计算|1/2001|-1/2000+|1/2000-1/1999|-|1/1999-1/2001|

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计算|1/2001|-1/2000+|1/2000-1/1999|-|1/1999-1/2001|
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计算|1/2001|-1/2000+|1/2000-1/1999|-|1/1999-1/2001|
计算|1/2001|-1/2000+|1/2000-1/1999|-|1/1999-1/2001|

计算|1/2001|-1/2000+|1/2000-1/1999|-|1/1999-1/2001|
1/2001-1/2000<0
1/2000-1/1999<0
1/1999-1/2001>0
所以原式=-(1/2001-1/2000)+[-(1/2000-1/1999)]-(1/1999-1/2001)
=-1/2001+1/2000-1/2000+1/1999-1/1999+1/2001
=0

=1/2001-1/2000+1/1999-1/2000-1/1999+1/2001
=2/2001

|1/2001|-1/2000+|1/2000-1/1999|-|1/1999-1/2001|
= 1/2001 - 1/2000 + [-(1/2000-1/1999)] - (1/1999-1/2001)
= 1/2001 - 1/2000 - 1/2000 + 1/1999 - 1/1999 + 1/2001
= 2/2001 - 2/2000
= -2/ (2001*2000)
= -2/ 4002000

|1/2001|-1/2000+|1/2000-1/1999|-|1/1999-1/2001|
=1/2001-1/2000+1/1999-1/2000-1/1999+1/2001
=2/2001-2/2000
= -2/ (2001*2000)
= -2/ 4002000
=-1/2001000

哎, 楼主题目写错了一点!!!
这种题目 命题的人 不会把答案搞得很复杂的