题目内容
先化简,后求值(1)
| x+1 |
| 2x |
| 4x2 |
| x2-1 |
(2)(
| a |
| a-1 |
| a |
| a+1 |
| 2a |
| a-1 |
分析:(1)先将分母分解因式,再约分,最后将x=2代入求值即可;
(2)先通分,再计算,最后把a=2代入求值即可.
(2)先通分,再计算,最后把a=2代入求值即可.
解答:解:(1)原式=
•
=
,
∵x=2,
∴原式=
=4;
(2)原式=
÷
=
×
=
,
∵a=2,
∴原式=
=
.
| x+1 |
| 2x |
| 4x2 |
| (x+1)(x-1) |
=
| 2x |
| x-1 |
∵x=2,
∴原式=
| 2×2 |
| 2-1 |
(2)原式=
| a(a+1)-a(a-1) |
| (a+1)(a-1) |
| 2a |
| a-1 |
=
| 2a |
| (a+1)(a-1) |
| a-1 |
| 2a |
=
| 1 |
| a+1 |
∵a=2,
∴原式=
| 1 |
| 2+1 |
| 1 |
| 3 |
点评:本题考查了分式的化简求值,是基础知识要熟练掌握.
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