人教版八年级上《15.1.2分式的基本性质》同步练习含答案

人教版八年级上《15

知识点1 分式的差不多性质

1．使得等式47＝4×m 7×m

成立的m 的取值范畴为( ) A ．m ＝0 B ．m ＝1

C ．m ＝0或m ＝1

D ．m ≠0

2．按照分式的差不多性质填空：

(1)8a2c 12a2b ＝2c （）； (2)2x x ＋3＝（）x2＋3x

. 4．不改变分式的值使下列分式的分子和分母都不含“－”号： (1)－3x －y ； (2)－2a a －b ； (3)2m －3n2； (4)－a 3b .

知识点2 约分

5．下列分式中最简分式是() A.a －b b －a B.a3＋a 4a2 C.a2＋b2a ＋b D.1－a －a2＋2a －1

6．约分：

(1)2m 6mn ＝________；

(2)（a －b ）（a ＋b ）（a ＋b ）2

＝________． 7．约分： (1)－16x2y320xy4；

(2)ab2＋2b b ；

(3)x2－4xy ＋2y

；

(4)a2＋6a ＋9a2－9

知识点3 通分

8．分式y 2x7与15x4的最简公分母是( )

A ．10x7

B ．7x7

C ．10x11

D ．7x11

9．(1)分式1ab2、53a2c 的最简公分母是________，通分为_____________

___；

(2)分式1a2－1、2a2－a

的最简公分母是________，通分为________________________．

10．通分：

(1)x 2y 与23xy2；

(2)2n n －2，3n n ＋3

中档题

11．(淄博中考)下列运算错误的是( ) A.（a －b ）2（b －a ）2＝1 B.－a －b a ＋b ＝－1 C.0.5a ＋b 0.2a －0.3b ＝5a ＋10b 2a －3b D.a －b a ＋b ＝b －a b ＋a

12．分式xy x ＋y

中的x ，y 的值都扩大到原先的2倍，则分式的值( ) A ．扩大到原先的2倍 B ．不变

C ．缩小到原先的12

D ．缩小到原先的14 13．在分式4y ＋3x 4a ，x2－1x4－1，x2－xy ＋y2x ＋y ，

a2＋2ab ab －2b2中，是最简分式的个数有( )

A ．1个

B ．2个

C ．3个

14．化简：

(1)5m3n215m2n3＝________；

(2)y －x

x2－y2＝________．

15．通分：

(1)4a 5b2c ，3c 10a2b ，5b

－2ac2；

(2)1x2－4，3

4－2x .

16．先化简，再求值： (1)x ＋2y x2－4y2

，其中x ＝5，y ＝3.5；

(2)3a2－ab 9a2－6ab ＋b2

，其中a ＝34，b ＝－23.

17．(广东中考)从三个代数式：①a2－2ab ＋b2，②3a －3b ，③a2－b2中任意选择两个代数式构造成分式，然后进行化简，并求当a ＝6，b ＝3时该分式的值．

综合题

18．(1)已知x ＝2y ，求分式2x －y x ＋3y 的值；

(2)已知1x －1y ＝3，求分式

2x －3xy －2y x ＋2xy －y 的值．

参考答案

1.D

2.(1)3b (2)2x2

3.②④

4.(1)3x y .(2)2a b －a .(3)－2m 3n2.(4)－a 3b .

5.C

6.(1)13n (2)a －b a ＋b

7.(1)原式＝－4x 5y . (2)原式＝ab ＋2. (3)原式＝x －2y . (4)原式＝a ＋3a －3.

8.A 9.(1)3a2b2c 3ac 3a2b2c 、5b23a2b2c (2)a(a ＋1)(a －1) a a （a ＋1）（a －1）、2（a ＋1）a （a ＋1）（a －1） 10.(1)最简公分母是6xy2.x 2y ＝x ·3xy 2y ·3xy ＝3x2y 6xy2，23xy2＝2×23xy2×2＝46xy2

(2)最简公分母是(n －2)(n ＋3).2n n －2＝2n （n ＋3）（n －2）（n ＋3）＝2n2＋6n n2＋n －6，3n n ＋3＝3n （n －2）（n ＋3）（n －2）＝3n2－6n n2＋n －6. 11.D 12.A 13.C 14.(1)m 3n (2)1－x －y 15.(1)4a 5b2c ＝8a3c 10a2b2c2，3c 10a2b ＝3bc310a2b2c2，5b －2ac2＝－25ab310a2b2c2. (2)1x2－4＝22（x ＋2）（x －2），34－2x ＝－3（x ＋2）2（x ＋2）（x －2）. 16.(1)原式＝1x －2y .当x ＝5，y ＝3.5时，原式＝－12. (2)原式＝a 3a －b .当a ＝34，b ＝－23时，原式＝935. 17.共有六种运算方法和结果，分不是：(1)a2－2ab ＋b23a －3b

＝a －b 3＝1. (2)交换(1)中分式的分子和分母的位置，结果也为1. (3)a2－b23a －3b ＝a ＋b 3＝3. (4)交换(3)中分式的分子和分母的位置，结果为13. (5)a2－2ab ＋b2a2－b2＝a －b a ＋b ＝13

. (6)交换(5)中分式的分子和分母的位置，结果为3. 18.(1)将x ＝2y 代入得：2x －y x ＋3y ＝4y －y 2y ＋3y ＝3y 5y ＝35. (2)由已知条件可知，xy ≠0.原式＝（2x －3xy －2y ）÷（－xy ）（x ＋2xy －y ）÷（－xy ）

＝2（1x －1y ）＋3（1x －1y ）－2. ∵1x －1y ＝3，

∴原式＝2×3＋33－2＝9.

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一、单项选择（30分） 1. M y sister didn’t finish __his homework until 10 last night. A. to do B. doing C. did 2. --- Can you go shopping with me?--- I’d love to, but I ____. I have much work to do. A.am not B.can C.can't D. don’t 3.Y esterday I _____an English c lass of Mr. Green’s. It’s funny. I would like him to be my teacher. A. listened B. taught C. gave D. had 4. --Can you go fishing with me? --Sorry. I have ___ homework to do, I can’t go with you. A. little B. a little C. a few D. few 5. --- Thank you for ______ me _____ my bike riding. --- Y ou are welcome. A. help, about B. helping, with C. helped, with D. helping, to 6. --- Why didn’t you come to my party?--- Sorry, but little dogs ______ ill and I had to look after them. A. were B. was C. are D. is 7. --- What are you going to do______Monday night?--- Nothing. Do you have any good ideas? A.in B at C.on D. for 8. A number of students in our class ____boys. A.was B. were C. is D. are 9. --- Where are your students in you class from?--- One is from HK and _____ are from Hangzhou. A.others B.the other C. another D.the others 10. He will stay in Beijing for _______ days. A. a little B. little C. a few D. few 11. She looks ______ because she has a ______ vacation. A. relaxed, relaxed B. relaxing, relaxing C. relaxing, relaxed D. relaxed, relaxing 12 Mother wants me ________ milk every day. A. drink B. to have C. to eat 13. --- ________ is your birthday party? --- This Friday. A How long B. How soon C. How often D. When 14. --- _____________--- It’s Monday, May 2nd. A. What’s today? B. When is today? C. How’s today? D. How’s the weather today? 15. --- Can you come to play soccer with me?--- _______. I must study for the test. A. Y es, I can B. I’d like to C. Sorr y D. Sure 16. --- Why didn’t you come to my party?--- I ___ stay at home, because my mother was ill. A. has to B. have to C. had D. had to 17. Li Wei with his friends _______ work on the farm next week. A. goes to B. go to C. are going to D. is going to 18. The number of students in our class ____ about 45.A.was B. were C. is D. are 19. --- Thanks _______helping me _______my math.--- Y ou are welcome. A. for, about B. to, with C. for, with D with, for 20. --- Can you come to play soccer with me?--- _______. I must study for the test. A.I can B. That's a good idea C. OK. I'd love to D. I’m sorry 21. What do you usually do _______ Saturdays? A. at B. on C. in 22. I’m sorry I have to _____for the English test. A. studyB. studiesC. studying 23. Can you ______ to my birthday party? A. visit B. go C. come 24. Thanks for ___________. A. asking B. ask C. asks 25.On Wednesday, I’m ___tennis with the school team. A. play B. playing C. am playing 26. A: Must I clean my room, mom? B: No, you _____.A. don't B. needn'tC. aren't 27. His shoes are _______ than her shoes.A. newer B. new C. old D. oldest 28. Which is _________, an elephant or a pig? A. heavier B. heavy C. more heavy D. heavyer 29. She is than me at drawing.A. better B. best C. good D. well 30. This cake is _______ than that one.A. small B. big C. biger D. bigger 二、用所给词的适当形式填空。（10分） 1. The picture is _________________ (beautiful) than the other one. 2.Changjiang River is ________ than Y ellow River. (long). 3. ___________ (America) people are really friendly. 4. --- Are you free tomorrow? --- No. I am _________ (leave) for Hangzhou to work. 5. He finished ________(write) a letter to his parent yesterday. 6. We must _______ (work) hard at our lessons. 7. Look! The boy _________(read) under the tree. 8. He is _______(good) at English than me. 9. My sister enjoy_________(sing) all the time. 10. We ________(watch) TV tomorrow evening. 三、句型转换（20分） 1.We often go to sports camp on Sundays.（用next Sunday改为将来时）We’re ________ _________ sports camp next Sunday. 2.I have a headache. （对画线部分提问） _______ _______ _______ _______ you? 3.She usually plays soccer on weekends. （对画线部分提问） _______ _______ she usually _______ on weekends? 4.Lily eats vegetables three times a week. （对画线部分提问） _______ _______ _______ _______ Lily eat vegetables? 5.My parents were repairing the computer at this time yesterday.（对画线部分提问）

(完整word)八年级上册英语考试卷

八年级上学期分级英语试卷第一部分：基础知识运用（共两节；满分30分）第一节：单项选择填空。（共20小题；每小题1分，满分20分）根据题意，从A、B、C三个选项中选择一个可以填入空白处的最佳答案 ( )1. --Could you please _____ your watch to me? --OK. Here you are. A. show B. to show C. showing ( )2. --What does Mary do after she gets up? --She always ______her bed. A. does B. makes C. sweeps ( )3. --Why don't they go to play baseball? -- ________ A. It's interesting. B. It's boring. C. That sounds great. ( )4. --It's fun to play ______ my little dog. --I don't think so. A. with B. of C. from ( )5. --Where is Mary's skirt? --______is on the bed. A. She's B. Her C. Hers ( )6. --Who is _____taller, Lily or Lucy? --Lily. A. a little B. very C. quite ( )7. --When was Tom born? --He was born ______December 10th,1968. A. on B. in C. at ( )8. --What makes them ______we come from Australia? --The way you speak. A. to think B. think C. thinking ( ) 9. --What is your brother going to be in the future? --He wants to be a great_______. A. drum B. policewoman C. pianist ( )10. --Jim can play _______soccer very well. What about you? --I can play _______piano very well. A. /; the B./; / C. the; / ( )11. --Did the boy see ______tigers in the zoo? --Yes, he saw_____. A. some; some B. any; some C. some; any ( )12. --Let's go _____for vacation next month. --That's great. A. somewhere interesting B. anywhere interesting C. interesting somewhere ( )13. --Did they have fun ______ English yesterday? --Yes, they did. A. learning B. study C. learns ( )14. The pears are too big. You can _______first. A. cut them up B. cut it up C. cut up them