2014年长郡中学初二数学期末试卷

2014年长郡中学初二数学期末试卷(一)
省长沙市长郡教育集团2014-2015学年八年级数学下学期期末考试试题

湖南省长沙市长郡教育集团2014-2015学年八年级数学下学期期末

考试试题

2014年长郡中学初二数学期末试卷(二)
长郡中学初二下册2014-2015期末考试

2014-2015-2长郡教育集团期末初二年级统一考试

英语试卷

满分：100分 时量：100分钟

Ⅰ. 听力技能（共2节，计20分）

Ⅱ. 知识运用（共2节，计20分）

第一节 语法填空（共10小题，计10分）

从A、B、C三个选项中，选出最佳答案填空。

21. It was _______ unbelievable moment when he won the gold medal.

A. a B. an C. the

22. --Have you even been to Shanghai?

-- Yes. I ______ there with my father last year.

A. have been B. went C. have gone

23. --I’m sorry, Lucy. I _____ your computer since 2 months ago.

-- Never mind.

A. borrowed B. have borrowed C. have kept

24. -- Which is ______ , Bill Gates . Yao Ming or Michael Jackson.

--I don’t know . They are all great.

A. most successful B. More successful C. The most successful

25. --How often do you chat with your friends online?

--______. I’m busy with my study.

A. Only one month

B. About twice a month

C. Every two weeks.

26. Their school is very big. It has over three______ students this year.

A. thousand B. thousands C. thousands of

27. These photos always remind my parents _____ the old years.

A. about B. of C. to

28. -- Would you like some tea or coffee.

-- ______ is OK.

A. Neither B. Both C. Either

29. When I walked past the park, i saw some old people ________ Chinese Taiji.

A. Are doing B. did C. doing

30. The man will have to wait all day _____ the doctor works faster.

A. as soon as B. unless C. if

第二节 词语填空（共10小题，计10分）

通读下面的短文，掌握其大意，然后从各题所给的A、B、C三个选项中选出最佳答案。

Yesterday afternoon, when Liu Jun got some after school, he wanted to do

some housework. While he was sweeping the floor, his father came back and stopped him doing it. Later when he was watching TV,his mother came up and turn ___31_ the TV and said,”you shouldn’t___32___ your time. Go to study!”

In China,more and more families have only one child. ____33___ thin that their children have _____34__ much homework that they have no time to do the other things. They also hope that their children can learn their lessons well so as to find a good job in the future. So they won’t let their children do ___35___ at home. If the child has few chances to practice in their daily life, they will not ___36__ prepare themselves for the future. They learned a lot, but they don’t know__37__ they can use whatever they have.___38__ , they can not do anything without the help of others. So it is nos ___39__ for the children to learn only the knowledge from books. They have to learn about life. Don’t keep themselves ___40__ books only.

31. A. on B. off C. up

32. A. save B. miss C. waste

33. A. Teachers B. Friends C. Parents

34. A. Too B. So C. Not

35. A. Homework B. Sports C. Housework

36. A. be able to B. be afraid of C. be honest to

37. A. what B. who C. how

38. A. On the other hand B. In fact C. Luckily

39. A. bad B. unusual C. good

40. A. in B. out of C. on

Ⅲ.阅读技能（共两节，计50分）

第一节 阅读选择（共20小题，计40分）

（一）

41. How much food does the tiger eat a day ?

A. 230 kilos B. 9 kilos C. 8.5 kilos

44. The panda is _______ cm tall

A. 150 B. 95 C. 290s

43. You will pay ______ it you want to stay in the English club for half a year.

A. 300 yuan B. 1,800 yuan C. 1,200yuan

44. If you are interested in the life of fish,you should go to ______【2014年长郡中学初二数学期末试卷】

A. 123 San Yi Street

B. Ocean Museum

C. Health Centre

45. One can get free exams in Health Centre if he is _______

A. 17 B. 67 C. 73

（二）

Have you ever been to Sydney? In my opinion,it’s really a wonderful city to travel.【2014年长郡中学初二数学期末试卷】

One great thing about Sydney is that the weather is warm. The temperature is about 12 degrees in winter. And it is about 35 degrees in summer.

Also, it has many beautiful beaches. Two of them are quite famous. They are Bondi and Manly. Bondi has a nice street with many shops and restaurants. Manly

is a great beach to go to. If you want to go there, you can take a boat. It’s a cheap and great way to see the Sydney harbor. It will take you about 30 minute.

What’s more,in the west of Sydney, there is a park called the Blue Mountains. It’s quite a popular park. The only way to see this park is by going bush. Then you will find some nice roads. The roads can take you to the Blue Mountains. You need some days to visit the whole mountains. Of course, you will need to travel with food and water.

If you are going to visit Sydney, I hope you will enjoy it.

46. How is the weather in Sydney?

A. Hot B. Warm C. Cool

47. Which of the following is NOT true?

A. Bondi and Manly are famous beaches.

B. Bondi has a nice street.

C. It is not a cheap way to see the Sydney harbor by boat.

48. The Blue Mountains is _______

A. in the east of Sydney

B. in the west of Opera House

C. quite a popular park

49. If you visit the Blue Mountains,_________

A. You must take food and water with you

B. You can see many beautiful birds there

C. You will need only one day

50. How many reasons can you find for visiting Sydney?

A. Two B. Three C. Four

(三)

Snow White is popular as soon as she first comes in a fairy tale in the early 19th century.

In the fairy tale, she was the prettiest girl in the kingdom! But a jealous queen wanted to put her in jail to hide her beauty. So she ran to the forest home of seven little dwarfs. But the ugly queen found her and gave her an enchanted apple. She took one bite and fell into a deep sleep. One day, a handsome prince came by and awakened Snow White with a magic kiss.

Snow White was so happy. And she and the prince got married the very next day. All of us may be familiar with the tale.

In fact, there are other versions of the tale around the world. That means, there are different stories about Snow White. In a European version, the dwarfs were robbers, and Snow White’s stepmother talked with the moon instead of the magic mirror. In another version, Snow White didn’t live the 7 dwarfs, but with 40 dragons. In another version, Snow White had a teacher and the teacher asked

Snow White to kill her own mother! The Russian version is quite like the first one, but 7 knights instead of 7 dwarfs looked after Snow White.

So, there are many different versions of the tale. Which one do you like best?

51. Snow White is popular when it is ______.

A. in the early time B. in the late 19th century C. in the early 19th century

52.What’s the ending of the tale that we are familiar with?

A. Snow White was in a deep sleep forever.

B. The 7 dwarfs awakened Snow White.

C. Snow White lived happily with the price.

53. What does the underlined word”versions” mean in China?

A. 版本 B.人物 C. 传说

54. In_____, Snow White’s stepmother talked with the moon.

A. the Russian version B. a European version C. a German version

55. How many versions of the tale are mentioned in the passage?

A. 3 B. 4 C. 5

(四)

May is National Bike Month. a month-long event trying to get couch potatoes outside, cars off the roads and subway trains empty. It encourages everyone to get back onto their bicycles to

enjoy riding a bike an often as they can during the month (and hopefully longer). May in the beginning summer and warm weather, so why not start right away and enjoy sunshine!

Ride Out to Protect the Environment

Bike month helps everyone make their efforts to improve environment. If you are biking to school, you are helping bring down the air pollution. It is the most common form of pollution and by getting your family to stop driving and start riding a bike, you can do your part in improving the air quality.

Count Down Those Calories

Cycling isn’t just good for environment; it’s good for you too. Riding a bicycle burns calories and helps keep you healthy. It not only improves your physical health, but also your mental state of mind. It can really help you be a happier person.

Share the Sunny Summer

So get into that shed, and take out your old bike. Paint the bike blue. Put on a nice coat. Load up a number of songs. Invite a group of friends to get on the bikes and ride this May! Be a fun-in- the-sun child! Enjoy yourself!

56. The second paragraph mainly tells us that riding bicycles _____.

A. improves our health

2014年长郡中学初二数学期末试卷(三)
2014-2015-1 长郡教育集团期末初二年级统一考试数学试卷答案

2014-2015-1 长郡教育集团期末初二年级统一考试答案

一、选择题（每小题3分，共36分）

1、答案：C

2、答案：D

3、答案：B

4、答案：C

5、答案：C

6、答案：B

7、答案：D

8、答案：D

9、答案：A

10、答案：D

11、答案：D

12、答案：A

二、填空题（每小题3分，共18分）

13、则m＝ 2

14、

15、∠D=1400 16 AD=4

17、k=__5____，b=__-11____

18、____6___ .

三、计算题（每小题4分，共16分）

19、(1) (3322)(3322)=19 3)2= (2) 4(

2x1x9xx2

36x16 = x(3) 3

2232(322)

(4)

四、解答题(4*8+9=41分)

20、（1）A（-2,0）B（0,1）k=2、b=-2 4分 （2）4分 图略

21、解：根据题意得：Rt△ADE≌Rt△AFE

∴∠AFE=90°，AF=10cm，EF=DE

设CE=x cm，则DE=EF=CD－CE=8－x

在Rt△ABF中由勾股定理得：

AB2+BF2=AF2，即82+BF2=102，

∴BF=6 cm-----------------------------------4分

∴CF=BC－BF=10－6=4（cm）

在Rt△ECF中由勾股定理可得：EF2=CE2+CF2，即（8－x）2=x2+42∴64－16x+x2=x2+16∴x=3（cm），即CE=3cm-----------------------------------8分

22（1）证明：∵点D、E分别是边BC、AC的中点，

∴DE∥AB. ……………………………………………………………………2分

∵AF∥BC,

∴四边形ABDF是平行四边形. ………………………………………………4分

（2）解：过点F作FG⊥AC于G点.

∵BC=4，点D是边BC的中点，

∴BD=2.

由（1）可知四边形ABDF是平行四边形，

∴AF=BD=2.

∵∠CAF=45°，

112=

∴AG=

…………………………………………………………………5分

在Rt△FGC中，∠FGC=90°,

∴

…………………………………………………6分

分. ∴AC=

AG+GC=23、答案：先求l为y=-3/4x+17/2-------2分

直线BA解析式为y4x43----------4分

设直线BA与x轴交于点C，则点C的坐标（3，0）----5分

连结OA,过A作AE⊥x，AF⊥y，垂足分别为E,F

则有OD8.5,AF6,OC3,AE4

直线BA、直线l与两坐标轴围成的四边形OCAD的面积

SSOADSOCA11ODAFOCAE22 11638.563422-----------8分 =2

24. （1）ABCD为平行四边形；∴AB=CD, AD=BC, ∠B=∠ADC,M,N为中点，

∴MD=11AD=BC=BN22

∴△ABN≌△CDM------------------------------------------------3分

（2）M,N为中点，易知MDCN也为平行四边形，又∠AND=90°

且M为AD中点，∴MN=1AD=MD, ∴MDCN为菱形.------------4分 2

由菱形性质知，菱形对角线ND平分∠MNC以及∠MDC

∴∠MNC=∠MDC=2∠1，又∠MNC+∠2=90°, ∠1=∠2

∴∠1=∠2=30°---------------------------------------------------------------------6分

∴在Rt△PEN中，∠ENP=30°,PE=1 ⇒

在Rt△NEC中, ∠2=30°

NC=

又∠1=30°∴AN=1分2

25、、已知：在矩形ABCD中，AB=10，BC=12，四边形EFGH的三个顶点E、F、H分别在矩形ABCD边AB、BC、DA上，AE=2.

（1）如图①，当四边形EFGH为正方形时，求△GFC的面积；

（2）如图②，当四边形EFGH为菱形，且BF=a时，求△GFC的面积（用含a的代数式表示）；

（3）在（2）的条件下，△GFC的面积能否等于2？请说明理由

.

MBC解：（1）如图①，过点G作G于M.

在正方形EFGH中，

HEF90,EHEF . ………………………1分

AEHBEF90.

AEHAHE90,

AHEBEF. 

AB90 又∵，

∴⊿AHE≌⊿BEF. ………………………2分

同理可证：⊿MFG≌⊿BEF.

∴GM=BF=AE=2.

∴FC=BC-BF=10. ………………………3分

MBC （2）如图②，过点G作G于M.连接HF.

AD//BC,AHFMFH.

EH//FG,EHFGFH.

AHEMFG. 

AGMF90,EHGF,又

∴⊿AHE≌⊿MFG. ………………………5分 ∴GM=AE=2. ………………………

11SGFCGM(12a)12a.FC22

………………………6分

（3）⊿GFC的面积不能等于2. ………………………7分

,则12- a =2，∴a=10. FC2∵若SG

此时，在⊿BEF中，

在⊿AHE中，

12.

∴AH＞AD.

即点H已经不在边AB上.

. ---------------------- 9分 FC2故不可能有SG

2014年长郡中学初二数学期末试卷(四)
2014-2015-1 长郡教育集团期末初二年级统一考试数学试卷问卷

2014-2015-1 长郡教育集团期末初二年级统一考试

数学试卷

一、选择题（每小题3分，共36分）

1、若一个菱形的一条边长为4cm，则这个菱形的周长为 （ ） （A）20cm （B）18cm （C）16cm （D）12cm 2、下列二次根式中，与5是同类二次根式的是( ) (A) (B)0.3

(C)30 (D)

3、下列各式的计算中，最简二次根式是( )

1

2

(A)27 (B) (C)a (D)3a

4、在下列命题中，正确的是（ ） A．一组对边平行的四边形是平行四边形 B．有一个角是直角的四边形是矩形

C．有一组邻边相等的平行四边形是菱形 D．对角线互相垂直平分的四边形是正方形

5、如图，顺次连结四边形ABCD各中点得四边形EFGH，要使四边形EFGH为矩形，应添加的条件是（ ） A．AB∥DC

B．AB＝DC

C．AC⊥BD

D．AC＝BD

，AB2，则矩形的对6、如图，矩形ABCD的两条对角线相交于点O，AOB60°

角线AC的长是（ ） A．2

第5题

B

第6题

O

C

第7题

B．4

C

．

A

D

．D

7、如图，四边形ABCD的对角线互相平分，要使它成为矩形，那么需要添加的条件是( )

1

A.ABCD B.ADBC C.ABBC

2

2

D.ACBD

2

2

2

8、.已知a，b，c为△ABC三边，且满足(a－b)(a+b－c)＝0，则它的形状为（ ） A.直角三角形

B.等腰三角形

D.等腰三角形或直角三角形

C.等腰直角三角形

9、已知正比例函数ykx（k0）的函数值y随x的增大而增大，则一次函数ykxk的图象大致是（ ）【2014年长郡中学初二数学期末试卷】

（Ａ）

（B）

（C） （Ｄ）

10、已知一个直角三角形的两边长分别为3和4，则第三边长的平方是（ ） A．25 坐标为（ ）

B．5

C．7

D．7或25

11、如图，点A的坐标为(1

，0)，点B在直线y=－x上运动，当线段AB

最短时，点B的

11

A．（0，0） B．（－2，2） 11 C．（2，－2） D．（2，－2）

12、如图，一架25分米的梯子，斜立在一竖直的墙上，•这时梯的底部距墙底端7分米，

如果梯子的顶端沿墙下滑4分米，那么梯的底部将平滑（ ） A．8分米 B．15分米 C．5分米 D．9分米

第11题图

2

B

D 第16题

C

（第18题）

二、填空题（每小题3分，共18分）

13、已知一次函数y=2x+4的图像经过点（m，8），则m＝________ 14、计算3 =_______

15、在平行四边形ABCD中，∠A∶∠D=2∶7，则∠D=______

16如图，等腰△ABC中，ABAC，AD是底边上的高，若AB5cm，BC6cm，则AD_______ cm．

17、若直线y=kx+b平行于直线y=5x+3，且过点（2，-1），则k=______，b=______ 18、如图，三角形ABC中、AB=3,AC=4，BC=5，三角形ABD、 三角形ACE、 三角形BCF都是等边三角形,则四边形AEFD的面积为_____ 三、计算题（每小题4分，共16分）

3)

2 19、(1) (22)(22)(2) 4

(

2x1x

xx236x

16 x(3) 3

2232(322)

(4)

112

B

四、解答题(4×8+9=41分)

20、已知一次函数y=kx＋b的图象如图1所示。 (1)写出点A、B的坐标，并求出k、b 的值；

(2)在所给的平面直角坐标系内画出函数y=bx＋k的图象。．

A

21、如图，已知长方形ABCD中AB=8cm，BC=10cm，在边CD上取一点E，将△ADE折叠使点D恰好落在BC边上的点F，求CE的长．

22、如图，在△ABC中，点D、E分别是边BC、AC的中点，过点A作

AF∥BC交DE的延长线于F点，连接CF.

（1）求证：四边形ABDF是平行四边形； （2）若∠CAF=45°，BC=4，

CA.

3

23、如图，在平面直角坐标系中，坐标原点为O，直线l与y轴交点坐标为D（0，8.5），与X轴交于G（34/3，0）,在y轴上有一点B（0，－4），过点B作BA⊥l，交直线l于点A.

（1）试求出直线BA解析式，并求出点A的坐标；

（2）求出直线BA、直线l

于点O.

（1）求证：△ABN≌△CDM;

（2）过点C作CE⊥MN于点E，交DN于点P，若PE=1，∠1=∠2，求AN的长.

24如图，在平行四边形ABCD中，M,N分别为AD,BC

五、综合题（本小题9分）

25已知：在矩形ABCD中，AB=10，BC=12，四边形EFGH的三个顶点E、F、H分别在矩形ABCD边AB、BC、DA上，AE=2.

（1）如图①，当四边形EFGH为正方形时，求△GFC的面积；

（2）如图②，当四边形EFGH为菱形，且BF=a时，求△GFC的面积（用含a的代数式表示）； （3）在（2）的条件下，△GFC的面积能否等于2？请说明理由.

4

2014年长郡中学初二数学期末试卷(五)
2014年长郡中学小升初考试数学试卷