同时是2、3、5的倍数是？ 小学数学因数与倍数教学策略与设计
\u5982\u4f55\u4f7f\u5b66\u751f\u8ba4\u8bc6\u500d\u6570\u6559\u5b66\u7ecf\u9a8c\u603b\u7ed3\u6570\u5b66\u6559\u5b66\u8fc7\u7a0b\u662f\u5b66\u751f\u8ba4\u8bc6\u7684\u8fc7\u7a0b\u3001\u601d\u7ef4\u7684\u8fc7\u7a0b\u3002\u6559\u5e08\u5728\u5e73\u65f6\u7684\u6559\u5b66\u4e2d\uff0c\u4e00\u5b9a\u8981\u7740\u773c\u4e8e\u5b66\u751f\u7684\u751f\u6d3b\u5b9e\u9645\uff0c\u627e\u5230\u6570\u5b66\u4e0e\u751f\u6d3b\u7684\u7ed3\u5408\u70b9\u3002\u6559\u5b66\u6d3b\u52a8\u5fc5\u987b\u5efa\u7acb\u5728\u5b66\u751f\u7684\u8ba4\u77e5\u53d1\u5c55\u6c34\u5e73\u548c\u5df2\u6709\u77e5\u8bc6\u7ecf\u9a8c\u57fa\u7840\u4e4b\u4e0a\u3002\u6559\u5e08\u5e94\u8be5\u6fc0\u53d1\u5b66\u751f\u7684\u5b66\u4e60\u79ef\u6781\u6027\uff0c\u5411\u5b66\u751f\u63d0\u4f9b\u5145\u5206\u4ece\u4e8b\u6570\u5b66\u6d3b\u52a8\u7684\u673a\u4f1a\uff0c\u5e2e\u52a9\u4ed6\u4eec\u5728\u81ea\u4e3b\u63a2\u7d22\u548c\u5408\u4f5c\u4ea4\u6d41\u7684\u8fc7\u7a0b\u4e2d\u771f\u6b63\u7406\u89e3\u638c\u63e1\u57fa\u672c\u7684\u6570\u5b66\u77e5\u8bc6\u4e0e\u6280\u80fd\uff0c\u6570\u5b66\u601d\u60f3\u548c\u65b9\u6cd5\uff0c\u83b7\u5f97\u5e7f\u6cdb\u7684\u6570\u5b66\u6d3b\u52a8\u7ecf\u9a8c\u3002\u5b66\u751f\u662f\u6570\u5b66\u5b66\u4e60\u7684\u4e3b\u4eba\uff0c\u6559\u5e08\u662f\u6570\u5b66\u5b66\u4e60\u7684\u7ec4\u7ec7\u8005\uff0c\u5f15\u5bfc\u8005\u4e0e\u5408\u4f5c\u8005\u3002\u5728\u6559\u5b66\u4e2d\u6211\u4eec\u5e94\u6839\u636e\u5b66\u751f\u5b9e\u9645\uff0c\u5145\u5206\u53d1\u6325\u6559\u6750\u7684\u4f18\u52bf\uff0c\u771f\u6b63\u5b9e\u73b0\u7531\u5e94\u8bd5\u6559\u80b2\u5411\u7d20\u8d28\u6559\u80b2\u8f6c\u8f68\u3002\u6211\u8ba4\u4e3a\u5728\u6559\u5b66\u4e2d\u6ce8\u91cd\u4ee5\u4e0b\u51e0\u70b9\uff1a
\u4e00\u3001 \u6fc0\u53d1\u5b66\u751f\u7684\u5174\u8da3\uff0c\u53d8\u88ab\u52a8\u5b66\u4e60\u4e3a\u4e3b\u52a8\u5b66\u4e60
\u5174\u8da3\u662f\u6c42\u77e5\u7684\u8d77\u70b9\uff0c\u662f\u5b66\u751f\u5b66\u4e60\u548c\u521b\u9020\u7684\u52a8\u529b\u4e4b\u6e90\uff0c\u662f\u6210\u529f\u7684\u50ac\u5316\u5242\u3002\u8981\u63d0\u9ad8\u6570\u5b66\u6559\u5b66\u8d28\u91cf\uff0c\u6559\u5e08\u5fc5\u987b\u575a\u6301\u4ece\u8bf1\u53d1\u5b66\u751f\u7684\u5174\u8da3\u5165\u624b\uff0c\u6709\u76ee\u7684\u3001\u6709\u8ba1\u5212\u5730\u57f9\u517b\u5b66\u751f\u5b66\u4e60\u6570\u5b66\u7684\u5174\u8da3\uff0c\u5e76\u4f7f\u4e4b\u80fd\u957f\u4e45\u4e0b\u53bb\u3002\u90a3\u4e48\u600e\u6837\u6fc0\u53d1\u5b66\u751f\u7684\u5174\u8da3\u5462?
1\u3001\u521b\u8bbe\u95ee\u9898\u60c5\u5883\uff0c\u6d3b\u8dc3\u8bfe\u5802\u6c14\u6c1b\u6fc0\u53d1\u5b66\u4e60\u5174\u8da3
\u6559\u5b66\u8fc7\u7a0b\u65e2\u662f\u5b66\u4e60\u8ba4\u77e5\u7684\u8fc7\u7a0b\uff0c\u53c8\u662f\u5b66\u751f\u601d\u7ef4\u53d1\u5c55\u7684\u8fc7\u7a0b\uff0c\u6559\u5e08\u8981\u5584\u4e8e\u521b\u8bbe\u95ee\u9898\u60c5\u5883\uff0c\u6fc0\u53d1\u5b66\u751f\u5b66\u4e60\u5174\u8da3\uff0c\u5f15\u5bfc\u5b66\u751f\u7ecf\u8fc7\u52aa\u529b\u6210\u529f\u5730\u89e3\u51b3\u95ee\u9898\uff0c\u5fc5\u987b\u8425\u9020\u6109\u60a6\u7684\u5b66\u4e60\u6c1b\u56f4\uff0c\u521b\u8bbe\u826f\u597d\u7684\u6d3b\u52a8\u60c5\u5883\u3002\u628a\u6570\u5b66\u77e5\u8bc6\u878d\u4e8e\u751f\u6d3b\u5b9e\u8df5\u4e2d\uff0c\u4f7f\u5b66\u751f\u5728\u60c5\u7eea\u4e0a\u5f15\u8d77\u5171\u9e23\uff0c\u53d1\u73b0\u6570\u5b66\u5965\u79d8\u3002\u4f7f\u4ed6\u4eec\u8ba4\u8bc6\u5230\u6570\u5b66\u79bb\u4e0d\u5f00\u751f\u6d3b\uff0c\u751f\u6d3b\u4e2d\u5904\u5904\u8574\u6db5\u7740\u6570\u5b66\u77e5\u8bc6\u3002
2\u3001\u4f18\u5316\u6559\u5b66\u73af\u5883\uff0c\u6539\u8fdb\u6559\u5b66\u65b9\u6cd5\uff0c\u8c03\u52a8\u5b66\u751f\u7684\u5b66\u4e60\u5174\u8da3\u3002
\u6839\u636e\u5b66\u751f\u7684\u5e74\u9f84\u7279\u5f81\u548c\u8ba4\u8bc6\u89c4\u5f8b\uff0c\u5145\u5206\u5229\u7528\u5b66\u751f\u7684\u597d\u5947\u5fc3\uff0c\u91c7\u7528\u5404\u79cd\u624b\u6bb5\u8bf1\u53d1\u4ed6\u4eec\u7684\u6c42\u77e5\u6b32\u671b\u3002\u4e2d\u5b66\u751f\u903b\u8f91\u601d\u7ef4\u80fd\u529b\u3001\u7406\u89e3\u80fd\u529b\u60f3\u8c61\u80fd\u529b\u7b49\u9010\u6b65\u5f62\u6210\uff0c\u5728\u6559\u5b66\u4e2d\u8981\u7ed9\u5b66\u751f\u521b\u8bbe\u4e00\u4e9b\u72ec\u7acb\u601d\u8003\u7684\u673a\u4f1a\uff0c\u53d1\u5c55\u5b66\u751f\u5bf9\u95ee\u9898\u8fdb\u884c\u5206\u6790\u3001\u5224\u65ad\u3001\u6982\u62ec\u7684\u80fd\u529b\uff0c\u4f7f\u4ed6\u4eec\u7684\u6280\u80fd\u5f97\u4ee5\u8868\u73b0\uff0c\u5174\u8da3\u5f97\u5230\u5347\u534e\u3002
3\u3001\u8ba9\u5b66\u751f\u4f53\u9a8c\u6210\u529f\u7684\u559c\u60a6\uff0c\u57f9\u517b\u81ea\u4fe1\u5fc3\u3002
\u5f53\u5b66\u751f\u53d6\u5f97\u6210\u529f\u65f6\uff0c\u53ef\u4ee5\u4f7f\u5b66\u751f\u4ea7\u751f\u4e00\u79cd\u6ee1\u8db3\uff0c\u5feb\u4e50\u3001\u81ea\u8c6a\u7b49\u79ef\u6781\u7684\u60c5\u7eea\u4f53\u9a8c\uff0c\u6211\u4eec\u8981\u6293\u4f4f\u673a\u4f1a\u591a\u8868\u626c\u3001\u9f13\u52b1\uff0c\u7279\u522b\u662f\u540e\u8fdb\u751f\u6211\u4eec\u8981\u628a\u4ed6\u7684\u79ef\u6781\u7684\u60c5\u7eea\u8f6c\u5316\u5230\u5b66\u4e60\u4e0a\uff0c\u4ece\u800c\u63d0\u9ad8\u5b66\u4e60\u5174\u8da3\u3002
\u4e8c\u3001\u5b9e\u65bd\u8ba8\u8bba\u5f0f\u6559\u5b66\uff0c\u57f9\u517b\u5b66\u751f\u7684\u81ea\u5b66\u63a2\u7a76\u7cbe\u795e
\u6559\u5b66\u5e94\u8be5\u662f\u521b\u9020\u6027\u7684\u6d3b\u52a8\uff0c\u8981\u4e3a\u5b66\u751f\u5065\u5168\u4eba\u683c\u7684\u5f62\u6210\u548c\u6001\u5ea6\u3001\u80fd\u529b\u3001\u77e5\u8bc6\u7b49\u65b9\u9762\u7684\u53d1\u5c55\u521b\u9020\u6761\u4ef6\u3002\u79ef\u6781\u5f15\u5bfc\u548c\u9f13\u52b1\u5b66\u751f\u53d1\u73b0\u548c\u89e3\u51b3\u95ee\u9898\u8fd0\u7528\u5df2\u6709\u77e5\u8bc6\u548c\u7ecf\u9a8c\uff0c\u5b66\u4e60\u548c\u638c\u63e1\u4e00\u4e9b\u65b9\u6cd5\uff0c\u4e3a\u57f9\u517b\u5176\u7ec8\u8eab\u5b66\u4e60\u548c\u4e3b\u52a8\u83b7\u53d6\u77e5\u8bc6\u7684\u80fd\u529b\u5960\u5b9a\u57fa\u77d7\u968f\u7740\u6559\u5b66\u6539\u9769\u7684\u4e0d\u65ad\u6df1\u5165\uff0c\u63a2\u7a76\u5f0f\u7684\u6559\u5b66\u7b56\u7565\u88ab\u8d8a\u6765\u8d8a\u591a\u7684\u6559\u5e08\u6240\u91c7\u7528\uff0c\u5408\u4f5c\u5f0f\u7684\u5c0f\u7ec4\u5b66\u4e60\u5df2\u6210\u4e3a\u8bfe\u5802\u6559\u5b66\u7684\u91cd\u8981\u7ec4\u7ec7\u5f62\u5f0f\uff0c\u8bfe\u5802\u9010\u6e10\u5730\u88ab\u8fd8\u7ed9\u5b66\u751f\u3002\u4f8b\u5982\uff0c\u5728\u6559\u5b66\u300a\u5e73\u884c\u56db\u8fb9\u5f62\u6027\u8d28\u300b\u65f6\uff0c\u6211\u5c06\u8fd9\u4e2a\u95ee\u9898\u4ea4\u7ed9\u5b66\u751f\u53bb\u7814\u7a76\uff0c\u7136\u540e\u5728\u5c0f\u7ec4\u5185\u4ea4\u6d41\uff0c\u5b66\u751f\u4e92\u76f8\u8865\u5145\uff0c\u6700\u540e\u603b\u7ed3\u6982\u62ec\u51fa\u7ed3\u8bba\u3002\u8fd9\u6837\uff0c\u5b66\u751f\u6709\u4e86\u660e\u786e\u7684\u4efb\u52a1\uff0c\u53c8\u6709\u4e86\u5b8c\u6210\u4efb\u52a1\u7684\u673a\u4f1a\uff0c\u81ea\u7136\u4f1a\u7cbe\u8bda\u56e2\u7ed3\uff0c\u4e92\u76f8\u5e2e\u52a9\uff0c\u5171\u5ea6\u96be\u5173\u3002\u8bfe\u5802\u4e2d\u5145\u5206\u4f53\u73b0\u4e86\u6559\u5e08\u7684\u4e3b\u5bfc\u4f5c\u7528\u548c\u5b66\u751f\u7684\u4e3b\u4f53\u5730\u4f4d\u3002\u95ee\u9898\u6211\u5b9a\uff0c\u89e3\u51b3\u95ee\u9898\u7684\u65b9\u6cd5\u7531\u4f60\u60f3\u7684\u8bfe\u5802\u5b9a\u4f4d\u4f7f\u539f\u672c\u88ab\u52a8\u3001\u6c89\u95f7\u7684\u8bfe\u5802\u5927\u4e3a\u6539\u89c2\uff0c\u5b66\u751f\u5b66\u4e60\u7684\u79ef\u6781\u6027\u3001\u601d\u7ef4\u7684\u6df1\u523b\u6027\u3001\u63a2\u7a76\u7684\u7cbe\u795e\u5747\u5f97\u5230\u4e86\u57f9\u517b\uff0c\u8fd9\u8282\u8bfe\u91c7\u7528\u7684\u201c\u95ee\u9898\u89e3\u51b3\u201d\u7684\u6559\u5b66\u6a21\u5f0f\uff0c\u9075\u5faa\u4e86\u201c\u521b\u8bbe\u95ee\u9898\u3001\u63d0\u51fa\u95ee\u9898\u2192\u5408\u4f5c\u4ea4\u6d41\uff0c\u63a2\u7d22\u89c4\u5f8b\u2192\u5e94\u7528\u89c4\u5f8b\uff0c\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\u201d\u601d\u8def\u6765\u7ec4\u7ec7\u6559\u5b66\u8fc7\u7a0b\u3002\u8bfe\u5802\u6559\u5b66\u6539\u53d8\u8fc7\u53bb\u90a3\u79cd\u201c\u63a5\u53d7\u5f0f\u201d\u5b66\u4e60\u65b9\u5f0f\uff0c\u5f62\u6210\u4e00\u79cd\u5bf9\u77e5\u8bc6\u8fdb\u884c\u4e3b\u52a8\u63a2\u7a76\u7684\u5b66\u4e60\u65b9\u5f0f\u3002
\u4e09\u3001\u7cbe\u8bb2\u7cbe\u7ec3\uff0c\u63d0\u9ad8\u8bfe\u5802\u6559\u5b66\u6548\u679c
\u8bb2\u7ec3\u7ed3\u5408\u8fd9\u79cd\u65b9\u6cd5\u6709\u5229\u4e8e\u8ba9\u5b66\u751f\u52a8\u53e3\u3001\u52a8\u624b\u3001\u52a8\u8111\uff0c\u5728\u53c2\u4e0e\u4e2d\u601d\u8003\u3001\u5b66\u4e60\uff0c\u5145\u5206\u5229\u7528\u8bfe\u5802\u56db\u5341\u4e94\u5206\u949f\uff0c\u4e0d\u4ec5\u53ef\u4ee5\u51cf\u8f7b\u5b66\u751f\u8d1f\u62c5\uff0c\u8fd8\u80fd\u8c03\u52a8\u5b66\u751f\u5b66\u4e60\u79ef\u6781\u6027\u3002\u8981\u60f3\u5728\u6709\u9650\u768445\u5206\u949f\u5185\u8fbe\u5230\u7ec3\u4e60\u7684\u76ee\u7684\uff0c\u6559\u5e08\u5fc5\u987b\u628a\u63e1\u597d\u4e0a\u8bfe\u7684\u524d20\u5206\u949f\uff0c\u56e0\u4e3a\u8fd9\u4e00\u65f6\u6bb5\u662f\u5b66\u751f\u6ce8\u610f\u529b\u96c6\u4e2d\u7684\u6700\u4f73\u65f6\u673a\u9996\u5148\uff0c\u4e0a\u8bfe\u65f6\u6559\u5e08\u8981\u7cbe\u8bb2\uff0c\u5728\u8bfe\u5802\u4e0a\u4ee5\u8bad\u7ec3\u4e3a\u4e3b\u3002\u8ba9\u5b66\u751f\u591a\u52a8\u8111\uff0c\u52e4\u52a8\u7b14\u3002\u6709\u53e5\u8bdd\u8bf4\u5f97\u597d\u201c\u6570\u5b66\uff0c\u53ea\u6709\u81ea\u5df1\u505a\u5bf9\u4e86\uff0c\u624d\u53eb\u505a\u771f\u6b63\u5b66\u4f1a\u4e86\u201d\u3002\u8981\u60f3\u4f7f\u7ec3\u4e60\u6548\u679c\u660e\u663e\uff0c\u8bfe\u524d\u5fc5\u987b\u7cbe\u5fc3\u7b5b\u9009\u4e0e\u672c\u8bfe\u65b0\u6388\u5185\u5bb9\u7d27\u5bc6\u76f8\u5173\u7684\u7ec3\u4e60\u3002\u7ec3\u4e60\u9898\u8981\u6709\u4e00\u5b9a\u7684\u5761\u5ea6\uff0c\u9075\u5faa\u7531\u6613\u5230\u96be\u7684\u539f\u5219\u3002\u540c\u65f6\u7ec3\u4e60\u8981\u9002\u91cf\uff0c\u786e\u4fdd\u5b66\u751f\u80fd\u5b8c\u6210\u3002\u5bf9\u4e8e\u65b0\u6388\u8bfe\u7684\u8bfe\u5802\u7ec3\u4e60\u5fc5\u987b\u89c4\u8303\u5b66\u751f\u7684\u8868\u8fbe\uff0c\u5728\u7b2c\u4e00\u6b21\u5fc5\u987b\u5f62\u6210\u6b63\u786e\u7684\u8868\u8fbe\uff0c\u4e0d\u80fd\u53ea\u5bf9\u7b54\u6848\u4e0d\u6ce8\u91cd\u8868\u8fbe\u4e60\u60ef\uff0c\u7ec3\u4e60\u4e2d\u53ca\u65f6\u53d1\u73b0\u5b66\u751f\u5b58\u5728\u7684\u95ee\u9898\u53ca\u65f6\u7ea0\u6b63\u3002\u4f5c\u4e1a\uff0c\u6559\u5e08\u4e00\u5b9a\u8981\u6279\u6539\uff0c\u53ca\u65f6\u53d1\u73b0\u95ee\u9898\uff0c\u53ca\u65f6\u53cd\u6e83
\u56db\u3001\u590d\u4e60\u8981\u6709\u8ba1\u5212\uff0c\u6709\u76ee\u7684\uff0c\u8981\u56e0\u6750\u65bd\u6559
\u65e0\u8bba\u662f\u5e73\u65f6\u590d\u4e60\uff0c\u8fd8\u662f\u4e2d\u8003\u524d\u7684\u590d\u4e60\uff0c\u6559\u5e08\u5fc5\u987b\u5236\u5b9a\u4e00\u4e2a\u6bd4\u8f83\u8be6\u7ec6\u7684\u590d\u4e60\u8ba1\u5212\u3002\u8ba1\u5212\u5177\u4f53\u5230\u6bcf\u5468\u3001\u6bcf\u4e00\u5929\u590d\u4e60\u7684\u5185\u5bb9\uff0c\u6bcf\u4e00\u8bfe\u65f6\u89e3\u51b3\u7684\u77e5\u8bc6\u70b9\uff0c\u6bcf\u4e00\u8bfe\u65f6\u8981\u89e3\u51b3\u7684\u95ee\u9898\u3002\u6709\u4e86\u8ba1\u5212\uff0c\u5c31\u8981\u4e25\u683c\u6309\u8ba1\u5212\u884c\u4e8b\u3002\u590d\u4e60\u65f6\u8981\u56e0\u6750\u65bd\u6559\uff0c\u53ef\u4ee5\u5c06\u4e00\u4e9b\u5b66\u4e60\u6709\u56f0\u96be\u7684\u540c\u5b66\u7f16\u5728\u540c\u4e00\u7ec4\uff0c\u7559\u7ed9\u4ed6\u4eec\u4e00\u4e9b\u57fa\u7840\u7684\u77e5\u8bc6\u7ec3\u4e60\uff0c\u6bd4\u5982\u8ba1\u7b97\u9898\uff0c\u4e66\u4e0a\u7684\u7ec3\u4e60\u9898\uff0c\u4ed6\u4eec\u53ef\u4ee5\u53cd\u590d\u7ec3\u4e60\uff0c\u8fbe\u5230\u57fa\u7840\u77e5\u8bc6\u7684\u7262\u56fa\u638c\u63e1\u3002\u800c\u5176\u4ed6\u540c\u5b66\uff0c\u53ef\u4ee5\u8ddf\u6559\u5e08\u7ec3\u4e60\u4e00\u4e9b\u6709\u96be\u5ea6\u7684\u9898\uff0c\u8fd9\u6837\u53ef\u4ee5\u6709\u52a9\u4e8e\u4f18\u751f\u601d\u7ef4\u7684\u62d3\u5c55\u3002
\u603b\u7684\u6765\u8bf4\uff0c\u6211\u8ba4\u4e3a\u63d0\u9ad8\u6570\u5b66\u6559\u5b66\u8d28\u91cf\u4e0d\u662f\u9760\u589e\u52a0\u8bfe\u65f6\uff0c\u8981\u9760\u63d0\u9ad8\u6bcf\u5802\u8bfe\u7684\u6548\u76ca\uff0c\u51cf\u5c11\u65e0\u6548\u52b3\u52a8\u9020\u6210\u7684\u65f6\u95f4\u6d6a\u8d39\u3002\u8981\u60f3\u63d0\u9ad8\u8bfe\u5802\u6548\u76ca\uff0c\u5fc5\u987b\u8ba4\u771f\u94bb\u7814\u65b0\u8bfe\u7a0b\u6807\u51c6\u3001\u6559\u5b66\u8981\u6c42\u3001\u6559\u6750\u5185\u5bb9\uff0c\u5bf9\u5fc5\u5b66\u5185\u5bb9\u3001\u9009\u5b66\u5185\u5bb9\u3001\u57fa\u672c\u8981\u6c42\u3001\u8f83\u9ad8\u8981\u6c42\u7b49\uff0c\u6bcf\u5e74\u7684\u8bfe\u7a0b\u53d8\u5316\u90fd\u8981\u5fc3\u4e2d\u6709\u6570\u3002
\u300a\u500d\u6570\u548c\u56e0\u6570\u300b\u8fd9\u4e00\u5185\u5bb9\u4e0e\u539f\u6765\u6559\u6750\u6bd4\u6709\u4e86\u5f88\u5927\u7684\u4e0d\u540c\uff0c\u8001\u6559\u6750\u4e2d\u662f\u5148\u5efa\u7acb\u6574\u9664\u7684\u6982\u5ff5\uff0c\u518d\u5728\u6b64\u57fa\u7840\u4e0a\u8ba4\u8bc6\u56e0\u6570\u500d\u6570\uff0c\u800c\u73b0\u5728\u662f\u5728\u672a\u8ba4\u8bc6\u6574\u9664\u7684\u60c5\u51b5\u4e0b\u76f4\u63a5\u8ba4\u8bc6\u500d\u6570\u548c\u56e0\u6570\u7684\u3002\u6570\u5b66\u4e2d\u7684\u201c\u8d77\u59cb\u6982\u5ff5\u201d\u4e00\u822c\u6bd4\u8f83\u96be\u6559\uff0c\u8fd9\u90e8\u5206\u5185\u5bb9\u5b66\u751f\u521d\u6b21\u63a5\u89e6\uff0c\u5bf9\u4e8e\u5b66\u751f\u6765\u8bf4\u662f\u6bd4\u8f83\u96be\u638c\u63e1\u7684\u5185\u5bb9\u3002\u9996\u5148\u662f\u540d\u79f0\u6bd4\u8f83\u62bd\u8c61\uff0c\u5728\u73b0\u5b9e\u751f\u6d3b\u4e2d\u53c8\u4e0d\u7ecf\u5e38\u63a5\u89e6\uff0c\u5bf9\u8fd9\u6837\u7684\u6982\u5ff5\u6559\u5b66\uff0c\u8981\u60f3\u8ba9\u5b66\u751f\u771f\u6b63\u7406\u89e3\u3001\u638c\u63e1\u3001\u5224\u65ad\uff0c\u9700\u8981\u4e00\u4e2a\u957f\u671f\u7684\u6d88\u5316\u7406\u89e3\u7684\u8fc7\u7a0b\u3002
\u8fd9\u8282\u8bfe\u6211\u5728\u6559\u5b66\u4e2d\u5145\u5206\u4f53\u73b0\u4ee5\u5b66\u751f\u4e3a\u4e3b\u4f53\uff0c\u4e3a\u5b66\u751f\u7684\u63a2\u7a76\u53d1\u73b0\u63d0\u4f9b\u8db3\u591f\u7684\u65f6\u7a7a\u548c\u9002\u5f53\u7684\u6307\u5bfc\uff0c\u540c\u65f6\uff0c\u4e5f\u4e3a\u63d0\u9ad8\u8bfe\u5802\u6559\u5b66\u7684\u6709\u6548\u6027\uff0c\u6211\u5728\u672c\u8bfe\u7684\u6559\u5b66\u4e2d\u4f53\u73b0\u4e86\u81ea\u4e3b\u5316\u3001\u6d3b\u52a8\u5316\u3001\u5408\u4f5c\u5316\u548c\u60c5\u610f\u5316\uff0c\u5177\u4f53\u505a\u5230\u4e86\u4ee5\u4e0b\u51e0\u70b9\uff1a
(\u4e00) \u64cd\u4f5c\u5b9e\u8df5\uff0c\u4e3e\u4f8b\u5185\u5316\uff0c\u8ba4\u8bc6\u500d\u6570\u548c\u56e0\u6570
\u6211\u521b\u8bbe\u6709\u6548\u7684\u6570\u5b66\u5b66\u4e60\u60c5\u5883\uff0c\u6570\u5f62\u7ed3\u5408\uff0c\u53d8\u62bd\u8c61\u4e3a\u76f4\u89c2\u3002\u9996\u5148\u8ba9\u5b66\u751f\u52a8\u624b\u64cd\u4f5c\u628a12\u4e2a\u5c0f\u6b63\u65b9\u5f62\u6446\u6210\u4e0d\u540c\u7684\u957f\u65b9\u5f62\uff0c\u518d\u8ba9\u5b66\u751f\u5199\u51fa\u4e0d\u540c\u7684\u4e58\u6cd5\u7b97\u5f0f\uff0c\u501f\u52a9\u4e58\u6cd5\u7b97\u5f0f\u5f15\u51fa\u56e0\u6570\u548c\u500d\u6570\u7684\u610f\u4e49\u3002\u8fd9\u6837\u5728\u5b66\u751f\u5df2\u6709\u7684\u77e5\u8bc6\u57fa\u7840\u4e0a\uff0c\u4ece\u52a8\u624b\u64cd\u4f5c\uff0c\u76f4\u89c2\u611f\u77e5\uff0c\u4f7f\u6982\u5ff5\u7684\u63ed\u793a\u7a81\u7834\u4e86\u4ece\u62bd\u8c61\u5230\u62bd\u8c61\uff0c\u4ece\u6570\u5b66\u5230\u6570\u5b66\uff0c\u8ba9\u5b66\u751f\u81ea\u4e3b\u4f53\u9a8c\u6570\u4e0e\u5f62\u7684\u7ed3\u5408\uff0c\u8fdb\u800c\u5f62\u6210\u56e0\u6570\u4e0e\u500d\u6570\u7684\u610f\u4e49.\u4f7f\u5b66\u751f\u521d\u6b65\u5efa\u7acb\u4e86\u201c\u56e0\u6570\u4e0e\u500d\u6570\u201d\u7684\u6982\u5ff5\u3002\u8fd9\u6837\uff0c\u5145\u5206\u5b66\u4e60\u3001\u5229\u7528\u3001\u6316\u6398\u6559\u6750,\u7528\u5b66\u751f\u5df2\u6709\u7684\u6570\u5b66\u77e5\u8bc6\u5f15\u51fa\u4e86\u65b0\u77e5\u8bc6\uff0c\u51cf\u7f13\u96be\u5ea6\uff0c\u6548\u679c\u8f83\u597d\u3002
\uff08\u4e8c\uff09\u81ea\u4e3b\u63a2\u7a76\uff0c\u610f\u4e49\u5efa\u6784\uff0c\u627e\u500d\u6570\u548c\u56e0\u6570
\u6574\u4e2a\u6559\u5b66\u8fc7\u7a0b(\u672c\u6587\u6765\u81ea\u4f18\u79c0\u6559\u80b2\u8d44\u6e90\u7f51\u6590.\u6590.\u8bfe.\u4ef6.\u56ed)\u4e2d\u529b\u6c42\u4f53\u73b0\u5b66\u751f\u662f\u5b66\u4e60\u7684\u4e3b\u4f53\uff0c\u6559\u5e08\u53ea\u662f\u6559\u5b66\u6d3b\u52a8\u7684\u7ec4\u7ec7\u8005\u3001\u6307\u5bfc\u8005\u3001\u53c2\u4e0e\u8005\u3002\u6574\u8282\u8bfe\u4e2d\uff0c\u6559\u5e08\u59cb\u7ec8\u4e3a\u5b66\u751f\u521b\u9020\u5bbd\u677e\u7684\u5b66\u4e60\u6c1b\u56f4\uff0c\u8ba9\u5b66\u751f\u81ea\u4e3b\u63a2\u7d22\uff0c\u5b66\u4e60\u7406\u89e3\u500d\u6570\u548c\u56e0\u6570\u7684\u610f\u4e49\uff0c\u63a2\u7d22\u5e76\u638c\u63e1\u627e\u4e00\u4e2a\u6570\u7684\u500d\u6570\u548c\u56e0\u6570\u7684\u65b9\u6cd5\uff0c\u5f15\u5bfc\u5b66\u751f\u5728\u5145\u5206\u7684\u52a8\u53e3\u3001\u52a8\u624b\u3001\u52a8\u8111\u4e2d\u81ea\u4e3b\u83b7\u53d6\u77e5\u8bc6\u3002
\u65b0\u8bfe\u7a0b\u63d0\u51fa\u4e86\u5408\u4f5c\u5b66\u4e60\u7684\u5b66\u4e60\u65b9\u5f0f\uff0c\u6559\u5b66\u4e2d\u7684\u591a\u6b21\u5408\u4f5c\u4e0d\u4ec5\u80fd\u8ba9\u5b66\u751f\u5728\u5408\u4f5c\u4e2d\u53d1\u8868\u610f\u89c1\uff0c\u53c2\u4e0e\u8ba8\u8bba\uff0c\u83b7\u5f97\u77e5\u8bc6\uff0c\u53d1\u73b0\u7279\u5f81\uff0c\u800c\u4e14\u8fd8\u5f88\u597d\u5730\u57f9\u517b\u4e86\u5b66\u751f\u7684\u5408\u4f5c\u5b66\u4e60\u80fd\u529b\uff0c\u521d\u6b65\u5f62\u6210\u5408\u4f5c\u4e0e\u7ade\u4e89\u7684\u610f\u8bc6\u3002
\u627e\u4e00\u4e2a\u6570\u56e0\u6570\u7684\u65b9\u6cd5\u662f\u672c\u8282\u8bfe\u7684\u96be\u70b9\uff0c\u5982\u4f55\u505a\u5230\u65e2\u4e0d\u91cd\u590d\u53c8\u4e0d\u9057\u6f0f\u5730\u627e36\u7684\u56e0\u6570\u5bf9\u4e8e\u521a\u521a\u5bf9\u500d\u6570\u56e0\u6570\u6709\u4e2a\u611f\u6027\u8ba4\u8bc6\u7684\u5b66\u751f\u6765\u8bf4\u6709\u4e00\u5b9a\u56f0\u96be\uff0c\u8fd9\u91cc\u6211\u5145\u5206\u53d1\u6325\u5c0f\u7ec4\u5b66\u4e60\u7684\u4f18\u52bf\u8ba8\u8bba\u4ea4\u6d41\uff0c\u5b66\u751f\u5bf9\u81ea\u5df1\u521a\u624d\u7684\u65b9\u6cd5\u8fdb\u884c\u53cd\u601d\uff0c\u5438\u6536\u540c\u4f34\u4e2d\u597d\u7684\u65b9\u6cd5\uff0c\u8fd9\u65f6\u8001\u5e08\u518d\u7ed9\u4e88\u6709\u6548\u7684\u6307\u5bfc\u548c\u603b\u7ed3\u3002
\uff08\u4e09\uff09\u53d8\u5f0f\u62d3\u5c55\uff0c\u5b9e\u8df5\u5e94\u7528
\u7ec3\u4e60\u7684\u8bbe\u8ba1\u4e0d\u4ec5\u7d27\u7d27\u56f4\u7ed5\u6559\u5b66\u91cd\u70b9\uff0c\u800c\u4e14\u6ce8\u610f\u5230\u4e86\u7ec3\u4e60\u7684\u5c42\u6b21\u6027\uff0c\u8da3\u5473\u6027\u3002\u5728\u6e38\u620f\u4e2d\uff0c\u5e08\u751f\u4e92\u52a8\uff0c\u6fc0\u6d3b\u4e86\u5b66\u751f\u7684\u60c5\u611f\uff0c\u5b66\u751f\u7684\u601d\u7ef4\u4e0d\u65ad\u6d3b\u8dc3\u8d77\u6765\uff0c\u5b66\u751f\u4e0d\u4ec5\u53c2\u4e0e\u7387\u9ad8\uff0c\u800c\u4e14\u8fd8\u8f83\u597d\u5730\u5de9\u56fa\u4e86\u65b0\u77e5\u3002\u8bfe\u4e0a\uff0c\u6211\u80fd\u6ce8\u91cd\u81ea\u59cb\u81f3\u7ec8\u5173\u6ce8\u5b66\u751f\u5b66\u4e60\u5174\u8da3\u3001\u5b66\u4e60\u70ed\u60c5\u3001\u5b66\u4e60\u81ea\u4fe1\u7b49\u60c5\u611f\u56e0\u7d20\u7684\u57f9\u517b\uff0c\u5e76\u53ca\u65f6\u8ba9\u5b66\u751f\u611f\u53d7\u5230\u5b66\u4e60\u6210\u529f\u7684\u559c\u60a6\uff0c\u4eab\u53d7\u6570\u5b66\uff0c\u611f\u609f\u6587\u5316\u9b45\u529b\u3002
5的倍数特征个位是0或5的数
3的倍数特征是各位上的数的和是3的倍数，因此，同时是2、3、5的倍数个位应该是0，是30、60、90……
绛旓細3鐨勫嶆暟鐗瑰緛鏄悇浣嶄笂鐨勬暟鐨勫拰鏄3鐨勫嶆暟锛屽洜姝锛屽悓鏃舵槸2銆3銆5鐨勫嶆暟涓綅搴旇鏄0锛屾槸30銆60銆90鈥︹
绛旓細135锛215锛235锛245銆
绛旓細瑙ｏ細 600
绛旓細鍚屾椂鏄2銆3鍜5鐨勫嶆暟鏈夋棤鏁颁釜锛屼緥濡傦細30锛60锛90锛120锛150绛夌瓑銆傚垎鏋愯繃绋嬪涓嬶細鍚屾椂鏄2銆3鍜5鐨勫嶆暟锛屽氨鏄2銆3鍜5鐨勫叕鍊嶆暟銆傚洜涓2銆3鍜5涓夎呮槸璐ㄦ暟锛屾墍浠ュ畠浠殑鏈灏忓叕鍊嶆暟鏄2脳3脳5=30銆傚啀鐢30渚濇涔樹互2銆3銆4銆5銆6绛夌瓑锛屽嵆鍙緱鍒2銆3鍜5鐨勪竴浜涘嶆暟銆傚嶆暟鏄竴鏁板鍚嶈瘝锛屾槸鎸囦竴涓暟...
绛旓細鍚屾椂鏄2锛3鍜5鐨勫嶆暟鏈30锛60锛90锛120锛150绛夌瓑銆傚垎鏋愯繃绋嬪涓嬶細鍚屾椂鏄2锛3鍜5鐨勫嶆暟锛屽氨鏄2锛3鍜5鐨勫叕鍊嶆暟銆傚洜涓2锛3鍜5涓夎呮槸璐ㄦ暟锛屾墍浠ュ畠浠殑鏈灏忓叕鍊嶆暟鏄2脳3脳5=30銆傚啀鐢30锛屼緷娆′箻浠2锛3锛4锛5锛6绛夌瓑鍗冲彲寰楀埌2锛3鍜5鐨勪竴浜涘嶆暟銆
绛旓細2X3X5=30 鎵浠ワ紝鍚屾椂鏄2锛3锛5鐨勫嶆暟鐨勬暟锛屽氨鏄30鐨勫嶆暟 30鐨勫嶆暟鏈夛細30锛60锛90锛120锛150锛180锛210锛240鈥︹﹀彲浠ョ敤锛30x1=30 30x2=60 30x3=90 30x4=120 30x5=150 30x6=180鈥︹
绛旓細鍚屾椂鏄2銆3銆5鐨勫嶆暟鏈夛細30銆60銆90銆120銆150鈥︹﹀笇鏈涜兘甯姪鍒颁綘锛岃閲囩撼璋㈣阿锛
绛旓細鍥炵瓟锛30 60 90 杩欐牱鐨勬暟瀛
绛旓細婊¤冻涓綅涓婃槸0鐨勶紝鍐嶆妸鍚勪釜鏁颁綅涓婄殑鏁板姞璧锋潵鐪嬭兘鍚﹁3鏁撮櫎锛235锛2+3+5=11锛屼笉鑳借3鏁撮櫎锛720锛7+2+0=9锛岃兘琚3鏁撮櫎锛160锛1+6+0=7锛屼笉鑳借3鏁撮櫎锛庢墍浠鍚屾椂鏄2銆3銆5鐨勫嶆暟鐨勬暟鏄720锛屾晠閫夛細B锛
绛旓細鍚屾椂鏄2锛3鍜5鐨勫嶆暟鐨勬暟鏄灏 2,3,5鐨勬渶灏忓叕鍊嶆暟鏄30,鍚屾椂鏄2,3,5鐨勫嶆暟鐨勬暟鏈30,60,90鈥30n. n鈭圢+.
