题目内容
化简.
(1)(1+
)÷
(2)
-
+
.
(1)(1+
| 3 |
| x-1 |
| x+2 |
| x2-1 |
(2)
| 1 |
| a+b |
| 1 |
| a-b |
| 2a |
| a2-b2 |
考点:分式的混合运算
专题:
分析:(1)先化简,再约分即可.
(2)先通分,再加减即可.
(2)先通分,再加减即可.
解答:解:(1)(1+
)÷
=
•
=x+1,
(2)
-
+
=
-
+
=
.
| 3 |
| x-1 |
| x+2 |
| x2-1 |
=
| x+2 |
| x-1 |
| (x+1)(x-1) |
| x+2 |
=x+1,
(2)
| 1 |
| a+b |
| 1 |
| a-b |
| 2a |
| a2-b2 |
=
| a-b |
| (a+b)(a-b) |
| a+b |
| (a+b)(a-b) |
| 2a |
| (a+b)(a-b) |
=
| 2 |
| a+b |
点评:本题主要考查了分式的混合运算,解题的关键是正确化简并约分.
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