题目内容
(2012•德阳模拟)化简:
+
的结果是
.
| 1 |
| x-1 |
| 2 |
| 1-x2 |
| 1 |
| x+1 |
| 1 |
| x+1 |
分析:首先通分,然后利用同分母的分式相加减的运算法则求解,即可求得答案,注意运算结果需化为最简.
解答:解:
+
=
-
=
=
=
.
故答案为:
.
| 1 |
| x-1 |
| 2 |
| 1-x2 |
=
| x+1 |
| (x+1)(x-1) |
| 2 |
| (x+1)(x-1) |
=
| x+1-2 |
| (x+1)(x-1) |
=
| x-1 |
| (x+1)(x-1) |
=
| 1 |
| x+1 |
故答案为:
| 1 |
| x+1 |
点评:此题考查了分式的加减运算法则.此题比较简单,注意运算结果需化为最简.
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