{"id":327,"date":"2023-07-06T04:43:17","date_gmt":"2023-07-06T04:43:17","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%8d%95%e4%bd%93\/"},"modified":"2023-07-06T04:43:17","modified_gmt":"2023-07-06T04:43:17","slug":"%e5%8d%95%e4%bd%93","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%8d%95%e4%bd%93\/","title":{"rendered":"\u5355\u9879\u5f0f"},"content":{"rendered":"<p>\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u60a8\u9700\u8981\u4e86\u89e3\u7684\u6709\u5173\u5355\u9879\u5f0f\u7684\u6240\u6709\u4fe1\u606f\uff1a\u5b83\u4eec\u662f\u4ec0\u4e48\u3001\u5b83\u4eec\u7684\u7ec4\u6210\u90e8\u5206\u662f\u4ec0\u4e48\uff08\u4ee5\u53ca\u5982\u4f55\u8bc6\u522b\u5b83\u4eec\uff09\u3001\u5355\u9879\u5f0f\u7684\u4e0d\u540c\u7c7b\u578b\u3001\u5982\u4f55\u4f7f\u7528\u5355\u9879\u5f0f\u8ba1\u7b97\u8fd0\u7b97\u3001\u5355\u9879\u5f0f\u7684\u6570\u503c\u3002 .. \u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u9010\u6b65\u89e3\u51b3\u5355\u9879\u5f0f\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-son-los-monomios\"><\/span>\u4ec0\u4e48\u662f\u5355\u9879\u5f0f\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u6570\u5b66\u4e2d\uff0c\u5355\u9879\u5f0f\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"><strong>\u5355\u9879\u5f0f<\/strong>\u662f\u7531\u6570\u5b57\u548c\u5b57\u6bcd\u7ec4\u5408\u5f62\u6210\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u5355\u9879\u5f0f\u7531\u4e00\u4e2a\u6570\u5b57\u548c\u4e00\u4e2a\u6216\u591a\u4e2a\u6307\u6570\u53d8\u91cf\uff08\u5b57\u6bcd\uff09\u4e4b\u95f4\u7684\u4e58\u79ef\u7ec4\u6210\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u672f\u8bed 7x <sup>3<\/sup> y <sup>2<\/sup>\u79f0\u4e3a\u5355\u9879\u5f0f\uff0c\u56e0\u4e3a\u5b83\u6709\u4e00\u4e2a\u6570\u5b57 (7) \u548c\u4e0d\u540c\u7684\u5b57\u6bcd (x, y)\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\/quest-ce-quun-monome-1.png\" alt=\"\u4ec0\u4e48\u662f\u5355\u9879\u5f0f\" class=\"wp-image-2614\" width=\"205\" height=\"206\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Partes-de-un-monomio\"><\/span>\u5355\u9879\u5f0f\u7684\u90e8\u5206<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u5df2\u7ecf\u4e86\u89e3\u4e86\u5355\u9879\u5f0f\u7684\u542b\u4e49\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u5355\u9879\u5f0f\u7684\u6240\u6709\u90e8\u5206\u662f\u4ec0\u4e48\uff1a<\/p>\n<ul>\n<li><strong>\u7cfb\u6570<\/strong>\uff1a\u662f\u5355\u9879\u5f0f\u7684\u53d8\u91cf\uff08\u6216\u5b57\u6bcd\uff09\u76f8\u4e58\u7684\u6570\u5b57\u3002<\/li>\n<li><strong>\u53d8\u91cf<\/strong>\uff1a\u662f\u5355\u9879\u5f0f\u4e2d\u51fa\u73b0\u7684\u6bcf\u4e2a\u5b57\u6bcd\u3002<\/li>\n<li><strong>\u6587\u5b57\u90e8\u5206<\/strong>\uff1a\u5bf9\u5e94\u4e8e\u6784\u6210\u5355\u9879\u5f0f\u7684\u6240\u6709\u53d8\u91cf\u53ca\u5176\u5404\u81ea\u7684\u6307\u6570\u3002<\/li>\n<li><strong>\u5ea6\u6570<\/strong>\uff1a\u7531\u6784\u6210\u5355\u9879\u5f0f\u7684\u5b57\u6bcd\u7684\u6240\u6709\u6307\u6570\u4e4b\u548c\u7ec4\u6210\u3002 <\/li>\n<\/ul>\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\/parties-d-un-monome.jpg\" alt=\"\u5355\u9879\u5f0f\u8ba1\u7b97\u5668\" class=\"wp-image-273\" width=\"397\" height=\"222\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e0a\u4f8b\u4e2d\u5355\u9879\u5f0f\u7684\u7cfb\u6570\u4e3a 8\uff0c\u56e0\u4e3a\u5b83\u662f\u4e0e\u53d8\u91cf\u76f8\u4e58\u7684\u6570\u5b57\u3002\u6b64\u5916\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5355\u9879\u5f0f\u53ea\u6709\u4e00\u4e2a\u53d8\u91cf\uff0c\u5373 x\u3002\u56e0\u6b64\uff0c\u5355\u9879\u5f0f\u7684\u6587\u5b57\u90e8\u5206\u7531\u8be5\u53d8\u91cf\u52a0\u4e0a\u5176\u6307\u6570\uff08\u5373 x <sup>2 \uff09<\/sup>\u7ec4\u6210\u3002\u6700\u540e\uff0c\u5355\u9879\u5f0f\u7684\u6b21\u6570\u4e3a 2\uff0c\u56e0\u4e3a\u5b83\u662f\u5b83\u552f\u4e00\u7684\u6307\u6570\u3002<\/p>\n<p>\u73b0\u5728\u5c1d\u8bd5\u89e3\u51b3\u5355\u9879\u5f0f\u5404\u90e8\u5206\u7684\u4ee5\u4e0b\u7ec3\u4e60\uff1a<\/p>\n<ul>\n<li>\u8bc6\u522b\u4e0b\u5217\u5355\u9879\u5f0f\u7684\u6240\u6709\u90e8\u5206\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-a33a0c50ab928209397e5713fe1ec331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^4y^2z\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -4px;\"><\/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\">\u8be5\u9648\u8ff0\u7684\u5355\u9879\u5f0f\u7684\u7ec4\u6210\u90e8\u5206\u662f\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\/exercices-resolus-pas-a-pas-de-monomes.png\" alt=\"\u9010\u6b65\u89e3\u51b3\u5355\u9879\u5f0f\u7684\u7ec3\u4e60\" class=\"wp-image-2618\" width=\"479\" height=\"182\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u95ee\u9898\u4e2d\u5355\u9879\u5f0f\u7684\u7cfb\u6570\u662f 5\uff0c\u56e0\u4e3a\u5b83\u662f\u4e0e\u5b57\u6bcd\u76f8\u4e58\u7684\u9879\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u8be5\u5355\u9879\u5f0f\u7684\u53d8\u91cf\u662f x\u3001y\u3001z\u3002\u7b2c\u4e09\uff0c\u5355\u9879\u5f0f\u7684\u6587\u5b57\u90e8\u5206\u5bf9\u5e94\u4e8e\u8868\u8fbe\u5f0f x <sup>4<\/sup> y <sup>2<\/sup> z\u3002\u6700\u540e\uff0c\u5355\u9879\u5f0f\u7684\u6b21\u6570\u7b49\u4e8e\u53d8\u91cf\u6240\u6709\u6307\u6570\u7684\u603b\u548c\uff0c\u53737 (4+2+1=7)\u3002<\/p>\n<p class=\"has-text-align-left\">\u8bf7\u6ce8\u610f\uff0c\u5f53\u4e00\u4e2a\u5b57\u6bcd\u6ca1\u6709\u6307\u6570\u65f6\uff0c\u5b9e\u9645\u4e0a\u610f\u5473\u7740\u5b83\u7684\u6307\u6570\u4e3a 1\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u8ba1\u7b97\u95ee\u9898\u7684\u5355\u9879\u5f0f\u6b21\u6570\uff0c\u6211\u4eec\u6dfb\u52a0\u4e00\u4e2a\u8868\u793a\u53d8\u91cf z \u7684\u6307\u6570\u7684\u5355\u4f4d\u3002 <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tipos-de-monomios\"><\/span>\u5355\u9879\u5f0f\u7684\u7c7b\u578b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5355\u9879\u5f0f\u6709\u4e0d\u540c\u7c7b\u578b\uff0c\u6bcf\u79cd\u7c7b\u578b\u90fd\u6709\u81ea\u5df1\u7684\u5c5e\u6027\u3002\u6700\u91cd\u8981\u7684\u5355\u9879\u5f0f\u662f\u76f8\u4f3c\u5355\u9879\u5f0f\u3001\u540c\u8d28\u5355\u9879\u5f0f\u3001\u5f02\u8d28\u5355\u9879\u5f0f\u548c\u76f8\u53cd\u5355\u9879\u5f0f\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u5c06\u770b\u5230\u6bcf\u79cd\u7c7b\u578b\u7684\u7279\u5f81\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-semejantes\"><\/span>\u76f8\u4f3c\u7684\u5355\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u76f8\u4f3c\u5355\u9879\u5f0f<\/strong>\u662f\u5177\u6709\u76f8\u540c\u5b57\u9762\u90e8\u5206\u7684\u5355\u9879\u5f0f\u3002\u56e0\u6b64\uff0c\u5f53\u4e24\u4e2a\u6216\u591a\u4e2a\u5355\u9879\u5f0f\u5177\u6709\u76f8\u540c\u7684\u5b57\u6bcd\u548c\u6307\u6570\u65f6\uff0c\u5b83\u4eec\u662f\u76f8\u4f3c\u7684\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4e24\u4e2a\u5355\u9879\u5f0f\u662f\u76f8\u4f3c\u7684\uff0c\u56e0\u4e3a\u5c3d\u7ba1\u5b83\u4eec\u5177\u6709\u4e0d\u540c\u7684\u7cfb\u6570\uff0c\u4f46\u5b83\u4eec\u7531\u76f8\u540c\u7684\u53d8\u91cf\u5f62\u6210\u5e76\u63d0\u5347\u5230\u76f8\u540c\u7684\u6307\u6570\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-df5205b8785a8a15f05c0e844ce5773b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^5y^3 \\qquad \\qquad 9x^5y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"158\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u6211\u4eec\u7a0d\u540e\u5c06\u770b\u5230\u7684\uff0c\u8fd9\u79cd\u7c7b\u578b\u7684\u5355\u9879\u5f0f\u7528\u4e8e\u6c42\u89e3\u5355\u9879\u5f0f\u7684\u8fd0\u7b97\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-homogeneos\"><\/span>\u9f50\u6b21\u5355\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5f53\u4e24\u4e2a<strong>\u5355\u9879\u5f0f\u7684<\/strong>\u7edd\u5bf9\u6b21\u6570<strong>\u76f8\u7b49<\/strong>\u65f6\uff0c\u5b83\u4eec\u662f\u9f50\u6b21\u7684\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4e24\u4e2a\u5355\u9879\u5f0f\u662f\u9f50\u6b21\u7684\uff0c\u56e0\u4e3a\u4e24\u8005\u7684\u6b21\u6570\u90fd\u7b49\u4e8e 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-4cb298acd6787ecae62fc280813c14d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^5 \\qquad \\qquad 6x^2y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u7b2c\u4e00\u4e2a\u5355\u9879\u5f0f\u6709\u4e00\u4e2a\u53d8\u91cf\u7684 5 \u6b21\u65b9\uff0c\u56e0\u6b64\u5176\u6b21\u6570\u4e3a 5\u3002\u7b2c\u4e8c\u4e2a\u591a\u9879\u5f0f\u6709\u4e00\u4e2a\u53d8\u91cf\u7684\u5e73\u65b9\u548c\u53e6\u4e00\u4e2a\u53d8\u91cf\u7684\u7acb\u65b9\uff0c\u56e0\u6b64\u5176\u6b21\u6570\u4e5f\u662f 5 (2+ 3 =5)\u3002<\/p>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u8981\u4f7f\u4e24\u4e2a\u5355\u9879\u5f0f\u9f50\u6b21\uff0c\u5b83\u4eec\u4e0d\u9700\u8981\u5177\u6709\u76f8\u540c\u7684\u6587\u5b57\u90e8\u5206\uff0c\u800c\u53ea\u9700\u5177\u6709\u76f8\u540c\u7684\u7edd\u5bf9\u6b21\u6570\u5373\u53ef\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-heterogeneos\"><\/span>\u5f02\u8d28\u5355\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5f02\u8d28\u5355\u9879\u5f0f<\/strong>\u662f\u4e0d\u5177\u6709\u76f8\u540c\u7edd\u5bf9\u6b21\u6570\u7684\u5355\u9879\u5f0f\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5f02\u8d28\u5355\u9879\u5f0f\u4e0e\u540c\u8d28\u5355\u9879\u5f0f\u76f8\u53cd\u3002<\/p>\n<p>\u4ee5\u4e0b 3 \u4e2a\u5355\u9879\u5f0f\u662f\u5f02\u8d28\u7684\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u5355\u9879\u5f0f\u7684\u6b21\u6570\u4e0d\u540c\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-81a26087564f254d3ee2fb15c56c8844_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^8 \\qquad  3xy \\qquad 7a^9b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"158\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u7b2c\u4e00\u4e2a\u5355\u9879\u5f0f\u7684\u6b21\u6570\u4e3a 8\uff0c\u7b2c\u4e8c\u4e2a\u5355\u9879\u5f0f\u7684\u6b21\u6570\u4e3a 2\uff0c\u7b2c\u4e09\u4e2a\u5355\u9879\u5f0f\u7684\u6b21\u6570\u4e3a 11\u3002\u56e0\u6b64\uff0c\u8fd9\u4e09\u4e2a\u5355\u9879\u5f0f\u5f7c\u6b64\u5f02\u8d28\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-opuestos\"><\/span>\u76f8\u53cd\u7684\u5355\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u76f8\u53cd\u5355\u9879\u5f0f<\/strong>\u662f\u9f50\u6b21\uff08\u5177\u6709\u76f8\u540c\u6587\u5b57\u90e8\u5206\uff09\u7684\u5355\u9879\u5f0f\uff0c\u800c\u4e14\u5b83\u4eec\u7684\u7cfb\u6570\u76f8\u53cd\uff0c\u5373\u5b83\u4eec\u7684\u7cfb\u6570\u5177\u6709\u76f8\u540c\u7684\u503c\u4f46\u7b26\u53f7\u76f8\u53cd\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4e24\u4e2a\u5355\u9879\u5f0f\u662f\u76f8\u53cd\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-ecd14c60524b881eb0ee1eb1b83261a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^5y^2 \\qquad  \\qquad -3x^5y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"179\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u524d\u9762\u7684\u4e24\u4e2a\u5355\u9879\u5f0f\u662f\u76f8\u53cd\u7684\uff0c\u56e0\u4e3a\u5b83\u4eec\u4ec5\u5728\u7b26\u53f7\u4e0a\u4e0d\u540c\uff0c\u7b2c\u4e00\u4e2a\u6709\u6b63\u53f7\uff0c\u7b2c\u4e8c\u4e2a\u6709\u8d1f\u53f7\u3002<\/p>\n<p>\u73b0\u5728\u60a8\u5df2\u7ecf\u770b\u5230\u4e86\u5355\u9879\u5f0f\u7684\u51e0\u4e2a\u793a\u4f8b\uff0c\u60a8\u53ef\u80fd\u5bf9\u53e6\u4e00\u4e2a\u7c7b\u4f3c\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u611f\u5174\u8da3\uff1a<strong>\u4e8c\u9879\u5f0f<\/strong>\u3002\u4e8b\u5b9e\u4e0a\uff0c\u4e8c\u9879\u5f0f\u662f\u7531\u51e0\u4e2a\u5355\u9879\u5f0f\u76f8\u52a0\uff08\u6216\u76f8\u51cf\uff09\u7ec4\u6210\u7684\uff0c\u56e0\u6b64\u4e86\u89e3\u8fd9\u4e24\u4e2a\u6982\u5ff5\u4e4b\u95f4\u7684\u5173\u7cfb\u5f88\u6709\u8da3\u3002\u60a8\u53ef\u4ee5\u901a\u8fc7\u5355\u51fb\u6b64\u94fe\u63a5\u4e86\u89e3<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u4e8c\u9879\u5f0f\/\">\u4e8c\u9879\u5f0f\u7684\u542b\u4e49<\/a><\/span><\/strong>\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Operaciones-con-monomios\"><\/span> \u5355\u9879\u5f0f\u8fd0\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u52a0\u6df1\u5355\u9879\u5f0f\u7684\u6982\u5ff5\uff0c\u6211\u4eec\u5c06\u770b\u770b\u5355\u9879\u5f0f\u53ef\u4ee5\u8fdb\u884c\u54ea\u4e9b\u8fd0\u7b97\u3002\u7279\u522b\u662f\uff0c\u5355\u9879\u5f0f\u53ef\u4ee5\u8fdb\u884c\u52a0\u3001\u51cf\u3001\u4e58\u3001\u9664\u548c\u5e42\u8fd0\u7b97\u3002\u800c\u4e14\u6bcf\u79cd\u64cd\u4f5c\u90fd\u6709\u5176\u7279\u6b8a\u6027\uff0c\u4e0b\u9762\u6211\u4eec\u5c31\u5206\u522b\u4e00\u4e00\u5206\u6790\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-de-monomios\"><\/span>\u5355\u9879\u5f0f\u603b\u548c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u4e24\u4e2a\u6216\u591a\u4e2a\u5355\u9879\u5f0f\u53ea\u6709\u5728\u76f8\u4f3c\u5355\u9879\u5f0f\u65f6\u624d\u80fd\u76f8\u52a0\u3002\u90a3\u4e48\uff0c\u4e24\u4e2a\u76f8\u4f3c\u5355\u9879\u5f0f\u7684\u548c\u7b49\u4e8e\u7531\u76f8\u540c\u6587\u5b57\u90e8\u5206\u7ec4\u6210\u7684\u53e6\u4e00\u4e2a\u5355\u9879\u5f0f\u4ee5\u53ca\u8fd9\u4e24\u4e2a\u5355\u9879\u5f0f\u7684\u7cfb\u6570\u4e4b\u548c\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\/somme-de-monomes-exemples.png\" alt=\"\u9010\u6b65\u6c42\u5355\u9879\u5f0f\u4e4b\u548c\" class=\"wp-image-175\" width=\"189\" height=\"190\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h4 class=\"wp-block-heading\">\u5355\u9879\u5f0f\u548c\u7684\u793a\u4f8b<\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-efd1d13a1dec2b7e39be1a71ead8a441_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^4+3x^4 = 5x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"125\" style=\"vertical-align: -2px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2a9941e13fbe4d7881b99ee7660cfba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4y^2+y^2 = 5y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"113\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1b42e71adb23ec8aa9fd276c5864bc08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^3y+2x^3y = 9x^3y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e9930c00ea28ee7d35113217c6ef47b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2a^3b^2c^6+6a^3b^2c^6 = 8a^3b^2c^6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"215\" style=\"vertical-align: -2px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec2b8fd044bf2c506940b6ca8226f6c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^3+2x^3+5x^3=6x^3+5x^3=11x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"281\" style=\"vertical-align: -2px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u5982\u679c\u4f60\u60f3\u7ec3\u4e60\u505a<u style=\"text-decoration-color:#ff5733;\">\u5355\u9879\u5f0f\u52a0\u6cd5\u7ec3\u4e60\uff0c<\/u>\u4f60\u53ef\u4ee5\u5728\u53f3\u4e0a\u89d2\u7684\u641c\u7d22\u5f15\u64ce\u4e2d\u641c\u7d22\u5b83\u4eec\uff0c\u56e0\u4e3a\u6211\u4eec\u6709\u4e00\u6574\u9875\u90fd\u662f\u5df2\u89e3\u51b3\u7684\u5355\u9879\u5f0f\u52a0\u6cd5\u7ec3\u4e60\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Resta-de-monomios\"><\/span>\u5355\u9879\u5f0f\u51cf\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u4e24\u4e2a\u6216\u591a\u4e2a\u5355\u9879\u5f0f\u53ea\u6709\u5728\u76f8\u4f3c\u5355\u9879\u5f0f\u65f6\u624d\u80fd\u76f8\u51cf\u3002\u56e0\u6b64\uff0c\u4e24\u4e2a\u76f8\u4f3c\u7684\u5355\u9879\u5f0f\u76f8\u51cf\u7b49\u4e8e\u7531\u76f8\u540c\u6587\u5b57\u90e8\u5206\u7ec4\u6210\u7684\u53e6\u4e00\u4e2a\u5355\u9879\u5f0f\u4e0e\u8fd9\u4e24\u4e2a\u5355\u9879\u5f0f\u7684\u7cfb\u6570\u76f8\u51cf\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\/soustraction-de-monomes-1.png\" alt=\"\u8d1f\u5355\u9879\u5f0f\u51cf\u6cd5\" class=\"wp-image-151\" width=\"184\" height=\"185\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h4 class=\"wp-block-heading\">\u5355\u9879\u5f0f\u76f8\u51cf\u7684\u4f8b\u5b50<\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e86e28656f876d6ea1f50cbd4684066_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^2-4x^2 = 3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"125\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9ec8bfbba34f677f360ccb878219239_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5y^3-y^3 = 4y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"113\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c071a5e19fd1de57f4024c5612f96257_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^6y-4x^6y = 4x^6y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-69fde32b846bab61e9167755462b522d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"10a^3b^4c^2-6a^3b^4c^2 = 4a^3b^4c^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"223\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a6fbd6276ab9dbbe276b17d4e785b4f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"11x^3-4x^3-5x^3=7x^3-5x^3=2x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u60a8\u53ef\u4ee5\u901a\u8fc7\u6211\u4eec\u7f51\u7ad9\u4e0a\u627e\u5230\u7684<u style=\"text-decoration-color:#ff5733;\">\u5df2\u89e3\u51b3\u7684\u5355\u9879\u51cf\u6cd5\u7ec3\u4e60<\/u>\u8fdb\u884c\u7ec3\u4e60\u3002\u60a8\u53ef\u4ee5\u901a\u8fc7\u53f3\u4e0a\u89d2\u7684\u641c\u7d22\u5f15\u64ce\u627e\u5230\u5b83\u4eec\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-monomios\"><\/span>\u5355\u9879\u5f0f\u7684\u4e58\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\"><strong>\u4e24\u4e2a\u5355\u9879\u5f0f\u76f8\u4e58<\/strong>\u7684\u7ed3\u679c\u662f\u53e6\u4e00\u4e2a\u5355\u9879\u5f0f\uff0c\u5176\u7cfb\u6570\u662f\u5355\u9879\u5f0f\u7cfb\u6570\u7684\u4e58\u79ef\uff0c\u5176\u6587\u5b57\u90e8\u5206\u662f\u901a\u8fc7\u5c06\u5177\u6709\u76f8\u540c\u57fa\u6570\u7684\u53d8\u91cf\u76f8\u4e58\uff08\u5373\u901a\u8fc7\u5c06\u5b83\u4eec\u7684\u5c55\u793a\u8005\u76f8\u52a0\uff09\u83b7\u5f97\u7684\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\/multiplication-de-monomes-1.png\" alt=\"\u5355\u9879\u5f0f\u4e0e\u6307\u6570\u7684\u4e58\u6cd5\" class=\"wp-image-203\" width=\"194\" height=\"196\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u8981\u6c42\u89e3\u4e24\u4e2a\u4e0d\u540c\u5355\u9879\u5f0f\u4e4b\u95f4\u7684\u4e58\u79ef\uff0c\u5fc5\u987b\u5c06\u7cfb\u6570\u76f8\u4e58\uff0c\u5e76\u4e14\u5fc5\u987b\u5c06\u5177\u6709\u76f8\u540c\u5e95\u6570\u7684\u5e42\u7684\u6307\u6570\u76f8\u52a0\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u6211\u4eec\u5c06\u4e24\u4e2a\u5177\u6709\u4e0d\u540c\u57fa\u5e42\u7684\u5355\u9879\u5f0f\u76f8\u4e58\uff0c\u6211\u4eec\u53ea\u9700\u5c06\u5b83\u4eec\u7684\u7cfb\u6570\u76f8\u4e58\u5e76\u4fdd\u6301\u5e42\u76f8\u540c\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-91a6b9c012d06d618d61f97a1648fc3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2\\cdot 3y^4 = (5\\cdot 3) x^2y^4 = 15x^2y^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h4 class=\"wp-block-heading\">\u5355\u9879\u5f0f\u4e58\u6cd5\u7684\u4f8b\u5b50<\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c373ccffc9ccd101ba2ce02e99abf7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^4 \\cdot 7x^5= (6\\cdot 7)x^{4+5} = 42x^9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"228\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ca04a0873a835eb55f0b7c34208302d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4y \\cdot 2y^3 = (4\\cdot 2)y^{1+3} = 8 y^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d47775082b2bf643cd6277a4e74b5b08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2y^4\\cdot (-8x^8y^2)=(5\\cdot (-8))x^{2+8}y^{4+2} = -40x^{10}y^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"390\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2eac10c8abaa8979578beaf8274bd93b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x^6y^4 \\cdot (-4x^2z)= (-3\\cdot (-4)) x^{6+2}y^4z= 12x^8y^4z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"389\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca7602e907500c26d357e713da3bde13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x^8\\cdot 4x^5\\cdot (-x^2) =-12x^{13}\\cdot (-x^2)= 12x^{15}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"341\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u8981\u7ec3\u4e60<u style=\"text-decoration-color:#ff5733;\">\u5355\u9879\u5f0f\u4e58\u6cd5\u7684\u5206\u6b65\u7ec3\u4e60\uff0c<\/u>\u60a8\u53ef\u4ee5\u67e5\u9605\u6211\u4eec\u5728\u672c\u7f51\u7ad9\u4e0a\u63d0\u4f9b\u7684\u6587\u7ae0\u3002\u60a8\u53ef\u4ee5\u901a\u8fc7\u53f3\u4e0a\u89d2\u7684\u641c\u7d22\u5f15\u64ce\u8f7b\u677e\u627e\u5230\u5b83\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-de-monomios\"><\/span>\u5355\u9879\u5f0f\u9664\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\"><strong>\u5355\u9879\u5f0f\u9664\u6cd5<\/strong>\u7684\u7ed3\u679c\u662f\u53e6\u4e00\u4e2a\u5355\u9879\u5f0f\uff0c\u5176\u7cfb\u6570\u7b49\u4e8e\u5355\u9879\u5f0f\u7cfb\u6570\u7684\u5546\uff0c\u5176\u6587\u5b57\u90e8\u5206\u662f\u901a\u8fc7\u5c06\u5177\u6709\u76f8\u540c\u57fa\u6570\u7684\u53d8\u91cf\u76f8\u9664\uff08\u5373\u51cf\u53bb\u5b83\u4eec\u7684\u5c55\u793a\u8005\uff09\u83b7\u5f97\u7684\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\/division-de-monomes-1.png\" alt=\"\u9664\u5355\u9879\u5f0f\" class=\"wp-image-317\" width=\"201\" height=\"202\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u8981\u9664\u4ee5\u4e24\u4e2a\u4e0d\u540c\u7684\u5355\u9879\u5f0f\uff0c\u6211\u4eec\u53ea\u9700\u5c06\u5b83\u4eec\u4e4b\u95f4\u7684\u7cfb\u6570\u76f8\u9664\uff0c\u7136\u540e\u51cf\u53bb\u5177\u6709\u76f8\u540c\u5e95\u6570\u7684\u5e42\u7684\u6307\u6570\u5373\u53ef\u3002<\/p>\n<h4 class=\"wp-block-heading\">\u5355\u9879\u5f0f\u9664\u6cd5\u7684\u4f8b\u5b50<\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0345d3bf8afc735b7e499584142fef76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^6 : 7x^4= (7:7)x^{6-4} = 1x^2=x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ba837b0d16f0fe2c78d057c053a72c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12y^5 : 4y^2= (12:4)y^{5-2} = 3y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"237\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99ce1c658885782a0de61d4acaae8f29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"15x^7y^6 :3x^4y^5= (15:3)x^{7-4}y^{6-5} = 5x^3y\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"318\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-344fa60ffc830f331035b6307b698695_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"27x^9y^7 :(-3x^5y^2)= (27:(-3))x^{9-5}y^{7-2}= -9x^4y^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"395\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f98903cc9dff2fc60d4baeef41bbce1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-18x^{13} : 3x^4 : (-2x^7) = -6x^9: (-2x^7) = 3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"348\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u5355\u9879\u5f0f\u9664\u6cd5\u6bd4\u770b\u8d77\u6765\u66f4\u56f0\u96be\uff0c\u56e0\u6b64\u6211\u4eec\u5efa\u8bae\u60a8\u5c1d\u8bd5<u style=\"text-decoration-color:#ff5733;\">\u9010\u6b65\u5b8c\u6210\u6211\u4eec\u5173\u4e8e\u5355\u9879\u5f0f\u9664\u6cd5\u7684\u7ec3\u4e60<\/u>\u3002\u627e\u5230\u5b83\u4eec\u7684\u6700\u5feb\u65b9\u6cd5\u662f\u901a\u8fc7\u6211\u4eec\u53f3\u4e0a\u89d2\u7684\u641c\u7d22\u5f15\u64ce\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Potencia-de-un-monomio\"><\/span>\u5355\u9879\u5f0f\u7684\u5e42<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p class=\"has-background\" style=\"background-color:#ffebee\"><strong>\u8981\u8ba1\u7b97\u5355\u9879\u5f0f\u7684\u5e42\uff0c\u5fc5\u987b\u5c06\u5355\u9879\u5f0f\u7684\u6bcf\u4e2a\u5143\u7d20\u6c42\u5e42\u6307\u6570<\/strong>\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5355\u9879\u5f0f\u7684\u5e42\u5305\u62ec\u5c06\u5176\u7cfb\u6570\u53ca\u5176\u53d8\u91cf\uff08\u5b57\u6bcd\uff09\u63d0\u9ad8\u5230\u5e42\u7684\u6307\u6570\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\/puissance-dun-monome-exemple.png\" alt=\"\u5355\u9879\u5f0f\u7684\u5e42\" class=\"wp-image-362\" width=\"179\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u6839\u636e\u5e42\u7684\u6027\u8d28\uff0c\u5f53\u6211\u4eec\u63d0\u51fa\u4e00\u4e2a\u5df2\u7ecf\u63d0\u51fa\u7684\u9879\u65f6\uff0c\u4e24\u4e2a\u6307\u6570\u4f1a\u76f8\u4e58\u3002\u56e0\u6b64<strong>\uff0c\u5728\u5355\u9879\u5f0f\u7684\u5e42\u4e2d\uff0c\u6bcf\u4e2a\u5b57\u6bcd\u7684\u6307\u6570\u603b\u662f\u4e58\u4ee5\u8868\u793a\u5e42\u7684\u6307\u6570<\/strong>\u3002<\/p>\n<h4 class=\"wp-block-heading\">\u5355\u9879\u5f0f\u5e42\u7684\u793a\u4f8b<\/h4>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1e51fcc4fe828722bfa6963d3540e08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(5x^6\\right)^2 = 5^2\\left(x^6\\right)^2 = 5^2x^{6\\cdot 2} = 25x^{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"268\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-488af8cc2d389d0a9012531e595a51e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(2x^5\\right)^4 = 2^4\\left(x^5\\right)^4 = 2^4x^{5\\cdot 4} = 16x^{20}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"268\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-931e60b61878fcf9dda31deb0eac0178_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-4y^3\\right)^2 = (-4)^2\\left(y^3\\right)^2 = (-4)^2y^{3\\cdot 2} = 16y^{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"326\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43073f3940619cc05ddaf143d91031ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(3x^4y\\right)^3 = 3^3\\left(x^4y\\right)^3 = 3^3x^{4\\cdot 3}y^{1\\cdot 3} = 27x^{12}y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"331\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-841e3847493c3454e6e0cde2b389de9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-2a^5b^7\\right)^3 = (-2)^3\\left(a^5b^7\\right)^3 = (-2)^3a^{5\\cdot 3}b^{7\\cdot 3} = -8a^{15}b^{21}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"417\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u5355\u9879\u5f0f\u7684\u8fd9\u79cd\u8fd0\u7b97\u5f88\u5bb9\u6613\u51fa\u9519\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u5efa\u8bae\u60a8\u7ec3\u4e60<u style=\"text-decoration-color:#ff5733;\">\u6211\u4eec\u5728\u7f51\u7ad9\u4e0a\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60<\/u>\u3002\u901a\u8fc7\u5728\u53f3\u4e0a\u89d2\u7684\u641c\u7d22\u5f15\u64ce\u4e2d\u641c\u7d22\uff0c\u60a8\u53ef\u4ee5\u5feb\u901f\u627e\u5230\u5b83\u4eec\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Valor-numerico-de-un-monomio\"><\/span>\u5355\u9879\u5f0f\u7684\u6570\u503c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5355\u9879\u5f0f\u7684\u6570\u503c<\/strong>\u662f\u5c06\u5355\u9879\u5f0f\u7684\u53d8\u91cf\u4ee3\u5165\u67d0\u4e9b\u503c\u5f97\u5230\u7684\u7ed3\u679c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709\u4ee5\u4e0b\u5355\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-1750086b2459b8f402f0019ed8a1388b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5982\u679c\u6211\u4eec\u60f3\u627e\u5230\u524d\u4e00\u4e2a\u5355\u9879\u5f0f\u7684\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-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4f60\u9700\u8981\u66f4\u6362\u8fd9\u5c01\u4fe1<\/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>\u5355\u9879\u5f0f\u9664\u4ee5 2 \u5e76\u6c42\u89e3\u6240\u5f97\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-9658379813c24dea4af2a2cabebe664b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5\\cdot 2^2= 5 \\cdot 4 = 20\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6240\u4ee5\u5355\u9879\u5f0f\u7684\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-1750086b2459b8f402f0019ed8a1388b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" 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-c657687cbbf5ea9a7545edb42190e592_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u7b49\u4e8e20\u3002<\/p>\n<p>\u60a8\u8fd8\u53ef\u4ee5\u786e\u5b9a\u5355\u9879\u591a\u53d8\u91cf\u7684\u6570\u503c\u3002\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709\u4ee5\u4e0b\u53cc\u53d8\u91cf\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u53cc\u53d8\u91cf\u5355\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-b0ede37333d30f6a3b6be46e71c9216c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^4y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"36\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u8ba1\u7b97\u4e0a\u8ff0\u5355\u9879\u5f0f\u7684\u6570\u503c\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-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>\u4ef7\u503c 1 e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f -2\uff0c\u6211\u4eec\u7528\u5b57\u6bcd\u66ff\u6362\u5b83\u4eec\u5404\u81ea\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-c26b3123c46d4add1781440e5b162b2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3\\cdot 1^4\\cdot (-2)= 3 \\cdot 1 \\cdot (-2) = -6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"238\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6240\u4ee5\u95ee\u9898\u7684\u5355\u9879\u5f0f\u7684\u6570\u503c\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-3330a01aa4d7d81947b71297d8623d3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" 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-f986dbfac9d3f29a18cba91e9efa9d2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u8fd4\u56de-6\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Monomios-y-polinomios\"><\/span>\u5355\u9879\u5f0f\u548c\u591a\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u77e5\u9053\u591a\u9879\u5f0f\u53ef\u4ee5\u7531\u5355\u9879\u5f0f\u5f62\u6210\uff1a<\/p>\n<p><strong>\u591a\u9879\u5f0f<\/strong>\u662f\u4e24\u4e2a\u6216\u591a\u4e2a\u5355\u9879\u5f0f\u7684\u5206\u7ec4\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-6684e62627ea7788f55bbec6a1551156_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 4x^5+3x^2-7x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"177\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u524d\u9762\u7684\u591a\u9879\u5f0f\u662f\u7531 3 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