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等 级:资深长老 |
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注册日期:2005-01-08 |
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试试看
设a,b,c为非零有理数,且 |a|+a=0,|a+b|=ab,|c|-c=0,化简: |b|-|a+b|-|c-b|+|a-c|
|a|+a=0 AND a !=0 ===> a<0
|a+b|=ab AND a<0 AND b!=0 ===> b<0
|c|-c=0 AND c!=0 ===> c>0
so
|b|-|a+b|-|c-b|+|a-c|
= -b - (-(a+b)) - (c-b) + (-(a-c))
= -b + a+b - c+b - a+c
= a-c+b-a+c
= b (此文由讷于言在2012-10-24 22:47:48编辑过)
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-- 莫名其妙地生来,无可奈何地活着,不知所以然地死掉 |
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