{"id":89,"date":"2023-07-17T10:05:16","date_gmt":"2023-07-17T10:05:16","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a6%82%e4%bd%95%e8%a1%a8%e7%a4%ba%e5%87%bd%e6%95%b0\/"},"modified":"2023-07-17T10:05:16","modified_gmt":"2023-07-17T10:05:16","slug":"%e5%a6%82%e4%bd%95%e8%a1%a8%e7%a4%ba%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a6%82%e4%bd%95%e8%a1%a8%e7%a4%ba%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u5982\u4f55\u8868\u793a\u51fd\u6570\uff1f"},"content":{"rendered":"<p>\u8868\u793a\u51fd\u6570\u4ee5\u4fbf\u80fd\u591f\u4ee5\u56fe\u5f62\u65b9\u5f0f\u5206\u6790\u6784\u6210\u8be5\u51fd\u6570\u7684\u4e0d\u540c\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\u5f88\u5e38\u89c1\u7684\u3002\u6216\u8005\u6709\u65f6\u8fd9\u4e9b\u7c7b\u578b\u7684\u8868\u793a\u751a\u81f3\u7528\u4e8e\u8d2d\u4e70\u591a\u79cd\u529f\u80fd\u3002\u8fd9\u5728\u8fdb\u884c\u7edf\u8ba1\u7814\u7a76\u65f6\u7279\u522b\u6709\u7528\u3002\u8bdd\u867d\u8fd9\u4e48\u8bf4\uff0c\u4eca\u5929\u6211\u4eec\u5c06\u5411\u60a8\u89e3\u91ca\u4e00\u79cd\u975e\u5e38\u7b80\u5355\u7684\u65b9\u6cd5\uff0c\u53ea\u9700 3 \u4e2a\u6b65\u9aa4\u5373\u53ef\u7ed8\u5236\u4efb\u4f55\u51fd\u6570\u7684\u56fe\u5f62\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5c06\u8ba8\u8bba\u5982\u4f55\u5206\u6790\u56fe\u5f62\u7ed3\u679c\u4ee5\u5f97\u51fa\u7ed3\u8bba\u3002<\/p>\n<h2 id=\"tipos-de-funciones\" class=\"wp-block-heading\"><span id=\"Tipos_de_funciones\">\u529f\u80fd\u7c7b\u578b<\/span><\/h2>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u4e86\u89e3\u4e0d\u540c\u7c7b\u578b\u51fd\u6570\u7684\u7279\u70b9\u4ee5\u53ca\u8868\u793a\u5b83\u4eec\u65f6\u5e94\u8003\u8651\u54ea\u4e9b\u5dee\u5f02\u3002\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u66f4\u5bb9\u6613\u5730\u8fdb\u884c\u56fe\u5f62\u8868\u793a\uff0c\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u73b0\u5728\u5bf9\u6bcf\u79cd\u7c7b\u578b\u8fdb\u884c\u7b80\u8981\u8bc4\u8bba\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u51fd\u6570\u7684\u7c7b\u578b\u6709\u5f88\u591a\u79cd\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u91cd\u70b9\u5173\u6ce8\u6700\u91cd\u8981\u7684\u4e24\u79cd\u7c7b\u578b\uff1a<a href=\"https:\/\/mathority.org\/cn\/\u591a\u9879\u5f0f\u51fd\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u591a\u9879\u5f0f\u51fd\u6570<\/a>\u548c\u5206\u6bb5\u51fd\u6570\u3002<\/p>\n<h3 id=\"funciones-lineales\" class=\"wp-block-heading\">\u7ebf\u6027\u51fd\u6570<\/h3>\n<p>\u4e00\u6b21\u51fd\u6570\u6216\u4e00\u6b21\u591a\u9879\u5f0f\u51fd\u6570\u662f\u5176\u8868\u8fbe\u5f0f\u4e3a 1 \u6b21\u591a\u9879\u5f0f\u7684\u51fd\u6570\u3002\u5219\u5176\u8868\u8fbe\u5f0f\u9075\u5faa\u6a21\u578b<strong>f(x) = mx + n<\/strong> \uff0c\u5176\u4e2d m \u4e3a\u659c\u7387\uff0cn \u4e3a\u7eb5\u5750\u6807\u3002\u57fa\u672c\u4e0a\uff0c\u8fd9\u4e9b\u51fd\u6570\u5177\u6709\u76f8\u5f53\u4e8e\u4e00\u6761\u7ebf\u7684\u56fe\u5f62\u5f62\u5f0f\u3002\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u770b\u5230\u4e00\u4e2a\u793a\u4f8b\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-4978 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonctions-graphiques.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u56fe\u5f62\u51fd\u6570\" width=\"517\" height=\"405\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Graficar-funciones.png 667w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Graficar-funciones-500x392.png 500w\"><figcaption class=\"wp-element-caption\">\u7ebf\u6027\u51fd\u6570<\/figcaption><\/figure>\n<\/div>\n<h3 id=\"funciones-cuadraticas\" class=\"wp-block-heading\">\u4e8c\u6b21\u51fd\u6570<\/h3>\n<p>\u4e8c\u6b21\u51fd\u6570\u6216\u629b\u7269\u7ebf\u51fd\u6570\u901a\u8fc7\u4e8c\u6b21\u591a\u9879\u5f0f\u8868\u793a\uff0c\u8fd9\u5c31\u662f\u5b83\u5177\u6709\u629b\u7269\u7ebf\u5f62\u5f0f\u7684\u539f\u56e0\u3002\u4f5c\u4e3a\u9075\u5faa\u7684\u6a21\u578b\uff0c\u6211\u4eec\u5c06\u8003\u8651\u4ee5\u4e0b\u8868\u8fbe\u5f0f\uff1af(x) = ax\u00b2 + bx + c\uff0c\u5176\u4e2d a \u2260 0\u3002\u6b64\u5916\uff0c\u8fd9\u4e9b\u51fd\u6570\u8fd8\u6709\u4e24\u4e2a\u503c\u5f97\u6ce8\u610f\u7684\u7279\u5f81\uff1a\u5e45\u5ea6\u548c\u589e\u957f\u3002\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u770b\u5230\u4e00\u4e2a\u793a\u4f8b\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-4979 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representer-graphiquement-des-fonctions-quadratiques.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u7ed8\u5236\u4e8c\u6b21\u51fd\u6570\u7684\u56fe\u5f62\" width=\"527\" height=\"368\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Graficar-funciones-cuadraticas.png 649w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Graficar-funciones-cuadraticas-500x349.png 500w\"><figcaption class=\"wp-element-caption\">\u4e8c\u6b21\u51fd\u6570<\/figcaption><\/figure>\n<\/div>\n<h3 id=\"funciones-definidas-a-trozos\" class=\"wp-block-heading\">\u5206\u6bb5\u51fd\u6570<\/h3>\n<p>\u5206\u6bb5\u5b9a\u4e49\u7684\u51fd\u6570\u662f\u6839\u636e x \u7684\u503c\u5177\u6709\u4e0d\u540c\u5b9a\u4e49\u7684\u51fd\u6570\u3002\u6240\u4ee5\u5f53x\u5360\u636e\u4e00\u5b9a\u7684\u53d6\u503c\u8303\u56f4\u65f6\uff0c\u6211\u4eec\u9700\u8981\u5c1d\u8bd5\u4e00\u4e2a\u8868\u8fbe\u5f0f\u3002\u800c\u5f53 x \u5360\u636e\u5176\u4ed6\u503c\u65f6\uff0c\u5fc5\u987b\u5904\u7406\u4e0d\u540c\u7684\u8868\u8fbe\u5f0f\u3002\u6b63\u662f\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u53d1\u73b0\u4e86\u4e0d\u8fde\u7eed\u6027\uff0c\u56e0\u6b64\u4e5f\u5b58\u5728\u5c40\u9650\u6027\u3002\u56e0\u4e3a\uff0c\u5f53\u4e00\u4e2a\u529f\u80fd\u7ed3\u675f\u65f6\uff0c\u53e6\u4e00\u4e2a\u529f\u80fd\u53ef\u4ee5\u5f00\u59cb\uff0c\u4f46\u65e0\u9700\u76f4\u63a5\u8fde\u63a5\u3002\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u770b\u5230\u4e00\u4e2a\u793a\u4f8b\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-4981 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonctions-graphiques-par-morceaux.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u5206\u6bb5\u56fe\u5f62\u51fd\u6570\" width=\"550\" height=\"261\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Graficar-funciones-a-trozos-800x379.png 800w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Graficar-funciones-a-trozos-500x237.png 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Graficar-funciones-a-trozos-768x364.png 768w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Graficar-funciones-a-trozos.png 1146w\"><figcaption class=\"wp-element-caption\">\u5206\u6bb5\u51fd\u6570<\/figcaption><\/figure>\n<\/div>\n<h2 id=\"como-representar-funciones-lineales\" class=\"wp-block-heading\"> <span id=\"Como_representar_funciones_lineales\">\u5982\u4f55\u8868\u793a\u7ebf\u6027\u51fd\u6570\uff1f<\/span><\/h2>\n<p>\u4e3a\u4e86\u7ed8\u5236\u7ebf\u6027\u51fd\u6570\u7684\u56fe\u5f62\uff0c\u6211\u4eec\u9700\u8981\u9075\u5faa\u4e09\u4e2a\u975e\u5e38\u7b80\u5355\u7684\u6b65\u9aa4\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u5c06\u89e3\u91ca\u8be5\u8fc7\u7a0b\uff0c\u4f46\u5982\u679c\u60a8\u60f3\u4e86\u89e3\u5982\u4f55\u7ed8\u5236\u629b\u7269\u7ebf\u51fd\u6570\u7684\u56fe\u5f62\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u53c2\u9605\u4e0b\u4e00\u8282\u3002<\/p>\n<h3 id=\"elaborar-una-tabla-de-valores\" class=\"wp-block-heading\">\u521b\u5efa\u503c\u8868<\/h3>\n<p>\u4e3a\u4e86\u80fd\u591f\u7ed8\u5236\u51fd\u6570\u56fe\u8868\uff0c\u6211\u4eec\u9700\u8981\u521b\u5efa\u4e00\u4e2a<a href=\"https:\/\/mathority.org\/cn\/\u6570\u503c\u8ba1\u7b97\u5668\u8868\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u503c\u8868<\/a>\uff0c\u5728\u5176\u4e2d\u5199\u5165\u53d8\u91cf\u7684\u6240\u6709\u503c\u3002\u57fa\u672c\u4e0a\uff0c\u8fd9\u5c06\u4f7f\u6211\u4eec\u80fd\u591f\u5728\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u5efa\u7acb\u5173\u7cfb\uff0c\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u8ddf\u8e2a\u51fd\u6570\u7684\u8def\u5f84\u3002\u5982\u679c\u60a8\u4e0d\u77e5\u9053\u5982\u4f55\u5236\u4f5c\u503c\u8868\uff0c\u53ef\u4ee5\u67e5\u770b\u6700\u540e\u4e00\u4e2a\u94fe\u63a5\u3002\u603b\u4e4b\uff0c\u5b83\u5305\u62ec\u4e3a\u81ea\u53d8\u91cf\u8d4b\u4e88\u4e00\u4e2a\u503c\u5e76\u5c06\u672a\u77e5\u6570\u4ee3\u5165\u4e0e\u5176\u76f8\u5173\u7684\u51fd\u6570\u3002\u8fd9\u6837\u6211\u4eec\u5c31\u6709\u4e86\u4e24\u4e2a\u5173\u8054\u7684\u6570\u5b57\uff0c\u4e0b\u8868\u663e\u793a\u4e86\u4e00\u4e2a\u793a\u4f8b\uff1a<\/p>\n<p>\u6839\u636e\u51fd\u6570 f(x) = 2x+1\uff1a <\/p>\n<figure class=\"wp-block-table\">\n<table class=\"has-fixed-layout\">\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> X<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> f(x)<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 7<\/td>\n<\/tr>\n<\/tbody>\n<\/table><figcaption class=\"wp-element-caption\">\u503c\u8868\u793a\u4f8b<\/figcaption><\/figure>\n<h3 id=\"dibujar-puntos-en-la-grafica-y-unirlos-dibujando-la-funcion\" class=\"wp-block-heading\">\u5728\u56fe\u5f62\u4e0a\u7ed8\u5236\u70b9\u5e76\u901a\u8fc7\u7ed8\u5236\u51fd\u6570\u5c06\u5b83\u4eec\u8fde\u63a5\u8d77\u6765<\/h3>\n<p>\u4e00\u65e6\u6211\u4eec\u5236\u4f5c\u4e86\u8868\u683c\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5f00\u59cb\u5728\u56fe\u8868\u4e0a\u7ed8\u5236\u70b9\u3002\u6211\u4eec\u901a\u8fc7\u5c06\u81ea\u53d8\u91cf\u4e0e x \u8f74\u76f8\u5173\u8054\uff0c\u53e6\u4e00\u4e2a\u4e0e y \u8f74\u76f8\u5173\u8054\u6765\u5b9e\u73b0\u6b64\u76ee\u7684\uff0c\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u83b7\u5f97\u70b9\u3002\u60a8\u53ef\u4ee5\u7ed8\u5236\u4efb\u610f\u6570\u91cf\u7684\u70b9\uff0c\u4f46\u8981\u8868\u793a\u8fd9\u79cd\u98ce\u683c\u7684\u51fd\u6570\uff0c\u901a\u5e38\u8ba1\u7b97\u4e94\u4e2a\u70b9\u5c31\u8db3\u591f\u4e86\u3002\u4ece\u90a3\u65f6\u8d77\uff0c\u4ed6\u4eec\u5c31\u8d70\u4e0a\u4e86\u4e00\u6761\u7b14\u76f4\u7684\u9053\u8def\uff0c\u56e0\u6b64\uff0c\u65e0\u8bba\u4f60\u524d\u8fdb\u591a\u8fdc\uff0c\u5b83\u4ecd\u7136\u662f\u4e00\u6837\u7684\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6894 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-graphique-du-tableau-des-valeurs.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u6570\u503c\u8868\u7684\u56fe\u5f62\u8868\u793a\" width=\"649\" height=\"800\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Representacion-grafica-de-tabla-de-valores-649x800.png 649w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Representacion-grafica-de-tabla-de-valores-406x500.png 406w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Representacion-grafica-de-tabla-de-valores.png 667w\"><figcaption class=\"wp-element-caption\">\u6570\u503c\u8868\u7684\u56fe\u5f62\u8868\u793a<\/figcaption><\/figure>\n<\/div>\n<h3 id=\"utilizar-el-pendiente-para-graficar-una-funcion-lineal\" class=\"wp-block-heading\">\u4f7f\u7528\u659c\u7387\u7ed8\u5236\u7ebf\u6027\u51fd\u6570\u7684\u56fe\u50cf<\/h3>\n<p>\u8fd8\u6709\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u53ef\u4ee5\u5728\u6ca1\u6709\u503c\u8868\u7684\u60c5\u51b5\u4e0b\u4ee5\u56fe\u5f62\u65b9\u5f0f\u8868\u793a\u7ebf\u6027\u51fd\u6570\uff0c\u5176\u4e2d\u5305\u62ec\u8ba1\u7b97\u51fd\u6570\u7684\u659c\u7387\uff1am =\uff08\u5782\u76f4\u53d8\u5316\/\u6c34\u5e73\u53d8\u5316\uff09\u3002\u56e0\u6b64\uff0c\u4e00\u65e6\u8ba1\u7b97\u4e86\u659c\u7387\uff0c\u6211\u4eec\u5c31\u9700\u8981\u67e5\u770b\u8d77\u70b9\u3002\u56de\u5230\u524d\u9762\u7684\u4f8b\u5b50 f(x) = 2x+1\uff0c\u6211\u4eec\u77e5\u9053\u8d77\u70b9\u662f (0, 1)\uff0c\u56e0\u4e3a\u5728 x = 0 \u65f6\uff0c\u8ba1\u7b97\u673a = 1\uff08\u6211\u4eec\u4ece\u8868\u8fbe\u5f0f\u4e2d\u7684 +1 \u63a8\u5bfc\u51fa\u6765\uff09 \u3002\u7136\u540e\u53ea\u9700\u6dfb\u52a0\u659c\u7387\uff0c\u5728\u672c\u4f8b\u4e2d\uff0c\u659c\u7387\u7b49\u4e8e 1 \u6c34\u5e73\u65b9\u5411\u7684 +2 \u5782\u76f4\u65b9\u5411\u3002\u7136\u540e\u6211\u4eec\u5c31\u4f1a\u77e5\u9053\u4e0b\u4e00\u4e2a\u70b9\u5c06\u662f(1,3)\u3002<\/p>\n<h2 id=\"como-representar-funciones-cuadraticas\" class=\"wp-block-heading\"><span id=\"Como_representar_funciones_cuadraticas\">\u5982\u4f55\u8868\u793a\u4e8c\u6b21\u51fd\u6570\uff1f<\/span><\/h2>\n<p>\u4e3a\u4e86\u8868\u793a\u4e8c\u6b21\u51fd\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u91c7\u7528\u4e24\u79cd\u65b9\u6cd5\uff0c\u7b2c\u4e00\u79cd\u65b9\u6cd5\u6d89\u53ca\u503c\u8868\u3002\u7b2c\u4e8c\u4e2a\u5305\u62ec\u8ba1\u7b97\u4e00\u7cfb\u5217\u5173\u952e\u70b9\uff1a\u9876\u70b9\u3001\u4e0e X \u8f74\u7684\u4ea4\u70b9\u4ee5\u53ca\u4e0e Y \u8f74\u7684\u4ea4\u70b9\u3002\u540e\u8005\u662f\u6211\u4eec\u5c06\u5728\u4e0b\u9762\u89e3\u91ca\u7684\uff1a<\/p>\n<h3 id=\"calcular-el-vertice-de-una-parabola\" class=\"wp-block-heading\">\u8ba1\u7b97\u629b\u7269\u7ebf\u7684\u9876\u70b9<\/h3>\n<p>\u6709\u4e24\u4e2a\u516c\u5f0f\u53ef\u4ee5\u8ba9\u6211\u4eec\u8ba1\u7b97\u629b\u7269\u7ebf\u51fd\u6570\u7684\u9876\u70b9\uff0c\u57fa\u672c\u4e0a\u4e00\u4e2a\u7ed9\u51fa\u4e86 X \u8f74\u7684\u9876\u70b9\uff0c\u53e6\u4e00\u4e2a\u7ed9\u51fa\u4e86 Y \u8f74\u7684\u9876\u70b9\u3002\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u627e\u5230\u8fd9\u4e24\u4e2a\u516c\u5f0f\uff0c\u4f46\u5b83\u4eec\u5177\u6709\u76f8\u4f3c\u7684\u7ed3\u6784\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-4988 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formules-de-sommet-de-parabole.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u629b\u7269\u7ebf\u9876\u70b9\u516c\u5f0f\" width=\"617\" height=\"150\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Formulas-vertice-parabola.png 617w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/08\/Formulas-vertice-parabola-500x122.png 500w\"><figcaption class=\"wp-element-caption\">\u629b\u7269\u7ebf\u9876\u70b9\u7684\u8ba1\u7b97\u516c\u5f0f<\/figcaption><\/figure>\n<\/div>\n<h3 id=\"calcular-los-puntos-de-corte-con-el-eje-x-de-una-funcion-cuadratica\" class=\"wp-block-heading\">\u8ba1\u7b97\u4e8c\u6b21\u51fd\u6570\u4e0e X \u8f74\u7684\u4ea4\u70b9<\/h3>\n<p>\u4e3a\u4e86\u83b7\u5f97 \u7684\u4ea4\u70b9\uff0c\u6211\u4eec\u6240\u8981\u505a\u7684\u5c31\u662f\u6c42\u89e3\u65b9\u7a0b\uff0c\u5e76\u4e14\u6211\u4eec\u5df2\u7ecf\u6709\u4e86\u6211\u4eec\u6b63\u5728\u5bfb\u627e\u7684 X \u503c\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u4f5c\u4e3a\u4e8c\u6b21\u51fd\u6570\uff0c\u6211\u4eec\u5c06\u5f97\u5230\u4e24\u4e2a\u7ed3\u679c\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u4e00\u4e2a\u3002 <\/p>\n<h3 id=\"calcular-el-punto-de-corte-con-el-eje-y-de-una-funcion-cuadratica\" class=\"wp-block-heading\">\u8ba1\u7b97\u4e8c\u6b21\u51fd\u6570\u4e0e Y \u8f74\u7684\u4ea4\u70b9<\/h3>\n<p>\u6700\u540e\uff0c\u8981\u83b7\u5f97\u4e0eY\u8f74\u7684\u4ea4\u70b9\uff0c\u53ea\u9700\u8ba1\u7b97c = f(0)\u5373\u53ef\u3002\u7531\u4e8e\u5f53 x = 0 \u65f6\uff0c\u629b\u7269\u7ebf\u603b\u662f\u4e0e\u5782\u76f4\u8f74\uff08\u7eb5\u5750\u6807\uff09\u76f8\u4ea4\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u8bf4 Y \u8f74\u7684\u5207\u5272\u70b9\u4e3a (0,c)\u3002\u4e00\u65e6\u6211\u4eec\u6709\u4e86\u6240\u6709\u8fd9\u4e9b\u70b9\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5c06\u5b83\u4eec\u7ed8\u5236\u5728\u56fe\u8868\u4e0a\uff0c\u6211\u4eec\u53ea\u9700\u901a\u8fc7\u50cf\u8fd9\u6837\u7ed8\u5236\u629b\u7269\u7ebf\u6765\u5c06\u5b83\u4eec\u8fde\u63a5\u8d77\u6765\u3002<\/p>\n<h2 id=\"como-representar-funciones-a-trozos\" class=\"wp-block-heading\"><span id=\"Como_representar_funciones_a_trozos\">\u5982\u4f55\u5206\u6bb5\u8868\u793a\u51fd\u6570\uff1f<\/span><\/h2>\n<p>\u4e3a\u4e86\u80fd\u591f\u5206\u6bb5\u8868\u793a\u51fd\u6570\uff0c\u60a8\u53ef\u4ee5\u6df7\u5408\u6211\u4eec\u4e4b\u524d\u89e3\u91ca\u7684\u6240\u6709\u65b9\u6cd5\u3002\u7531\u4e8e\u8fd9\u79cd\u98ce\u683c\u7684\u51fd\u6570\u662f\u7531\u6211\u4eec\u8ba8\u8bba\u8fc7\u7684\u6240\u6709\u7c7b\u578b\u7684\u51fd\u6570\u7ec4\u6210\u7684\u3002\u56e0\u6b64\uff0c\u6709\u4e9b\u9700\u8981\u901a\u8fc7\u6570\u503c\u8868\u6765\u8ba1\u7b97\uff0c\u800c\u53e6\u4e00\u4e9b\u5219\u9700\u8981\u4f7f\u7528\u5176\u4ed6\u65b9\u6cd5\u6765\u8ba1\u7b97\u3002\u4f46\u662f\uff0c\u4e00\u65e6\u638c\u63e1\u4e86\u6211\u4eec\u5728\u672c\u6587\u4e2d\u89e3\u91ca\u7684\u5185\u5bb9\uff0c\u5728\u5206\u6bb5\u8868\u793a\u51fd\u6570\u65f6\u5c06\u4e0d\u518d\u9047\u5230\u4efb\u4f55\u95ee\u9898\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u7531\u4e8e\u5728\u4ee3\u8868\u5b83\u4eec\u65f6\u60a8\u5fc5\u987b\u8fdb\u884c\u8fde\u7eed\u6027\u7814\u7a76\uff0c\u56e0\u6b64\u6211\u4eec\u5efa\u8bae\u60a8\u5b66\u4e60\u5982\u4f55<a href=\"https:\/\/www.problemasyecuaciones.com\/limites\/calculo-limites-explicados-metodos-reglas-procedimientos-indeterminaciones-grados-infinito-resueltos.html\" target=\"_blank\" rel=\"noreferrer noopener\">\u89e3\u51b3\u9650\u5236<\/a>\uff08\u5982\u679c\u60a8\u8fd8\u4e0d\u77e5\u9053\u5982\u4f55\u89e3\u51b3\uff09\u3002\u8fd9\u5c06\u5e2e\u52a9\u60a8\u6b63\u786e\u8868\u793a\u6bcf\u4e2a\u51fd\u6570\u7684\u7aef\u70b9\u3002\u8bdd\u867d\u8fd9\u4e48\u8bf4\uff0c\u60a8\u73b0\u5728\u5df2\u7ecf\u51c6\u5907\u597d\u7ed8\u5236\u5206\u6bb5\u51fd\u6570\u548c\u4efb\u4f55\u5176\u4ed6\u7c7b\u578b\u7684\u51fd\u6570\u7684\u56fe\u5f62\u4e86\u3002\u73b0\u5728\uff0c\u6211\u4eec\u4e3a\u60a8\u63d0\u4f9b\u4e00\u7cfb\u5217\u7ed8\u56fe\u6280\u5de7\uff0c\u5e76\u5bf9\u8ba1\u7b97\u5668\u521b\u5efa\u56fe\u8868\u7684\u529f\u80fd\u8fdb\u884c\u975e\u5e38\u6709\u7528\u7684\u89e3\u91ca\u3002<\/p>\n<h2 id=\"como-hacer-graficos-con-la-calculadora\" class=\"wp-block-heading\"><span id=\"Como_hacer_graficos_con_la_calculadora\">\u5982\u4f55\u7528\u8ba1\u7b97\u5668\u5236\u4f5c\u56fe\u8868\uff1f<\/span><\/h2>\n<p>\u5982\u679c\u60a8\u6709<a href=\"https:\/\/mathority.org\/cn\" target=\"_blank\" rel=\"noreferrer noopener\">\u56fe\u5f62\u8ba1\u7b97\u5668<\/a>\uff0c\u5b83\u5c06\u5177\u6709\u7ed8\u56fe\u529f\u80fd\u3002\u4e00\u65e6\u60a8\u4e86\u89e3\u4e86\u8be5\u8fc7\u7a0b\uff0c\u8fd9\u4f1a\u5f88\u5bb9\u6613\u505a\u5230\uff0c\u4f46\u5982\u679c\u60a8\u4ecd\u7136\u4e0d\u77e5\u9053\u5982\u4f55\u64cd\u4f5c\uff0c\u73b0\u5728\u6211\u4eec\u5c06\u5411\u60a8\u89e3\u91ca\u3002<\/p>\n<ul>\n<li><strong>\u8bbf\u95ee\u56fe\u5f62\u6a21\u5f0f\uff1a<\/strong>\u7b2c\u4e00\u6b65\u662f\u4ece\u83dc\u5355\u4e2d\u8bbf\u95ee\u56fe\u5f62\u6216\u56fe\u5f62\u8868\u793a\u9009\u9879\u3002\u6b64\u9009\u9879\u53ef\u80fd\u4f1a\u4e3a\u60a8\u7684\u8ba1\u7b97\u5668\u6807\u6709\u4e0d\u540c\u7684\u540d\u79f0\uff0c\u4f46\u5b83\u5c06\u5305\u542b\u7c7b\u4f3c\u4e8e\u56fe\u5f62\u6216\u6211\u4eec\u5df2\u7ecf\u8ba8\u8bba\u8fc7\u7684\u5355\u8bcd\u3002<\/li>\n<li><strong>\u81ea\u5b9a\u4e49\u56fe\u5f62\u9009\u9879\uff1a<\/strong>\u8fdb\u5165\u56fe\u5f62\u7f16\u8f91\u5668\u540e\uff0c\u6211\u4eec\u5fc5\u987b\u4e3a\u6587\u4ef6\u547d\u540d\uff0c\u6807\u8bb0\u8f74\uff0c\u9009\u62e9\u5c06\u7ed8\u5236\u56fe\u5f62\u7684\u5143\u7d20\u6570\u91cf\u5e76\u914d\u7f6e\u8868\u793a\u7684\u7f8e\u89c2\u9009\u9879\u3002\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u5feb\u901f\u7684\u6b65\u9aa4\u3002<\/li>\n<li><strong>\u6dfb\u52a0\u51fd\u6570\u7684\u70b9\uff1a<\/strong>\u7136\u540e\u60a8\u53ef\u4ee5\u5f00\u59cb\u6dfb\u52a0\u5c06\u5f62\u6210\u56fe\u5f62\u7684\u70b9\u3002\u60a8\u53ef\u4ee5\u901a\u8fc7\u4f7f\u7528\u4ee5\u4e0b\u7b26\u53f7\u4e66\u5199\u70b9\u6765\u5b8c\u6210\u6b64\u64cd\u4f5c\uff1a(0,1)\u3001(3,2)\u2026\u5e76\u4e14\u60a8\u5c06\u7ee7\u7eed\u6dfb\u52a0\u70b9\uff0c\u76f4\u5230\u5b8c\u6210\u7ed8\u56fe\u3002<\/li>\n<li><strong>\u4f7f\u7528\u201c\u9884\u89c8\u201d\u529f\u80fd\uff1a<\/strong>\u5b8c\u6210\u9879\u76ee\u540e\uff0c\u60a8\u53ef\u4ee5\u9884\u89c8\u7ed3\u679c\u5e76\u67e5\u770b\u7ed3\u679c\u662f\u5426\u7b26\u5408\u9884\u671f\u3002\u53e6\u5916\uff0c\u8bb8\u591a\u6a21\u677f\u90fd\u5177\u6709\u6b64\u9884\u89c8\u7684\u7f16\u8f91\u9009\u9879\uff0c\u56e0\u6b64\u60a8\u53ef\u4ee5\u8c03\u6574\u7ed3\u679c\u76f4\u5230\u5b8c\u7f8e\u3002<\/li>\n<li><strong>\u4fdd\u5b58\u9879\u76ee\uff1a<\/strong>\u5b8c\u6210\u6574\u4e2a\u7f16\u8f91\u8fc7\u7a0b\u540e\uff0c\u8bf7\u8bb0\u4f4f\u5c06\u5176\u4fdd\u5b58\u5728\u6613\u4e8e\u8bb0\u5fc6\u7684\u4f4d\u7f6e\u3002\u8fd9\u6837\uff0c\u65e0\u8bba\u4f55\u65f6\u60a8\u9700\u8981\uff0c\u60a8\u90fd\u53ef\u4ee5\u518d\u6b21\u8bbf\u95ee\u8be5\u9879\u76ee\u4ee5\u8fdb\u884c\u67e5\u770b\u6216\u8fdb\u884c\u6240\u9700\u7684\u6539\u8fdb\u3002<\/li>\n<\/ul>\n<h3 id=\"mejores-calculadoras-para-representar-funciones\" class=\"wp-block-heading\">\u8868\u793a\u51fd\u6570\u7684\u6700\u4f73\u8ba1\u7b97\u5668<\/h3>\n<p>\u5982\u679c\u60a8\u6709\u5174\u8da3\u8d2d\u4e70\u80fd\u591f\u5728\u540c\u4e00\u8ba1\u7b97\u5668\u4e0a\u8868\u793a\u51fd\u6570\u7684\u56fe\u5f62\u6a21\u578b\uff0c\u6211\u4eec\u63a8\u8350\u4e24\u79cd\u578b\u53f7\uff1a <a href=\"https:\/\/mathority.org\/cn\" target=\"_blank\" rel=\"noreferrer noopener\">HP 50G<\/a>\u548c<a href=\"https:\/\/mathority.org\/cn\" target=\"_blank\" rel=\"noreferrer noopener\">HP Prime<\/a> \u3002\u8fd9\u662f\u4e24\u79cd\u6700\u9ad8\u8d28\u91cf\u7684\u578b\u53f7\uff0c\u5c3d\u7ba1\u4ef7\u683c\u6602\u8d35\uff0c\u6240\u4ee5\u60a8\u9700\u8981\u95ee\u81ea\u5df1\u8fd9\u7b14\u6295\u8d44\u662f\u5426\u503c\u5f97\u3002\u4f8b\u5982\uff0c\u5982\u679c\u60a8\u8981\u5b66\u4e60\u5de5\u7a0b\u5b66\u7b49\u6570\u5b66\u975e\u5e38\u590d\u6742\u7684\u804c\u4e1a\uff0c\u90a3\u4e48\u5f3a\u70c8\u5efa\u8bae\u60a8\u8d2d\u4e70\u8fd9\u4e24\u79cd\u578b\u53f7\u4e4b\u4e00\u3002\u4f46\u662f\uff0c\u5982\u679c\u60a8\u4e0d\u9700\u8981\u592a\u591a\u7684\u8ba1\u7b97\u6216\u56fe\u5f62\u5904\u7406\u80fd\u529b\uff0c\u4e5f\u8bb8<a href=\"https:\/\/mathority.org\/cn\" target=\"_blank\" rel=\"noreferrer noopener\">Casio FX-9750GII<\/a>\u5c31\u8db3\u591f\u4e86\u3002<\/p>\n<h2 id=\"como-graficar-funciones-online\" class=\"wp-block-heading\"><span id=\"Como_graficar_funciones_online\">\u5982\u4f55\u5728\u7ebf\u7ed8\u5236\u51fd\u6570\u56fe\uff1f<\/span><\/h2>\n<p>\u60a8\u59cb\u7ec8\u53ef\u4ee5\u9009\u62e9\u4f7f\u7528\u5728\u7ebf\u56fe\u5f62\u7a0b\u5e8f\uff0c\u4f8b\u5982\uff1a <a href=\"https:\/\/www.desmos.com\/\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">Desmos<\/a> \u3001 <a href=\"https:\/\/www.geogebra.org\/\" target=\"_blank\" rel=\"noreferrer noopener 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