问题 填空题
(1)若3≤x≤4,则|x-4|-
(x-3)2
=______
(2)当-3<a<5时,化简
a2+6a+9
+
a2-10b+25
=______.
(3)已知ABC的三边长分别为a、b、c,则
(a-b-c)2
-|b-a-c|
=______.
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.

单项选择题
单项选择题