山东省郯城三中08―09学年度上学期高三期末测试卷
数学试题(理)
一.选择题(125=60)
1. 设全集是
则 ( )
A. B. (2,4) C. D.
2. 函数在区间()上是减函数,那么实数的取值范围是
( )
A. B. ( C. D. ()
3. 已知不等式的解集是,则不等式的解集是
( )
A. (2,3) B. (
C. () D. (
4. 关于函数下列三个结论正确的是 ( )
(1) 的值域为R;
(2) 是R上的增函数;
(3) 成立.
A. (1)(2)(3) B. (1)(3) C. (1)(2) D. (2)(3)
5. 若数列满足,以下命题正确的是 ( )
(1) 是等比数列; (2) 是等比数列;
(3) 是等差数列; (4) 是等差数列;
A. (1)(3) B. (3)(4) C. (1)(2)(3)(4) D.(2)(3)(4)
6. 已知 ( )
A. B. C. 0 D. --
7. 设为钝角, ( )
A. B. C. D. 或
8. 已知函数的最小正周期为,则该函数图象 ( )
A. 关于点对称; B. 关于直线对称;
C. 关于点对称; D. 关于直线对称;
9. 已知向量夹角为, ( )
A. B. C. D.
10. 不等式组的解集为 ( )
A. B. C. D. (2,4)
11. 已知点A(2,3),B(--3,--2).若直线过点P(1,1)且与线段AB相交,则直线的斜率
的取值范围是 ( )
A. B. C. 或 D.
12. 设分别是双曲线的左右焦点。若点P在双曲线上,且则 ( )
A. B. C. D.
二. 填空题(44=16).
13. 光线由点P(2,3)射到直线上,反射后过点Q(1,1),则反射光线方程为
.
14. 实数满足不等式组则的范围 .
15. 若曲线与直线没有公共点,则的取值范围是 .
16. P是双曲线的右支上一动点,F是双曲线的右焦点,已知A(3,1),则
的最小值是 .
三. 解答题(共74分).
17. (12分) 已知函数它的反函数图象过点(--1,2).
(1) 求函数的表达式;
(2) 设解关于的不等式:.
18. (12分) 已知函数
(1) 求函数的定义域和值域;
(2) 求函数的单调递增区间.
19. (12分) 在中,
(1) 求角C的大小;
(2) 若最大边长为,求最小边长.
20. (12分)已知直线过点M(2,1),且分别与正半轴交于A,B两点.O为原点.
(1) 当面积最小时,求直线的方程;
(2) 当值最小时, 求直线的方程.
21. (12分)已知数列是等差数列, ;数列的前n项和是,且.
(Ⅰ) 求数列的通项公式;
(Ⅱ) 求证:数列是等比数列;
(Ⅲ) 记,求的前n项和
22.(14分)已知椭圆的一个顶点为A(0,-1),焦点在x轴上.若右焦点到直线 的距离为3.
(1)求椭圆的方程;
(2)设椭圆与直线相交于不同的两点M、N.当时,求m的取值范围.
山东省郯城三中08―09学年度上学期高三期末测试卷
英语试题
本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。考试时间为120分钟。
第Ⅰ卷(三部分,共105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)
1. What is the woman doing?
A. Buying some furniture.
B. Booking the table.
C. Window----shopping.
2. What will the woman do?
A. Make plans on the computer.
B. Learn maths on the computer.
C. Practice using a program on the computer.
3. How long would it take Tom to get there?
A. 30 minutes.
B An hour.
C. An hour and a half.
4. What is Tom’s plan?
A.
To visit
B To earn a lot of money.
C. To finish his degree.
5. Why doesn’t the woman buy the coat?
A. It is too big.
B. It is too tight.
C. She doesn’t like the color.
第二节(共15小题;每题1.5分,满分22.5分)
请听下面5段对话或独白,选出最佳选项
第6,7,8 小题基于下面一段对话
6. What is the woman not sure about the sports shoes?
A. The style. B. The color. C. The size.
7. Why did the woman first say the man couldn’t help her?
A. Her son is taller than any other boy of his age.
B. She thinks that her son doesn’t like the corlor of the shoes.
C. She thinks the shoes are cheap so her son won’t want them.
8. What can you learn from the conversation?
A. The shoes are very expensive.
B. The shop assistant is very helpful.
C. The woman wastes a lot of money.
第9,10,11小题基于下面一段对话
9, How does the man’ doctor suggest him do?
A. Great. B. Boring . C. Tiring.
10. Where did the man stay most of the time on vacation?
A. In his grandparents’ house.
B. In his cousin’ s apartment.
C. In his parents’ house.
11. How long do you think the man stayed in
the
A. Two or three days.
B. Four days.
C. At least five days.
第12,13,14小题基于下面一段对话
12. What did the man’s doctor suggest him do?
A. Take more exercise.
B. Join a club.
C. Take more rest.
13. What does the woman find about going to health club?
A. Tired B. Useless C. Useful
14. What should the man do according to the woman?
A. Work out first.
B .Take a swim before exercising.
C. Come to the club with her.
第15,16,17 小题基于下面一段对话
15. What is the man’s problem?
A. He drinks too much Coke
B. He can’ t stop taking drugs.
C. He has got a series disease.
16. What doe the woman suggest that the man do at last?
A. Try to cut down
B. See a doctor after work
C. Find a place together to get help
17. What is the relationship between the two speakers?
A. Classmates
B. Good friends
C. Doctor and patient
第18, 19, 20 小题基于下面一段独白
18. How do people in the city get their vegetables?
A. They get their vegetables from their gardens.
B. They buy vegetables from the market.
C. Others supply them with vegetables.
19. What did these gardens use to be?
A. Fields B. Parking places C. Rivers
20. Why are children healthier now than they used to be according to the speaker?
A. They don’t often go out but stay at home most of the time.
B. They can use central heating in the house in winter.
C. They play outside more often and watch TV only for a short time each day.
第二部分 英语知识运用(共两节,满分45分)
第一节 单项填空(共15小题;每小题1分,满分15分)
从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. I don' t know whether this is _________ part that she played in Hero, __________ very famous film in our country.
A. a; a B. the; a C. a; the D. the; the
22. ________ much progress you can make in all your subjects in the future, you should keep modest.
A. However B. Whatever C. What D. How
23. I really don' t know for certain _________ they discussed this important problem very
secretly.
A. where was it that B. where it was that
C. where that D. it was where that
24. What made me sad was that I went to see her the day before yesterday _________ her dead on her bed.
A. to find B. finding C. found D. find
25. Her money___________ , the lazy middle-aged woman began to steal others' money at crowded places, such as bus stops, stations, airports and ports.
A. had run out B. running out
C. having been run out D. having run out
26. -- Will they go for an outing today?
-- They________, because it seems that the weather is not so fine.
A. mustn't B. can't C. needn't D. may not
27. The news ___________ Shenzhou-7 spaceship safely returned from space on September 28th, 2008 excited all the Chinese people.
A. which B. that C. / D. what
28. Thinking that her baby was fast asleep, the young mother left the room, _________ .
A. quickly and gentle B. quickly and gently
C. quick and gentle D. quick and gently
29. _________, he is still as modest as before, which always moves all the people who know him.
A. As he is a scientist B. A scientist as he is
C. Scientist as he is D. As is he a scientist
30. I thought that the patient could not live through that night, but he survived ___________.
A. at all B. after all C. above all D. in turn
31. There are altogether fifty-four students in our class, _________ is a new comer from a faraway mountain village.
A. the most diligent of who B. but the most diligent of whom
C. the most diligent of them D. of whom the most diligent
32. __________ in the story book that he had bought not long before, the boy didn't notice his mother go into his room.
A. Losing B. Lost C. Having lost D. To be lost
33. You must do your homework now; you __________ computer games all the evening.
A. have been playing B. play
C. are playing D. played
34. -- What a beautiful skirt you are dressed in today! Where did you buy it?
-- ___________ ; I bought it in Beijing.
A. Not beautiful at all B. Don't mention it
C. It is very kind of you to say so D. You're welcome
35. I collected _________ he did for the Hope Project the day before yesterday.
A. three times as many money as B. three times much money than
C. three times more money than D. three times many more money
第二节 完形填空(共20小题;每小题1.5分,满分30分)
阅读下面短文,掌握其大意,然后从36―55各题所给的四个选项(A、B、C、D)中,选出最佳选项,并在答题卡上将该项涂黑。
Seven loyal readers came to the Teens' office two weeks ago. They had a wonderful day learning how to make a newspaper. But what 36 made them excited was that they had their say.
"What most 37 me was when I was saying something, I found all eyes were on me," said Tang Shining, one of the students. Her friend, Li Chunbei 38 , and felt very glad that when she was talking, the editors nodded and 39 took notes.
Students are happy to see the editors listen to their 40 . You may often 41 about being neglected by teachers and parents. 42 before complaining, please make sure that you have already spoken about your 43 .
Traditionally in China, teachers at school and parents were 44 the ones to tell teenagers what they should and shouldn't do. The young are 45 to doing what they are told, rather than thinking by themselves. But then their ideas would be locked in their brain and not be 46 .
A girl wrote to Teens about her family story. She 47 to be very sad because her father seldom talked and played with her. After years of consideration, she 48 decided to write her father a letter, telling him about her sadness. To her 49 , the father 50 , saying that he didn't realize his mistake. From then on, he really 51 .
Sometimes, we need to let our 52 be heard, so others can understand our thoughts and feelings.
Don' t be afraid of being 53 for what you have done. You know it is your 54 to speak your mind. Even if your suggestions are denied, at least you have tried your best. You will not be left with any 55 .
36. A. really B. directly C. completely D. immediately
37. A. disappointed B. impressed C. frightened D. horrified
38. A. refused B. disagreed C. agreed D. disliked
39. A. still B. yet C. already D. even
40. A. opinions B. speeches C. songs D. articles
41. A. talk B. complain C. write D. speak
42. A. And B. So C. But D. Instead
43. A. pleasure B. love C. hatred D. worry
44. A. seldom B. never C. always D. sometimes
45. A. used B. reduced C. devoted D. told
46. A. remembered B. used C. touched D. heard
47. A. used B. pretended C. seemed D. had
48. A. sadly B. suddenly C. angrily D. finally
49. A. sorrow B. disappointment C. surprise D. satisfaction
50. A. apologized B. smiled C. laughed D. sighed
51. A. exchanged B. changed C. left D. played
52. A. voices B. decisions C. suggestions D. secrets
53. A. punished B. blamed C. beaten D. fined
54. A. duty B. task C. right D. pleasure
55. A. regret B. sadness C. trouble D. difficulty
第三部分 阅读理解(共20小题;每小题2分,满分40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
Most students hate their endless homework. The students from Class 2, Senior 2 of the High School Affiliated to Peking University certainly did before they published their own collection of English novels at home.
Their small book contains stories about a holy (神圣的) war, the happy life of a self-taught artist and the story of a laid-off worker who devoted his last breath to playing his beloved accordion (手风琴). The book becomes an instant hit on campus. About 3,000 copies have been sold and the class is already working on the second volume.
"We're up to our ears in homework. Exercises and exams make us out of breath. But to do something creative and full of imagination is such a great achievement," said Yu Xiaoxiao, 16.
"I took the writing as an ordinary homework at the beginning, but after I finished the first part of my story, I could not help but let it flow," said Wang An, who wrote "Accordion".
Inspired by "Lord of the Rings", Jiang Lu wrote his story about magic wars between angels from the light and the dark side. "The main message of the story was to look at the balance of the world. Both dark and light angels fight with love as their weapons. I want to tell people that selfish love might bring hate," Jiang said.
"I was shocked by their work and felt so proud to be the editor of my students' book," said Nathaniel Timmermann, the oral English teacher at the school. Liu Xiuqin, an English teacher, started the project by asking students to write whatever was in their mind every week. "They have performed beyond expectation," Liu said. "They wrote interesting stories and their English has improved after they started to express their real minds."
"We never imagined that our homework would be so popular and profitable (盈利的). We sell the novels at five yuan, but many teachers pay more to encourage us," said Yuan Mengyao.
56. After Wang An finished the first part
A. couldn't go on
B. had to put it aside
C. just wanted to express it freely
D. lost it
57. What was not the outcome of the students' homework of writing whatever was in their mind?
A. Being popular.
B. Being profitable.
C. Improving their English.
D. Winning prize.
58. What is the reason for the students' liking to write interesting stories?
A. It is creative and imaginative.
B. It is profitable.
C. Interesting stories are sure to be popular.
D. Interesting stories can be well sold.
59. What is the best title of this passage?
A. Creative homework leads to a popular book
B. Writing interesting stories
C. Students' new book
D. A popular book
B
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60. What are these ads for?
A. Food you can order for delivery.
B. Places to go on vacation.
C. Special offers at a shopping center.
D. Things on sale in a big store.
61. Which of the following is true according to the ads?
A. Spending $ 50 means 3 hours of free parking.
B. One person can buy 4 tickets for the price of' $ 2.
C. After buying two CDs, you can get another two CDs for free.
D. At Mike' s Cafe, people can get a free soft drink after spending $ 6.
62. We can know from the passage ____________.
A. there are more than one theatre in the centre
B. if you buy a book there, you may pay less than half the price
C. you may get a free one if you buy a shirt, or a tie, or a pair of shoes
D. you won' t get a free soft drink unless you spend more than 10 dollars on the meal
C
The plastic identification ( ID, 身份证) cards carded by all Chinese citizens over 16 are to be replaced with electronic cards from 2005.
The new cards, which most people will have by 2005, contain a microchip (微芯片) on which personal information is stored. This can be checked against databases (资料库) kept by the government.
"The information will be locked into the card so that people won' t be able to use false identities," said Ren Tianbu, a security (安全) official in Shenyang.
China's present plastic identity cards were introduced 17 years ago, and a similar system is used by many other countries. However, the information shown on a card differs from nation to nation. Most ID cards show the holder' s name, sex, date of birth and photograph, as well as the card' s expiry (失效) date and number.
Germany, France and Spain all use ID cards, but there are some developed nations who dislike the idea. The US, Canada, New Zealand, Australia, Sweden and Britain are among those with no national ID card. However, some of the countries have ID cards for particular uses. For example, Australia and the United States use a driving licence (驾照) to identify people.
Identity cards are introduced for a variety of reasons. Race, politics and religion were often at the heart of older ID systems. In recent years, though, ID cards have been linked to national information databases, which form the basis of how a government manages a country.
The US, Britain and some other countries are considering a national ID system as a way of preventing possible terrorist attacks.
However, such plans have been .met with fierce (猛烈的) resistance by those who believe identity cards work against human rights and individual privacy (个人隐私) .
"ID cards make us suspects (可疑人员), not citizens," said UK human rights group Liberty.
63. Which of the following is NOT true according to the article?
A. Only those Chinese citizens over 16 can have an ID card.
B. The former Chinese ID card was plastic and the new one will be an electronic one.
C. The new Chinese ID card will be used by 2005.
D. The new Chinese ID card was introduced 17 years ago.
64. The information shown on an ID card of different countries ________.
A. is similar
B. is the same
C. has nothing in common
D. has something in common and something different
65. _________ use a driving licence to identify people.
A. Australia and the United States
B. Canada and the United States
C. Australia and New Zealand
D. Sweden and Britain
66. What is the best title of the article?
A. An ID card, a good way to identify terrorists
B. An ID card, a useful way to identify people
C. An ID card can be used to show how a government manages a country
D. New cards will keep your details safe
D
In a few years, you might be able to speak Chinese, Korean, Japanese, French, and English -- and all at the same time. This sounds incredible, but Alex Waibel, a computer science professor at US' s Carnegie Mellon University (CMU) and Germany' s University of Karlsruhe, announced last week that it may soon be reality. He and his team have invented software and hardware that could make it far easier for people who speak different languages to understand each other.
One application, called Lecture Translation, can easily translate a speech from one language into another. Current translation technologies typically limit speakers to certain topics or a limited vocabulary. Users also have to be trained how to use the programme.
Another prototype (雏形机) can send translations of a speech to different listeners depending on what language they speak. "It is like having a simultaneous translator right next to you but without disturbing the person next to you," Waibel said.
Prefer to read? So-called Translation Glasses transcribe (转录) the translations on a tiny liquid-crystal(液晶) display (LCD) screen.
Then there' s the Muscle Translator. Electrodes (电极) capture the electrical signals from facial muscle movements made naturally when a person is mouthing words. The signals are then translated into speech. The electrodes could be replaced with wireless chips implanted (植入) in a person' s face, according to researchers.
During a demonstration (演示) held last Thursday in CMU' s Pittsburgh campus, a Chinese student named Stan Jou had 11 tiny electrodes attached to the muscles of his cheeks, neck and throat. Then he mouthed -- without speaking aloud -- a few words in Mandarin(普通话) to the audience. A few seconds later, the phrase was displayed on a computer screen and spoken out by the computer in English and Spanish: "Let me introduce our new prototype".
This particular gadget (器械), when fully developed, might allow anyone to speak in any number of languages or, as Waibel put it, "to switch your mouth to a foreign language". "The idea behind the university' s prototypes is to create 'good enough' bridges for cross-cultural exchanges that are becoming more common in the world," Waibel said.
With spontaneous (自发的) translators, foreign drivers in Germany could listen to traffic warnings on the radio, tourists in China could read all the signs and talk with local people, and leaders of different countries could have secret talks without any interpreters there.
67. What does the underlined word "simultaneous" mean in the third paragraph?
A. 同时的 B. 高效的 C. 昂贵的 D. 多功能的
68. What kind of prototype did the Chinese student named Stan Jou try?
A. Lecture Translation.
B. Translation Glasses.
C. Muscle Translator.
D. We don' t know.
69. What is the purpose of inventing the translators?
A. To help students to learn English.
B. To help people to watch foreign TV programs.
C. To help people travel in foreign countries.
D. To promote cultural exchanges between countries.
70. What is the best title of this text?
A. Speak different languages at the same time?
B. Flow to learn to speak foreign languages?
C. New ways to learn foreign languages
D. You' re welcome to learn foreign languages
E
Venus is known as the Earth’
“twin” because the planets are so like each other in size. The diameter (直径) of Venus is
about 7,520 miles (
As seen from the earth, Venus is the first planet or star that can be seen in the western sky in the evening. At other times, it is the last planet or star that can be seen in the eastern sky in the morning. When Venus is near its brightest point, it can be seen in the daylight. Early astronomers called the object that appeared in the evening Hesperus, and Phosphorus in the morning. Later they realized these two objects were the same planet. They named it Venus in honor of the Roman goddess of love and beauty.
71. Traveling around Venus in a straight way, you would have a long trip of about
_______ miles.
A. 24,896 B. 23,613 B. 37,994 D. 25,000,000
72. Which of the following is NOT a fact about Venus?
A. It’s
the nearest neighboring planet of the earth.
B. It used to be called Phosphorus and Hesperus.
C. It’s usually 25,000,000 miles away from the earth.
D. It can sometimes be seen together with the sun in the sky.
73. Venus is called the earth’s “twin” because ________.
A. it’s almost as big as the earth
B. it’s the nearest to the earth
C. they are both planets
D. they are of the same shape
74. The passage shows that _______.
A. Venus is always the last to appear in the sky in the evening
B. Venus is sometimes the last to appear in the sky in the morning.
C. The diameter of the earth is nearly eight thousand miles.
D. Venus is sometimes the last to disappear in the western sky in the morning.
75. The best title for the passage might be ________.
A. The Size of Venus
B. Venus and the Earth
C. Venus---the Earth’s “twin”
D. The Nearest Neighbor
第II卷(共45分)
第四部分:书面表达(共两节,满分45分)
第一节 阅读表达(共5小题;每小题3分,满分15分)
阅读下面的短文,并根据文章后的要求答题。(请注意问题后的词数要求)
As the college entrance exam draws near, many Senior 3 students begin to feel worried. . Your score won’t have the final say in your future career, according to a recent survey.
China’s first report that is about lives of the top students getting the highest score on past national college entrance exams came out last Monday. It finds that not all of them have become winners in college and career.
“Most of the successful career men weren’t the best of their classes,” said the report. “However, the most important thing is that they should have creativity and the courage for exploration.”
The National College Entrance Exam was first held in 1977. Thirty years later, the report is expected to help Senior 3 students to decide on their university choices rationally (理性地). A group of experts spent eight months covering every part of China except Tibet, Hong Kong, Macao and Taiwan and researching into the lives of the top students.
They found that among all the 560 top scorers from 1999 ? 2006, girls are leading boys with a narrow majority, accounting for about 50.27 percent. They have a bigger majority in the number of art majors, at 63 percent. But among those science majors, boys take the lead with 64.78 percent.
However, experts are worried by the fact that the majors the top scorers chose are very limited. Four out of five top students went to popular majors, like economic management and computer science. But other majors closely related to social development, like medicine and astronomy, failed to attract any of the very best.
“Most of the students’ choices were based on a desire for fame and wealth, instead of their interest in the subject. That would slim their chances for career success, as well as undermine (破坏) the hopes of our country,” said Cai Yanhou, a professor with Central South University.
76.What is the best title of the passage? (within 10 words)
___________________________________________________________________
77.Which sentence in the passage is the closest in meaning to the following one?
The majority of the students chose their major according to whether it could help them get a higher social status, regardless of whether they loved it or not.
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78.Fill in the blank in the first paragraph with a proper sentence.
(within10 words)
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79. What advice is implied on how to choose one’s major in college in the last two
paragraphs? (within 20 words)
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80.Translate the underlined sentence in the fifth paragraph into Chinese.
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第二节 书面表达 (满分30分)
人们完成工作的方式通常有两种:独立完成与合作完成。两种方式各有特点。请你以“working Individually or Working in a Team “为题,按照以下要点写一篇英语短文:
1.独立完成:自行安排、自己解决问题
2.合作完成:一起讨论、相互学习
3.我喜欢的方式及理由
注意:词数100-120,文章的题目和开头已给出(不计词数)。
Working Individually or Working in a Team
There are basically two ways to get work done.
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