{"id":153,"date":"2023-07-16T02:01:29","date_gmt":"2023-07-16T02:01:29","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%bb%80%e4%b9%88%e6%98%af%e9%9b%86%e5%90%88%e8%ae%ba\/"},"modified":"2023-07-16T02:01:29","modified_gmt":"2023-07-16T02:01:29","slug":"%e4%bb%80%e4%b9%88%e6%98%af%e9%9b%86%e5%90%88%e8%ae%ba","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%bb%80%e4%b9%88%e6%98%af%e9%9b%86%e5%90%88%e8%ae%ba\/","title":{"rendered":"\u4ec0\u4e48\u662f\u96c6\u5408\u8bba\uff1f"},"content":{"rendered":"<p><strong>\u96c6\u5408\u8bba<\/strong>\u662f<a href=\"https:\/\/mathority.org\/cn\/\u6570\u7406\u903b\u8f91\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6570\u7406\u903b\u8f91<\/a>\u56db\u5927\u8981\u7d20\u4e4b\u4e00\u3002\u8be5\u7406\u8bba\u901a\u8fc7\u7814\u7a76\u5143\u7d20\u7684\u54c1\u8d28\u4ee5\u53ca\u6784\u6210\u6574\u4f53\u7684\u5bf9\u8c61\u4e4b\u95f4\u7684\u8054\u7cfb\u6765\u5206\u6790\u5143\u7d20\u7684\u5206\u7ec4\u3002<\/p>\n<p>\u5f53\u6211\u4eec\u8c08\u8bba\u96c6\u5408\u65f6\uff0c\u5728\u8fd9\u4e2a\u7406\u8bba\u4e2d\u6211\u4eec\u6307\u7684\u662f\u5177\u6709\u76f8\u4f3c\u7279\u5f81\u7684<strong>\u62bd\u8c61\u7ed3\u6784\u7ec4<\/strong>\u3002\u5728\u8fd9\u4e2a\u7406\u8bba\u4e2d\uff0c\u4ea4\u96c6\u3001\u8865\u96c6\u3001\u5dee\u96c6\u548c\u5e76\u96c6\u7b49\u8fd0\u7b97\u662f\u5bf9\u521b\u5efa\u6574\u4f53\u7684\u5bf9\u8c61\u6267\u884c\u7684\u3002<\/p>\n<p>\u66f4\u7b80\u5355\u5730\u8bf4\uff0c\u96c6\u5408\u8bba\u662f\u57fa\u4e8e\u96c6\u5408\u7684\u6570\u5b66\u5206\u652f\u3002\u56e0\u6b64\uff0c\u5b83\u8bc4\u4f30\u6bcf\u4e2a\u5143\u7d20\u7684\u6240\u6709\u5c5e\u6027\u4ee5\u53ca\u5b83\u4eec\u4e4b\u95f4\u53d1\u751f\u7684\u8fde\u63a5\u3002<\/p>\n<p>\u6b63\u5982\u6211\u4eec\u4e4b\u524d\u89e3\u91ca\u7684\u90a3\u6837\uff0c<strong>\u96c6\u5408<\/strong>\u53ea\u4e0d\u8fc7\u662f\u4e00\u7ec4\u5bf9\u8c61\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u4eec\u53ef\u4ee5\u662f\u7b26\u53f7\u3001\u5355\u8bcd\u3001\u6570\u5b57\u3001\u51e0\u4f55\u56fe\u5f62\u3001\u5b57\u6bcd\u7b49\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_tipos_de_conjuntos_existen\">\u6709\u54ea\u4e9b\u7c7b\u578b\u7684\u5957\u88c5\uff1f<\/span><\/h2>\n<p>\u6839\u636e\u96c6\u5408\u4e2d\u5305\u542b\u7684\u5bf9\u8c61\u6570\u91cf\uff0c\u53ef\u4ee5\u4ee5\u4e0d\u540c\u7684\u65b9\u5f0f\u5bf9\u5b83\u4eec\u8fdb\u884c\u5206\u7c7b\u3002\u8fd9\u4e9b\u90fd\u662f\uff1a<\/p>\n<ul>\n<li><strong>\u6709\u9650\u96c6<\/strong>\uff1a\u662f\u6240\u6709\u5177\u6709\u76f8\u540c\u6570\u91cf\u5143\u7d20\u7684\u96c6\u5408\u3002\u4f8b\u5982\uff0c\u4e00\u5468\u4e2d\u7684\u6240\u6709\u5929\u3001\u6240\u6709\u5143\u97f3\u7b49\u7b49\u3002<\/li>\n<li><strong>\u65e0\u9650\u96c6<\/strong>\u2014\u2014\u5305\u542b\u65e0\u9650\u6570\u91cf\u7684\u5bf9\u8c61\u3002\u4f8b\u5982\uff0c\u5b9e\u6570\u3002<\/li>\n<li><strong>\u901a\u7528\u96c6<\/strong>\uff1a\u5c06\u7279\u5b9a\u60c5\u51b5\u4e0b\u8003\u8651\u7684\u6240\u6709\u5bf9\u8c61\u805a\u96c6\u5728\u4e00\u8d77\u3002\u4f8b\u5982\uff0c\u5982\u679c\u8981\u4f7f\u7528\u9ab0\u5b50\u7684\u6570\u5b57\u96c6\uff0c\u5219\u901a\u7528\u96c6\u4e3a U = {1, 2, 3, 4, 5, 6}\u3002<\/li>\n<li><strong>\u7a7a\u96c6<\/strong>\uff1a\u662f\u6307\u6ca1\u6709\u5143\u7d20\u7684\u96c6\u5408\u3002\u4f8b\u5982\uff0c\u4e00\u5e74\u4e2d\u6709 27 \u5929\u7684\u6240\u6709\u6708\u4efd\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span id=\"Cuales_son_los_metodos_para_definir_un_conjunto\">\u5b9a\u4e49\u96c6\u5408\u7684\u65b9\u6cd5\u6709\u54ea\u4e9b\uff1f<\/span><\/h2>\n<p>\u4e3a\u4e86<strong>\u5b9a\u4e49\u4e00\u4e2a\u96c6\u5408<\/strong>\uff0c\u6211\u4eec\u9996\u5148\u5efa\u7acb\u8be5\u7ec4\u5143\u7d20\u7684\u5171\u540c\u65b9\u9762\u3002\u4f8b\u5982\uff0c\u7b2c\u4e00\u7ec4\u5305\u542b\u6b63\u6574\u6570\uff0c\u751a\u81f3\u5c0f\u4e8e 20 \u7684\u6570\u5b57\u3002\u5b83\u770b\u8d77\u6765\u50cf\u8fd9\u6837\uff1a<\/p>\n<p class=\"has-text-align-center\"> A = {2, 4, 6, 8, 10, 12, 14, 16, 18}\u3002<\/p>\n<p>\u4ece\u8fd9\u91cc\u5f00\u59cb\uff0c\u53ef\u4ee5\u4f7f\u7528\u4e24\u79cd\u65b9\u6cd5\u6765\u5b9a\u4e49\u96c6\u5408\u3002\u7b2c\u4e00\u79cd\u65b9\u6cd5\u79f0\u4e3a<strong>\u7f16\u53f7\u6216\u6269\u5c55\u65b9\u6cd5<\/strong>\u3002\u7b2c\u4e8c\u79cd\u79f0\u4e3a<strong>\u63cf\u8ff0<\/strong>\u65b9\u6cd5\u3002\u5728\u7b2c\u4e00\u4e2a\u4e2d\uff0c\u5177\u4f53\u5217\u51fa\u4e86\u96c6\u5408\u7684\u5143\u7d20\uff0c\u800c\u5728\u7b2c\u4e8c\u4e2a\u4e2d\uff0c\u5219\u57fa\u4e8e\u5143\u7d20\u5fc5\u987b\u6ee1\u8db3\u7684\u5c5e\u6027\u3002<\/p>\n<p>\u7b2c\u4e00\u4e2a\u7cfb\u7edf\u5bf9\u4e8e\u63cf\u8ff0\u5305\u542b<strong>\u5f88\u5c11\u5143\u7d20\u7684<\/strong>\u96c6\u5408\u975e\u5e38\u6709\u7528\uff0c\u4ee5\u4e0b\u662f\u4e00\u4e9b\u793a\u4f8b\uff1a<\/p>\n<p class=\"has-text-align-center\">\u63b7\u666e\u901a\u9ab0\u5b50 M= {1, 2, 3, 4, 5, 6}\uff08\u6709\u9650\uff09\u3002<\/p>\n<p class=\"has-text-align-center\">\u5b57\u6bcd\u8868\u4e2d\u7684\u5143\u97f3 G= {a, e, i, o, u}\uff08\u6709\u9650\uff09\u3002<\/p>\n<p>\u800c\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u5bf9\u4e8e\u5b9a\u4e49\u5177\u6709<strong>\u5927\u91cf\u5143\u7d20\u7684<\/strong>\u96c6\u5408\u6216\u65e0\u9650\u96c6\u5408\u66f4\u4e3a\u5b9e\u7528\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5411\u60a8\u5c55\u793a\u4e00\u4e9b\u793a\u4f8b\uff1a<\/p>\n<p class=\"has-text-align-center\">\u6240\u6709\u5c0f\u4e8e 32 \u7684\u81ea\u7136\u6570 S = {x \u2208 \u2115 | x &lt; 32}\uff08\u5b8c\u6210\uff09\u3002<\/p>\n<p class=\"has-text-align-center\">\u6240\u6709\u81ea\u7136\u6570 N = {x \u2208 \u2115}\uff08\u65e0\u7a77\u5927\uff09\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_son_los_conjuntos_numericos\">\u4ec0\u4e48\u662f\u4e00\u7ec4\u6570\u5b57\uff1f<\/span><\/h2>\n<p>\u57fa\u672c\u4e0a\uff0c\u6570\u5b57\u6240\u5c5e\u7684\u5206\u7c7b\u79f0\u4e3a<strong>\u6570\u5b57\u96c6<\/strong>\u3002\u8fd9\u4e0e\u6bcf\u4e2a\u4eba\u7684\u7279\u70b9\u6709\u5173\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4f8b\u5982\u4e00\u4e2a\u6570\u5b57\u662f\u5426\u6709\u5c0f\u6570\u4f4d\u6216\u662f\u5426\u6709\u8d1f\u53f7\u3002<\/p>\n<p>\u6570\u5b57\u96c6\u662f\u6211\u4eec\u6267\u884c\u4e0d\u540c\u6570\u5b66\u8fd0\u7b97\u6240\u9700\u7684\u6bcf\u4e2a\u6570\u5b57\u3002\u8fd9\u65e2\u9002\u7528\u4e8e\u65e5\u5e38\u751f\u6d3b\uff0c\u4e5f\u9002\u7528\u4e8e\u79d1\u5b66\u6216\u5de5\u7a0b\u7b49\u66f4\u590d\u6742\u7684\u573a\u666f\u3002<\/p>\n<p>\u8fd9\u4e9b\u96c6\u5408\u6765\u81ea\u4eba\u7c7b\u601d\u7ef4\u7684\u521b\u9020\u3002\u56e0\u6b64\uff0c\u5b83\u4eec\u662f\u62bd\u8c61\u5730\u6784\u6210\u7684\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6570\u5b57\u8bbe\u5907<strong>\u5b9e\u9645\u4e0a<\/strong>\u5e76\u4e0d\u5b58\u5728\u3002\u7136\u540e\u6570\u5b57\u96c6\u88ab\u5206\u6210\u51e0\u79cd\u7c7b\u578b\u7684\u6570\u5b57\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/mathority.org\/cn\/\u81ea\u7136\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u81ea\u7136\u6570<\/a>\uff1a\u8fd9\u4e9b\u662f\u6211\u4eec\u7528\u6765\u8ba1\u6570\u7684\u6570\u5b57\u3002\u5b83\u4eec\u5ef6\u4f38\u81f3\u65e0\u7a77\u5927\u5e76\u53d6\u5355\u4f4d\u7684\u4e00\u5c0f\u90e8\u5206\u3002\u5f62\u5f0f\u4e0a\uff0c\u81ea\u7136\u6570\u96c6\u5408\u7528\u5b57\u6bcd N \u8868\u793a\uff0c\u5982\u4e0b\u6240\u793a\uff1a \u2115 = {1, 2, 3 \u2026} = \u2115 \\ {0}<\/li>\n<li><a href=\"https:\/\/mathority.org\/cn\/\u6574\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6574\u6570<\/a>\uff1a\u8fd9\u4e9b\u6570\u5b57\u5305\u542b\u81ea\u7136\u6570\u3002\u6b64\u5916\uff0c\u6240\u6709\u5360\u636e\u8c28\u614e\u5206\u6570\u4f46\u524d\u9762\u6709\u8d1f\u53f7\u7684\u6570\u5b57\u3002\u540c\u6837\uff0c\u4e5f\u6dfb\u52a0\u96f6\u3002\u5b83\u4eec\u53ef\u4ee5\u8868\u793a\u5982\u4e0b\uff1a \u2124 = {\u2026, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, \u2026}\u3002\u5728\u8fd9\u4e2a\u96c6\u5408\u4e2d\uff0c\u6bcf\u4e2a\u6570\u5b57\u90fd\u6709\u5176\u7b49\u4ef7\u7b26\u53f7\u76f8\u53cd\u7684\u6570\u5b57\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c8\u7684\u76f8\u53cd\u6570\u662f-8\u3002<\/li>\n<li><a href=\"https:\/\/mathority.org\/cn\/\u6709\u7406\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6709\u7406\u6570<\/a>\uff1a\u6709\u7406\u6570\u6db5\u76d6\u4ee5\u4e24\u4e2a\u6574\u6570\u548c\u6240\u6709\u6574\u6570\u7684\u5546\u8868\u793a\u7684\u6570\u5b57\u3002\u8fd9\u610f\u5473\u7740\u4ed6\u4eec\u53ef\u4ee5\u6beb\u65e0\u95ee\u9898\u5730\u4f7f\u7528<a href=\"https:\/\/mathority.org\/cn\/\u5c0f\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u5341\u8fdb\u5236\u6570<\/a>\u3002\u8be5\u96c6\u5408\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a \u211a = \u2124\/\u2124\u3002<\/li>\n<li><a href=\"https:\/\/mathority.org\/cn\/\u65e0\u7406\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u65e0\u7406\u6570<\/a>\uff1a\u8fd9\u4e9b\u6570\u5b57\u4e0d\u8868\u793a\u4e3a\u4e24\u4e2a\u6574\u6570\u7684\u5546\u3002\u6b64\u5916\uff0c\u5373\u4f7f\u5b83\u4eec\u5ef6\u4f38\u5230\u65e0\u7a77\u5927\uff0c\u5b83\u4eec\u4e5f\u6ca1\u6709\u5728\u8fde\u7eed\u7684\u5468\u671f\u90e8\u5206\u4e2d\u6307\u5b9a\u3002\u6709\u5fc5\u8981\u6f84\u6e05\u65e0\u7406\u6570\u548c\u6709\u7406\u6570\u662f\u4e0d\u540c\u96c6\u5408\u7684\u4e00\u90e8\u5206\u3002\u56e0\u6b64\uff0c\u5b83\u4eec\u6ca1\u6709\u5171\u540c\u7279\u5f81\u3002\u65e0\u7406\u6570\u7684\u4e00\u4e2a\u4f8b\u5b50\u662f\uff1a\u221a123\u3002 11.0905365064\u3002<\/li>\n<li><a href=\"https:\/\/mathority.org\/cn\/\u5b9e\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u5b9e\u6570<\/a>\uff1a\u8fd9\u4e9b\u6570\u5305\u62ec\u6709\u7406\u6570\u548c\u65e0\u7406\u6570\u3002\u8fd9\u610f\u5473\u7740\u8be5\u7ec4\u5305\u62ec\u4ece\u8d1f\u65e0\u7a77\u5927\u5230\u65e0\u7a77\u5927\u7684\u6570\u5b57\u3002<\/li>\n<li><a href=\"https:\/\/mathority.org\/cn\/\u865a\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u865a\u6570<\/a>\uff1a\u8fd9\u4e9b\u6570\u5b57\u662f\u7531\u865a\u6570\u5355\u4f4d\u4e58\u4ee5\u4efb\u4f55\u5b9e\u6570\u5f97\u5230\u7684\u3002\u865a\u6570\u5355\u4f4d\u8f6c\u6362\u4e3a \u2013 1 \u7684\u5e73\u65b9\u6839\u3002\u8fd9\u4e9b\u6570\u5b57\u4e0e\u5b9e\u6570\u65e0\u5173\u3002\u5b83\u4eec\u8868\u8fbe\u5982\u4e0b\uff1ap=r*s\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff1ap\u662f\u865a\u6570\uff0cr\u662f\u5b9e\u6570\uff0cs\u662f\u865a\u6570\u5355\u4f4d\u3002<\/li>\n<li><a href=\"https:\/\/mathority.org\/cn\/\u590d\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u6570<\/a>\u2013 \u590d\u6570\u5177\u6709\u865a\u90e8\u548c\u5b9e\u90e8\u3002\u5176\u7ed3\u6784\u8868\u793a\u4e3a\uff1av+ri\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff1av\u662f\u5b9e\u6570\uff0cr\u662f\u865a\u90e8\uff0ci\u662f\u865a\u6570\u5355\u4f4d<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span id=\"Que_es_la_union_de_conjuntos\">\u4ec0\u4e48\u662f\u96c6\u5408\u7684\u5e76\u96c6\uff1f<\/span><\/h2>\n<p>\u6211\u4eec\u53ef\u4ee5\u8ba4\u4e3a<strong>\u96c6\u5408\u7684\u5e76\u96c6<\/strong>\u53ea\u4e0d\u8fc7\u662f\u5bf9 U \u7684\u6240\u6709\u5185\u90e8\u96c6\u5408\u7684\u96c6\u5408\u8fdb\u884c\u4e8c\u5143\u8fd0\u7b97\u3002\u901a\u8fc7\u4e8c\u5143\u8fd0\u7b97\u6765\u7406\u89e3\uff0c\u5b83\u4f9d\u8d56\u4e8e\u8fd0\u7b97\u7b26\u548c\u4e24\u4e2a\u53c2\u6570\u6765\u5b58\u5728\u4e00\u4e2a\u7279\u5b9a\u7684\u8ba1\u7b97\u3002<\/p>\n<p>\u4ece\u8fd9\u4e2a\u610f\u4e49\u4e0a\u8bf4\uff0c\u6784\u6210 U \u4e00\u90e8\u5206\u7684\u6bcf\u5bf9\u96c6\u5408 A \u548c B \u90fd\u4e0e U \u7684\u53e6\u4e00\u4e2a\u96c6\u5408<strong>(AUB)<\/strong>\u76f8\u5173\u8054\u3002\u56e0\u6b64\uff0c\u5982\u679c A \u548c B \u662f\u4e24\u4e2a\u4e0d\u540c\u7684\u96c6\u5408\uff0c\u5219\u96c6\u5408\u7684\u5e76\u96c6\u8868\u793a\u5982\u4e0b\uff1a A={\u8def\u6613\u65af\uff0c\u5361\u6d1b\u65af}\uff0cB={\u5361\u62c9\uff0c\u8def\u6613\u838e\uff0c\u4fdd\u62c9}\uff1b AUB={\u8def\u6613\u65af\u3001\u5361\u6d1b\u65af\u3001\u5361\u62c9\u3001\u8def\u6613\u838e\u3001\u4fdd\u62c9}\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_es_la_interseccion_de_conjuntos\">\u4ec0\u4e48\u662f\u96c6\u5408\u7684\u4ea4\u96c6\uff1f<\/span><\/h2>\n<p><strong>\u96c6\u5408\u4ea4\u96c6<\/strong>\u662f\u4e00\u79cd\u5c06\u539f\u59cb\u96c6\u5408\u5bfc\u51fa\u4e3a\u5177\u6709\u91cd\u590d\u6216\u9891\u7e41\u5bf9\u8c61\u7684\u96c6\u5408\u7684\u64cd\u4f5c\u3002\u5982\u679c\u53d1\u751f\u7a7a\u96c6\u7684\u4ea4\u96c6\uff0c\u5219\u5c06\u5176\u5b9a\u4e49\u4e3a\u4e0d\u76f8\u4ea4\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u53ef\u8868\u793a\u4e3a\uff1aS \u2229 D = \u00d8\u3002<\/p>\n<p>\u8be5\u8fd0\u7b97\u4e2d\u7684<strong>\u7b26\u53f7\u2229<\/strong>\u5bf9\u5e94\u4e8e\u4ea4\u96c6\u3002\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\uff0c\u8ba9\u6211\u4eec\u770b\u4e0b\u9762\u7684\u4f8b\u5b50\uff1a<\/p>\n<p class=\"has-text-align-center\"> M= {\u7eff\u3001\u9ed1\u3001\u767d\u3001\u7d2b}\u3002<\/p>\n<p class=\"has-text-align-center\"> J = {\u9ed1\u8272\u3001\u7eff\u8272\u3001\u7c89\u8272\u3001\u84dd\u8272}\u3002<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff1aM \u2229 J = {\u7eff\u8272\uff0c\u9ed1\u8272}\uff0c\u56e0\u4e3a\u8fd9\u4e9b\u662f\u5728\u4e24\u4e2a\u521d\u59cb\u96c6\u5408\u4e2d\u91cd\u590d\u7684\u5bf9\u8c61\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_es_la_diferencia_de_conjuntos\">\u603b\u4f53\u5dee\u5f02\u662f\u591a\u5c11\uff1f<\/span><\/h2>\n<p><strong>\u96c6\u5408\u5dee<\/strong>\u662f\u96c6\u5408\u8bba\u7684\u7b2c\u4e09\u4e2a\u8fd0\u7b97\u3002\u5b83\u88ab\u5b9a\u4e49\u4e3a\u53ef\u4ee5\u4ece A \u4e2d\u4e0d\u5305\u542b\u5728 B \u4e2d\u7684\u5bf9\u8c61\u4e2d\u83b7\u53d6\u65b0\u96c6\u5408\u7684\u64cd\u4f5c\u3002\u4f8b\u5982\uff1a<\/p>\n<p class=\"has-text-align-center\"> A = {4, 6, 8, 10, 12, 14}\u3002<\/p>\n<p class=\"has-text-align-center\"> B = {2,4,6,8}\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u96c6\u5408\u5dee\u503c\u662f\u4ece\u5c5e\u4e8e\u96c6\u5408 A \u800c\u4e0d\u662f\u96c6\u5408 B \u7684\u5143\u7d20\u4e2d\u83b7\u5f97\u7684\u3002\u7ed3\u679c\u662f {10, 12, 14}\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_es_el_complemento_de_un_conjunto\">\u4ec0\u4e48\u662f\u96c6\u5408\u7684\u8865\u96c6\uff1f<\/span><\/h2>\n<p><strong>\u96c6\u5408\u7684\u8865\u96c6<\/strong>\u5b9a\u4e49\u4e3a U \u4e2d\u4e0d\u5c5e\u4e8e\u8be5\u96c6\u5408\u7684\u6240\u6709\u5bf9\u8c61\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u662f\u4e00\u4e2a\u5305\u542b\u4e0d\u6784\u6210\u539f\u59cb\u96c6\u5408\u7684\u5143\u7d20\u7684\u96c6\u5408\u3002\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u8fd9\u4e2a\u6982\u5ff5\uff0c\u6709\u5fc5\u8981\u4e86\u89e3\u6240\u4f7f\u7528\u7684\u5bf9\u8c61\uff0c\u6216\u8005\u76f8\u53cd\uff0c\u4e86\u89e3\u901a\u7528\u96c6\u7684\u7c7b\u578b\u3002<\/p>\n<p>\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u6211\u4eec\u8c08\u8bba<a href=\"https:\/\/mathority.org\/cn\" target=\"_blank\" rel=\"noreferrer noopener\">\u7d20\u6570<\/a>\uff0c\u5219\u4e92\u8865\u96c6\u5c31\u662f\u975e\u7d20\u6570\u7684\u4e92\u8865\u96c6\u3002\u540c\u65f6\uff0c\u7d20\u6570\u96c6\u5408\u662f\u975e\u7d20\u6570\u7684\u8865\u96c6\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_es_la_diferencia_simetrica_entre_los_conjuntos\">\u5404\u7ec4\u4e4b\u95f4\u7684\u5bf9\u79f0\u5dee\u662f\u591a\u5c11\uff1f<\/span><\/h2>\n<p>\u96c6\u5408\u7684<strong>\u5bf9\u79f0\u5dee<\/strong>\u662f\u4e00\u4e2a\u96c6\u5408\uff0c\u5176\u5bf9\u8c61\u662f\u521d\u59cb\u96c6\u5408\u7684\u4e00\u90e8\u5206\uff0c\u540c\u65f6\u4e0e\u5176\u4ed6\u4e24\u4e2a\u96c6\u5408\u6ca1\u6709\u4efb\u4f55\u5173\u7cfb\u3002\u5982\u679c\u6211\u4eec\u4ece\u96c6\u5408\u8bba\u4e2d\u4e3e\u4f8b\u8bf4\u660e\u8fd9\u4e2a\u64cd\u4f5c\uff0c\u6211\u4eec\u6709\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/p>\n<p class=\"has-text-align-center\"> {1, 2, 3} \u548c {2, 3, 4, 6, 9, 8} = \u5bf9\u79f0\u5dee\u4e3a {1, 4, 6, 9, 8}\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_es_el_diagrama_de_Venn\">\u4ec0\u4e48\u662f\u7ef4\u6069\u56fe\uff1f<\/span><\/h2>\n<p><strong>\u7ef4\u6069\u56fe<\/strong>\u7684\u4e00\u90e8\u5206\u7684\u56fe\u5f62\u90fd\u662f\u7531\u8fde\u7eed\u7684\u95ed\u5408\u7ebf\u8868\u793a\u7684\u56fe\u5f62\u3002\u5373\u692d\u5706\u5f62\u3001\u4e09\u89d2\u5f62\u3001\u5706\u5f62\u7b49\u3002\u4e00\u822c\u60c5\u51b5\u4e0b\uff0c\u901a\u7528\u96c6\u5408\u88ab\u8868\u793a\u4e3a\u77e9\u5f62\u3002\u5176\u4f59\u7ec4\u7528\u5706\u5f62\u6216\u692d\u5706\u5f62\u8fdb\u884c\u51e0\u4f55\u8868\u8fbe\u3002<\/p>\n<p>\u91cd\u8981\u7684\u662f\u8981\u8bb0\u4f4f\uff0c\u8be5\u56fe\u4e0d\u6d89\u53ca\u4efb\u4f55\u6570\u5b66\u8bc1\u660e\u3002\u7136\u800c\uff0c\u5bf9\u67d0\u4e2a\u96c6\u5408\u4e0e\u53e6\u4e00\u4e2a\u96c6\u5408\u4e4b\u95f4\u7684\u8054\u7cfb\u6709\u4e00\u4e2a\u76f4\u89c9\u662f\u5f88\u6709\u7528\u7684\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Donde_se_aplica_la_teoria_de_conjuntos\">\u96c6\u5408\u8bba\u9002\u7528\u4e8e\u54ea\u91cc\uff1f<\/span><\/h2>\n<p>\u96c6\u5408\u8bba\u7684\u5e94\u7528\u9886\u57df\u5f88\u591a\u3002\u5b83\u4e3b\u8981\u7528\u4e8e\u51e0\u4f55\u903b\u8f91\u57fa\u7684\u5236\u5b9a\u3002\u7136\u800c\uff0c\u5b83\u8fd8\u6709\u5176\u4ed6\u5e94\u7528\uff0c\u4f8b\u5982<strong>\u62d3\u6251<\/strong>\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u8fd9\u4e2a\u7406\u8bba\u4e0e\u79d1\u5b66\u3001\u6570\u5b66\u3001\u7269\u7406\u3001\u751f\u7269\u3001\u5316\u5b66\u751a\u81f3\u5de5\u7a0b\u5b66\u76f8\u5173\u3002<\/p>\n<p>\u4e3a\u4e86\u66f4\u597d\u5730\u7406<strong>\u89e3\u6570\u7406\u903b\u8f91<\/strong>\uff0c\u5fc5\u987b\u5145\u5206\u4e86\u89e3\u8fd9\u4e2a\u5143\u7d20\uff0c\u96c6\u5408\u8bba\u662f\u6700\u91cd\u8981\u7684\u5143\u7d20\u4e4b\u4e00\u3002\u6b64\u5916\uff0c\u6b63\u5982\u6211\u4eec\u4e4b\u524d\u5df2\u7ecf\u89e3\u91ca\u8fc7\u7684\uff0c\u5b83\u4e0d\u4ec5\u5728\u6570\u5b66\u4e2d\u6709\u5e94\u7528\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Como_se_habla_de_la_teoria_de_conjuntos_en_el_lenguaje_comun\">\u6211\u4eec\u5982\u4f55\u7528\u65e5\u5e38\u8bed\u8a00\u8c08\u8bba\u96c6\u5408\u8bba\uff1f<\/span><\/h2>\n<p>\u96c6\u5408\u8bba\u662f\u6570\u5b66\u7684\u57fa\u7840\u90e8\u5206\u3002\u4f46\u8fd9\u4e5f\u6d89\u53ca<strong>\u65e5\u5e38<\/strong>\u800c\u975e\u8fd0\u8425\u7684\u9886\u57df\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u4eec\u5e76\u4e0d\u603b\u662f\u6570\u5b57\u96c6\u3002\u5728\u4f20\u7edf\u8bed\u8a00\u4e2d\uff0c\u5f15\u7528\u96c6\u5408\u6709\u70b9\u590d\u6742\u3002<\/p>\n<p>\u539f\u56e0\u662f\uff0c\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u60f3\u7ec4\u6210\u4e00\u4e2a\u6700\u91cd\u8981\u7684\u753b\u5bb6\u7fa4\u4f53\uff0c\u770b\u6cd5\u5c31\u4f1a\u6709\u6240\u4e0d\u540c\u3002\u56e0\u6b64\uff0c\u8fbe\u6210\u5171\u8bc6<strong>\u51e0\u4e4e\u662f\u4e0d\u53ef\u80fd\u7684<\/strong>\u3002\u603b\u4e4b\uff0c\u6839\u636e\u7d20\u8d28\u6765\u5224\u65ad\u8c01\u5728\u8fd9\u4e2a\u7fa4\u4f53\u4e2d\uff0c\u8c01\u4e0d\u5728\u8fd9\u4e2a\u7fa4\u4f53\u4e2d\uff0c\u5e76\u4e0d\u662f\u90a3\u4e48\u5bb9\u6613\u7684\u4e8b\u60c5\u3002<\/p>\n<p>\u5176\u4e2d\u4e00\u4e9b\u7279\u5b9a\u96c6\u5408\u88ab\u5b9a\u4e49\u4e3a\u7a7a\u96c6\u5408\u6216\u6ca1\u6709\u5143\u7d20\u3002\u6b64\u5916\uff0c\u6211\u4eec\u53ef\u4ee5\u5904\u7406\u5355\u4e2a\u5143\u7d20\u6216\u5355\u5143\u7684\u96c6\u5408\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cual_es_la_historia_de_la_teoria_de_conjuntos\">\u96c6\u5408\u8bba\u7684\u5386\u53f2\u662f\u4ec0\u4e48\uff1f<\/span><\/h2>\n<p>\u96c6\u5408\u8bba\u7684\u4ea7\u751f\u6e90\u4e8e\u5fb7\u56fd\u4eba<strong>\u683c\u5965\u5c14\u683c\u00b7\u5eb7\u6258\u5c14<\/strong>\u7684\u7814\u7a76\u3002\u8fd9\u4e2a\u4eba\u7269\u662f\u4e00\u4f4d\u8457\u540d\u7684\u6570\u5b66\u5bb6\u3002\u4e8b\u5b9e\u4e0a\uff0c\u76f4\u5230\u4eca\u5929\u4ed6\u4ecd\u88ab\u79f0\u4e3a\u8be5\u7406\u8bba\u4e4b\u7236\u3002\u7814\u7a76\u4eba\u5458\u6700\u76f8\u5173\u7684\u7814\u7a76\u662f\u6570\u503c\u96c6\u548c\u65e0\u9650\u96c6\u3002<\/p>\n<p>\u5eb7\u6258\u5c14 (Cantor) \u7684\u7b2c\u4e00\u9879\u4e0e\u96c6\u5408\u8bba\u76f8\u5173\u7684\u7814\u7a76\u662f\u5728 1874 \u5e74\u3002\u6b64\u5916\uff0c\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0c\u4ed6\u7684\u5de5\u4f5c\u4ecd\u7136\u4e0e\u5f53\u65f6\u91cd\u8981\u7684\u6570\u5b66\u5bb6\u7406\u67e5\u5fb7\u00b7\u6234\u5fb7\u91d1 ( <strong>Richard Dedekind)<\/strong>\u7684\u7814\u7a76\u76f8\u5173\u3002\u751a\u81f3\u540e\u8005\u5728\u81ea\u7136\u6570\u7684\u7814\u7a76\u4e2d\u4e5f\u53d1\u6325\u4e86\u57fa\u7840\u4f5c\u7528\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_importancia_tiene_la_teoria_de_conjuntos\">\u96c6\u5408\u8bba\u6709\u591a\u91cd\u8981\uff1f<\/span><\/h2>\n<p>\u8be5\u7406\u8bba\u7684\u7814\u7a76\u5bf9\u4e8e<a href=\"https:\/\/mathority.org\/cn\/\u5982\u4f55\u8ba1\u7b97\u6982\u7387\/\" target=\"_blank\" rel=\"noreferrer 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