初一数学题

1、某工厂甲、乙、丙三个工人每天所生产的机器零件数是：甲和乙的比是3：4，乙和丙的比是5：6，若乙每天生产的件数比甲和丙两人的和少931件，问每个工人每天生产多少件？

2、已知初一(1)与初一(2)班各有44人，各有一些学生参加课外天文小组，(1)班参加天文小组的人数恰好是(2)班没有参加的人数的1/3，(2)班参加天文小组的人数是(1)班没有参加的人数的1/4，问两个班参加的人数各是多少？

3.某几关有三个部门，A部门有84人，B部门有56人，C 部门有60人。如果每个部门按照相同的比例裁减人员，使这个几关留下150人。求 C 部门留下的人数是多少?

4.某车间有60名工人，生产某种配套产品，该产品由一个螺栓赔两个螺母而成。每个工人每天平均生产螺栓14个或螺母20个。应该分配多少工人生产螺栓，多少工人生产螺母，才能使生产出的螺栓和螺母刚好配套？

一元一次方程的应用测试题（B卷）

一、填空题(每小题3分，共18分)

1．甲、乙二人在长为400米的圆形跑道上跑步，已知甲每秒钟跑9米，乙每秒钟跑7米．

(1)当两人同时同地背向而行时，经过__________秒钟两人首次相遇；

(2)两人同时同地同向而行时，经过__________秒钟两人首次相遇．

2．为改善生态环境，避免水土流失，某村积极植树造林，原计划每天植树60棵，实际每天植树80棵，结果比预计时间提前4天完成植树任务，则计划植树__________棵．

3．用一根绳子围成一个正方形，又用这根绳子围成一个圆，已知圆的半径比正方形的边长少2(π－2)米，请问这根绳子的长度是__________米．

4．某种鲜花进货价为每枝5元，若按标价的八折出售仍可获利3元，问标价为每枝多少元，若设标价为每枝x元，则可列方程为__________，解之得x=__________．

5．如果一个两位数上的十位数是个位数的一半，两个数位上的数字之和为9，则这个两位数是__________．

6．一种药品现在售价56．10元，比原来降低了15％，问原售价为__________元．

二、选择题(每小题3分，共24分)

7．李斌在日历的某列上圈出相邻的三个数，算出它们的和，其中肯定不对的是

A．20 B．33 C．45 D．

8．一家三口准备参加旅行团外出旅行，甲旅行社告知“大人买全票，儿童按半价优惠”，乙旅行社告知“家庭旅行可按团体计价，即每人均按全票的8折优惠”，若这两家旅行社每人的原价相同，那么

A．甲比乙更优惠 B．乙比甲更优惠

C．甲与乙同等优惠 D．哪家更优惠要看原价

9．飞机逆风时速度为x千米/小时，风速为y千米/小时，则飞机顺风时速度为

A．(x+y)千米/小时 B．(x－y)千米/小时

C．(x+2y)千米/小时 D．(2x+y)千米/小时

10．一列长a米的队伍以每分钟60米的速度向前行进，队尾一名同学用1分钟从队尾走到队头，这位同学走的路程是

A．a米 B．(a+60)米 C．60a米 D． 米

11．一项工程甲独做10天完成，乙的工作效率是甲的2倍，两人合做了m天未完成，剩下的工作量由乙完成，还需的天数为

A．1－（ + )m B．5－ m

C． m D．以上都不对

12．一条山路，某人从山下往山顶走3小时还有1千米才到山顶，若从山顶走到山下只用150分钟，已知下山速度是上山速度的1．5倍，求山下到山顶的路程．设上山速度为x千米/分钟，则所列方程为

A．x－1=5(1．5x) B．3x+1=50(1．5x)

C．3x－1= (1．5x) D．180x+1=150(1．5x)

13．某商品价格a元，降价10%后又降价10%，销售额猛增，商店决定再提价20%，提价后这种产品价格为

A．a元 B．1．08a元 C．0．972a元 D．0．96a元

14．《个人所得税条例》规定，公民工资薪水每月不超过800元者不必纳税，超过800元的部分按超过金额分段纳税，详细税率如下图，某人12月份纳税80元，则该人月薪为

全月应纳税金额 税率(%)

不超过500元 5

超过500元到2000元 10

超过2000元至5000元 15

…… ……

A．1900元 B．1200元 C．1600元 D．1050元

三、简答题(共58分)

15．(13分)用一根长40 cm的铁丝围成一个平面图形，(1)若围成一个正方形，则边长为__________，面积为__________，此时长、宽之差为__________．

(2)若围成一个长方形，长为12 cm，则宽为______，面积为______，此时长、宽之差为____．

(3)若围成一个长方形，宽为5 cm，则长为______，面积为______，此时长、宽之差为______．

(4)若围成一个圆，则圆的半径为________，面积为______(π取3．14，结果保留一位小数)．

(5)猜想：①在周长不变时，如果围成的图形是长方形，那么当长宽之差越来越小时，长方形的面积越来越______(填“大”或“小”)，②在周长不变时，所围成的各种平面图形中，______的面积最大．

16．(9分)某市中学生排球赛中，按胜一场得2分，平一场得1分，负一场得0分计算，市第四中学排球队参加了8场比赛，保持不败的记录，共得了13分，问其中胜了几场？

17．(9分)小赵和小王交流暑假中的活动，小赵说：“我参加科技夏令营，外出一个星期，这七天的日期数之和是84，你知道我是几号出去的吗？”小王说：“我假期到舅舅家去住了七天，日期数的和再加月份数也是84，你能猜出我是几月几号回家的？”试试看，列出方程，解决小赵与小王的问题．

18．(9分)一批树苗按下列方法依次由各班领取：第一班取100棵和余下的 ，第二班取200棵和余下的 ，第三班取300棵和余下的 ，……最后树苗全部被取完，且各班的树苗数都相等，求树苗总数和班级数．

19．(9分)李红为班级购买笔记本作晚会上的奖品，回来时向生活委员刘磊交账时说：“共买了36本，有两种规格，单价分别为1．80元和2．60元，去时我领了100元，现在找回27．60元”刘磊算了一下说：“你一定搞错了”李红一想，发觉的确不对，因为他把自己口袋里原有的2元钱一起当作找回的钱款交给了刘磊，请你算一算两种笔记本各买了多少？想一想有没有可能找回27．60元，试用方程的知识给予解释．

20．(9分)初一(4)班课外乒乓球小组买了两副乒乓球板，如果每人付9元，那么多了5元，如果每人付8元，那么还缺2元，请你根据以上情境提出问题，并列方程求解．

Class: Name: Mark:

听力部分（25%）

一、听句子。(本大题有5小题，每小题1分，共5分)

根据所听句子的内容和所提的问题，选择符合题意的图画回答问题，并将最佳选项的字母编号填在题前括号内。每小题听一遍。听每小题之前，你有5秒钟的时间阅读题目，听完后，你有5秒钟的答题时间。

（ ）1.What would Alice like to be in the future

( ）2. How does Jinny usually come to school?

( ）3. What’s Tony doing now ?

( ）4. What animal will the speaker go to see first?

( ）5. Which sports does Mike prefer?

二、听对话。(本大题有10小题，每小题1分，共10分)

根据所听对话内容回答每段对话后面的问题，在各题所给的三个选项中选出一个最佳答案，并将其字母编号填写在题前的括号内。每段对话听两遍。听每小题之前，你有5秒钟的时间阅读题目，听完后，你有5秒钟的答题时间。

听第一段对话，回答第6小题。

( )6．What is Miss Li?

A．She is a student． B She is a teacher. C She is a doctor.

听第二段对话，回答第7小题。

( )7．What will the woman do on Friday afternoon?

A. Go swimming B. Clean the house C. Go skating

听第三段对话，回答第8小题。

( )8．What are they doing?

A．Talking in the street． B Talking in the C1ass． C．Talking on the phone．

听第四段对话，回答第9小题。

( )9．Who broke the new cup?

A．Tom． B. Torn's mother C. Tom’s cat

听第五段对话，回答第10小题。

( )10．Where does the dialogue happen?

A．At the restaurant B . At a clothes shop． C．In the park．

听第六段对话，回答第11—12小题。

( )11．They are going to

A. go swimming． B. go boating． C．go fishing．

( )12．They are going to meet

A．at the park gate at nine Sunday morning

B． at the park gate at half past eight this Sunday morning

C． At the park at half past eight this Saturday morning

听第七段对话，回答第13—15小题。

( )13．Where are they?

A．They are at a hotel．B．They are at a school．C．They are at home。

( )14．How long will the man live there?

A．TWO nights。 B. Three nights C. Four days．

( )15．What is the price?

A．$10 a night． B. $50 two nights. C．$50 a night

三、听短文。(本大题有5小题，每小题1分，共5分)

请你根据所听的内容，在每小题给出的三个选项中，选出一个能完成句子的最佳答案，并将其字母编号填写在题前括号内。本题听两遍。听短文前，你有25秒钟的时间阅读题目，听完后，你有25秒钟的答题时间。

( )16．Jim went to his grandfather's homc ·

A．On a schoo1 day B. On a rainy day C．On a Sunday morning

( )17．The river was ·

A not deep(深) B. very deep C．a beach

( )18．Suddenly Jim fell into

A. a river B. a lake C. a well

( )19·——came to help him.

A．A man B.No one C．His grandfather

( )20．Jim the river at last．

A．walked out of B. waited in C．slept in

四、听填信息。(本大题有5小题，每小题1分，共5分)

听介绍朋友的短文，完成下面的信息采集表。本题听两遍。听短文前，你有25秒钟的时间阅读题目，听完后，你有25秒钟的答题时间。

Name

Mike

Age

(21)

From

(22)

Job

(23)

Telephone number

(24)

Hobby

(25)

笔试部分（95%）

五．选择填空。（本大题共20小题，每小题1分，共20分）

( )26. Thank you for _________me the good news

A．tell B. to tell C． telling D．told

( )27.— ______is the new TV ? — ＄1000.

A. How many B. How much C. What D. How

( )28. —________do you want to be an actor? —It’s very interesting.

A. What B．When C． How D．Why

( )29.Listen ！Who _______ in the classroom ?

A. is singing B. sing C. sings D. singing

( )30. Can you _____ it in English ?

A. speak B. say C. talk D. tell

( )31. —Would you like some drink? — _______.

A. Here you are B. Yes, just a little

C. Please give me some D. Yes, I like

( )32. ________late for school again.

A. Not B．Not be C．Don’t be D． Aren’t

( )33. —________noodles would you like? —I’d like beef noodles, please.

A. What kind of B．What size C. How many D．How much

( )34. There ______ orange juice in the bottle.

A. aren’t many B. aren’t much C. isn’t much D. isn’t many

( )35. Go straight and ___________left. The hospital is next to the post office.

A． turn B．take C．go D. come

( )36. I don’t go to school ________Sunday morning.

A. at B. on C. in D. for

( )37. The tall boy is good at_________ football.

A． play B．plays C．played D．playing

( )38. My friend ________a medium build and she ________medium height.

A．has, has B．is , is C．has, is D．is , has

( )39. —How was your vacation, Sarah? —________.

A. It’s pretty good B．It was pretty good C．It’s hot D．It was hot

( )40. — Henry, where ___ your pen pal come from?

—He is an Englishman，but he Beijing now.

A. does, lives B. do, live in C. does, lives in D. is, live

( )41 ______ some orange in the bottle.

A. There is B. There are C. There has D. There have

( )42The girl is _______ a book in bed.

A. watching B. seeing C. reading D. looking

( )43 My father _____ a large pizza.

A. would likes B. would like C. would to like D. is like

( )44There are nine ________ beside the window.

A. watchs B. mans C. children D. knifes

( )45. ---____? ---He is a police officer.

A. Who is your father B. What is your father do

C. What your father is D. What does your father do

六．完型填空。（本大题共10小题，每小题1分，共10分）

Mr Brown 46 a small shop in the middle of our city, and he 47 pictures in it. They’re not expensive, but some of 48 are very nice.

One day, a woman came 49 the shop and looked at a lot of pictures. Then she 50 Mr. Brown to one of them and asked:“ 51 is this picture?” It was a picture 52 horses in the field. “Twenty dollars.” Mr. Brown answered. “It’s 53 expensive I can you two dollars for it,” said the woman. “Two dollars ? But you 55 buy the canvas(油布)with two dollars.” “Oh, but it isn’t clean now,” the woman said.

( )46 . A has B have C there is D there are

( )47 . A draws B buys C sells D sees

( )48. A they B them C their D it

( )49 . A on B in C onto D into

( )50. A takes B took C taked D to take

( )51. A How much B How many C How often D How long

( )52. A on B with C from D of

( )53. A no B not C too D very

( ). A give B let C take D want

( )55. A can B can’t C are D aren’t

七．阅读理解。（本大题共15小题，每小题2分，共30分）

(A)

根据短文内容，从A，B，C，D四个选项中选出正确答案

Sue and Linda usually go to school by car. They drive past a cinema, a supermarket and a food shop. The food shop is next to the supermarket. Jack and Michael usually go to school by bus. They go past a bank and a post office. The bank is next to the post office. Mary usually goes to work by bike. She rides a bike past a police office, a library and a swimming pool.

( )56.How many people are there in this passage?

A. Two B. Three C. Four D. Five

( )57.Where is the bank?

A. It’s next to a swimming pool. B. It’s on the right

C. It’s next to a post office. D. It’s between a food shop and a cinema.

( )58.How does Linda go to school?

A. By bike. B. By bus. C. By car. D. We don’t know.

( )59.Where does Sue drive past?

A. A cinema. B. A post office. C. A park. D. A video arcade.

( )60.How does Michael go to school?

A. On foot B. By bus C. By bike D. By ship.

(B)

It’s Sunday morning．There are many people in the park，some boys are playing basketball．There are some girls under a big tree．They’re singing and dancing．What are those women doing? They are drinking tea．Look at the woman in a blue coat．Who's she? She’s my mother．She is talking to Lin Feng．Lin Feng is her student．He is a good student．He studies hard．He’s good at all the subjects． And he's friendly to all his teachers and his friends．

( )61．The boys are _________.

A．singing B．playing basketball C．dancing D．drinking

( )62．My mother is _______.

A．a teacher B．an office C．a doctor D．a woman

( )63．Lin Feng is in__________.

A．my home B．the classroom C．the zoo D．the park

( )．Who’s under a big tree? __________

A．Some people． B．Some women． C．Some girls． D．Some boys．

( )65．what color is my mother's coat? It’s _________.

A．blue B．white C．red D．yellow

(C)

TV PROGRAMMERS(节目)

Channel 1

Channel 2

18:00 Around China

17:45 Computers today

18:30 Cartoon network

18:10 Chinese arts

19:00 News

18:30 English classroom

19:30 Weather report

18:50 Animal world

19:40 Around the world

19:25 China’s 2004

20:10 TV play: Sisters

20:20 Sports

21:00 English for today

21:00 TV play: Big family

21:15 Popular music

21:45 English news

21:55Talk show

22:00 Music

( )66．You want to know something about Japan, you can watch________

A．Weather report B．China’s 2004 C．Around the world D．Animal world

( )67．You are a football fan. You may watch TV at___________.

A．19:00 on Channel 2 B．19:40Channel 1 C．20:20Channel 2 D．21:15Channel

( )68．How long does the TV play“sisters”last(持续)？

A．30 minutes B．50 minutes C．90 minutes D．120 minutes

( )69．You can watch _______if you want to learn English.

A．English news B．English classroom C．English for today D．A、B and C

( )70．Children often like to watch_________.

A．Cartoon network B．News C．Weather report D．Sports

八、看图短文填空(本大题共10小题，每小题1.5分，共15分)

阅读下面短文，并借助连环图和上下文补充所缺信息。每个空只能填写一个形式

正确、意义相符的单词。

June10th,Sundy Fine

It is Sunday.When I looked out of the the window ,I found the sun was shining ___71 in the sky. So I decided to go out for playing. While I was playing with a 72 ,a ___73__ was sitting nearby and ___74___ me. After an hour, maybe the dog thought it veryt interesting to play with a ball.And it wanted to have a try .Suddenly it jumped to the ball, caught it with its ___75 and ran ____76___ as fast as it could. I was unhappy and worried. But I didn’t know what to do. Just then my father came. Seeing this ,he ___77___ to me, “Don’t worry! Let me ___78____ you.” He called out to the dog, “Come over!’ To my__79___, the dog did come slowly to my father. Father took the ball 80 of the dog’s mouth and gave it back to me. I asked ,”Why can you get the ball?” He said with a smile,’It’s a scecret.”

九、读写综合。（15%）

(A) 信息归纳（本大题共5小题，每小题1分，共5分）

My friend Mary is a nice girl. She is from America. She is in No. 1 Middle School. She is 14. She has long curly hair. She is medium height. She wears glasses. Her favorite food is dumplings. Her favorite fruit is watermelons. Her favorite sport is basketball. She likes drawing and singing. She usually goes to school by bike, but sometimes on foot. Her mother is a doctor and her father is a manager. She has a happy family.

Name: Mary

Age: 14

Sex: _____81_______

School: No. 1 Middle School

Favorite: _________82________________

Hobby(爱好)： _______83_______________

How to go to school: ______84_____________

Mother: doctor

Father: ____85_______

(B) 小作文（15%）

仿照上面的信息，介绍你的笔友Tom。词数60词左右

听力材料

I 1.Alice likes painting best. She wants to be an art teacher in the future.

2. Janny usually comes to school by bus

3. It’s 7 o’clock. Tony is doing his homework.

4. Let’s go to see the panda first.

5. Mike profers swimming to fishing

II 1.A: Is everyone here today? Davie.

B: No. Miss Li , Jim is ill in bes. He can’t come to have class today.

2. A: Let’s go swimming on Friday afternoon, OK?

B: Sorry I can’t . I must clean the house that afternoon. 3. A: Hello, Is that Jam speaking ?

B: Speaking, please. 4. A: Tom, where’s my new cup?

B: I’m sorry . Mum, I broke it this morning. 5. A: Doctor, I feel not so good. I have headache.

B: You must have got a cold . 6. A: Kate , shall we go toating in the park this Sunday?

B: Good idea. Where and when shall we meet?

A: At the park gate at nine this Sunday morning.

B: Why not go a little earlier? What about half past eight?

A: OK.

7. A: Do you have a small roon for 2 nights? B: Yes .

A: What’s the price? B: Fine. $50 for a night with breakfast .

A: Could you show me ,please? B: Of course, just follow me

III. It was Sunday morning. Jim had no lessons . He had brakfast and went out . He wanted to go to grandfather’s home . Now he was only there . He walked and walked . He came to river. Suddenly , he fell int oth river . “Help, Help.” He waited in the water. But no one came over. He began to get up . Uh ha , the water wasn’t deep . he only came there half an hour later.

IV. I have a good friend , His name is Mike . He is 13 years old. He comes from America . He studies at NO1 Middle school. He works hard . His telephone number is 88074349. He likes singing and drawing. He often helps each other . I like him very much.

答案

I． 1—5 CBAAB II． 6—10 BBCAA 11—15 CBAAC III． 16—20 CAABA

IV． 21. 13/thirteen 22. America 23. student 24. 88074349 25. singing and drawing

V． 26—30 CBDAB 31—35 BCACA 36—40 BDCBC 41—45 ACBCD

VI． 46—50 ACBDB 51—55 ADBAB

VII． 56—60 DCCAB 61—65 BADCA 66—70 CCBDA

VIII． 71.brightly 72.ball 73. dog 74. watching 75. mouth 76. away 77. said 78.help 79 surprise 80. out

IX． 81.girl/female 82.dumplings watermelon and basketball 83. drawing and singing 84. by bike 85. Manager参

一、1．(1)25 (2)200 2．960 3．8π 4．80%x=5+3 10 5．36 6．66 二、7．A 8．B 9．C 10．B 11．B 12．D 13．C 14．C

三、15．(1)10 100 0 (2)8 96 4 (3)15 75 10 (4)6．4 128．6 (5)大 圆 四、16．设胜了x场，可列方程：2x+(8－x)=13，解之得x=5 17．小赵是9号出去的，小王是7月15号回家的(提示：可设七天的中间一天日期数是x，则其余六天分别为x－3，x－2，x－1，x+1，x+2，x+3，由题意列方程，易求得中间天数，对小王的情形，由于七天的日期数之和是7的倍数，因为84是7的倍数，所以月份数也是7的倍数，可知月份数是7，且在8号至14号在舅舅家．故于7月15号回家． 18．树苗共8100棵，有9个班级(提示：本题的设元列方程有多种方法，可以设树苗总数x棵，由第一、第二两个班级的树苗数相等可列方程： 100+ (x－100)=200+ 〔x－200－100－ ·(x－100)〕，也可设有x个班级，则最后一个班级取树苗100x棵，倒数第二个班级先取100(x－1)棵，又取“余下的 ”也是最后一个班级的树苗数的 ，由最后两班的树苗相等，可得方程： 100(x－1)+ x=100x若注意到倒数第二个班级先取的100(x－1)棵比100x棵少100棵，即得 =100，还可以设每班级取树苗x棵，得 =100． 19．购买单价1．80元的笔记本24本，单价2．60元的笔记本12本．如果按李红原来报的价格，那么设购买单价1．80元的笔记本x本，列方程可得：1．8x+2．6·(36－x)=100－27．60， 解之得x=2．60不符合实际问题的意义，所以没有可能找回27．60元． 20．略