问题
填空题
(1)若3≤x≤4,则|x-4|-
(2)当-3<a<5时,化简
(3)已知ABC的三边长分别为a、b、c,则
|
答案
(1)∵3≤x≤4,
∴原式=4-x-|x-3|=4-x-x+3=7-2x;
(2)原式=
+(a+3)2
,(a-5)2
=|a+3|+|a-5|,
=a+3+5-a,
=8;
(3)因为三角形满足两边和大于第三边,
∴b+c>a,a+c>b,
原式=|a-(b+c)|-|b-(a+c)|=b+c-a-a-c+b=2b-2a.