1/2003-1=-2002/2003
1/2002-1=-2001/2002
1/2001-1=-2000/2001
...
1/1001-1=-1000/1001
1/1000-1=-999/1000
因为共有2003-1000+1=1004个负数相乘,所以结果为正
得：
2002/2003×2001/2002×2000/2001×……×1000/1001×999/1000
=999/2003
(1/2003-1)(1/2002-1)(1/2001-1)...*(1/1001-1)(1/1000-1)
2个回答
相关问题
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(2003/1-1)×（2002/1-1）×（2001/1-1）×.×（1001/1-1）×（1000/1-1）=?
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求：（1/2003-1）(1/2002-1)(1/2001-1)(1/2000-1)(1/1999-1)…(1/1001
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写过程(1/2004-1) (1/2003-1) (1/2002-1)...(1/1001-1) (1/1000-1)=
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1/2000*2001+1/2001*2002+1/2002*2003+1/2003简便算法
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