(1⼀1009-1)*(1⼀1010-1)*...*(1⼀2009-1)*(1⼀2010-1)等于?

2025-02-24 01:00:50
推荐回答(2个)
回答1:

楼上答案不是最简分数
(1/1009-1)*(1/1010-1)*...*(1/2009-1)*(1/2010-1)
=(-1008/1009)(-1009/1010)...(-2008/2009)(-2009/2010)
=1008/2010
=168/335

回答2:

(1/1009-1)*(1/1010-1)*...*(1/2009-1)*(1/2010-1)
=(-1008/1009)(-1009/1010)*......(-2008/2009)(-2009/2010)
=1008/2010
=168/335