帮忙解决一道数学题啊!!!1

来源:百度知道 编辑:UC知道 时间:2024/05/22 20:23:18
已知:(a-1/2)^2+|a+b+3|=0
求(-a^2+3ab-1/2 b^2)-(-2a^2+4ab-1/2 b^2)。

(a-1/2)^2+|a+b+3|=0 ==>a-1/2=0, a+b+3=0,==>a=1/2, b=-7/2;

(-a^2+3ab-1/2 b^2)-(-2a^2+4ab-1/2 b^2)
=-a^2+3ab-1/2 b^2+2a^2-4ab+1/2 b^2
=a^2-ab
=1/4+7/4
=2
或:
(-a^2+3ab-1/2 b^2)-(-2a^2+4ab-1/2 b^2)
=-a^2+3ab-1/2 b^2+2a^2-4ab+1/2 b^2
=a^2-ab
=a(a-b)
=1/2*(1/2+7/2)
=1/2*4
=2

因为绝对值+完全平房的和=0
说明,绝对值和完全平方分别=0
(a-1/2)^2=0,1-1/2=0,a=1/2
|a+b+3|=0,|1/2+b+3|=0,b=-7/2

(-a^2+3ab-1/2 b^2)-(-2a^2+4ab-1/2 b^2)
=-a^2+3ab-1/2 b^2+2a^2-4ab+1/2 b^2
=a^2-ab
=a(a-b)
=1/2*(1/2+7/2)
=1/2*4
=2

肯定对哦

(a-1/2)^2+|a+b+3|=0 ==>a-1/2=0, a+b+3=0,==>a=1/2, b=-7/2;

(-a^2+3ab-1/2 b^2)-(-2a^2+4ab-1/2 b^2)
=-a^2+3ab-1/2 b^2+2a^2-4ab+1/2 b^2
=a^2-ab
=1/4+7/4
=2

(a-1/2)^2+|a+b+3|=0
所以a-1/2=0 a=1/2
a+b+3=0 b=-7/2
(-a^2+3ab-1/2 b^2)-(-2a^2+4ab-1/2 b^2)
=-a^2+3ab-1/2 b^2+2a^2-4ab+1/2 b^2
=a^2-