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台州市2009年高三年级第一次调考试题
数 学（文科）
命题:梅红卫（台州一中） 应福贵（仙居中学）
审题：王建华（黄岩中学）
注意事项：
1． 本卷共4页，三大题，22小题，满分150分，考试时间120分钟；
2． 用蓝、黑色水笔或圆珠笔书写答案，考试结束只需将答案纸交回.
参考公式：
球的表面积公式 
棱柱的体积公式V=Sh
球的体积公式 
其中S表示棱柱的底面积，h表示棱柱的高
其中R表示球的半径
棱台的体积公式
棱锥的体积公式 V=
Sh 其中S1,
S2分别表示棱台的上底、下底面积，
h表示棱台的高
其中S表示棱锥的底面积，h表示棱锥的高 如果事件A，B互斥，那么
2009高三英语模拟试题单项填空错题集
1. ______ of the truth of the reports, he told his colleagues about it.
A. Convincing B. Convinced C. To convince D. Having convinced
2. Thank you for the great difficulty you have had ______ me with my designing work.
A. helping B. to help C. with helping D. to have helped
3. ______ to the sunlight for long will do harm to your skin.
A. Exposed B. Being exposed C. Having been exposed D. Exposing
4. ______ every day, our web provides readers with latest news.
A. To update B. Update C. Updating D. Updated
5. ______ by the rising price of gas, many car owners use their cars less frequently.
A. Driven B. Being driven C. To drive D. Having driven
6. A hurricane swept through my village. Just as we were beginning to lose hope, it suddenly stopped. It is really “______”.
A. All’s well that ends well B. Lightening never strikes twice in the same place
C. It never rains but it pours D. A friend in need is a friend indeed
7. The boss ______ department Ms Li worked ten years ago looks down upon women.
A. in which B. in that C. in whose D. whose
8. The great moment came in the early 1930s ______ famous writers translated both novels and poetry into Chinese.
A. while B. as C. when D. that
9. Please tell me how the accident ______. I am still in the dark.
A. came by B. came upon C. came to D. came about
10. Your account about the event doesn’t ______ what the police have found out.
A. consistent with B. connect with C. correspond to D. relate to
11. ______ by the moving scene, the young man determined to ______ his ways and be good.
A. Being touched; repair B. Touched; mend
C. Having been touched; find D. To be touched; fix
12. The bird flu ______ through
A. sweeps; killed B. swept; killing
C. sweeping; to kill D. sweeping; killing
13. ―It’s so late. Our son ______ be back!
―Don’t worry. I dare say he ______ have some extra work to do.
A. can; must B. will; might C. should; must D. must; may
14. ―Are you going to take the job?
―Certainly, though the salary is not so good. ______, you know.
A. A bird in hand is worth two in the bush
B. A golden key can open any door
C. Actions speak louder than words
D. Better late than never
15. In the past few years, the fast food restaurant has improved the cooking skills and ______ different customers’ popular demands.
A. applied to B. catered to C. contributed to D. turned to
16. We wanted to get home before dark, but it didn’t quite ______ as planned.
A. make out B. turn out C. go on D. come up
17. Seeing the happy ______ of children playing in the park, I’m full of joy and confidence in the future of our country.
A. sight B. scene C. view D. sign
18. Understanding the cultural habits of
another country, especially ______ containing many different subcultures like
the
A. which B. that C. one D. those
19. Someone ______ up your seat to the lady with a baby, please.
A. will give B. would give C. gives D. give
20. ―Are you coming tonight?
―I’d love to, but I’m afraid I ______ then.
A. will be teaching B. will teach
C. will have taught D. am teaching
21. ―You finally made it, didn’t you?
―Yes, ______ your help, I wouldn’t have succeeded.
A. in spite of B. but for C. due to D. thanks to
22. ―Mary, ______ Mr. White wants to see you at the gate.
―That is out of ______ question. I’ve never known any Mr. White.
A. / ;/ B. a; the C. the; / D. the; a
23. Her health ______ under the pressure of work and she had to stay in hospital for a month.
A. broke up B. broke away C. broke out D. broke down
24. Once ______, everyone taking the examination will be given test papers.
A. seated B. seating C. being seated D. having seated
25. ―I don’t feel like going out. Why don’t we just stay home and watch TV instead?
―______ You promised to take me out for dinner and to the theatre on my birthday.
A. Great! B. Why me? C. Come on! D. Not at all.
26. ―Why on earth didn’t you answer the phone?
―I’m terribly sorry, but the doorbell ______, too.
A. is ringing B. rang C. was ringing D. was about to ring
27. If you keep practicing your son in football, he ______ to be a famous player.
A. wants B. hopes C. wishes D. promises
28. The speech which he made ______ the football match bored a lot of fans to death.
A. being concerned B. be concerned C. concerned D. concerning
29. Although he knew little about the large amount of work done in the field, he succeeded ______ other more well-informed experimenters failed.
A. as B. unless C. what D. where
30. When we are in new places, we must ______ our manners and try to follow the customs of the place.
A. look out B. keep eyes out C. mind D. put up with
31. ______ for the terrible coal mine accident, as the public thought, the mayor of the city felt nervous and was at a loss what to do.
A. Having blamed B. He was to blame
C. Being to be blamed D. Being to blame
32. ______, I really believe that I’d prefer not to make any change now.
A. Considered all the possibilities B. Taking all the possibilities into consideration
C. Taken all the possibilities into consideration
D. Giving all the possibilities
33. This series of books is said to be a special one, which ______ many events not found in other history books.
A. writes B. covers C. deals D. refers
34. ―I didn’t take notes at yesterday’s meeting because I had left my pen at home.
―You ______ mine. I ______ it.
A. must have borrowed; wasn’t using B. may have borrowed; didn’t use
C. could have borrowed; wasn’t using D. should have borrowed; hadn’t used
35. ______, they had no chance of winning the war.
A. As they fought bravely B. Bravely as they fought
36. ―Why didn’t you go to help her when she needed your help badly?
―I would have, but I ______ as busy as a bee then.
A. would be B. had been C. was D. were
37. I found him sitting in his chair, completely ______ a magazine.
A. absorbing B. being absorbed C. absorbed in D. absorbing in
38. I think a cold drink can ______ you after your long hot journey.
A. recover B. reward C. relieve D. refresh
39. I would have helped you, but I ______ really occupied the whole week.
A. was B. am C. had been D. were
40. When the spaceship traveled above, ______ new-looking earth appeared before us, ______ earth that we had never seen before.
A. a; the B. the; an C. / ;the D. a; an
41. She asked the young man to be brief and ______ as she had little time to spare.
A. at best B. in place C. to the point D. on the spot
42. What worried the boy most was ______ to visit his father in the hospital.
A. his not being allowed B. his not allowing
C. his not been allowed D. his being not allowed
43. ―You seem to be deeply struck by her beauty.
―Not exactly. It was her skill and courage ______ her beauty that really struck me most.
A. other than B. rather than C. as well as D. more than
44. He was told that it would be at least three more months ______ he could recover and return to work.
A. before B. when C. since D. that
45. ―Why did John asked me about the problem?
―______, he tried to find a better way to settle it.
A. Not to be satisfied B. Don’t satisfy
C. Not being satisfied D. Not satisfied
46. While tidying the room, Jim found the ______ toy bought for him as a birthday present.
A. fine plastic small B. plastic fine small
C. small fine plastic D. fine small plastic
47. December saw a more than average rainfall; ______, the possibility of a drought is still strong.
A. therefore B. nevertheless C. whereas D. although
48. I prefer a flat in the suburb to ______ in downtown, because I want to live near my Mom’s.
A. one B. that C. it D. this
49. The driver got out of the car ______ it caught fire.
A. immediately B. that C. unless D. until
50. ―______that he managed to pass TOEFL?
―Oh, he had studied English in the New Oriental School for several years.
A. Where was it B. What was it C. How was it D. When was it
51. Have you learned enough spoken English to ______ a conversation with the foreigners?
A. carry on B. go on C. take on D. keep on
52. The US president Bush said his country will sign a peace treaty with the DPRK（朝鲜）______ the latter gets rid of all its nuclear facilities.
A. while B. even if C. so that D. provided
53. Be more careful and I’m sure you’ll do ______ better next time.
A. rather B. fairly C. very D. quite
54. The doctor always turned up ______ he was most needed. No wonder he was called “doctor sent by ‘God’”.
A. the place where B. in the place C. in which D. where
55. As many as 150 miners died in the accident. If only the mine-owners ______ enough attention to the safety measures!
A. paid B. should pay C. would pay D. had paid
56. I don’t remember how many years ago ______ I last showed you round the farm.
A. it was that B. was it that C. it was when D. was it when
57. ―Will another fifty be enough?
―Just twenty will ______.
A. work B. do C. suit D. fit
58. ______ she will be back home for her glasses.
A. It is long before that B. It won’t be long before
C. It will be long before D. It is before long that
59. I’ll ______ my decision and never change it.
A. stick to B. insist on C. understand D. give up
60. It’s strange that they ______ without saying good-bye to anybody.
A. must have left B. should have left C. can have left D. may have left
61. ―______ helps others will be helped.
― So I’m thankful to and try to help ______ has helped us.
A. Whoever; whomever B. Who; whoever
C. Whoever; whoever D. Who; whomever
62. It’s time to stop work. Let’s ______ the tools and ______ for the night in the woods.
A. put into; put on B. put down; put off
C. put aside; put out D. put away; put up
63. Only when ______ masters of their own country ______ really serve them.
A. the people have become; science can
B. the people have become; can science
C. have the people become; science can
D. do the people become; can science
64. While building a tunnel through the mountain, ______.
A. an underground lake was discovered
B. there was an underground lake was discovered
C. a lake was discovered underground
D. the workers discovered an underground lake
65. ―Well, lost again!
―It is not very important. We ______ forget about it. OK?
A. can’t B. may as soon C. might as well D. ought to have had to
66. He was lucky to win a prize of 500, 000 dollars, ______ known all over the country.
A. making himself B. making him C. to make him D. which make himself
67. ______ it ______ for your help, I couldn’t have made my progress.
A. Had; not been B. Should; not be C. Did; not be D. Not’ be
68. ―Why do the boys ______ Liu Jun as “Panda”?
―Because he is short and fat with thick glasses.
A. refer to B. turn to C. call up D. call for
2009年高考英语第二轮复习单选易错题
1. --- What is the matter with the pen?
--- The ink _______come out.
A. isn’t B. didn’t C. don’t D. won’t
2. He will spend six hours at his desk _______ he finishes his composition.
A. before B. until C. after D. when
3. He took off his coat, _____ all his pockets, but couldn’t find his key.
A. searched B. searching C. to search D. searches
4. Passengers are required to _____ seated until the plane comes to a complete stop.
A. leave B. get C. keep D. remain
5. --- Have you got ready for the meeting?
--- Not yet. We need ________.
A. three other chairs B. other three chairs
C. another three chairs D. three another chairs
6. --- _______ he come in or wait outside?
--- Let him in, please.
A. Shall B. Will C. Does D. Has
7. --- Would you like to join us?
--- Sorry, I’m not _______ as any one of you.
A. a so good player B. a such good player C. so good a player D. such good a player
8. Please tell me the way you thought of ______ the garden.
A. take care of B. to take care of C. taking care D. how to take care
9. --- The young man spent as much time as he _______ the experiments.
--- No wonder he succeeded _______.
A. did; by the end B. could doing; in the end
C. could doing; at the end D. could to do; in the end
10. --- His brother studies at No. 1 Middle School.
--- ________ my brother and me.
A. So do B. So does C. Neither do D. So it is with
11. The result of the experiment was very good, ______ we hadn’t expected.
A. when B. that C. which D. what
12. --- You are drinking too much.
--- Only at home. No one _______ me but you.
A. is seeing B. had seen C. sees D. saw
13. The picture ______ on the wall is painted by my nephew.
A. having hung B. hanging C. hangs D. being hung
14. It was an exciting moment for these football fans this year, ___ for the first time in years their team won the World Cup.
A. that B. while C. which D. when
15. Sorry I’m late. I ______ have turned off the alarm clock and gone back to sleep again.
A. might B. should C. can D. will
16. One of the sides of the board should be painted yellow, and _______.
A. the other is white B. another white C. the other white D. another is white
17. _______ some of this juice--- Perhaps you’ll like it.
A. Trying B. Try C. To try D. Have tried
18. If you don’t go, _______ I.
A. so do B. so will C. nor do D. neither shall
19. The kings are still _____ a visit abroad. They won’t be back ___ the end of this month.
A. on; until B. in; until C. in; by D. at; in
20. The ______ look on his face suggested he ______ that.
A. surprising; expect B. surprising; would expect
C. surprised; hadn’t expected D. surprised; wouldn’t have expected
21. I’m considering ______ my house ________.
A. to have; rebuilt B. having; rebuild C. having; rebuilt D. having; to be rebuilt
22. I want you to be honest. I hope you feel free to say _____ is on your mind.
A. whatever B. anything C. everything D. that
23. Those children are wild. I feel sorry for _____ has to be their baby-sitter.
A. whom B. who C. whoever D. the one
24. ______ seen such a magnificent city as
A. I before never have B. Never have before I
C. Never before have I D. Before never have I
25. _______, there would be no air around the earth.
A. There were no gravity B. There was not any gravity
C. Were there no gravity D. was there no gravity
26. ________ he seems to know everything.
A. Young as he is, yet B. Young as he is
C. As he is young, but D. Though he is young, but
27. The soldier was _____ in the battle.
A. injured B. wounded C. hurt D. died
28. Can you _____ the capitals of all the countries?
A. call B. name C. tell D. give
29. Failure is the mother of success. ______ your courage and you’ll succeed.
A. Keep off B. Keep out C. Keep up D. Keep on
30. David and Jack, _____so much alike each other, were often considered _____ twin brothers.
A. looking; to be B. looking; being C. looked; to be D. being looked; being
31. ________ that I was a regular visitor, the servant let me in.
A. Having seen B. Seen C. Seeing D. To see
32. Is it in the factory ______ you visited last week ______ this kind of car is made?
A. /; that B. where; when C. where; that D. /;when
33. --- I hear
--- What? I can’t imagine him ______ as a teacher.
A. teach; to work B. teaches; working C. teaches; to work D. teach; working
34. _____ doesn’t seem to have been any trouble in solving the problem.
A. It B. That C. There D. He
35. If you had finished your homework yesterday, you _____ home now.
A. will go B. would go C. would have gone D. go
36. John plays football _______, if not better than, David.
A. as well B. as well as C. so well D. so well as
37. Whom would you rather _____ with you, Tom or _______?
A. to go; I B. have gone; I C. have go; me D. go; me
38. _______ very high speed, the rocket rushed into the air and soon disappeared.
A. With B. By C. At D. On
39. _________ in dealing with such a film, you will be sorry.
A. Being caught B. Caught C. Having caught D. catching
40. He has made a wonderful discovery, ________ of great importance to science.
A. which I think is B. which do I think is C. I think which is D. which I think it is
41. --- What made her unhappy?
--- ___________ in the last exam.
A. Having failed B. Fail C. Failed D. To fail
42. He expressed his satisfaction with the talks and then _____ that he enjoyed his stay here.
A. added B. spoke C. told D. declared
43. You see so many people here. I think it is hard to make yourself _____.
A. understood B. heard C. known D. accepted
44. Don’t worry, father. I have saved the money ______ for his schooling.
A. needs B. to need C. needing D. needed
45. We have produced much more cars this year, ____ is said in the report.
A. as B. like C. this D. that
46. --- Let’s hurry. The President is coming.
--- Oh, I was afraid that we ________.
A. already miss him B. had already missed him
C. will miss him already D. have already missed him
47. If you keep on , you'll succeed _____.
A. in time B. at one time C. at the same time D. on time
48. The postman comes at 6:
A. when B. at which C. which D. that
49. --- How long ____ was this?
--- It’s been nearly six years now.
A. ago B. before C. later D. partly
50. The article is written _____ that all of us can read it ourselves.
A. in such easy English B. in so easy English
C. in such an easy English D. with such easy English
51. --- Hurry up! Don’t have the car _____ at the gate.
--- I’ll be ready after I have my son ______ .
A. wait; dressing B. waiting; dressed C. waited; dress D. to wait; to dress
52. Mr Brown, ________, works as manager of the company.
A. we got here in his car B. we got here by car
C. in whose car we got here D. by whose car we got here
53. The young couple came to the ball without ___________.
A. being invited B. inviting C. been invited D. invite
54. I’ll give the diamond to _______ needs it.
A. whoever B. anyone C. no matter who D. those who
55. I was about to go to bed _____ someone knocked at the door.
A. when B. then C. at the time D. and
56. Helen said that they ________ for 3 years.
A. had married B. married C. had been married D. had marriage
57. --- How long has this bookshop been in business? --- _________ 1985.
A. After B. In C. Since D. From
58. The trapped children ______ what had happened.
A. explained me B. explained to me that C. explained that D. explained to me
59. It is said that the __________ temple was built 1500 years ago.
A. stone fine old B. stone old fine C. fine old stone D. fine stone old
60. Put the book ______ it should be when you’ve finished reading it.
A. how B. which C. where D. who
61. It is the place _____ I once visited when I was young.
A. that B. in which C. where D. at which
62.
A. when B. in which C. at which D. which
63. They got to the railway station, _______ the train ________.
A. finding; had left B. to find; had left C. found; left D. to find; leaving
64. Is this museum ______ the students visited last year?
A. that B. which C. where D. the one
65. Mary is the only one of the girls who ________ in for sports.
A. go B. goes C. have gone D. have been
66. Kate was very fond of speaking French, ______ indeed she spoke well.
A. that B. which C. and D. /
67. _______ this road and you will get to the post office at the end.
A. To follow B. Follow C. Following D. If follow
68. --- Does _____ of these two buses go to the station?
--- You can’t get to the station by __________ of them.
A. both; both B. neither; neither C. any; any D. either; either
69. John must have forgotten to return the magazine to the library yesterday, _________?
A. mustn’t he B. hasn’t he C. haven’t he D. didn’t he
70. Billy has recently _____ golf to provide himself with some relaxation.
A. taken on B. taken up C. taken over D. taken with
71. Don’t lose heart. It won’t be long ___________ you catch up with others.
A. since B. until C. as D. before
72. Facts showed that only when they united ______ the strong enemies.
A. could they defeat B. they could defeat C. they did defeat D. had they defeat
73. --- Where does Mr. Smith come from?
--- I’m not sure, but his English _______
A. sounds B. suggests C. tells D. says
74. The meeting ________ now is of great importance.
A. being held B. to be held C. held D. is being held
75. Chinese is a language ______ more native speakers than any of the other language.
A. which B. has C. with D. spoken
76. Such people _______ knew Tom thought he was something of a musician.
A. who B. that C. as D. whom
77. Wang Hua has a better command of English _________ to make such mistakes.
A. not B. as C. them D. than
78. _______ the night they had prepared a lot of wonderful programmes.
A. For B. At C. On D. Of
79. While standing there, I found the strange eyes _____ me.
A. fixed upon B. looked at C. stared at D. glared at
80. They _______ 1000 dollars for the old house. And now they’ve bought a new one.
A. spent B. sold C. took D. paid
81. _______ , he didn’t attend the meeting.
A. He was busy B. He being busy C. Because of busy D. Being busy
82. --- Hi, Grandma, why do you look so tired?
--- I’m tired. I _______ the cleaning all morning.
A. did B. had done C. have been doing D. have done
83. We have to produce more food to _______ the demand of the ever-growing population.
A. suit B. fix C. meet D. respond
84. --- I’m sorry I won’t be able to go with you.
--- But you _______ me you _________.
A. told; were going to B. have told; were going to
C. have told; would go to D. Had told; were going to
85. --- Do you feel like _________ there or taking a bus?
--- I would like to walk. Since there isn’t much time left. I’d rather we _____ a taxi.
A. walking; take B. walking; took C. to walk; take D. to walk; took
86. --- Why can’t I smoke? --- At no time ____ in the meeting room.
A. does smoking permit B. is smoking permitted
C. smoking is permitted D. permits smoking
87. --- Will you go to the exhibition with me?
--- If you don’t, ____________.
A. nor do I B. so do I C. neither shall I D. so will I
88. I know there is a coin in your left hand, but what’s in your _______ hand?
A. other B. another C. the other D. others
Answers:
1 -5 DAADC 6-10 ACBBD 11-15CCBDA 16-20CBDAC 21-25 CACCC 26-30BBBCA 31-35CABCB 36-40BCCBA 41-45 AABDA 46-50BABAA 51-55BCAAA 56-60CCDCC 61-65 ADBDB 66-70BBDDB 71-75DABAC 76-80CDAAC 81-85 DCCAB 86-88BCA
上 海 市2009年高三十四校联考模拟试卷
英 语 试 题
（本试卷共分两部分，满分150分，其中第一卷105分，第二卷45分。考试时间：120分钟）
第Ⅰ卷 （共105分）
Ⅰ．Listening Comprehension（30分）
Section A Short Conversations（10分）
Directions: In section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers in your paper, and decide which one is the best answer to the question you have heard.
1． A．Doctor and patient. B．Boss and secretary.
C．Teacher and student. D．Conductor and passenger.
2． A．Shopping. B．Study. C．Sport. D．Food.
3． A．At 7:30. B．At 7:45. C．At 8:00. D．At 8:15.
4． A．2 yuan. B．3 yuan. C．1.6 yuan. D．0.16 yuan.
5． A．The pink woolen dress.
B．The blue and white woolen sweater.
C．The blue and white silk dress.
D．The pink silk dress.
6． A．On a bus. B．In a car. C．In an elevator. D．Over a phone.
7． A．Nurse. B．Journalist. C．Doctor. D．Lawyer.
8． A．By train. B．By car. C．By plane. D．By bus.
9． A．Sewing. B．Watching TV. C．Playing golf. D．Playing Badminton.
10．A．She found there were too many characters in the novel.
B．She usually can’t understand the context of the novel.
C．She also found the whole story difficult to understand.
D．She has learned a lot from the novel.
Section B Passages（12分）
Directions: In section B, you will hear two short passages, and you will be asked three questions on each of the passages. The passages will be read twice but the questions will be spoken only once. When you hear a question, read the four possible answers in your paper, and decide which one would be the best answer to the question you have heard.
Questions 11 through 13 are based on the following passage.
11．A．Daniel. B．Mr. Simon. C．Officer Hitcher. D．Daniel’s two sisters.
12．A．Their hard work and the sense of duty.
B．Their simple life and shinning qualities.
C．Their contribution to local education cause.
D．Their role in advancing scientific study.
13．A．Some special windows in Shanghai Library.
B．A special corner in Shanghai Library.
C．An activity of spreading Chinese culture.
D．Some
foreign branches of
Questions 14 through 16 are based on the following passage.
14．A．$ 20,000 million. B．$ 80,000 million.
C．$ 10,000 million. D．$ 100,000 million.
15．A．Only their closest friends and family members.
B．Their colleagues.
C．Only their parents.
D．All their friends.
16．A．The bride and groom invite a small group of guests hold a party.
B．The bride and groom get married first and tell people later.
C．The bride and groom invite some guests to travel to a special place where they hold the
ceremony.
D．The bride and groom choose a secret place for the ceremony.
Section C Longer Conversations（8分）
Directions: In section C, you will hear a longer conversation. The conversation will be read twice. After you hear the conversation, you will be required to fulfill the task by fill in the numbered blanks with the information you have heard.
Blanks 17 through 20 are based on the following conversation.
When does woman want to travel?
In 17 .
What is not necessary if she travels in
A 18 .
How long will she stay there?
19 days.
The flight number of her trip.
20 .
Complete the form. Write ONE WORD for each answer.
Blanks 21 through 24 are based on the following conversation.
What does the woman want to pick up?
21 .
Why is the woman not very well?
She has 22 .
Why does the man think the woman gets sick?
She has been
What does the man suggest the woman do?
24 .
Complete the form. Write NO MORE THAN THREE WORDS for each answer.
Ⅱ．Grammar and vocabulary（25分）
Section A
Directions: Beneath each of the following, sentences there are four choices marked A,B,C or D. Choose the one answer that best completes the sentence.
25．―I hear that the Australian bushfire which happened in the north of Melbourne killed at least
181 people and destroyed many buildings.
―Yes, news came as shock to me.
A．the, the B．the, a C．a, the D．a, a
26．The librarian promised to get the book for me she could remember who last
borrowed it.
A．in case B．as long as C．even if D．as far as
27．The study you have been making the ancient Chinese characters is an instructive job.
A．to B．for C．of D．from
28．The bicycles in the other shops will be but .
A．cheaper, not as good B．more cheap, not as better
C．cheaper, not as better D．more cheap, not as good
29．Yassin’s death was not to stop Hamas’ attempt terror attack.
A．hoped; carrying on B．expected; launching
C．hoped; to carry on D．expected; to launch
30．―What’s the matter with you?
―Oh, I’m not feeling well in the stomach. I so much fried fish just now.
A．shouldn’t eat B．mustn’t have eaten
C．shouldn’t have eaten D．mustn’t eat
31．What is the way George thought of enough money to buy the house?
A．to get B．getting C．having got D．being got
32．Determination is a kind of basic quality and is it takes to do jobs well.
A．what B．that C．which D．why
33．David apologized for to inform me of the change in the plan.
A．his being not able B．him not to be able
C．his not being able D．him to he not able
34． waking from a dream, Silicon Valley has suddenly realized that the
economy means trouble for tech companies.
A．Although, collapsing B．As if, collapsed
C．Although, collapsed D．As if, collapsing
35．Comparison my make something appear more beautiful than it is when alone.
A．to see B．seeing C．is seen D．seen
36．The man showed us such a heavy stone no man could lift.
A．that B．as C．which D．and
37．The Y-shaped Metro Line 11, the longest subway in China, Jiading District, Nanhui
District and the downtown city, will be completed in late 2009.
A．connecting B．connects C．to be connected D．will connect
38．The professor can hardly find sufficient grounds his argument.
A．which to be based on B．on which to base
C．which to be based D．which to base
39．The women carrying babies, come in first, ?
A．will you B．will they C．do you D．don’t you
40．Only when .
A．did he arrive the meeting began B．he arrived the meeting began
C．did he arrive the meeting begin D．he arrived did the meeting begin
Section B
Directions: Complete the passage with the words given in the table. Each word can be used only once. There is an extra one that you will find no use for.
A．reward B．evidence C．currently D．affect AB．Benefit
AC．average AD．therapy BC．physically BD．sensible CD．lengthen
A leading researcher into old age has warned that the dream of living forever, or at least much longer than at present, could turn into a curse（祸根）rather than a blessing. It may become possible to lengthen the 41 human life by controlling genes---but what we gain may not be worth the price we would have to pay.
Professor John Grimley Evens believes that 42 , maximum life expectation is 115, but that with gene 43 it might be possible to extend this. The professor says, however, that a
44 lifestyle can extend the average lifespan of everyone at the moment.
“We know a lot already about how people’s lifestyles 45 their lifespan. There is increasing 46 to suggest that sensible lifestyles are effective in later life as well as in early and middle life.”
“It is never too late to gain some 47 from giving up smoking, from drinking less alcohol, from taking up sensible patterns of diet and exercise and from controlling body weight. We already know how to 48 human life.”
The professor believes that the process of lengthening life by means of gene therapy might bring dangers with it. If gene therapy affected only one part of the human body but not all of it, people might be 49 capable of living longer, but would start to be worse mentally at a much earlier age.
Ⅲ．Reading Comprehension（50分）
Section A（15分）
Directions: For each blank in the following passage there are four words or phrases marked A, B,C or D. Fill in each blank with the word or phrase that best fits the context.
With
oil prices approaching the symbolic mark of $
The 51 oil shocks were caused by sudden
interruptions in exports from the
Oil prices 53 $ 98.6 on the New York Mercantile Exchange before falling back to $ 96.4 at the close of trading last Wednesday. Forecasts of future oil prices 54 widely. Virtually no one foresees a return to the $20 oil of a decade ago. It means consumers should face an era of high fuel 55 .
For most of the 20th century, 56 was cheap and abundant. Throughout the 1990s,
57 ,oil prices averaged $
58 than imported bottle water.
The concern today is over how the 59 sector（行业）will meet the growth in demand over the longer term.
Today,
however,
Experts
say no one should count on oil prices rising forever. Economic
50．A．nearly B．generally C．fundamentally D．traditionally
51．A．past B．unexpected C．world D．recent
52．A．supply of B．demand for C．reservation of D．production of
53．A．remained B．stroke C．dropped D．hit
54．A．range B．reach C．are D．predict
55．A．import B．consumption C．payment D．costs
56．A．food B．oil C．labors D．material
57．A．for example B．however C．nevertheless D．therefore
58．A．consumed more B．cleaner C．more expensive D．cheaper
59．A．industrial B．power C．energy D．various
60．A．chance B．challenge C．crises D．charge
61．A．exporter B．importer C．consumer D．producer
62．A．nation’s B．region’s C．world’s D．fuel
63．A．reducing B．effective C．efficient D．increasing
64．A．control B．growth C．advancement D．slowdowns
Section B （30分）
Directions: Read the following passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B,C or D. Choose the one that suits best according to the information given in the passage you have just read.
A
They
say there are three ways to experience the Grand Canyon; on foot, on mules（骡子）or
by air. We chose the first. Up early; my husband and I and our three children
couldn’t wait to get started. We decided to walk along a lovely path named
As
we set out, I was shocked at how narrow the path was. And I couldn’t help
noticing that the other tourists weren’t like us. They had heavy backpacks,
water bottles, and hats. But as usual we were dressed, As the sun rose higher,
The next day, after we’d had a long rest and a good breakfast, we were ready for another view of the Canyon ? by air. After our last walk, this would be the easiest thing in the world.
We called to each other excitedly as the plane took off and circled around the Canyon. But the smiles on our faces disappeared as the pilot tossed（翻转）the plane around, pretending he was going to hit the ground. I shouted, “STOP, TAKE US BACK!” When we finally arrived back on land, once again our legs were like jelly. We hardly spoke as we drove back.
As
I said, there are three ways to view the
65．Which of the following is true according to the second paragraph?
A．They made a careful preparation before the trip.
B．They children were more joyful than their parents.
C．
D．The summer heat prevented them from enjoying the view.
66．The underlined expression “Our legs were like jelly” probably means .
A．we were weak B．we were unhappy
C．we were dissatisfied D．we were disappointed
67．Which of the following best describes their Canyon trip by air?
A．It proved to be frightening. B．It was more comfortable.
C．It turned out to be exciting. D．It made each of them tired.
68．We can infer from the passage that .
A．experiencing the Canyon on mules would be the best way.
B．one
needs to dress less when visiting the
C．the writer was not serious when she made the suggestion.
D．the whole family narrowly escaped from the air accident.
B
What to expect in the cinema this winter?
The Golden Compass
Running Time: 1 hour 54 min. Release Date: December7, 2007
Starring: Nicole Kidman, Dakota Blue Richards, Directed by: Chris Weitz
12-year-old Lyra is a girl who lives in a world, where human souls take the form of animal companions. When her best friend disappears, Lyra promises to find him. One thing Lyra packs for the trip is a mysterious compass that many people are violently determined to get. What is awaiting her?
I AM Legend
Running Time: 1 hour 42min. Release Date: December14, 2007
Starring: Will Smith, Alice Braga, Dash Mihok,
Robert Neville, a brilliant scientist, isn’t quite brilliant enough to stop a man-made virus from escaping and killing everyone in sight. Somehow, Robert is Virus-free. As Robert realizes that his time may be up, he’s determined to find a way to save the human race―using his own virus-free blood.
This Christmas
Running Time: 1 hour 57 min. Release Date: November 29, 2007
Starring: Laz Alonso, Chris Brown,
It’s Christmas! Time for joy! Love! Gifts! And, oh family. For the first time in many years, the whitefields are all coming home. It should be a happy time for all, but after years away, it’s clear that there are plenty of reasons they’ve grown apart. How can all these people and all their secrets survive under one roof? By the time the presents are opened, they are to find out what they have missed for these years―family.
Into the wild
Running Time: 2hours 20min Release Date: December 22nd, 2007
Starring: Emile Hirsch, Marcia Harden
Freshly graduated from Harvard with a bright future, 22 year-old Christopher instead walked out of his “good” life and into the wild in search of adventure. What happened to him on the way changed this young wanderer into an enduring symbol for countless people. Was Christopher a heroic adventurer or another American loser?
69．The film with the longest running time is .
A．The Golden Compass B．I AM Legend
C．This Christmas D．Into the Wild
70．“This Christmas” probably .
A．reveals how to choose Christmas gifts for our relatives
B．reveals the secrets to a successful marriage
C．reveals the importance of money to any family
D．reveals the truth of a family and its real problems
71．In the movie “Into the Wild”, the “good” life is probably .
A．adventurous and dangerous B．steady and promising
C．risky and exciting D．poor and depressing
C
Although
the average price of residential houses in the
The
high housing sales price in large cities in
At the beginning of 2007, Chinese government issued a set of policies that aimed to benefit the public. Now in order to reduce the high housing prices, the government can regulate the real estate market by raising tax on property industry and controlling the release of loans and lands to property developers. At the same time, the government should allow people to build more houses through various fund-raising channels, such as funds collected from buyers or raised by working units. By applying these multiple means, it is expected that the high housing prices can be lowered.
72．According to the passage, what is the average housing price per square meter in China?
A．8000 yuan B．10000 yuan C．7000 yuan D．It’s not mentioned here
73．Which of the following does NOT support the idea that the average housing price in China is
even
higher than in the
A．Chinese houses can not be compared with houses in US in terms of building quality,
environment and supporting facilities.
B．American people’s average income is several dozen times higher than that of Chinese
people.
C．The houses in US are not sold in terms of building area, as most Chinese property
developers do when they sell their houses.
D．There
are more people who need houses in
74．What is the main idea of this passage?
A．The
housing price in
prevent it.
B．There are some bubbles in Chinese real estate market.
C．The
average housing price in
D．Chinese government issued a set of policies that aimed to benefit the public.
75．How many measures are mentioned in the last paragraph in order to reduce the high housing
prices?
A．Four B．Three C．Five D．Two
D
Some futurologists have assumed that the vast increase of women in the workforce may portend（预示）a rejection of marriage. Many women, according to this hypothesis, would rather work than marry. The opposite of this concern is that the prospects of becoming a multi-paycheck household could encourage marriage. In the past, only the earnings and financial prospects of the man counted in the marriage decision. Now, however, the earning ability of a woman can make her more attractive as a marriage partner. Data show that economic downturns tend to put off marriage because the parties cannot afford to establish a family or are concerned about rainy days ahead. As the economy comes to life, the number of marriages also rises.
The increase in divorce rates follows to the increase in women working outside the home. Yet, it may be wrong to jump to any simple cause-and-effect conclusions. The impact of a wife’s work on divorce is no less cloudy than its impact on marriage decisions. The realization that she can be a good provider may increase the chances that a working wife will choose divorce over an unsatisfactory marriage. But the reverse is equally plausible（似是而非的）. Tensions grounded in financial problems often play a key role in ending a marriage. By raising a family’s standard of living, a working wife may strengthen her family’s financial and emotional stability.
Psychological factors also should be considered. For example, a wife blocked from a career outside the home may feel caged in the house. She may view her only choice as seeking a divorce. On the other hand, if she can find fulfillment through work outside the home, work and marriage can go together to create a stronger and more stable union.
Also, a major part of women’s inequality in marriage has been due to the fact that, in most cases, men have remained the main breadwinners. A working wife may rob a husband of being the master of the house. Depending upon how the couple reacts to these new conditions, it could create a stronger equal partnership or it could create new insecurities.
76．It is said in the passage that when the economy slides_____.
A．men would choose working women as their marriage partners
B．more women would get married to seek financial security
C．even working women would worry about their marriages
D．more people would prefer to remain single for the time being
77．If women find fulfillment through work outside the home,_____.
A．they are more likely to dominate their marriage partners
B．their husbands are expected to do more housework
C．their marriage ties can be strengthened
D．they tend to put their career before marriage
78．One reason why women with no career may seek a divorce is that_____.
A．they feel that they have been robbed of their freedom
B．they are afraid of being bossed around by their husbands
C．they feel that their partners fail to live up to their expectations
D．they tend to suspect their husbands? loyalty to their marriage
79．Which of the following statements can best summarize the authors view in the passage?
A．The stability of marriage and the divorce rate may reflect the economic situation of the
country.
B．Even when economically independent, most women have to struggle for real equality in
marriage.
C．In order to secure their marriage women should work outside the home and remain
independent.
D．The impact of the growing female workforce on marriage varies from case to case.
Section C（5分）
Directions: Read the following text and choose the most suitable heading form A-F for each paragraph. There is one extra heading which you do not need.
A．A “needs statement” is critical to your proposal.
B．Never write a grant proposal only for funding purpose.
C．About school grants.
D．Read and understand the investor’s guidelines and requirements.
E．Describe your project fully.
F．Let your investor know your progress.
80．
You should always seek grant（奖学金）opportunities that match your program’s goals and objectives rather than the other way around. If you change your program based on an investor’s guidelines, you may end up with a project or program that is mere shell（框架）of the original plan. The goal of grant writing is not simply to bring more money in for your agency; the goal is to fund programs that will meet the needs of your investor.
81．
Most funding agencies publish grant guidelines or requirements. Make sure you understand them and follow them exactly. Note the deadline and whether the proposal must be received by the deadline. Don’t have your proposal thrown out because you didn’t follow the guidelines properly. Exceptions are rarely made, regardless of the circumstances. Some investors have special requirements; follow them!
82．
Your “needs statement” drives your entire grant proposal. The proposed program should revolve around the problems faced by your clients. The purpose of the grant is to meet the specific needs you have identified. If you have not adequately described the reason you need the program, including the research data when possible, the investor will see no reason to invest in your project.
83．
Every proposal will require a section that describes the broad goals and measurable objectives of your project. You should detail the activities of your project Your budget and budget narrative must closely match the described activities. Your evaluation should carefully measure whether the stated project objectives are being met on a timely basis. Foundation and corporate investors generally expect this section to be no longer than 5 to 10 pages. Federal grants may allow up to 50 pages or more for a thorough discussion of your project. Again, follow the guidelines of the investor.
84．
If you are fortunate enough to have your proposal funded, send a thank-you note for the grant. Next, keep the funding agency informed about your activities, progress and accomplishments. Invite them to come to see your program in operation. Send reports that tell how you’ve used the funds. In short, make your investor your partner.
第Ⅱ卷（共45分）
Ⅰ．Translation（20分）
Directions: Translate the following sentences into English. You are required to use the word given in the bracket for each respective sentence.
1．出于健康的缘故，他已经戒烟了。（sake）
2．毫无疑问，人们可以从网上获得他们感兴趣的任何东西。（available）
3．据报道，近年来，旅游业每年在全世界有大约5%的增长。（enjoy）
4．作为上海市民，我们强烈地感到办好2010世博会是我们的职责。（duty）
5．轻轨（elevated train）、地铁和磁悬浮（maglev train）构成的城市公共交通使上海成为一个更适宜居住的城市。（make）
6．有消息说，他被复旦大学提前录取了，这使得他的父母欣喜若狂。（which）
Ⅱ．Guided writing（25分）
Directions: Write an English composition in 120―150 words. The composition must be based on the information given below.
现在，高中生的学习压力越来越大，甚至出现了广大师生不愿意看到的情况。请结合自身情况，谈谈压力太大的危害以及减少压力的办法。
参 考 答 案
Listening comprehension
1-10 CCBAD CBBAC 11-13 ABC 14-16 BAC
17．May 18．passport 19．7 20．CA586
21．An apple pie 22．caught a flu 23．infected with/by 24．Call the doctor
25-29 BBCAD 30-34
CAACD 35-40
DBABAD 41
46-49 B, AB,CD,BC
50-54 CABDA 55-59 DBADC 60-64 BBCCD
65-68 CAAC 69-71 DDB 72-75 DDAB
76-79 DCAD 80-84 BDAEF
Translation（only for reference）
1．He gave up smoking for the sake of his health.
2．There is no doubt that anything that interests people/ people are interested in can be available（to them）from the Internet/ online.
3．It is reported that/ According to a report, in recent years tourism has enjoyed an annual growth of about 5% worldwide.
4．As citizens of Shanghai, we feel strongly（that）it（is）our duty to host the 2010 World Expo
well/successfully.
5．The public transportation made up of elevated trains, underground trains and maglev trains has
made
6．Word came that he had been admitted to Fudan University in advance, which made his parents
wild with joy.
Guided Writing（略）
评 分 标 准
Ⅰ．翻译评分标准
1．第1-4题，每题3分。第5-6题，每题4分。
2．在每题中，单词拼写、标点符号、大小写错误累计每两处扣1分。
3．语法错误每处扣1分。每句同类语法错误不重复扣分。
4．译文没有用所给单词，扣1分。
Ⅱ．写作
档次
内容
语言
组织结构
A
9-10
9-10
4-5
B
7-8
7-8
3
C
5-6
5-6
2
D
3-4
3-4
1
E
0-2
0-2
0
评分标准：（建议均分16分左右）
1．本题总分为25分，其中内容10分，语言10分，组织结构5分。
2．评分时应注意的主要方面：内容要点，应用词汇和语法结构的数量和准确性及上下文的
连贯性。
3．评分时，先根据文章的内容和语言初步确定所属档次，然后对照相应的组织结构档次给
予加分。其中，内容和语言两部分相加，得15分或以上者，可考虑加4-5分，15分以下者只能考虑加0，1，2，3分。
4．词数少于70，总分最多不超过10分。
各档次给分要求：
内容部分：
A．内容充实，主题突出，详略得当。
B．内容较充实，能表达出作文要求。
C．内容基本充实，尚能表达出作文要求。
D．漏掉或未能写清楚主要内容，有些内容与主题无关。
E．明显遗漏主要内容，严重离题。
语言部分：
A．具有很好的语言表达能力，语法结构正确或有些小错误，主要因为试用了较复杂结
构或词汇所致。
B．具有较强的语言表达能力，语法结构和词汇的应用基本正确，错误主要是因为尝试
较复杂结构和词汇所致。
C．有一些语法结构和词汇方面的错误，但不影响理解。
D．语法结构与词汇错误较多，影响了对内容的理解。
E．语法结构与词汇的错误很多，影响了对内容的理解。
组织结构部分：
A．自然地使用了语句间的连接成分，全文流畅结构紧凑。句子结构多样，词汇丰富。
B．能使用语句间连接成分，全文流畅结构紧凑。句子结构多样，词汇较丰富。
C．能使用简单的语句间连接成分，全文内容连贯。句子结构有一定的变化，词汇使用
得当。
D．尚能使用语句间连接成分，语言连贯性较差。句子结构单调，词汇较贫乏。
E．缺乏语句间的连接成分，语言不连贯。词不达意。
2009年天津市十二区县重点学校高三毕业班联考（一）
数学试卷（理科）
本试卷分第I卷（选择题）和第Ⅱ卷（非选择题）两部分,共150分,考试时间120分钟.第Ⅰ卷1至3页，第Ⅱ卷4至10页.考试结束后，将II卷和答题卡一并交回.
参考公式：
锥体体积公式
台体体积公式
，
其中
为底面面积，
为高
，
其中
为上底面积，为下底面积，为高
柱体体积公式
球的表面积、体积公式
，
其中为底面面积，为高
，
，其中
为球的半径
第I卷
选择题（本题共10个小题，每小题5分，共50分.在每小题给出的四个选项中，有1个是正确的）
1．已知集合
，
，则集合
（ ）
A．
B．
C．
D．
2．复数
是纯虚数，则
（ ）
A．
B．
C．
D．
3．若一个底面为正三角形、侧棱与底面垂直的棱柱的三视图如下图所示，则这个棱柱的体积为（ ）
A. 
B.
C. 
D. 6
4．已知命题
，命题
有2个子集，下列结论：①命题“
”
真命题； ②命题“
”是假命题；③命题“
”是真命题，正确的个数是
（ ）
A．0 B
5．下列可行域(图中阴影部分含边界)中能使线性目标函数
取到最大值1的是（ ）
6.右面框图表示的程序所输出的结果是
（ ）
A.1320
B.132
C.11880
D.121
7．已知等差数列
的前项和为
，且
,若记
，则数列
（ ）
A. 是等差数列但不是等比数列
B. 是等比数列但不是等差数列
C. 既是等差数列又是等比数列
D. 既不是等差数列又不是等比数列
8. 曲线
和直线
在y轴右侧的交点按横坐标从小到大依次记为
，
，
，…，则
等于
（ ）
A.
B.
D.
9．在实数的原有运算法则中，我们补充定义新运算“”如下：当时，
；当时，
.则函数
的最大值是
（ ）
A. B.
10．已知抛物线
有相同的焦点F，点A是两曲线的一个交点，且AF⊥x轴，若
为双曲线的一条渐近线,则的倾斜角所在的区间可能是
（ ）
A．
B. 
C．
D．
2009年天津市十二区县重点学校高三毕业班联考（一）
数学试卷（理科）
第Ⅱ卷 (非选择题，共100分)
注意事项：1．第Ⅱ卷共6页，用蓝、黑色的钢笔或圆珠笔直接答在试卷中。
2．答卷前，请将密封线内的项目填写清楚。
题号
二
三
总分
17
18
19
20
21
22
分数
得分
评卷人
二.填空题：本大题共6小题，每小题4分，共24分.把答案填在答题卷中相应的横线上.
11．二项式
的展开式中第三项的系数是
12．如图，已知圆
的直径
，
为圆周上一点，
，过点作圆的切线，过点
作的垂线
，垂足为
，则
=_________________
.
13．若向量
的夹角为
，
，则 
.
14. 用数字1，2，3，4，5组成没有重复数字的五位数，则其中数字2，3相邻的偶数
有 个 （用数字作答）
15.将直线
=0沿
轴向左平移1个单位，所得直线与圆
总有公共点，则实数
的最小值是
.
16．某同学在研究函数
(
R) 时，分别给出下面几个结论：
①等式
在
时恒成立； ②函数 f (x) 的值域为 (－2,2)；
③若
则一定有
； ④函数
在上有三个零点.
其中正确结论的序号有
. (请将你认为正确的结论的序号都填上)
三.解答题：本大题6小题，共76分．解答应写出文字说明，证明过程或演算步骤．
得分
评卷人
17．（本小题满分12分）在
中，
.
(Ⅰ)求
的值；
(Ⅱ)如果的面积为4，
，求
的长.
得分
评卷人
18．（本小题满12分）一盒内装有大小相同的
个球，每个球分别标有号码
，从盒中任取两个球，当所取两球号码之和为
时，相应概率为
．
(Ⅰ) 求的值；
(Ⅱ) 从中任取三个球，记其中最小号码为
，求的分布列和数学期望
．
得分
评卷人
19．（本小题满分12分）如图,在底面为直角梯形的四棱锥
，
，
,BC=6.
(Ⅰ)求证:
(Ⅱ)求二面角
的大小.
得分
评卷人
20．（本小题满分12分）
在数列
中，
（Ⅰ）证明：
；
（Ⅱ）求数列的通项公式；
（Ⅲ）设
的前n项和，求证
.
得分
评卷人
21．（本小题满分14分）
函数
，其中
为常数
,
为函数
的导函数.
（Ⅰ）当
时，证明：
；
（Ⅱ）当时，
满足
，证明：当
时，
；
（Ⅲ）设
分别是函数
的极大值点和极小值点，
且
，求的取值范围．
得分
评卷人
22．（本小题满分14分）已知椭圆的中心为坐标原点,一个长轴顶点为
,短轴顶点和焦点所组成的四边形为正方形，若直线与
轴交于点
,与椭圆交于不同的两点、
，
，则集合
A．
B．
C．
D．
2．复数
是纯虚数，则
A．
B．
C．
D．
3．若
且
，则
A．
B．
C．
D．
4．若一个底面为正三角形、侧棱与底面垂直的棱柱的三视图如下图所示，则这个棱柱的
侧面积为
A．
B．
C．
D．
5.偶函数
在区间
上是单调函数，且f（0）?f（a）<0，则方程
在区间
内根的个数是
A．1
B．
6. 给定性质：①最小正周期为
，②图象关于直线
对称，则下列四个函数中，同时具有性质①②的是
A．
B．
C．
D．
7．下列可行域(图中阴影部分含边界)中，能使线性目标函数
取到最大值的是
8．已知等差数列
的前项和为
，且
,记
，则
的值为
A．2
B．
9．已知命题
，命题
，若命题“
” 是真命题，则实数
的取值范围是
A．
或
B．或
C．
D．
10．已知抛物线
有相同的焦点F，点A是两曲线的交点，且AF⊥x轴，则双曲线的离心率为
A．
B．
C．
D．
2009年天津市十二区县重点高中高三毕业班联考（一）
数学试卷（文科）
第Ⅱ卷 (非选择题，共100分)
注意事项：
1．第Ⅱ卷共6页，用蓝、黑色的钢笔或圆珠笔直接答在试卷中。
2．答卷前，请将密封线内的项目填写清楚。
题号
二
三
总分
17
18
19
20
21
22
分数
得分
评卷人
二.填空题：本大题共6小题，每小题4分，共24分.把答案填在答题卷中相应的横线上.
11．某校有初中学生
人，高中学生
人，教师
人，现用分层抽样方
法从所有师生中抽取一个容量为
的样本进行调查，如果从高中学生中抽取
人，则=______．
12．如图，已知圆
的直径
，
为圆周上一点，
，过点作圆的切线
，过点 作的垂线
，垂足为
，则
=_________________ .
13．下面框图表示的程序所输出的结果是_____________ .
14．已知集合
，在平面直角坐标系中，
点
的坐标x∈A，y∈A。则点
正好在第二象限的概率________。
15．已知圆
：
,直线
过点
，且与圆交于
、
两点，
若
，则直线的方程是_________________________．
16．给出下列四个命题：
①函数
（
且
）与函数
（且）的定义域相同；
②函数
与
的值域相同；
③“
”是“函数
在定义域上是奇函数”
的充分不必要条件；
④函数
与
在区间
上都是增函数，
其中正确命题的序号是 .（把你认为正确的命题序号都填上）
三.解答题：本大题6小题，共76分．解答应写出文字说明，证明过程或演算步骤．
得分
评卷人
17．（本小题满分12分）
已知：在
中，
。
（Ⅰ）求
的值；
（Ⅱ）如果的面积为4，
，求
的长。
得分
评卷人
18．（本小题满分12分）
如图，已知
平面
，
平面
，△为等边三角形，
，
为的中点.
（Ⅰ）求证：
平面
（Ⅱ）求证：
平面
.
（Ⅲ）求四棱锥
的体积
得分
评卷人
19.( 本小题满分12分)
如图所示，将一矩形花坛
扩建成一个更大的矩形花园
，要求
在
上，在
上，且对角线
过点，
米，
米.
（Ⅰ）要使矩形的面积大于
平方米，则的长应在什么范围内？
（Ⅱ）当、的长度是多少时，矩形的面积最小？并求出最小面积.
 |
得分
评卷人
20．（本小题满分12分）
设
是等差数列，
是各项都为正数的等比数列，且
，
，
（Ⅰ）求，的通项公式；
（Ⅱ）求数列
的前n项和
．
得分
评卷人
21．（本小题满分14分）
已知在函数
的图象上以N（1，n）为切点的切线的倾斜角为
（Ⅰ）求m、n的值；
（Ⅱ）是否存在最小的正整数k，使得不等式
对于
恒成立？如果存在，请求出最小的正整数k；如果不存在，请说明理由；
（Ⅲ）试比较
与
的大小。
得分
评卷人
22．（本小题满分14分）
已知椭圆的中心为坐标原点,一个长轴端点为
,短轴端点和焦点所组成的四边形为正方形，若直线与
轴交于点
,与椭圆交于不同的两
点、，且
．
（Ⅰ）求椭圆的离心率及其标准方程；
（Ⅱ）求实数
的取值范围．
∵
平面，
平面，
另解：以、分别为
轴建立平面直角坐标系，
设
---------- ----------3分
由C在直线MN上得 
∴
---------- ----------５分
∴ 长的取值范围是
---------- ----------６分
（Ⅱ）∵
时等号成立. ----------
----------１１分
∴
米，和第II卷(非选择题)两部分，共150分．考试时间120分钟．</p><p>题 号</p><p>一</p><p>二</p><p>三</p><p>总 分</p><p>17</p><p>18</p><p>19</p><p>20</p><p>21</p><p>22</p><p>得 分</p><p> </p><p> </p><p> </p><p> </p><p> </p><p> </p><p> </p><p> </p><p> </p><p><img src=)
如果事件A、B互斥，那么
P(A+B)=P(A)+P(B)
如果事件A、B相互独立，那么
P(A?B)=P(A)?P(B)
如果事件A在一次试验中发生的概率是P，那么
n次独立重复试验中恰好发生k次的概率
第Ⅰ卷 (选择题，共60分)