|1/3-1/2|+|1/4-1/3|~|1-2012-1/2011|急求怎样解答
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![|1/3-1/2|+|1/4-1/3|~|1-2012-1/2011|急求怎样解答](/uploads/image/z/8810670-30-0.jpg?t=%7C1%2F3-1%2F2%7C%2B%7C1%2F4-1%2F3%7C%7E%7C1-2012-1%2F2011%7C%E6%80%A5%E6%B1%82%E6%80%8E%E6%A0%B7%E8%A7%A3%E7%AD%94)
|1/3-1/2|+|1/4-1/3|~|1-2012-1/2011|急求怎样解答
|1/3-1/2|+|1/4-1/3|~|1-2012-1/2011|急求怎样解答
|1/3-1/2|+|1/4-1/3|~|1-2012-1/2011|急求怎样解答
1/2>1/3>1/4>...>1/2011>1/2012
|1/3-1/2|+|1/4-1/3|+...+|1/2012-1/2011|
=1/2-1/3+1/3-1/4+...+1/2011-1/2012
=1/2-1/2012
=1005/2012
|1/3-1/2|+|1/4-1/3|~~|1-2012-1/2011|
=1/2-1/3+1/3-1/4+...+1/2011-1/2012
=1/2-1/2012
=1005/2012