先化简,再求值:(1a?1?1a+1)÷2a2a2?1,其中a=2

先化简,再求值:(1a?1?1a+1)÷2a2a2?1,其中a=2.
2025-06-24 07:39:16
推荐回答(1个)
回答1:

解答:解法一解:原式=[

a+1
(a+1)(a?1)
?
a?1
(a+1)(a?1)
]?
(a+1)(a?1)
2a2

=
2
(a+1)(a?1)
?
(a+1)(a?1)
2a2

=
1
a2

a=
2
时,原式=
1
2

解法二:原式=[
1
(a?1)
?
1
(a+1)
]?
(a+1)(a?1)
2a2

=
a+1
2a2
?
a?1
2a2

=
1
a2

a=
2
时,原式=
1
2