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2016年初三教学质量调研测试卷

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2016年初三教学质量调研测试卷(一)
江苏省苏州市2016年初三数学教学质量调研测试卷

2016年初三教学质量调研测试卷

数 学

注意事项:

1.本试卷共三大题,28小题,满分130分,考试时间120分钟;

2.答题前,考生务必将自己的姓名、考点名称、考场号、座位号用0. 5毫米黑色墨水签字笔填写在答题卡相对应的位置上;

3.答选择题必须用2B铅笔把答题卡上对应题目的答案标号涂黑,如需改动,请用橡皮擦干净后,再选涂其他答案;答非选择题必须用0. 5毫米黑色墨水签字笔写在答题卡指定的位 置上,不在答题区域内的答案一律无效,不得用其他笔答题(作图可用铅笔);

4.考生答题必须答在答题卡上,答在试卷和草稿纸上一律无效.

一、选择题 本大题共10小题,每小题3分,共30分.在每小题给出的四个选项中,只有一

项是符合题目要求的.请将选择题的答案用2B铅笔涂在答题卡相应位置上.

1. 下列各个实数中,无理数是

A. 2 B. 3.14 C.

2. 计算xx的结果正确的是

A. x B. x C. x D. x

3. 函数,y569327

D. 131中自变量x的取值范围是 x3

A. x3 B. x3 C. x3 D. x3

4.

若实数m则估计m的值所在范围正确的是

A. m2 B. m3 C. m4 D. m5

5. 右图为某物体简化的主视图和俯视图,猜想该物体可能是

A.光盘 B.双层蛋糕

C.游泳圈 D.铅笔

6. 如图,在菱形ABCD中,EF//AB,对角线AC交EF

于点G,那么与BAC相等的角的个数有(BAC除外)

A. 3个 B. 4个

C. 5个 D. 6个

个单位时,y的值将

A.增加4个单位 B.减小4个单位 C.增加2个单位 D.减小2个单位

7. 对于某个一次函数,当x的值减小1个单位,y的值增加2个单位,则当x的值增加2

8. 如图为函数y是 11y的图像,类比反比例函数,下面对函数性质的描述不正确的...x3x3

A. x、y值的都不为0 B. 图像关于原点中心对称

C. 图像与x轴、y轴没有交点 D. 函数值y随着x的增大而减小

9. 如图,ABC内接于⊙O,作ODBC于点D,若A60,则OD:CD的值为

A. 1:2

B. 1:

C.

D.

10. 如图,点A在反比例函数y3(x0)的图像上移动,连接OA,作OBOA,并x

满足OAB30.在点A的移动过程中,追踪点B形成的图像所对应的函数表达式为 A. y31(x0) B. y(x0)

xx

1x0) D. y(x0) 3xC. y

二、填空题:本大题共8小题,每小题3分,共24分.把答案直接填在答题卡相应位置上.

11. 一组数据2, 3, 5, 6, 6的中位数为.

12. 据太仓市统计局3月10日统计公报,截止2015年底,我市常住人口为709 500人.数据 709 500用科学记数法表示为13. 因式分解:2x8x14. 若多边形的每一个内角都等于135°,则这个多边形的边数是 15. 把二次函数yxbxc的图像向下平移1个单位长度,再向左平移2个单位长度后,

得到的抛物线的顶点坐标为(-1, 0),则bc的值为 .

16. 如图,在正方形ABCD中,点E为AD的中点,连接EC,过点E作EFEC,交AB

于点F,则tanECF= . 23

17. 如图,水平面上有一个坡度i=1:2的斜坡AB,矩形货柜DEFG放置在斜坡上,己知

DE=2.5m. EF=2m, BF=3.5m,则点D离地面的高DH为m.(结果保留根号)

18. 如图,在ABC中,AB=4, D是AB上的一点(不与点A、B重合),DE//BC,交AC

于点E,则SDEC的最大值为 . SABC

三、解答题:本大题共10小题,共76分.把解答过程写在答题卡相应位置上,解答时应写 ........

出必要的计算过程、推演步骤或文字说明.作图时用2B铅笔或黑色墨水签字笔.

19. (本题满分5分) 计算

: (1)

20. (本题满分5分) 解不等式组:

x12

2(1x)5.

21. (本题满分6分) 先化简,再求值: 3x3x),其中x3x2x

22. (本题满分6分) 甲、乙两公司为“见义勇为基金会”各捐款30 000元.己知乙公司比甲

公司人均多捐20元,且甲公司的人数比乙公司的人数多20%.甲、乙两公司各有多少人?

23. (本题满分8分) 如图,在矩形ABCD中,以点A为圆心,AB长为半径画弧,交CD于点E,连接AE、BE.作BFAE于点F.

(1)求证:BFAD;

(2)

若EC1,FEB67.5,求扇形ABE的面积(结果保留

).

24. (本题满分8分)甲、乙、丙三位同学在操场上互相传球,假设他们相互间传球是等可能

的,并且由甲首先开始传球.

(1)经过2次传球后,球仍回到甲手中的概率是;

(2)请用列举法(画树状图或列表)求经过3次传球后,球仍回到甲手中的概率;

(3)猜想并直接写出结论:经过n次传球后,球传到甲、乙这两位同学手中的概率:P(球传

到甲手中)和P(球传到乙手中)的大小关系.

25. (本题满分8分,如图,一次函数yaxb与反比例函数yk(x0)的图像交于点A,x

与x轴、y轴分别交于点B、C,过点A作ADx轴于点D,过点D作DE//AB,交y轴于点E.己知四边形ADEC的面积为6.

(1)求k的值;

(2)若AD3OC,tanDAC2,求点E的坐标.

2016年初三教学质量调研测试卷(二)
2016年九年级一轮质量调研试题

2016年九年级一轮质量调研试题

英语

第Ⅰ卷(选择题 共45分)

【2016年初三教学质量调研测试卷】

一、听力测试(共15小题,计15分)

(一)听句子,选择与句子内容相对应的图片。每个句子读两遍。

A B

C

D E (涂AB) F(涂CD)

1. 2. 3. 4. 5. _____

(二)听对话和问题,根据所听内容,选择最佳答案。对话和问题都读两遍。

6. A. Movies. B. Clothes. C. Sports.

7. A. Glass. B. Cotton. C. Leaves.

8. A. At school. B. In the hospital. C. In a restaurant.

9. A. The post office. B. The swimming pool. C. The Zoo.

10. A. Apples. B. Beef. C. Tomatoes.

(三)听短文,根据短文内容,判断下列句子正误,正确的用―A‖表示,不正确的用―B‖表示。短文读两遍。听短文前,你们有20秒钟的时间阅读下列句子。

11. The woman’s name is Lucy.

12. The woman is going to talk about Young Volunteers.

13. You need to think about your interests first.

14. Don't be angry if you don't get the job you want right away.

15. The woman gave all information about the job.

请考生们翻到第6页,先找到第四大题的B) 部分。你们将有5秒钟的准备时间。

二、单项填空(共15小题,计15分)

选择最佳答案。

16. The film is worth seeing _________ second time—it reminds me of ________ happy old days I

spent in the country.

A. a; the B. the; 不填 C. a; 不填 D. the; the

17. Tim is a friendly boy and we all like .

A. them B. him C. his D. her

autumn.

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

19. Hurry up, you will miss the New Year Party.

A. and B. but C. so D. or

20. — volleyball is this?

—It must belong to Grace. She loves volleyball.

A. Whose B. Which C. What D. Who

21. Although grandma is in her seventies, she is willing new things.

A. learn B. learning C. to learn D. learned

22. April 23rd is the World Reading Day. What should we do on that day?

23. Tom very hard to learn maths, but he was still not good at it.

A. tries B. tried C. is trying D. will try

24. She used ________ on the right in China, so she is not used _________ on the left in England at

first.

A. to drive; to drive B. to drive; drive

C. to driving; to driving D. to drive; to driving

25. I’m than Jack, so I can carry this heavy box.

A. strong B. stronger C. strongest D. the strongest

26. —Do you want to watch Kung Fu Panda with me?

—Yes,I like movies

A. What B. who C. that D. where

27. —Is that woman Mrs. Yang?

—No,she be Mrs. Yang. Mrs. Yang has gone to Shanghai.

A. can’t B. needn’t C. mustn’t D. won’t

28. Potato chips

A. invent B. invented C. were invented D. are invented

29. —How is your head teacher?

—Our head teacher is ________ with us and I usually feel nervous in his lesson.

A. kind B. strict C. pleased D. soft

30. – Tell me _____ my phone, Sam.

–It was just beside the briefcase, grandma.

A. where will you find B. where you will find

C. where did you find D. where you found

三、阅读理解

(一) 阅读短文,完成36—45小题。(共10小题,计10分)

A

Three rich ladies met every day by the river. They sat there and talked the whole day. Once the three ladies quarreled(争吵). One of them said. ―Look, how white and beautiful my hands are!‖ Another one said, ―My hands are more beautiful.‖ The third one said, ―Mine are the most beautiful ones.‖ An old beggar(乞丐) woman came up to them. ―Beautiful ladies,‖ she said, ―I’m hungry. Please give me something to eat.‖

But the three ladies gave her nothing. They only asked, ―Tell me, old woman, which one of us has the most beautiful hands?‖

A peasant(农民)woman was also sitting by the river. She was poor and her hands were rough(粗糙的) because of hard work. The old woman came up to her and said, ―I’m hungry. Please give me something to eat.‖ The peasant woman took out her only cake she had and gave her a half.

The old woman ate it and drank some water. Then she took the peasant woman by the hand, brought her before the rich ladies and said, ―Now, I shall tell you whose hands are the most beautiful. The hands of the poor peasant woman are rough because of work, but they give us food; they are far more beautiful than your hands which have never done anything.‖

根据短文内容判断句子的正误,正确的用“A”表示,不正确的用“B”表示

31. The three ladies quarreled one day in a boat.

32. The third lady had the most beautiful hand.

33. An old beggar woman came to the three rich ladies to ask for some food first.

34. The peasant woman had a lot of food.

35. The peasant woman was much kinder than the rich ladies.

B

As the word becomes increasingly populated, it is also becoming alarmingly polluted.

Fortunately , there are many ways that you can help deal with the negative effects that we impose(施加)on the environment . One of these is driving an electric car.

Electric cars produce about 80 percent less pollution than cars

with gas-powered motors. In fact, the only reason that electric cars

produce any pollution at all is that their electric energy is produced by

power plants. Electric cars themselves produce no waste. When

energy comes from large sources such as power plants, it’s easier to control, so there’s less waste than if the energy is produced by many smaller sources, such as the gas engines in individual cars.

Furthermore, electric cars are simply more efficient than gas-powered cars for several reasons. First, electric cars have regenerative braking, which means that when you use the brakes in an electric car , the battery has a chance to recharge (再充电).On the contrary , when you brake in a gas-powered car ,you actually use energy . Also, during the production of electric cars, more time and energy is spent making the design lighter and more aerodynamic so that there will be less drag(阻力) from the wind. This allows them to travel farther using less energy than a gas-powered car would use to go the same distance.

In addition to the environmental benefits of driving electric cars, there are also financial and

time-saving benefits for the drivers. For one, they cost less to maintain (维修). The cost of charging an electric car is about 20 percent of the cost of gas, and electric cars require far less maintenance than gas-powered cars. This is due, in part, to the fact that electric cars have no cooling system, fan belts, radiators, hoses, or oil-just a battery. There are fewer moving parts overall, so there are fewer possible

problems. Also, after the body of an electric car gives out, the engine can be reused in another body.

Electric cars can also save people time. While gas-powered cars require visits to a mechanic every few months, the only routine maintenance required by electric cars is replacing the battery every four years.

Overall, there are numerous benefits of driving an electric car. It may take a little getting used to, but in the long run, the use of electric cars can help preserve the environment and give people more time and money to be put to better use.

根据短文内容,选择最佳答案。

36. What can we learn from the first paragraph?

A. The environment is becoming more and more polluted.

B. There are not so many people on the earth.

C. We can only deal with the negative effects by driving electric cars.

D. We will have to have more and more electric cars.

37. What can we learn from the second paragraph?

A. Less than 80 percent pollution is produced by cars.

B. Gas-powered cars get energy from power stations.

C. Electric cars themselves don’t produce any waste.

D. It’s difficult to control energy from power plants.

38. According to the passage, which of the following is TRUE?

A. The battery can be reused after the body of an electric car gives out.

B. Replacing the engine every four years is required for an electric car.

C. It may take no time to see the popularity of driving electric cars.

D. Electric cars cost less to maintain because of fewer moving parts.

39. What is the writer’s purpose of writing this passage?

A. To compare two kinds of cars.

B. To show a new way of driving.

C. To suggest driving electric cars.

D. To introduce a useful invention?

40. Which is the best title of the passage?

A. The Best Way to Protect the Environment

B. Electric Cars are Worthy of a Second Look

C. The Greatest Invention in the New Century

D. Driving Electric Cars Saves Times and Money

C

根据短文内容, 从方框中选出五个句子填入文中空缺处, 使短文内容完整正确。答案E用―AB‖表示,答案F用―CD‖表示。【2016年初三教学质量调研测试卷】

How to Be a Better Student

Maybe you are a common student. You probably think you will never be a top student. Anyone can become a better student if he or she wants to. Here's how:

Plan your time carefully. When you plan your week, you should make a list of things that you have to do. After making this list, you should make a schedule of your time. First set your time for eating, sleeping, dressing, etc. Then decide a good, regular time for studying. A weekly schedule may not solve all your problems, but it will force you to realize what is happening to your time.

Look around the house for a good study area. Keep this space, which may be a desk or simply a corner of your room, free of everything but study materials. No games, radios, or television!

When you sit down to study, concentrate on the subject.

Make good use of your time in class. Take advantage of class time to listen to everything the teachers say. Taking notes will help you remember what the teacher says.

Study regularly. When you get home from school, go over your notes, review the important points that your teacher is going to discuss the next day, read that material. This will help you understand the next class. If you do these things regularly, the material will become more meaningful, and you will remember it longer.

Develop a good attitude about tests. The purpose of a test is to show what you have learned about a subject. They help you remember your new knowledge. The world won't end if you don't pass a test, so don’t be over worried.

(二D

My friend Brett had just got a bike. A lot of kids in my neighborhood knew how to ride. I also wanted to ride, but all the boys told me I couldn’t do it because I was a girl. I decided to prove them wrong, so Brett let me try his bike. I wasn’t on for one minute before I fell off. He came over to see if I was OK, but then started laughing.

That night I told my dad the whole story about how I wanted to be

as good as boys. A few days later my dad told me he had found a nice

bike. He brought it home and that was when I became the laughing

stock (笑柄) of the neighborhood. All the boys thought it was a joke that

I actually wanted to learn how to ride.

My dad spent four long weeks teaching me everything I needed to

know about the bike and the basics of riding. Day after day and night after night he worked with me, and I began to progress.

Each ride on my dirt bike, I got a little better, and finally I was ready for my first time on a trip with some boys. At first I couldn’t keep up and the boys had to wait for me. My bike often got stuck in the muddy creeks.

Every time I came back, I would cry, and every time I cried my dad was there to put his arms around me. He would tell me not to listen to them and that with more practice, I would be as good as others or better than them.

【2016年初三教学质量调研测试卷】

Things eventually got easier, as if I could ride with my eyes closed. I am still made fun of, not because I’m an amateur (技术不熟练的人) or not good, but because they felt threatened that a girl can do what they did.

2016年初三教学质量调研测试卷(三)
2016年质量调研检测试卷九年级数学

2016年质量调研检测试卷九年级数学

一、选择题(本大题共6小题,每小题2分,共12分.在每小题所给出的四个选项中,

有一项是符合题目要求的,请将正确选项前的字母代号填涂在答题卡相应位置上) .......1.计算-3+︱- 5︱的结果是( ▲ ) A. -2

B. 2 C. -8

D. 8

2.在 “2015高淳国际马拉松赛”中,有来自肯尼亚、韩国、德国等16个国家和地区约10100名 马拉松爱好者参加,将10100用科学记数法可表示为( ▲ )

A.10.1×103 B.1.01×104 C.1.01×105 D. 0.101×104 3.计算(-a2)3的结果是( ▲ )

A.a5 B.-a5 C.a6 D.-a6 4.甲、乙、丙、丁四位同学五次数学测验成绩统计如右表所示.如果从这四位同学中,选出一位成绩较好且状态稳定的同学参加全国数学联赛,那么应选( ▲ )

A.甲 B.乙 C.丙 D.丁

5.将如图所示的Rt△ABC绕直角边AB旋转一周,则所得几何体的主视图为( ▲ )

A. B. C. D. 6.如图,矩形ABCD中,AB=3,BC=4,点P从A

A→B→C的方向在AB和BC上移动.记PA=

x,点

D

的距离为y

,则y关于x的函数关系的大致图象是( )

D

CB

(第5题)

二、填空题(本大题共10小题,每小题2分,共20分.不需写出解答过程,请把答案直接

填写在答题纸相应位置上) .......7.4的平方根是.

x8.函数y=中自变量x的取值范围是 ▲ .

x-1

9.化简 12+3

1

的结果为 3

10.同时抛掷两枚材质均匀的硬币,出现“一正一反”的概率为.

k

11.已知反比例函数y=A(-3,2),则当x=-2时,y= ▲ .

x12.如图,四边形ABCD是⊙O的内接四边形,∠BOD=100°,则∠BCD=. x1+x213.一元二次方程x2+mx+2m=0(m≠0)的两个实根分别为x1,x2,则 =.

x1x214.如图,在Rt△OAB中,∠AOB=45°,AB=2,将Rt△OAB绕O点顺时针旋转90°得到

Rt△OCD,则AB扫过的面积为

(第12题)

A

O (第14题)

B

D

15.二次函数y=a x2+bx+c(a≠0)中的自变量x与函数值y的部分对应值如下表:

则a x2+bx+c =0的解为 ▲ .【2016年初三教学质量调研测试卷】

16.如图,在矩形ABCD中,AB=5,BC=6,点E是AD上一点,把△BAE沿BE向矩形内

部折叠,当点A的对应点A1恰落在∠ADC的平分线上时,DA1= ▲ .

三、解答题 (本大题共11小题,共88分.请在答题卡指定区域内作答,解答时应写出文字

说明、证明过程或演算步骤)

2x-1<5,①

17.(6分)解不等式组3x+1并把它的解集在数轴上表示出来.

-1≥x,②2

a+2a2-41

18.(6分)先化简,再求值:÷1,其中a

2a+3 a+3a

19.(8分)中考体育测试前,某区教育局为了了解选报引体向上的初三男生的成绩情况,随

机抽测了本区部分选报引体向上项目的初三男生的成绩,并将测试得到的成绩绘成了下面两幅不完整的统计图:

(第17题)

53个 个及以上

请你根据图中的信息,解答下列问题:

(1)写出扇形图中a= ▲ %,并补全条形图;

(2)在这次抽测中,测试成绩的众数和中位数分别是 ▲ 个 、 ▲ 个.

(3)该区体育中考选报引体向上的男生共有1800人,如果体育中考引体向上达6个以上 (含6个)得满分,请你估计该区体育中考中选报引体向上的男生能获得满分的有多少名?

20.(8分)某种电子产品共4件,其中有正品和次品.已知从中任意取出一件,取得的产品

1

为次品的概率为

4(1)该批产品有正品 ▲ 件;

(2)如果从中任意取出2件,求取出2件都是正品的概率.

21.(8分)如图,□ABCD中,AC与BD相交于点O,AB=AC,延长BC到点E,

使CE=BC,连接AE,分别交BD、CD于点F、G. (1) 求证:△ADB≌△CEA; (2) 若BD=6,求AF的长.

22.(8分)某班数学兴趣小组为了测量建筑物AB的高度,他们选取了地面上一点E,测得

DE的长度为8.65米,并以建筑物CD的顶端点C为观测点,测得点A的仰角为45°, 点B的俯角为37°,点E的俯角为30°. (1)求建筑物CD的高度; (2)求建筑物AB的高度.

(3 ≈1.73,sin37°≈

B

D (第22题)

E

BC (第21题)

E

A

D

343

,cos37°≈,tan37°≈) 554

A

23.(8分)某花圃用花盆培育某种花苗,经试验发现每盆花的盈利与每盆花中花苗的株数有

如下关系:每盆植入花苗4株时,平均单株盈利5元;以同样的栽培条件,若每盆每增加1株花苗,平均单株盈利就会减少0.5元.要使每盆花的盈利为24元,且尽可能地减少成本,则每盆花应种植花苗多少株?

24.(9分)已知二次函数y=2x2+b x-1.

(1)求证:无论b取什么值,二次函数y=2x2+b x-1图像与x轴必有两个交点. (2)若两点P(-3,m)和Q(1,m)在该函数图像上. ①求b、m的值;

② 将二次函数图像向上平移多少单位长度后,得到的函数图像与x轴只有一个公共点?

25.(8分)如图,四边形ABCD 内接于⊙O,BD是 ⊙O 的直径,过点A作AE⊥CD,交

CD的延长线于点E,DA平分∠BDE . (1)求证:AE是⊙O的切线;

(2)已知AE=8cm,CD=12cm,求⊙O的半径.

(第25题)

2016年初三教学质量调研测试卷(四)
太仓市2016年初三数学教学质量调研测试卷

2016年初三教学质量调研测试卷

数 学 2016.5

注意事项:

1.本试卷共三大题,28小题,满分130分,考试时间120分钟;

2.答题前,考生务必将自己的姓名、考点名称、考场号、座位号用0. 5毫米黑色墨水签字笔填写在答题卡相对应的位置上;

3.答选择题必须用2B铅笔把答题卡上对应题目的答案标号涂黑,如需改动,请用橡皮擦干净后,再选涂其他答案;答非选择题必须用0. 5毫米黑色墨水签字笔写在答题卡指定的位 置上,不在答题区域内的答案一律无效,不得用其他笔答题(作图可用铅笔);

4.考生答题必须答在答题卡上,答在试卷和草稿纸上一律无效.

一、选择题 本大题共10小题,每小题3分,共30分.在每小题给出的四个选项中,只有一

项是符合题目要求的.请将选择题的答案用2B铅笔涂在答题卡相应位置上.

1. 下列各个实数中,无理数是

A. 2 B. 3.14 C.

2. 计算xx的结果正确的是

A. x B. x C. x D. x

3. 函数,y569327

D. 131中自变量x的取值范围是 x3

A. x3 B. x3 C. x3 D. x3

4.

若实数m则估计m的值所在范围正确的是

A. m2 B. m3 C. m4 D. m5

5. 右图为某物体简化的主视图和俯视图,猜想该物体可能是

A.光盘 B.双层蛋糕

C.游泳圈 D.铅笔

6. 如图,在菱形ABCD中,EF//AB,对角线AC交EF

于点G,那么与BAC相等的角的个数有(BAC除外)

A. 3个 B. 4个

C. 5个 D. 6个

个单位时,y的值将

A.增加4个单位 B.减小4个单位 C.增加2个单位 D.减小2个单位

【2016年初三教学质量调研测试卷】

7. 对于某个一次函数,当x的值减小1个单位,y的值增加2个单位,则当x的值增加2

8. 如图为函数y是 11y的图像,类比反比例函数,下面对函数性质的描述不正确的...x3x3

A. x、y值的都不为0 B. 图像关于原点中心对称

C. 图像与x轴、y轴没有交点 D. 函数值y随着x的增大而减小

9. 如图,ABC内接于⊙O,作ODBC于点D,若A60,则OD:CD的值为

A. 1:2

B. 1:

C.

D.

10. 如图,点A在反比例函数y3(x0)的图像上移动,连接OA,作OBOA,并x

满足OAB30.在点A的移动过程中,追踪点B形成的图像所对应的函数表达式为 A. y31(x0) B. y(x0)

xx

1x0) D. y(x0) 3xC. y

二、填空题:本大题共8小题,每小题3分,共24分.把答案直接填在答题卡相应位置上.

11. 一组数据2, 3, 5, 6, 6的中位数为.

12. 据太仓市统计局3月10日统计公报,截止2015年底,我市常住人口为709 500人.数据 709 500用科学记数法表示为13. 因式分解:2x8x14. 若多边形的每一个内角都等于135°,则这个多边形的边数是 15. 把二次函数yxbxc的图像向下平移1个单位长度,再向左平移2个单位长度后,

得到的抛物线的顶点坐标为(-1, 0),则bc的值为 .

16. 如图,在正方形ABCD中,点E为AD的中点,连接EC,过点E作EFEC,交AB

于点F,则tanECF= . 23

17. 如图,水平面上有一个坡度i=1:2的斜坡AB,矩形货柜DEFG放置在斜坡上,己知

DE=2.5m. EF=2m, BF=3.5m,则点D离地面的高DH为m. (结果保留根号)

18. 如图,在ABC中,AB=4, D是AB上的一点(不与点A、B重合),DE//BC,交AC

于点E,则SDEC的最大值为 . SABC

三、解答题:本大题共10小题,共76分.把解答过程写在答题卡相应位置上,解答时应写 ........

出必要的计算过程、推演步骤或文字说明.作图时用2B铅笔或黑色墨水签字笔.

19. (本题满分5分) 计算

: (1)20. (本题满分5分) 解不等式组:

x12

2(1x)5.

21. (本题满分6分) 先化简,再求值: 3x3x),其中x3x2x

22. (本题满分6分) 甲、乙两公司为“见义勇为基金会”各捐款30 000元.己知乙公司比甲

公司人均多捐20元,且甲公司的人数比乙公司的人数多20%.甲、乙两公司各有多少人?

23. (本题满分8分) 如图,在矩形ABCD中,以点A为圆心,

AB长为半径画弧,交CD于点E,连接AE、BE.

作BFAE于点F.

(1)求证:BFAD;

(2)若EC1,FEB67.5,求扇形ABE的面积

(结果保留).

24. (本题满分8分)甲、乙、丙三位同学在操场上互相传球,假设他们相互间传球是等可能

的,并且由甲首先开始传球.

(1)经过2次传球后,球仍回到甲手中的概率是;

(2)请用列举法(画树状图或列表)求经过3次传球后,球仍回到甲手中的概率;

(3)猜想并直接写出结论:经过n次传球后,球传到甲、乙这两位同学手中的概率:P(球传

到甲手中)和P(球传到乙手中)的大小关系.

25. (本题满分8分)如图,一次函数yaxb与反比例函数

k(x0)的图像交于点A,与x轴、y轴分别交于 x

点B、C,过点A作ADx轴于点D,过点D作 y

DE//AB,交y轴于点E。四边形ADEC的面积为6.

(1)求k的值;

(2)若AD3OC,tanDAC2,求点E的坐标.

26. (本题满分10分)如图,ABC中,ABAC,ADBC,

AD4,CE平分ACB交AD于点E。以CE为弦作⊙O

且圆心O落在AC上,⊙O交AC于点F,交BC于点G.

(1)求证:AD与⊙O的相切;

(2)若点G为CD的中点,求⊙O的半径;

(3)点E能否为AD的中点?若能,则求出BC的长;

若不能,请说明理由.

27. (本题满分10分)如图①,二次函数yaxa(b1)xab(其中b1)的图像与x轴

交于点A、B,与y轴交于点C(0,1),过点C的直线交x轴于点D(2,0),交抛物线于另一点E.

(1)用b的代数式表示a,则a= ;

(2)过点A作直线CD的垂线AH,垂足为点H.若点H恰好在抛物线的对称轴上,求

该二次函数的表达式;

(3)如图②,在(2)的条件下,点P是x轴负半轴上的一个动点,OPm.在点P左侧的2

x轴上取点F,使PF1.过点P作PQx轴,交线段CE于点Q,延长线段PQ到点G,连接EG、DG.若tanGDPtanFQPtanQDP,试判断是否存在m的值,使FPQ的面积和EGQ的面积相等,若存在,求出m的值;若不存在则说明理由。

28. (本题满分10分),如图,直线y4x4与x轴、y轴分别交于点A 、B.点C从点3

B出发,以每秒5个单位长度的速度向点A匀速运动;同时点D从点O出发,以每秒4个单位长度的速度向点B匀速运动,到达终点后运动立即停止.连接CD,取CD的中点E,过点E作EFCD,与折线DOOAAC交于点F.设运动时间为t秒.

(1)点C的坐标为(用含t的代数式表示);

(2)求证:点E到x轴的距离为定值;

(3)连接DF、CF,当CDF是以CD为斜边的等腰直角三角形时,求CD的长

.

2016年初三教学质量调研测试卷(五)
苏州市太仓市2016年初三数学教学质量调研测试卷

苏州市太仓市2016年初三数学教学质量调研测试卷

2016年初三教学质量调研测试卷

数 学 2016.5

注意事项:

1.本试卷共三大题,28小题,满分130分,考试时间120分钟;

2.答题前,考生务必将自己的姓名、考点名称、考场号、座位号用0. 5毫米黑色墨水签字笔填写在答题卡相对应的位置上;

3.答选择题必须用2B铅笔把答题卡上对应题目的答案标号涂黑,如需改动,请用橡皮擦干净后,再选涂其他答案;答非选择题必须用0. 5毫米黑色墨水签字笔写在答题卡指定的位 置上,不在答题区域内的答案一律无效,不得用其他笔答题(作图可用铅笔);

4.考生答题必须答在答题卡上,答在试卷和草稿纸上一律无效.

一、选择题 本大题共10小题,每小题3分,共30分.在每小题给出的四个选项中,只有一

项是符合题目要求的.请将选择题的答案用2B铅笔涂在答题卡相应位置上.

1. 下列各个实数中,无理数是

A. 2 B. 3.14 C.

2. 计算xx的结果正确的是

A. x B. x C. x D. x

3. 函数,y569327

D. 131中自变量x的取值范围是 x3

A. x3 B. x3 C. x3 D. x3

4.

若实数m则估计m的值所在范围正确的是

A. m2 B. m3 C. m4 D. m5

5. 右图为某物体简化的主视图和俯视图,猜想该物体可能是

A.光盘 B.双层蛋糕

C.游泳圈 D.铅笔

6. 如图,在菱形ABCD中,EF//AB,对角线AC交EF

于点G,那么与BAC相等的角的个数有(BAC除外)

A. 3个 B. 4个

C. 5个 D. 6个

个单位时,y的值将

7. 对于某个一次函数,当x的值减小1个单位,y的值增加2个单位,则当x的值增加2

A.增加4个单位 B.减小4个单位 C.增加2个单位 D.减小2个单位

8. 如图为函数y是

A. x、y值的都不为0 B. 图像关于原点中心对称

C. 图像与x轴、y轴没有交点 D. 函数值y随着x的增大而减小

9. 如图,ABC内接于⊙O,作ODBC于点D,若A60,则OD:CD的值为

A. 1:2

B. 1:

C.

D.

11y的图像,类比反比例函数,下面对函数性质的描述不正确的...x3x3

10. 如图,点A在反比例函数y3(x0)的图像上移动,连接OA,作OBOA,并x

满足OAB30.在点A的移动过程中,追踪点B形成的图像所对应的函数表达式为 A. y31(x0) B. y(x0)

xx

C. y1x0) D. y(x0) 3x二、填空题:本大题共8小题,每小题3分,共24分.把答案直接填在答题卡相应位置上.

11. 一组数据2, 3, 5, 6, 6的中位数为.

12. 据太仓市统计局3月10日统计公报,截止2015年底,我市常住人口为709 500人.数据 709 500用科学记数法表示为13. 因式分解:2x8x14. 若多边形的每一个内角都等于135°,则这个多边形的边数是 15. 把二次函数yxbxc的图像向下平移1个单位长度,再向左平移2个单位长度后,

得到的抛物线的顶点坐标为(-1, 0),则bc的值为 .

16. 如图,在正方形ABCD中,点E为AD的中点,连接EC,过点E作EFEC,交AB

于点F,则tanECF= . 23

17. 如图,水平面上有一个坡度i=1:2的斜坡AB,矩形货柜DEFG放置在斜坡上,己知

DE=2.5m. EF=2m, BF=3.5m,则点D离地面的高DH为m.(结果保留根号)

18. 如图,在ABC中,AB=4, D是AB上的一点(不与点A、B重合),DE//BC,交AC

于点E,则SDEC的最大值为 . SABC

三、解答题:本大题共10小题,共76分.把解答过程写在答题卡相应位置上,解答时应写 ........

出必要的计算过程、推演步骤或文字说明.作图时用2B铅笔或黑色墨水签字笔.

19. (本题满分5分) 计算

: (1)

20. (本题满分5分) 解不等式组:

x12

2(1x)5.

21. (本题满分6分) 先化简,再求值: 3x3x),其中x3x2x

22. (本题满分6分) 甲、乙两公司为“见义勇为基金会”各捐款30 000元.己知乙公司比甲

公司人均多捐20元,且甲公司的人数比乙公司的人数多20%.甲、乙两公司各有多少人?

23. (本题满分8分) 如图,在矩形ABCD中,以点A为圆心,AB长为半径画弧,交CD于点E,连接AE、BE.作BFAE于点F.

(1)求证:BFAD;

(2)

若EC1,FEB67.5,求扇形ABE的面积(结果保留

).

24. (本题满分8分)甲、乙、丙三位同学在操场上互相传球,假设他们相互间传球是等可能

的,并且由甲首先开始传球.

(1)经过2次传球后,球仍回到甲手中的概率是;

(2)请用列举法(画树状图或列表)求经过3次传球后,球仍回到甲手中的概率;

(3)猜想并直接写出结论:经过n次传球后,球传到甲、乙这两位同学手中的概率:P(球传

到甲手中)和P(球传到乙手中)的大小关系.

25. (本题满分8分,如图,一次函数yaxb与反比例函数yk(x0)的图像交于点A,x

与x轴、y轴分别交于点B、C,过点A作ADx轴于点D,过点D作DE//AB,交y轴于点E.己知四边形ADEC的面积为6.

(1)求k的值;

(2)若AD3OC,tanDAC2,求点E的坐标.

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