同步练习】2017-2018学年 八年级数学上册 分式加减运算 计算题练习(含答案)

同步练习】2017-2018学年八年级数学上册分式加减运算计算题练习(含答案)

练题：

1、化简：$\dfrac{111a^2-b^2}{a^2+b^2}-\dfrac{2}{a+b}$.

2、化简：$\dfrac{1}{a-b}-\dfrac{ab}{a-b}$.

3、化简：$\dfrac{1}{a-1}-\dfrac{1}{1-a}$.

5、化简：$\dfrac{1+\frac{1}{a-1}}{\frac{1}{a^2-1}+1}$.

7、化简：$\dfrac{x-1}{x}\div\left(\dfrac{x-1}{x}\right)$.

9、化简：$\dfrac{2x}{2x+6}-\dfrac{2x}{x^2-x}$.

10、化简：$\dfrac{2}{2x+1}-\dfrac{9}{x}$.

11、化简：$\dfrac{1}{\frac{1}{2}x^2+1}-

\dfrac{2}{x^2+1}$.

12、化简：$\dfrac{2x-1}{x+1}\div\dfrac{x-1}{x+1}$.

14、化简：$\dfrac{x+2}{x-2}\div\dfrac{x-2}{x+2}$.

15、化简：$\dfrac{x-2}{2x+2}+\dfrac{3}{x-3}-

\dfrac{x+1}{x^2-1}$.

17、化简：$\dfrac{x+1}{x-3}\div\dfrac{x^2-9}{x-

3}+\dfrac{1}{x+2}$.

19、化简：$\dfrac{1}{x-2}+\dfrac{1}{x+2}-\dfrac{2}{x^2-4}$.

21、化简：$\dfrac{x-2}{2-x}-\dfrac{x+1}{2x^2-

8x+16}+\dfrac{1}{2}$.

23、化简：$\dfrac{2}{x+2}\div\left(\dfrac{2}{x-1}-

\dfrac{1}{x+3}\right)$.

25、化简：$\dfrac{-m^2}{m^2-a^2}+\dfrac{4a^2}{a^2-m^2}$.

26、化简：$\dfrac{a-1}{a^2-1}-\dfrac{1}{a+1}$.

27、化简：$\dfrac{b}{a-b}+\dfrac{a}{a-b}-

\dfrac{2ab}{b^2-a^2}$.

29、化简：$\dfrac{1}{x-2}-\dfrac{x-2}{x^2-4}$.

31、化简：$\dfrac{1}{x^2-4}-\dfrac{x-1}{x^2+2x+1}$.