{"id":355,"date":"2023-07-04T22:26:55","date_gmt":"2023-07-04T22:26:55","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e7%b7%9a%e5%bd%a2%e3%81%8a%e3%82%88%e3%81%b3%e4%ba%8c%e6%ac%a1%e8%a3%9c%e9%96%93%e6%a9%9f%e8%83%bd\/"},"modified":"2023-07-04T22:26:55","modified_gmt":"2023-07-04T22:26:55","slug":"%e7%b7%9a%e5%bd%a2%e3%81%8a%e3%82%88%e3%81%b3%e4%ba%8c%e6%ac%a1%e8%a3%9c%e9%96%93%e6%a9%9f%e8%83%bd","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e7%b7%9a%e5%bd%a2%e3%81%8a%e3%82%88%e3%81%b3%e4%ba%8c%e6%ac%a1%e8%a3%9c%e9%96%93%e6%a9%9f%e8%83%bd\/","title":{"rendered":"\u7dda\u5f62\u304a\u3088\u3073\u4e8c\u6b21\u88dc\u9593"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u95a2\u6570\u3092\u88dc\u9593\u3059\u308b\u3053\u3068\u304c\u4f55\u3092\u610f\u5473\u3059\u308b\u306e\u304b\u3092\u5b66\u3073\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u7dda\u5f62\u88dc\u9593\u3068\u4e8c\u6b21\u88dc\u9593\u306b\u3064\u3044\u3066\u8aac\u660e\u3059\u308b\u3002\u3055\u3089\u306b\u3001\u8907\u6570\u306e\u4f8b\u304c\u8868\u793a\u3055\u308c\u308b\u306e\u3067\u3001\u95a2\u6570\u304c\u3069\u306e\u3088\u3046\u306b\u88dc\u9593\u3055\u308c\u308b\u304b\u306b\u3064\u3044\u3066\u7591\u554f\u3092\u62b1\u304f\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\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>\u95a2\u6570\u88dc\u9593\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u88dc\u9593\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/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\">\u6570\u5b66\u306b\u304a\u3051\u308b<strong>\u88dc\u9593\u306f<\/strong>\u3001\u7aef\u70b9\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u533a\u9593\u4e0a\u306e\u70b9\u3067\u95a2\u6570\u304c\u53d6\u308b\u5024\u3092\u8fd1\u4f3c\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u624b\u9806\u3067\u3059\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>\u5185\u633f\u3068\u5916\u633f\u306e\u9055\u3044\u306f\u4f55\u3067\u3059\u304b? <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>\u5185\u633f\u3068\u5916\u633f\u306f\u3001\u3069\u3061\u3089\u3082 2 \u3064\u306e\u65e2\u77e5\u306e\u70b9\u304b\u3089\u3042\u308b\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u5024\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u3092\u542b\u3080\u305f\u3081\u3001\u975e\u5e38\u306b\u3088\u304f\u4f3c\u305f\u610f\u5473\u3092\u6301\u3061\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u3057\u3001\u88dc\u9593\u306f\u3001\u3053\u308c\u3089 2 \u3064\u306e\u65e2\u77e5\u306e\u70b9\u306b\u3088\u3063\u3066\u5f62\u6210\u3055\u308c\u308b\u9593\u9694\u5185\u306b\u4f4d\u7f6e\u3059\u308b\u70b9\u306e\u8fd1\u4f3c\u3092\u884c\u3046\u3053\u3068\u304b\u3089\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u4ee3\u308f\u308a\u306b\u3001\u5916\u633f\u3059\u308b\u3068\u306f\u3001\u3053\u308c\u3089 2 \u3064\u306e\u65e2\u77e5\u306e\u70b9\u304c\u69cb\u6210\u3055\u308c\u308b\u9593\u9694\u306e\u5916\u5074\u306e\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u306e\u5024\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\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\u633f\u3068\u5916\u633f\u3001\u307e\u305f\u306f\u5185\u633f\u3068\u5916\u633f\" class=\"wp-image-114\" width=\"370\" height=\"294\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e0a\u306e\u30b0\u30e9\u30d5\u304b\u3089\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u65e2\u77e5\u306e\u70b9\u306f (2,3) \u3068 (6,5) \u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u65e2\u77e5\u306e\u70b9\u306e\u9593\u306b\u3042\u308b\u305f\u3081 x=4 \u306b\u5185\u633f\u3057\u305f\u3044\u306e\u3067\u3059\u304c\u3001\u4e00\u65b9\u3067\u3001\u65e2\u77e5\u306e\u9593\u9694\u306e\u5916\u5074\u306b\u3042\u308b\u305f\u3081 x=8 \u306b\u5916\u633f\u3057\u305f\u3044\u3068\u8003\u3048\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u5916\u633f\u3067\u306f\u95a2\u6570\u304c\u540c\u69d8\u306e\u30d1\u30b9\u3092\u305f\u3069\u308b\u3068\u4eee\u5b9a\u3059\u308b\u305f\u3081\u3001\u5185\u633f\u5024\u306f\u5916\u633f\u5024\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u4fe1\u983c\u6027\u304c\u9ad8\u3044\u3053\u3068\u306f\u660e\u3089\u304b\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u95a2\u6570\u306e\u50be\u304d\u304c\u65e2\u77e5\u306e\u533a\u9593\u306e\u7bc4\u56f2\u5916\u3067\u5909\u5316\u3057\u3001\u63a8\u5b9a\u304c\u8aa4\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpolacion-lineal\"><\/span>\u7dda\u5f62\u88dc\u9593<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7dda\u5f62\u88dc\u9593\u306f\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u591a\u9805\u5f0f\u88dc\u9593\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u4e00\u6b21\u591a\u9805\u5f0f\u3001\u3064\u307e\u308a\u7dda\u5f62\u95a2\u6570\u307e\u305f\u306f\u30a2\u30d5\u30a3\u30f3\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u3042\u308b\u70b9\u3067\u306e\u95a2\u6570\u306e\u5024\u3092\u63a8\u6e2c\u3057\u307e\u3059\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\">\u65e2\u77e5\u306e 2 \u70b9\u3092\u8003\u3048\u308b\u3068\u3001<\/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>\u305d\u3057\u3066<\/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>\u3001\u7dda\u5f62\u88dc\u9593\u3092\u5b9f\u884c\u3059\u308b\u305f\u3081\u306e\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\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-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<\/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>\u305d\u3057\u3066<\/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>\u306f\u88dc\u9593\u70b9\u306e\u5ea7\u6a19\u3067\u3059\u3002<\/p>\n<\/div>\n<p>\u3053\u306e\u5f0f\u304c\u76f4\u7dda\u306e\u70b9\u3068\u50be\u304d\u306e\u65b9\u7a0b\u5f0f\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-interpolar-linealmente\"><\/span>\u7dda\u5f62\u88dc\u9593\u306e\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>\u6b21\u306b\u3001\u7dda\u5f62\u88dc\u9593\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u4f8b\u3068\u3057\u3066\u554f\u984c\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u5de5\u5834\u3067\u306f4\u6642\u9593\u30672\u500b\u30018\u6642\u9593\u306710\u500b\u304c\u751f\u7523\u3055\u308c\u307e\u3059\u3002\u751f\u7523\u3055\u308c\u308b\u30a2\u30a4\u30c6\u30e0\u306e\u6570\u304c\u52b4\u50cd\u6642\u9593\u3068\u76f4\u7dda\u95a2\u4fc2\u306b\u3042\u308b\u5834\u5408\u30015 \u6642\u9593\u3067\u3044\u304f\u3064\u306e\u30a2\u30a4\u30c6\u30e0\u304c\u751f\u7523\u3055\u308c\u308b\u3067\u3057\u3087\u3046\u304b?<\/li>\n<\/ul>\n<p>\u307e\u305a\u3001\u52b4\u50cd\u6642\u9593\u3068\u751f\u7523\u3055\u308c\u308b\u30a2\u30a4\u30c6\u30e0\u3092\u95a2\u9023\u4ed8\u3051\u308b\u4e00\u6b21\u95a2\u6570\u3092\u5b9a\u7fa9\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001X \u306f\u52b4\u50cd\u6642\u9593\u3001Y \u306f\u88fd\u9020\u3055\u308c\u305f\u54c1\u76ee\u306b\u306a\u308a\u307e\u3059\u3002\u306a\u305c\u306a\u3089\u3001\u52b4\u50cd\u6642\u9593\u306b\u5fdc\u3058\u3066\u751f\u7523\u3055\u308c\u308b\u30a2\u30a4\u30c6\u30e0\u306e\u91cf\u306f\u5897\u6e1b\u3059\u308b\u304b\u3089\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u751f\u7523\u306f\u6642\u9593\u306b\u4f9d\u5b58\u3057\u3066\u304a\u308a\u3001\u305d\u306e\u9006\u3067\u306f\u306a\u3044\u304b\u3089\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u304b\u3089\u3001\u95a2\u6570\u304c\u70b9 (4,2) \u3068 (8,10) \u3092\u901a\u904e\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u70b9\u3067\u88dc\u9593\u3059\u308b\u516c\u5f0f\u3092\u9069\u7528\u3059\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\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-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>\u70b9\u306e\u5024\u3092\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3059\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-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>\u305d\u3057\u3066\u3001\u6b21\u306e\u64cd\u4f5c\u3092\u5b9f\u884c\u3057\u307e\u3059\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-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>\u3057\u305f\u304c\u3063\u3066\u30015 \u6642\u9593\u3067<strong>4 \u3064\u306e\u30a2\u30a4\u30c6\u30e0<\/strong>\u304c\u751f\u6210\u3055\u308c\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpolacion-cuadratica\"><\/span> \u4e8c\u6b21\u88dc\u9593<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e8c\u6b21\u88dc\u9593\u3067\u306f\u30011 \u6b21\u306e\u591a\u9805\u5f0f\u306e\u4ee3\u308f\u308a\u306b 2 \u6b21\u306e\u591a\u9805\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u88dc\u9593\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5834\u5408\u306f<strong>2 \u6b21\u95a2\u6570<\/strong>\u307e\u305f\u306f<strong>\u653e\u7269\u7dda<\/strong>\u95a2\u6570\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\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\u306b\u30012 \u6b21\u88dc\u9593\u306f 1 \u6b21\u88dc\u9593\u3088\u308a\u3082\u6b21\u6570\u304c\u9ad8\u3044\u305f\u3081\u3001\u7cbe\u5ea6\u304c\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002\u9006\u306b\u3001\u88dc\u9593\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3055\u3089\u306b 1 \u3064\u306e\u70b9\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n<p>\u6570\u5b66\u8005\u306e<a href=\"https:\/\/www.ugr.es\/~eaznar\/lagrange.htm\" target=\"_blank\" rel=\"noreferrer noopener\">\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306f<\/a>\u3001n \u6b21\u306e\u88dc\u9593\u95a2\u6570\u3092\u6c42\u3081\u308b\u516c\u5f0f\u3092\u958b\u767a\u3057\u307e\u3057\u305f\u3002 2 \u6b21\u306e\u5834\u5408\u3001<strong>\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u591a\u9805\u5f0f\u306f<\/strong>\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\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-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>\u65e2\u77e5\u306e\u30dd\u30a4\u30f3\u30c8\u306f\u3069\u3053\u3067\u3059\u304b<\/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>\u3001<\/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>\u305d\u3057\u3066<\/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>\u6a2a\u8ef8\u306e\u95a2\u6570\u306e\u5024\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/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>\u305f\u3060\u3057\u3001\u5b9f\u969b\u306b\u306f\u3001\u4e00\u822c\u306b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u6cd5\u306f\u4f7f\u7528\u3055\u308c\u305a\u30013 \u3064\u306e\u89b3\u6e2c\u70b9\u304b\u3089 2 \u6b21\u95a2\u6570\u3092\u8a08\u7b97\u3057\u3001\u305d\u306e\u95a2\u6570\u5185\u3067\u88dc\u9593\u3055\u308c\u308b\u70b9\u3092\u8a55\u4fa1\u3057\u307e\u3059\u3002\u3053\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u884c\u308f\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306e\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-interpolar-cuadraticamente\"><\/span>\u4e8c\u6b21\u88dc\u9593\u306e\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>\u70b9 (0,1)\u3001(1,0)\u3001(3,4) \u3092\u901a\u904e\u3059\u308b\u4e8c\u6b21\u95a2\u6570\u3092\u6c7a\u5b9a\u3057\u3001\u6b21\u306e\u5024\u3092\u88dc\u9593\u3057\u307e\u3059\u3002\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> 2 \u6b21\u95a2\u6570\u306f 2 \u6b21\u591a\u9805\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u88dc\u9593\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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>\u3057\u305f\u304c\u3063\u3066\u3001\u4fc2\u6570\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-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> \u3001<\/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>\u305d\u3057\u3066<\/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\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u65e2\u77e5\u306e\u70b9\u306e\u5ea7\u6a19\u3092\u95a2\u6570\u306b\u4ee3\u5165\u3057\u307e\u3059\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-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>\u3053\u3053\u3067\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\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-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>\u79c1\u305f\u3061\u306f\u3059\u3067\u306b\u305d\u306e\u4fa1\u5024\u3092\u77e5\u3063\u3066\u3044\u307e\u3059<\/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>\u3057\u305f\u304c\u3063\u3066\u3001\u4ee3\u5165\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u7cfb\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u672a\u77e5\u306e\u3082\u306e\u3092\u6d88\u53bb\u3057\u307e\u3059\u3002<\/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> 2 \u756a\u76ee\u306e\u65b9\u7a0b\u5f0f\u3092\u53d6\u5f97\u3057\u3001\u6700\u5f8c\u306e\u65b9\u7a0b\u5f0f\u3067\u898b\u3064\u304b\u3063\u305f\u5f0f\u3092\u4ee3\u5165\u3057\u307e\u3059\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-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>\u79c1\u305f\u3061\u306f\u672a\u77e5\u306e\u3082\u306e\u3092\u898b\u3064\u3051\u307e\u3059<\/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>\u6700\u5f8c\u306e\u5f0f\u304b\u3089: <\/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>\u306e\u5024\u3092\u898b\u3064\u3051\u307e\u3059<\/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>\u30b7\u30b9\u30c6\u30e0\u306e 2 \u756a\u76ee\u306e\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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-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>\u3057\u305f\u304c\u3063\u3066\u3001\u4e8c\u6b21\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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-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\u5f8c\u306b\u3001\u6a2a\u8ef8\u3092\u88dc\u9593\u3057\u307e\u3059\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-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>\u3053\u306e\u6642\u70b9\u3067\u306e\u95a2\u6570\u306e\u5024\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u3057\u307e\u3059\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-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>\u88dc\u9593\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3<span 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