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计算:(1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/10)*(1-1/3)*(1-1/5)*.*(1-1/9)注:*是乘号

题目详情
计算:(1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/10)*(1-1/
3)*(1-1/5)*.*(1-1/9)
注:*是乘号
▼优质解答
答案和解析
(1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/10)*(1-1/3)*(1-1/5)*(1-1/7)*(1-1/9)
=[(1+1/2)*(1-1/3)]*[(1+1/4)*(1-1/5)]*[(1+1/6)*(1-1/7)]*[(1+1/8)(1-1/9)]*(1+1/10)
=[(3/2)(2/3)]*[(5/4)(4/5)]*[(7/6)(6/7)]*[(9/8)(8/9)]*(11/10)
=1*1*1*1*(11/10)
=11/10
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