问题 解答题
先化简,再求值:
(1)
2a
a2-4
+
1
2-a
,其中a=
1
2

(2)
a+2b
a+b
+
2b2
a2-b2
-
2ab
a2-b2
,其中a=-2,b=
1
3
答案

(1)原式=

2a
(a+2)(a-2)
-
a+2
(a+2)(a-2)

=

2a-a-2
(a+2)(a-2)

=

a-2
(a+2)(a-2)

=

1
a+2

当a=

1
2
时,原式=
1
1
2
+2
=
2
5

(2)原式=

(a+2b)(a-b)
(a+b)(a-b)
+
2b2
(a+b)(a-b)
-
2ab
(a+b)(a-b)

=

a2+ab-2b2+2b2-2ab
(a+b)(a-b)

=

a2-ab
(a+b)(a-b)

=

a(a-b)
(a+b)(a-b)

=

a
a+b

当a=-2,b=

1
3
时,原式=
-2
-2+
1
3
=
6
5

单项选择题
多项选择题