问题 解答题
先化简,再求值:
x
x+2
÷
x2-x
x2+4x+4
-
x
x-1
,其中x=1+
3
答案

x
x+2
÷
x2-x
x2+4x+4
-
x
x-1

=

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

=

x+2
x-1
-
x
x-1

=

2
x-1

将x=1+

3
代入,
2
x-1
=
2
1+
3
-1
=
2
3
3

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