问题 解答题
先化简,再求值:(a-
a2
a-1
a2-2a
a2-4
×
1
a+2
,其中a=
3
+1
答案

(a-

a2
a-1
)÷
a2-2a
a2-4
×
1
a+2

=

a2-a-a2
a-1
÷
a(a-2)
(a+2)(a-2)
×
1
a+2

=-

a
a-1
×
(a+2)(a-2)
a(a-2)
×
1
a+2

=-

1
a-1

当a=

3
+1时,原式=-
1
3
+1-1
=-
3
3

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