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

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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

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|=?

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


原式
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/2011-1/2012
=1--1/2012
=2011/2012

2011/2012