问题 解答题
(1)先化简,再求值(
x2
x-1
-
2x
1-x
x
x-1
,其中x=
3
+1

(2)先化简,再求值:
1
a+1
-
a+1
a2-2a+1
÷
a+1
a-1
,其中a=
2
.
答案

(1)(

x2
x-1
-
2x
1-x
x
x-1
=(
x2
x-1
+
2x
x-1
)•
x-1
x

=

x2+2x
x-1
x-1
x

=

x(x+2)
x-1
x-1
x

=x+2,

x=

3
+1时,原式=
3
+1+2=
3
+3

(2)原式=

1
a+1
-
a+1
(a-1)2
a-1
a+1

=

1
a+1
-
1
a-1

=-

2
a2-1

a=

2
时,原式=-
2
(
2
)
2
-1
=-2

单项选择题
单项选择题