上海市交大附中2020—2021学年高一上学期期终考试(英语)

上海市交大附中2020—2021学年高一上学期期终考试(英语)
上海市交大附中2020—2021学年高一上学期期终考试(英语)

上海市交大附中2020—2021学年高一上学期期终考试(英语)

高一英语期终试卷

(满分100分,100分钟完成。答案一律写在答题卡、答题纸上)

命题:陈永平审核:韩立新

I. Listening Comprehension (24%)

Section A

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 on your paper, and decide which one is the best answer to the question you have heard.

1. a. $ 2,000 b. $ 24,000. c. $ 48,000. d. $ 44,000.

2. a. Colleagues b. Employer and employee.

c. Husband and wife

d. Mother and son.

3. a. He is bored b. He is worried.

c. He is confident

d. He is not satisfied.

4. a. The next bus is coming soon.

b. The bus will wait a few minutes at the stop.

c. There are only two or three passengers waiting for the bus.

d. They can catch this bus without running.

5. a. In a cotton field b. At a railway station.

c. On a farm

d. On a train.

6. a. The man will go to meet the woman this evening.

b. The man and the woman have an appointment at 7 o'clock.

c. The woman can't finish making the jam before 7 o'clock.

d. The woman won't be able to see the man this evening.

7. a. The man must do some reading.

b. The woman wants to go to the concert.

c. The woman doesn't feel like going to the concert.

d. The man wants to go out to dinner.

8. a. The knife belongs to him.

b. Bob should mind his own business.

c. The man once borrowed Bob's knife.

d. Bob's knife isn't as good as that of the man.

9. a. Go to the library b. Go to see a film.

c. Get some exercise

d. Do homework in school.

10. a. She's learned a lot from the literature class.

b. She's written some books about world literature.

c. She's met some of the world's best writers.

d. She's just back from a trip round the world.

Section B

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 on 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 news.

11. a. European countries only.

b. European and African countries.

c. The countries in the Middle East and Northern Africa.

d. EU member states and non-EU member states.

12. a. It turned out nothing but a complete failure.

b. The members disagreed on key issues and the meeting broke up.

c. It's about marathon negotiations.

d. It's about international trade in Doha.

13. a. Suicide bombers hit Xinjiang.

b. An accident caused a lot of deaths.

c. Police caught two terrorists and shot eight more dea

d.

d. Dozens of unexploded bombs were found.

Questions 14 through 16 are based on the following passage.

14. a. They haven't devoted much energy to medicine.

b. There are too many kinds of cold viruses for them to identify.

c. It is not economical to find a cure for each type of col

d.

d They believ

e people can recover without treatment

15. a. They reveal the seriousness of the problem.

b. They indicate how fast the virus spread.

c. They show our body is fighting the virus.

d. They tell us what kind of medicine to tak

e.

16. a. It actually does more harm than good.

b. It causes damage to some organs of our body.

c. It works better when combined with other medicines.

d. It helps us to recover much sooner.

Section C

Directions: In Section C, you will hear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with the information you have heard. Write your answers on your answer sheet.

Complete the form. Write ONE WORD for each answer.

II. Grammar and Vocabulary (13%)

25. No agreement was reached in the discussion as neither side would give way to _____.

a. the other

b. any other

c. another

d. other

26. The results of the experiment have turned out to be more satisfactory than _______.

a. was expected

b. that were expected

c. had been expected

d. expecting

27. Inside the window of the car _____ nothing but a few small toys.

a. hanged

b. is hung

c. hangs

d. is hanged

28. --What’s the matter, Sara? You wear a sad look on your face.

--Oh, nothing much. As a matter of fact, I _______ of my friends back home.

a. just thought

b. have just been thinking

c. was just thinking

d. have just thought

29. An awful traffic accident_______, however, happen the other day.

a. does

b. did

c. has to

d. had to

30. The public criticized that the government should have tried all means to prevent the financial crisis ______.

a. occurring

b. being occurred

c. to occur

d. from being occurred

31. As I couldn’t find a better way to solve the problem, he suggested ______ to my parents.

a. me to turn

b. I would turn

c. me turning

d. me turn

32. What is the best way you think of _______ the living conditions in the mountainous area?

a. improving

b. to improve

c. having improved

d. to be improved

33. I t is ______children’s behavior carefully that we are able to find out those who come from the divorced family are more likely to go astray such as smoking, drinking alcohol, or taking drugs.

a. to observe

b. by observing

c. observing

d. being observed

34. We waited for the meeting for nearly three hours, only _____ it was cancelled.

a. finding

b. to find

c. having found

d. found

35. Practical jokes are tricks in which an unsuspecting victim is placed in an embarrassing position or made ______a fool.

a. looking

b. look

c. to look

d. looks

36.When his mother entered the room, he pretended _______ his homework attentively.

a. to do

b. to doing

c. to be doing

d. to have done

37. More consumers are waiting for the further drop of housing prices with money in their hands ______ buying houses, according to a report released by the chamber of commerce on China's real estate.

a. better than

b. more than

c. other than

d. rather than

38. The poor man suddenly found he was _______ he had been and was at a loss.

a. to which

b. where

c. to the place

d. what

39. Chaplin, for _____ life had once been very hard, directed a film about life in an American factory.

a. whose

b. whom

c. him

d. which

40. We went through a period _______ communications were very difficult in the rural areas.

a. which

b. whose

c. in which

d. with which

41. It has been estimated that the earth’s surface temperature has increased ____ half to three quarters of a degree since 1850.

a. to

b. by

c. at

d. with

42. An Asian normally does not open a gift in the presence of the giver, ______ an American tends to open it immediately when he gets it.

a. since

b. while

c. when

d. as

43. The fried scallops (扇贝) we ate at the restaurant yesterday is marvelous. I’d like to have them again even if they cost ______.

a. as twice much

b. much as twice

c. twice as much

d. as much twice

44 Many in the credit industry expect that credit cards will eventually _____ paper money for almost every purchase.

a. exchange

b. reduce

c. replace

d. substitute

45. The boss of the company felt worried when he found the profit couldn’t _____ the expenses.

a. pay

b. cover

c. charge

d. keep

46. To our relief, the friends that got separated in the floods came back home ______.

a. safely

b. safe

c. surprised

d. surprisedly

47. Taking the advantage as a journalist, she was admitted to the watchtower and had a particular _______ of the mountain ranges.

a. scene

b. sight

c. view

d. scenery

48. The house he now lives in is a (n) ______ contrast to the one he lived in six years ago.

a. bright

b. fresh

c. sharp

d. extreme

49. He is shy in the presence of strangers and he does all he can ______.

a. get it over

b. to get it over

c. get over it

d. to get over it

50. The young man is always energetic, and loves life, who has a _____ personality

a. lovely

b. lively

c. alive

d. living

III. Cloze (25%)

( A )

Everything lives with opposite forces. The same can be said about modern technology, such as __51___.

At first glance, Internet _52____ us excitement and a world of promise. Frankly speaking, people who have some ideas of it ___53__ deny the merits(优点)born with the system. For instance, it can improve efficiency in scientific research, for __54___ it scientists and researchers can get a global look at the __55___ development in the field concerned and accordingly they need to spend __56__ time doing what has already been done. In view of personal communication, the most __57___ means could be peculiar to Internet, too.

While people speak _58____ of Internet, its drawbacks(弊端) shouldn’t be neglected. Sometimes, a __59___ fatal breakdown of the system, or a disastrous ___60__ could bring us an enormous amount of damage and loss. Meanwhile, __61___ Internet’s replacement of books or the written work as the main __62___ of information, human’s writing abilities are __63___. However, every country on this planet should work hard to develop the system to serve us __64__ efficiently and comfortably, __65__in the net all countries are interrelated.

51. a. computer b. Internet c. network d. TV

52. a. offers b. provides c. affords d. lets

53. a. can b. may c. can not d. may not

54. a. out of b. by means of c. in case of d. in honor of

55. a. latest b. late c. later d. latter

56. a. some b. few c. no d. more

57. a. hard b. convenient c. different d. difficult

58. a. highly b. high c. low d. lower

59. a. no b. few c. more d. little

60. a. errors b. mistakes c. error d. wrong

61. a. with b. to c. for d. of

62. a. resource b. source c. origin d. cause

63. a. weaken b. weak c. weakened d. weakening

64. a. more b. better c. less d. best

65. a. although b. because c. if d. as

( B )

I have never met a successful per son who wasn’t 100% prepared. Once you realize the advantage that exceptional __66___ gives, it becomes a lifelong habit.

Ivan Lendl is a typical example. He has thought about every side to his game, _67___ it is playing plan against an opponent, or his diet, or fitness program. But what really __68____ me was when he told me he also knew the airline and flight number he was taking to the city in question. That is the way he __69___ everything. It is one element that has made him a champion.

One reason ma ny of us aren’t prepared is that we rarely appreciate it. And if anyone does find out we have prepared carefully to make certain we __70___ our goal, we may well be laughed at. In fact, many people are afraid to be prepared: if they are, they lose an excellent _71____when they fail.

In sport, you meet athletes who let it be known they are not in top condition for a competition. It __72___ the pressure. If they lose, they were not at their best. If they win, they go beyond everyone’s __73___. This is a classic 50% solution: you win some, you lose some. Then there are the people who do their preparation in public. They constantly tell you how hard they are working. That way, if they fail, it is not because they did not try. This is the 75% solution: prepare well, give it your best, let things turn out as they will.

The very best performers, __74___ , spend hidden hours to make sure that they are No. 1. They don’t need or want the world to see them sweat. This is the 110% solution: First determine the __75.__ result. Then calculate your effort.

66. a. chance b. possibility c. preparation d. ambition

67. a. whether b. when c. whatever d. if

68. a. amused b. delighted c. astonished d. confused

69. a. works out b. deals with c. gets to d. acts as

70. a. acquire b. achieve c. possess d. have

71. a. reason b. explanation c. prediction d. excuse

72. a. relieves b. releases c. rejects d. regulates

73. a. expectations b. wishes c. ideas d. opinions

74. a. yet b. however c. besides d. furthermore

75. a. desired b. acquired c. admired d. prepared

IV: Reading Comprehension (23%)

( A )

When I was a schoolboy sixty years ago, we had two prizes in our school. One for good spelling, and the other for amiability(友好). These prizes were thin, smooth, silver disks about the size of a dollar. On one were the words “Good Spelling”, and on the other, “Amiability”.

The holders of these prizes hung them about the neck with a string. Those holders were the envy of the whole school. There wasn’t a pupil that wouldn’t have given a leg to be allowed to wear one of them for a week. But no pupil ever got a chance except John RoBards and me. Good spelling was my one accomplishment. John RoBards was extremely amiable. He always wore the other medal.

That wor d “always” is a bit strong. We lost the medals several times. It was because they became so monotonous(单调). We needed a change—therefore several times we traded medals. It was a satisfaction to John RoBards to seem to be a good speller—which he wasn’t. And it was a satisfaction to me to be amiable, for a change. Of course these changes would not last long. Some schoolmate or other would presently notice that we had traded and would report this to the teacher.

The teacher took the medals away from us at once, of course. But we always had them back again before Friday afternoon when the teacher came to look over the week’s record.

Friday afternoon always closed with a “spelling down”. Being in disgrace, I necessarily started at the foot of my division of spellers. But I always stood with the medal around my neck when the contest was finished.

76. The prizes mentioned in the passage______.

a. were computer disks

b. bore both: Good Spelling” and “Amiability”.

c. were coin-shape medals

d. were each worth one dollar

77. The teacher took away the prizes from the author and John RoBards because _____.

a. they wanted to sell the prizes

b. they exchanged the prizes

c. they behaved badly

d. they came to be over proud

78. We can learn from the passage that ______.

a. the teacher did not like whether John or the author

b. John and the author were good friends

c. John and the author both cheated in winning the prizes

d. John and the author were often a focus of attention in the school

( B )

The majority of your readers must have been surprised and shocked to read a letter from Mr. Hogg, published in last Wednesday’s Herald. Mr. Hogg seems to think that his own convenience

and that of motorists in general are the only things that matter in our city.

I would have more sympathy with Mr. Hogg if he limited himself to making constructive suggestions to improve the situation. No doubt his problems would be partly solved if the local authorities built a multi-storey car park in the park in the city centre, instead of encouraging motorists to use public transport. All the same, judging from the tone of Mr. Hogg’s letter, I suspect that motorists who are so careless of pedestrians’ (行人) safety that they would rather park their cars on the pavement than hold up the traffic would probably be too lazy to use a multi-storey car park if they had to walk a few hundred yards to their destination afterwards.

My main reason for writing, however, is much more important. Is Mr. Hogg aware that according to figures issued by the Department of Transport, 13, 000 people were knocked down in Britain last year because of cars being illegally parked either on the pavement or on crossings? In fact, although the total pedestrian casualty(伤亡事故) rate has fallen over the last ten years, there has been an increase in accidents caused when pedestrians have to step out into the road to avoid parked cars on the pavement and cannot see coming traffic.

I, for one, cannot share Mr. Hogg’s view that the authorities are prejudiced against “long-suffering motorists”. On the contrary, I think the penalties (处罚) for the dangerous parking should be made severe enough to prevent all motorists from breaking the law in this way.

79. From this letter we can infer that Mr. Hogg thinks ______.

a. motorists should be encouraged to use public transport.

b. a multi-storey car park should be built in the city center.

c. the authorities should try their best to prevent traffic accidents.

d. pedestrians are too careless when they walk across the street.

80. The writer of this letter thinks that ______.

a. to build a car park in the city is of no use.

b. motorists should not neglect pedestrians’ safety.

c. most motorists are lazy, careless and selfish.

d. regulations should be made to punish motorists in general.

81. Which of the following statements is TRUE?

a. 13,000 people were killed in traffic accidents in Britain last year.

b. Traffic accidents rate has fallen in the past ten years.

c. A lot of pedestrians were knocked down due to motorists' illegal parking.

d. Accidents involving pedestrians has increased sharply over the last years.

82. Which of the following things can Mr. Hogg have done?

a. Parking his car on the pavement or on crossing.

b. Having trouble in finding a car park in the city centre.

c. Having been fined for illegal parking.

d. a, b and c

( C )

The oldest stone building in the world are the pyramids. They have stood for nearly 5, 000 years and it seems likely that they will continue to stand for thousands of years yet. There are over eighty of them scattered along the banks of the Nile, some of which are different in shape from the true pyramids. The most famous of these are the “Step” pyramid and the “Bent” pyramid.

Some of the pyramids still look as much alike as they must have been when they were built

thousands of years ago. Most of the damage suffered by the others has been at the hands of men who were looking for treasure or, more often, for stone to use in modern buildings. The dry climate of Egypt has helped to keep the pyramids in good condition, and their very shape has made them less likely to fall into ruin. These are good reasons why they can still be seen today, but perhaps the most important is that they were planned to last forever.

The “Step” pyramid had to be on the west side of the Nile, the side on which the sun set. This was for spiritual reasons. It also had to stand well above the level of the river to protect it against the regular floods. It could not be too far from the Nile, however, as the stones to build it needed to be carried in boats down the river to the nearest point. Water transport was, of course, much easier than land transport. The builders also had to find a rock base, which was not likely to crack under the great weight of the pyramid. Finally it had to be near the capital, or better still, near the king’s palace so that he could visit it easily to personally check the progress being made on the final resting place for his body.

83. According to the passage, the “Step” pyramid _______.

a. is unlikely to fall into ruin in the near future.

b. was built on the sands along the Nile

c. is the one that was built later than the true pyramids.

d. is the most famous of the true pyramids

84. The most important reason why some pyramids remain in good condition is that _____.

a. people have taken care of them.

b. i t doesn’t rain often in Egypt.

c. they were well designe

d.

d. the government has protected them from damag

e.

85. The Egyptians built the pyramids along the banks of the Nile because _____.

a. they believed in their god.

b. it was difficult to find a large rock base far from the Nile.

c. the river helped a lot in the transport of building materials.

d. it was not easy to choose a suitable place for the pyramids.

(D )

Our success in business, sports, friendship, love—nearly everything we attempt—is largely determined by our own self-image. People who have confidence in their personal worth seem to be essential for success and happiness. Good things drop into their hands regularly, their relationship are long-lasting, their projects are usually carried to completion. To use the image an Engli sh writer created, they “catch job on the wing”.

Opposite to that, some people seem to hold attraction for failure and unhappiness. Their plans go in a wrong manner, they have a way of destroying their own potential success and nothing seems to work out for them. For such persons, their problems usually have as origin a difficulty with self-acceptance. When they gain more confidence through others’ help, often their troubles take care of themselves.

It is believed that anyone can change his self-estimation. A person with low self-image is not necessarily limited to a life of unhappiness and failure. It is possible to get rid of negative attitudes and gain the healthy confidence needed to realize one’s dream.

86. The word “ image” used in line 4 means _____

a. life like drawing of something

b. picture formed in one’s mind

c. reproduction of an object

d. something imagined

87. According to the passage, high self-image helps one _____.

a. to become healthier and better looking

b. to enjoy one’s life like flyi ng with wings

c. to maintain a negative attitude towards things around

d. to win success in one’s life and work.

88. It is implied in the passage that ______.

a. one’s self-image is something unchangeable

b. being attractive is very important in making friends with others.

c. not everyone can benefit from an improvement of his self-image

d. a person with high self-image has much confidence in his own future

89. What could be the best title for the passage?

a. Happiness or Failure

b. Success and Self-image

c. Difficulties in Improving Self-Acceptance

d. Attitude towards Life

( E)

For four centuries Germany has enjoyed a tradition of governmental support of the arts. Before the founding of the German Empire in 1871, many small kingdoms supported the arts. They established theatres, museums and libraries, and their leaders acted as the sponsors to poets, writers, painters and performers. The organizations were thus founded and the convention of generous public support has continued uninterrupted to the present.

Germany’s cultural life surprised foreigners. In the Federal Republic a few hundred theatres are financed by the federal government, the states and the cities, in addition to the many privately financed theatres. Unlike the United States, Britain and France, in which theatre is more often than not centered in one city, no one city in Germany dominates over the others. Also, productions in Vienna and in Zurich are significant to the artistic life of the Federal Republic, and artists and resources move easily and freely among the theatrical and operatic companies within the German-speaking regions. Only in Vienna, the capital in which the arts arouse(引起)far greater passions than do politics, does theatre have a broader audience base than in Germany. Audiences in Germany are not limited to the most cultured class or very important people but are drawn from all ranks of society. Season tickets, group arrangements, group tickets bought by business firms and theatre clubs make up the major funds of such production companies as the People’s Independent Theatre, dating from 1890 in Berlin. Going to the theatre or opera in Germany is about as affordable and as unremarkable as attending the cinema elsewhere.

90. Another word for “convention” will be ______.

a. organization

b. sponsor

c. tradition

d. arrangement

91. What is one of the reasons that Germany’s cultural life surprises foreigners?

a. because it is enjoyed by almost all the people of the country.

b. because it is better than that of most European countries.

c. because German plays are often performed in Germany.

d. because it is very cheap to go to the theatre in Germany.

92. From this passage we learn that the Germans ______.

a. often go to Vienna and Zurich to watch plays

b. often go to watch plays in German-speaking countries

c. show great interest in the artistic events in Vienna

d. admire Vienna’s arts more than those of their own country

93. The last sentence of the passage tells the reader that ______.

a. German theatres are not as interesting as cinema elsewhere

b. the Germans seldom go to the cinema

c. the Germans often go to the theatre or opera

d. cinema has never been popular in Germany

( F)

Read the following text and choose the most suitable heading from A-F for each paragraph. There

After four years, the time has come. In less than two weeks, I will have graduated. I look back now and I can't believe how fast it all went. I can still remember the first day of classes, looking on the map on the back of the Schedule of Classes and asking where the classroom building was. Now I'm a senior, looking at freshmen with envy. Every day I wish I could freeze time, and make the next two weeks go more slowly. I know a lot of people who can't wait to graduate, but for me it's the opposite. I want to turn back time instead and cherish every day of my college experience once again.

95. ____________

For me, college has been a great learning experience, and most of the learning process has taken place outside of the classroom. My second year of college was perhaps the most remarkable year of my life. This was the year that I finally convinced my mom that I was going to be OK living on campus, and she finally let me go. This was the year that I made some lifelong friends, and through many triumphs and failures I came to know more about myself. My second year involved experimenting with new things, such as camping in mountains, attempting to present some lousy poems to newspapers and drawing cartoons of my teachers in class.

96. _____________

As I walk down the familiar routes on campus, I find myself doing a lot of soul-searching and reminiscing. I find myself wanting to start all over again and recapture the fun and excitement of my college days. I have been panicking at the idea of graduating. I have been going to school for as long as I can remember, and I feel like there is so much more that I want to learn, but instead I have to graduate. The world is enormous and the possibilities are endless. For the past four years I have been surrounded with a safety net. The student status has been a somewhat comforting feeling, giving me an escape from the realities of the world outside.

97. _____________

With less than two weeks left of school, I'm getting a queasy feeling deep down every time I think about the fact that I'm going to be graduating. For as long as I can remember, I have been a student. I feel like I'm living in denial about graduating. Every time I get asked about what I'm going to do after college I feel like screaming at the top of my lungs. I don't know what I want to do with the rest of my life. It's too difficult to even contemplate the idea that soon I will be waking up in the mornings and not have a class to which I should be going.

98. ______________________________

On a recent interview, I was asked, "Is this the profession you want for the rest of your life?"

I was amused and almost laughed at the question, but I gave an honest answer. I don't know what the future holds. During the last four years I have changed my mind so many times, the idea of a lifetime commitment to a certain job seems like torture.

V. Translation: (15%)

99. 这家书店的杂志价格从5到15元不等。(range)

100. 我们的数学老师很有幽默感,他的课很受学生的欢迎。(popular)

101.那些世代相传的故事仍然吸引着各个年龄层次的人。(pass)

102.在过去的2个月里,他一直在照料那些身患SARS的人。(infect)

103.是否这些措施能改善工人的工作条件还要留待后看。(remain,improve)

全国百强校教师原创上海交大附中学高一上学期数学精品教学案 : 命题的形式及等价关系一

一、概念课 【教案样例】 教学目标: 1.知道命题、真命题、假命题,理解命题的推出关系、等价关系,推出关系的传递性; 2.在探究命题推出关系的过程中,体会举反例判断假命题的要领,初步会用推出关系的传递性证明一个命题是真命题的方法; 3.在认识一些基本的逻辑关系及其运用活动中,体会逻辑语言在数学表达和论证中的作用, 确立真命题必须作出证明的数学意识. 教学重点:理解命题的推出关系. 教学难点:运用逻辑语言表述和判断假命题、论证真命题. 教学过程: 2.概念形成:(教学提示:这一环节可采用教师引领下的学生阅读教材或学生阅读教师呈现的PPT 素材,教师引导学生举反例判断假命题用逻辑语言论证真命题,激发学生积极思考、参与教学的热情) (1)命题的构成:在数学中常见的命题由条件与结论两部分组成. 如命题“如果2x >,那么24x >”,其中2x >是条件,2 4x >则是结论. 2x y +=,但不满足命题结论11x y ≥≥且.

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2021年上海市上海交通大学附属中学毕业考数学试题 学校:___________姓名:___________班级:___________考号:___________ 一、填空题 1.函数()f x =的定义域为______. 2.双曲线22312x y -=的两渐近线的夹角大小为______. 3.用行列式解线性方程组2710 x y x y +=??-+=?,则y D 的值为______. 4.湖面上浮着一个球,湖水结冰后将球取出,冰上留下一个直径为24cm ,深为8cm 的空穴,则这球的半径为______cm . 5.直线240x y +-=经过抛物线22y px =的焦点,则抛物线的准线方程是______. 6.已知函数()sin y x ω?=+(0>ω,02π?<≤ )的部分图像如图所示,则函数解 析式为_______. 7.设函数36log (1),6,)()3,(,6) x x x f x x --+∈+∞?=?∈-∞?的反函数为1()f x -,若11()9f a -=,则(4)f a += . 8.二项展开式7(23)x +中,在所有的项的系数、所有的二项式系数中随机选取一个,恰好为奇数的概率是______. 9.在平面直角坐标系xOy 内,曲线|1||3|||7x x y ++-+=所围成的区域的面积为______. 10.已知梯形ABCD 中,12 AD DC CB AB ===,P 是BC 边上一点,且AP xAB y AD =+,当P 在BC 边上运动时,x y +的最大值是___________

11.求方程2sin sec tan 10x x x -+-=在[0,2]x π的解集______. 12.已知底面为正方形且各侧棱长均相等的四棱锥V-ABCD 可绕着AB 任意旋转,AB ? 平面α, M 是CD 的中点,2,AB VA ==点V 在平面α上的射影点为O ,则OM 的最大值为_______ 二、单选题 13.下列以t 为参数的方程所表示的曲线中,与曲线1xy =完全一致的是( ) A .12 12x t y t -?=???=? B .1x t y t ?=??=?? C .cos sec x t y t =??=? D .tan cot x t y t =??=? 14.已知无穷数列{}n a 是公比为q 的等比数列,n S 为其前n 项和,则“0||1q <<”是“存在0M >,使得n S M <对一切n *∈N 恒成立”的( )条件 A .充分不必要 B .必要不充分 C .充要 D .既不充分也不 必要 15.已知z 均为复数,则下列命题不正确的是( ) A .若z z =则z 为实数 B .若20z <,则z 为纯虚数 C .若|1||1|z z +=-,则z 为纯虚数 D .若31z =,则2z z = 16.直线l 在平面上α,直线m 平行于平面α,并与直线l 异面.动点P 在平面上α,且到直线l 、m 的距离相等.则点P 的轨迹为( ). A .直线 B .椭圆 C .抛物线 D .双曲线 三、解答题 17.如图,在正三棱柱111ABC A B C -中,1AA =114A B =,D 、E 分别为1AA 与11A B 的中点. (1)求异面直线1C D 与BE 所成角的大小; (2)求四面体1BDEC 的体积.

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