八年级数学上册 分式加减运算 计算题练习
1、化简: a 2 - b 2 a - b ÷ (2 + a 2 + b 2
ab ) .
2、化简: 1 - x 2
- 4x + 4 x + x 2 - 4 1
. 2x + 4
3、化简: a + 2
a - 2 ÷ 1 a 2 - 2a
. 4、化简:
1
a -1
-1- a .
5、化简: (m +
2mn + n 2
) ? m
m 2 - mn m 2 - n 2
. 6、化简: 2x - 4 ÷ x 2
- 4 2x
x + 2
-1.
7、化简: (1+ 1 a -1 ) ÷ ( 1
a 2 -1
+1) .
8、化简: (
x +1 + x -1 1 ) ÷ x 2 - 2x +1 x . x -1
9、化简: (1-
1
) ÷ a -1 a 2
- 4a + 4 a 2 - a
. 10、化简: (x -
4 - x ) ÷ x -1 x 2
- 4x + 4
. x -1
11、化简: a + 3 ? a 6 + a 2 + 6a + 9 2a - 6 a 2 - 9
. 12、化简: 2x 2 - 2x - x 2
-1 x
. x +1
13、化简:
2x - x +1 2x + 6 ÷ x 2 -1 x + 3 x 2 - 2x +1
. 14、化简: (1+
2
) ÷ x -1 x 2 + x
.
x 2
- 2x +1
15、化简: x x 2
-1 ÷ (1- 1
x +1
) . 16、化简: (1-
1
) ÷ x + 2 x 2 + x
.
x 2
+ 4x + 4
17、化简: (x - x
) ÷ x -1 x 3 - 2x 2 - x 2
- 2x +1 x x +1
. 18、化简: (x + 2 -
12 ) ÷ x - 2 4 - x
. x - 2
19、化简: x - 2 ÷ x 2 -1 2x + 2 + x 2 + 2x +1 1 x -1
. 20、化简: 3x - 3 ÷ x 2
-1 3x - x +1 1
. x +1
21、化简: (
2 + x + 3
1 ) ÷ 3 - x
x x 2 - 9
. 22、化简: (
x 2 + x - 2 4
) ÷ 2 - x x + 2 . x +1
23、化简:(
x + 2
-
x2- 2x
x -1
) ?
x2- 4x + 4
x
4 -x
. 24、化简:(
2x -9
x +3
-x + 3) ÷
x2- 4x + 4
.
-x - 3
25、化简:
2
+
a -1
a2- 4a + 4
a2-1
÷
a -2
a +1
.25、化简:(
m
-
m - 2
2m
) ÷
m2- 4
m
.
m + 2
27、化简:
b
+
a -b
a
a +b
-ab
b2
-
a2
. 28、化简:
x2- 4
x2+ 2x +1
÷ (x + 2) ?
x +1
.
2 -x
29、化简:1- x - 2
÷
x +1
x2- 4
x2+ 2x +1
.30、化简:
x
x2- 2x +1
÷ (
x +1
x2-1
+1)
31、化简:
a
-
a + 2
1
÷
a -1
a + 2
a2- 2a +1
.32、化简:(
2a -b
a +b
-
b
) ÷
a -b
a - 2b
.
a +b
33、化简:(1+
2
) ÷
x -1
x +1
x2- 2x +1
.34、化简:
a2-1
?
a +1
a2-a
-
a2- 2a +1
ax -a
.
x -1
35、化简:x2-8x +16
x2+ 2x
÷ (
12
x +2
-x + 2) +
1
x +4
. 36、化简:(1-
a
) ÷
x
x2-a2
.
x
37、化简:(
x2
x -1
-x -1) ÷
x
x2-1
.38、化简:(
2a
-
a -1
a
) ÷
a +1
a
.
a2-1
39、化简:(1+
1
) ÷
x - 2
x2-1
2x -4
2
ab
4 - x
参考答案
2 - a 2 1、原式= . 2、原式=
a +
b 2(x - 2) . 3、原式=a 2
+2a. 4、原式= . 5、原式=m+n.
a -1
1- x
a +1
x
a
x + 2
6、原式=
. 7、原式= .
8、原式=
.
9、原式= . 10、原式=
. x a x -1
2
x
a - 2 x -1
x - 2 1
11、原式= .
12、原式=
. 13、原式=3x-7.
14、原式=
. 15、原式=
.
a x +1
1
x
x -1
x
16、原式=1+ . 17、原式= -
1 x 2
+ x x - 9 . 18、原式=-x-4.
19、原式=
.
2x - 2 -1
20、原式=
x 2 + x . 21、原式= x
. 22、原式=x+1. 24、原式=
(x - 2)2 .
x
a
m
a + b
25、原式= . 26、原式= .
27、原式=
. 28、原式=
. x - 2 1 a -1 1 m - 2 1
a - b
1
29、原式= - . 30、原式= . 31、原式= .
32、原式=
.
x +1 2a
x + 2 x -1 a + 2
4
33、原式= a - b .
34、原式=x ﹣1. 35、原式=0. 36、原式=
x 2
+ 4x
.
1
x +1
2
37、原式=
. 38、原式=
. 39、原式=a+3. 40、原式=
.
x + a x x +1
2