(完整版)八年级数学上册分式加减运算计算题练习(含答案)

(完整版)八年级数学上册分式加减运算计算题练习(含答案)1.化简：$\frac{a^2-b^2}{a^2+b^2}\div\frac{2}{1}$2.化简：$\frac{1}{2}-\frac{a-bab}{x-4x+4x-4}\div\frac{2}{1}$3.化简：$\frac{a+2}{1}-\frac{1}{a-2}$4.化简：$\frac{2mn+n^2}{m^2-mn^2}\times\frac{x-4}{2}$5.化简：$\frac{m+\frac{1}{2}}{2m-nx-4x+2}$6.化简：$\frac{1}{-1}\div\frac{a^2+x^2}{a^2-6a+9}$7.化简：$(1+\frac{1}{x+1})\div(\frac{2}{1}+1)$8.化简：$(\frac{1}{2}+\frac{1}{a-1})\div(x^{-1}x^{-2})\div(\frac{a^2-4a+4}{4-x^2})$9.化简：$(1-\frac{1}{x^2})\div\frac{1}{x^2+xx+1}$10.化简：$(x-\frac{1}{a^2-ax-1})$11.化简：$\frac{x^2-1}{x^2+2x+1}$12.化简：$\frac{2}{2x-1}\div\frac{2a+3}{a+6}$13.化简：$\frac{1}{x-1}\div\frac{x^2-2x+1}{x^2-2x+1}$14.化简：$(1+\frac{1}{x-1})\div\frac{x^2-2x+1}{x^2-2x+1}$15.化简：$\frac{2}{x^2-1}\div(1-\frac{1}{x^2})$16.化简：$(1-x^{-2})\div(x+2-x^{-1}-x^{-3})$17.化简：$(x-\frac{1}{x})\div\frac{x^2-9}{x-3}$18.化简：$(x+2-\frac{1}{x-1})\div(x-2x+1)\div(x+1)$19.化简：$\frac{x-2}{2x-2}+\frac{13}{3x-3}$20.化简：$\frac{x^2-1}{x^2+2x+1}\div\frac{x-1}{x+1}$21.化简：$\frac{1}{x-2}-\frac{1}{x+3}+\frac{1}{x^2-9}$22.化简：$(2x+2x^{-1})\div(x^2-4x+1)$23.化简：$(x+3-x^{-3})\div(x^{-2}-4x+4)$24.化简：$(2a^2-4a+4)\div(a-bb)\times(a+bb-m^2mm)$25.化简：$\frac{1}{2}\div(x^2-4x+1)\div\frac{ba^2}{ab}$26.删除27.化简：$\frac{1}{x-2x^2-4x}\div(x+1)$28.化简：$\frac{22x+2x^2+12-xa-bb+a}{x-2x^2-4x+1}$29.化简：$1\div\frac{2}{x+1}$30.化简：$\frac{1}{2x^2+x-2}\div\frac{x^2+2x+1}{x-2x+1}$31.化简：$\frac{a+2}{a^2-2b}\div\frac{a-2b}{a^2+2ab+b^2}$32、化简：$\frac{(x-2)}{2a-1}\div\frac{a-2a+1}{a+b}\div\frac{a-b}{a+b}$化简后为：$\frac{(x-2)(a+b)}{(2a-1)(a-1)(a+1)}$33、化简：$\frac{(1+2a-1x^{-1})(x^{-1}-2x+1)}{x^2-8x+16}\div\frac{a}{x^2-a^2}$化简后为：$\frac{(2a-1)(x-a)}{(x-4)(x-4)(x-1)}$34、化简：$\frac{(1+\sqrt{5})}{2a+1}\div\frac{a-2a+1}{x^{-1}-x^{-2}}$化简后为：$\frac{(1+\sqrt{5})}{2a+1}\cdot\frac{x^{-1}-x^{-2}}{(a-1)^2}$35、化简：$\frac{(x-1)}{(x-2)}\div\frac{(x+1)}{(x+2)}$化简后为：$\frac{(x-1)(x+2)}{(x-2)(x+1)}$36、化简：$\frac{(1-x^{-1})}{(2x+2x^{-1}+4x^{-3})}\div\frac{x}{2x^2a}$化简后为：$\frac{(1-x^{-1})}{2x(1+x^{-2}+2x^{-4})}\cdot\frac{2x^2a}{x}$，即$\frac{(1-x^{-1})a}{(1+x^{-2}+2x^{-4})}$37、化简：$\frac{(x^2-1)}{(x-1)}\div\frac{(x-2)}{2}$化简后为：$\frac{2(x+1)}{x-1}$38、化简：$\frac{