珠海高一期末考试|珠海高一期末试卷

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珠海高一期末试卷

珠海市2013-2014学年度第二学期期末学生学业质量监测

高一数学试题A卷及参考答案和评分标准

一、选择题：本大题共12小题，每小题5分，满分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.请在答题卡上填涂相应选项.

1.程序执行两个语句“S=0，i=1”后，再连续执行两个语句“S=S+i，i=i+2”三次，此时S的值是

A.1 B.3 C.4 D.9

2.某校打算从高一年级800名学生中抽取80名学生进行问卷调查，如果采用系统抽样的方法，则抽样的分段间隔应为

A.20 B.10 C.8 D.5

3.随机抽取某中学甲乙两班各10名同学，测量他们的身高(单位：cm)，获得身高数据的茎叶图如右图.则两个班的样本中位数之和是

A.341 B.341.5 C.340 D. 340.5

4.

A. B. C. D.

5.已知向量 ， ，则

A. B. C. D.(-1，5)

6.已知一组数据：1，2，1，3，3.这组数据的方差是

A.4 B.5 C.0.8 D.

7.同时掷两个骰子，“向上的点数之和大于8”的概率是

A. B. C. D.

8.中国古代数学著作《九章算法》中的“更相减损术”可用来求两个正整数的最大公约数。现应用此法求168与93的最大公约数：记(168，93)为初始状态，则第一步可得(75，93)，第二步得到(75，18)，….以上解法中，不会出现的状态是

A.(57，18) B.(3，18) C.(6，9) D.(3，3)

9.下列函数中，最小正周期为 的是

A. B. C. D.

10. 已知 ，则 的值为

A.1 B. C. D.

11.已知 ， ， ， ，则

A. B. C. D.

12.已知向量 ， ， ，则 的最小值是

A.1 B.0 C.2 D.4

选择题答案：1-6：DBDCAC 7-12：DCBBDA

二、填空题：本大题共8小题，每小题5分，满分40分.请将答案填在答题卡相应位置.

13.将二进制数 化为十进制数，得到 .23

14.已知单位向量 与 所夹的角为60°，则 .3/2

15.某企业有3个分厂生产同一种产品，第一、二、三分厂的产量之比为2：3：5，用分层抽样方法(每个分厂的产品为一层)从3个分厂生产的产品中共抽取100件作样本，则从第二分厂抽取的产品的数量为 .30

16.用秦九韶算法求多项式 当 的值，其中乘法的运算次数与加法的运算次数之和是 .12

17.任取 ，则“ ”的概率是 .2/3

18.化简： =________. -2

19.已知 ， ，则 ________.

20.函数 的最大值为________.

三、解答题:本大题共5小题，每小题10分,满分50分.解答须写出文字说明、证明过程或演算步骤。

21.(本小题满分10分)(统计1)从全校参加期末考试的试卷中，抽取一个样本，考察成绩(均为整数)的分布，将样本分成5组，绘成频率分布直方图，如图所示.图中从左到右各小组的小矩形的高之比为2：3：6：4：1，最右边的一组频数是5.

(1)求样本容量;

(2)求样本90.5～105.5这一组的频数及频率;

(3)如果成绩大于120分为优秀，估计这次考试成绩的优秀率(用百分数表示，精确到1).

解：(1)样本容量=(2+3+6+4+1)×5=80;…(3分)

(2)90.5～105.5这一组的频数=3×5=15，…(6分)频率=15/80= ;…(8分)

(3)样本的优秀率=(4+1)/16×100%≈31%，估计这次考试成绩的优秀率为31%.…(10分)

22. (本小题满分10分)(概率1)某位老师对两个班100名同学进行了是否经常做家务的调查，数据如下表：

班别 经常做家务 不经常做家务 总数

一班 20 32 52

二班 25 23 48

列总数 45 55 100

如果随机地问这两个班中的一名学生，下面事件发生的概率是多少?

(1)经常做家务;

(2)是二班的同学且不经常做家务.

解：(1)这是一个古典概型，因为试验的可能结果是有限的，而且等可能性的：100名同学，随机抽到任何一个同学都有相同的可能性，即基本事件总数为100;…(1分)

记“抽到经常做家务的学生”为事件A，则事件A包含的基本事件数为45;…(3分)

根据古典概型的概率计算公式可得

…(5分)

(2)与(1)相同，随机抽到两个班中任何一名同学都是等可能性的，基本事件总数为100;…(6分)

记“抽到的同学是二班的同学且不经常做家务”为事件B，则事件B包含的基本事件数为23;…(8分)

根据古典概型的概率计算公式可得

…(10分)

23. (本小题满分10分)(三角5)已知函数 的图像经过点 ，当 时， 取得最小值 .

(1)求函数 的解析式;

(2) 的图像经过怎样的平移和伸缩变换，可以得到 的图像?

(1)解： ∵ 的最小值为 ，∴ ， …(1分)

根据题意，有 … ③

∴

由已知 ， 且 在 上单调递增，得： …(3分)

当 时，

∵ ，∴ , ,∴

∴ …(5分)

∴ …(6分)

(2) 解法一：将 的图像上的每个点的横坐标伸长为原来的两倍，纵坐标不变，可以得到 的图像，…(8分)再向右平移 个单位，可以得到 的图象;…(10分)

解法二：将 的图像向右平移 个单位，可以得到 的图像，…(8分)再将图像上每个点的横坐标伸长为原来的两倍，纵坐标不变，可以得到 的图象.…(10分)

24.(本小题满分10分)(平向10)如图，三角形ABC中AB=3，AC=6，∠BAC=60º，D为BC中点，E为中线AD的中点.

(1)试用向量 和 表示 ;

(2)求中线AD的长;

(3)求 与 所成角 的余弦值.

解：(1) ,…(2分)

(2) …(4分)

…(5分)

…(6分)

(3) …(7分)

…(8分)

，…(9分)

…(10分)

25.(变换10)设 ， ， ， .

(1)求 的单调递增区间;

(2)当 时，求 的值域.

解：(1)

…(2分)

(或 )…(3分)

当 时， 的值随自变量增大而增大…(6分)

有

所以 的单调递增区间为

(或 ，区间开闭均可)…(7分)

(2)当 时， ，令 ，

在 上递增，在 上递减，…(8分)

， ， …(9分)

当 时， 的值域为 …(10分)

2015届广东珠海高一下学期期末考试英语卷(解析版)

一、单项填空

1. 难度：中等

___________ you have your computer stolen. You forgot to lock the door when leaving.

A. No excuse B. No surprise C. No matter D. No wonder

2. 难度：中等

The students together with the head teacher _________ visit the Chime Long Paradise.

A. is going to B. are going to C. is to be D. may going to

3. 难度：中等

“Where have you been? We thought that you were lost!” mother said angrily, _________ to Lily.

A. pointing B. to point C. having pointed D. pointed

4. 难度：中等

With the electricity ___________, all the machines stopped.

A. cut off B. was cut off C. cut down D. was cut down

5. 难度：中等

We hope that we can _________ the world ________ wars, killers and everything else that is bad.

A.get rid of; by B.be rid of; by C.rid; of D.get rid; of

6. 难度：中等

Each of the students, working hard at his or her lessons, __________ to go to university.

A. hope B. hopes C. hoping D. to hope

7. 难度：中等

The reason __________ she gave for not finishing the homework is that she was ill.

A. why B. what C. that D. for

8. 难度：中等

___________ she will go or not doesn’t matter much.

A. When B. That C. If D. Whether

9. 难度：中等

I met my old friend ____________ on my way home from school.

A. by chance B. on accident C. by sudden D. on occasion

10. 难度：中等

I’m so busy today that I can’t __________ the house.

A. help cleaning B. help cleaned C. help to clean D. helped clean

二、完型填空

11. 难度：中等

阅读下面的短文，然后从每小题所给的四个选项中选出一个最佳选项，并将答题卡上的相应选项涂黑。

My daughter’s 7th birthday was April 22. As it was Monday, we preferred to celebrate it ___11___, i.e. on Saturday, April 20. This was easier for me as I’m ___12___ on Saturdays. On Friday the entire family was busy packing the ___13___ and putting funny pins on them. I promised my little princess that I would wake her up early in the morning and give out the presents to her ___14___.

I woke up at 07:30. After I took a bath, I planned to wake her up. But as I came out from the ___15___, I realized that an earthquake struck. I ___16___ to wake my husband up and asked him to carry our daughter and ran out of our house. We were ___17___ our house moving from side to side from outside. It lasted for just 3 minutes, but tiles(瓦片) came down, and some narrow gaps appeared on the ___18___.

Nevertheless, as we had planned, I went to my daughter’s school at 9:00, but no one was there except the teacher who ___19___ us to get back to our house as ___20___ might come soon. I was shocked, and drove my car home. On the way home I heard a police cry out loud, “Stay ___21___, no tsunami, it’s only issue!”

Arriving at my house, I was wondering about the presents: to whom we should ___22___? After some discussion, we decided to give them to the children in ___23___. Entering the hospital, I was shocked to find thousands of people bleeding and lying outside the rooms. A boy came up with a ___24___ on his head. He stared at me with his questioning eyes as if he wanted to say, “Could I have one?” ___25___ I handed over one present to him. I can’t ever forget his shining eyes when he received the gift!

1.A.earlier B.later C.better D.quicker

2.A.busy B.free C.sick D.slow

3.A.presents B.bricks C.bags D.medicine

4.A.teachers B.patients C.classmates D.doctors

5.A.house B.bedroom C.hospital D.bathroom

6.A.decided B.promised C.screamed D.stared

7.A.watching B.leaving C.entering D.striking

8.A.ceiling B.car C.window D.wall

9.A.drove B.warned C.taught D.preferred

10.A.earthquake B.tsunami C.police D.students

11.A.busy B.awake C.alarmed D.calm

12.A.move B.deliver C.drive D.pack

13.A.hospital B.school C.car D.office

14.A.present B.tile C.bandage D.question

15.A.Unwillingly B.Quickly C.Easily D.Sadly

三、填空题

12. 难度：困难

How do you usually buy what you need, shopping on line or going out to shop in person? With the help of the Internet, shopping is ___1.___(easy) than before. We can just click our mouse to choose the items we like, pay for them online, and the shopping ___2.___(finish). It is easy and quick. It helps save money, too. We can save thousands a year if we compare the prices of similar items before deciding ___3.___ to buy.

However, there are always traps in shopping online. If we are ___4.___(care), we may get into trouble. For example, we may find the color of the item different from ___5.___ in the picture online. Sometimes, the size of the item we receive can be too big ___6.___ too small. ___7.___(avoid) such troubles, we should compare similar items on different online stores and pay more attention to what other customers say. From their comments, we can know better ___8.___ an item’s color, size as well as ___9.___ shortcomings. In this way we increase our chance of buying ___10.___ more satisfactory item.

四、阅读理解

13. 难度：中等

What’s delicious, healthy to eat and comes in various colors? Eggplant! And no, it has nothing to do with chickens! This strangely named vegetable is, however, as versatile as an egg. It can be steamed, fried or baked. It can be eaten by itself or combined with meats and other vegetables.

Eggplant was first grown in India during the 5th century B.C. Its popularity soon spread to China and then throughout Asia. Finally, during the Middle Ages the vegetable made its way to Europe. At that time, eggplant was not the shiny purple vegetable most people know today. Instead, it was like a white egg. Due to this egg-like appearance, eggplant got its name. In its early days, the vegetable was so bitter that people often called it a “mad apple”. This nickname started because people believed its bitterness was bad for one’s health. People actually thought eggplant could cause insanity(精神错乱) and cancer.

Fortunately, today people know that eggplant doesn’t cause insanity or cancer. In fact, eggplant is so healthy that it may prevent cancer. In addition, the brain and the heart benefit from this supper vegetable. Since it is high in fiber, eggplant can also improve digestion.

Italy, Turkey, Egypt, China and Japan are the leading growers of eggplant in the world today. Depending on its location, eggplant may be purple, green, orange or yellow-white. And it can be as small as a tomato or as large as a cucumber. Dish diversities(多样性) range from simple to complex, with all of them being delicious!

Today, thousands of people are gathering in Loomis, Calif, for the 23rd annual Loomis Eggplant Festival. The main activity at the festival is eating delicious eggplant dishes. There is plenty more to do and see, though. Recipe contests, arts and crafts, performers, races and children’s activities all “egg-cite” festival-goers. Most people at the festival would agree — eggplant is an “egg-cellent” vegetable!

1.What does the underlined word “versatile” in Paragraph 1 probably mean?

A. simple in shape B. various in cooking

C. diverse in size D. flexible in price

2.Which of the following statements about eggplants is TRUE?

A. Eggplant was once misunderstood by the people for its bitterness.

B. Eggplant was introduced into Europe during the 5th century B.C.

C. Eggplant got its name for its nutrition which is as rich as an egg.

D. Eggplant looks like what it used to be in color and shape.

3.Eggplant is so healthy that it can _____________.

A. cure the cancer with certainty B. do good to digestion

C. replace other vegetables D. help relieve insanity

4.The diversities of eggplant reflect in many aspects EXCEPT _____________.

A. colors B. sizes C. dishes D. nutrition

5.The passage mainly tells us about __________________.

A. the 23rd annual Loomis Eggplant Festival

B. the general introduction of eggplant

C. the origin of eggplant

D. the benefits of eggplant

14. 难度：中等

College is a lifetime investment (投资) — the gift of a college education can open the door to a world of opportunity for your child or grandchild. Savings(储蓄), even not so many at a time, can make a big difference.

With the cost of a college education continuing to rise, the key is to start saving early and regularly. By saving a set amount at set times, your money can grow as your child does. According to the College Board, the average cost for four-year public colleges has increased by nearly 51% over the last 10 years and these costs will almost certainly continue to rise. Saving for college can help with the increasing cost of a college education and help you be well prepared when your child is ready for college.

Saving for your child’s college education is an investment in their future. The savings you make today will pay off in increased earnings in the future. According to the U.S. Census Bureau, college graduates earn an average of $1 million more than high school graduates during their careers. The value of your investment in a college education will continue to grow for a lifetime.

Set your college saving goals realistically. You may not be able to save enough for all four years’ fees, but you could save enough to give your child the right start.

More and more families depend on student loans(贷款) to pay for college. By saving for college, families will have less burden of paying off loans and help their children leave school without worrying about paying off loans.

1.From the second paragraph we can learn that_______________.

A. the College Board increased public college costs

B. public college costs will increase by 51% in the next ten years

C. it’s not too late to start saving when your child is ready for college

D. saving can help deal with the rising cost of college education

2.Savings for college education _____________.

A. will increase in the value in the future B. make one earn a lot

C. help create good jobs D. are wise for businessmen to invest

3.Which of the following is TRUE about saving for college?

A. You should save to help children get scholarships more easily.

B. It’s better to increase the savings as the child grows.

C. It’s better to save early and regularly.

D. You should set a further and bigger saving goal.

4.Who are the expected readers of the passage?

A. Parents. B. High school students. C. Educators D. Bankers.

5.Which of the following would be the best title for the passage?

A. When to Save for Children’s College Costs

B. How to Make a Good Investment

C. Why We Should Save for Children’s College Costs

D. How Much Four-Year College Costs

15. 难度：中等

There are quite a few advantages of wearing school uniforms. The idea may seem disagreeable at first, but considering all the positive effective coming from wearing uniforms you would be more likely to enjoy them.

Teachers love school uniforms because it helps provide an orderly learning environment. Having students dressed in uniforms may teach them how to present themselves in a neat(整洁的)and professional manner. It gives students the opportunity to learn how to dress like young ladies and gentleman. And they can focus their attention on academics rather than style.

Purchasing school uniforms is easy and needs less hesitation(犹豫) and consideration. No matter what the school’ s policy is, there are only specific essential(基本的) pieces to the wardrobe(服装) that are necessary, so it won’t break the bank. A few wardrobe items can last a long time. Parents could also enjoy an easy morning, as it will take less time to choose a set of clothes for the school day.

Students wearing uniforms will feel less pressure about what to wear or not to wear when their classmates are dressed similarly. Getting dressed before school becomes less of a chore when students are limited in their choices, so there shouldn’t be any trouble about choosing an outfit for the day and getting ready quickly. Some students may not like the lack of individuality(个性) with a uniform, but some school dress code policies may offer them the opportunities to show their unique styles.

Uniforms today are also becoming trendier and can be seen in many areas of pop culture. Celebrities and fashion designers are using uniforms as inspiration for new looks which also appeal to students.

1.What would be the best title for the text?

A. How to dress properly.

B. The history of school uniforms.

C. The advantages of school uniforms.

D. How to deal with pressure in school.

2.Teachers think that wearing school uniforms ________________.

A. is just a tradition that students should follow

B. makes students feel less pressure in study

C. helps students put more effort into their studies

D. makes students lose their independence and identity

3.The underlined part “it won’t break the bank” in Paragraph 3 probably means “___________”.

A. a school uniform doesn’t cost a lot of money

B. a school uniform should be worn every day

C. parents will have to go to the bank many times

D. parents who work in a bank can afford the uniform

4.We can infer from the text that school uniforms _________.

A. are not popular with fashion designers

B. were not accepted by parents in the past

C. will be designed by students themselves

D. will be more fashionable in the future

5.The author’s attitude towards students’ wearing school uniforms is ___________.

A. negative B. supportive C. doubtful D. unclear

五、信息匹配

16. 难度：困难

请阅读下面几种假日集训班的信息：

A. You’ll spend half of each day learning different types of dance. The teachers will give you lots of tips and advice as well as help you find your own dance style to impress your friends.

B. This course is for those who are interested in making films. You and your group will be able to choose what type of film to make. You’ll become a film crew(全体人员) and create your own film ready to show to everyone else. What’s more, you’ll have your film on DVD to take home with you, too!

C. Football players at this club will experience fun and dynamic training, which aims to improve their all-round football skills. It doesn’t matter how good you are as we will normally try and put you in a group with others of a similar level.

D. Our Learner Driver holiday means that when it comes to having lessons and taking your test, you will be well ahead of the crowd. You’ll experience 30 minutes of driving each day as will as theory.

E. Our coaches will make sure you cover all the surfing basics (基础). Before you know it you’ll be getting up and riding. We promise you’ll never forget the feeling you get when you catch your first wave!

F. We will show you how to create music of different styles and then record your own professional quality tracks (录音) on CDs to take home for your friends and listen to. You don’t even need to be able to play an instrument or have any musical knowledge to get involved.

请阅读下面人物信息，并为他们选择合适的项目：

1.Mary lives far away from her office, and it takes her long time to get there every day. Recently, she has been thinking about buying a car, but she wants to get training before she buys it.

2.Laura loves music very much. She often says that she cannot be separated from her iPod. Although she doesn’t know how to play an instrument, she wants to create her own music.

3.Louis is a middle school student; he likes to spend his spare time on the playground. He used to watch others play football because he is not very good at it. He wants to attend a training course to improve his skills.

4.Wang Ling is a college student who likes to dance. She wants to take part in a party next week, so she wants to learn some new moves to try out on the dance floor.

5.Star is a freshman. He is an English Major, but he likes photography very much. He and his roommates often go out to take photos. They plan to go on an outing during the summer holiday to make their own film.

六、单词拼写

17. 难度：困难

根据句中所需单词的首写字母或中文提示，写出该单词的正确形式，并将答案写在答题卡相应题号后面的横线上。

1.In order to stay s_________, she eats very little every day.

2.It was really u________ that he fell off the truck without being hurt.

3.Your brother is full of h________; he had us laughing all through the meal.

4.A cinema is a place of e________.

5.The birth r________ is the number of births compared to the number of people.

6.Many people went to America hoping to make a _______ (财富) there.

7.The more _______ (有学问的) a man is, the more modest he usually is.

8.The a______ stayed up, but the kids went to bed.

9.Many people find it difficult to accept her______ (先进的) idea.

10.You can buy many ______ (纪念品) in every place of interest.

七、其他题

18. 难度：困难

完成句子：(共5小题，10个空，每空1分，满分10分)

1.When the war ______ ______ (爆发), he was working in the navy.

2.I can’t ______ ______(想出)why she said that.

3.______ ______he is free will he come to see me.

4.______ ______ a good teacher, John made great progress in his English study last term.

5.If I have a choice I would ______ ______ choose something else.

八、书面表达

19. 难度：困难

写作内容：

假如你是李华，在美国留学。你母亲今天下午要从国内来看你，但你凑巧要去做个讲座，故给你的朋友Peter留下字条请他下午三点半去机场接你母亲。因Peter未见过你母亲，请根据下表在字条中描述你母亲的特征以便他辨认。

age

around sixty

appearance

fat, short, gray hair, a long face

clothes

a white blouse, brown trousers

luggage

a yellow suitcase

写作要求：

1.必须使用5个句子介绍全部所给内容;

2.词数：100词左右。开头和结尾已经给出，不计入总词数。

评分标准：

句子结构的准确性和复杂度;信息内容的完整性和连贯性。

Sunday

Peter,

I am very glad that my mother is coming this afternoon by air.

I will be grateful to you for your help.

Yours,

一年级数学上册期末试卷分析
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