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贵州省2015年12月普通高中学业水平考试数学及答案

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贵州省2015年12月普通高中学业水平考试数学及答案(一)
贵州省2015年12月普通高中学业水平考试数学试卷

贵州省2015年12月普通高中学业水平考试数学及答案(二)
贵州省2015年12月普通高中学业水平考试数学试卷

贵州省2015年12月普通高中学业水平考试数学试卷

1

Sh (S为底面面积,h为高) 3

432

球的表面积公式:S4R, 球的体积公式:VR (R为球的半径)

3

参考公式:柱体体积公式:VSh,椎体体积公式:V一.选择题(3*35=105)

1.设集合A{1,2,3},B{2,3,4},则AB=( ) A.{2,3} B.{1,2,3,,4} C.{1,4} D. 2.函数f(x)

x1的定义域为( )

A.{xx1} B.{xx1} C. {xx1} D.{xx1} 3.一个球的直径是3,则它的表面积为( )

9

A. B. 6 C. 9 D. 36 2

4.cos120= ( ) A. -

11 B. - C. D.

2222

5.下列四个几何体是棱柱的是( )

A B C D 6.下列函数中,在(0,5)上是增函数的是( )

2

A. f(x)x B. f(x)-x3 C. f(x)

3

D. f(x)lgx x

7.已知两条直线l1:y2x3,l2:ymx1,若l1//l2,则m( ) A.-2 B. -

11

C. D. 2 22

8.某学校有教师200人,男学生1000人,女学生800人,现用分层抽样的方法从所有师生中抽取一个容量

为40的样本,则应抽取女学生的人数为( ) (A) 36 (B) 20 (C) 16 (D) 4 9.已知a0,则a的意义是( ) A.

32

1a3

B.

1

a2

C.

a2 D. a3

10.掷一枚质地均匀的骰子,向上的点数小于3的概率是( ) A.

1112 B. C. D. 6323

11. 在等差数列{an}中,且a34,a58,则a4( ) A. -2 B. 0 C. 2 D. 4

''''''

12.如图,在长方体OABCOABC中,AB3,BC4,CC1,则点B的坐标是( )

A. (4,3,1) B. (3,4,1) C. (1,4,3) D. (4,1,3) 13.函数yx2在0,2上的最小值是( ) A. 4 B. 2 C. 1 D. 0

14.ABC中,已知A45,B30,a2,则b( ) A. 1 B.

2 C. D. 2

(x4)(x2)0的解集为( ) 15.不等式

A. -,-42,

B. -4,2 C.-,-24, D. -2,4

16.已知直线经过点(0,3),斜率为-2,则该直线的方程是( )

A. y3x2 B. y3x2 C. y2x3 D. y2x3 17.若x0,则x

12题

9

的最小值是( ) x

A. 3 B.5 C. 6 D. 7

18. ABC中,已知AB=4,BC=3,ABC60,这个三角形的面积为( )

A. 3 B. 33 C. 6 D. 6

20.为了得到函数ysin(xxR的图象,只需把曲线ysinx上所有的点( )

13

11

个单位 B.同右平移个单位 3311

C. 向左平移个单位 D .向右平移个单位

3310.310.410

27. 已知a(,b(,c(,则( )

222

A. abc B. cba C. acb D. cab

A.向左平移

28.如图,在三棱柱ABC-A1B1C1的各条棱所在直线中,与CC1的位置关系为异面直线的共有( ) A.2 条 B.3 条 C. 4 条 D. 6 条

A1

B

1

29.若sinxcosx

1

,则sinxcosx( ) 3

A.

2244 B.- C. D. - 3399

30.在下列区间中,函数f(x)x32存在零点的是( ) A.(-1,0) B.(0,1) C. (1,2) D. (2,3)

31.已知x,y的几组对应数据如右表。根据右表求得回归方程为ybxa,则( )



A. a>0,b>0 B. a>0,b<0 C. a<0,b>0 D. a<0,b<0

2

32. ABC三内角A,B,C所对的边分别为a,b,c。已知A,B,C成等差数列,且bac,则这个三角形的现状

是( )

A.钝角三角形 B.直角三角形 C. 等边三角形 D. 等腰直角三角形 33.在区间(0,1)中,随机取出两个数,其和小于A.

1

的概率是( ) 3

81171 B. C. D.

991818

现准备用下列四个函数中的一个,近似地表示这些数据的规律,其中最接近的一个是( ) A.y

12

(x1) B.y2x2 C. ylog3x D. y2x2 2

35.设直线l:ykx,(k0)交圆O:x2y21于A,B两点,当OAB面积最大时,k=( ) A. B.3 C. 二.填空题(3*5=15)

36. 函数y5sinx的最大值是。 37. 已知函数f(x)

2 D. 1

log3x,x4

,则f(9)

x3,x4

38.

y【贵州省2015年12月普通高中学业水平考试数学及答案】

39. 一个几何体的三视图如图所示,则该几何体的体积是表示) 6

4 4

正视图 侧视图 俯视图

x1

40. 已知x,y满足约束条件xy30,则z3xy的最大值为

xy10

三、解答题:本大题共3小题,每小题10分,共30分,解答应写出文字说明、证明过程或推演步骤。 41.(本小题10分) 已知sin

3

,(0,),求tan及sin()的值。 224

42.(本小题10分)【贵州省2015年12月普通高中学业水平考试数学及答案】

如图,在三棱柱ABC-A1B1C1中,侧棱垂直于底面,ACB90,ACCB2,AA13

P是棱AA1上一点,AP1。 CB1

(1)求证:PC平面PB1C1; A1 (2)求三棱锥PBCC1的体积。

43.(本小题10分) C B

A 已知数列{n}的前n项和为Sn,且2Sn3n1. (1)求数列{n}的通项公式n;

(2)数列{bn}满足b11,bn1anbn,记cn

an

,求数列{cn}的前n项和Tn.

(an11)bn

贵州省2015年12月普通高中学业水平考试数学及答案(三)
贵州省2015年普通高中学业水平考试数学试卷

贵州省2015年12月普通高中学业水平考试数学及答案(四)
2015年贵州省普通高中学业水平考试数学卷

贵州省普通高中学业水平考试样卷(一)

数 学

第一卷

一、 (本试卷包括35小题,每题3分,共计105分) 选择题:每小题给出的四个选项,只有一项是符合题意的)

(1)已知集合A-1,1,B0,1,2,则AB( )

A.0 B. 1 C.1 D.1,1

(2)已知角-

角 ,则是( ) 4A.第一象限角 B.第二象限角 C.第三象限角 D.第四象限

(3)函数ycos3x的最小正周期是( )

A.24 B. C. D.2 33

(4)函数ylg(x2)的定义域为( )

 A.,2 B.,2 C.2, D.2,【贵州省2015年12月普通高中学业水平考试数学及答案】

(5)下列向量中,与向量a(4,3)垂直的是( )

4) B.4,3 C.(4,3) D.3,4 A.(3,

(6)直线y3x1的倾斜角是( )

A.30 B.60 C.120 D.

(7后得到的( )

A. B. C. D.

贵州省2015年12月普通高中学业水平考试数学及答案(五)
贵州省2015年12月普通高中学业水平考试英语学科试卷及答案

贵州省2015年12月普通高中学业水平考试

英语学科试卷及答案

【贵州省2015年12月普通高中学业水平考试数学及答案】

注意事项:

1.本试卷分选择题和非选择题两部分,共36小题,考试时间150分钟,满分150分。

2.答卷前,考生务必用黑色字迹的钢笔或签字笔将自己的姓名、准考证号填写在答题卡上。将条形

码横贴在答题

卡“考生条形码区”。

3.每小题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑,如需改动,用橡皮擦干净后,再选涂其他答案,答案不能答在试卷上。

4.考生必须保持答题卡的整洁。考试结束后,将试卷和答题卡一并交回。

第Ⅰ卷

第一部分 阅读理解(共两节,满分60分) 第一节 (共10小题;每小题4分,满分40分)

阅读下列短文,然后从各题所给的四个选项(A、B、C和D)中,选出最佳选项并在答题卡上将该选项涂黑。

A

There was a man .He had four sons. He wanted his sons to learn hou to judage things,so he let them go and look at a pear tree that was far away.

The first son went in winter, the second in the spring, the third in the summer , the youngest son in the fall.When they had all gone and come back, he called them together to describe what they had seen.

The first son said the tree was ugly,bent and weak. The second son said no--it was covered with green buds(新芽) and full of hope. The third son said it was filled with

all of them, he said it was ripe and full of fruit, life and fulfillment(成就). The man then said to his sons that they were all right, because they each had seen but only one season in the tree’s life. He told them that you cannot judge a tree or a person by only one season, and that essence of who they are — the pleasure,the joy And love from that — can only be measured at the end, when all

1

【贵州省2015年12月普通高中学业水平考试数学及答案】

第二部分 英语知识运用 第二节 语篇型语法填空

31.train 32.coins 33.asked 34.him 35.a 36.meal 37.have 38.unhappy 39.quickly 40.to pay 第三部分 初级写作 第一节 短文改错 Dear Li Hua

I am a high school student in the UK . I have just read yours article about 41. your your experiences in the UK . I would like ∧ be your penfriend. 42. to First of all ,let me introduce myself to you. My name ard Daniel Adams. 43. is

I am stud at Southampton High now .My favourite subject is English 44. studying Literature. I am interesting in reading novels. I’ve read all the Harry potter 45. interested book. At the weekend, I like playing football and surfing the Internet. 46. books I didn’t realized how different school in the UK are from schools in China 47. realize until I read your article . I’m eager to knowing what life is like in a 48. know Chinese high school . I was preparing to travel to China with my parents 49. am next the summer . Would you please be my guide if I travel to your city? 50. the I hope the magazine will pass this letter to you soon! Best wishes!

Daniel Adams 第二节 书面表达(满分20分) Dear Mike,

How are you going these days?

2

I’m sorry I haven’t answered your email for long. Dad has been ill and it has been a stressful time for us , but he is better now.

I’ve just returned from the summer holiday in Inner Mongalia . My families always go to Huhhot in August , because it’s the best time to anjoy the scenery of grasslands . Besides, the Nadama Fair is held at that time ,which is very interesting. The winter vacation is coming .Are you still learning in January or are you going on a holiday ? Shall we go together?

Please email to ma soon and give me all your recent news.

All the best!

3

Yours, Li Hua

The seasons are up.

If you give up when it’s winter, you’ll miss the hope of your spring, the beauty of your summer, the fulfillment of your fall. Don’t let the pain of one season destroy the joy of all the rest.

1.When did the youngest son go to observe the pear tree? A.In spring B.In autumn C.In summer D.In winter

2.What does the underlined word “blossoms”in the third paragraph mean? A.Colorful flowers B.Weak trees C.Green buds D.Ripe fruit 3.What’s mainly discussed in the text?

A.Don’t judge something B.Autum is the harvest season in a year. C.Never give up until you get success D.Spring is the best tiime to do the year’s work

B

American teenagers are driving less than ever before.Sureys of American teenagers show that American young people prefer chatting with their firiends online or playing games on the Internet to driving around in their cars.

For teenagers in the 50s and 60s of the 20th century,they had to have a car at an early age to show they were cool.Today, many teenagers have to choose between a car and the latest amarphones.With gas prices going up ,car driving is becoming more expensive.For almost half of the people between 18 and 26,surfing the Internet is more important than owning a car. Young adults today meet thrir friends just through Facebook and chat , swap photos and play games together.

The golden age of the 50s and 60s of the 20th century when teenagers drove around just for fun is gone . In those days a shiny new car was something to boast about . It shower who you were . In those days a shiny new car was something to boast about . It showed who you were . In 1978 about half of all 16-year-olds got their driver’s licenses(驾驶执照)as soon as they had reached that age . In 2010 the figure dropped to only30%.

Today driving is not as much fun as it was in the 50s and 60s of the 20th centuey . In the golden age car meant everything for young people . Another reason why teenagers drive less may be stricter driving tests and the fact that 16-year-olds must drive with experienced drivers over 21 .

A study also shows that Amerricans of all ages have reduced car use , mostly because

4

high gas prices.

1.Why did teenagers in the 50s and 60s have to buy a car?

A.To go traveling with their families . B.To play games with their friend . C.To have more talks with their friends D.To become cool and enjoy themselves. 2.What make today’s American car sales fall down according to the last paragraph? A.High gas prices B.Strict driving tests C.Heavy traffic D.Lack of fashion styles 3.The text is organized by comparing the different needs between American teenagers in the 50s and 60s of the 20th century and .

A.American teenagers in 1978 B.16-year-olds in Asia C.today’s teenagers in America D.middle-aged Asiana

C

Marco polo was born in Italy in 1254. When he was 17 years old, he traveled across Europle and Asia with his father , who wanted to do trade with the Chinese . Eventually , they arrived in Beijing . At that time, China was ruled by the Yuan Dynasty Emperor, Kublai Khan. Kublai Khan welcomed Marco and his father. He was very happy to meet two foreigners and wanted to learn all about Europe. Marco and his father were guests at the Emperor’s Palace. Although Marco was young, he was very clever and could already speak four languages. The Emperor was impressed by him and they became friends . He asked Marco to serve in his court and sent him to do many important tasks across the country.

In 1291, after 17 years of service to the Emperor, Marco returned to Italy. He was now a very wealthy man. Not long after his return , a local war broke out near his town. During the war, Marco was the captain of a warship but was caught by the enemy and put into prison. However, Marco was lucky enough to meet another prisoner who enjoyed listening to his stories about China. The prisoner was an author and he took dictation while Marco told all his stories to him. The prisoner then wrote the stories in a book called The Description of the World, which became one of the best-selling books in Europe.

Although people enjoyed reading his book, many of them thought that Marco’s stories about China were too fantastic to be true. But Marco always stood by his tales. Just before When Marco was asked the question, “Was it all true?”, to which he replied, “I have only told a half of what I saw!”

7. How long did Marco polo serve the Emperor?

5


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