{"id":114,"date":"2023-07-16T22:54:49","date_gmt":"2023-07-16T22:54:49","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%b8%80%e6%ac%a1%e6%96%b9%e7%a8%8b\/"},"modified":"2023-07-16T22:54:49","modified_gmt":"2023-07-16T22:54:49","slug":"%e4%b8%80%e6%ac%a1%e6%96%b9%e7%a8%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%b8%80%e6%ac%a1%e6%96%b9%e7%a8%8b\/","title":{"rendered":"\u5982\u4f55\u89e3\u4e00\u6b21\u65b9\u7a0b\uff1f"},"content":{"rendered":"<p><strong>\u4e00\u6b21\u65b9\u7a0b\u6216\u7ebf\u6027\u65b9\u7a0b<\/strong>\u662f<a href=\"https:\/\/mathority.org\/cn\/\u5b66\u4e60\u4ee3\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u4ee3\u6570<\/a>\u7684\u57fa\u7840\uff0c\u56e0\u4e3a\u5982\u679c\u4f60\u4e0d\u7406\u89e3\u5b83\u4eec\uff0c\u4f60\u5c06\u5f88\u96be\u7406\u89e3\u66f4\u590d\u6742\u7684\u65b9\u7a0b\u3002\u56e0\u6b64\uff0c\u6b64\u7c7b\u65b9\u7a0b\u7684\u7279\u6b8a\u6027\u5728\u4e8e\u5355\u9879\u5f0f\u7684\u6587\u5b57\u90e8\u5206\u4e0d\u80fd\u6709\u6307\u6570\u3002\u56e0\u6b64\uff0c\u5728\u7ebf\u6027\u65b9\u7a0b\u4e2d\uff0c\u6211\u4eec\u53ea\u4f1a\u627e\u5230\u6ca1\u6709\u6587\u5b57\u90e8\u5206\u7684\u5355\u9879\u5f0f\u548c\u6709\u6587\u5b57\u90e8\u5206\u4f46\u6ca1\u6709\u6307\u6570\u7684\u5355\u9879\u5f0f\uff0c\u4f8b\u5982\uff1a <strong>3 + x = -5 \u2013 3x<\/strong> \u3002<\/p>\n<p>\u53e6\u8bf7\u6ce8\u610f\uff0c\u8fd9\u4e9b\u65b9\u7a0b\u901a\u5e38\u6709\u552f\u4e00\u89e3\uff0c\u4f46\u4e5f\u53ef\u80fd\u6ca1\u6709\u3002\u4e3a\u4e86\u77e5\u9053\u6211\u4eec\u9762\u4e34\u7684\u662f\u54ea\u79cd\u60c5\u51b5\uff0c\u6211\u4eec\u5fc5\u987b<strong>\u6c42\u89e3\u65b9\u7a0b\u5e76\u6700\u7ec8\u5206\u6790\u7ed3\u679c<\/strong>\u3002\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u5f97\u5230\u4e00\u4e2a\u4e0d\u53ef\u80fd\u7684\u7b49\u5f0f\uff0c\u4f8b\u5982 2 = 0\uff0c\u5219\u65b9\u7a0b\u65e0\u89e3\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u6211\u4eec\u5f97\u5230\u4e00\u4e2a\u59cb\u7ec8\u4e3a\u771f\u7684\u7b49\u5f0f\uff0c\u90a3\u4e48\u89e3\u5c31\u7b49\u4ef7\u4e8e\u6240\u6709\u5b9e\u6570\u3002\u6700\u540e\uff0c\u5982\u679c\u6700\u540e\u6211\u4eec\u83b7\u5f97 X \u548c\u4e00\u4e2a\u6570\u503c\u76f8\u7b49\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\u6211\u4eec\u5c06\u5f97\u5230\u4e00\u4e2a\u552f\u4e00\u7684\u7ed3\u679c\u3002<\/p>\n<h2 class=\"wp-block-heading\" id=\"procedimiento-de-resolucion-de-una-ecuacion-lineal\"><span id=\"Procedimiento_de_resolucion_de_una_ecuacion_lineal\">\u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7684\u8fc7\u7a0b<\/span><\/h2>\n<p>\u6c42\u89e3\u65b9\u7a0b\u76f8\u5f53\u4e8e\u8ba1\u7b97\u53d8\u91cf\u7684\u503c\uff0c\u7528\u5b57\u6bcd (x, y, a, b\u2026) \u8868\u793a\u3002\u56e0\u6b64\uff0c\u8981\u627e\u5230\u8fd9\u4e2a\u503c\uff0c\u6211\u4eec\u9700\u8981\u6267\u884c\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/p>\n<ul>\n<li><strong>\u6c42\u89e3\u62ec\u53f7\u548c\u5206\u6570\uff1a<\/strong>\u9996\u5148\uff0c\u6211\u4eec\u5220\u9664\u6240\u6709\u62ec\u53f7\u548c\u5206\u6bcd\uff0c\u4ee5\u83b7\u5f97\u66f4\u5bb9\u6613\u7406\u89e3\u7684\u65b9\u7a0b\u3002\u56e0\u4e3a\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4e86\u89e3\u54ea\u4e9b\u672f\u8bed\u4f34\u968f\u7740\u672a\u77e5\u6570\uff0c\u54ea\u4e9b\u4e0d\u4f34\u968f\u7740\u672a\u77e5\u6570\uff0c\u6240\u4ee5\u8fd9\u79cd\u9605\u8bfb\u4f7f\u6211\u4eec\u80fd\u591f\u8f7b\u677e\u5730\u7ee7\u7eed\u89e3\u6790\u8868\u8fbe\u5f0f\u3002<\/li>\n<li><strong>\u8ba9\u6211\u4eec\u7b80\u5316\u8868\u8fbe\u5f0f\uff1a<\/strong>\u6211\u4eec\u5c06\u76f8\u4f3c\u7684\u9879\u5206\u7ec4\uff08\u4e00\u65b9\u9762\u662f\u72ec\u7acb\u7684\u9879\uff0c\u53e6\u4e00\u65b9\u9762\u662f\u5e26\u6709 x \u7684\u9879\uff09\u3002\u56e0\u6b64\uff0c\u5728\u4e00\u4fa7\uff0c\u6211\u4eec\u5c06\u7559\u4e0b\u672a\u77e5\u6570\u7684\u6570\u5b57\uff0c\u5e76\u5c06\u5176\u4ed6\u6570\u5b57\u4f20\u9012\u5230\u53e6\u4e00\u4fa7\u3002\u4f46\u8bf7\u8bb0\u4f4f\uff0c\u8981\u6539\u53d8\u4ed6\u4eec\u7684\u7acb\u573a\uff0c\u6211\u4eec\u5fc5\u987b\u6539\u53d8\u4ed6\u4eec\u7684\u6807\u5fd7\u3002<\/li>\n<li><strong>\u6bcf\u8fb9\u8fd0\u7b97\uff1a<\/strong>\u6211\u4eec\u6309\u4ee5\u4e0b\u987a\u5e8f\u6267\u884c\u6240\u6709\u8fd0\u7b97\uff1a\u5e42\/\u6839\u3001\u4e58\u6cd5\/\u9664\u6cd5\u548c\u52a0\u6cd5\/\u51cf\u6cd5\u3002\u6211\u4eec\u8fd9\u6837\u505a\uff0c\u76f4\u5230\u6bcf\u8fb9\u90fd\u6709\u4e00\u4e2a\u9879\uff0c\u56e0\u6b64\u6211\u4eec\u6700\u7ec8\u5f97\u5230\u4e00\u4e2a\u4e0e\u6b64\u7ed3\u6784\u76f8\u540c\u7684\u65b9\u7a0b\uff1a4x = 8\u3002<\/li>\n<li><strong>\u9694\u79bb\u53d8\u91cf\uff1a<\/strong>\u6700\u540e\uff0c\u53ea\u9700\u901a\u8fc7\u5728\u53e6\u4e00\u4fa7\u9664\u6cd5\u6765\u4f20\u9012\u5b57\u6bcd\u9644\u5e26\u7684\u503c\uff0c\u5373\u53ef\u627e\u5230\u5176\u6700\u7ec8\u503c\u3002\u5728\u6b64\u6b65\u9aa4\u7ed3\u675f\u65f6\uff0c\u6211\u4eec\u5c06\u89e3\u51b3\u672a\u77e5\u95ee\u9898\uff0c\u5e76\u4e14\u6211\u4eec\u5c06\u77e5\u9053\u5269\u4e0b\u4ec0\u4e48\u7c7b\u578b\u7684\u7ed3\u679c\uff1a\u552f\u4e00\u7684\u89e3\u51b3\u65b9\u6848\u3001\u65e0\u6548\u7684\u89e3\u51b3\u65b9\u6848\u6216\u6ee1\u8db3\u6240\u6709\u6574\u6570\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" id=\"ejemplos-de-ecuaciones-de-primer-grado\"><span id=\"Ejemplos_de_ecuaciones_de_primer_grado\">\u4e00\u6b21\u65b9\u7a0b\u7684\u4f8b\u5b50<\/span><\/h2>\n<p>\u4e0b\u9762\u60a8\u5c06\u627e\u5230<strong>\u5df2\u89e3\u7684\u4e00\u6b21\u65b9\u7a0b<\/strong>\uff0c\u5b83\u4eec\u6839\u636e\u5176\u7ed3\u6784\u7684\u590d\u6742\u6027\u5206\u4e3a\u4e0d\u540c\u7684\u7c7b\u522b\u3002\u56e0\u6b64\uff0c\u4e86\u89e3\u4e86\u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7684\u7406\u8bba\u8fc7\u7a0b\u548c\u5b58\u5728\u7684\u4e0d\u540c\u7c7b\u578b\uff0c\u60a8\u5c31\u5df2\u7ecf\u5177\u5907\u4e86\u80fd\u591f\u8f7b\u677e\u6c42\u89e3\u5b83\u4eec\u7684\u5fc5\u8981\u77e5\u8bc6\uff0c\u6211\u4eec\u5c06\u4ece\u5b9e\u8df5\u5f00\u59cb\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u8ba9\u6211\u4eec\u4ece\u7406\u8bba\u89e3\u91ca\u5f00\u59cb\uff1a<\/p>\n<h3 class=\"wp-block-heading\" id=\"ecuaciones-de-primer-grado-basicas\">\u57fa\u672c\u4e00\u6b21\u65b9\u7a0b<\/h3>\n<p>\u7b2c\u4e00\u79cd\u7c7b\u578b\u7684\u7ebf\u6027\u65b9\u7a0b\u4ec5\u5305\u542b\u57fa\u672c\u7b97\u672f\u8fd0\u7b97\uff08\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u6cd5\u548c\u9664\u6cd5\uff09\u3002\u8fd9\u91cc\u6709\u4e24\u4e2a\u4f8b\u5b50\uff0c\u7b2c\u4e00\u4e2a\u662f\u66f4\u57fa\u672c\u7684\uff0c\u7b2c\u4e8c\u4e2a\u662f\u5728\u8ba1\u7b97\u65b9\u9762\u66f4\u590d\u6742\u7684\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-51\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> -6x + 4 \u2013 1 = 6x -3<\/p>\n<p class=\"has-text-align-center\"> -6x + 3 = 6x \u2013 3<\/p>\n<p class=\"has-text-align-center\"> -6x \u2013 6x = -3 \u2013 3<\/p>\n<p class=\"has-text-align-center\"> -12x = -6 <\/p>\n<p class=\"has-text-align-center\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> x = 1<\/mark><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> \/ 2<\/mark><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> -24x \u2013 3 + 4x = -4x \u2013 27<\/p>\n<p class=\"has-text-align-center\"> -20x \u2013 3 = -4x \u2013 27<\/p>\n<p class=\"has-text-align-center\"> -20x + 4x = -27 + 3<\/p>\n<p class=\"has-text-align-center\"> -16x = -24 <\/p>\n<p class=\"has-text-align-center\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> x = 3 \/ 2<\/mark><\/p>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" id=\"ecuaciones-de-primer-grado-con-parentesis\">\u5e26\u62ec\u53f7\u7684\u4e00\u6b21\u65b9\u7a0b<\/h3>\n<p>\u5176\u6b21\uff0c\u6211\u4eec\u5728\u62ec\u53f7\u4e2d\u5217\u51fa\u7ebf\u6027\u65b9\u7a0b\u3002\u8fd9\u4e9b\u95ee\u9898\u6bd4\u524d\u9762\u7684\u95ee\u9898\u89e3\u51b3\u8d77\u6765\u7a0d\u5fae\u590d\u6742\u4e00\u4e9b\uff0c\u5c3d\u7ba1\u5b83\u4eec\u552f\u4e00\u7684\u56f0\u96be\u5728\u4e8e\u8ba1\u7b97\uff0c\u56e0\u4e3a\u5fc5\u987b\u5c0a\u91cd\u62ec\u53f7\u7684\u5c5e\u6027\u3002\u4e3a\u4e86\u66f4\u6e05\u695a\u5730\u8bf4\u660e\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u5411\u60a8\u5c55\u793a\u4e24\u4e2a\u6709\u6548\u7684\u793a\u4f8b\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-54\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> 2(x + 3) \u2013 4x = -4<\/p>\n<p class=\"has-text-align-center\"> 2x + 6 \u2013 4x = -4<\/p>\n<p class=\"has-text-align-center\"> -2x = -10 <\/p>\n<p class=\"has-text-align-center\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> x = 5<\/mark><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> -2 + 3 (4x + 5) = -1 (x + 2) + 2 (-3x + 2)<\/p>\n<p class=\"has-text-align-center\"> -2 + 12x + 15 = -x \u2013 2 \u2013 6x + 4<\/p>\n<p class=\"has-text-align-center\"> 13 + 12x = -7x + 2<\/p>\n<p class=\"has-text-align-center\"> 12x + 7x = -13 + 2<\/p>\n<p class=\"has-text-align-center\"> 19x = -11 <\/p>\n<p class=\"has-text-align-center\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> x = -11 \/ 19 <\/mark><\/p>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" id=\"ecuaciones-de-primer-grado-con-potencias-y-raices\">\u5177\u6709\u5e42\u548c\u6839\u7684\u4e00\u6b21\u65b9\u7a0b<\/h3>\n<p>\u7b2c\u4e09\u5c42\u5c31\u5f88\u7b80\u5355\u4e86\uff0c\u53ea\u662f\u589e\u52a0\u4e86\u529b\u91cf\u548c\u6839\u6e90\u3002\u4f7f\u7528\u8fd9\u4e9b\u65b9\u7a0b\u65f6\u60a8\u53ef\u80fd\u9047\u5230\u7684\u552f\u4e00\u56f0\u96be\u662f\u5f53\u6307\u6570\u6216\u6839\u5f71\u54cd\u6574\u6570\u62ec\u53f7\u65f6\uff08\u5c31\u50cf\u6211\u4eec\u5c06\u5411\u60a8\u5c55\u793a\u7684\u7b2c\u4e8c\u4e2a\u793a\u4f8b\uff09\uff0c\u4f46\u5176\u4ed6\u6240\u6709\u5185\u5bb9\u51e0\u4e4e\u4fdd\u6301\u4e0d\u53d8\u3002\u4e0b\u9762\u662f\u4e24\u4e2a\u4f8b\u5b50\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-57\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> 3\u00b2 + \u221a25 \u2013 2x = 2\u00b3x + 4<\/p>\n<p class=\"has-text-align-center\"> 9 + 5 \u2013 2x = 8x + 4<\/p>\n<p class=\"has-text-align-center\"> 14 \u2013 2x = 8x + 4<\/p>\n<p class=\"has-text-align-center\"> -2x \u2013 8x = -14 + 4<\/p>\n<p class=\"has-text-align-center\"> -10x = -10 <\/p>\n<p class=\"has-text-align-center\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> x = 1<\/mark><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> 4x + (2 \u2013 1 +5)\u00b2 = 3x \u2013 \u221a16<\/p>\n<p class=\"has-text-align-center\"> 4x + 6\u00b2 = 3x \u2013 4<\/p>\n<p class=\"has-text-align-center\"> 4x \u2013 3x = -4 -36 <\/p>\n<p class=\"has-text-align-center\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> x = -40<\/mark><\/p>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" id=\"ecuaciones-de-primer-grado-con-fracciones\">\u5e26\u5206\u6570\u7684\u4e00\u6b21\u65b9\u7a0b<\/h3>\n<p>\u6211\u4eec\u53ef\u4ee5\u627e\u5230\u7684\u6700\u540e\u4e00\u7c7b\u7ebf\u6027\u65b9\u7a0b\u662f\u8fd9\u4e2a\u65b9\u7a0b\uff0c\u5b83\u7531\u6211\u4eec\u4e4b\u524d\u8bc4\u8bba\u8fc7\u7684\u6240\u6709\u5143\u7d20\u4ee5\u53ca\u5206\u6570\u7ec4\u6210\u3002\u8fd9\u4e00\u7ea7\u662f\u6700\u590d\u6742\u7684\uff0c\u6709\u591a\u79cd\u65b9\u6cd5\u53ef\u4ee5\u89e3\u51b3\u3002\u7b2c\u4e00\u4e2a\u4e5f\u662f\u6700\u7b80\u5355\u7684\u65b9\u6cd5\u662f\u5c06\u5206\u6bcd\u4e58\u4ee5\u7b49\u5f0f\u7684\u53e6\u4e00\u8fb9\uff0c\u5c3d\u7ba1\u6211\u4eec\u53ea\u80fd\u5728\u6709\u4e24\u4e2a\u5206\u6570\u65f6\u4f7f\u7528\u5b83\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u65b9\u7a0b\u4e2d\u6709\u4e24\u4e2a\u4ee5\u4e0a\u7684\u5206\u6570\uff0c\u6211\u4eec\u5fc5\u987b\u627e\u5230\u4e00\u4e2a\u516c\u5206\u6bcd\uff0c\u5e76\u5c06\u6240\u6709\u5206\u6570\u76f8\u4e58\uff0c\u5c06\u8be5\u503c\u9664\u4ee5\u540c\u4e00\u5206\u6570\u7684\u5206\u6bcd\u3002\u4e0b\u9762\u662f\u6bcf\u79cd\u7c7b\u578b\u7684\u793a\u4f8b\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-60\">\n<div class=\"wp-block-column is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"219\" height=\"308\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dequation-du-premier-degre-avec-des-fractions.webp\" data-src=\"\" alt=\"\u5e26\u5206\u6570\u7684\u4e00\u6b21\u65b9\u7a0b\u793a\u4f8b\" class=\"wp-image-6456 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"334\" height=\"396\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-lineaire-avec-des-fractions.webp\" data-src=\"\" alt=\"\u5e26\u5206\u6570\u7684\u7ebf\u6027\u65b9\u7a0b\" class=\"wp-image-6449 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\" id=\"ejercicios-de-ecuaciones-de-primer-grado\"><span id=\"Ejercicios_de_ecuaciones_de_primer_grado\">\u4e00\u6b21\u65b9\u7a0b\u7ec3\u4e60<\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u63d0\u4f9b\u4e00\u4e9b\u7ebf\u6027\u65b9\u7a0b\u7ec3\u4e60\u3002\u5b83\u4eec\u6309\u7167\u96be\u5ea6\u7684\u589e\u52a0\u8fdb\u884c\u7ec4\u7ec7\uff0c\u7b2c\u4e00\u4e2a\u65b9\u7a0b\u6bd4\u6700\u540e\u4e00\u4e2a\u65b9\u7a0b\u66f4\u5bb9\u6613\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u4ece\u5934\u5f00\u59cb\uff0c\u770b\u770b\u60a8\u80fd\u8d70\u591a\u8fdc\u3002\u56e0\u6b64\uff0c\u8bf7\u5c1d\u8bd5\u6c42\u89e3\u4ee5\u4e0b\u65b9\u7a0b\uff0c\u7136\u540e\u5c06\u60a8\u7684\u7ed3\u679c\u4e0e\u6211\u4eec\u63d0\u4f9b\u7684\u89e3\u51b3\u65b9\u6848\u8fdb\u884c\u6bd4\u8f83\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"primer-ejercicio\">\u7b2c\u4e00\u4e2a\u7ec3\u4e60<\/h3>\n<p>\u7b2c\u4e00\u4e2a\u7ec3\u4e60\u662f\u4e00\u4e2a\u975e\u5e38\u7b80\u5355\u7684\u7ebf\u6027\u65b9\u7a0b\uff0c\u56e0\u4e3a\u5b83\u53ea\u5305\u542b\u52a0\u6cd5\u548c\u51cf\u6cd5\uff0c\u5e76\u4e14\u7b49\u5f0f\u4e24\u8fb9\u4e4b\u95f4\u4e5f\u53ea\u6709\u56db\u9879\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-63\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> 2x \u2013 3 = 4x + 5<\/p>\n<p class=\"has-text-align-center\"> 2x \u2013 4x = 5 + 3<\/p>\n<p class=\"has-text-align-center\"> -2x = 8<\/p>\n<p class=\"has-text-align-center\"> x = 8 \/ (-2) <\/p>\n<p class=\"has-text-align-center\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> x = -4<\/mark><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u5c06\u76f8\u4f3c\u7684\u672f\u8bed\u7ec4\u5408\u5728\u4e00\u8d77\u3002<\/li>\n<li>\u6211\u4eec\u7b80\u5316\u53cc\u65b9\u3002<\/li>\n<li>\u6211\u4eec\u5220\u9664\u672a\u77e5\u6570\u5e76\u8ba1\u7b97\u5b83\u7684\u503c\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" id=\"segundo-ejercicio\">\u7b2c\u4e8c\u4e2a\u7ec3\u4e60<\/h3>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u53d1\u73b0\u81ea\u5df1\u6709\u4e00\u4e2a\u7531\u62ec\u53f7\u7ec4\u6210\u7684\u65b9\u7a0b\uff0c\u6211\u4eec\u7684\u9996\u8981\u4efb\u52a1\u662f\u6d88\u9664\u5b83\u4eec\uff0c\u4ee5\u4fbf\u6211\u4eec\u53ef\u4ee5\u5c06\u76f8\u4f3c\u7684\u9879\u5206\u7ec4\u5728\u4e00\u8d77\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-66\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> -4(x + 2) + 5x = 6 + 5x<\/p>\n<p class=\"has-text-align-center\"> -4x \u2013 8 + 5x = 6 + 5x<\/p>\n<p class=\"has-text-align-center\"> -4x + 5x \u2013 5x = 6 + 8<\/p>\n<p class=\"has-text-align-center\"> -4x = 14 <\/p>\n<p class=\"has-text-align-center\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> x = 14 \/ (-4) = -7 \/ 2<\/mark><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u89e3\u51b3\u62ec\u53f7\u3002<\/li>\n<li>\u6211\u4eec\u5c06 x \u79fb\u81f3\u5de6\u4fa7\uff0c\u5c06\u72ec\u7acb\u9879\u79fb\u81f3\u53f3\u4fa7\u3002<\/li>\n<li>\u6211\u4eec\u6f84\u6e05\u672a\u77e5\u7684\u4e8b\u60c5\u3002<br \/>\u6211\u4eec\u7b80\u5316\u7ed3\u679c\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" id=\"tercer-ejercicio\">\u7b2c\u4e09\u4e2a\u7ec3\u4e60<\/h3>\n<p>\u63a5\u4e0b\u6765\uff0c\u60a8\u9700\u8981\u6c42\u89e3\u53e6\u4e00\u4e2a\u5e26\u62ec\u53f7\u7684\u4e8c\u6b21\u65b9\u7a0b\uff0c\u5c3d\u7ba1\u8fd9\u4e2a\u65b9\u7a0b\u6709\u70b9\u56f0\u96be\u3002\u8fd9\u662f\u56e0\u4e3a\u5b83\u6709\u5d4c\u5957\u62ec\u53f7\uff08\u62ec\u53f7\u5185\u6709\u5176\u4ed6\u62ec\u53f7\uff09\u3002\u56e0\u6b64\uff0c\u5fc5\u987b\u6b63\u786e\u9075\u5faa\u89e3\u51b3\u7684\u987a\u5e8f\uff1a\u5148\u5185\u90e8\u4eba\uff0c\u540e\u5916\u90e8\u4eba\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-69\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> 3x + 2 (x \u2013 (4x \u2013 5)) = 1 \u2013 (3 (2x + 7) \u2013 2)<\/p>\n<p class=\"has-text-align-center\"> 3x + 2 (x \u2013 4x + 5) = 1 \u2013 (6x + 21 \u2013 2)<\/p>\n<p class=\"has-text-align-center\"> 3x + 2x \u2013 8x + 10 = 1 \u2013 6x \u2013 21 + 2<\/p>\n<p class=\"has-text-align-center\"> -3x + 10 = -6x \u2013 18<\/p>\n<p class=\"has-text-align-center\"> 3x = -28 <\/p>\n<p class=\"has-text-align-center\"><mark style=\"background-color:rgba(0, 0, 0, 0);color:#ff0004\" class=\"has-inline-color\"> x = -28 \/ 3<\/mark><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u9996\u5148\u89e3\u51b3\u5185\u62ec\u53f7\u3002<\/li>\n<li>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u89e3\u6790\u5916\u62ec\u53f7\u3002<\/li>\n<li>\u6211\u4eec\u7b80\u5316\u7b49\u5f0f\u4e24\u8fb9\u5e76\u6536\u96c6\u76f8\u4f3c\u7684\u672f\u8bed\u3002<\/li>\n<li>\u6211\u4eec\u5206\u79bb x \u5e76\u8ba1\u7b97\u5b83\u7684\u503c\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" id=\"cuarto-ejercicio\">\u7b2c\u56db\u4e2a\u7ec3\u4e60<\/h3>\n<p>\u5728\u672c\u7ec3\u4e60\u4e2d\uff0c\u6211\u4eec\u5f00\u59cb\u770b\u5230\u5206\u6570\uff0c\u5b83\u53ef\u80fd\u662f\u7ebf\u6027\u65b9\u7a0b\u4e2d\u6700\u590d\u6742\u7684\u5143\u7d20\u3002\u4e0d\u8fc7\u4e0d\u7528\u62c5\u5fc3\uff0c\u56e0\u4e3a\u5982\u679c\u60a8\u9605\u8bfb\u4e86\u7406\u8bba\uff0c\u60a8\u5c31\u4f1a\u5b8c\u5168\u77e5\u9053\u5982\u4f55\u505a\u5230\u8fd9\u4e00\u70b9\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-71\">\n<div class=\"wp-block-column is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"368\" height=\"417\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equation-difficile-du-premier-degre.webp\" data-src=\"\" alt=\"\u96be\u5ea6\u4e00\u6b21\u65b9\u7a0b\" class=\"wp-image-6457 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" id=\"quinto-ejercicio\">\u7b2c\u4e94\u7ec3\u4e60<\/h3>\n<p>\u5728\u7b2c\u4e94\u4e2a\u7ec3\u4e60\u4e2d\uff0c\u6211\u4eec\u770b\u5230\u62ec\u53f7\u4e2d\u7684\u5206\u6570\uff0c\u8fd9\u610f\u5473\u7740\u6c42\u89e3\u5c42\u6b21\u7ed3\u6784\u53d8\u5f97\u6709\u70b9\u590d\u6742\u3002\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0c\u8fd9\u4e2a\u4f8b\u5b50\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u6cd5\u6765\u6c42\u89e3\uff1a\u4f7f\u7528\u6700\u5c0f\u516c\u500d\u6570\u6cd5\u6216\u76f4\u63a5\u7528\u5206\u6570\u8fd0\u7b97\u3002\u4e0b\u9762\u4f60\u53ef\u4ee5\u770b\u5230\u4e24\u4e2a\u5b8c\u6574\u7684\u8fc7\u7a0b\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"352\" height=\"431\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-sur-les-equations-avec-fractions-et-parentheses.webp\" data-src=\"\" alt=\"\u5e26\u5206\u6570\u548c\u62ec\u53f7\u7684\u65b9\u7a0b\u7ec3\u4e60\" class=\"wp-image-7475 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"217\" height=\"352\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equations-avec-fractions-et-parentheses.webp\" data-src=\"\" alt=\"\u5e26\u5206\u6570\u548c\u62ec\u53f7\u7684\u65b9\u7a0b\" class=\"wp-image-7474 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\" id=\"sexto-ejercicio\">\u7b2c\u516d\u4e2a\u7ec3\u4e60<\/h3>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u8fdb\u4e00\u6b65\u8ba8\u8bba\u5206\u6570\u548c\u62ec\u53f7\u7684\u4e3b\u9898\uff0c\u56e0\u4e3a\u6211\u4eec\u6709\u5d4c\u5957\u7684\u62ec\u53f7\u3002\u4e0e\u4e0a\u4e00\u4e2a\u7ec3\u4e60\u76f8\u6bd4\uff0c\u8fd9\u4e2a\u7ec3\u4e60\u5e76\u6ca1\u6709\u5e26\u6765\u66f4\u591a\u7684\u590d\u6742\u6027\uff0c\u53ea\u662f\u5728\u8ba1\u7b97\u65b9\u9762\u7a0d\u5fae\u56f0\u96be\u4e00\u4e9b\uff0c\u4ec5\u6b64\u800c\u5df2\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-74\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"416\" height=\"491\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-dequations-lineaires.webp\" data-src=\"\" alt=\"\u7ebf\u6027\u65b9\u7a0b\u7684\u4f8b\u5b50\" class=\"wp-image-6462 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u5c06\u6240\u6709\u9879\u4e58\u4ee5\u5206\u6bcd\u7684 lcmp\u3002<\/li>\n<li>\u6211\u4eec\u901a\u8fc7\u5220\u9664\u62ec\u53f7\u6765\u7b80\u5316\u8868\u8fbe\u5f0f\uff1a\u9996\u5148\u662f\u91cc\u9762\u7684\u62ec\u53f7\uff0c\u7136\u540e\u662f\u5916\u9762\u7684\u62ec\u53f7\u3002<\/li>\n<li>\u6211\u4eec\u5c06\u6bcf\u4e00\u4fa7\u76f8\u4f3c\u7684\u672f\u8bed\u5206\u7ec4\u3002<\/li>\n<li>\u6211\u4eec\u89e3\u51b3\u53cc\u65b9\u7684\u64cd\u4f5c\u3002<\/li>\n<li>\u6211\u4eec\u8ba1\u7b97\u672a\u77e5\u6570\u7684\u503c\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h3 class=\"wp-block-heading\" id=\"septimo-ejercicio\">\u7b2c\u4e03\u4e2a\u7ec3\u4e60<\/h3>\n<p>\u4e0b\u9762\u7684\u7ec3\u4e60\u53ef\u80fd\u770b\u8d77\u6765\u5f88\u7b80\u5355\uff0c\u4f46\u6211\u4eec\u5efa\u8bae\u60a8\u65e0\u8bba\u5982\u4f55\u90fd\u5c1d\u8bd5\u89e3\u51b3\u5b83\uff0c\u56e0\u4e3a\u5b83\u80af\u5b9a\u4f1a\u7ed9\u60a8\u5e26\u6765\u4e00\u4e9b\u4e0d\u5bfb\u5e38\u7684\u7ed3\u679c\u3002\u5c1d\u8bd5\u5b8c\u540e\u770b\u7ec3\u4e60\u4e0b\u9762\u7684\u89e3\u51b3\u65b9\u6848\u548c\u89e3\u91ca\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-77\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"277\" height=\"360\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-dequations.webp\" data-src=\"\" alt=\"\u65b9\u7a0b\u793a\u4f8b\" class=\"wp-image-6465 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u5c06\u6240\u6709\u5206\u6570\u4e0e\u5206\u6bcd\u7684 lcm \u76f8\u4e58\u3002<\/li>\n<li>\u6211\u4eec\u7b80\u5316\u5f97\u5230\u7684\u8868\u8fbe\u5f0f\u3002<\/li>\n<li>\u6700\u540e\u6211\u4eec\u770b\u5230\u5b83\u7ed9\u4e86\u6211\u4eec\u4e00\u4e2a\u9519\u8bef\u7684\u5e73\u7b49\uff0c\u56e0\u4e3a\u6211\u4eec\u5df2\u7ecf\u6d88\u9664\u4e86\u672a\u77e5\u6570\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p>\u60a8\u53ef\u80fd\u5df2\u7ecf\u6ce8\u610f\u5230\uff0c\u8fd9\u662f\u9519\u8bef\u7684\u7b49\u5f0f\u6216\u6ca1\u6709\u7ed3\u679c\u7684\u7b49\u5f0f\uff0c\u56e0\u4e3a\u6ca1\u6709\u503c\u53ef\u4ee5\u6b63\u786e\u5b8c\u6210\u65b9\u7a0b\u3002\u8fd9\u662f\u6211\u4eec\u5728\u5f15\u8a00\u4e2d\u63d0\u5230\u7684\u6848\u4f8b\u4e4b\u4e00\u3002<\/p>\n<h3 class=\"wp-block-heading\" id=\"octavo-ejercicio\">\u7b2c\u516b\u4e2a\u7ec3\u4e60<\/h3>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u4e3a\u60a8\u63d0\u4f9b\u8fd9\u4e2a\u76f8\u5f53\u590d\u6742\u7684\u7ec3\u4e60\uff0c\u56e0\u4e3a\u5b83\u5177\u6709\u6211\u4eec\u5728\u672c\u6587\u4e2d\u770b\u5230\u7684\u6240\u6709\u590d\u6742\u6027\uff0c\u5c3d\u7ba1\u5b83\u4e5f\u6709\u4e00\u4e2a\u5c0f\u6280\u5de7\u3002\u8bc4\u8bba\u8bf4\uff0c\u5982\u679c\u4f60\u80fd\u591f\u89e3\u51fa\u8fd9\u4e2a\u4e00\u7ea7\u65b9\u7a0b\uff0c\u90a3\u4e48\u4f60\u5c31\u5df2\u7ecf\u5b8c\u5168\u7406\u89e3\u4e86\u6574\u4e2a\u7406\u8bba\u3002\u5982\u679c\u6ca1\u6709\uff0c\u8bf7\u4e0d\u8981\u62c5\u5fc3\uff0c\u56e0\u4e3a\u8fd9\u4e2a\u7ec3\u4e60\u975e\u5e38\u590d\u6742\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-80\">\n<div class=\"wp-block-column is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"349\" height=\"465\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-sur-les-equations-du-premier-degre.webp\" data-src=\"\" alt=\"\u4e00\u6b21\u65b9\u7a0b\u7ec3\u4e60\" class=\"wp-image-6466 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ol>\n<li>\u6211\u4eec\u9996\u5148\u6d88\u9664\u7b49\u5f0f\u53f3\u4fa7\u7684\u56db\u4e2a\u3002<\/li>\n<li>\u7136\u540e\u6211\u4eec\u5c06\u53f3\u4fa7\u7684 x \u8fde\u63a5\u8d77\u6765\u3002<\/li>\n<li>\u6211\u4eec\u5c06\u6240\u6709\u9879\u4e58\u4ee5\u4e09\uff0c\u4ee5\u6d88\u9664\u5206\u6bcd\u3002<\/li>\n<li>\u6211\u4eec\u5220\u9664\u62ec\u53f7\u3002<\/li>\n<li>\u6211\u4eec\u5c06\u7c7b\u4f3c\u7684\u672f\u8bed\u653e\u5728\u4e00\u8d77\u3002<\/li>\n<li>\u6211\u4eec\u8ba1\u7b97\u672a\u77e5\u6570\u7684\u503c\u3002<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\" id=\"mas-ejercicios-de-ecuaciones-lineales\"><span id=\"Mas_ejercicios_de_ecuaciones_lineales\">\u66f4\u591a\u7ebf\u6027\u65b9\u7a0b\u7ec3\u4e60<\/span><\/h2>\n<p>\u73b0\u5728\u60a8\u5df2\u7ecf\u6709\u4e86\u8db3\u591f\u7684\u7ec3\u4e60\uff0c\u60a8\u5e94\u8be5\u80fd\u591f<strong>\u6c42\u89e3\u590d\u6742\u7684\u7ebf\u6027\u65b9\u7a0b<\/strong>\u3002\u4e0d\u8fc7\uff0c\u5982\u679c\u60a8\u60f3\u7ee7\u7eed\u7ec3\u4e60\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u5c1d\u8bd5\u89e3\u51b3\u6b64<a href=\"https:\/\/www.matematicasonline.es\/segundoeso\/ejercicios\/ecuaciones-1grado2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">\u5de5\u4f5c\u8868<\/a>\u3002\u4f46\u5982\u679c\u60a8\u8ba4\u4e3a\u60a8\u5df2\u7ecf\u4e86\u89e3\u5f97\u8db3\u591f\u591a\uff0c\u6211\u4eec\u8fd8\u53ef\u4ee5\u4e3a\u60a8\u63d0\u4f9b\u4e00\u7bc7\u6587\u7ae0\u6765\u5e2e\u52a9\u60a8\u4e86\u89e3<a href=\"https:\/\/mathority.org\/cn\/\u64cd\u4f5c\u5c42\u6b21\u7ed3\u6784\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u64cd\u4f5c\u7684\u5c42\u6b21\u7ed3\u6784<\/a>\u3002\u8fd9\u6837\u60a8\u5c31\u53ef\u4ee5\u59cb\u7ec8\u77e5\u9053\u9996\u5148\u8981\u89e3\u51b3\u54ea\u4e2a\u8ba1\u7b97\uff0c\u5e76\u4e14<strong>\u6c38\u8fdc\u4e0d\u4f1a\u51fa\u9519<\/strong>\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u6b21\u65b9\u7a0b\u6216\u7ebf\u6027\u65b9\u7a0b\u662f\u4ee3\u6570\u7684\u57fa\u7840\uff0c\u56e0\u4e3a\u5982\u679c\u4f60\u4e0d\u7406\u89e3\u5b83\u4eec\uff0c\u4f60\u5c06\u5f88\u96be\u7406\u89e3\u66f4\u590d\u6742\u7684\u65b9\u7a0b\u3002\u56e0\u6b64\uff0c\u6b64\u7c7b\u65b9\u7a0b\u7684\u7279\u6b8a\u6027\u5728\u4e8e\u5355\u9879 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%b8%80%e6%ac%a1%e6%96%b9%e7%a8%8b\/\"> <span class=\"screen-reader-text\">\u5982\u4f55\u89e3\u4e00\u6b21\u65b9\u7a0b\uff1f<\/span> \u67e5\u770b\u5168\u6587 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