题目内容
计算:
(1)
-
;
(2)
+
.
(1)
| 1 |
| a-1 |
| 2 |
| 1-a2 |
(2)
| a-1 |
| a2-1 |
| a |
| a+1 |
分析:(1)先通分,然后进行分式的加减运算即可;
(2)先将分式化简,然后再进行分式的加减运算即可.
(2)先将分式化简,然后再进行分式的加减运算即可.
解答:解:(1)原式=
+
=
=
.
(2)原式=
+
=
+
=
=1.
| a+1 |
| (a-1)(a+1) |
| 2 |
| (a-1)(a+1) |
=
| 2+a+1 |
| (a-1)(a+1) |
=
| a+3 |
| a2-1 |
(2)原式=
| a-1 |
| (a+1)(a-1) |
| a |
| a+1 |
=
| 1 |
| a+1 |
| a |
| a+1 |
=
| a+1 |
| a+1 |
=1.
点评:本题考查了分式的加减运算,属于基础题,注意在进行计算的时候要先观察,看分式是否看可以化简.
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