题目内容
先化简,再求值| x+3 |
| x2-1 |
| x2+2x-3 |
| x2-2x+1 |
| 1 |
| x+1 |
| 3 |
分析:先将除法转化为乘法,再将分式的分子、分母因式分解,约分、通分,再代值计算.
解答:解:原式=
•
+
=
+
=
.
当x=2
-1时,原式=
=
.
| x+3 |
| (x+1)(x-1) |
| (x-1)2 |
| (x+3)(x-1) |
| 1 |
| x+1 |
=
| 1 |
| x+1 |
| 1 |
| x+1 |
=
| 2 |
| x+1 |
当x=2
| 3 |
| 2 | ||
2
|
| ||
| 3 |
点评:考查了分式的化简求值,关键是将分式化为最简,再代值计算.
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