问题
填空题
已知a、b、c是△ABC的三边,则化简:|a-b+c|-|-a+b-c|=______.
答案
|a-b+c|-|-a+b-c|,
=|a+c-b|-|b-a-c|,
=a+c-b-(-b+a+c),
=a+c-b+b-a-c,
=0,
故答案为:0.
已知a、b、c是△ABC的三边,则化简:|a-b+c|-|-a+b-c|=______.
|a-b+c|-|-a+b-c|,
=|a+c-b|-|b-a-c|,
=a+c-b-(-b+a+c),
=a+c-b+b-a-c,
=0,
故答案为:0.