{"id":60,"date":"2023-09-17T07:21:59","date_gmt":"2023-09-17T07:21:59","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e7%9a%84%e6%95%b0%e5%80%bc-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e4%be%8b%e5%ad%90-%e7%bb%83%e4%b9%a0\/"},"modified":"2023-09-17T07:21:59","modified_gmt":"2023-09-17T07:21:59","slug":"%e5%a4%9a%e9%a1%b9%e5%bc%8f%e7%9a%84%e6%95%b0%e5%80%bc-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e4%be%8b%e5%ad%90-%e7%bb%83%e4%b9%a0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e7%9a%84%e6%95%b0%e5%80%bc-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e4%be%8b%e5%ad%90-%e7%bb%83%e4%b9%a0\/","title":{"rendered":"\u591a\u9879\u5f0f\u7684\u6570\u503c"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u5b83\u662f\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u591a\u9879\u5f0f\u7684\u6570\u503c\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u9010\u6b65\u89e3\u51b3\u591a\u9879\u5f0f\u6570\u503c\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-valor-numerico-de-un-polinomio\"><\/span>\u591a\u9879\u5f0f\u7684\u6570\u503c\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5728\u6570\u5b66\u4e2d\uff0c\u5bf9\u4e8e x=a \u7684\u591a\u9879\u5f0f P(x) \u7684\u6570\u503c\uff0c\u5373 P(a)\uff0c\u662f\u901a\u8fc7\u5c06\u591a\u9879\u5f0f\u7684\u53d8\u91cf x \u66ff\u6362\u4e3a\u6570\u5b57 a \u5e76\u6267\u884c\u6240\u793a\u8ba1\u7b97\u800c\u83b7\u5f97\u7684\u7ed3\u679c\u5728\u591a\u9879\u5f0f\u8868\u8fbe\u5f0f\u4e2d\u3002<\/strong><\/p>\n<p>\u4e3a\u4e86\u8ba9\u60a8\u66f4\u597d\u5730\u7406\u89e3\u591a\u9879\u5f0f\u6570\u503c\u7684\u6982\u5ff5\uff0c\u4e0b\u9762\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u8bf4\u660e\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff1a <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-calcular-el-valor-numerico-de-un-polinomo\"><\/span>\u5982\u4f55\u8ba1\u7b97\u591a\u9879\u5f0f\u7684\u6570\u503c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u591a\u9879\u5f0f\u6570\u503c\u7684\u6570\u5b66\u5b9a\u4e49\uff0c\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u786e\u5b9a\u591a\u9879\u5f0f\u7684\u6570\u503c\uff1a<\/p>\n<ul>\n<li>\u5f53 x=2 \u65f6\uff0c\u4e0b\u5217\u591a\u9879\u5f0f\u7684\u6570\u503c\u662f\u591a\u5c11\uff1f<\/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-65a7367fb9064a872fa5606d70d8327f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3+5x^2-4x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u6c42\u51fa\u591a\u9879\u5f0f\u7684\u6570\u503c\uff0c\u9700\u8981\u7528\u95ee\u9898\u7ed9\u5b9a\u7684\u503c\u6765\u8ba1\u7b97\u8be5\u591a\u9879\u5f0f\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u9700\u8981\u4ee3\u5165\u53d8\u91cf<\/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>\u591a\u9879\u5f0f\u9664\u4ee5\u8bed\u53e5\u7684\u503c\u3002\u56e0\u6b64\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\u6211\u4eec\u9700\u8981\u66ff\u6362\u5b57\u6bcd<\/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>\u5bf9\u4e8e 2\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8850b99aa8c1921c96f582d9cf2d372b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2)=2^3+5\\cdot 2^2-4\\cdot 2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"218\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u5c06\u503c\u4ee3\u5165\u591a\u9879\u5f0f\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u4e2d\uff0c\u6211\u4eec\u5c31\u6267\u884c\u8fd0\u7b97\u3002\u6240\u4ee5\u6211\u4eec\u9996\u5148\u6c42\u89e3\u5e42\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-9f1eb984d1fa73d02b5bed9ded3be62e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2)=8+5\\cdot 4-4\\cdot 2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"203\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u8ba1\u7b97\u4e58\u6cd5\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-162adaa6ea3726b7b0dd530232af86b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2)=8+20-8+1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"169\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u6dfb\u52a0\u548c\u51cf\u53bb\u8fd9\u4e9b\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-06e073969fc5e5b3027491d9ef7ac94b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(2)=21}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u603b\u4e4b\uff0cx=2 \u65f6\u591a\u9879\u5f0f\u7684\u6570\u503c\u7b49\u4e8e 21\u3002<\/p>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u6c42\u591a\u9879\u5f0f\u7684\u6570\u503c\u5e76\u4e0d\u662f\u5f88\u590d\u6742\uff0c\u4f46\u5b83\u6709\u4e00\u4e9b\u975e\u5e38\u6709\u7528\u7684\u5e94\u7528\u3002\u4f8b\u5982\uff0c\u77e5\u9053\u5982\u4f55\u627e\u5230\u591a\u9879\u5f0f\u7684\u6570\u503c\u5bf9\u4e8e\u80fd\u591f\u4f7f\u7528\u4f59\u5f0f\u5b9a\u7406\uff08\u5173\u4e8e\u591a\u9879\u5f0f\u7684\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u5b9a\u7406\uff09\u81f3\u5173\u91cd\u8981\u3002\u5355\u51fb\u6b64\u94fe\u63a5\uff0c\u4e86\u89e3<a href=\"https:\/\/mathority.org\/cn\/\u4f59\u6570\u5b9a\u7406\u793a\u4f8b\u548c\u4e60\u9898\u5df2\u89e3\u51b3\/\"><strong><span style=\"text-decoration: underline;\">\u4f59\u6570\u5b9a\u7406\u662f\u4ec0\u4e48<\/span><\/strong><\/a>\uff0c\u60a8\u5c06\u627e\u5230\u5b83\u7684\u89e3\u91ca\u3001\u4f7f\u7528\u793a\u4f8b\u548c\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-valores-numericos-de-polinomios\"><\/span>\u591a\u9879\u5f0f\u6570\u503c\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u8ba9\u60a8\u4e86\u89e3\u5982\u4f55\u83b7\u53d6\u591a\u9879\u5f0f\u7684\u6570\u503c\uff0c\u6211\u4eec\u4e3a\u60a8\u63d0\u4f9b\u4e86\u5176\u4ed6\u5df2\u89e3\u51b3\u7684\u793a\u4f8b\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b1<\/h3>\n<ul>\n<li>\u8ba1\u7b97\u591a\u9879\u5f0f\u7684\u6570\u503c\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f620a315934a4ae3ceb6dfe0d8b65130_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^3-2x^2+3x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/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-6de4e73609a66312d9714a253f9ae3a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-1.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/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-3293713c5e12fac56d94be90f6bfc6e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-1) &amp; =(-1)^3-2\\cdot (-1)^2+3\\cdot (-1)+6 \\\\[2ex] &amp; = -1-2\\cdot 1+3\\cdot (-1)+6 \\\\[2ex] &amp; =-1-2-3+6 \\\\[2ex]&amp;= \\bm{0} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"316\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u591a\u9879\u5f0f\u7684\u6570\u503c\u7b49\u4e8e 0\u3002\u7531\u4e8e\u591a\u9879\u5f0f\u7684\u5c5e\u6027\uff0c\u8fd9\u4f1a\u4ea7\u751f\u5f71\u54cd\uff0c\u56e0\u4e3a\u501f\u52a9 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u56e0\u5b50\u5b9a\u7406\/\">\u56e0\u5b50\u5b9a\u7406\uff0c<\/a><\/span><\/strong>\u6211\u4eec\u53ef\u4ee5\u77e5\u9053\u591a\u9879\u5f0f\u4e4b\u95f4\u67d0\u4e9b\u9664\u6cd5\u7684\u4f59\u6570\u662f\u4ec0\u4e48\u3002\u8981\u4e86\u89e3\u66f4\u591a\u4fe1\u606f\uff0c\u8bf7\u5355\u51fb\u4e0a\u4e00\u4e2a\u94fe\u63a5\uff0c\u6211\u4eec\u5728\u5176\u4e2d\u89e3\u91ca\u4e86\u8fd9\u4e2a\u5b9a\u7406\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b2<\/h3>\n<ul>\n<li>\u786e\u5b9a\u591a\u9879\u5f0f\u7684\u6570\u503c\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-603996e6452fa70f3c1507d146c439e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=-2x^3+7x^2-8x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"221\" style=\"vertical-align: -5px;\"><\/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-bf60bc9fcf312a246a055c15ee98033c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/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-ad8b1145d569157b4e771adfae674e2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(3) &amp; =-2\\cdot 3^3+7\\cdot 3^2-8\\cdot 3-2 \\\\[2ex] &amp; =-2\\cdot 27+7\\cdot 9-8\\cdot 3-2 \\\\[2ex] &amp; =-54+63-24-2 \\\\[2ex]&amp;= \\bm{-17} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"254\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5230\u76ee\u524d\u4e3a\u6b62\uff0c\u6211\u4eec\u53ea\u770b\u5230\u4e86\u5982\u4f55\u4ee5\u7ecf\u5178\u65b9\u5f0f\u786e\u5b9a\u591a\u9879\u5f0f\u7684\u6570\u503c\uff0c\u4f46\u60a8\u5e94\u8be5\u77e5\u9053\u8fd8\u6709\u53e6\u4e00\u79cd\u65b9\u6cd5\u3002\u66f4\u5177\u4f53\u5730\u8bf4\uff0c\u60a8\u8fd8\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/mathority.org\/cn\/\u89c4\u5219\u5df2\u89e3\u51b3\u793a\u4f8b\u9c81\u83f2\u5c3c\u7ec3\u4e60\/\"><strong><span style=\"text-decoration: underline;\">Ruffini \u65b9\u6cd5<\/span><\/strong><\/a>\u8ba1\u7b97\u591a\u9879\u5f0f\u7684\u6570\u503c\u3002\u60a8\u8fd8\u5e94\u8be5\u77e5\u9053\u5982\u4f55\u4f7f\u7528\u6b64\u8fc7\u7a0b\uff0c\u56e0\u6b64\u6211\u4eec\u5efa\u8bae\u60a8\u5728\u94fe\u63a5\u4e2d\u67e5\u770b\u5176\u8be6\u7ec6\u8bf4\u660e\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Valor-numerico-de-un-polinomio-con-dos-o-mas-variables\"><\/span>\u5177\u6709\u4e24\u4e2a\u6216\u591a\u4e2a\u53d8\u91cf\u7684\u591a\u9879\u5f0f\u7684\u6570\u503c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6211\u4eec\u521a\u521a\u4e86\u89e3\u4e86\u5f53\u591a\u9879\u5f0f\u53ea\u6709\u4e00\u4e2a\u53d8\u91cf\u65f6\u5982\u4f55\u6c42\u5176\u6570\u503c\u3002\u4f46\u662f\u2026\u2026\u5f53\u591a\u9879\u5f0f\u6709\u591a\u4e2a\u53d8\u91cf\u65f6\uff0c\u5982\u4f55\u83b7\u5f97\u8be5\u591a\u9879\u5f0f\u7684\u6570\u503c\u5462\uff1f<\/p>\n<p>\u90a3\u4e48\uff0c\u5982\u679c\u4e00\u4e2a\u591a\u9879\u5f0f\u67092\u4e2a\u6216\u66f4\u591a\u7684\u5b57\u6bcd\uff0c\u90a3\u4e48\u5b83\u7684\u6570\u503c\u5fc5\u987b\u4ee5\u540c\u6837\u7684\u65b9\u5f0f\u8ba1\u7b97\uff0c<strong>\u5373\u5148\u5c06\u591a\u9879\u5f0f\u4e2d\u7684\u6bcf\u4e2a\u53d8\u91cf\u66ff\u6362\u4e3a\u5176\u5bf9\u5e94\u7684\u503c\uff0c\u7136\u540e\u6c42\u89e3\u591a\u9879\u5f0f\u8fd0\u7b97<\/strong>\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u60a8\u89e3\u51b3\u4e86\u4ee5\u4e0b\u6b64\u7c7b\u95ee\u9898\uff1a<\/p>\n<ul>\n<li>\u6c42\u591a\u5143\u591a\u9879\u5f0f\u7684\u6570\u503c\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4ae6ce41951c6622a5dd702a3f74de67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x,y)=x^2y+4xy-2x^2+6y-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"274\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5bf9\u4e8e\u4ef7\u503c\u89c2<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-56213aa9361c3f660a6fd780c629a637_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2, y=3.\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"96\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<\/ul>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u5c06\u6bcf\u4e2a\u53d8\u91cf\u66ff\u6362\u4e3a\u5176\u5bf9\u5e94\u7684\u503c\uff0c\u5373\u66ff\u6362\u5b57\u6bcd<\/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>\u5bf9\u4e8e 2\uff0c\u6211\u4eec\u6539\u53d8\u5b57\u6bcd<\/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>\u901a\u8fc7 3:<\/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-a0a147fbd9eac856732e746ba31bf7ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,3)=2^2\\cdot 3+4\\cdot 2\\cdot 3-2\\cdot 2^2+6\\cdot 3-5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"331\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u6c42\u89e3\u6743\u529b\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-4e196dd787140ebfd9cf51cd22665242_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,3)=4\\cdot 3+4\\cdot 2\\cdot 3-2\\cdot 4+6\\cdot 3-5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u8ba1\u7b97\u4e58\u79ef\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-d086e387e69df272c991d246a5419289_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,3)=12+24-8+18-5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"234\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u8fdb\u884c\u52a0\u6cd5\u548c\u51cf\u6cd5\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-a56aaa1a35d10261d6a7c885d4c5c38c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(2,3)=41}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\u6307\u4ee4\u6570\u636e\u7684\u591a\u9879\u5f0f\u7684\u6570\u503c\u76f8\u5f53\u4e8e41\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-del-valor-numerico-de-un-polinomio\"><\/span>\u5df2\u89e3\u51b3\u591a\u9879\u5f0f\u6570\u503c\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p> x=-2 \u65f6\u591a\u9879\u5f0f P(x) \u7684\u6570\u503c\u662f\u591a\u5c11\uff1f <\/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-2058e4637803a44f702503177a9a5999_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=-2x^3-4x^2+3x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__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\">\u8981\u6c42\u591a\u9879\u5f0f\u7684\u6570\u503c\uff0c\u6211\u4eec\u53ea\u9700\u5c06\u8bed\u53e5\u4e2d\u7ed9\u51fa\u7684\u503c\u4ee3\u5165\u591a\u9879\u5f0f\u8868\u8fbe\u5f0f\u5e76\u6c42\u89e3\u7ed3\u679c\u8fd0\u7b97\u5373\u53ef\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-93b7cf1a6c7e930a0a70fc8302f4012d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-2) &amp; =-2\\cdot (-2)^3-4\\cdot (-2)^2+3\\cdot (-2)+8 \\\\[2ex] &amp; =-2\\cdot (-8)-4\\cdot 4+3\\cdot (-2)+8 \\\\[2ex] &amp; =+16-16-6+8 \\\\[2ex]&amp;= \\bm{2} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"351\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u5e26\u5206\u6570\u591a\u9879\u5f0f\uff08x=4\uff09\u7684\u6570\u503c\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-51b55d638c13c2ae521dd1b268e566b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=\\cfrac{1}{2} x^2-\\cfrac{5}{4}x + 7\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"163\" style=\"vertical-align: -12px;\"><\/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\">\u65e0\u8bba\u591a\u9879\u5f0f\u662f\u5426\u6709\u5206\u6570\uff0c\u6c42\u591a\u9879\u5f0f\u6570\u503c\u7684\u8fc7\u7a0b\u59cb\u7ec8\u76f8\u540c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u53d8\u91cf x \u66ff\u6362\u4e3a 4 \u5e76\u6c42\u89e3\u8ba1\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-04fa4389b5e7c5257937ad35aed07c7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(4) &amp; =\\cfrac{1}{2} \\cdot 4^2-\\cfrac{5}{4}\\cdot 4+ 7 \\\\[2ex] &amp; =\\cfrac{1}{2} \\cdot 16-\\cfrac{5}{4}\\cdot 4+ 7\\\\[2ex] &amp; =8-5+7 \\\\[2ex]&amp;= \\bm{10} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"181\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u786e\u5b9a\u503c x=3\u3001y=5 \u548c z=-2 \u7684\u591a\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-93ec397c7da59b30a0550f40bb0b1c06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x,y,z)=x^2yz+4y^2z^2-3x^2z+6xyz\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"312\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__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\">\u8981\u786e\u5b9a\u591a\u5143\u591a\u9879\u5f0f\u7684\u6570\u503c\uff0c\u53ea\u9700\u5c06\u95ee\u9898\u4e2d\u7ed9\u51fa\u7684\u503c\u4ee3\u5165\u4ee3\u6570\u8868\u8fbe\u5f0f\u5e76\u6c42\u89e3\u6240\u5f97\u8fd0\u7b97\u5373\u53ef\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-29683a91c14427a8ea42c3518e59e53f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(3,5,-2) &amp; =3^2\\cdot 5\\cdot (-2)+4\\cdot 5^2\\cdot (-2)^2-3\\cdot 3^2\\cdot (-2)+6\\cdot 3\\cdot 5 \\cdot (-2) \\\\[2ex] &amp; =9\\cdot 5\\cdot (-2)+4\\cdot 25\\cdot 4-3\\cdot 9\\cdot (-2)+6\\cdot 3\\cdot 5 \\cdot (-2) \\\\[2ex] &amp; =-90+400+54-180\\\\[2ex]&amp;= \\bm{184} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"142\" width=\"543\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u7ed9\u5b9a\u591a\u9879\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-288097fb1db706c4470871749ac23d88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= -2x^3-3x^2+5x+k\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u8ba1\u7b97\u53c2\u6570\u503c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4ee5\u4fbf<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3029b4a44964ce05fcd5497240a906ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=5.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"87\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__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\">\u5728\u8fd9\u4e2a\u95ee\u9898\u4e2d\uff0c\u6c42\u672a\u77e5\u6570\u7684\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-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6211\u4eec\u9700\u8981\u89e3\u65b9\u7a0b<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3029b4a44964ce05fcd5497240a906ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=5.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"87\" 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-1c57342c839d903ba49d3065a69b092c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u9996\u5148\u5c1d\u8bd5\u8ba1\u7b97P(-2)\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-3b58398099c8033b93a559e2f0c87f1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} P(-2) &amp; =-2\\cdot (-2)^3-3\\cdot (-2)^2+5\\cdot (-2)+k \\\\[2ex] &amp; =-2\\cdot (-8)-3\\cdot 4+5\\cdot (-2)+k \\\\[2ex] &amp; =+16-12-10+k\\\\[2ex]&amp;=-6+k \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"144\" width=\"351\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5c06\u5f97\u5230\u7684\u8868\u8fbe\u5f0f\u5747\u8861\u4e3a 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-1c57342c839d903ba49d3065a69b092c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" 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-e8b31008f76f38998d02a91cb976653e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-6+k=5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"85\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\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-9b76441987dd8c22187ed4d37c72baea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=5+6\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"73\" 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-30a3a62912d260d4dff9a56341e1e046_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{k=11}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"50\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u5b83\u662f\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u591a\u9879\u5f0f\u7684\u6570\u503c\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u9010\u6b65\u89e3\u51b3\u591a\u9879\u5f0f\u6570\u503c\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002 \u591a\u9879 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e7%9a%84%e6%95%b0%e5%80%bc-%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e4%be%8b%e5%ad%90-%e7%bb%83%e4%b9%a0\/\"> <span class=\"screen-reader-text\">\u591a\u9879\u5f0f\u7684\u6570\u503c<\/span> \u67e5\u770b\u5168\u6587 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