计算：|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+……+|1/2012-1/2011|=

计算：|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+……+|1/2012-1/2011|=?

问答/229℃/2024-02-07 10:55:28

优质解答：

答：各项绝对值内的代数式都是负数

|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+……+|1/2012-1/2011|

=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/2011-1/2012)

=1-1/2012

=2011/2012

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