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2013石家庄质检一 第一篇_2013石家庄质检一理

2013年石家庄市高三毕业班质量检测(一)

数学（理科答案）

一、选择题：共12小题，每小题5分，共60分. 1-5ABABC 6-10DBCCB 11-12DC

二、填空题：本大题共4小题，每小题5分，共20分.

4n213. 15. (,1][8,) 16.  33

三、解答题：

17.解：（Ⅰ）设等差数列an的公差为d． 由已知a32a7，S417， a12d2(a16d)得，………………2分 434a1d172

a15n11解得，a．……………5分 1n22d2

(Ⅱ)法一：

2n(n1)1121441Sn5nn.224216……………8分

1当n取１０或１１时，Sn取最大值27．……………10分 2

法二：数列an的a10,公差d0，

此等差数列an是首项为正数的递减数列． 当n11时，an11n0； 2

所以当1n11且nN时，有an0;

 当n12且nN时，有an0．………………8分

综上：当n取10或11时，S11S1027

所以Sn取最大值271． 21．………10分 2

018.解：依题意，CDl，ACD45，

2013石家庄质检一 第二篇_2013年石家庄市高中毕业班教学质量检测(一)

2013年石家庄市高中毕业班教学质量检测（一）

高三数学（理科）

一、选择题（60分）

1、若集合A＝{x|x＞－2}，B＝{x|－3＜x＜3}，则AB＝ A、{x|x＞－3} B、{x|－3＜x＜3} C、{x|x＞－2} D、{x|－2＜x＜3}

2、若a,bR，i为虚数单位，且a＋2i＝i（b＋i），则a＋b＝ A、－1 B、1 C、2 D、3 3、双曲线3x2－y2＝12的实轴长是

A 、4 B、6 C、

D、

4、采用系系统抽样方法从480人中抽取 16人做问卷调查，为此将他们随机编号为1 、2、…、480，分组后在第一组采用简单随机抽样的方法抽到的号码为8抽到的16人中，编号落人区间［1，160］的人做问卷A，编号落入区问［161，320］的人做问卷B，其余的人做问卷C，则被抽到的人中，做问卷B的人数为

A、4 B、5 C、6 D、7 5、如右图所示，程序框图输出的结果为 A、15 B、16 C、136 D、153

x10

6、在平面直角坐标系中，不等式组xy0，表示的平面区域

xy40

A、3 B、

的面积是

9

C、6 D、9 2

好落在

7、如图所示，若向正方形ABCD内随机投入一质点，则所投的质点恰CE与y轴及抛物线y＝x2所围成的阴影区域内的概率是 A、

1112 B、 C、 D、 5673

x2

cos2x的图象大致是

8、函数y3

7

2x)，则sin(x)学科网的值为 3831717

A、 B、 C、± D、±

4848

9、若cos(



10、已知圆x2＋y2－2x－4y＋a－5＝0上有且仅有两个点到直线3x－4y－15＝0的距离为1，则实数a的取值范围为 A、（5,7） B、（－15,1） C、（5,10） D、（－,1） 11、如图，棱长为1的正方体ABC－A1B1C1D1中，E，F为A1C1上两动点，且EF＝误的是

A、BD⊥CE

B、△CEF的面积为定值

C、直线BC与平面CEF所成的角为定值 D、直线BE与CF所成的角为定值 12、已知单位向量e与向量a，b满足：｜a－e｜＝｜a｜，（a－b）²（b＝0，对每一个确定的向量a，都有与其对应的向量b满足以上条件，M，m分别为｜b｜的最大值和最小值，令t＝｜M－m｜，则对任意量a，实数t的取值范围是 A、［0,1］ B、［0，

1

，则下列结论中错2

－e）设的向

11］ C、［,］ D［1，］

22

二、填空题（20分） 13、在(x

16

)的展开式中，常数项为＿＿＿＿＿（用数字作答）。 x2

14、某几何体的三视图如右图所示，则该几何体的体积为＿＿＿

1x

(),x1

15、若函数f(x)2，则f（x）≥2的解集为＿＿＿

log2x,x1

16、当nN*时，定义函数N（n）表示n的最大奇因数，如

则S（n）＝＿＿＿＿（用关于n的代数式表示）。

三、解答题（70分）

17、（本小题满分10分）已知等差数列{an}的前n项和为Sn，且a32a7，S417 （1）求数列{an}的通项公式。

（2）求数列{an}的前n项和Sn的最大值。

18、（本小题满分12分）

在一次抗雪救灾中，需要在A，B两地之间架设高压电线，为测量A，B两地的距离，救援人员在相距l米的C，D两地（A，B，C，D在同一平面上），没得∠ACD＝45°，∠ADC＝75°，∠BCD＝30°，∠BDC＝15°（如右图）。考虑到电线的自然下垂和施工损耗等原因，实际所需电线长度大约应该是A，B距离的1.2倍，问救援人员至少应该准备多长的电线？

19、（本小题满分12分）

如图，已知四棱锥P－ABCD的底面为矩形，PA⊥底面ABCD，且AB

BC＝1，点E，F分别为AB，PC中点。

（I）当PA的长度为多少时，EF⊥PD；

（II）在（I）的前提下，求二面角B－PC－D的余弦值。

20、（本小题满分12分）

为参加部队射击比赛，甲、乙两人进行了4天的集中训练，每天的射击数据如下表 甲射击数据表： 乙射击数据表：

将射击环数的频率视为概率，估计他们的比赛成绩。

（I）求甲、乙两人射击环数X1，X2的分布列，根据射击环数的期望与方差比较两人的射击水平；

（II）若射击成绩在9环以上（含9环）为成绩优秀，求甲在3次射击中至少有2次成绩优秀的概率。 21、（本小题满分12分）

x2y2

已知椭圆C：221(ab0)的右顶点、上顶点分别为M，N，过其左焦点F（－c，0）作垂

ab



直于x轴的直线l，且与椭圆在第二象限交于P点，MNOP。

（1）求椭圆C的离心率； （2）若椭圆的弦AB过点E

，0）且不与坐标轴垂直，设点A关于x轴的对称点A1，直线A1B与x轴交于点R（5,0），求椭圆C的方程。 22、（本小题满分12分）

已知函数f(x)

a

lnx。 x

（I）若f（x）在x＝1处取得极值，求实数a的值； （II）若f（x）≥5－3x恒成立，求实数a的取值范围。

2013石家庄质检一 第三篇_2013石家庄质检(一)英语试题及答案

2013年石家庄市高中毕业班教学质量检测(一)

第二节 完形填空(共20小题：每小题1．5分，满分30分) I was driving home the other day on a sunny afternoon. I felt 36 as I sang along to the songs on the radio. It was a 37 day. I felt full of happiness. My good mood 38 , however, when the radio station took a news break between songs. 39 , I found myself listening to another story of a rich, beautiful celebrity 40 scandal (丑闻）and lawlessness. I 41 my head in disbelief as I came to a stoplight.

As I pulled to a stop I four leather-jacketed bikers. They were standing in the middle of the road with two on either side of the light. They looked and dangerous, but as I got I noticed each one was holding in their hands. I rolled down my

window as one my car. "We are the Brother’s of the Wheel", he said. "We are money for a Christmas Toy Drive for children this year." As I a dollar out of my wallet, I looked past his beard and tattoos and into his . They shined with a goodness and that came right from his soul. I dropped the money in his helmet and waved to the other bikers as I .

People often books by their covers but it’s what is written in our hearts and souls that should be read. Perhaps one day we will realize that looks matter little and matter much.

36. A. deserted B. delighted C. disappointed D. disturbed

37. A. beautiful B. grey C. long D. sad

38. A. remained B. grew C. ended D. improved

39. A. Suddenly B. Frankly C. Honestly D. Generally

40. A. devoted to B. interested in C. applied to D. involved in

41. A. raised B. shook C. lowered D. nodded

42. A. hit B. caught C. noticed D. called

43. A. helpful B. polite C. careless D. rough

44. A. farther B. closer C. faster D. slower

45. A. sunglasses B. bottles C. helmets D. bikes

46. A. entered B. approached C. checked D. parked

47. A. collecting B. saving C. paying D. spending

48. A. lovely B. needy C. healthy D. wealthy

49. A. moved B. helped C. made D. pulled

50 A. shoulders B. eyes C. minds D. hands

51. A. fear B. pity C. shame D.kindness

52. A. got off B. walked away C. drove off D. got in

53. A. returned B. gone C. disappeared D. changed

54. A. buy B. print C. judge D. read

55. A. words B. difficulties C. hopes D. actions

第三部分 阅读理解（共两节，满分40分）

第一节（共15小题；每小题2分，满分30分）

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

A

In 2012, I found a letter which was never opened. This is what it said:

Dear Sherri

By the time you read this you will be 30. At the age of 18, I had so many hopes and dreams about your life.

Now I hope that you have traveled everywhere and maybe settled down somewhere in Australia doing some research in the field of genetics.

I hope you're married to the man of your dreams. The man of mine is Gwynn.

You'll probably have two children.

If everything goes according to plan, you'll be living in Australia in a big house with a lot of land, a dog, Gwynn and your two beautiful children. Hopefully you have a career in the medical field, maybe doing research in genetics. Gwynn will be a computer programmer.

However, if things don't go according to plan for you, I wish you all the love, happiness and joy in the world.

Be happy and live life to it's fullest.

Love,

Sherri "18″

When I read this for the first time since writing it, I was I can't help but think this is really cool.

I find it fascinating how the dreams of a young and naive little girl can become a grown woman's reality. So much of what I wanted for myself has come true.

I'm curious if you guys have ever written anything to your future self and how it stacks up (累加）to your current reality. If you haven't, will you join me in writing a letter now to yourself in 10 years from now? It's an interesting little experiment.

56. Who is the writer of the letter mentioned in the text?

A. Sherri’s friend. B. Gwynn’s friend.

C.Sherri’s mother. D. Sherri herself.

57. What does the underlined word “floored” probably mean?

A. Disappointed. B. Astonished

C. Encouraged. D. Frightened.

58. What might be the purpose of the text?

A. To invite more people to follow her example.

B. To describe an unusual experience to the readers.

C. To expect more people to share her curiosity.

D. To show great concern to the woman named Sherri.

59. In college, Sherri is most likely to major in___________.

A. computer engineering B. medical science

B. children education D. business management

B

The role of women in Britain has changed a lot, especially in the last twenty years. The main change has been giving women greater equality with men. Up to the early part of the 20th century, a woman's main role was to find a husband, produce children and do the housework.

Perhaps the most important difference today is that so many women work, even after they get married. Today over half of all married women now have jobs, and women as a whole make up over one-third of the Britain work force. This has changed the roles of the husband and wife. For example, many young husbands are now ready to take their share in doing the housework and looking after the children. And the husband no longer expects to make all the important decisions himself. His wife will share in decisions about money. In some cases the husband does not work but his wife does. In this case, the wife earns money for her family, and takes on the traditional male role.

There are still some people in Britain today who believe that women are less important than men, and that a woman's place is in the home. But younger people usually do not have these old ideas, and young women expect to be treated as their husbands' equals. The big problem for women today is that they need to be "Superwomen" to be good at their jobs and to take care of their husbands, children and homes. In short, they have to do with two full-time jobs at the same time.

60. What is the topic of the text?【2013石家庄质检一,】

A. The equality of men and women in Britain.

B.The differences between men and women in Britain.

C. The influence of women in Britain.

D.The changing role of women in Britain.

61. Which of the following women can be called “Superwoman”?

A. Linda, an excellent lawyer supporting a happy large family.

B. Mary, a hard-working clerk who has got married recently.

C. Michelle, a successful sales manager who is also a single mother.

D. Joan, a promising photographer who has just left college.

62. Compared with the early part of the 20th century, the British men today tend to_________.

A. take on the traditional male role only.

B. forbid their wives to work outside.

C. make all important decisions himself.

D. take their share in doing housework.

* Medical and Health Care Medical and health care opportunities lead all other flexible careers in job listings. Newer technology has led to an increase in opportunities for nurses or health care support workers to work offsite via an internet connection and telephone. Prepare: Studying medical assisting in a certificate or associate's degree program is a common way to prepare for a career as a medical assistant. For nurses, earning your associate's or bachelor's degree in nursing is recommended. Earning: Medical Assistants: $29,760 Registered Nurses: $67,720 * Sales Do your job well in sales and you may be able to pick and choose where you work. In fact, many sales representatives(reps) have the freedom to determine their own schedules. Prepare: Sales reps with a college degree have the best job. Recommended degrees include sales, marketing, and business administration. Earning: Sales Reps: $60,430 Sales Reps (Wholesale and Manufacturing): $62,720 Sales Reps (Technical and Scientific): $84,360 * Online Teaching and Tutoring The popularity of online schools has led to an increase in demand for online teachers, which also makes tutoring as a possible telecommuting career choice. Prepare: You'll need a bachelor's degree, at a minimum and often a graduate-level degree in what you want to teach could be necessary. To teach public school, you need your teacher certification. Earning : Postsecondary Communications Teachers: $67,820 Postsecondary Computer Science Teachers: $78,190 * Customer Service and Support Working from home is becoming more common because there are many part-time customer service opportunities available. Prepare: While it is possible to get hired with just a high school diploma, customer service reps with an associate's or bachelor's degree could have better chances. Earning : Customer Service Reps: $32,780 Computer Support Specialists: $49,930 63. If you want to work as a medical assistant, ___________. A. you must have a bachelor’s degree. B. the amount of money you can earn is $67,820 C. you must have two years’ work experience. D. you need to study related subjects in a degree program. 64. Why is online teaching and tutoring becoming a possible telecommuting career choice? A. There are more and more online schools. B. Students are more interested in new technology. C. Classroom teaching is becoming more boring. D. People are likely to teach themselves at home. 65. To earn the highest salary with a flexible schedule, you can work as_______. A. Registered Nurses B. Computer Support Specialists C. Technical and Scientific Sales Reps D. Postsecondary Computer Science Teachers 66. With a high school diploma, which can you apply for as a flexible job? A. Customer Service Representatives B. Medical Assistants C. Sales Representatives D. Postsecondary Communications Teachers C

D

I've been a an educator as scuba diving instructor(水肺潜水） for five years. Frankly, my friends don’t know why I’ve changed my job from a very high income position and chosen to be a scuba diving instructor. To be honest, it took me years to figure out this conundrum.

When I ask most of my colleagues what motivates them as educators, they say they enjoy "lighting a fire within". But not me. This never seemed enough to explain why I became an educator. Then, about 6 years ago, the rather simple answer came to me: Nothing is more important and enjoyable to me than learning while having fun. Teaching sport is the way that I learn and have fun.

Fortunately, I picked the best subject in the world to teach. For example, had I become a ski instructor, I'd have taught nothing but skiing. The same goes if I had chosen the job of tennis or golf , even they are also my hobbies. But scuba diving is very different. One of the most consistent comments I hear from students is that "they never imagined they'd learn so much about so many different subjects." Of course, they enter the class eager to learn a new sport, how to assemble(装配） the equipment and survive underwater. Yet, by the end of the course, they discover they've learned a great deal more than just how to dive.

In becoming able divers, they explored subjects like physics, physiology and oceanography. Moreover, if they remain a diver and travel to different countries and experience new cultures, they'll continue to learn geography, anthropology and history.

67. Why did the author change his job and become a scuba diving instructor?

A. He enjoyed “lighting a fire within” the students.

B. He couldn’t find a sense of achievement in his former job.

C. He can learn and have fun while teaching scuba diving.

D. He was offered low salary by his former boss.

68. Why did the author say scuba diving was the best subject to teach?

A. Teaching other sports is not his hobbies.

B. Both students and the author can learn a lot from it.

C. Teaching skiing is considered very dangerous.

D. Teaching scuba diving gives him a higher salary.

69. Students can learn the following from scuba diving Except____________.

A. diving skills and how to assemble equipment

B. various cultures of different countries

C. subjects like physics, chemistry and math

D. knowledge about geography and history

70. What can we learn from the text?

A. The author used to teach skiing, tennis and golf.

B. The author wasn’t clear why he changed his job at first.

C. The author’s friends were in favor of his idea to change his job.

D. The author could have fun and learn a lot in his former job.

2013石家庄质检一 第四篇_2013年石家庄质检

2013石家庄质检一 第五篇_2013石家庄 质检(二)数学(文)

2013年石家庄市高中毕业班复习教学质量检测（二）

高三数学 （文科）

(时间120分钟，满分150分）

第I卷 (选择题，共60分）

一、选择题:本大题共12小题，每小题5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. 1.

复数

10

=

12i

A. －4＋2i B. 4－2i C. 2－4i D. 2＋4i

2.

已知命题p:x2

0R，x0

2x020则p为

A. x2

2

0R,x0

2x020 B. x0R,x02x020

C. xR,x2

2x20 D. xR,x2

2x20

3.中心在坐标原点的椭圆，焦点在x轴上，焦距为4，离心率为

2，则该椭圆的方程为

2

2

A.

x

2

y

2

x

2

2

2

C.

x

y

2

D.

x

2

16



12

1 B.

12



y

8

1 12



4

1 8



y

4

1

4、在△ABC中，角A，B，C所对的边长分别为a，b，c，且asinAsinB＋bcos2A

，则

b的值

a

为

A、1 B

C

D、2

5、已知向量a、b的夹角为45°，且｜a｜＝1，｜2a－b

b｜＝

A、

B、

C

D、1

6.

设(x1,y1)，(x2,y2)，…，(xn,yn)，是变量x:和y的n个样本点，直线l是由这些样本点通过最小

二乘法得到的线性回归方程(如图），以下结论中正确的是 A. x;和y正相关

B. x和y的相关系数为直线l的斜率 C. x和y的相关系数在－1到0之间

D.

当n为偶数时，分布在l两侧的样本点的个数一定相同

7、已知等差数列{an}满足a2=3，Sn－Sn－3=51(n>3) ，Sn= 100，则n的值为 A. 8 B. 9 C. 10 D. 11

8.在圆的一条直径上，任取一点作与该直径垂直的弦，则其弦长超过该圆的内接等边三角 形的边

长的概率为 A.

1 B.

1 C.

1 D.

3

4

3

2

2

9.阅读程序框图(如右图），如果输出的函数值在区间[

1，1]上，则输

4

入的实数x的取值范围是 A.(,2] B.［－2,0］ C.［0,2］ D.[2,)

10、已知三棱锥A－BCD内接于珠O，AB＝AD＝AC＝BD

BCD＝60°，则球O的表面积为A、

32

 B、2 C、3 D、

92



211.Fx21,F2分别是双曲线a

2



y的左、右焦点，过F1的直线l与双曲线的左、右两支分别交

b

2

1于A、B两点.若ΔABF2是等边三角形，则该双曲线的离心率为 A. 2 B.

7 C. D.

12.设方程10x＝｜lg(－x)｜的两个根分别为x1,x2，则

A. x1 x2<0 B. x1 x2=1 C. x1x2 >1 D、0<x1 x2<1

2013石家庄质检（二）数学 文

1

第II卷 (非选择题，共90分）

二、填空题:本大题共4小题，每小题5分，共20分.

13.曲线y＝x3－2x＋3在x＝1处的切线方程为____________________ 14.在样本频率分布直方图中，共有11个小长方形，若中间一个小长方形的面积等于其它10个长方形的面积和的则中间一组的频数为__________

15.在矩形ABCD中，AB=2,BC=1,E为BC的中点，若F为该矩形内（含边界）任意一点，则：AE.AF的最大值为_____________:

16.已知某几何体的三视图如右图所示，则该几何体的体积为_______________ 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12分）

已知函数f(x)sin2x2cosx (I)求函数f（x）的最小正周期；

(II)求函数f（x）的最小值.及f（x）取最小值时x的集合。

18.(本小题满分12分）

某市的教育研究机构对全市高三学生进行综合素质测试，随机抽取了部分学生的成绩，得到如图所示的成绩频率分布直方图. (I )估计全市学生综合素质成绩的平均值；

(II)若综合素质成绩排名前5名中，其中1人为某校的学生会主席，从这5人中推荐3人参加自主招生考试，试求这3人中含该学生会主席的概率。

19.(本小题满分12分） 如图，已知三棱柱ABC-A1B1C1

(I)若M、N分别是AB，A1C的中点，求证：MN//平面BCC1B1 (II)若三棱柱ABC－A1B1C1的各棱长均为2，∠B1BA＝∠B1BC＝60°，P为线段B1B上的动点，当PA＋PC最小时，求证：B1B⊥平面APC。

20.(本小题满分12分）

已知直线l1：4x:－3y＋6=0和直线l2：x＝－

p2

2

，.若拋物线C:y=2px上的点到直线l1和直线l2的距

2

离之和的最小值为2. (I )求抛物线C的方程；

(II)直线l过抛物线C的焦点F与抛物线交于A，B两点，且AA1，BB1都垂直于直线l2，垂足为A1，B1，直线l2与y轴的交点为Q，求证：21.(本小题满分12分）

已知函數f(x)＝ln＋mx（m∈R） (I)求函数f(x)的单调区间；

(II)若A，B是函数f（x）图象上不同的两点，且直线AB的余率恒大于1，求实数m的取值范围。

请考生在22〜24三题中任选一题做答，如果多做，则按所做的第一题记分.

22.(本小题满分10分) 选修4-1几何证明选讲 如图，AB是

O的直径，BE为圆0的切线，点c为

o 上不同于A、B的

O交于D，与

一点，AD为BAC的平分线，且分别与BC 交于H，与BE交于E，连结BD、CD. (I )求证:BD平分CBE （II）求证：AH•BH=AE•HC

23.(本小题满分10分） 选修4-4:坐标系与参数方程

在平面直角坐标系xOy中，以坐标原点O为极点x轴的正半轴为极轴建立极坐标系， 曲线C1的极坐标方程为：312cos10(0) (I)求曲线C1的普通方程； (II)曲线C2的方程为

24.(本小题满分10分)选修4-5:不等式选讲 已知函数f(x)=|x－1|

(I )解关于x;的不等式f(x)+x2－1>0;

(II )若f(x)=－|x+3|＋m，f(x)＜g(x)的解集非空，求实数m的取值范围

.

x

2

14

为定值。

，且样本容易为160，

2

2

16



y

2

4

1，设

P、Q分别为曲线C1与曲线C2上的任意一点，求|PQ|的最小值.

2013石家庄质检（二）数学 文【2013石家庄质检一,】

2

2013年石家庄市高中毕业班教学质量检测(二)

高三数学（文科答案）

一、选择题：本大题共12小题，每小题5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．

1-5 ADDBA 6-10 CCCBD 11-12 BD

二、填空题：本大题共4小题，每小题5分，共20分. 13. xy10 15.

9 16．

10

2

3

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． (原则上只给出一种标准答案,其他解法请老师根据评分标准酌情处理) 17.（本小题满分12分）

解：（Ⅰ）f(x)sin2x2cos2

x=sin2x(1+cos2x),

=sin2xcos2x1,………………2分



x



4

)1,……………4分

所以函数的最小正周期为.………………6分

(Ⅱ) f(x

)最小值为1,……………9分

当2x



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