问题 解答题
计算题
(1)化简与求值:(1-
1
a+1
)÷
a2-a
a+1
,其中a=
1
2

(2)分解因式:(2x+y)2-(x+2y)2
答案

(1)(1-

1
a+1
)÷
a2-a
a+1

=

a+1-1
a+1
×
a+1
a(a-1)

=

a
a+1
×
a+1
a(a-1)

=

1
a-1

把a=

1
2
代入,原式=
1
1
2
-1
=-2;

(2)(2x+y)2-(x+2y)2

=(2x+y+x+2y)(2x+y-x-2y)

=3(x+y)(x-y).

单项选择题 B1型题
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