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2015年武汉市部分重点中学高一期中考试

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第一篇:《湖北省武汉市部分重点中学2014-2015学年高一下学期期中考试数学试题 Word版含答案》

武汉市部分重点中学2014—2015学年下学期高一期中测试

数 学 试 卷

一、选择题(本大题共12小题,每小题5分,共60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,请将答案填涂在答题卡上相应位置)。

1.在四边形ABCD中,若,则四边形ABCD是( ) A.平行四边形 B. 矩形 C. 菱形 D.正方形

2.远望灯塔高七层,红光点点成倍增,只见顶层灯一盏,请问共有几盏灯?答曰: ( )

A.64 B.128 C.63 D.127

3.在△ABC中,由已知条件解三角形,其中有两解的是( ) A.b20,A450,C800 B.a30,c28,B60 C.a14,b16,A45 D.a12,c15,A120

4.如图,设A,B两点在河的两岸,一测量者在点A所在的同侧河岸边选定一点C,测出AC的距离为100 m,∠ACB=45°,∠CAB=105°后,就可以计算出A,B两点的距离为( ). A.3 m

C.2 m

5.灯塔A和灯塔B与海洋观察站C的距离都是10海里,灯塔A在观察站C的北偏东40°,灯塔B在观察站C的南偏东20°,则灯塔A和灯塔B的距离为( )

A.10海里 B. 20海里 C.102海里 D.103海里

6.设ab4,若a在b方向上的投影为

A.

B.1002 m D.252 m

00

 3

B.

 6

2

, 且b在a方向上的投影为3, 则a和b的夹角等于( ) 3

22

C. D.

3

7.

如图,O为圆心,若圆O的弦AB=3,弦AC=5,则AO·BCA.1 B.8 C. -1 D. -8

(第7题)

8.圆内接四边形ABCD中,AB3,BC4,CD5,AD6,则cosA( ) A.

1111 B. C. D. 6121921

9.已知平行四边形ABCD的周长为18,又AC=65,BD=,则该平行四边形的面积是( ) A.32 B.17.5 C.18 D.16

10.下面4个结论中,正确结论的个数是( )

①若数列an是等差数列,且amanasat(m、n、s、tN*),则mnst; ②若Sn是等差数列an的前n项的和,则Sn,S2nSn,S3nS2n成等差数列; ③若Sn是等比数列an的前n项的和,则Sn,S2nSn,S3nS2n成等比数列; ④若Sn是等比数列an的前n项的和,且SnAqB;(其中A、B是非零常数,

n

nN*),则AB为零.

A.4 B.3 C.2 D.1

11.已知△ABC的三边长是三个连续的自然数,且最大内角是最小内角的2倍,则最小内角的余弦值为( )

3572

A. B. C. D.

46103

12.设等差数列an的前n项和为Sn,且满足S150,S160,则

S1S2S3S15

中最大项为( ) …

a1a2a3a15

A.

S9SSS

B. 8 C. 7 D.6

a9 a8a7a 6

二、填空题(本大题共4小题,每小题5分,共20分,请将答案填在答题卡上相应位置) 13. 设公比为q的等比数列{an}的前n项和为Sn,若Sn1、Sn、Sn2成等差数列,则q= ___________.

14.在△ABC中,三边长分别为AB=7,BC=5,AC=6,则_________. 15.已知ABCDEF是正六边形,在下列4个表达式

(1), (2) 2BCDC , (3)BCCDEC , (4) 2中,运算结果与AC相等的表达式共有_________个.

16. 在△ABC中,AB46,cosB

,AC边上的中线BD35, 则sinA_________. 6

三、解答题(本大题共6小题,共70分,解答应写出文字说明、证明过程或演算步骤) 17. (本小题满分10分)

在△ABC中,角A,B,C所对的边分别为a,b,c,已知a2,c5,cosB(Ⅰ)求b的值; (Ⅱ)求sinC的值.

18. (本小题满分12分)

已知等差数列{an}的公差d0,a11,且a1,a3,a9成等比数列. (Ⅰ)求数列{an}的公差d及通项an; (Ⅱ)求数列{2

an

3

. 5

}的前n项和Sn.

19.(本小题满分12分)

在ABC中,角A为锐角,记角A、B、C所对的边分别为a、b、c,设向量

m(cosA,sinA),n(cosA,sinA),且m与n的夹角为

(Ⅰ)计算mn的值并求角A的大小; (Ⅱ

)若acABC的面积S.

20.(本小题满分12分)

. 3

已知i,j分别是与x轴,y轴方向相同的两个单位向量,OA1j,OA25j,

An1An2AnAn1(n2,nN),OB133,BnBn122(nN)

(Ⅰ)

(Ⅱ)求OAn,OBn的坐标.

21. (本小题满分12分)

如图,在ABC中,设,,又

221,向量,的夹角为

 3.

(Ⅰ)用,表示;

(Ⅱ)若点E是AC边的中点,直线BE交 AD于F点,求.

22. (本小题满分12分)

已知数列an中,a11,an1 (Ⅰ)求a2,a3;

B

an

(nN*) an3

11

是等比数列,并求an的通项公式an; an2

nn

(Ⅲ)数列bn满足bn(3n1)nan,数列bn的前n项和为Tn,若不等式(1)nTnn1对

22

一切nN*恒成立,求的取值范围.

(Ⅱ)求证:

武汉市部分重点中学2014-2015学年下学期

高一数学期中考试试卷参考答案

一、选择题(本大题共12小题,每小题5分,共60分)

二、填空题(本大题共4小题,每小题5分,共20分) 13. -2 14. -19 15. 4 16. 三、解答题

17. (本小题满分10分)

解:(Ⅰ)由余弦定理bac2accosB 得

2

2

2

70 14

b2425225

3

17 5

b ………………………(5分)

(Ⅱ)cosB

34bcsinB,由正弦定理 得 55sinBsinC

54sinC………………………(10分)4sinC175

18. (本小题满分12分)

解:(1)由题设知公差d≠0,

由a11,a1,a3,a9成等比数列得: 解得d=1,d=0(舍去)

故{an}的通项an=1+(n-1)×1=n. ……………………………6分 (2)由(1)知2

am

12d18d

=, 112d

=2,

n

由等比数列前n项和公式得

2(12n)

Sm=2+2+2+…+2=

12

n+1

= 2-2. ……………………………12分

2

3

n

19. (本小题满分12分)

第二篇:《武汉市部分重点中学2014-2015学年度上学期高一期中考试》

武汉市部分重点中学2014-2015学年度上学期高一期中考试

英 语 试 卷

2015年武汉市部分重点中学高一期中考试

第一部分:听力(共两节,满分30分)

第一部分:听力(共两节,满分30分)

第一节(共5小题;每小题1.5分,满分7.5分)

听下面5段对话。每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。

1. When did the woman see Bob?

A. At 3:00. B. At 4:00. C. At 6:00.

2. What will the two speakers by next?

A. A jacket. B. A handbag. C. A watch.

3. What do the two speakers hope to do?

A. Stop cigarette production.

B. Advise people not to smoke.

C. Stop young people from smoking.

4. What’s the most probable relationship between the two speakers?

A. Mother and son. B. Hostess and guest. C. Waitress and customer.

5. Where does the man’s brother probably work now?

A. At the post office. B. In a language school. C. In a publishing house.

第二节(共15小题;每小题1. 5分,满分22. 5分)

听下面5段对话或独白。每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项. 并标在试卷的相应位置。听每段对话或独白前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题给出5秒钟的作答时间。每段对话或独白读两遍。 听第6段材料,回答第6、7题。

6. What color is the coat that the woman chooses?

A. Red. B. Grey. C. Black.

7. How much will the woman pay?

A. 100 dollars. B. 90 dollars. C. 80 dollars.

听第7段材料,回答第8、9题。

8. Why is the man unhappy?

A. Medicine is too difficult for him.

B. His parents won’t support his dream.

C. He doesn’t know what he really loves.

9. What does the woman really want to be?

A. A writer. B. An engineer. C. A singer.

听第8段段材料,回答第10至12题。

10. What are the two speakers going to do?

A. Visit Mark together. B. Eat in a restaurant. C. Do the shopping.

11. What time is it probably now?

2015年武汉市部分重点中学高一期中考试

A. 5:50. B. 6:00. C. 6:30.

12. What feature will probably help the man recognize the woman?

A. She wears glasses. B. She is wearing a gray dress. C. She has long black hair.

听第9段材料,回答第13至16题

13. When will the party be held?

A. On Friday. B. On Saturday. C. On Sunday.

14. Where will the party be held?

A. In Newcastle. B. In Hill Peak. C. At Central Park.

15. How will the woman go there?

A. By car. B. By subway. C. By bus.

16. What gift will the woman probably get Jenny?

A. An ice cream cake. B. some flowers. C. A teddy bear.

听第10段材料,回答第17至20题。

17. What does the speaker think of chemistry?

A. Boring. B. Useful. C. Difficult.

18. How many young scientists attended the meeting?

A. 677. B. 625. C. 624.

19. What is Laura doing in Germany?

A. She is working in a lab. B. She is attending college. C. She is teaching in a college.

20. Who is interested in insects?

A. Jon. B. Laura. C. Ben.

第二部分:词汇知识运用(共两节,满分30分)

第一节:多项选择(共10小题;每小题1分,满分10分)

从每题所给的A、B、C、D四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。

21. She devoted herself ______ to her research and it earned her a good reputation in her field.

A. strongly B. extremely C. entirely D. freely

22. The two families have ______ their disagreements in a friendly way, and this is what all of us expected to see.

A. settled B. solved C. defeated D. overcame

23. We should keep in mind that there’s usually ______ one way to solve the same problem.

A. less than B. rather than C. other than D. more than

24. I stopped and said hello to Susan when I saw her, but she ______ me completely and walked on.

A. ignored B. followed C. concerned D. forgot

2015年武汉市部分重点中学高一期中考试

25. The second he heard the news, a(n) ______ of surprise appeared on his face.

A. attention B. situation C. function D. expression

26. --The head teacher said we had only three days to finish the project.

--Don’t worry. We have already ______ two third of it.

A. taken over B. made up C. got through D. given away

27. Being a ______ tennis player, Williams wouldn’t let anyone or any difficulty stop her.

A. stubborn B. reliable C. determined D. concerned

28. Doctors ______ the fat woman not to eat so much junk food, but she just couldn’t give it up.

A. persuaded B. promised C. commanded D. advised

29. Martin Luther King was happy to help because he knew it would help them ______ their dream of making black and white people equal.

A. burst B. finish C. identify D. achieve

30. Busy as he is, he ______ a few hours for exercise every day.

A. sets off B. sets about C. sets down D. sets aside

第二节:完型填空(共20小题;每小题1分,满分20分)

阅读下面短文,掌握其大意,从每题所给的A、B、C、D四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。

For most, getting your first car opens up a new world of freedom and allows you to go wherever you want, whenever you want. Getting a car did this for me, and it also brought my best friend and me . But then it tore us apart.

My best friend lives three minutes from my . Since her is in late summer, seven months behind mine, I basically became her when I turned 16 in December.

And so

  • 2015武安高一期中考试日期
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