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（1+1/2)×(1+1/4)×(1+1/6)×...×(1+1/10)×(1-1/3)×(1-1/5)×...×(1-1/9)简便运算
题目详情
（1+1/2)×(1+1/4)×(1+1/6)×...×(1+1/10)×(1-1/3)×(1-1/5)×...×(1-1/9)简便运算
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答案和解析
（1+1/2)×(1+1/4)×(1+1/6)×...×(1+1/10)×(1-1/3)×(1-1/5)×...×(1-1/9)
=3/2×5/4×...×11/10×2/3×4/5×...×8/9
=3/2×2/3×5/4×4/5×.×9/8×8/9×11/10
=11/10
=3/2×5/4×...×11/10×2/3×4/5×...×8/9
=3/2×2/3×5/4×4/5×.×9/8×8/9×11/10
=11/10
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