:2020版中考数学新素养大一轮浙江（浙教）专用 第04课时　分式及其运算

:第4课时 分式及其运算 
课时分层训练
|夯实基础|
1.如果式子x+1x-3有意义,则x的取值范围是 (  )
A.x≥-1 B.x>-1且x≠3
C.x≥-1且x≠3 D.x≤-1且x≠3
2.[2019·聊城]如果分式|x|-1x+1的值为0,那么x的值为 (  )
A.-1   B.1   C.-1或1  D.1或0
3.下列约分正确的是 (  )
A.x6x2=x3 B.x-yx-y=0
C.x-yx2-xy=1x D.2x2y4xy2=12
4.下列分式中,最简分式是 (  )
A.x2-1x2+1 B.x+1x2-1
C.x2-2xy+y2x2-xy D.x2-362x+12
5.[2019·陇南]下面的计算过程中,从哪一步开始出现错误 (  )
图4-1
A.① B.② C.③ D.④
6.[2019·兰州]化简:a2+1a+1-2a+1= (  )
A.a-1 B.a+1 C.a-1a+1 D.1a+1
7.若y=-x+3,且x≠y,则x2x-y+y2y-x的值为 (  )
A.3 B.-3
C.13 D.-13
8.[2019·眉山]化简a-b2a÷a-ba的结果是 (  )
A.a-b B.a+b
C.1a-b D.1a+b
9.[2016·包头] 化简1a+1b÷1a2-1b2·ab,其结果是 (  )
A.a2b2a-b B.a2b2b-a
C.1a-b D.1b-a
10.[2019·临沂]计算a2a-1-a-1的正确结果是 (  )
A.-1a-1 B.1a-1
C.-2a-1a-1 D.2a-1a-1
11.[2019·青山区二模]已知A÷1+1x-1=1x+1,则A= (  )
A.x-1x2+x B.xx2-1
C.1x2-1 D.x2-1
12.已知a为整数