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

x2-1
x2-2x+1
÷
x+1
x-1
1-x
1+x

=

(x+1)(x-1)
(x-1)2
×
x-1
x+1
1-x
1+x

=

1-x
x+1

x=

1
2
代入上式得:

原式=

1-
1
2
1
2
+1
=
1
3

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