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篇一:2010年上海市松江区中考数学二模卷及答案

2010年松江区初中毕业生学业模拟考试

数学试卷

(满分150分,完卷时间100分钟) 2010.4

考生注意:

1.本试卷含三个大题,共25题;

2.答题时,考生务必按答题要求在答题纸规定的位置上作答,在草稿纸、本试卷上答题一律无效;

3.除第一、二大题外,其余各题如无特别说明,都必须在答题纸的相应位置上写出证明或计算的主要步骤.

一、选择题:(本大题共6题,每题4分,满分24分)

【下列各题的四个选项中,有且只有一个选项是正确的,选择正确项的代号并填涂在答题纸的相应位置上】

1.下列计算中,正确的是

(A)a2?a3?a5; (B)a2?a3?a6; (C)(a2)3?a5; (D)2a2?3a2?5a2. 2.在方程x+程是

(A)y?4y?1?0; (B)y?4y?1?0;

2

2

2

1x?3x

2

=3x-4中,如果设y=x-3x,那么原方程可化为关于y的整式方

2

(C)y?4y?1?0 ;

2(D)y?4y?1?0.

2

3.如果反比例函数y?围是 (A)k?

12

2k?1x12

的图像在每个象限内y随x的增大而增大,那么k的取值范

; (B)k?

2

; (C)k?0;(D)k?0.

4.如果将二次函数y?x?1的图像向左平移2个单位,那么所得到二次函数的图像的解析式是

(A)y?x?1;

2

2

(B)y?x?3; (D)y?(x?2)?1.

2

2

(C)y?(x?2)?1 ; 5.下列命题中,正确的是

(A)正多边形都是轴对称图形; (B)正多边形都是中心对称图形;

(C)每个内角都相等的多边形是正多边形; (D)正多边形的每个内角等于中心角. 6.下列各式错误的是

(A)3a?3a?0; (B)3?(3a)?9a; (C)3a?3a?6a;(D)3(a?b)?3a?3b. 二、填空题:(本大题共12题,每题4分,满分48分) 【请将结果直接填入答题纸的相应位置上】 7.计算:

1x?1

?

xx?1

=__▲_.

8.函数y?x?3的定义域是__▲__ .

9.因式分解:x3?x?▲. 10.方程

x?1?2的解是___▲___ .

11.已知正比例函数的图像经过点(?2,4),则正比例函数的解析式是 ▲ . 12.某商品原价a元,连续两次降价20%后的售价为▲ 元.

13.在不大于20的正整数中任意取一个正整数能被5整除的概率为 ▲. 14.在半径为13的圆中,弦AB的长为24,则弦AB的弦心距为▲ .

15.在梯形ABCD中,AD // BC,E、F分别是两腰AB、CD的中点,如果AD = 4,EF = 6,那么BC = __▲__.

16.已知一斜坡的坡比i?1:3,坡面垂直高度为2米,那么斜坡长是 ▲ 米. 17.如图,在△ABC中,D是BC上的点,若BD︰DC=1︰2,AB?a,AC?b, 那么AD= ▲ (用a和b表示).

18.如图,已知在直角三角形ABC中,∠C=90°,AB=5,BC=3,将?ABC绕着点B顺时针旋转,使点C落在边AB上的点C′处,点A落在点A′处,则AA′的长为 ▲ .

(第17题图)

C

A

C

(第18题图)

B

三、解答题:(本大题共7题,满分78分) 19.(本题满分10分) 计算:?

2?2?

33

1

?27

2

?(3?3)??

3.

20.(本题满分10分)

解方程:

21.(本题满分10分)

已知:如图,在△ABC中,D是BC上的点,AD=AB,E、F分别是AC、BD的中点, 且FE⊥AC,若AC=8,tan?B?2,求EF和AB的长.

B

F

D

C

4xx?9

2

?1?

2x?3

?

2x?3

E

(第21题图)

22.(本题满分10分,第(1)题3分,第(2)题2分,第(3)题2分,第(4)题3分)

有关部门想了解本区20000名初中生对世博知识掌握情况,对全区初中生进行世博知识统一测试,在测试结果中随机抽取了400名学生的成绩进行分析,并将分析结果(分数取整数)绘制了如下的频数分布表和频数分布直方图.

频数分布表

(

200 160 120 80 40 (分)

根据以上提供的信息,解答下列问题: (1)补全频数分布表;(2)补全频数分布直方图;

(3)样本中学生成绩的中位数位于频数分布表中 ▲ 分数段内; (4)若90分及以上为优秀,请你估计该区有▲ 名学生测试成绩为优秀. 23.(本题满分12分,第(1)题5分,第(2)题7分)

已知:如图,在四边形ABCD中,点

G在边BC的延长线上,CE平分∠BCD、 CF平分∠GCD, EF∥BC交CD于点O . (1)求证:OE=OF; (2)若点O为CD的中点,

求证:四边形DECF是矩形.

(第23题图)

34

24.(本题满分12分,第(1)小题4分,第(2)小题3分,第(2)小题5分)

如图,在平面直角坐标系中,直线y??

2

x?3分别与x轴、y轴交于点A和点B.

二次函数y?ax?4ax?c的图象经过点B和点C(-1,0),顶点为P. (1)求这个二次函数的解析式,并求出P点坐标;

(2)若点D在二次函数图象的对称轴上,且AD∥BP,求PD的长; 为直径的圆与圆O相切,求圆O的半径.

25.(本题满分14分,第(1)小题①4分,第(1)小题②5分,第(2)小题5分) 如图,正方形ABCD中, AB=1,点P是射线DA上的一动点, DE⊥CP,垂足为E, EF⊥BE与射线DC交于点F.

(1)若点P在边DA上(与点D、点A不重合). ①求证:△DEF∽△CEB;

②设AP=x,DF=y,求y与x的函数关系式,并写出函数定义域; (2)当S

?BEC

?4S?EFC时,求AP的长.

C

2010年松江区初中毕业学业模拟考试数学参考答案及评分标准

篇二:2015年松江区初三二模语文试卷(图片版)

篇三:上海中考英语选词填空训练之二

上海中考英语选词填空训练之二

普陀

III. Complete the following passage with the words or phrases in the box. Each word or phrase can only be used once(将下列单词或词组填入空格。每空格限填一词,每个单词或词组只能填一次):(共8分)

Unlike many of my classmates, my idol (偶像) is not a film star or a famous writer. Neither is he a world leader, nor an important person from . My idol is my dad.

Most people believe that a man should go out and work. However, when I was a baby, I was very ill and needed attention all the time. Since my mother and father both worked, and my grandparents lived very loved her job, so he stopped working to stay at home and look after me.

Many men in this would want their wives to stay with the child, but my dad always thinks about others before himself. My dad took a job and worked at night. He chose the job so that he would only be out of the house when I was sleeping.

Ever since then, my dad has helped and me in everything I do. The most important thing he taught me was never to . I remember when I was learning to ride a bike. My dad would run behind me for hours. He held the back of the bicycle so that I would not fall. I felt so because I knew (转载自:www.dXf5.cOm 东星资源网:上海松江中考状元)he was near. I did not when he stopped holding me. Soon, I was riding by myself.

My family is not rich, and we do not own a big house or an expensive car. My dad is my idol because he has shown me that the most important things in life are family and love.

松江

III. Complete the following passage with the words or phrases in the box. Each word can only be used once (将下列单词或词组填入空格。每空格限填一词,每词只能填一次): (共8分)

A 12-man Chinese team landed on the Antarctic icecap peak(南极冰盖最高点) on January

18. They are the first people to the peak of Dome A (海穹A). It is 4,039 meters above sea level.

The team built a there to study the changes of the weather, get ice samples (标本) from 150 meters to 200 meters below, and do other 100-meter long ice samples from a place about 300 meters under the icecap peak.

It is the first time that people have been able to get samples from the icecap peak in

Antarctica and it is very important for people to study the weather changes and environmental changes in this area.

The Chinese scientists have built a weather study system at the peak. The system can send out about temperature, how strong the wind is, and many about the weather.

The Antarctic icecap makes up 70% of the earth’s freshwater. By studying Dome A, scientists can get the lowest temperature of the earth and information about the world’s weather changes. We get this information from other places on the earth because Dome A is the best place for this kind of studies. So it is very important to land on the peak of Dome A.

徐汇

III. Complete the following passage with the words or phrases in the box. Each can only be used once(将下列单词或词组填入空格。每空格限填一词,每个单词或词组只能填一次):(共8分)

Zoos are places where different kinds of animals are kept and shown for the public. At most

modern zoos people can see, smell and hear animals in their natural way.

Some zoos even have “friendship farms" where people can touch some

of the animals. Here are some why people need zoos.

Firstly, zoos help people know more about animals and their

where it comes from and how it lives. Special teachers at the zoo help

children understand more about the animals. Trained guides show

visitors around the zoo.

Secondly, zoos are working hard to find out more about animals. New knowledge leads to better ways of looking after animals in the zoo and understanding of the same animals

in the wild.

Thirdly, zoos play a part in protecting animals and stopping them from together with each other to help the animals in danger. For example, gorillas (大猩猩) from

Taronga Zoo were sent to live with gorillas at the Melbourne Zoo in the hope that they would give birth to babies gorillas can be kept in this way.

Finally, zoos give people a lot of fun. People enjoy getting close to animals having to cross the plains (平原) of Africa or climb the mountains of China. In the past, animal shows

were common in zoos. Visitors were when they saw monkeys in human clothes, and they even took rides on elephants or horses. However, today people prefer to see animals in a more natural way.

So a modern zoo is a place where animals are well taken care of.

杨浦

Ⅲ. Complete the following passage with the words or phrases in the box. Each

word or phrase can only be used once(将下列单词或词组填入空格。每空格限

填一词,每词或词组只能填一次):(共8分)

VSO stands for Voluntary Service Overseas. It is the largest independent volunteer in the world with offices in many different countries. Since 1958, it has sent more than 30,000 volunteers to work in Africa and Asia.

Tom Harahan is Irish and trained as a doctor. After he graduated from a school in Britain, he spent two years as a VSO volunteer in Malawi, East Africa. The following is an entry from his diary.

闸北区

Ⅲ. Complete the following passage with the words or phrases in the box. Each word or phrase can only be used once(将下列单词或词组填入空格。每空格限填一词,每词或词组只能填一次):(共8分)

Indian boy Piscine Patel is troubled by his first name. It sounds like a rude word, and him. He decides to change his name to “Pi”.

But Pi’s name problems are nothing Pi’s father owns a zoo. He decides to move to Canada. The family, together with all the zoo his family has sunk with the ship. He is the only person still alive. all the animals are killed and Pi is left alone with the tiger. gives up. After 227 days, the lifeboat finally lands on a beach in Mexico, but Richard Parker runs away into the forest.

The ship company finds Pi and asks what happened. Pi tells them about Richard Parker but the company doesn’t believe him. Pi shocking details. after watching The Life of Pi(《少年派的奇幻漂流》), the latest 3D movie from American Chinese director Ang Lee. The film speaks of the relationship between humans and nature. It opened in Chinese mainland theatres on Nov. 22, 2012.

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