{"id":115,"date":"2023-07-16T22:47:33","date_gmt":"2023-07-16T22:47:33","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%ba%8c%e6%ac%a1%e6%96%b9%e7%a8%8b\/"},"modified":"2023-07-16T22:47:33","modified_gmt":"2023-07-16T22:47:33","slug":"%e4%ba%8c%e6%ac%a1%e6%96%b9%e7%a8%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%ba%8c%e6%ac%a1%e6%96%b9%e7%a8%8b\/","title":{"rendered":"\u5982\u4f55\u89e3\u4e8c\u6b21\u65b9\u7a0b\uff1f"},"content":{"rendered":"<p><strong>\u4e8c\u6b21\u65b9\u7a0b\u6216\u4e8c\u6b21\u65b9\u7a0b<\/strong>\u662f 2 \u6b21\u65b9\u7a0b\uff0c\u5176\u4e2d\u4e00\u9879\u7684\u6700\u5927\u6307\u6570\u7b49\u4e8e 2\u3002\u8fd9\u610f\u5473\u7740\u8be5\u65b9\u7a0b\u6700\u591a\u53ef\u4ee5\u6709\u4e24\u4e2a\u4e0d\u540c\u7684\u89e3\uff0c\u5c3d\u7ba1\u5b83\u4e5f\u53ef\u80fd\u6709\u552f\u4e00\u89e3\u6216\u4e00\u4e2a\u90fd\u6ca1\u6709\u3002<\/p>\n<p>\u8981\u8ba1\u7b97\u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3\u6216\u6839\uff0c\u6211\u4eec\u53ef\u4ee5\u9075\u5faa\u4e24\u79cd\u4e0d\u540c\u7684\u8fc7\u7a0b\uff1a\u901a\u8fc7<strong>\u4e8c\u6b21\u516c\u5f0f<\/strong>\u6216<strong>\u901a\u8fc7\u56e0\u5f0f\u5206\u89e3\u8868\u8fbe\u5f0f<\/strong>\u3002\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u8ba8\u8bba\u8fd9\u4e24\u79cd\u65b9\u6cd5\u5e76\u4e3a\u60a8\u63d0\u4f9b\u4e00\u4e9b\u5b9e\u9645\u7ec3\u4e60\u3002\u5c3d\u7ba1\u5728\u4e4b\u524d\u6211\u4eec\u5c06\u6f84\u6e05\u4e00\u4e9b\u6982\u5ff5\uff0c\u4ee5\u4fbf\u5f88\u597d\u5730\u7406\u89e3\u6574\u4e2a\u89e3\u91ca\uff0c\u5e76\u4e14\u60a8\u53ef\u4ee5\u4ece\u9605\u8bfb\u4e2d\u83b7\u5f97\u6700\u5927\u6536\u76ca\u3002<\/p>\n<h2 id=\"tipos-de-ecuaciones-de-segundo-grado\" class=\"wp-block-heading\"><span id=\"Tipos_de_ecuaciones_de_segundo_grado\">\u4e8c\u6b21\u65b9\u7a0b\u7684\u7c7b\u578b<\/span><\/h2>\n<p>\u4e8c\u6b21\u65b9\u7a0b\u4e4b\u95f4\u7684\u4e3b\u8981\u5206\u7c7b\u662f\u57fa\u4e8e\u8868\u8fbe\u5f0f\u672c\u8eab\u7684\u7ed3\u6784\u3002\u56e0\u6b64\uff0c\u8fd9\u4e9b\u8868\u8fbe\u5f0f\u7684\u6807\u51c6\u6216\u901a\u5e38\u7ed3\u6784\u5982\u4e0b\uff1a <strong>ax\u00b2 + bx + c<\/strong> \u3002\u8fd9\u79cd\u5e38\u89c1\u5f62\u5f0f\u76f8\u5f53\u4e8e\u4e00\u4e2a\u5b8c\u6574\u7684\u65b9\u7a0b\uff0c\u4f46\u662f\u5f53\u5b58\u5728\u7a7a\u9879\u6216\u7a7a\u9879\u65f6\uff0c\u7ed3\u6784\u53ef\u80fd\u4f1a\u53d1\u751f\u53d8\u5316\uff0c\u8fd9\u5c31\u662f\u4e0d\u5b8c\u6574\u65b9\u7a0b\u51fa\u73b0\u7684\u5730\u65b9\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u66f4\u8be6\u7ec6\u5730\u89e3\u91ca\u6240\u6709\u7c7b\u578b\u7684\u7279\u5f81\u3002<\/p>\n<h3 id=\"ecuaciones-de-segundo-grado-completas\" class=\"wp-block-heading\">\u5b8c\u5168\u4e8c\u6b21\u65b9\u7a0b<\/h3>\n<p>\u6b63\u5982\u6211\u4eec\u5df2\u7ecf\u8bf4\u8fc7\u7684\uff0c\u6211\u4eec\u6709<strong>\u5b8c\u6574\u7684\u4e8c\u6b21\u65b9\u7a0b<\/strong>\uff0c\u5b83\u4eec\u7684\u6240\u6709\u7cfb\u6570 a\u3001b \u548c c \u5747\u975e\u96f6\u3002\u56e0\u6b64\uff0c\u8be5\u8868\u8fbe\u5f0f\u4e25\u683c\u9075\u5faa\u7ed3\u6784 ax\u00b2 + bx + c\uff0c\u56e0\u4e3a\u5b83\u5177\u6709\u6240\u6709\u9879\uff1a\u4e8c\u6b21\u9879\u3001\u7ebf\u6027\u9879\u548c\u72ec\u7acb\u9879\u3002\u8fd9\u79cd\u7c7b\u578b\u7684\u793a\u4f8b\u5982\u4e0b\uff1ax\u00b2 + 2x + 1 = 0\u3002<\/p>\n<h3 id=\"ecuaciones-de-segundo-grado-incompletas\" class=\"wp-block-heading\">\u4e0d\u5b8c\u5168\u4e8c\u6b21\u65b9\u7a0b<\/h3>\n<p>\u5bf9\u4e8e\u4e0d\u5b8c\u5907\u65b9\u7a0b\uff0c\u6211\u4eec\u53ef\u4ee5\u6839\u636e\u54ea\u4e2a\u7cfb\u6570\u4e3a\u96f6\u6765\u533a\u5206\u3002\u8bf7\u8bb0\u4f4f\uff0c\u5982\u679c\u8fd9\u4e2a\u89e3\u91ca\u4e0d\u80fd\u89e3\u51b3\u60a8\u7684\u7591\u95ee\uff0c\u4e0b\u9762\u662f\u4e00\u5f20\u56fe\u7247\uff0c\u60a8\u53ef\u4ee5\u5728\u5176\u4e2d\u627e\u5230\u9010\u6b65\u89e3\u91ca\u7684\u6240\u6709\u6848\u4f8b\u3002<\/p>\n<ul>\n<li><strong>\u4e0d\u5b8c\u5168\u65b9\u7a0b (b = 0)\uff1a<\/strong>\u5728\u7b2c\u4e00\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u627e\u5230\u4e00\u4e2a\u9075\u5faa\u4ee5\u4e0b\u7ed3\u6784\u7684\u8868\u8fbe\u5f0f\uff1aax\u00b2 + c = 0\u3002\u7531\u6b64\uff0c\u6211\u4eec\u5f97\u5230\u4e24\u4e2a\u7ed3\u679c\uff1a\u5206\u6570 c\/a \u7684\u6839\u7684\u8d1f\u6570\u548c\u6b63\u6570\u3002<\/li>\n<li><strong>\u4e0d\u5b8c\u5168\u65b9\u7a0b (c = 0)\uff1a<\/strong>\u5f53\u6211\u4eec\u5177\u6709 ax\u00b2 + bx = 0 \u7684\u5f62\u5f0f\u65f6\uff0c\u6211\u4eec\u5fc5\u987b\u5bf9\u65b9\u7a0b\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u4ee5\u83b7\u5f97\u8868\u8fbe\u5f0f x (ax + b) = 0\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u6709\u4e24\u4e2a\u89e3\uff1ax = 0 \u548c x = &#8211; b\/a\u3002<\/li>\n<li><strong>\u4e0d\u5b8c\u5168\u65b9\u7a0b (b = c = 0)\uff1a<\/strong>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u6709\u4e00\u4e2a\u65b9\u7a0b ax\u00b2 = 0\uff0c\u5e76\u4e14\u53ea\u6709\u4e00\u4e2a\u53ef\u80fd\u7684\u89e3\uff0c\u5373 x = 0\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6482 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formules-equations-incompletes.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u516c\u5f0f \u4e0d\u5b8c\u5168\u65b9\u7a0b\" width=\"603\" height=\"312\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Formulas-ecuaciones-incompletas.png 603w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Formulas-ecuaciones-incompletas-500x259.png 500w\"><figcaption>\u51b3\u8bae\u89e3\u91ca<\/figcaption><\/figure>\n<\/div>\n<p>\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0c\u6211\u4eec\u6559\u7ed9\u60a8\u7684\u7a0b\u5e8f\u53ef\u4ee5\u8ba9\u60a8\u5728\u6c42\u89e3\u4e0d\u5b8c\u6574\u65b9\u7a0b\u65f6\u901f\u5ea6\u66f4\u5feb\u3002\u4f46\u662f\uff0c\u5728\u6240\u6709\u60c5\u51b5\u4e0b\uff0c\u60a8\u90fd\u53ef\u4ee5\u4f7f\u7528\u6211\u4eec\u4e0b\u9762\u5c06\u6559\u60a8\u7684<strong>\u4e8c\u6b21\u516c\u5f0f<\/strong>\uff0c\u60a8\u53ea\u9700\u5728\u4e0d\u5b58\u5728\u7684\u7cfb\u6570\u4e2d\u5199\u5165\u96f6\u5373\u53ef\u3002<\/p>\n<h2 id=\"formula-para-ecuaciones-de-segundo-grado\" class=\"wp-block-heading\"><span id=\"Formula_para_ecuaciones_de_segundo_grado\">\u4e8c\u6b21\u65b9\u7a0b\u7684\u516c\u5f0f<\/span><\/h2>\n<p>\u4e3a\u4e86\u6c42\u89e3\u4e8c\u6b21\u65b9\u7a0b\uff08ax\u00b2 + bx + c = 0\uff09\uff0c\u6211\u4eec\u9700\u8981\u5e94\u7528\u4e00\u822c\u516c\u5f0f\u6216\u4e8c\u6b21\u516c\u5f0f\uff0c\u7136\u540e\u6211\u4eec\u9700\u8981<strong>\u4ee3\u5165\u6570\u5b66\u8868\u8fbe\u5f0f\u4e2d\u6bcf\u4e2a\u5b57\u6bcd\u5bf9\u5e94\u7684\u6570\u503c<\/strong>\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-3185 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-dequation-quadratique.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u6c42\u89e3\u4e8c\u6b21\u65b9\u7a0b\u7684\u516c\u5f0f\" width=\"445\" height=\"190\" data-src=\"\"><figcaption>\u4e8c\u6b21\u516c\u5f0f<\/figcaption><\/figure>\n<\/div>\n<p>\u53e6\u5916\uff0c\u9700\u8981\u89e3\u91ca\u7684\u662f\uff0c<strong>\u5224\u522b\u5f0f (\u0394)<\/strong>\u662f\u8868\u8fbe\u5f0f b\u00b2 \u2013 4ac\uff0c\u5b83\u4f4d\u4e8e\u5e73\u65b9\u6839\u4e0b\u65b9\u3002\u4ece\u8fd9\u4e2a\u6570\u5b66\u6982\u5ff5\u6211\u4eec\u53ef\u4ee5\u77e5\u9053\u8fd9\u4e2a\u4e8c\u6b21\u65b9\u7a0b\u6709\u591a\u5c11\u4e2a\u89e3\u3002\u57fa\u672c\u4e0a\uff0c\u6709\u4e09\u79cd\u9009\u62e9\uff1a\u5224\u522b\u5f0f\u4e3a\u8d1f\uff08\u6ca1\u6709\u5b9e\u6570\u89e3\uff09\uff0c\u5224\u522b\u5f0f\u4e3a\u96f6\uff08\u53ea\u6709\u4e00\u4e2a\u89e3\uff09\uff0c\u6216\u8005\u5224\u522b\u5f0f\u4e3a\u6b63\uff08\u6709\u4e24\u4e2a\u89e3\uff09\u3002<\/p>\n<h3 id=\"ejemplo-de-una-ecuacion-cuadratica-completa-resuelta\" class=\"wp-block-heading\">\u6c42\u89e3\u5b8c\u5168\u4e8c\u6b21\u65b9\u7a0b\u7684\u793a\u4f8b<\/h3>\n<p>\u5c1d\u8bd5\u6c42\u89e3\u4ee5\u4e0b\u4e8c\u6b21\u65b9\u7a0b\uff1a <strong>2x\u00b2+4x-6=0<\/strong>\u5e76\u7528\u4e0b\u9762\u7684\u7ed3\u679c\u68c0\u67e5\u60a8\u7684\u7ed3\u679c\u3002\u6211\u4eec\u5efa\u8bae\u60a8\u9075\u5faa\u4ee5\u4e0b\u8fc7\u7a0b\uff1a\u5206\u6790\u65b9\u7a0b\u7684\u7c7b\u578b\uff08\u8bc6\u522b\u96f6\u9879\uff09\uff0c\u8ba1\u7b97\u5224\u522b\u5f0f\u4ee5\u4e86\u89e3\u73b0\u6709\u89e3\u7684\u6570\u91cf\uff0c\u6700\u540e\u7528\u516c\u5f0f\u6c42\u89e3\u5efa\u8bae\u7684\u65b9\u7a0b\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-3604 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/resolution-dequation-quadratique.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u6c42\u89e3\u4e8c\u6b21\u65b9\u7a0b\" width=\"562\" height=\"403\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/04\/Resolucion-de-ecuacion-de-segundo-grado.png 562w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2021\/04\/Resolucion-de-ecuacion-de-segundo-grado-500x359.png 500w\"><figcaption>\u6c42\u89e3\u4e8c\u6b21\u65b9\u7a0b<\/figcaption><\/figure>\n<\/div>\n<h2 id=\"factorizar-ecuaciones-de-segundo-grado\" class=\"wp-block-heading\"><span id=\"Factorizar_ecuaciones_de_segundo_grado\">\u9636\u4e58\u4e8c\u6b21\u65b9\u7a0b<\/span><\/h2>\n<p>\u6c42\u89e3\u4e8c\u6b21\u65b9\u7a0b\u7684\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u662f<strong>\u56e0\u5f0f\u5206\u89e3<\/strong>\u3002\u56e0\u6b64\uff0c\u8981<a href=\"https:\/\/mathority.org\/cn\/\u9636\u4e58\u591a\u9879\u5f0f\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u56e0\u5f0f\u5206\u89e3\u591a\u9879\u5f0f<\/a>\uff08\u5728\u6211\u4eec\u7684\u4f8b\u5b50\u4e2d\u662f\u4e8c\u6b21\u591a\u9879\u5f0f\uff09\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e0d\u540c\u7684\u65b9\u6cd5\u3002\u5c3d\u7ba1\u4e00\u822c\u6765\u8bf4\uff0c\u5f53\u6d89\u53ca\u5230\u8fd9\u79cd\u7c7b\u578b\u7684\u65b9\u7a0b\u65f6\uff0c\u5b83\u4eec\u901a\u5e38\u53ef\u4ee5\u901a\u8fc7\u901a\u7528\u9879\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u3002\u5982\u679c\u6ca1\u6709\uff0c\u60a8\u53ef\u4ee5\u5c1d\u8bd5\u5e94\u7528<a href=\"https:\/\/mathority.org\/cn\" target=\"_blank\" rel=\"noreferrer noopener\">Notable Identities<\/a> \uff0c\u4f46\u901a\u5e38\u5728\u8fd9\u4e9b\u60c5\u51b5\u4e0b\u60a8\u4e0d\u9700\u8981\u77e5\u9053\u4efb\u4f55\u5176\u4ed6\u65b9\u6cd5\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6484 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equations-quadratiques-factorielles.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u9636\u4e58\u4e8c\u6b21\u65b9\u7a0b\" width=\"294\" height=\"293\" data-src=\"\"><figcaption>\u52a0\u6743\u4e8c\u6b21\u65b9\u7a0b<\/figcaption><\/figure>\n<\/div>\n<h2 id=\"ejercicios-de-ecuaciones-de-segundo-grado-con-soluciones\" class=\"wp-block-heading\"><span id=\"Ejercicios_de_ecuaciones_de_segundo_grado_con_soluciones\">\u4e8c\u6b21\u65b9\u7a0b\u7ec3\u4e60\u53ca\u89e3<\/span><\/h2>\n<p>\u4e0b\u9762\u60a8\u5c06\u627e\u5230\u4e00\u7cfb\u5217\u5173\u4e8e<strong>\u5b8c\u5168\u548c\u4e0d\u5b8c\u5168\u4e8c\u6b21\u65b9\u7a0b\u7684<\/strong>\u7ec3\u4e60\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u60a8\u5c06\u56de\u987e\u672c\u6587\u4e2d\u89e3\u91ca\u7684\u6240\u6709\u7406\u8bba\uff0c\u5e76\u4e14\u4f1a\u66f4\u6e05\u695a\u5982\u4f55\u5728\u7ec3\u4e60\u4e2d\u5e94\u7528\u5b83\u3002\u6211\u4eec\u5efa\u8bae\u60a8\u5c1d\u8bd5\u81ea\u5df1\u89e3\u51b3\u5b83\u4eec\uff0c\u5e76\u4e14\u4ec5\u5728\u5b8c\u6210\u5b83\u4eec\u6216\u9047\u5230\u56f0\u96be\u65f6\u624d\u67e5\u770b\u89e3\u51b3\u65b9\u6848\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4f60\u73b0\u5728\u5c31\u53ef\u4ee5\u5f00\u59cb\u89e3\u51b3\u7ec3\u4e60\u4e86\u3002<\/p>\n<h3 id=\"ejercicio-1\" class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u4e8c\u6b21\u65b9\u7a0b\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-27\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6487 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-quadratique-resolue.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u4e8c\u6b21\u65b9\u7a0b\u6c42\u89e3\" width=\"326\" height=\"411\" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u5224\u522b\u5f0f\uff0c\u4ee5\u4e86\u89e3\u53ef\u80fd\u7684\u89e3\u51b3\u65b9\u6848\u7684\u6570\u91cf\u3002<\/li>\n<li>\u7531\u4e8e\u8fd9\u662f\u4e00\u4e2a\u5b8c\u6574\u7684\u4e8c\u6b21\u65b9\u7a0b\uff0c\u6211\u4eec\u5e94\u7528\u4e8c\u6b21\u516c\u5f0f\u5e76\u6c42\u89e3\u8ba1\u7b97\u3002<\/li>\n<li>\u6211\u4eec\u5f97\u5230\u672a\u77e5 x \u7684\u503c\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 id=\"ejercicio-2\" class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u4e8c\u6b21\u65b9\u7a0b\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-30\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6488 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-quadratique-incomplete.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u4e0d\u5b8c\u5168\u4e8c\u6b21\u65b9\u7a0b\" width=\"341\" height=\"368\" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u5224\u522b\u5f0f\u3002<\/li>\n<li>\u7531\u4e8e\u6211\u4eec\u6709\u4e00\u4e2a\u4e0d\u5b8c\u5168\u4e8c\u6b21\u65b9\u7a0b\uff0c\u5176\u4e2d b = 0\uff0c\u56e0\u6b64\u6211\u4eec\u5e94\u7528\u6b64\u7c7b\u65b9\u7a0b\u7684\u6807\u51c6\u3002<\/li>\n<li>\u6211\u4eec\u89e3\u7b97\u5f97\u5230\u7ed3\u679c\uff0c\u4e0d\u80fd\u5fd8\u8bb0\u00b1\u53f7\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 id=\"ejercicio-3\" class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u65e0\u5e8f\u4e8c\u6b21\u65b9\u7a0b\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-33\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6493 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-quadratique-non-ordonnee.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u65e0\u5e8f\u4e8c\u6b21\u65b9\u7a0b\" width=\"344\" height=\"522\" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u65b9\u7a0b\u7684\u5224\u522b\u5f0f\u3002<\/li>\n<li>\u5728\u5e94\u7528\u8be5\u516c\u5f0f\u4e4b\u524d\uff0c\u6211\u4eec\u9700\u8981\u6839\u636e\u7ed3\u6784 ax\u00b2 + bx + c = 0 \u5bf9\u65b9\u7a0b\u8fdb\u884c\u6392\u5e8f\u3002<\/li>\n<li>\u7136\u540e\u6211\u4eec\u5e94\u7528\u4e00\u822c\u516c\u5f0f\u3002<\/li>\n<li>\u6700\u540e\u6211\u4eec\u5f97\u5230\u7ed3\u679c\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 id=\"ejercicio-4\" class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u901a\u8fc7\u56e0\u5f0f\u5206\u89e3\u6c42\u89e3\u4ee5\u4e0b\u4e8c\u6b21\u65b9\u7a0b\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-36\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6495 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-incomplete.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u4e0d\u5b8c\u5168\u65b9\u7a0b\" width=\"324\" height=\"467\" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u5224\u522b\u5f0f\u3002<\/li>\n<li>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u63d0\u53d6 x \u7684\u516c\u56e0\u6570\u3002<\/li>\n<li>\u6240\u4ee5\u7b2c\u4e00\u4e2a\u89e3\u662f x = 0\u3002<\/li>\n<li>\u7b2c\u4e8c\u4e2a\u662f x = 3\/2\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 id=\"ejercicio-5\" class=\"wp-block-heading\">\u7ec3\u4e605<\/h3>\n<p>\u6c42\u89e3\u5982\u4e0b\u6240\u793a\u7684\u5b8c\u6574\u4e8c\u6b21\u65b9\u7a0b\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-39\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6496 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-quadratique-facile.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u7b80\u5355\u7684\u4e8c\u6b21\u65b9\u7a0b\" width=\"335\" height=\"505\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Ecuacion-de-segundo-grado-facil.png 335w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Ecuacion-de-segundo-grado-facil-332x500.png 332w\"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u4e0e\u5f80\u5e38\u4e00\u6837\uff0c\u6211\u4eec\u8ba1\u7b97\u5224\u522b\u5f0f\u4ee5\u627e\u51fa\u6240\u8ba8\u8bba\u7684\u65b9\u7a0b\u6709\u591a\u5c11\u4e2a\u89e3\u3002<\/li>\n<li>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5e94\u7528\u4e8c\u6b21\u516c\u5f0f\uff0c\u56e0\u4e3a\u5b83\u662f\u4e00\u4e2a\u5b8c\u6574\u7684\u65b9\u7a0b\u3002<\/li>\n<li>\u6700\u540e\uff0c\u6211\u4eec\u8868\u8fbe\u65b9\u7a0b\u7684\u7ed3\u679c\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 id=\"ejercicio-6\" class=\"wp-block-heading\">\u7ec3\u4e606<\/h3>\n<p>\u7528\u6211\u4eec\u63d0\u4f9b\u7684\u5206\u6570\u6c42\u89e3\u4e8c\u6b21\u65b9\u7a0b\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-42\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6497 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-quadratique-avec-fractions.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u5e26\u5206\u6570\u7684\u4e8c\u6b21\u65b9\u7a0b\" width=\"380\" height=\"609\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Ecuacion-de-segundo-grado-con-fracciones.png 380w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Ecuacion-de-segundo-grado-con-fracciones-312x500.png 312w\"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u8868\u8fbe\u5f0f\u7684\u5224\u522b\u5f0f\u3002<\/li>\n<li>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5e94\u7528\u4e8c\u6b21\u516c\u5f0f\uff0c\u8003\u8651\u5230\u7cfb\u6570\u201ca\u201d\u662f\u7531\u5206\u6570\u7ec4\u6210\u7684\u3002<\/li>\n<li>\u6211\u4eec\u89e3\u51b3\u8ba1\u7b97\u3002<\/li>\n<li>\u6211\u4eec\u5df2\u7ecf\u6709\u4e86\u65b9\u7a0b\u7684\u4e24\u4e2a\u6839\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 id=\"ejercicio-7\" class=\"wp-block-heading\">\u7ec3\u4e607<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u4e8c\u6b21\u65b9\u7a0b\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-45\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6498 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-quadratique-difficile.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u4e8c\u6b21\u65b9\u7a0b\u96be\u5ea6\" width=\"473\" height=\"675\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Ecuacion-de-segundo-grado-dificil.png 473w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Ecuacion-de-segundo-grado-dificil-350x500.png 350w\"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u5224\u522b\u5f0f\u3002<\/li>\n<li>\u5728\u5e94\u7528\u516c\u5f0f\u4e4b\u524d\uff0c\u6211\u4eec\u9700\u8981\u7b80\u5316\u8868\u8fbe\u5f0f\u5e76\u7ed9\u51fa ax\u00b2 + b + c = 0 \u7684\u5f62\u5f0f\u3002<\/li>\n<li>\u6211\u4eec\u4ee3\u5165\u516c\u5f0f\u4e2d\u7684\u6240\u6709\u7cfb\u6570\u5e76\u6c42\u89e3\u8ba1\u7b97\u3002<\/li>\n<li>\u6700\u540e\u6211\u4eec\u5f97\u5230\u7ed3\u679c\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 id=\"ejercicio-8\" class=\"wp-block-heading\">\u7ec3\u4e608<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u4e8c\u6b21\u65b9\u7a0b\u7684\u8bc1\u660e\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-48\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6499 lazyload\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-dequations-quadratiques.webp\" sizes=\"auto, \" srcset=\"\" alt=\"\u4e8c\u6b21\u65b9\u7a0b\u7ec3\u4e60\" width=\"490\" height=\"522\" data-src=\"\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Ejercicios-de-ecuaciones-de-segundo-grado.png 490w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2022\/01\/Ejercicios-de-ecuaciones-de-segundo-grado-469x500.png 469w\"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u5224\u522b\u5f0f\u3002<\/li>\n<li>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u8fd9\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u4e8c\u6b21\u65b9\u7a0b\uff0c\u5c3d\u7ba1\u5b83\u5177\u6709\u76f8\u5f53\u5927\u7684\u7cfb\u6570\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5728\u5e94\u7528\u516c\u5f0f\u7684\u65f6\u5019\u9700\u8981\u5c0f\u5fc3\u64cd\u4f5c\u3002<\/li>\n<li>\u6700\u7ec8\u6211\u4eec\u5f97\u5230\u4e86\u4e24\u79cd\u53ef\u80fd\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u6b21\u65b9\u7a0b\u6216\u4e8c\u6b21\u65b9\u7a0b\u662f 2 \u6b21\u65b9\u7a0b\uff0c\u5176\u4e2d\u4e00\u9879\u7684\u6700\u5927\u6307\u6570\u7b49\u4e8e 2\u3002\u8fd9\u610f\u5473\u7740\u8be5\u65b9\u7a0b\u6700\u591a\u53ef\u4ee5\u6709\u4e24\u4e2a\u4e0d\u540c\u7684\u89e3\uff0c\u5c3d\u7ba1\u5b83\u4e5f\u53ef &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%ba%8c%e6%ac%a1%e6%96%b9%e7%a8%8b\/\"> <span class=\"screen-reader-text\">\u5982\u4f55\u89e3\u4e8c\u6b21\u65b9\u7a0b\uff1f<\/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":[9],"tags":[],"class_list":["post-115","post","type-post","status-publish","format-standard","hentry","category-9"],"yoast_head":"<!-- This site is optimized 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