{"id":346,"date":"2023-07-04T22:26:55","date_gmt":"2023-07-04T22:26:55","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%ba%8c%e6%ac%a1%e6%8f%92%e5%80%bc%e5%87%bd%e6%95%b0\/"},"modified":"2023-07-04T22:26:55","modified_gmt":"2023-07-04T22:26:55","slug":"%e7%ba%bf%e6%80%a7%e5%92%8c%e4%ba%8c%e6%ac%a1%e6%8f%92%e5%80%bc%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%ba%8c%e6%ac%a1%e6%8f%92%e5%80%bc%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u7ebf\u6027\u548c\u4e8c\u6b21\u63d2\u503c"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u63d2\u503c\u51fd\u6570\u7684\u542b\u4e49\u3002\u5177\u4f53\u5730\uff0c\u89e3\u91ca\u7ebf\u6027\u63d2\u503c\u548c\u4e8c\u6b21\u63d2\u503c\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u591a\u4e2a\u793a\u4f8b\uff0c\u56e0\u6b64\u60a8\u5bf9\u51fd\u6570\u7684\u63d2\u503c\u65b9\u5f0f\u6beb\u65e0\u7591\u95ee\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-interpolacion-de-una-funcion\"><\/span>\u4ec0\u4e48\u662f\u51fd\u6570\u63d2\u503c\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u63d2\u503c\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a <\/p>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\">\u5728\u6570\u5b66\u4e2d\uff0c<strong>\u63d2\u503c<\/strong>\u662f\u4e00\u79cd\u7528\u4e8e\u8fd1\u4f3c\u51fd\u6570\u5728\u7aef\u70b9\u5df2\u77e5\u7684\u533a\u95f4\u4e0a\u7684\u70b9\u5904\u6240\u53d6\u503c\u7684\u8fc7\u7a0b\u3002 <\/p>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-diferencia-entre-la-interpolacion-y-la-extrapolacion\"><\/span>\u63d2\u503c\u6cd5\u548c\u5916\u63a8\u6cd5\u6709\u4ec0\u4e48\u533a\u522b\uff1f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><strong> <\/strong><\/div>\n<\/div>\n<p>\u63d2\u503c\u548c\u5916\u63a8\u5177\u6709\u975e\u5e38\u76f8\u4f3c\u7684\u542b\u4e49\uff0c\u56e0\u4e3a\u4e24\u8005\u90fd\u6d89\u53ca\u4ece\u4e24\u4e2a\u5df2\u77e5\u70b9\u4f30\u8ba1\u51fd\u6570\u5728\u67d0\u4e00\u70b9\u7684\u503c\u3002<\/p>\n<p>\u7136\u800c\uff0c\u63d2\u503c\u5305\u62ec\u5bf9\u4f4d\u4e8e\u8fd9\u4e24\u4e2a\u5df2\u77e5\u70b9\u5f62\u6210\u7684\u95f4\u9694\u4e2d\u7684\u70b9\u8fdb\u884c\u8fd1\u4f3c\u3002\u76f8\u53cd\uff0c\u5916\u63a8\u610f\u5473\u7740\u4f30\u8ba1\u51fd\u6570\u5728\u8fd9\u4e24\u4e2a\u5df2\u77e5\u70b9\u6240\u5728\u533a\u95f4\u4e4b\u5916\u7684\u70b9\u5904\u7684\u503c\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\/interpolation-et-extrapolation-ou-interpoler-extrapoler.webp\" alt=\"\u5185\u63d2\u548c\u5916\u63a8\u6216\u5185\u63d2\u548c\u5916\u63a8\" class=\"wp-image-114\" width=\"370\" height=\"294\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6b63\u5982\u60a8\u5728\u4e0a\u56fe\u4e2d\u770b\u5230\u7684\uff0c\u5df2\u77e5\u70b9\u662f (2,3) \u548c (6,5)\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u60f3\u8981\u5185\u63d2\u5230 x=4\uff0c\u56e0\u4e3a\u5b83\u4f4d\u4e8e\u5df2\u77e5\u70b9\u4e4b\u95f4\uff0c\u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u60f3\u8981\u5916\u63a8\u5230 x=8\uff0c\u56e0\u4e3a\u5b83\u5728\u5df2\u77e5\u533a\u95f4\u4e4b\u5916\u3002<\/p>\n<p>\u663e\u7136\uff0c\u5185\u63d2\u503c\u6bd4\u5916\u63a8\u503c\u53ef\u9760\u5f97\u591a\uff0c\u56e0\u4e3a\u5728\u5916\u63a8\u4e2d\uff0c\u6211\u4eec\u5047\u8bbe\u51fd\u6570\u5c06\u9075\u5faa\u7c7b\u4f3c\u7684\u8def\u5f84\u3002\u7136\u800c\uff0c\u51fd\u6570\u7684\u659c\u7387\u53d8\u5316\u53ef\u80fd\u8d85\u51fa\u5df2\u77e5\u533a\u95f4\u7684\u8303\u56f4\uff0c\u5e76\u4e14\u4f30\u8ba1\u662f\u9519\u8bef\u7684\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpolacion-lineal\"><\/span>\u7ebf\u6027\u63d2\u503c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7ebf\u6027\u63d2\u503c\u662f\u725b\u987f\u591a\u9879\u5f0f\u63d2\u503c\u7684\u7279\u4f8b\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4f7f\u7528\u4e00\u6b21\u591a\u9879\u5f0f\uff0c\u5373\u7ebf\u6027\u6216\u4eff\u5c04\u51fd\u6570\uff0c\u6765\u731c\u6d4b\u51fd\u6570\u5728\u67d0\u4e00\u70b9\u7684\u503c\u3002 <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\">\u7ed9\u5b9a\u4e24\u4e2a\u5df2\u77e5\u70b9\uff0c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99906702500e51b12e2859cc804a7b57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(x_1,y_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/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-4b79aabad6138add43cc540b4205d672_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_2(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p>\uff0c\u6267\u884c\u7ebf\u6027\u63d2\u503c\u7684\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f47466bf8293e2bb88ede2994c7b2ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{y_2-y_1}{x_2-x_1}\\cdot(x-x_1) + y_1\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"205\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\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-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>\u548c<\/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\u63d2\u503c\u70b9\u7684\u5750\u6807\u3002<\/p>\n<\/div>\n<p>\u6211\u4eec\u53ef\u4ee5\u9a8c\u8bc1\u8fd9\u4e2a\u516c\u5f0f\u5bf9\u5e94\u7684\u662f\u76f4\u7ebf\u7684\u70b9\u659c\u7387\u65b9\u7a0b\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-interpolar-linealmente\"><\/span>\u7ebf\u6027\u63d2\u503c\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><meta charset=\"utf-8\"><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<p>\u63a5\u4e0b\u6765\u6211\u4eec\u4ee5\u4e00\u4e2a\u95ee\u9898\u4e3a\u4f8b\u6765\u5b8c\u6210\u5bf9\u7ebf\u6027\u63d2\u503c\u6982\u5ff5\u7684\u7406\u89e3\uff1a<\/p>\n<ul>\n<li>\u5728\u4e00\u5bb6\u5de5\u5382\uff0c4 \u5c0f\u65f6\u751f\u4ea7 2 \u4ef6\u4ea7\u54c1\uff0c8 \u5c0f\u65f6\u751f\u4ea7 10 \u4ef6\u4ea7\u54c1\u3002\u5982\u679c\u751f\u4ea7\u7684\u4ea7\u54c1\u6570\u91cf\u4e0e\u5de5\u4f5c\u65f6\u95f4\u5448\u7ebf\u6027\u5173\u7cfb\uff0c\u90a3\u4e48 5 \u5c0f\u65f6\u5185\u5c06\u751f\u4ea7\u591a\u5c11\u4ea7\u54c1\uff1f<\/li>\n<\/ul>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u5b9a\u4e49\u5c06\u5de5\u4f5c\u65f6\u95f4\u4e0e\u751f\u4ea7\u7684\u4ea7\u54c1\u8054\u7cfb\u8d77\u6765\u7684\u7ebf\u6027\u51fd\u6570\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0cX \u662f\u5de5\u4f5c\u65f6\u95f4\uff0cY \u662f\u5236\u9020\u7684\u7269\u54c1\u3002\u56e0\u4e3a\u6839\u636e\u5de5\u4f5c\u65f6\u95f4\uff0c\u751f\u4ea7\u7684\u4ea7\u54c1\u6570\u91cf\u4f1a\u589e\u52a0\u6216\u51cf\u5c11\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u751f\u4ea7\u53d6\u51b3\u4e8e\u5de5\u4f5c\u65f6\u95f4\uff0c\u800c\u4e0d\u662f\u76f8\u53cd\u3002<\/p>\n<p>\u4ece\u8bed\u53e5\u4e2d\u6211\u4eec\u77e5\u9053\u51fd\u6570\u7ecf\u8fc7\u70b9(4,2)\u548c(8,10)\u3002\u56e0\u6b64\uff0c\u5e94\u7528\u516c\u5f0f\u5728\u8be5\u70b9\u8fdb\u884c\u63d2\u503c\u5c31\u8db3\u591f\u4e86<\/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-c60268650a59ab9a9a60303fd1414aa3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=5:\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f47466bf8293e2bb88ede2994c7b2ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{y_2-y_1}{x_2-x_1}\\cdot(x-x_1) + y_1\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"205\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5c06\u70b9\u7684\u503c\u4ee3\u5165\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-def761f7a698a9bc301b289bada81411_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{10-2}{8-4}\\cdot(5-4) + 2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"179\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u8fdb\u884c\u4ee5\u4e0b\u64cd\u4f5c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5106bdb787f68d2f725eeb48e11eee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{8}{4}\\cdot1 + 2 = 2\\cdot 1 +2 = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"213\" style=\"vertical-align: -12px;\"><\/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-282fa83a6377c6833872c037158e74f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y=4}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u6240\u4ee5 5 \u5c0f\u65f6\u5c06\u751f\u4ea7<strong>4 \u4ef6\u7269\u54c1<\/strong>\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpolacion-cuadratica\"><\/span> \u4e8c\u6b21\u63d2\u503c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8c\u6b21\u63d2\u503c\u6d89\u53ca\u4f7f\u7528\u4e8c\u6b21\u591a\u9879\u5f0f\u800c\u4e0d\u662f\u4e00\u6b21\u591a\u9879\u5f0f\u8fdb\u884c\u63d2\u503c\u3002\u56e0\u6b64\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4f7f\u7528<strong>\u4e8c\u6b21<\/strong>\u6216<strong>\u629b\u7269\u7ebf<\/strong>\u51fd\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-f269c04d9aa0012a945df0050a50c90e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y = ax^2+bx+c\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"129\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c\u4e8c\u9636\u63d2\u503c\u6bd4\u4e00\u9636\u63d2\u503c\u66f4\u51c6\u786e\uff0c\u56e0\u4e3a\u4e8c\u9636\u63d2\u503c\u7684\u6b21\u6570\u66f4\u9ad8\u3002\u76f8\u53cd\uff0c\u8fd8\u9700\u8981\u4e00\u4e2a\u70b9\u624d\u80fd\u6267\u884c\u63d2\u503c\u3002<\/p>\n<p>\u6570\u5b66\u5bb6<a href=\"https:\/\/www.ugr.es\/~eaznar\/lagrange.htm\" target=\"_blank\" rel=\"noreferrer noopener\">\u62c9\u683c\u6717\u65e5<\/a>\u63d0\u51fa\u4e86\u4e00\u4e2a\u6c42 n \u9636\u63d2\u503c\u51fd\u6570\u7684\u516c\u5f0f\u3002\u5bf9\u4e8e\u4e8c\u9636\u60c5\u51b5\uff0c<strong>\u62c9\u683c\u6717\u65e5\u63d2\u503c\u591a\u9879\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-7964f224af5150a7765843814e8e2cc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{(x-x_1)(x-x_2)}{(x_0-x_1)(x-x_2)}\\cdot y_0+ \\cfrac{(x-x_0)(x-x_2)}{(x_1-x_0)(x_0-x_2)}\\cdot y_1+ \\cfrac{(x-x_0)(x-x_1)}{(x_2-x_0)(x_2-x_1)}\\cdot y_2\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"588\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u5df2\u77e5\u70b9\u5728\u54ea\u91cc<\/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-99906702500e51b12e2859cc804a7b57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_1(x_1,y_1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p>,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b79aabad6138add43cc540b4205d672_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_2(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/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-dac17428ab0a8569f50aacbb6e002ca8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_3(x_3,y_3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5b83\u4eec\u7528\u4e8e\u6c42\u51fd\u6570\u5728\u6a2a\u5750\u6807\u4e0a\u7684\u503c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9cc293b28f198c32e0356b52e2e23bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4f46\u5b9e\u9645\u4e2d\u4e00\u822c\u4e0d\u91c7\u7528\u62c9\u683c\u6717\u65e5\u63d2\u503c\u6cd5\uff0c\u800c\u662f\u6839\u636e3\u4e2a\u89c2\u6d4b\u70b9\u8ba1\u7b97\u4e8c\u6b21\u51fd\u6570\uff0c\u7136\u540e\u5bf9\u51fd\u6570\u4e2d\u8981\u63d2\u503c\u7684\u70b9\u8fdb\u884c\u6c42\u503c\u3002\u8fd9\u662f\u4e00\u4e2a\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u770b\u770b\u5b83\u662f\u5982\u4f55\u5b8c\u6210\u7684\uff1a <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-interpolar-cuadraticamente\"><\/span>\u4e8c\u6b21\u63d2\u503c\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><meta charset=\"utf-8\"><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-107\"><\/div>\n<\/div>\n<ul>\n<li>\u786e\u5b9a\u901a\u8fc7\u70b9 (0,1)\u3001(1,0) \u548c (3,4) \u7684\u4e8c\u6b21\u51fd\u6570\uff0c\u7136\u540e\u63d2\u503c\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>\u7531\u4e8e\u4e8c\u6b21\u51fd\u6570\u662f\u4e8c\u9636\u591a\u9879\u5f0f\uff0c\u56e0\u6b64\u63d2\u503c\u51fd\u6570\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-f269c04d9aa0012a945df0050a50c90e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y = ax^2+bx+c\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"129\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\u9700\u8981\u8ba1\u7b97\u7cfb\u6570<\/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>,<\/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>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u5df2\u77e5\u70b9\u7684\u5750\u6807\u4ee3\u5165\u51fd\u6570\u4e2d\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-688e308fcaa3e4187058fb9145b6406a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{l} 1 = a\\cdot 0^2+b\\cdot 0+c \\\\[2ex] 0 = a\\cdot 1^2+b\\cdot 1+c \\\\[2ex] 4 = a\\cdot 3^2+b\\cdot 3+c \\end{array} \\right\\} \\longrightarrow \\left.\\begin{array}{l} 1 = c \\\\[2ex] 0 = a+b+c \\\\[2ex] 4 = 9a+3b+c \\end{array} \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"363\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u6c42\u89e3\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-671f07a2311e3f14886d400a1418e3b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{l} 1 = c \\\\[2ex] 0 = a+b+c \\\\[2ex] 4 = 9a+3b+c \\end{array} \\right\\} \\begin{array}{l} \\\\[2ex] \\xrightarrow{c \\ = \\ 1} \\\\[2ex] &amp; \\end{array} \\left.\\begin{array}{l} c=1 \\\\[2ex] 0 = a+b+1 \\\\[2ex] 4 = 9a+3b+1 \\end{array}\\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"361\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5df2\u7ecf\u77e5\u9053\u7684\u4ef7\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-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u7528\u66ff\u6362\u6cd5\u6765\u6c42\u89e3\u7cfb\u7edf\uff1a\u6211\u4eec\u64e6\u9664\u672a\u77e5\u6570<\/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>\u5c06\u7b2c\u4e8c\u4e2a\u65b9\u7a0b\u4ee3\u5165\u6700\u540e\u4e00\u4e2a\u65b9\u7a0b\u4e2d\u627e\u5230\u7684\u8868\u8fbe\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-0be4db125be3270895ed6c2788990724_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{l} a=-b-1 \\\\[2ex]  4 = 9a+3b+1 \\end{array}\\right\\}\\longrightarrow \\left.\\begin{array}{l} a=-b-1 \\\\[2ex] 4 = 9(-b-1)+3b+1 \\end{array}\\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"389\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u53d1\u73b0\u672a\u77e5<\/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-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>\u6839\u636e\u6700\u540e\u4e00\u4e2a\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-00a4283dc06626da922a6a85a95139ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4 = -9b-9+3b+1\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"161\" 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-258e9e8665683efd2a410bcf9954055c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12 =-6b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"71\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7efb512d185829bbfa278f182d5a8cfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b=\\cfrac{12}{-6} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5e76\u627e\u5230\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-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>\u4e0e\u7cfb\u7edf\u7684\u7b2c\u4e8c\u4e2a\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-0f22f34c05dfd7e8801920f909d975e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=-(-2)-1 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"145\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e8c\u6b21\u51fd\u6570\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-e8967d1bbbab2f2d3b4be41d78bbefe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{y = x^2-2x+1}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5bf9\u6a2a\u5750\u6807\u8fdb\u884c\u63d2\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-ad143a0d979362a51b48a48c9ca9f59e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8ba1\u7b97\u6b64\u65f6\u51fd\u6570\u7684\u503c\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-03ef4ea569c4913d354adeb167adf063_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=(-1)^2-2\\cdot(-1)+1=1+2+1=\\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"314\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p><meta charset=\"utf-8\"><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-108\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"aplicaciones-de-la-interpolacion\"><\/span>\u63d2\u503c\u5e94\u7528<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c3d\u7ba1\u770b\u8d77\u6765\u53ef\u80fd\u5e76\u975e\u5982\u6b64\uff0c\u4f46\u63d2\u503c\u5728\u6570\u5b66\u548c\u7edf\u8ba1\u5b66\u4e2d\u975e\u5e38\u6709\u7528\u3002\u4f8b\u5982\uff0c\u5b83\u7528\u4e8e\u5c1d\u8bd5\u9884\u6d4b\u51fd\u6570\u7684\u503c\uff1a\u6839\u636e\u4e00\u7cfb\u5217\u6536\u96c6\u7684\u6570\u636e\uff0c\u8ba1\u7b97\u56de\u5f52\u7ebf\uff0c\u901a\u8fc7\u5b83\uff0c\u60a8\u53ef\u4ee5\u8fd1\u4f3c\u4f30\u8ba1\u51fd\u6570\u5728\u6bcf\u4e2a\u70b9\u7684\u4ef7\u503c\u3002<\/p>\n<p>\u6b63\u5982\u6211\u4eec\u6240\u89c1\uff0c\u51fd\u6570\u63d2\u503c\u53ef\u4ee5\u624b\u52a8\u5b8c\u6210\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528 Excel \u6216 MATLAB \u7b49\u8ba1\u7b97\u673a\u7a0b\u5e8f\u5b8c\u6210\u3002\u663e\u7136\uff0c\u4f7f\u7528\u8ba1\u7b97\u673a\u6765\u5b8c\u6210\u6b64\u64cd\u4f5c\u66f4\u52a0\u8212\u9002\u548c\u5feb\u6377\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u63d2\u503c\u4e5f\u7528\u4e8e\u7b80\u5316\u8ba1\u7b97\u3002\u6709\u4e9b\u8f6f\u4ef6\u7a0b\u5e8f\u9700\u8981\u7528\u5f88\u957f\u7684\u51fd\u6570\u8fdb\u884c\u590d\u6742\u7684\u8ba1\u7b97\uff0c\u56e0\u6b64\u6709\u65f6\u4f1a\u5bf9\u8fd9\u4e9b\u51fd\u6570\u8fdb\u884c\u7ebf\u6027\u63d2\u503c\u4ee5\u7b80\u5316\u8fd0\u7b97\u3002 <\/p>\n<p><meta charset=\"utf-8\"><\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u63d2\u503c\u51fd\u6570\u7684\u542b\u4e49\u3002\u5177\u4f53\u5730\uff0c\u89e3\u91ca\u7ebf\u6027\u63d2\u503c\u548c\u4e8c\u6b21\u63d2\u503c\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u591a\u4e2a\u793a\u4f8b\uff0c\u56e0\u6b64\u60a8\u5bf9\u51fd\u6570\u7684 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%80%a7%e5%92%8c%e4%ba%8c%e6%ac%a1%e6%8f%92%e5%80%bc%e5%87%bd%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u7ebf\u6027\u548c\u4e8c\u6b21\u63d2\u503c<\/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":[17],"tags":[],"class_list":["post-346","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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