已知有理数a,b,c满足a>0,b<0,c<0,/c/>/a/>/b/,化简/a+b/+/c-a/+/c-b/
人气:340 ℃ 时间:2019-12-20 01:52:47
解答
a>0,b<0,c<0,/c/>/a/>/b/
|c|=-c
|a|=a
|b|=-b
-c>a>-b
所以
a+b>0
c-a<0
c-b<0
∴
/a+b/+/c-a/+/c-b/
=a+b -(c-a)-(c-b)
=a+b-c+a-c+b
=2a+2b-2c
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