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专题 15.6 分式方程的解法专项训练
【人教版】
考卷信息:
本套训练卷共40题,题型针对性较高,覆盖面广,选题有深度,可加强学生对分式方程的解法的理解!
1.(2023上·山东泰安·八年级统考期中)解方程:
x+3 x
(1) - =1;
x2-3x 3-x
x-1 x+1 4
(2) = + .
x+1 x-1 x2-1
2.(2023上·贵州铜仁·八年级校考期中)解方程:
8 x
(1) +1= ;
x2-4 x-2
2 5
(2) = .
x+3 x
3.(2023上·山东济宁·八年级统考期中)解方程:
1 1
(1) =
x-1 x2-1
1 x-1
(2) +3= .
x-2 x-2
4.(2023上·山东淄博·八年级淄博市张店区实验中学校考阶段练习)解方程.
x+3 4
(1) - =1;
x-3 x+3
2-x 1
(2) +4= .
x-3 3-x
5.(2023下·江苏淮安·八年级校考期末)解方程:
3 2
(1) =
x x+1
x-5 3
(2) = -4
x-2 2-x
6.(2023上·河南商丘·八年级校联考期末)解方程x 3
(1) = -2;
x-1 2x-2
1 2-x
(2) - =2.
3-x x-3
7.(2023上·山东德州·八年级统考期末)解方程:
x-2 1 1
(1) = + ;
x-3 2 3-x
x-2 16
(2) -1= .
x+2 x2-4
8.(2023下·河南洛阳·八年级统考期中)解方程∶
1 1-x
(1) +3= .
x-2 2-x
x 3
(2) -1= .
x-1 x2-1
9.(2023下·江苏常州·八年级校考期中)解方程:
3 1
(1) = .
5x x+2
1 1-x
(2) +2= .
x-2 2-x
10.(2023下·四川成都·八年级成都外国语学校校考期中)解方程:
1-x 3
(1) = +2;
x-4 4-x
x 4
(2) - =1.
x+1 x2-1
11.(2023下·河南鹤壁·八年级统考期中)解方程:
2 3
(1) =
x-3 x
2 1-x
(2) +2=
x-3 3-x
12.(2023下·江苏苏州·八年级星海实验中学校考期中)解方程:
3 1-x
(1) +2= ;
4-x x-4
x+1 2
(2) - =1.
x-1 x2-1
13.(2023上·河北秦皇岛·八年级统考期中)解方程x 3
(1) -1=
x+1 x-1
3 2 1
(2) + =
x+2 x2-4 x-2
14.(2023上·江西新余·八年级校考期末)解方程:
1 3x
(1) -2= ;
x-3 3-x
3 2
(2) = .
2x x+1
15.(2023上·辽宁葫芦岛·八年级统考期末)解方程:
(1)x2-8 1
=1+
x2-4 2-x
x-2 1
(2) =2-
x-3 6-2x
16.(2023上·山东滨州·八年级统考期末)解方程:
y 8
(1) -1= ;
y-2 y2-4 y+4
8 x
(2) +1= .
x2-4 x-2
17.(2023上·山东聊城·八年级校考期末)解方程:
x+1 2x
(1) = -1;
x-2 x+3
x+1 4
(2) - =1.
x-1 x2-1
18.(2023下·江苏常州·八年级校考期中)解方程:
2x-5 7-3x
(1) = -3;
x-2 2-x
2x -3
(2) = +2.
x+3 x-1
19.(2023上·山东滨州·八年级校考期末)解方程:
2 4
(1)1- = ;
3-x x-3
3 4x 1
(2) + = .
x-1 1-x2 x+1
20.(2023下·江苏镇江·八年级统考期末)解方程:4 3
(1) = ;
x x-1
x-1 3
(2) - =1.
x-2 (x+1)(x-2)
21.(2023上·新疆乌鲁木齐·八年级乌鲁木齐市第70中校考期末)解方程
x x+1
(1) =
x-3 x-1
x+1 4
(2) + =1
x-1 x2-1
22.(2023上·福建福州·八年级福州日升中学校考期末)解方程:
2 3
(1) = ;
x-3 x
1-x 1
(2) = -2.
x-2 2-x
23.(2023上·湖北十堰·八年级统考期末)解方程:
1 2
(1) =
2x x+3
x 2x
(2) -1=
x+1 3x+3
24.(2023上·湖南怀化·八年级溆浦县第一中学校考期中)解方程
x 2
(1) + =3
2x-1 1-2x
x 3
(2) -1=
x-1 (x+2)(x-1)
25.(2023下·四川巴中·八年级校考期中)解方程:
x 2x-2
(1) + =3;
x-1 x
5x-4 1 2x-5
(2) - = .
2x-4 2 3x-6
26.(2023下·江苏南京·八年级统考期末)解方程:
3 1
(1) - =0
x x-1
2x+9 4x-7
(2) = +2
3x-9 x-3
27.(2023上·湖南永州·八年级校考期中)解方程:2 3 1
(1) + = .
x+1 x-1 x2-1
x 2x-1
(2) - =1.
x-1 x2-1
1 1-2x
28.(2023下·安徽安庆·八年级统考期末)解方程: +2= .
2x-3 3-x
x-1 1
29.(2023上·陕西西安·八年级校考阶段练习)解方程: - =1
x x-1
x 6x+6
30.(2023下·新疆乌鲁木齐·八年级统考期末)解方程: - =1
x+1 x
x 3
31.(2023下·江苏·八年级统考期末)解方程: + =1
x+2 x-3
2x 3 1
32.(2023下·吉林长春·八年级校考期中)解方程: + =
x2-4 x+2 x-2
1 2-x
2+ =
33.(2023下·广东深圳·八年级校考期末)解方程:
x-3 3-x
.
¿
¿
2x 3
34.(2023下·安徽蚌埠·八年级统考期末)解方程: -2= .
x+1 x2-1
x+5 x+2 x+3 x+4
35.(2023·八年级单元测试)解方程: + = +
x+4 x+1 x+2 x+3
x 6
36.(2023上·四川泸州·八年级统考期末)解方程: -1= .
x-2 x(x-2)
2 x
37.(2023上·山东菏泽·八年级统考期末)解方程: - =1
x2-4 x+2
4x-3 2
38.(2023上·广东云浮·八年级统考期末)解方程: = .
x2+x x+1
3 x
39.(2023上·陕西渭南·八年级统考期末)解方程: -1= .
x2-9 3-x
6 3 5
40.(2023上·上海浦东新·八年级校考期中)解方程: = + .
x2-25 x2+8x+15 x2-2x-15