六年级数学难题（练习题，附答案） 六年级数学趣味智力题（附上答案）

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\u7531\u80fd\u88ab25\u6574\u9664\u7684\u6570\u7684\u7279\u5f81\uff08\u672b\u4e24\u4f4d\u6570\u80fd\u88ab25\u6574\u9664\uff09\u77e5\uff0c\u4fee\u6539\u540e\u7684\u516d\u4f4d\u6570\u7684\u672b\u4e24\u4f4d\u6570\u53ef\u80fd\u662f25\uff0c\u621675.

\u518d\u636e\u80fd\u88ab9\u6574\u9664\u7684\u6570\u7684\u7279\u5f81\uff08\u5404\u4f4d\u4e0a\u7684\u6570\u5b57\u4e4b\u548c\u80fd\u88ab9\u6574\u9664\uff09\u68c0\u9a8c\uff0c\u5f979\uff0b7+0\uff0b4\uff0b5\uff1d25\uff0c25\uff0b2\uff1d27\uff0c25\uff0b7=32.

\u6545\u77e5\uff0c\u4fee\u6539\u540e\u7684\u516d\u4f4d\u6570\u662f970425.



7. \u5728\u4e09\u4f4d\u6570\u4e2d\uff0c\u4e2a\u4f4d\u3001\u5341\u4f4d\u3001\u767e\u4f4d\u90fd\u662f\u4e00\u4e2a\u6570\u7684\u5e73\u65b9\u7684\u5171\u6709 \u4e2a\u3002
\u3010\u7b54\u6848\u301148
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3\u00d74\u00d74\uff1d48\uff08\u4e2a\uff09\u3002

12. \u5df2\u77e5\u4e09\u4f4d\u6570\u7684\u5404\u4f4d\u6570\u5b57\u4e4b\u79ef\u7b49\u4e8e10\uff0c\u5219\u8fd9\u6837\u7684\u4e09\u4f4d\u6570\u7684\u4e2a\u6570\u662f _____ \u4e2a.
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12. \u4e0b\u56fe\u4e2d\u6709\u4e94\u4e2a\u4e09\u89d2\u5f62\uff0c\u6bcf\u4e2a\u5c0f\u4e09\u89d2\u5f62\u4e2d\u7684\u4e09\u4e2a\u6570\u7684\u548c\u90fd\u7b49\u4e8e50\uff0c\u5176\u4e2dA7\uff1d25\uff0cA1\uff0bA2\uff0bA3\uff0bA4\uff1d74\uff0cA9\uff0bA3\uff0bA5\uff0bA10\uff1d76\uff0c\u90a3\u4e48A2\u4e0eA5\u7684\u548c\u662f\u591a\u5c11\uff1f

\u3010\u7b54\u6848\u301125



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A9+A2+A3\uff1d50\uff0c
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A10+A5+A6\uff1d50\uff0c
A7+A8+A6\uff1d50\uff0c
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\u5373(A1+A2+A3+A4)+(A9+A3+A5+A10)+A2+A5+2A6+2A8+ A7\uff1d250.
\u670974+76+A2+A5+2(A6+A8) + A7\uff1d250\uff0c\u800c\u4e09\u89d2\u5f62A6A7A8\u4e2d\u6709A6+A7+A8\uff1d50\uff0c\u5176\u4e2dA7\uff1d25\uff0c\u6240\u4ee5A6+A8\uff1d50\uff0d25\uff1d25.
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\u518d\u770b\u7b2c3\u4e2a\u6570\uff0c\u5728\u52a0\u4e24\u6761\u76f4\u7ebf\u7b2c1\u30012\u30013\u30014\u4e2a\u6570\u548c\u7b2c9\u30013\u30015\u300110\u4e2a\u6570\u65f6\uff0c\u91cd\u590d\u7b97\u5230\u7b2c3\u4e2a\u6570\uff0c
\u597d\u620f\u5f00\u6f14\uff1a
74+76+50\uff0b25+\u7b2c2\u4e2a\u6570\uff0b\u7b2c5\u4e2a\u6570\uff1d50\u00d75
\u6240\u4ee5 \u7b2c2\u4e2a\u6570\uff0b\u7b2c5\u4e2a\u6570\uff1d25






\u4e00\u3001\u586b\u7a7a\u9898\uff1a
1 \u6ee1\u8db3\u4e0b\u5f0f\u7684\u586b\u6cd5\u5171\u6709 \u79cd?
\u53e3\u53e3\u53e3\u53e3-\u53e3\u53e3\u53e3=\u53e3\u53e3
\u3010\u7b54\u6848\u30114905\u3002
\u3010\u89e3\u3011\u7531\u53f3\u5f0f\u77e5\uff0c\u672c\u9898\u76f8\u5f53\u4e8e\u6c42\u4e24\u4e2a\u4e24\u4f4d\u6570a\u4e0eb\u4e4b\u548c\u4e0d\u5c0f\u4e8e100\u7684\u7b97\u5f0f\u6709\u591a\u5c11\u79cd\u3002
a=10\u65f6\uff0cb\u572890 99\u4e4b\u95f4\uff0c\u670910\u79cd\uff1b


a=11\u65f6\uff0cb\u572889 99\u4e4b\u95f4\uff0c\u670911\u79cd\uff1b
\u2026\u2026
a=99\u65f6\uff0cb\u57281 99\u4e4b\u95f4\uff0c\u670999\u79cd\u3002\u5171\u6709
10+11+12+\u2026\u202699=4905(\u79cd)\u3002
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4 \u5728\u8db3\u7403\u8868\u9762\u6709\u4e94\u8fb9\u5f62\u548c\u516d\u8fb9\u5f62\u56fe\u6848(\u89c1\u53f3\u4e0a\u56fe)\uff0c\u6bcf\u4e2a\u4e94\u8fb9\u5f62\u4e0e5\u4e2a\u516d\u8fb9\u5f62\u76f8\u8fde\uff0c\u6bcf\u4e2a\u516d\u8fb9\u5f62\u4e0e3\u4e2a\u4e94\u8fb9\u5f62\u76f8\u8fde\u3002\u90a3\u4e48\u4e94\u8fb9\u5f62\u548c\u516d\u8fb9\u5f62\u7684\u6700\u7b80\u6574\u6570\u6bd4\u662f_______ \u3002
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1\uff0e\u5c0f\u7ea2\u5230\u5546\u5e97\u4e70\u4e00\u76d2\u82b1\u7403\uff0c\u4e00\u76d2\u767d\u7403\uff0c\u4e24\u76d2\u7403\u7684\u6570\u91cf\u76f8\u7b49\uff0c\u82b1\u7403\u539f\u4ef7\u662f2\u5143\u94b13\u4e2a\uff0c\u767d\u7403\u539f\u4ef7\u662f2\u5143\u94b15\u4e2a\uff0e\u65b0\u5e74\u4f18\u60e0\uff0c\u4e24\u79cd\u7403\u7684\u552e\u4ef7\u90fd\u662f4\u5143\u94b18\u4e2a\uff0c\u7ed3\u679c\u5c0f\u7ea2\u5c11\u82b1\u4e865\u5143\u94b1\uff0c\u90a3\u4e48\uff0c\u5979\u4e00\u5171\u4e70\u4e86\u591a\u5c11\u4e2a\u7403\uff1f
\u3010\u7b54\u6848\u3011150\u4e2a
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\u5bb9\u6613\u5f97\uff0c
\u89e3\u5f97:
\u6240\u4ee5 2x=150

2\uff0e22\u540d\u5bb6\u957f\uff08\u7238\u7238\u6216\u5988\u5988\uff0c\u4ed6\u4eec\u90fd\u4e0d\u662f\u8001\u5e08\uff09\u548c\u8001\u5e08\u966a\u540c\u4e00\u4e9b\u5c0f\u5b66\u751f\u53c2\u52a0\u67d0\u6b21\u6570\u5b66\u7ade\u8d5b\uff0c\u5df2\u77e5\u5bb6\u957f\u6bd4\u8001\u5e08\u591a\uff0c\u5988\u5988\u6bd4\u7238\u7238\u591a\uff0c\u5973\u8001\u5e08\u6bd4\u5988\u5988\u591a2\u4eba\uff0c\u81f3\u5c11\u6709\u4e00\u540d\u7537\u8001\u5e08\uff0c\u90a3\u4e48\u5728\u8fd922\u4eba\u4e2d\uff0c\u5171\u6709\u7238\u7238\u591a\u5c11\u4eba\uff1f
\u3010\u7b54\u6848\u30115\u4eba
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\u6b63\u53cd\u7ed3\u5408\u8ba8\u8bba\u7684\u65b9\u6cd5\u4e5f\u6709\u4f53\u73b0\u3002


3\uff0e\u7532\u3001\u4e59\u3001\u4e19\u4e09\u4eba\u73b0\u5728\u5c81\u6570\u7684\u548c\u662f113\u5c81\uff0c\u5f53\u7532\u7684\u5c81\u6570\u662f\u4e59\u7684\u5c81\u6570\u7684\u4e00\u534a\u65f6\uff0c\u4e19\u662f38\u5c81\uff0c\u5f53\u4e59\u7684\u5c81\u6570\u662f\u4e19\u7684\u5c81\u6570\u7684\u4e00\u534a\u65f6\uff0c\u7532\u662f17\u5c81\uff0c\u90a3\u4e48\u4e59\u73b0\u5728\u662f\u591a\u5927\u5c81\u6570\uff1f
\u3010\u7b54\u6848\u301132\u5c81
\u3010\u89e3\u3011\u5982\u56fe\u3002

\u8bbe\u8fc7x\u5e74\uff0c\u753217\u5c81\uff0c\u5f97\uff1a

\u89e3\u5f97 x=10,
\u67d0\u4e2a\u65f6\u5019\uff0c\u753217-10=7\u5c81\uff0c\u4e597\u00d72=14\u5c81\uff0c\u4e1938\u5c81\uff0c\u5e74\u9f84\u548c\u4e3a59\u5c81\uff0c
\u6240\u4ee5\u5230\u73b0\u5728\u6bcf\u4eba\u8fd8\u8981\u52a0\u4e0a\uff08113-59\uff09\u00f73=18\uff08\u5c81\uff09
\u6240\u4ee5\u4e59\u73b0\u572814+18=32\uff08\u5c81\uff09\u3002

7. \u7532\u3001\u4e59\u4e24\u73ed\u7684\u5b66\u751f\u4eba\u6570\u76f8\u7b49\uff0c\u5404\u6709\u4e00\u4e9b\u5b66\u751f\u53c2\u52a0\u6570\u5b66\u9009\u4fee\u8bfe\uff0c\u7532\u73ed\u53c2\u52a0\u6570\u5b66\u9009\u4fee\u8bfe\u7684\u4eba\u6570\u6070\u597d\u662f\u4e59\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u76841/3\uff0c\u4e59\u73ed\u53c2\u52a0\u6570\u5b66\u9009\u4fee\u8bfe\u7684\u4eba\u6570\u6070\u597d\u662f\u7532\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u76841/4\u3002\u90a3\u4e48\u7532\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u662f\u4e59\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u7684\u51e0\u5206\u4e4b\u51e0?
\u3010\u7b54\u6848\u3011
\u3010\u89e3\u3011\uff1a\u8bbe\u7532\u73ed\u6ca1\u53c2\u52a0\u7684\u662f4x\u4eba\uff0c\u4e59\u73ed\u6ca1\u53c2\u52a0\u7684\u662f3y\u4eba
\u90a3\u4e48\u7532\u73ed\u53c2\u52a0\u7684\u4eba\u6570\u662fy\u4eba\uff0c\u4e59\u73ed\u53c2\u52a0\u7684\u4eba\u6570\u662fx\u4eba
\u6839\u636e\u6761\u4ef6\u4e24\u73ed\u4eba\u6570\u76f8\u7b49\uff0c\u6240\u4ee54x+y=3y+x
3x=2y x:y=2:3
\u56e0\u6b644x:3y=8:9 \u6545\u90a3\u4e48\u7532\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u662f\u4e59\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u7684
\u3010\u53e6\u89e3\u3011\u5217\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff1a\u53ef\u5047\u8bbe\u4e24\u73ed\u4eba\u6570\u90fd\u4e3a\u201c1\u201d\uff0c\u8bbe\u7532\u73ed\u53c2\u52a0\u7684\u4e3ax\uff0c\u5219\u7532\u73ed\u672a\u53c2\u52a0\u7684\u4e3a\uff081-x\uff09\uff1b\u5219\u4e59\u73ed\u672a\u53c2\u52a0\u7684\u4e3a3x\uff0c\u5219\u4e59\u73ed\u53c2\u52a0\u7684\u4e3a\uff081-3x\uff09,\u53ef\u5217\u65b9\u7a0b\uff1a\uff081-x\uff09/4=1-3x \u6c42x=3/11\u3002
\u3010\u63d0\u793a\u3011\u65b9\u7a0b\u6f14\u7b97\u3001\u8bbe\u800c\u4e0d\u6c42\u3001\u91cf\u5316\u601d\u60f3\u90fd\u6709\u4e86\uff0c\u8fd9\u9053\u9898\u4e0d\u9519\u3002


\u76ee\u6807\u73ed
\u540d\u6821\u771f\u5377\u4e03
\u4e00\u3001\u586b\u7a7a\u9898\uff1a
31 \u6ee1\u8db3\u4e0b\u5f0f\u7684\u586b\u6cd5\u5171\u6709 \u79cd?
\u53e3\u53e3\u53e3\u53e3-\u53e3\u53e3\u53e3=\u53e3\u53e3

\u3010\u7b54\u6848\u30114905\u3002


\u3010\u89e3\u3011\u7531\u53f3\u5f0f\u77e5\uff0c\u672c\u9898\u76f8\u5f53\u4e8e\u6c42\u4e24\u4e2a\u4e24\u4f4d\u6570a\u4e0eb\u4e4b\u548c\u4e0d\u5c0f\u4e8e100\u7684\u7b97\u5f0f\u6709\u591a\u5c11\u79cd\u3002
a=10\u65f6\uff0cb\u572890 99\u4e4b\u95f4\uff0c\u670910\u79cd\uff1b
a=11\u65f6\uff0cb\u572889 99\u4e4b\u95f4\uff0c\u670911\u79cd\uff1b
\u2026\u2026
a=99\u65f6\uff0cb\u57281 99\u4e4b\u95f4\uff0c\u670999\u79cd\u3002\u5171\u6709
10+11+12+\u2026\u202699=4905(\u79cd)\u3002
\u3010\u63d0\u793a\u3011\u7b97\u5f0f\u8c1c\u8ddf\u8ba1\u6570\u95ee\u9898\u7ed3\u5408\uff0c\u672c\u9898\u662f\u4e00\u4f8b\u3002\u6570\u5b66\u6a21\u578b\u7684\u7c7b\u6bd4\u8054\u60f3\u662f\u89e3\u9898\u5173\u952e\u3002



34 \u5728\u8db3\u7403\u8868\u9762\u6709\u4e94\u8fb9\u5f62\u548c\u516d\u8fb9\u5f62\u56fe\u6848(\u89c1\u53f3\u4e0a\u56fe)\uff0c\u6bcf\u4e2a\u4e94\u8fb9\u5f62\u4e0e5\u4e2a\u516d\u8fb9\u5f62\u76f8\u8fde\uff0c\u6bcf\u4e2a\u516d\u8fb9\u5f62\u4e0e3\u4e2a\u4e94\u8fb9\u5f62\u76f8\u8fde\u3002\u90a3\u4e48\u4e94\u8fb9\u5f62\u548c\u516d\u8fb9\u5f62\u7684\u6700\u7b80\u6574\u6570\u6bd4\u662f_______ \u3002
\u3010\u7b54\u6848\u30113\u22365\u3002
\u3010\u89e3\u3011\u8bbe\u6709X\u4e2a\u4e94\u8fb9\u5f62\u3002\u6bcf\u4e2a\u4e94\u8fb9\u5f62\u4e0e5\u4e2a\u516d\u8fb9\u5f62\u76f8\u8fde\uff0c\u8fd9\u6837\u5e94\u8be5\u67095X\u4e2a\u516d\u8fb9\u5f62\uff0c\u53ef\u662f\u6bcf\u4e2a\u516d\u8fb9\u5f62\u4e0e3\u4e2a\u4e94\u8fb9\u5f62\u76f8\u8fde\uff0c\u5373\u6bcf\u4e2a\u516d\u8fb9\u5f62\u88ab\u6570\u4e863\u904d\uff0c\u6240\u4ee5\u516d\u8fb9\u5f62\u6709 \u4e2a\u3002


36 \u7528\u65b9\u683c\u7eb8\u526a\u6210\u9762\u79ef\u662f4\u7684\u56fe\u5f62\uff0c\u5176\u5f62\u72b6\u53ea\u80fd\u6709\u4ee5\u4e0b\u4e03\u79cd\uff1a

\u5982\u679c\u7528\u5176\u4e2d\u7684\u56db\u79cd\u62fc\u6210\u4e00\u4e2a\u9762\u79ef\u662f16\u7684\u6b63\u65b9\u5f62\uff0c\u90a3\u4e48\uff0c\u8fd9\u56db\u79cd\u56fe\u5f62\u7684\u7f16\u53f7\u548c\u7684\u6700\u5927\u503c\u662f______\uff0e
\u3010\u7b54\u6848\u301119.
\u3010\u89e3\u3011\u4e3a\u4e86\u5f97\u5230\u7f16\u53f7\u548c\u7684\u6700\u5927\u503c\uff0c\u5e94\u5148\u5229\u7528\u7f16\u53f7\u5927\u7684\u56fe\u5f62\uff0c\u4e8e\u662f\uff0c\u53ef\u4ee5\u62fc\u51fa\uff0c\u7531\uff1a(7)\uff0c(6)\uff0c(5)\uff0c(1)\uff1b(7)\uff0c(6)\uff0c(4)\uff0c(1)\uff1b(7)\uff0c(6)\uff0c(3)\uff0c(1)\u7ec4\u6210\u7684\u9762\u79ef\u662f16\u7684\u6b63\u65b9\u5f62\uff1a

\u663e\u7136\uff0c\u7f16\u53f7\u548c\u6700\u5927\u7684\u662f\u56fe1\uff0c\u7f16\u53f7\u548c\u4e3a7\uff0b6\uff0b5\uff0b1\uff1d19\uff0c\u518d\u9a8c\u8bc1\u4e00\u4e0b\uff0c\u5e76\u65e0\u5176\u5b83\u62fc\u6cd5\uff0e
\u3010\u63d0\u793a\u3011\u6ce8\u610f\u4ece\u7ed3\u679c\u5165\u624b\u7684\u601d\u8003\u65b9\u6cd5\u3002\u6211\u4eec\u753b\u51fa\u9762\u79ef16\u7684\u6b63\u65b9\u5f62\uff0c\u5148\u6d82\u4e0a\u9634\u5f71\uff086\uff09\uff087\uff09\uff0c\u518d\u6d82\u51fa\uff085\uff09\uff0c\u7ecf\u8fc7\u9002\u5f53\u53d8\u6362\uff0c\u53ef\u77e5\uff0c\u53ea\u80fd\u5229\u7528\uff081\uff09\u4e86\u3002
\u800c\u5176\u5b83\u60c5\u51b5\uff0c\u7528\u4e0a\uff086\uff09\uff087\uff09\uff0c\u548c\uff084\uff09\uff0c\u5219\u53ea\u8981\u8003\u8651\uff083\uff09\uff085\uff09\u8fd9\u4e24\u79cd\u60c5\u51b5\u662f\u5426\u53ef\u4ee5\u3002
40 \u8bbe\u4e0a\u9898\u7b54\u6570\u662fa\uff0ca\u7684\u4e2a\u4f4d\u6570\u5b57\u662fb\uff0e\u4e03\u4e2a\u5706\u5185\u586b\u5165\u4e03\u4e2a\u8fde\u7eed\u81ea\u7136\u6570\uff0c\u4f7f\u6bcf\u4e24\u4e2a\u76f8\u90bb\u5706\u5185\u7684\u6570\u4e4b\u548c\u7b49\u4e8e\u8fde\u7ebf\u4e0a\u7684\u5df2\u77e5\u6570\uff0c\u90a3\u4e48\u5199A\u7684\u5706\u5185\u5e94\u586b\u5165_______\uff0e



\u3010\u7b54\u6848\u3011A\uff1d6
\u3010\u89e3\u3011\u5982\u56fe\u6240\u793a\uff1a
B\uff1dA\uff0d4,


C\uff1dB\uff0b3\uff0c\u6240\u4ee5C\uff1dA\uff0d1;
D=C\uff0b3\uff0c\u6240\u4ee5D\uff1dA\uff0b2;
\u800cA \uff0bD \uff1d14;
\u6240\u4ee5A\uff1d\uff0814\uff0d2\uff09\u00f72\uff1d6.
\u3010\u63d0\u793a\u3011\u672c\u9898\u8981\u70b9\u5728\u4e8e\u63a8\u5bfc\u9694\u4e00\u4e2a\u5706\u7684\u4e24\u4e2a\u5706\u7684\u5dee\uff0c
\u4ece\u800c\u5f97\u5230\u6700\u540e\u7684\u548c\u5dee\u5173\u7cfb\u6765\u89e3\u9898\u3002

43 \u67d0\u4e2a\u81ea\u7136\u6570\u88ab187\u9664\u4f5952\uff0c\u88ab188\u9664\u4e5f\u4f5952\uff0c\u90a3\u4e48\u8fd9\u4e2a\u81ea\u7136\u6570\u88ab22\u9664\u7684\u4f59\u6570\u662f_______\uff0e
\u3010\u7b54\u6848\u30118
\u3010\u89e3\u3011\u8fd9\u4e2a\u81ea\u7136\u6570\u51cf\u53bb52\u540e\uff0c\u5c31\u80fd\u88ab187\u548c188\u6574\u9664\uff0c\u4e3a\u4e86\u8bf4\u660e\u65b9\u4fbf\uff0c\u8fd9\u4e2a\u81ea\u7136\u6570\u51cf\u53bb52\u540e\u6240\u5f97\u7684\u6570\u7528M\u8868\u793a\uff0c\u56e0187\uff1d17\u00d711\uff0c\u6545M\u80fd\u88ab11\u6574\u9664\uff1b\u56e0M\u80fd\u88ab188\u6574\u9664\uff0c\u6545\uff0cM\u4e5f\u80fd\u88ab2\u6574\u9664\uff0c\u6240\u4ee5\uff0cM\u4e5f\u80fd\u88ab11\u00d72\uff1d22\u6574\u9664\uff0c\u539f\u6765\u7684\u81ea\u7136\u6570\u662fM\uff0b52\uff0c\u56e0\u4e3aM\u80fd\u88ab22\u6574\u9664\uff0c\u5f53\u8003\u8651M\uff0b52\u88ab22\u9664\u540e\u7684\u4f59\u6570\u65f6\uff0c\u53ea\u9700\u8981\u8003\u865152\u88ab22\u9664\u540e\u7684\u4f59\u6570\uff0e 52\uff1d22\u00d72\uff0b8\u8fd9\u4e2a\u81ea\u7136\u6570\u88ab22\u9664\u4f598\uff0e

56 \u6709\u4e00\u5806\u7403\uff0c\u5982\u679c\u662f10\u7684\u500d\u6570\u4e2a\uff0c\u5c31\u5e73\u5747\u5206\u621010\u5806\uff0c\u5e76\u4e14\u62ff\u8d709\u5806\uff1b\u5982\u679c\u4e0d\u662f10\u7684\u500d\u6570\u4e2a\uff0c\u5c31\u6dfb\u52a0\u51e0\u4e2a\u7403(\u4e0d\u8d85\u8fc79\u4e2a)\uff0c\u4f7f\u8fd9\u5806\u7403\u6210\u4e3a10\u7684\u500d\u6570\u4e2a\uff0c\u7136\u540e\u5c06\u8fd9\u4e9b\u7403\u5e73\u5747\u5206\u621010\u5806\uff0c\u5e76\u4e14\u62ff\u8d709\u5806\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u79f0\u4e3a\u4e00\u6b21\u64cd\u4f5c\u3002\u5982\u679c\u6700\u521d\u8fd9\u5806\u7403\u7684\u4e2a\u6570\u4e3a
1 2 3 4 5 6 7 8 9 1 0 1 1 1 2\u20269 8 9 9\uff0e
\u8fde\u7eed\u8fdb\u884c\u64cd\u4f5c\uff0c\u76f4\u81f3\u5269\u4e0b1\u4e2a\u7403\u4e3a\u6b62\uff0c\u90a3\u4e48\u5171\u8fdb\u884c\u4e86 \u6b21\u64cd\u4f5c;\u5171\u6dfb\u52a0\u4e86 \u4e2a\u7403.
\u3010\u7b54\u6848\u3011189\u6b21\uff1b 802\u4e2a\u3002
\u3010\u89e3\u3011\u8fd9\u4e2a\u6570\u5171\u6709189\u4f4d\uff0c\u6bcf\u64cd\u4f5c\u4e00\u6b21\u51cf\u5c11\u4e00\u4f4d\u3002\u64cd\u4f5c188\u6b21\u540e\uff0c\u5269\u4e0b2\uff0c\u518d\u64cd\u4f5c\u4e00\u6b21\uff0c\u5269\u4e0b1\u3002\u5171\u64cd\u4f5c189\u6b21\u3002\u8fd9\u4e2a189\u4f4d\u6570\u7684\u5404\u4e2a\u6570\u4f4d\u4e0a\u7684\u6570\u5b57\u4e4b\u548c\u662f
(1+2+3+\u2026+9)20=900\u3002
\u7531\u64cd\u4f5c\u7684\u8fc7\u7a0b\u77e5\u9053\uff0c\u6dfb\u52a0\u7684\u7403\u6570\u76f8\u5f53\u4e8e\u5c06\u539f\u6765\u7403\u6570\u7684\u6bcf\u4f4d\u6570\u5b57\u90fd\u8865\u62109\uff0c\u518d\u6dfb1\u4e2a\u7403\u3002\u6240\u4ee5\u5171\u6dfb\u7403
1899-900+1=802(\u4e2a)\u3002

60 \u6709\u4e00\u79cd\u6700\u7b80\u771f\u5206\u6570\uff0c\u5b83\u4eec\u7684\u5206\u5b50\u4e0e\u5206\u6bcd\u7684\u4e58\u79ef\u90fd\u662f693\uff0c\u5982\u679c\u628a\u6240\u6709\u8fd9\u6837\u7684\u5206\u6570\u4ece\u5927\u5230\u5c0f\u6392\u5217\uff0c\u90a3\u4e48\u7b2c\u4e8c\u4e2a\u5206\u6570\u662f______\uff0e
\u3010\u7b54\u6848\u3011
\u3010\u89e3\u3011\u628a693\u5206\u89e3\u8d28\u56e0\u6570\uff1a693\uff1d3\u00d73\u00d77\u00d711\uff0e\u4e3a\u4e86\u4fdd\u8bc1\u5206\u5b50\u3001\u5206\u6bcd\u4e0d\u80fd\u7ea6\u5206(\u5426\u5219\uff0c\u7ea6\u5206\u540e\u5206\u5b50\u4e0e\u5206\u6bcd\u4e4b\u79ef\u5c31\u4e0d\u662f693)\uff0c\u76f8\u540c\u8d28\u56e0\u6570\u8981\u4e48\u90fd\u5728\u5206\u5b50\uff0c\u8981\u4e48\u90fd\u5728\u5206\u6bcd\uff0c\u5e76\u4e14\u5206\u5b50\u5e94\u5c0f\u4e8e\u5206\u6bcd\uff0e\u5206\u5b50\u4ece\u5927\u5230\u5c0f\u6392\u5217\u662f11\uff0c9\uff0c7\uff0c1\uff0c

68 \u57281\uff0c2\uff0c\u2026\uff0c1997\u8fd91997\u4e2a\u6570\u4e2d\uff0c\u9009\u51fa\u4e00\u4e9b\u6570\uff0c\u4f7f\u5f97\u8fd9\u4e9b\u6570\u4e2d\u7684\u6bcf\u4e24\u4e2a\u6570\u7684\u548c\u90fd\u80fd\u88ab22\u6574\u9664\uff0c\u90a3\u4e48\uff0c\u8fd9\u6837\u7684\u6570\u6700\u591a\u80fd\u9009\u51fa______\u4e2a\uff0e
\u3010\u7b54\u6848\u301191
\u3010\u89e3\u3011\u6709\u4e24\u79cd\u9009\u6cd5\uff1a(1)\u9009\u51fa\u6240\u670922\u7684\u6574\u6570\u500d\u7684\u6570\uff0c\u5373\uff1a22\uff0c22\u00d72\uff0c22\u00d73\uff0c\u2026\uff0c22\u00d790\uff1d1980\uff0c\u517190\u4e2a\u6570\uff1b(2)\u9009\u51fa\u6240\u670911\u7684\u5947\u6570\u500d\u7684\u6570\uff0c\u5373\uff1a11\uff0c11\uff0b22\u00d71\uff0c11\uff0b22\u00d72\u2026\uff0c11\uff0b22\u00d790\uff1d1991\uff0c\u517191\u4e2a\u6570\uff0c\u6240\u4ee5\uff0c\u8fd9\u6837\u7684\u6570\u6700\u591a\u80fd\u9009\u51fa91\u4e2a\uff0e

\u4e8c\u3001\u89e3\u7b54\u9898\uff1a
1\uff0e\u5c0f\u7ea2\u5230\u5546\u5e97\u4e70\u4e00\u76d2\u82b1\u7403\uff0c\u4e00\u76d2\u767d\u7403\uff0c\u4e24\u76d2\u7403\u7684\u6570\u91cf\u76f8\u7b49\uff0c\u82b1\u7403\u539f\u4ef7\u662f2\u5143\u94b13\u4e2a\uff0c\u767d\u7403\u539f\u4ef7\u662f2\u5143\u94b15\u4e2a\uff0e\u65b0\u5e74\u4f18\u60e0\uff0c\u4e24\u79cd\u7403\u7684\u552e\u4ef7\u90fd\u662f4\u5143\u94b18\u4e2a\uff0c\u7ed3\u679c\u5c0f\u7ea2\u5c11\u82b1\u4e865\u5143\u94b1\uff0c\u90a3\u4e48\uff0c\u5979\u4e00\u5171\u4e70\u4e86\u591a\u5c11\u4e2a\u7403\uff1f
\u3010\u7b54\u6848\u3011150\u4e2a
\u3010\u89e3\u3011
\u7528\u77e9\u5f62\u56fe\u6765\u5206\u6790\uff0c\u5982\u56fe\u3002

\u5bb9\u6613\u5f97\uff0c
\u89e3\u5f97:
\u6240\u4ee5 2x=150

2\uff0e22\u540d\u5bb6\u957f\uff08\u7238\u7238\u6216\u5988\u5988\uff0c\u4ed6\u4eec\u90fd\u4e0d\u662f\u8001\u5e08\uff09\u548c\u8001\u5e08\u966a\u540c\u4e00\u4e9b\u5c0f\u5b66\u751f\u53c2\u52a0\u67d0\u6b21\u6570\u5b66\u7ade\u8d5b\uff0c\u5df2\u77e5\u5bb6\u957f\u6bd4\u8001\u5e08\u591a\uff0c\u5988\u5988\u6bd4\u7238\u7238\u591a\uff0c\u5973\u8001\u5e08\u6bd4\u5988\u5988\u591a2\u4eba\uff0c\u81f3\u5c11\u6709\u4e00\u540d\u7537\u8001\u5e08\uff0c\u90a3\u4e48\u5728\u8fd922\u4eba\u4e2d\uff0c\u5171\u6709\u7238\u7238\u591a\u5c11\u4eba\uff1f
\u3010\u7b54\u6848\u30115\u4eba
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3\uff0e\u7532\u3001\u4e59\u3001\u4e19\u4e09\u4eba\u73b0\u5728\u5c81\u6570\u7684\u548c\u662f113\u5c81\uff0c\u5f53\u7532\u7684\u5c81\u6570\u662f\u4e59\u7684\u5c81\u6570\u7684\u4e00\u534a\u65f6\uff0c\u4e19\u662f38\u5c81\uff0c\u5f53\u4e59\u7684\u5c81\u6570\u662f\u4e19\u7684\u5c81\u6570\u7684\u4e00\u534a\u65f6\uff0c\u7532\u662f17\u5c81\uff0c\u90a3\u4e48\u4e59\u73b0\u5728\u662f\u591a\u5927\u5c81\u6570\uff1f
\u3010\u7b54\u6848\u301132\u5c81
\u3010\u89e3\u3011\u5982\u56fe\u3002

\u8bbe\u8fc7x\u5e74\uff0c\u753217\u5c81\uff0c\u5f97\uff1a

\u89e3\u5f97 x=10,
\u67d0\u4e2a\u65f6\u5019\uff0c\u753217-10=7\u5c81\uff0c\u4e597\u00d72=14\u5c81\uff0c\u4e1938\u5c81\uff0c\u5e74\u9f84\u548c\u4e3a59\u5c81\uff0c
\u6240\u4ee5\u5230\u73b0\u5728\u6bcf\u4eba\u8fd8\u8981\u52a0\u4e0a\uff08113-59\uff09\u00f73=18\uff08\u5c81\uff09
\u6240\u4ee5\u4e59\u73b0\u572814+18=32\uff08\u5c81\uff09\u3002

11. \u7532\u3001\u4e59\u4e24\u73ed\u7684\u5b66\u751f\u4eba\u6570\u76f8\u7b49\uff0c\u5404\u6709\u4e00\u4e9b\u5b66\u751f\u53c2\u52a0\u6570\u5b66\u9009\u4fee\u8bfe\uff0c\u7532\u73ed\u53c2\u52a0\u6570\u5b66\u9009\u4fee\u8bfe\u7684\u4eba\u6570\u6070\u597d\u662f\u4e59\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u76841/3\uff0c\u4e59\u73ed\u53c2\u52a0\u6570\u5b66\u9009\u4fee\u8bfe\u7684\u4eba\u6570\u6070\u597d\u662f\u7532\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u76841/4\u3002\u90a3\u4e48\u7532\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u662f\u4e59\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u7684\u51e0\u5206\u4e4b\u51e0?
\u3010\u7b54\u6848\u3011
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\u90a3\u4e48\u7532\u73ed\u53c2\u52a0\u7684\u4eba\u6570\u662fy\u4eba\uff0c\u4e59\u73ed\u53c2\u52a0\u7684\u4eba\u6570\u662fx\u4eba
\u6839\u636e\u6761\u4ef6\u4e24\u73ed\u4eba\u6570\u76f8\u7b49\uff0c\u6240\u4ee54x+y=3y+x
3x=2y x:y=2:3
\u56e0\u6b644x:3y=8:9 \u6545\u90a3\u4e48\u7532\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u662f\u4e59\u73ed\u6ca1\u6709\u53c2\u52a0\u7684\u4eba\u6570\u7684
\u3010\u53e6\u89e3\u3011\u5217\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff1a\u53ef\u5047\u8bbe\u4e24\u73ed\u4eba\u6570\u90fd\u4e3a\u201c1\u201d\uff0c\u8bbe\u7532\u73ed\u53c2\u52a0\u7684\u4e3ax\uff0c\u5219\u7532\u73ed\u672a\u53c2\u52a0\u7684\u4e3a\uff081-x\uff09\uff1b\u5219\u4e59\u73ed\u672a\u53c2\u52a0\u7684\u4e3a3x\uff0c\u5219\u4e59\u73ed\u53c2\u52a0\u7684\u4e3a\uff081-3x\uff09,\u53ef\u5217\u65b9\u7a0b\uff1a\uff081-x\uff09/4=1-3x \u6c42x=3/11\u3002
\u3010\u63d0\u793a\u3011\u65b9\u7a0b\u6f14\u7b97\u3001\u8bbe\u800c\u4e0d\u6c42\u3001\u91cf\u5316\u601d\u60f3\u90fd\u6709\u4e86\uff0c\u8fd9\u9053\u9898\u4e0d\u9519\u3002


2007\u5e74\u91cd\u70b9\u4e2d\u5b66\u5165\u5b66\u8bd5\u5377\u5206\u6790\u7cfb\u5217\u4e03

24. \u8457\u540d\u7684\u6570\u5b66\u5bb6\u65af\u8482\u82ac \u5df4\u7eb3\u8d6b\u4e8e1945\u5e748\u670831\u65e5\u53bb\u4e16\uff0c\u4ed6\u5728\u4e16\u65f6\u7684\u67d0\u5e74\u7684\u5e74\u9f84\u6070\u597d\u662f\u8be5\u5e74\u4efd\u7684\u7b97\u672f\u5e73\u65b9\u6839(\u8be5\u5e74\u7684\u5e74\u4efd\u662f\u4ed6\u8be5\u5e74\u5e74\u9f84\u7684\u5e73\u65b9\u6570).\u5219\u4ed6\u51fa\u751f\u7684\u5e74\u4efd\u662f _____ \uff0c\u4ed6\u53bb\u4e16\u65f6\u7684\u5e74\u9f84\u662f ______ .
\u3010\u7b54\u6848\u30111892\u5e74;53\u5c81\u3002
\u3010\u89e3\u3011 \u9996\u5148\u627e\u51fa\u5728\u5c0f\u4e8e1945\uff0c\u5927\u4e8e1845\u7684\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u67091936\uff1d442\uff0c1849\uff1d432\uff0c\u663e\u7136\u53ea\u67091936\u7b26\u5408\u5b9e\u9645\uff0c\u6240\u4ee5\u65af\u8482\u82ac \u5df4\u7eb3\u8d6b\u57281936\u5e74\u4e3a44\u5c81\uff0e
\u90a3\u4e48\u4ed6\u51fa\u751f\u7684\u5e74\u4efd\u4e3a1936\uff0d44\uff1d1892\u5e74\uff0e
\u4ed6\u53bb\u4e16\u7684\u5e74\u9f84\u4e3a1945\uff0d1892\uff1d53\u5c81\uff0e
\u3010\u63d0\u793a\u3011\u8981\u70b9\u662f\uff1a\u786e\u5b9a\u8303\u56f4\uff0c\u53e6\u5916\u8981\u6ce8\u610f\u7684\u201c\u6f5c\u53f0\u8bcd\u201d\uff1a\u5e74\u4efd\u4e0e\u76f8\u5e94\u5e74\u9f84\u5bf9\u5e94\uff0c\u5219\u6709\u5e74\u4efd\uff0d\u5e74\u9f84\uff1d\u51fa\u751f\u5e74\u4efd\u3002
36. \u67d0\u5c0f\u5b66\u5373\u5c06\u5f00\u8fd0\u52a8\u4f1a\uff0c\u4e00\u5171\u6709\u5341\u9879\u6bd4\u8d5b\uff0c\u6bcf\u4f4d\u540c\u5b66\u53ef\u4ee5\u4efb\u62a5\u4e24\u9879\uff0c\u90a3\u4e48\u8981\u6709 ___ \u4eba\u62a5\u540d\u53c2\u52a0\u8fd0\u52a8\u4f1a\uff0c\u624d\u80fd\u4fdd\u8bc1\u6709\u4e24\u540d\u6216\u4e24\u540d\u4ee5\u4e0a\u7684\u540c\u5b66\u62a5\u540d\u53c2\u52a0\u7684\u6bd4\u8d5b\u9879\u76ee\u76f8\u540c.
\u3010\u7b54\u6848\u301146
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\u90a3\u4e48\uff0c\u7531\u62bd\u5c49\u539f\u7406\u77e5\u4e3a 45+1\uff1d46\u4eba\u62a5\u540d\u65f6\u6ee1\u8db3\u9898\u610f\uff0e






37.

43. \u5982\u56fe\uff0cABCD\u662f\u77e9\u5f62\uff0cBC=6cm\uff0cAB=10cm\uff0cAC\u548cBD\u662f\u5bf9\u89d2\u7ebf\uff0c\u56fe\u4e2d\u7684\u9634\u5f71\u90e8\u5206\u4ee5CD\u4e3a\u8f74\u65cb\u8f6c\u4e00\u5468\uff0c\u5219\u9634\u5f71\u90e8\u5206\u626b\u8fc7\u7684\u7acb\u4f53\u7684\u4f53\u79ef\u662f\u591a\u5c11\u7acb\u65b9\u5398\u7c73\uff1f\uff08\u03c0=3.14\uff09
\u3010\u7b54\u6848\u3011565.2\u7acb\u65b9\u5398\u7c73
\u3010\u89e3\u3011\u8bbe\u4e09\u89d2\u5f62BOC\u4ee5CD\u4e3a\u8f74\u65cb\u8f6c\u4e00\u5468\u6240\u5f97\u5230\u7684\u7acb\u4f53\u7684\u4f53\u79ef\u662fS\uff0cS\u7b49\u4e8e\u9ad8\u4e3a10\u5398\u7c73\uff0c\u5e95\u9762\u534a\u5f84\u662f6\u5398\u7c73\u7684\u5706\u9525\u7684\u4f53\u79ef\u51cf\u53bb2\u4e2a\u9ad8\u4e3a5\u5398\u7c73\uff0c\u5e95\u9762\u534a\u5f84\u662f3\u5398\u7c73\u7684\u5706\u9525\u7684\u4f53\u79ef\u51cf\u53bb2\u4e2a\u9ad8\u4e3a5\u5398\u7c73\uff0c\u5e95\u9762\u534a\u5f84\u662f3\u5398\u7c73\u7684\u5706\u9525\u7684\u4f53\u79ef\u3002\u5373\uff1a
S= \u00d762\u00d710\u00d7\u03c0-2\u00d7 \u00d732\u00d75\u00d7\u03c0=90\u03c0\uff0c
2S=180\u03c0=565.2\uff08\u7acb\u65b9\u5398\u7c73\uff09
\u3010\u63d0\u793a\u3011S\u4e5f\u53ef\u4ee5\u770b\u505a\u4e00\u4e2a\u9ad8\u4e3a5\u5398\u7c73\uff0c\u4e0a\u3001\u4e0b\u5e95\u9762\u534a\u5f84\u662f3\u30016\u5398\u7c73\u7684\u5706\u53f0\u7684\u4f53\u79ef\u51cf\u53bb\u4e00\u4e2a\u9ad8\u4e3a5\u5398\u7c73\uff0c\u5e95\u9762\u534a\u5f84\u662f3\u5398\u7c73\u7684\u5706\u9525\u7684\u4f53\u79ef\u3002

4\uff0e\u5982\u56fe\uff0c\u70b9B\u662f\u7ebf\u6bb5AD\u7684\u4e2d\u70b9\uff0c\u7531A\uff0cB\uff0cC\uff0cD\u56db\u4e2a\u70b9\u6240\u6784\u6210\u7684\u6240\u6709\u7ebf\u6bb5\u7684\u957f\u5ea6\u5747\u4e3a\u6574\u6570\uff0c\u82e5\u8fd9\u4e9b\u7ebf\u6bb5\u7684\u957f\u5ea6\u7684\u79ef\u4e3a10500\uff0c\u5219\u7ebf\u6bb5AB\u7684\u957f\u5ea6\u662f \u3002

\u3010\u7b54\u6848\u30115
\u3010\u89e3\u3011\u7531A\uff0cB\uff0cC\uff0cD\u56db\u4e2a\u70b9\u6240\u6784\u6210\u7684\u7ebf\u6bb5\u6709\uff1aAB\uff0cAC\uff0cAD\uff0cBC\uff0cBD\u548cCD\uff0c\u7531\u4e8e\u70b9B\u662f\u7ebf\u6bb5AD\u7684\u4e2d\u70b9\uff0c\u53ef\u4ee5\u8bbe\u7ebf\u6bb5AB\u548cBD\u7684\u957f\u662fx\uff0cAD=2x\uff0c\u56e0\u6b64\u5728\u4e58\u79ef\u4e2d\u4e00\u5b9a\u6709x3\u3002
\u5bf910500\u505a\u8d28\u56e0\u6570\u5206\u89e3\uff1a
10500=22\u00d73\u00d753\u00d77\uff0c
\u6240\u4ee5\uff0cx=5,AB\u00d7BD\u00d7AD=53\u00d72,AC\u00d7BC\u00d7CD=2\u00d73\u00d77,
\u6240\u4ee5\uff0cAC=7\uff0cBC=2,CD=3,AD=10.

5\uff0e\u7532\u4e59\u4e24\u5730\u76f8\u8ddd60\u516c\u91cc\uff0c\u81ea\u884c\u8f66\u548c\u6469\u6258\u8f66\u540c\u65f6\u4ece\u7532\u5730\u9a76\u5411\u4e59\u5730.\u6469\u6258\u8f66\u6bd4\u81ea\u884c\u8f66\u65e9\u52304\u5c0f\u65f6\uff0c\u5df2\u77e5\u6469\u6258\u8f66\u7684\u901f\u5ea6\u662f\u81ea\u884c\u8f66\u76843\u500d\uff0c\u5219\u6469\u6258\u8f66\u7684\u901f\u5ea6\u662f ______ .
\u3010\u7b54\u6848\u301130\u516c\u91cc/\u5c0f\u65f6
\u3010\u89e3\u3011 \u8bb0\u6469\u6258\u8f66\u5230\u8fbe\u4e59\u5730\u6240\u9700\u65f6\u95f4\u4e3a\u201c1\u201d\uff0c\u5219\u81ea\u884c\u8f66\u6240\u9700\u65f6\u95f4\u4e3a\u201c3\u201d\uff0c\u67094\u5c0f\u65f6\u5bf9\u5e94\u201c3\u201d\uff0d\u201c1\u201d\uff1d\u201c2\u201d\uff0c\u6240\u4ee5\u6469\u6258\u8f66\u5230\u4e59\u5730\u6240\u9700\u65f6\u95f4\u4e3a4\u00f72\uff1d2\u5c0f\u65f6\uff0e\u6469\u6258\u8f66\u7684\u901f\u5ea6\u4e3a60\u00f72\uff1d30\u516c\u91cc/\u5c0f\u65f6\uff0e
\u3010\u63d0\u793a\u3011\u8fd9\u662f\u6700\u672c\u8d28\u7684\u884c\u7a0b\u4e2d\u6bd4\u4f8b\u5173\u7cfb\u7684\u5e94\u7528\uff0c\u6ce8\u610f\u4efd\u6570\u5bf9\u5e94\u601d\u60f3\u3002

6. \u4e00\u8f86\u6c7d\u8f66\u628a\u8d27\u7269\u4ece\u57ce\u5e02\u8fd0\u5f80\u5c71\u533a\uff0c\u5f80\u8fd4\u5171\u7528\u4e8620\u5c0f\u65f6\uff0c\u53bb\u65f6\u6240\u7528\u65f6\u95f4\u662f\u56de\u6765\u76841.5\u500d\uff0c\u53bb\u65f6\u6bcf\u5c0f\u65f6\u6bd4\u56de\u6765\u65f6\u616212\u516c\u91cc.\u8fd9\u8f86\u6c7d\u8f66\u5f80\u8fd4\u5171\u884c\u9a76\u4e86 _____ \u516c\u91cc.
\u3010\u7b54\u6848\u3011576
\u3010\u89e3\u3011 \u8bb0\u53bb\u65f6\u65f6\u95f4\u4e3a\u201c1.5\u201d\uff0c\u90a3\u4e48\u56de\u6765\u7684\u65f6\u95f4\u4e3a\u201c1\u201d\uff0e
\u6240\u4ee5\u56de\u6765\u65f6\u95f4\u4e3a20\u00f7(1.5+1)\uff1d8\u5c0f\u65f6\uff0c\u5219\u53bb\u65f6\u65f6\u95f4\u4e3a1.5\u00d78\uff1d12\u5c0f\u65f6\uff0e
\u6839\u636e\u53cd\u6bd4\u5173\u7cfb\uff0c\u5f80\u8fd4\u65f6\u95f4\u6bd4\u4e3a1.5\u22361\uff1d3\u22362,\u5219\u5f80\u8fd4\u901f\u5ea6\u4e3a2\uff1a3,
\u6309\u6bd4\u4f8b\u5206\u914d\uff0c\u77e5\u9053\u53bb\u7684\u901f\u5ea6\u4e3a12\u00f7\uff083-2\uff09\u00d72\uff1d24\uff08\u5343\u7c73\uff09
\u6240\u4ee5\u5f80\u8fd4\u8def\u7a0b\u4e3a24\u00d712\u00d72\uff1d576\uff08\u5343\u7c73\uff09\u3002


7. \u670970\u4e2a\u6570\u6392\u6210\u4e00\u6392\uff0c\u9664\u4e24\u5934\u4e24\u4e2a\u6570\u5916\uff0c\u6bcf\u4e2a\u6570\u76843\u500d\u6070\u597d\u7b49\u4e8e\u5b83\u4e24\u8fb9\u4e24\u4e2a\u6570\u4e4b\u548c.\u5df2\u77e5\u524d\u4e24\u4e2a\u6570\u662f0\u548c1\uff0c\u5219\u6700\u540e\u4e00\u4e2a\u6570\u9664\u4ee56\u7684\u4f59\u6570\u662f ______ .
\u3010\u7b54\u6848\u30114
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8. \u8001\u5e08\u5728\u9ed1\u677f\u4e0a\u5199\u4e86\u4e00\u4e2a\u81ea\u7136\u6570\u3002\u7b2c\u4e00\u4e2a\u540c\u5b66\u8bf4\uff1a\u201c\u8fd9\u4e2a\u6570\u662f2\u7684\u500d\u6570\u3002\u201d\u7b2c\u4e8c\u4e2a\u540c\u5b66\u8bf4\uff1a\u201c\u8fd9\u4e2a\u6570\u662f3\u7684\u500d\u6570\u3002\u201d\u7b2c\u4e09\u4e2a\u540c\u5b66\u8bf4\uff1a\u201c\u8fd9\u4e2a\u6570\u662f4\u7684\u500d\u6570\u3002\u201d\u2026\u2026\u7b2c\u5341\u56db\u4e2a\u540c\u5b66\u8bf4\uff1a\u201c\u8fd9\u4e2a\u6570\u662f15\u7684\u500d\u6570\u3002\u201d\u6700\u540e\uff0c\u8001\u5e08\u8bf4\uff1a\u201c\u5728\u6240\u670914\u4e2a\u9648\u8ff0\u4e2d\uff0c\u53ea\u6709\u4e24\u4e2a\u8fde\u7eed\u7684\u9648\u8ff0\u662f\u9519\u8bef\u7684\u3002\u201d\u8001\u5e08\u5199\u51fa\u7684\u6700\u5c0f\u7684\u81ea\u7136\u6570\u662f \u3002
\u3010\u7b54\u6848\u301160060
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16. \u5c0f\u738b\u548c\u5c0f\u674e\u5e73\u65f6\u9177\u7231\u6253\u724c\uff0c\u800c\u4e14\u63a8\u7406\u80fd\u529b\u90fd\u5f88\u5f3a\u3002\u4e00\u5929\uff0c\u4ed6\u4eec\u548c\u534e\u6559\u6388\u56f4\u7740\u684c\u5b50\u6253\u724c\uff0c\u534e\u6559\u6388\u7ed9\u4ed6\u4eec\u51fa\u4e86\u9053\u63a8\u7406\u9898\u3002\u534e\u6559\u6388\u4ece\u684c\u5b50\u4e0a\u62bd\u53d6\u4e86\u5982\u4e0b18\u5f20\u6251\u514b\u724c\uff1a
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\u5c0f\u674e\uff1a\u201c\u6211\u4e5f\u77e5\u9053\u4e86\u3002\u201d
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\u3010\u7b54\u6848\u3011\u65b9\u57579\u3002
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\u56e0\u4e3a\u5c0f\u674e\u77e5\u9053\u8fd9\u5f20\u724c\u7684\u82b1\u8272\uff0c\u5c0f\u674e\u8bf4\uff1a\u201c\u6211\u4e5f\u77e5\u9053\u4e86\u201d\uff0c\u8bf4\u660e\u8fd9\u5f20\u724c\u662f\u65b9\u57579\u3002\u5426\u5219\uff0c\u82b1\u8272\u662f\u7ea2\u6843\u7684\u8bdd\uff0c\u5c0f\u674e\u5224\u65ad\u4e0d\u51fa\u662f\u7ea2\u6843Q\u8fd8\u662f\u7ea2\u68434\u3002

\u3010\u63d0\u793a\u3011\u5728\u903b\u8f91\u63a8\u7406\u4e2d\uff0c\u8981\u6ce8\u610f\u4e00\u4e2a\u547d\u9898\u771f\u65f6\u6307\u5411\u4e00\u4e2a\u7ed3\u8bba\uff0c\u800c\u5176\u9006\u547d\u9898\u4e5f\u662f\u660e\u786e\u7684\u7ed3\u8bba\u3002

10.\u4ece1\u5230100\u7684\u81ea\u7136\u6570\u4e2d\uff0c\u6bcf\u6b21\u53d6\u51fa2\u4e2a\u6570\uff0c\u8981\u4f7f\u5b83\u4eec\u7684\u548c\u5927\u4e8e100\uff0c\u5219\u5171\u6709 _____ \u79cd\u53d6\u6cd5.
\u3010\u7b54\u6848\u30112500
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\u5f53a\u4e3a3\u65f6\uff0cb\u53ef\u4ee5\u4e3a98\u300199\u3001100\uff0c3\u79cd\u53d6\u6cd5\uff1b
\u5f53a\u4e3a4\u65f6\uff0cb\u53ef\u4ee5\u4e3a97\u300198\u300199\u3001100\uff0c4\u79cd\u53d6\u6cd5\uff1b
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\u2026\u2026 \u2026\u2026 \u2026\u2026
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\u5f53a\u4e3a51\u65f6\uff0cb\u53ef\u4ee5\u4e3a52\u300153\u3001\u2026\u300199\u3001100\uff0c49\u79cd\u53d6\u6cd5\uff1b
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\u2026\u2026 \u2026\u2026 \u2026\u2026
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\u6240\u4ee5\u5171\u67091+2+3+4+5+\u2026+49+50+49+48+\u2026+2+1\uff1d502\uff1d2500\u79cd\u53d6\u6cd5\uff0e
\u3010\u62d3\u5c55\u3011\u4ece1-100\u4e2d\uff0c\u53d6\u4e24\u4e2a\u4e0d\u540c\u7684\u6570\uff0c\u4f7f\u5176\u548c\u662f9\u7684\u500d\u6570\uff0c\u6709\u591a\u5c11\u79cd\u4e0d\u540c\u7684\u53d6\u6cd5\uff1f
\u3010\u89e3\u3011\u4ece\u9664\u4ee59\u7684\u4f59\u6570\u8003\u8651\uff0c\u53ef\u77e5\u4e24\u4e2a\u4e0d\u540c\u7684\u6570\u9664\u4ee59\u7684\u4f59\u6570\u4e4b\u548c\u4e3a9\u3002\u901a\u8fc7\u8ba1\u7b97\uff0c\u6613\u77e5\u9664\u4ee59\u4f591\u7684\u670912\u79cd\uff0c\u4f59\u6570\u4e3a2-8\u7684\u4e3a11\u79cd\uff0c\u4f59\u6570\u4e3a0\u7684\u670911\u79cd\uff0c\u4f46\u5176\u4e2d\u670911\u4e2a\u4e0d\u6ee1\u8db3\u9898\u610f\uff1a\u59829+9\u300118+18\u2026\u2026\uff0c\u8981\u51cf\u638911\u3002\u800c\u4f59\u6570\u4e3a1\u7684\u662f12\u79cd\uff0c\u591a\u4e8611\u79cd\u3002\u8fd9\u6837\uff0c\u53ef\u4ee5\u770b\u6210\uff0c1-100\u79cd\uff0c\u6bcf\u4e2a\u6570\u90fd\u5bf9\u5e9411\u79cd\u60c5\u51b5\u3002
11\u00d7100\u00f72=550\u79cd\u3002\u9664\u4ee52\u662f\u56e0\u4e3a1+8\u548c8+1\u662f\u76f8\u540c\u7684\u60c5\u51b5\u3002

14. \u5df2\u77e5\u4e09\u4f4d\u6570\u7684\u5404\u4f4d\u6570\u5b57\u4e4b\u79ef\u7b49\u4e8e10\uff0c\u5219\u8fd9\u6837\u7684\u4e09\u4f4d\u6570\u7684\u4e2a\u6570\u662f _____ \u4e2a.
\u3010\u7b54\u6848\u30116
\u3010\u89e3\u3011 \u56e0\u4e3a10\uff1d2\u00d75\uff0c\u6240\u4ee5\u8fd9\u4e9b\u4e09\u4f4d\u6570\u53ea\u80fd\u75311\u30012\u30015\u7ec4\u6210\uff0c\u4e8e\u662f\u5171\u6709 \uff1d6\u4e2a\uff0e

12. \u4e0b\u56fe\u4e2d\u6709\u4e94\u4e2a\u4e09\u89d2\u5f62\uff0c\u6bcf\u4e2a\u5c0f\u4e09\u89d2\u5f62\u4e2d\u7684\u4e09\u4e2a\u6570\u7684\u548c\u90fd\u7b49\u4e8e50\uff0c\u5176\u4e2dA7\uff1d25\uff0cA1\uff0bA2\uff0bA3\uff0bA4\uff1d74\uff0cA9\uff0bA3\uff0bA5\uff0bA10\uff1d76\uff0c\u90a3\u4e48A2\u4e0eA5\u7684\u548c\u662f\u591a\u5c11\uff1f

\u3010\u7b54\u6848\u301125
\u3010\u89e3\u3011 \u6709A1+A2+A8\uff1d50\uff0c
A9+A2+A3\uff1d50\uff0c
A4+A3+A5\uff1d50\uff0c
A10+A5+A6\uff1d50\uff0c
A7+A8+A6\uff1d50\uff0c
\u4e8e\u662f\u6709A1+A2+A8+A9+A2+A3+A4+A3+A5+A10+A5+A6+A7+A8+A6\uff1d250\uff0c
\u5373(A1+A2+A3+A4)+(A9+A3+A5+A10)+A2+A5+2A6+2A8+ A7\uff1d250.
\u670974+76+A2+A5+2(A6+A8) + A7\uff1d250\uff0c\u800c\u4e09\u89d2\u5f62A6A7A8\u4e2d\u6709A6+A7+A8\uff1d50\uff0c\u5176\u4e2dA7\uff1d25\uff0c\u6240\u4ee5A6+A8\uff1d50\uff0d25\uff1d25.
\u90a3\u4e48\u6709A2+A5\uff1d250\uff0d74\uff0d76\uff0d50\uff0d25\uff1d25.
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\u5176\u5b9e\uff0c\u6211\u4eec\u770b\u5230\u8fd9\u6837\u7684\u6570\u9635\uff0c\u7b2c\u4e00\u611f\u89c9\u662f\u770b\u5230\u8fd9\u91cc5\u4e2a50\u5e76\u4e0d\u8868\u793a10\u4e2a\u6570\u4e4b\u548c\uff0c\u800c\u662f\u8fd910\u4e2a\u6570\u518d\u52a0\u4e0a\u5185\u57085\u4e2a\u6570\u7684\u548c\u3002\u8fd9\u4e00\u70b9\u662f\u6700\u660e\u663e\u7684\u611f\u89c9\uff0c\u4e5f\u662f\u91cd\u8981\u7684\u7b49\u91cf\u5173\u7cfb\u3002
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\u8bf4\u660e\u8ddf\u5185\u5708\u53e6\u5916\u4e09\u4e2a\u6570\u6709\u5173\u7cfb\uff0c\u800c\u5176\u4e2d\u7b2c6\u4e2a\u6570\u548c\u7b2c8\u4e2a\u6570\u7684\u548c\u662f50-25\uff1d25,
\u518d\u770b\u7b2c3\u4e2a\u6570\uff0c\u5728\u52a0\u4e24\u6761\u76f4\u7ebf\u7b2c1\u30012\u30013\u30014\u4e2a\u6570\u548c\u7b2c9\u30013\u30015\u300110\u4e2a\u6570\u65f6\uff0c\u91cd\u590d\u7b97\u5230\u7b2c3\u4e2a\u6570\uff0c
\u597d\u620f\u5f00\u6f14\uff1a
74+76+50\uff0b25+\u7b2c2\u4e2a\u6570\uff0b\u7b2c5\u4e2a\u6570\uff1d50\u00d75
\u6240\u4ee5 \u7b2c2\u4e2a\u6570\uff0b\u7b2c5\u4e2a\u6570\uff1d25

13.\u4e0b\u9762\u6709\u4e09\u7ec4\u6570
(1) \uff0c1.5\uff0c (2)0.7\uff0c1.55 (3) \uff0c \uff0c1.6\uff0c
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\u3010\u7b54\u6848\u3011720
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\u56e0\u4e3a\u539f\u9898\u8f83\u590d\u6742\uff0c\u4e5f\u53ef\u5148\u8bb2\u6b64\u9898\uff0c\u7136\u540e\u518d\u8bb2\u539f\u9898\u3002
\u3010\u89e3\u3011 \uff1d16\u00d72.25\u00d720\uff1d720\uff0e
\u3010\u63d0\u793a\u3011\u63a8\u5bfc\u8fd9\u90e8\u5206\u5185\u5bb9\uff0c\u53ef\u522b\u5fd8\u4e86\u5e2e\u5b66\u751f\u590d\u4e60\u4e00\u4e0b\u6c42\u4e00\u4e2a\u6570\u6240\u6709\u7ea6\u6570\u548c\u7684\u516c\u5f0f\u3002\u878d\u4f1a\u8d2f\u901a\u7684\u673a\u4f1a\u6765\u4e86\u3002


\u5bb6 \u5ead \u4f5c \u4e1a
1.
\u3010\u7b54\u6848\u3011
\u3010\u89e3\u3011\u5c06\u5206\u5b50\u3001\u5206\u6bcd\u5206\u89e3\u56e0\u6570\uff1a9633\uff1d3\u00d73211\uff0c35321=11\u00d73211
\u3010\u63d0\u793a\u3011\u7528\u8f97\u8f6c\u76f8\u9664\u6cd5\u66f4\u5999\u4e86\u3002

14. \u7532\u3001\u4e59\u4e8c\u4eba\u5206\u522b\u4eceA\u3001B\u4e24\u5730\u540c\u65f6\u51fa\u53d1\uff0c\u76f8\u5411\u800c\u884c\uff0c\u51fa\u53d1\u65f6\u4ed6\u4eec\u7684\u901f\u5ea6\u6bd4\u662f3\uff1a2\uff0c\u4ed6\u4eec\u7b2c\u4e00\u6b21\u76f8\u9047\u540e\uff0c\u7532\u7684\u901f\u5ea6\u63d0\u9ad8\u4e8620\uff05\uff0c\u4e59\u7684\u901f\u5ea6\u63d0\u9ad8\u4e8630\uff05\uff0c\u8fd9\u6837\uff0c\u5f53\u7532\u5230\u8fbeB\u5730\u65f6\uff0c\u4e59\u79bbA\u8fd8\u670914\u5343\u7c73\uff0c\u90a3\u4e48\uff0cA\u3001B\u4e24\u5730\u95f4\u7684\u8ddd\u79bb\u662f\u591a\u5c11\u5343\u7c73\uff1f
\u3010\u7b54\u6848\u301145\u5343\u7c73
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\u3010\u63d0\u793a\u3011\u9898\u76ee\u5f88\u8001\u5957\u4e86\u3002\u4f46\u8003\u8651\u65b9\u6cd5\u7684\u7075\u6d3b\u6027\uff0c\u53ef\u4ee5\u4f5c\u4e0d\u540c\u65b9\u6cd5\u7684\u7ec3\u4e60\u3002
\u672c\u9898\u8fd8\u53ef\u4ee5\u7528\u901a\u6bd4\uff08\u6216\u8005\u79f0\u4f5c\u8fde\u6bd4\uff09\u6765\u89e3\u3002

14\u00f7(27-13)\u00d7(27+18)=45(\u5343\u7c73)

20. \u65b0\u5e74\u8054\u6b22\u4f1a\u4e0a\uff0c\u516d\u5e74\u7ea7\u4e00\u73ed\u768421\u540d\u540c\u5b66\u53c2\u52a0\u731c\u8c1c\u6d3b\u52a8\uff0c\u4ed6\u4eec\u4e00\u5171\u731c\u5bf9\u4e8644\u6761\u8c1c\u8bed.\u90a3\u4e4821\u540d\u540c\u5b66\u4e2d\uff0c\u81f3\u5c11\u6709_______\u4eba\u731c\u5bf9\u7684\u8c1c\u8bed\u4e00\u6837\u591a.
\u3010\u7b54\u6848\u30115
\u3010\u89e3\u3011 \u6211\u4eec\u5e94\u8be5\u4f7f\u5f97\u731c\u5bf9\u7684\u8c1c\u8bed\u7684\u6761\u6570\u5c3d\u53ef\u80fd\u7684\u5747\u5300\u5206\u5e03\uff0c\u6709\uff1a
0+0+0+0+1+1+1+1+2+2+2+2+3+3+3+3+4+4+4+4\uff1d(0+1+2+3+4)\u00d74\uff1d40\uff0c\u73b0\u5728\u8fd8\u67091\u4e2a\u4eba\u8fd8\u67094\u6761\u8c1c\u8bed\uff0c0+0+0+0+1+1+1+1+2+2+2+2+3+3+3+3+4+4+4+4+4\uff1d44\uff0e
\u6240\u4ee5\u6b64\u65f6\u67095\u4e2a\u4eba\u731c\u5bf9\u7684\u8c1c\u8bed\u4e00\u6837\u591a\uff0c\u5747\u4e3a4\u6761\uff0e

\u4e0d\u96be\u9a8c\u8bc1\u81f3\u5c11\u67095\u4eba\u731c\u5bf9\u7684\u8c1c\u8bed\u4e00\u6837\u591a\uff0e
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\u3010\u63d0\u793a\u3011\u6ce8\u610f\u5982\u679c\u6ca1\u6709\u4eba\u6570\u9650\u5236\uff0c\u5219\u8fd9\u91cc\u7684\u201c\u81f3\u5c11\u201d\u5e94\u8be5\u662f1\u4e2a\u4eba\u3002\u7ed3\u540821\u4eba\uff0c\u5e94\u8be5\u627e\u5230\u65b9\u5411\u4e86\u3002

26. \u67d0\u4e00\u4e2a\u5de5\u7a0b\u7532\u5355\u72ec\u505a50\u5929\u53ef\u4ee5\u5b8c\u6210\uff0c\u4e59\u5355\u72ec\u505a75\u5929\u53ef\u4ee5\u5b8c\u6210\uff0c\u73b0\u5728\u4e24\u4eba\u5408\u4f5c\uff0c\u4f46\u9014\u4e2d\u4e59\u56e0\u4e8b\u79bb\u5f00\u4e86\u51e0\u5929\uff0c\u4ece\u5f00\u5de5\u540e40\u5929\u628a\u8fd9\u4e2a\u5de5\u7a0b\u505a\u5b8c\uff0c\u5219\u4e59\u4e2d\u9014\u79bb\u5f00\u4e86 ____ \u5929.
\u3010\u7b54\u6848\u301125
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\u90a3\u4e48\u5269\u4e0b\u76841\uff0d \uff1d \u7531\u4e59\u5b8c\u6210\uff0c\u4e59\u9700 \u00f7 \uff1d15\u5929\u5b8c\u6210\uff0c\u6240\u4ee5\u4e59\u79bb\u5f00\u4e8640\uff0d15\uff1d25\u5929\uff0e

a\u3001\u4e00\u4e2a\u7834\u8f66\u8981\u8d70\u4e24\u82f1\u54e9\u7684\u8def\uff0c\u4e0a\u5c71\u53ca\u4e0b\u5c71\u5404\u4e00\u82f1\u54e9\uff0c\u4e0a\u5c71\u65f6\u5e73\u5747\u901f\u5ea6\u6bcf\u5c0f\u65f615\u82f1\u54e9\u95ee\u5f53\u5b83\u4e0b\u5c71\u8d70\u7b2c\u4e8c\u4e2a\u82f1\u54e9\u7684\u8def\u65f6\u8981\u591a\u5feb\u624d\u80fd\u8fbe\u5230\u6bcf\u5c0f\u65f630\u82f1\u54e9\uff1f

b\u3001\u963f\u7c73\u5df4\u7528\u7b80\u5355\u5206\u88c2\u7684\u65b9\u5f0f\u7e41\u6b96\uff0c\u5b83\u6bcf\u5206\u88c2\u4e00\u6b21\u8981\u75283\u5206\u949f\u3002\u5c06\u4e00\u4e2a\u963f\u7c73\u5df4\u653e\u5728\u4e00\u4e2a\u76db\u4e86\u8425\u517b\u53c2\u6db2\u7684\u5bb9\u5668\u5185\uff0c1\u5c0f\u65f6\u540e\u5bb9\u5668\u5185\u5145\u6ee1\u4e86\u963f\u7c73\u5df4\uff0c\u95ee\u5982\u679c\u5148\u524d\u4ee5\u4e8c\u4e2a\u963f\u7c73\u5df4\u5f00\u59cb\u800c\u4e0d\u662f\u4e00\u4e2a\uff0c\u90a3\u9ebd\u8981\u591a\u957f\u65f6\u95f4\u624d\u80fd\u4f7f\u5bb9\u5668\u5145\u6ee1\uff1f

2\u3001\u4ed6\u4eec\u4f1a\u76f8\u9047\u5417\uff1f
\u201c\u4f60\u4ece\u54ea\u513f\u6253\u7535\u8bdd\u6765\uff1f\u201d\u4f2f\u7279\u95ee\u9053\u3002\u6b64\u523b\u4ed6\u6b63\u5728\u9ed8\u987f\u8857\u548c\u65af\u666e\u8def\u65af\u8857\u4ea4\u89d2\u5904\u7684\u529e\u516c\u5ba4\u91cc\uff0c\u4e00\u8fb9\u542c\u7740\u7535\u8bdd\uff0c\u4e00\u8fb9\u900f\u8fc7\u7a97\u6237\u6ce8\u89c6\u7740\u7a97\u5916\u62e5\u6324\u7684\u4ea4\u901a\u3002
\u201c\u5728\u6234\u5c14\u8857\u548c\u91d1\u8857\u4ea4\u53c9\u5904\u7684\u4e00\u4e2a\u516c\u7528\u8bdd\u4ead\uff0c\u201d\u4f20\u6765\u7684\u662f\u672c\u6069\u7684\u5fae\u5f31\u7684\u56de\u7b54\uff0c\u201c\u4ece\u4f60\u90a3\u513f\u5f80\u5357\u8d70\u56db\u4e2a\u8857\u6bb5\uff0c\u5f80\u4e1c\u8d70\u51e0\u4e2a\u8857\u6bb5\uff01\u201d
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\u5b9e\u9645\u4e0a\uff0c\u5728\u4e24\u4e2a\u4ea4\u53c9\u70b9\u4e4b\u95f4\u6070\u597d\u670970\u79cd\u4e0d\u540c\u8d70\u6cd5\u7684\u7ebf\u8def\uff0c\u800c\u4e14\u7ebf\u8def\u4e4b\u95f4\u7684\u9009\u62e9\u8ddf\u8ddd\u79bb\u6ca1\u6709\u4ec0\u4e48\u5173\u7cfb\u3002
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3\u3001\u4ed6\u7684\u7b2c\u4e00\u4efd\u5de5\u4f5c
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6\u3001\u5934\u53d1\u7684\u989c\u8272
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7\u30011=2\u7684\u8bc1\u660e
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1=2\uff1f
\u5982\u679ca=b\uff0c\u4e14a\uff0cb\uff1e0\uff0c\u52191=2\u3002
\u8bc1\u660e\uff1a
1\uff09a\uff0cb\uff1e0 \u5df2\u77e5
2\uff09a=b \u5df2\u77e5
3\uff09ab=bb \u7b2c2\u6b65\u201c=\u201d\u7684\u4e24\u8fb9\u540c\u201c\u00d7b\u201d
4\uff09ab-aa=bb-aa \u7b2c3\u6b65\u201c=\u201d\u7684\u4e24\u8fb9\u540c\u201c-aa\u201d
5\uff09a\uff08b-a\uff09=\uff08b+a\uff09\uff08b-a\uff09 \u7b2c4\u6b65\u7684\u4e24\u8fb9\u540c\u65f6\u5206\u89e3\u56e0\u5f0f
6\uff09a=\uff08b+a\uff09 \u7b2c5\u6b65\u201c=\u201d\u7684\u4e24\u8fb9\u540c\u201c\u00f7(b-a)\u201d
7\uff09a=2a \u7b2c2\uff0c6\u6b65\u66ff\u6362
8\uff09a=2a \u7b2c7\u6b65\u540c\u7c7b\u9879\u76f8\u52a0
9\uff091=2 \u7b2c8\u6b65\u201c=\u201d\u7684\u4e24\u8fb9\u540c\u201c\u00f7\u201d
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8\u3001\u4e58\u8f66\u515c\u98ce
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9\u3001\u53bb\u522b\u5885
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10\u3001\u4e00\u4f4d\u5728\u9700\u8981\u65f6\u5019\u7684\u670b\u53cb
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11\u3001\u4e00\u573a\u6e29\u548c\u7684\u8d4c\u535a
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12\u3001\u5956\u91d1
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例1.只修改970405的某一个数字，就可使修改后的六位数能被225整除，修改后的六位数是_____.（安徽省1997年小学数学竞赛题） 解：逆向思考：因为225=25×9，且25和9互质，所以，只要修改后的数能分别被25和9整除，这个数就能被225整除。我们来分别考察能被25和9整除的情形。 由能被25整除的数的特征（末两位数能被25整除）知，修改后的六位数的末两位数可能是25，或75. 再据能被9整除的数的特征（各位上的数字之和能被9整除）检验，得9＋7+0＋4＋5＝25，25＋2＝27，25＋7=32. 故知，修改后的六位数是970425. 7. 在三位数中，个位、十位、百位都是一个数的平方的共有 个。 【答案】48 【解】百位有1、4、9三种选择，十位、个位有0、1、4、9四种选择。满足题意的三位数共有 3×4×4＝48（个）。 12. 已知三位数的各位数字之积等于10，则这样的三位数的个数是 _____ 个. 【答案】6 【解】 因为10＝2×5，所以这些三位数只能由1、2、5组成，于是共有 ＝6个． 12. 下图中有五个三角形，每个小三角形中的三个数的和都等于50，其中A7＝25，A1＋A2＋A3＋A4＝74，A9＋A3＋A5＋A10＝76，那么A2与A5的和是多少？ 【答案】25 【解】 有A1+A2+A8＝50， A9+A2+A3＝50， A4+A3+A5＝50， A10+A5+A6＝50， A7+A8+A6＝50， 于是有A1+A2+A8+A9+A2+A3+A4+A3+A5+A10+A5+A6+A7+A8+A6＝250， 即(A1+A2+A3+A4)+(A9+A3+A5+A10)+A2+A5+2A6+2A8+ A7＝250. 有74+76+A2+A5+2(A6+A8) + A7＝250，而三角形A6A7A8中有A6+A7+A8＝50，其中A7＝25，所以A6+A8＝50－25＝25. 那么有A2+A5＝250－74－76－50－25＝25. 【提示】上面的推导完全正确，但我们缺乏方向感和总体把握性。 其实，我们看到这样的数阵，第一感觉是看到这里5个50并不表示10个数之和，而是这10个数再加上内圈5个数的和。这一点是最明显的感觉，也是重要的等量关系。 再“看问题定方向”，要求第2个数和第5个数的和， 说明跟内圈另外三个数有关系，而其中第6个数和第8个数的和是50-25＝25, 再看第3个数，在加两条直线第1、2、3、4个数和第9、3、5、10个数时，重复算到第3个数， 好戏开演： 74+76+50＋25+第2个数＋第5个数＝50×5 所以 第2个数＋第5个数＝25 一、填空题： 1 满足下式的填法共有 种? 口口口口-口口口=口口 【答案】4905。 【解】由右式知，本题相当于求两个两位数a与b之和不小于100的算式有多少种。 a=10时，b在90 99之间，有10种； a=11时，b在89 99之间，有11种； …… a=99时，b在1 99之间，有99种。共有 10+11+12+……99=4905(种)。 【提示】算式谜跟计数问题结合，本题是一例。数学模型的类比联想是解题关键。 4 在足球表面有五边形和六边形图案(见右上图)，每个五边形与5个六边形相连，每个六边形与3个五边形相连。那么五边形和六边形的最简整数比是_______ 。 【答案】3∶5。 【解】设有X个五边形。每个五边形与5个六边形相连，这样应该有5X个六边形，可是每个六边形与3个五边形相连，即每个六边形被数了3遍，所以六边形有 个。 二、解答题： 1．小红到商店买一盒花球，一盒白球，两盒球的数量相等，花球原价是2元钱3个，白球原价是2元钱5个．新年优惠，两种球的售价都是4元钱8个，结果小红少花了5元钱，那么，她一共买了多少个球？ 【答案】150个 【解】 用矩形图来分析，如图。 容易得， 解得:

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