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观察下列等式:1乘2分之1=1-2分之1
1/1×2+1/2×3+1/3×4+…+1/2009×2010
人气:442 ℃ 时间:2020-02-03 16:53:55
解答
1/1×2+1/2×3+1/3×4+…+1/2009×2010
=1-1/2+1/2-1/3+1/3-1/4+……+1/2009-1/2010
=1-1/2010
=2009/2010
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