20道五年级下期用的奥数题，题目及答案都要。题目必须简短明了，答案清晰明了，结果也要，拜托各位啦！~~~~ 20道五年级下学期奥数题（简单一点的）不要答案
20\u9053\u4e94\u5e74\u7ea7\u4e0b\u5b66\u671f\u5965\u6570\u9898\uff0c\u7b80\u77ed\u7684\uff0c\u8981\u7b54\u6848\u89e3\u6790\uff1a
1+1/2+1/6+1/12+...+1/(2016\u00d71017)
=1+(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2016-1/2017)
=1+1-1/2017
=2-1/2017
\u8fc7\u6865\u95ee\u9898\uff081\uff09
1. \u4e00\u5217\u706b\u8f66\u7ecf\u8fc7\u5357\u4eac\u957f\u6c5f\u5927\u6865\uff0c\u5927\u6865\u957f6700\u7c73\uff0c\u8fd9\u5217\u706b\u8f66\u957f140\u7c73\uff0c\u706b\u8f66\u6bcf\u5206\u949f\u884c400\u7c73\uff0c\u8fd9\u5217\u706b\u8f66\u901a\u8fc7\u957f\u6c5f\u5927\u6865\u9700\u8981\u591a\u5c11\u5206\u949f\uff1f
\u5206\u6790\uff1a\u8fd9\u9053\u9898\u6c42\u7684\u662f\u901a\u8fc7\u65f6\u95f4\u3002\u6839\u636e\u6570\u91cf\u5173\u7cfb\u5f0f\uff0c\u6211\u4eec\u77e5\u9053\u8981\u60f3\u6c42\u901a\u8fc7\u65f6\u95f4\uff0c\u5c31\u8981\u77e5\u9053\u8def\u7a0b\u548c\u901f\u5ea6\u3002\u8def\u7a0b\u662f\u7528\u6865\u957f\u52a0\u4e0a\u8f66\u957f\u3002\u706b\u8f66\u7684\u901f\u5ea6\u662f\u5df2\u77e5\u6761\u4ef6\u3002
\u603b\u8def\u7a0b\uff1a \uff08\u7c73\uff09
\u901a\u8fc7\u65f6\u95f4\uff1a \uff08\u5206\u949f\uff09
\u7b54\uff1a\u8fd9\u5217\u706b\u8f66\u901a\u8fc7\u957f\u6c5f\u5927\u6865\u9700\u898117.1\u5206\u949f\u3002
2. \u4e00\u5217\u706b\u8f66\u957f200\u7c73\uff0c\u5168\u8f66\u901a\u8fc7\u957f700\u7c73\u7684\u6865\u9700\u898130\u79d2\u949f\uff0c\u8fd9\u5217\u706b\u8f66\u6bcf\u79d2\u884c\u591a\u5c11\u7c73\uff1f
\u5206\u6790\u4e0e\u89e3\u7b54\uff1a\u8fd9\u662f\u4e00\u9053\u6c42\u8f66\u901f\u7684\u8fc7\u6865\u95ee\u9898\u3002\u6211\u4eec\u77e5\u9053\uff0c\u8981\u60f3\u6c42\u8f66\u901f\uff0c\u6211\u4eec\u5c31\u8981\u77e5\u9053\u8def\u7a0b\u548c\u901a\u8fc7\u65f6\u95f4\u8fd9\u4e24\u4e2a\u6761\u4ef6\u3002\u53ef\u4ee5\u7528\u5df2\u77e5\u6761\u4ef6\u6865\u957f\u548c\u8f66\u957f\u6c42\u51fa\u8def\u7a0b\uff0c\u901a\u8fc7\u65f6\u95f4\u4e5f\u662f\u5df2\u77e5\u6761\u4ef6\uff0c\u6240\u4ee5\u8f66\u901f\u53ef\u4ee5\u5f88\u65b9\u4fbf\u6c42\u51fa\u3002
\u603b\u8def\u7a0b\uff1a \uff08\u7c73\uff09
\u706b\u8f66\u901f\u5ea6\uff1a \uff08\u7c73\uff09
\u7b54\uff1a\u8fd9\u5217\u706b\u8f66\u6bcf\u79d2\u884c30\u7c73\u3002
3. \u4e00\u5217\u706b\u8f66\u957f240\u7c73\uff0c\u8fd9\u5217\u706b\u8f66\u6bcf\u79d2\u884c15\u7c73\uff0c\u4ece\u8f66\u5934\u8fdb\u5c71\u6d1e\u5230\u5168\u8f66\u51fa\u5c71\u6d1e\u5171\u752820\u79d2\uff0c\u5c71\u6d1e\u957f\u591a\u5c11\u7c73\uff1f
\u5206\u6790\u4e0e\u89e3\u7b54\uff1a\u706b\u8f66\u8fc7\u5c71\u6d1e\u548c\u706b\u8f66\u8fc7\u6865\u7684\u601d\u8def\u662f\u4e00\u6837\u7684\u3002\u706b\u8f66\u5934\u8fdb\u5c71\u6d1e\u5c31\u76f8\u5f53\u4e8e\u706b\u8f66\u5934\u4e0a\u6865\uff1b\u5168\u8f66\u51fa\u6d1e\u5c31\u76f8\u5f53\u4e8e\u8f66\u5c3e\u4e0b\u6865\u3002\u8fd9\u9053\u9898\u6c42\u5c71\u6d1e\u7684\u957f\u5ea6\u4e5f\u5c31\u76f8\u5f53\u4e8e\u6c42\u6865\u957f\uff0c\u6211\u4eec\u5c31\u5fc5\u987b\u77e5\u9053\u603b\u8def\u7a0b\u548c\u8f66\u957f\uff0c\u8f66\u957f\u662f\u5df2\u77e5\u6761\u4ef6\uff0c\u90a3\u4e48\u6211\u4eec\u5c31\u8981\u5229\u7528\u9898\u4e2d\u6240\u7ed9\u7684\u8f66\u901f\u548c\u901a\u8fc7\u65f6\u95f4\u6c42\u51fa\u603b\u8def\u7a0b\u3002
\u603b\u8def\u7a0b\uff1a
\u5c71\u6d1e\u957f\uff1a \uff08\u7c73\uff09
\u7b54\uff1a\u8fd9\u4e2a\u5c71\u6d1e\u957f60\u7c73\u3002
\u548c\u500d\u95ee\u9898
1. \u79e6\u594b\u548c\u5988\u5988\u7684\u5e74\u9f84\u52a0\u5728\u4e00\u8d77\u662f40\u5c81\uff0c\u5988\u5988\u7684\u5e74\u9f84\u662f\u79e6\u594b\u5e74\u9f84\u76844\u500d\uff0c\u95ee\u79e6\u594b\u548c\u5988\u5988\u5404\u662f\u591a\u5c11\u5c81\uff1f
\u6211\u4eec\u628a\u79e6\u594b\u7684\u5e74\u9f84\u4f5c\u4e3a1\u500d\uff0c\u201c\u5988\u5988\u7684\u5e74\u9f84\u662f\u79e6\u594b\u76844\u500d\u201d\uff0c\u8fd9\u6837\u79e6\u594b\u548c\u5988\u5988\u5e74\u9f84\u7684\u548c\u5c31\u76f8\u5f53\u4e8e\u79e6\u594b\u5e74\u9f84\u76845\u500d\u662f40\u5c81\uff0c\u4e5f\u5c31\u662f\uff084\uff0b1\uff09\u500d\uff0c\u4e5f\u53ef\u4ee5\u7406\u89e3\u4e3a5\u4efd\u662f40\u5c81\uff0c\u90a3\u4e48\u6c421\u500d\u662f\u591a\u5c11\uff0c\u63a5\u7740\u518d\u6c424\u500d\u662f\u591a\u5c11\uff1f
\uff081\uff09\u79e6\u594b\u548c\u5988\u5988\u5e74\u9f84\u500d\u6570\u548c\u662f\uff1a4\uff0b1\uff1d5\uff08\u500d\uff09
\uff082\uff09\u79e6\u594b\u7684\u5e74\u9f84\uff1a40\u00f75\uff1d8\u5c81
\uff083\uff09\u5988\u5988\u7684\u5e74\u9f84\uff1a8\u00d74\uff1d32\u5c81
\u7efc\u5408\uff1a40\u00f7\uff084\uff0b1\uff09\uff1d8\u5c81 8\u00d74\uff1d32\u5c81
\u4e3a\u4e86\u4fdd\u8bc1\u6b64\u9898\u7684\u6b63\u786e\uff0c\u9a8c\u8bc1
\uff081\uff098\uff0b32\uff1d40\u5c81 \uff082\uff0932\u00f78\uff1d4\uff08\u500d\uff09
\u8ba1\u7b97\u7ed3\u679c\u7b26\u5408\u6761\u4ef6\uff0c\u6240\u4ee5\u89e3\u9898\u6b63\u786e\u3002
2. \u7532\u4e59\u4e24\u67b6\u98de\u673a\u540c\u65f6\u4ece\u673a\u573a\u5411\u76f8\u53cd\u65b9\u5411\u98de\u884c\uff0c3\u5c0f\u65f6\u5171\u98de\u884c3600\u5343\u7c73\uff0c\u7532\u7684\u901f\u5ea6\u662f\u4e59\u76842\u500d\uff0c\u6c42\u5b83\u4eec\u7684\u901f\u5ea6\u5404\u662f\u591a\u5c11\uff1f
\u5df2\u77e5\u4e24\u67b6\u98de\u673a3\u5c0f\u65f6\u5171\u98de\u884c3600\u5343\u7c73\uff0c\u5c31\u53ef\u4ee5\u6c42\u51fa\u4e24\u67b6\u98de\u673a\u6bcf\u5c0f\u65f6\u98de\u884c\u7684\u822a\u7a0b\uff0c\u4e5f\u5c31\u662f\u4e24\u67b6\u98de\u673a\u7684\u901f\u5ea6\u548c\u3002\u770b\u56fe\u53ef\u77e5\uff0c\u8fd9\u4e2a\u901f\u5ea6\u548c\u76f8\u5f53\u4e8e\u4e59\u98de\u673a\u901f\u5ea6\u76843\u500d\uff0c\u8fd9\u6837\u5c31\u53ef\u4ee5\u6c42\u51fa\u4e59\u98de\u673a\u7684\u901f\u5ea6\uff0c\u518d\u6839\u636e\u4e59\u98de\u673a\u7684\u901f\u5ea6\u6c42\u51fa\u7532\u98de\u673a\u7684\u901f\u5ea6\u3002
\u7532\u4e59\u98de\u673a\u7684\u901f\u5ea6\u5206\u522b\u6bcf\u5c0f\u65f6\u884c800\u5343\u7c73\u3001400\u5343\u7c73\u3002
3. \u5f1f\u5f1f\u6709\u8bfe\u5916\u4e6620\u672c\uff0c\u54e5\u54e5\u6709\u8bfe\u5916\u4e6625\u672c\uff0c\u54e5\u54e5\u7ed9\u5f1f\u5f1f\u591a\u5c11\u672c\u540e\uff0c\u5f1f\u5f1f\u7684\u8bfe\u5916\u4e66\u662f\u54e5\u54e5\u76842\u500d\uff1f
\u601d\u8003\uff1a\uff081\uff09\u54e5\u54e5\u5728\u7ed9\u5f1f\u5f1f\u8bfe\u5916\u4e66\u524d\u540e\uff0c\u9898\u76ee\u4e2d\u4e0d\u53d8\u7684\u6570\u91cf\u662f\u4ec0\u4e48\uff1f
\uff082\uff09\u8981\u60f3\u6c42\u54e5\u54e5\u7ed9\u5f1f\u5f1f\u591a\u5c11\u672c\u8bfe\u5916\u4e66\uff0c\u9700\u8981\u77e5\u9053\u4ec0\u4e48\u6761\u4ef6\uff1f
\uff083\uff09\u5982\u679c\u628a\u54e5\u54e5\u5269\u4e0b\u7684\u8bfe\u5916\u4e66\u770b\u4f5c1\u500d\uff0c\u90a3\u4e48\u8fd9\u65f6\uff08\u54e5\u54e5\u7ed9\u5f1f\u5f1f\u8bfe\u5916\u4e66\u540e\uff09\u5f1f\u5f1f\u7684\u8bfe\u5916\u4e66\u53ef\u770b\u4f5c\u662f\u54e5\u54e5\u5269\u4e0b\u7684\u8bfe\u5916\u4e66\u7684\u51e0\u500d\uff1f
\u601d\u8003\u4ee5\u4e0a\u51e0\u4e2a\u95ee\u9898\u7684\u57fa\u7840\u4e0a\uff0c\u518d\u6c42\u54e5\u54e5\u5e94\u8be5\u7ed9\u5f1f\u5f1f\u591a\u5c11\u672c\u8bfe\u5916\u4e66\u3002\u6839\u636e\u6761\u4ef6\u9700\u8981\u5148\u6c42\u51fa\u54e5\u54e5\u5269\u4e0b\u591a\u5c11\u672c\u8bfe\u5916\u4e66\u3002\u5982\u679c\u6211\u4eec\u628a\u54e5\u54e5\u5269\u4e0b\u7684\u8bfe\u5916\u4e66\u770b\u4f5c1\u500d\uff0c\u90a3\u4e48\u8fd9\u65f6\u5f1f\u5f1f\u7684\u8bfe\u5916\u4e66\u53ef\u770b\u4f5c\u662f\u54e5\u54e5\u5269\u4e0b\u7684\u8bfe\u5916\u4e66\u76842\u500d\uff0c\u4e5f\u5c31\u662f\u5144\u5f1f\u4fe9\u5171\u6709\u7684\u500d\u6570\u76f8\u5f53\u4e8e\u54e5\u54e5\u5269\u4e0b\u7684\u8bfe\u5916\u4e66\u76843\u500d\uff0c\u800c\u5144\u5f1f\u4fe9\u4eba\u8bfe\u5916\u4e66\u7684\u603b\u6570\u59cb\u7ec8\u662f\u4e0d\u53d8\u7684\u6570\u91cf\u3002
\uff081\uff09\u5144\u5f1f\u4fe9\u5171\u6709\u8bfe\u5916\u4e66\u7684\u6570\u91cf\u662f20\uff0b25\uff1d45\u3002
\uff082\uff09\u54e5\u54e5\u7ed9\u5f1f\u5f1f\u82e5\u5e72\u672c\u8bfe\u5916\u4e66\u540e\uff0c\u5144\u5f1f\u4fe9\u5171\u6709\u7684\u500d\u6570\u662f2\uff0b1\uff1d3\u3002
\uff083\uff09\u54e5\u54e5\u5269\u4e0b\u7684\u8bfe\u5916\u4e66\u7684\u672c\u6570\u662f45\u00f73\uff1d15\u3002
\uff084\uff09\u54e5\u54e5\u7ed9\u5f1f\u5f1f\u8bfe\u5916\u4e66\u7684\u672c\u6570\u662f25\uff0d15\uff1d10\u3002
\u8bd5\u7740\u5217\u51fa\u7efc\u5408\u7b97\u5f0f\uff1a
4. \u7532\u4e59\u4e24\u4e2a\u7cae\u5e93\u539f\u6765\u5171\u5b58\u7cae170\u5428\uff0c\u540e\u6765\u4ece\u7532\u5e93\u8fd0\u51fa30\u5428\uff0c\u7ed9\u4e59\u5e93\u8fd0\u8fdb10\u5428\uff0c\u8fd9\u65f6\u7532\u5e93\u5b58\u7cae\u662f\u4e59\u5e93\u5b58\u7cae\u76842\u500d\uff0c\u4e24\u4e2a\u7cae\u5e93\u539f\u6765\u5404\u5b58\u7cae\u591a\u5c11\u5428\uff1f
\u6839\u636e\u7532\u4e59\u4e24\u4e2a\u7cae\u5e93\u539f\u6765\u5171\u5b58\u7cae170\u5428\uff0c\u540e\u6765\u4ece\u7532\u5e93\u8fd0\u51fa30\u5428\uff0c\u7ed9\u4e59\u5e93\u8fd0\u8fdb10\u5428\uff0c\u53ef\u6c42\u51fa\u8fd9\u65f6\u7532\u3001\u4e59\u4e24\u5e93\u5171\u5b58\u7cae\u591a\u5c11\u5428\u3002\u6839\u636e\u201c\u8fd9\u65f6\u7532\u5e93\u5b58\u7cae\u662f\u4e59\u5e93\u5b58\u7cae\u76842\u500d\u201d\uff0c\u5982\u679c\u8fd9\u65f6\u628a\u4e59\u5e93\u5b58\u7cae\u4f5c\u4e3a1\u500d\uff0c\u90a3\u4e48\u7532\u3001\u4e59\u5e93\u6240\u5b58\u7cae\u5c31\u76f8\u5f53\u4e8e\u4e59\u5b58\u7cae\u76843\u500d\u3002\u4e8e\u662f\u6c42\u51fa\u8fd9\u65f6\u4e59\u5e93\u5b58\u7cae\u591a\u5c11\u5428\uff0c\u8fdb\u800c\u53ef\u6c42\u51fa\u4e59\u5e93\u539f\u6765\u5b58\u7cae\u591a\u5c11\u5428\u3002\u6700\u540e\u5c31\u53ef\u6c42\u51fa\u7532\u5e93\u539f\u6765\u5b58\u7cae\u591a\u5c11\u5428\u3002
\u7532\u5e93\u539f\u5b58\u7cae130\u5428\uff0c\u4e59\u5e93\u539f\u5b58\u7cae40\u5428\u3002
\u5217\u65b9\u7a0b\u7ec4\u89e3\u5e94\u7528\u9898\uff08\u4e00\uff09
1. \u7528\u767d\u94c1\u76ae\u505a\u7f50\u5934\u76d2\uff0c\u6bcf\u5f20\u94c1\u76ae\u53ef\u5236\u76d2\u8eab16\u4e2a\uff0c\u6216\u5236\u76d2\u5e9543\u4e2a\uff0c\u4e00\u4e2a\u76d2\u8eab\u548c\u4e24\u4e2a\u76d2\u5e95\u914d\u6210\u4e00\u4e2a\u7f50\u5934\u76d2\uff0c\u73b0\u6709150\u5f20\u94c1\u76ae\uff0c\u7528\u591a\u5c11\u5f20\u5236\u76d2\u8eab\uff0c\u591a\u5c11\u5f20\u5236\u76d2\u5e95\uff0c\u624d\u80fd\u4f7f\u76d2\u8eab\u4e0e\u76d2\u5e95\u6b63\u597d\u914d\u5957\uff1f
\u4f9d\u636e\u9898\u610f\u53ef\u77e5\u8fd9\u4e2a\u9898\u6709\u4e24\u4e2a\u672a\u77e5\u91cf\uff0c\u4e00\u4e2a\u662f\u5236\u76d2\u8eab\u7684\u94c1\u76ae\u5f20\u6570\uff0c\u4e00\u4e2a\u662f\u5236\u76d2\u5e95\u7684\u94c1\u76ae\u5f20\u6570\uff0c\u8fd9\u6837\u5c31\u53ef\u4ee5\u7528\u4e24\u4e2a\u672a\u77e5\u6570\u8868\u793a\uff0c\u8981\u6c42\u51fa\u8fd9\u4e24\u4e2a\u672a\u77e5\u6570\uff0c\u5c31\u8981\u4ece\u9898\u76ee\u4e2d\u627e\u51fa\u4e24\u4e2a\u7b49\u91cf\u5173\u7cfb\uff0c\u5217\u51fa\u4e24\u4e2a\u65b9\u7a0b\uff0c\u7ec4\u5728\u4e00\u8d77\uff0c\u5c31\u662f\u65b9\u7a0b\u7ec4\u3002
\u4e24\u4e2a\u7b49\u91cf\u5173\u7cfb\u662f\uff1aA\u505a\u76d2\u8eab\u5f20\u6570+\u505a\u76d2\u5e95\u7684\u5f20\u6570=\u94c1\u76ae\u603b\u5f20\u6570
B\u5236\u51fa\u7684\u76d2\u8eab\u6570\u00d72=\u5236\u51fa\u7684\u76d2\u5e95\u6570
\u752886\u5f20\u767d\u94c1\u76ae\u505a\u76d2\u8eab\uff0c64\u5f20\u767d\u94c1\u76ae\u505a\u76d2\u5e95\u3002
\u5947\u6570\u4e0e\u5076\u6570\uff08\u4e00\uff09
\u5176\u5b9e\uff0c\u5728\u65e5\u5e38\u751f\u6d3b\u4e2d\u540c\u5b66\u4eec\u5c31\u5df2\u7ecf\u63a5\u89e6\u4e86\u5f88\u591a\u7684\u5947\u6570\u3001\u5076\u6570\u3002
\u51e1\u662f\u80fd\u88ab2\u6574\u9664\u7684\u6570\u53eb\u5076\u6570\uff0c\u5927\u4e8e\u96f6\u7684\u5076\u6570\u53c8\u53eb\u53cc\u6570\uff1b\u51e1\u662f\u4e0d\u80fd\u88ab2\u6574\u9664\u7684\u6570\u53eb\u5947\u6570\uff0c\u5927\u4e8e\u96f6\u7684\u5947\u6570\u53c8\u53eb\u5355\u6570\u3002
\u56e0\u4e3a\u5076\u6570\u662f2\u7684\u500d\u6570\uff0c\u6240\u4ee5\u901a\u5e38\u7528 \u8fd9\u4e2a\u5f0f\u5b50\u6765\u8868\u793a\u5076\u6570\uff08\u8fd9\u91cc \u662f\u6574\u6570\uff09\u3002\u56e0\u4e3a\u4efb\u4f55\u5947\u6570\u9664\u4ee52\u5176\u4f59\u6570\u90fd\u662f1\uff0c\u6240\u4ee5\u901a\u5e38\u7528\u5f0f\u5b50 \u6765\u8868\u793a\u5947\u6570\uff08\u8fd9\u91cc \u662f\u6574\u6570\uff09\u3002
\u5947\u6570\u548c\u5076\u6570\u6709\u8bb8\u591a\u6027\u8d28\uff0c\u5e38\u7528\u7684\u6709\uff1a
\u6027\u8d281 \u4e24\u4e2a\u5076\u6570\u7684\u548c\u6216\u8005\u5dee\u4ecd\u7136\u662f\u5076\u6570\u3002
\u4f8b\u5982\uff1a8+4=12\uff0c8-4=4\u7b49\u3002
\u4e24\u4e2a\u5947\u6570\u7684\u548c\u6216\u5dee\u4e5f\u662f\u5076\u6570\u3002
\u4f8b\u5982\uff1a9+3=12\uff0c9-3=6\u7b49\u3002
\u5947\u6570\u4e0e\u5076\u6570\u7684\u548c\u6216\u5dee\u662f\u5947\u6570\u3002
\u4f8b\u5982\uff1a9+4=13\uff0c9-4=5\u7b49\u3002
\u5355\u6570\u4e2a\u5947\u6570\u7684\u548c\u662f\u5947\uff0c\u53cc\u6570\u4e2a\u5947\u6570\u7684\u548c\u662f\u5076\u6570\uff0c\u51e0\u4e2a\u5076\u6570\u7684\u548c\u4ecd\u662f\u5076\u6570\u3002
\u6027\u8d282 \u5947\u6570\u4e0e\u5947\u6570\u7684\u79ef\u662f\u5947\u6570\u3002
\u5076\u6570\u4e0e\u6574\u6570\u7684\u79ef\u662f\u5076\u6570\u3002
\u6027\u8d283 \u4efb\u4f55\u4e00\u4e2a\u5947\u6570\u4e00\u5b9a\u4e0d\u7b49\u4e8e\u4efb\u4f55\u4e00\u4e2a\u5076\u6570\u3002
1. \u67095\u5f20\u6251\u514b\u724c\uff0c\u753b\u9762\u5411\u4e0a\u3002\u5c0f\u660e\u6bcf\u6b21\u7ffb\u8f6c\u5176\u4e2d\u76844\u5f20\uff0c\u90a3\u4e48\uff0c\u4ed6\u80fd\u5728\u7ffb\u52a8\u82e5\u5e72\u6b21\u540e\uff0c\u4f7f5\u5f20\u724c\u7684\u753b\u9762\u90fd\u5411\u4e0b\u5417\uff1f
\u540c\u5b66\u4eec\u53ef\u4ee5\u8bd5\u9a8c\u4e00\u4e0b\uff0c\u53ea\u6709\u5c06\u4e00\u5f20\u724c\u7ffb\u52a8\u5947\u6570\u6b21\uff0c\u624d\u80fd\u4f7f\u5b83\u7684\u753b\u9762\u7531\u5411\u4e0a\u53d8\u4e3a\u5411\u4e0b\u3002\u8981\u60f3\u4f7f5\u5f20\u724c\u7684\u753b\u9762\u90fd\u5411\u4e0b\uff0c\u90a3\u4e48\u6bcf\u5f20\u724c\u90fd\u8981\u7ffb\u52a8\u5947\u6570\u6b21\u3002
5\u4e2a\u5947\u6570\u7684\u548c\u662f\u5947\u6570\uff0c\u6240\u4ee5\u7ffb\u52a8\u7684\u603b\u5f20\u6570\u4e3a\u5947\u6570\u65f6\u624d\u80fd\u4f7f5\u5f20\u724c\u7684\u724c\u9762\u90fd\u5411\u4e0b\u3002\u800c\u5c0f\u660e\u6bcf\u6b21\u7ffb\u52a84\u5f20\uff0c\u4e0d\u7ba1\u7ffb\u591a\u5c11\u6b21\uff0c\u7ffb\u52a8\u7684\u603b\u5f20\u6570\u90fd\u662f\u5076\u6570\u3002
\u6240\u4ee5\u65e0\u8bba\u4ed6\u7ffb\u52a8\u591a\u5c11\u6b21\uff0c\u90fd\u4e0d\u80fd\u4f7f5\u5f20\u724c\u753b\u9762\u90fd\u5411\u4e0b\u3002
2. \u7532\u76d2\u4e2d\u653e\u6709180\u4e2a\u767d\u8272\u56f4\u68cb\u5b50\u548c181\u4e2a\u9ed1\u8272\u56f4\u68cb\u5b50\uff0c\u4e59\u76d2\u4e2d\u653e\u6709181\u4e2a\u767d\u8272\u56f4\u68cb\u5b50\uff0c\u674e\u5e73\u6bcf\u6b21\u4efb\u610f\u4ece\u7532\u76d2\u4e2d\u6478\u51fa\u4e24\u4e2a\u68cb\u5b50\uff0c\u5982\u679c\u4e24\u4e2a\u68cb\u5b50\u540c\u8272\uff0c\u4ed6\u5c31\u4ece\u4e59\u76d2\u4e2d\u62ff\u51fa\u4e00\u4e2a\u767d\u5b50\u653e\u5165\u7532\u76d2\uff1b\u5982\u679c\u4e24\u4e2a\u68cb\u5b50\u4e0d\u540c\u8272\uff0c\u4ed6\u5c31\u628a\u9ed1\u5b50\u653e\u56de\u7532\u76d2\u3002\u90a3\u4e48\u4ed6\u62ff\u591a\u5c11\u540e\uff0c\u7532\u76d2\u4e2d\u53ea\u5269\u4e0b\u4e00\u4e2a\u68cb\u5b50\uff0c\u8fd9\u4e2a\u68cb\u5b50\u662f\u4ec0\u4e48\u989c\u8272\u7684\uff1f
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\u5982\u679c\u4ed6\u62ff\u51fa\u7684\u662f\u4e24\u4e2a\u9ed1\u5b50\uff0c\u90a3\u4e48\u7532\u76d2\u4e2d\u7684\u9ed1\u5b50\u6570\u5c31\u51cf\u5c11\u4e24\u4e2a\u3002\u5426\u5219\u7532\u76d2\u5b50\u4e2d\u7684\u9ed1\u5b50\u6570\u4e0d\u53d8\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u674e\u5e73\u6bcf\u6b21\u4ece\u7532\u76d2\u5b50\u62ff\u51fa\u7684\u9ed1\u5b50\u6570\u90fd\u662f\u5076\u6570\u3002\u7531\u4e8e181\u662f\u5947\u6570\uff0c\u5947\u6570\u51cf\u5076\u6570\u7b49\u4e8e\u5947\u6570\u3002\u6240\u4ee5\uff0c\u7532\u76d2\u4e2d\u5269\u4e0b\u7684\u9ed1\u5b50\u6570\u5e94\u662f\u5947\u6570\uff0c\u800c\u4e0d\u5927\u4e8e1\u7684\u5947\u6570\u53ea\u67091\uff0c\u6240\u4ee5\u7532\u76d2\u91cc\u5269\u4e0b\u7684\u4e00\u4e2a\u68cb\u5b50\u5e94\u8be5\u662f\u9ed1\u5b50\u3002
\u5965\u8d5b\u4e13\u9898 -- \u79f0\u7403\u95ee\u9898
\u4f8b1 \u67094\u5806\u5916\u8868\u4e0a\u4e00\u6837\u7684\u7403\uff0c\u6bcf\u58064\u4e2a\u3002\u5df2\u77e5\u5176\u4e2d\u4e09\u5806\u662f\u6b63\u54c1\u3001\u4e00\u5806\u662f\u6b21\u54c1\uff0c\u6b63\u54c1\u7403\u6bcf\u4e2a\u91cd10\u514b\uff0c\u6b21\u54c1\u7403\u6bcf\u4e2a\u91cd11\u514b\uff0c\u8bf7\u4f60\u7528\u5929\u5e73\u53ea\u79f0\u4e00\u6b21\uff0c\u628a\u662f\u6b21\u54c1\u7684\u90a3\u5806\u627e\u51fa\u6765\u3002
\u89e3 \uff1a\u4f9d\u6b21\u4ece\u7b2c\u4e00\u3001\u4e8c\u3001\u4e09\u3001\u56db\u5806\u7403\u4e2d\uff0c\u5404\u53d61\u30012\u30013\u30014\u4e2a\u7403\uff0c\u8fd910\u4e2a\u7403\u4e00\u8d77\u653e\u5230\u5929\u5e73\u4e0a\u53bb\u79f0\uff0c\u603b\u91cd\u91cf\u6bd4100\u514b\u591a\u51e0\u514b\uff0c\u7b2c\u51e0\u5806\u5c31\u662f\u6b21\u54c1\u7403\u3002
2 \u670927\u4e2a\u5916\u8868\u4e0a\u4e00\u6837\u7684\u7403\uff0c\u5176\u4e2d\u53ea\u6709\u4e00\u4e2a\u662f\u6b21\u54c1\uff0c\u91cd\u91cf\u6bd4\u6b63\u54c1\u8f7b\uff0c\u8bf7\u4f60\u7528\u5929\u5e73\u53ea\u79f0\u4e09\u6b21\uff08\u4e0d\u7528\u781d\u7801\uff09\uff0c\u628a\u6b21\u54c1\u7403\u627e\u51fa\u6765\u3002
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\uff081\uff09\u82e5A=B\uff0c\u5219A\u3001B\u4e2d\u90fd\u662f\u6b63\u54c1\uff0c\u518d\u79f0B\u3001C\u3002\u5982B=C\uff0c\u663e\u7136D\u4e2d\u7684\u90a3\u4e2a\u7403\u662f\u6b21\u54c1\uff1b\u5982B\uff1eC\uff0c\u5219\u6b21\u54c1\u5728C\u4e2d\u4e14\u6b21\u54c1\u6bd4\u6b63\u54c1\u8f7b\uff0c\u518d\u5728C\u4e2d\u53d6\u51fa2\u4e2a\u7403\u6765\u79f0\uff0c\u4fbf\u53ef\u5f97\u51fa\u7ed3\u8bba\u3002\u5982B\uff1cC\uff0c\u4eff\u7167B\uff1eC\u7684\u60c5\u51b5\u4e5f\u53ef\u5f97\u51fa\u7ed3\u8bba\u3002
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\u5965\u8d5b\u4e13\u9898 -- \u62bd\u5c49\u539f\u7406
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[\u5206\u6790]\uff1a \u8fd9\u4e2a\u4f8b\u9898\u4e0e\u524d\u9762\u4f8b\u9898\u662f\u6709\u533a\u522b\u7684\uff0c\u6ca1\u6709\u7ed9\u51fa\u5b83\u4eec\u811a\u6570\u7684\u603b\u548c\uff0c\u800c\u662f\u7ed9\u51fa\u4e86\u5b83\u4eec\u811a\u6570\u7684\u5dee.\u8fd9\u53c8\u5982\u4f55\u89e3\u7b54\u5462\uff1f
\u5047\u8bbe100\u53ea\u5168\u662f\u9e21\uff0c\u90a3\u4e48\u811a\u7684\u603b\u6570\u662f2\u00d7100=200\uff08\u53ea\uff09\u8fd9\u65f6\u5154\u7684\u811a\u6570\u4e3a0\uff0c\u9e21\u811a\u6bd4\u5154\u811a\u591a200\u53ea\uff0c\u800c\u5b9e\u9645\u4e0a\u9e21\u811a\u6bd4\u5154\u811a\u591a80\u53ea.\u56e0\u6b64\uff0c\u9e21\u811a\u4e0e\u5154\u811a\u7684\u5dee\u6570\u6bd4\u5df2\u77e5\u591a\u4e86\uff08200-80\uff09=120\uff08\u53ea\uff09\uff0c\u8fd9\u662f\u56e0\u4e3a\u628a\u5176\u4e2d\u7684\u5154\u6362\u6210\u4e86\u9e21.\u6bcf\u628a\u4e00\u53ea\u5154\u6362\u6210\u9e21\uff0c\u9e21\u7684\u811a\u6570\u5c06\u589e\u52a02\u53ea\uff0c\u5154\u7684\u811a\u6570\u51cf\u5c114\u53ea.\u90a3\u4e48\uff0c\u9e21\u811a\u4e0e\u5154\u811a\u7684\u5dee\u6570\u589e\u52a0\uff082+4\uff09=6\uff08\u53ea\uff09\uff0c\u6240\u4ee5\u6362\u6210\u9e21\u7684\u5154\u5b50\u6709120\u00f76=20\uff08\u53ea\uff09.\u6709\u9e21\uff08100-20\uff09=80\uff08\u53ea\uff09\u3002
\u89e3\uff1a\uff082\u00d7100-80\uff09\u00f7\uff082+4\uff09=20\uff08\u53ea\uff09\u3002
100-20=80\uff08\u53ea\uff09\u3002
\u7b54\uff1a\u9e21\u4e0e\u5154\u5206\u522b\u670980\u53ea\u548c20\u53ea\u3002
\u4f8b3 \u7ea2\u82f1\u5c0f\u5b66\u4e09\u5e74\u7ea7\u67093\u4e2a\u73ed\u5171135\u4eba\uff0c\u4e8c\u73ed\u6bd4\u4e00\u73ed\u591a5\u4eba\uff0c\u4e09\u73ed\u6bd4\u4e8c\u73ed\u5c117\u4eba\uff0c\u4e09\u4e2a\u73ed\u5404\u6709\u591a\u5c11\u4eba\uff1f
[\u5206\u67901] \u6211\u4eec\u8bbe\u60f3\uff0c\u5982\u679c\u6761\u4ef6\u4e2d\u4e09\u4e2a\u73ed\u4eba\u6570\u540c\u6837\u591a\uff0c\u90a3\u4e48\uff0c\u8981\u6c42\u6bcf\u73ed\u6709\u591a\u5c11\u4eba\u5c31\u5f88\u5bb9\u6613\u4e86.\u7531\u6b64\u5f97\u5230\u542f\u793a\uff0c\u662f\u5426\u53ef\u4ee5\u901a\u8fc7\u5047\u8bbe\u4e09\u4e2a\u73ed\u4eba\u6570\u540c\u6837\u591a\u6765\u5206\u6790\u6c42\u89e3\u3002
\u7ed3\u5408\u4e0b\u56fe\u53ef\u4ee5\u60f3\uff0c\u5047\u8bbe\u4e8c\u73ed\u3001\u4e09\u73ed\u4eba\u6570\u548c\u4e00\u73ed\u4eba\u6570\u76f8\u540c\uff0c\u4ee5\u4e00\u73ed\u4e3a\u6807\u51c6\uff0c\u5219\u4e8c\u73ed\u4eba\u6570\u8981\u6bd4\u5b9e\u9645\u4eba\u6570\u5c115\u4eba.\u4e09\u73ed\u4eba\u6570\u8981\u6bd4\u5b9e\u9645\u4eba\u6570\u591a7-5=2\uff08\u4eba\uff09.\u90a3\u4e48\uff0c\u8bf7\u4f60\u7b97\u4e00\u7b97\uff0c\u5047\u8bbe\u4e8c\u73ed\u3001\u4e09\u73ed\u4eba\u6570\u548c\u4e00\u73ed\u4eba\u6570\u540c\u6837\u591a\uff0c\u4e09\u4e2a\u73ed\u603b\u4eba\u6570\u5e94\u8be5\u662f\u591a\u5c11\uff1f
\u89e3\u6cd51\uff1a
\u4e00\u73ed\uff1a[135-5+\uff087-5\uff09]\u00f73=132\u00f73
=44\uff08\u4eba\uff09
\u4e8c\u73ed\uff1a44+5=49\uff08\u4eba\uff09
\u4e09\u73ed\uff1a49-7=42\uff08\u4eba\uff09
\u7b54\uff1a\u4e09\u5e74\u7ea7\u4e00\u73ed\u3001 \u4e8c\u73ed\u3001\u4e09\u73ed\u5206\u522b\u670944\u4eba\u3001 49\u4eba\u548c 42\u4eba\u3002
[\u5206\u67902] \u5047\u8bbe\u4e00\u3001\u4e09\u73ed\u4eba\u6570\u548c\u4e8c\u73ed\u4eba\u6570\u540c\u6837\u591a\uff0c\u90a3\u4e48\uff0c\u4e00\u73ed\u4eba\u6570\u6bd4\u5b9e\u9645\u8981\u591a5\u4eba\uff0c\u800c\u4e09\u73ed\u8981\u6bd4\u5b9e\u9645\u4eba\u6570\u591a7\u4eba.\u8fd9\u65f6\u7684\u603b\u4eba\u6570\u53c8\u8be5\u662f\u591a\u5c11\uff1f
\u89e3\u6cd52\uff1a\uff08135+ 5+ 7\uff09\u00f73 = 147\u00f73 = 49\uff08\u4eba\uff09
49-5=44\uff08\u4eba\uff09\uff0c49-7=42\uff08\u4eba\uff09
\u7b54\uff1a\u4e09\u5e74\u7ea7\u4e00\u73ed\u3001\u4e8c\u73ed\u3001\u4e09\u73ed\u5206\u522b\u670944\u4eba\u300149\u4eba\u548c42\u4eba\u3002
\u4f8b4 \u5218\u8001\u5e08\u5e26\u4e8641\u540d\u540c\u5b66\u53bb\u5317\u6d77\u516c\u56ed\u5212\u8239\uff0c\u5171\u79df\u4e8610\u6761\u8239.\u6bcf\u6761\u5927\u8239\u57506\u4eba\uff0c\u6bcf\u6761\u5c0f\u8239\u57504\u4eba\uff0c\u95ee\u5927\u8239\u3001\u5c0f\u8239\u5404\u79df\u51e0\u6761\uff1f
[\u5206\u6790] \u6211\u4eec\u5206\u6b65\u6765\u8003\u8651\uff1a
\u2460\u5047\u8bbe\u79df\u7684 10\u6761\u8239\u90fd\u662f\u5927\u8239\uff0c\u90a3\u4e48\u8239\u4e0a\u5e94\u8be5\u5750 6\u00d710= 60\uff08\u4eba\uff09\u3002
\u2461\u5047\u8bbe\u540e\u7684\u603b\u4eba\u6570\u6bd4\u5b9e\u9645\u4eba\u6570\u591a\u4e86 60-\uff0841+1\uff09=18\uff08\u4eba\uff09\uff0c\u591a\u7684\u539f\u56e0\u662f\u628a\u5c0f\u8239\u5750\u76844\u4eba\u90fd\u5047\u8bbe\u6210\u57506\u4eba\u3002
\u2462\u4e00\u6761\u5c0f\u8239\u5f53\u6210\u5927\u8239\u591a\u51fa2\u4eba\uff0c\u591a\u51fa\u768418\u4eba\u662f\u628a18\u00f72=9\uff08\u6761\uff09\u5c0f\u8239\u5f53\u6210\u5927\u8239\u3002
\u89e3\uff1a[6\u00d710-(41+1\uff09\u00f7\uff086-4\uff09
= 18\u00f72=9\uff08\u6761\uff09 10-9=1\uff08\u6761\uff09
\u7b54\uff1a\u67099\u6761\u5c0f\u8239\uff0c1\u6761\u5927\u8239\u3002
\u4f8b5 \u6709\u8718\u86db\u3001\u873b\u8713\u3001\u8749\u4e09\u79cd\u52a8\u7269\u517118\u53ea\uff0c\u5171\u6709\u817f118\u6761\uff0c\u7fc5\u818020\u5bf9\uff08\u8718\u86db8\u6761\u817f\uff1b\u873b\u87136\u6761\u817f\uff0c\u4e24\u5bf9\u7fc5\u8180\uff1b\u87496\u6761\u817f\uff0c\u4e00\u5bf9\u7fc5\u8180\uff09\uff0c\u6c42\u873b\u8713\u6709\u591a\u5c11\u53ea\uff1f
[\u5206\u6790] \u8fd9\u662f\u5728\u9e21\u5154\u540c\u7b3c\u57fa\u7840\u4e0a\u53d1\u5c55\u53d8\u5316\u7684\u95ee\u9898.\u89c2\u5bdf\u6570\u5b57\u7279\u70b9\uff0c\u873b\u8713\u3001\u8749\u90fd\u662f6\u6761\u817f\uff0c\u53ea\u6709\u8718\u86db8\u6761\u817f.\u56e0\u6b64\uff0c\u53ef\u5148\u4ece\u817f\u6570\u5165\u624b\uff0c\u6c42\u51fa\u8718\u86db\u7684\u53ea\u6570.\u6211\u4eec\u5047\u8bbe\u4e09\u79cd\u52a8\u7269\u90fd\u662f6\u6761\u817f\uff0c\u5219\u603b\u817f\u6570\u4e3a 6\u00d718=108\uff08\u6761\uff09\uff0c\u6240\u5dee 118-108=10\uff08\u6761\uff09\uff0c\u5fc5\u7136\u662f\u7531\u4e8e\u5c11\u7b97\u4e86\u8718\u86db\u7684\u817f\u6570\u800c\u9020\u6210\u7684.\u6240\u4ee5\uff0c\u5e94\u6709\uff08118-108\uff09\u00f7\uff088-6\uff09=5\uff08\u53ea\uff09\u8718\u86db.\u8fd9\u6837\u5269\u4e0b\u768418-5=13\uff08\u53ea\uff09\u4fbf\u662f\u873b\u8713\u548c\u8749\u7684\u53ea\u6570.\u518d\u4ece\u7fc5\u8180\u6570\u5165\u624b\uff0c\u5047\u8bbe13\u53ea\u90fd\u662f\u8749\uff0c\u5219\u603b\u7fc5\u8180\u65701\u00d713=13\uff08\u5bf9\uff09\uff0c\u6bd4\u5b9e\u9645\u6570\u5c11 20-13\uff1d7\uff08\u5bf9\uff09\uff0c\u8fd9\u662f\u7531\u4e8e\u873b\u8713\u6709\u4e24\u5bf9\u7fc5\u8180\uff0c\u800c\u6211\u4eec\u53ea\u6309\u4e00\u5bf9\u7fc5\u8180\u8ba1\u7b97\u6240\u5dee\uff0c\u8fd9\u6837\u873b\u8713\u53ea\u6570\u53ef\u6c427\u00f7\uff082-1\uff09=7\uff08\u53ea\uff09.
\u89e3\uff1a\u2460\u5047\u8bbe\u8718\u86db\u4e5f\u662f6\u6761\u817f\uff0c\u4e09\u79cd\u52a8\u7269\u5171\u6709\u591a\u5c11\u6761\u817f\uff1f
6\u00d718=108\uff08\u6761\uff09
\u2461\u6709\u8718\u86db\u591a\u5c11\u53ea\uff1f
\uff08118-108\uff09\u00f7\uff088-6\uff09=5\uff08\u53ea\uff09
\u2462\u873b\u8712\u3001\u8749\u5171\u6709\u591a\u5c11\u53ea\uff1f
18-5=13\uff08\u53ea\uff09
\u2463\u5047\u8bbe\u873b\u8712\u4e5f\u662f\u4e00\u5bf9\u7fc5\u8180\uff0c\u5171\u6709\u591a\u5c11\u5bf9\u7fc5\u8180\uff1f1\u00d713=13\uff08\u5bf9\uff09
\u2464\u873b\u8712\u591a\u5c11\u53ea\uff1f
\uff0820-13\uff09\u00f7 2-1\uff09= 7\uff08\u53ea\uff09
\u7b54\uff1a\u873b\u8712\u67097\u53ea.
解答：所成立方体的棱长为：120÷(3+2)÷4=6(厘米)，所以原长方体的体积为：6×6×(6+3+2)=396(立方厘米)。
2、（第六届“迎春杯”决赛）一个长方体的各条棱长的和是48厘米，并且它的长是宽的2倍，高与宽相等，那么这个长方体的体积是______ 立方厘米．
解答：依题意，这个长方体的长、宽、高之和是48÷4=12(厘米)，于是它的宽与高都等于12÷(2+1+1)=3(厘米)，它的长是3× 2=6厘米．所以这个长方体的体积是6×3×3=54(立方厘米)．
3、（第十届迎春杯刊赛）一个长方体的表面积是33.66平方分米，其中一个面的长是2.3分米，宽是2.1分米，它的体积是_____立方分米.（结果以分数形式出现）
解答：长方体的高是： (33.66-2.1×2.3×2)÷2÷(2.1+2.3)= 30/11(分米).
长方体的体积是2.1×2.3 × = (立方分米)．
4、 在棱长为3cm的正方体木块的每个面的中心上打一个直穿木块的洞，洞口呈边长为1cm的正方形（见右图）。求挖洞后木块的体积。
解答：33-12×3×3+2×13=20cm3。
5、3．（第三届华杯赛复赛）如图，从长为13厘米，宽为9厘米的长方形硬纸板的四角去掉边长为2厘米的正方形，然后沿虚线折叠成长方体容器．这个容器的体积是多少立方厘米?
解答：容器的底面积是：(13—4)×(9—4)=45(平方厘米)，高为2厘米，所以容器的体积是：45×2=90(立方厘米)．
有若干个苹果和梨，苹果的个数是梨的个数的2倍。如果每天吃2个梨和6个苹果。梨吃完时还缺20个苹果，梨有多少个？
题可以，答案吧自己写。
绛旓細瑙ｇ瓟锛氭墍鎴愮珛鏂逛綋鐨勬１闀夸负锛120梅(3+2)梅4=6(鍘樼背)锛屾墍浠ュ師闀挎柟浣撶殑浣撶Н涓猴細6脳6脳(6+3+2)=396(绔嬫柟鍘樼背)銆2銆侊紙绗叚灞娾滆繋鏄ユ澂鈥濆喅璧涳級涓涓暱鏂逛綋鐨勫悇鏉℃１闀跨殑鍜屾槸48鍘樼背锛屽苟涓斿畠鐨勯暱鏄鐨2鍊嶏紝楂樹笌瀹界浉绛夛紝閭ｄ箞杩欎釜闀挎柟浣撶殑浣撶Н鏄痏__ 绔嬫柟鍘樼背锛庤В绛旓細渚濋鎰忥紝杩欎釜闀挎柟浣撶殑闀裤...
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绛旓細銆21y+8x=12x+9y 4x=12y x=3y 鎵浠ユ懇鎵樿溅鍏遍渶12+9/3=15灏忔椂 鏁板嚭鍥句腑鍚湁"*"鍙风殑闀挎柟褰釜鏁(鍚竴涓垨浜屼釜閮藉彲浠)绗1棰樺効瀛愮畻鍑烘潵鏄8+16+8=32涓,绛旀鍗存槸30涓.绗2棰樺効瀛愮畻鍑烘潵鏄(12+24+24+12)*2,鐒跺悗鍑忓幓2*閲嶅鐨,9+18+9=36,绛旀璇村簲璇ュ噺鍘48涓,涓轰粈涔堝憿?
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