(1-1/2^2)*(1-1/3)*(1-1/4^2)*…*(1-1/9^2)*(1/10^2)
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(1-1/2^2)*(1-1/3)*(1-1/4^2)*…*(1-1/9^2)*(1/10^2)
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![(1-1/2^2)*(1-1/3)*(1-1/4^2)*…*(1-1/9^2)*(1/10^2)](/uploads/image/z/6297973-61-3.jpg?t=%281-1%2F2%5E2%29%2A%281-1%2F3%29%2A%281-1%2F4%5E2%29%2A%E2%80%A6%2A%281-1%2F9%5E2%29%2A%281%2F10%5E2%29)
(1-1/2^2)*(1-1/3)*(1-1/4^2)*…*(1-1/9^2)*(1/10^2)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)*.*(1-1/9)(1+1/9)(1-1/10)(1+1/10)
=1/2*3/2*2/3*4/3*3/4*5/4*.*8/9*10/9*9/10*11/10
=1/2*11/10
=11/20
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)*.*(1-1/9)(1+1/9)(1-1/10)(1+1/10)
=1/2*3/2*2/3*4/3*3/4*5/4*.*8/9*10/9*9/10*11/10
=1/2*11/10
=11/20
(1-1/2^2)*(1-1/3)*(1-1/4^2)*…*(1-1/9^2)*(1/10^2)
简便方法计算 (1-1/^2)(1-1/^3)(1-1/^4)……(1-1/^9)(1-1/^10)
计算|2/1-1|+|3/1-2/1|+|4/1-3/1| +…+|9/1-8/1|+|10/1-
利用分解因式计算:(1-1/2^2)(1-1/3^2)(1-1/4^2)……(1-1/9^2)(1-1/10^2)
计算:|1-1/2|-|1/2-1/3|-|1/3-1/4|-……-|1/9-1/10|
|1-1/2|十|1/2-1/3|十|1/3-1/4|……|1/9-1/10|
|1-1/2|+|1/2-1/3|+|1/3-1/4|+...|1/9-1/10|
|1-1/2|-|1/2-1/3|-|1/3-1/4|-.-|1/9-1/10|
一道数学得简便运算(1-1/2^2)(1-1/3^2)(1-1/4^2)…(1-1/9^2)(1-1/10^2) 就这题
计算:1/2^2-1+1/3^2-1+1/4^2-1+…+1/9^2-1+1/10^2-1
求值:(1-1/2^2)(1-1/3^2)(1-1/4^2)…(1-1/9^2)(1-1/10^2)
|1-1/2|+|1/3-1/4|……|1/9-1/10|等于多少啊?,