题目内容
已知△ABC的边长分别为a,b,c,化简|a+b-c|-|b-a-c|的结果是( )
| A.2a | B.-2b | C.2a+3b | D.2b-2c |
a+b-c>0,b-a-c<0.
所以|a+b-c|-|b-a-c|
=a+b-c-[-(b-a-c)]
=2b-2c.
故选D.
所以|a+b-c|-|b-a-c|
=a+b-c-[-(b-a-c)]
=2b-2c.
故选D.
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