化简：|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2010-1/2009|
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化简：|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2010-1/2009|化简：|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2010-1/2009|化简
化简：|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2010-1/2009|
化简：|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2010-1/2009|
化简：|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2010-1/2009|
原式=1-1/2+1/2-1/3+……+1/2009-1/2010
=1-1/2010
=2009/2010
|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2010-1/2009|
1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
=1-1/2010=2009/2010
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