0\uff0c\u6211\u4eec\u5c06\u9010\u6b65\u5411\u60a8\u89e3\u91ca\u6b64\u64cd\u4f5c\u3002<\/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\u4e8c\u9879\u5f0f\u662f\u4ec0\u4e48\u7684\u89e3\u91ca\uff0c\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u6bcf\u79cd\u7c7b\u578b\u4e8c\u9879\u5f0f\u7684\u793a\u4f8b\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5411\u60a8\u5c55\u793a\u7528\u4e8e\u89e3\u51b3\u4e8c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u4e8c\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":[2],"tags":[],"class_list":["post-339","post","type-post","status-publish","format-standard","hentry","category-2"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4e8c\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\/\u4e8c\u9879\u5f0f\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4e8c\u9879\u5f0f - \u6570\u5b66\" \/>\n<meta property=\"og:description\" content=\"\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u4e8c\u9879\u5f0f\u662f\u4ec0\u4e48\u7684\u89e3\u91ca\uff0c\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u6bcf\u79cd\u7c7b\u578b\u4e8c\u9879\u5f0f\u7684\u793a\u4f8b\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5411\u60a8\u5c55\u793a\u7528\u4e8e\u89e3\u51b3\u4e8c &hellip; \u4e8c\u9879\u5f0f \u67e5\u770b\u5168\u6587 &raquo;\" \/>\n<meta property=\"og:url\" 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