2018-2019学年上海复旦附中高一上英语单元测试
Test for Unit One（Oxford English BookⅠ）
（Duration 40 minutes: Score Range:0-100）
Ⅰ. Grammar and Vocabulary(25/100)
1. Patients must be _____ when they are in hospital for the recovery from their illness.
A. taken good care
B. taken good care of
C. paid attention
D. paid to attention
2. Secretaries whose jobs mainly involve writing, ______ phone calls and receiving visitors usually work in offices.
A. answering
B. answer
C. having answered
D. to answer
3. Your body language is the key _____ communication, so proper gestures and postures play a crucial role in our daily life.
A. on
B. to
C. with
D. in
4. Debbie and Simon looked up at the well-dressed lady when she ____ the office and she looked at ___.
A. arrived at…both them
B. came into…both them
C. entered…them both
D. went in…them both
5. The way _____ you move and carry yourself communicates a wealth of information to the world.
A. /
B. in where
C. in that
D. which
6. You are not polite enough. When you serve customers, you don’t turn your head ____ your body towards them.
A. either
B. or
C. not
D. neither
7. In most cases, a parent’s behavior matters ____ more than ____ he or she says.
A. very…that
B. much…what
C. far…which
D. still…how
8. Customers preferred ____ Debbie rather than turn to Simon for ___.
A. going to…assistance
B. going to…remarks
C. to go to…assistance
D. to go to…remarks
9. I am now worried about my English presentation, I always have some trouble ___ a good impression ___ front of others.
A. to make…on
B. making…on
C. to make…in
D. making …in
10. A lack of eye contact might be thought of as a lack of _____ in some western countries.
A. boredom
B. hostility
C. interest
D. confusion
11. This boy is very ____ and every morning he _____ me by saying“Good morning”.
A. well-mannered…contacts
B. well-educating…contacts
C. well-mannered…greets
D. well-educating…greets
12. All the passengers on board sighed with ____ when the captain announced that he had solved the mechanical problems ___ the engine.
A. relief…for
B. relief…with
C. grief…for
D. grief…with
13. My business partner is senior ____ me _____ two years.
A. to…by
B. to…for
C. by…to
D. by…for
14. As old man was sitting in the sun peacefully with a thick pair of glasses ____ on his nose.
A. fixing
B. putting
C. laying
D. resting
15. The nurse insisted that the patient should _____ the medicinal cream ____ his would twice a day to avoid
infection.
A. apply…to
B. rinse…in
C. loosen…to
D. stress…in
16. Don’t worry, I won’t tell your mother you’ve been punished in school. You see, ____.
A. It’s none of your business
B. I feel on top of the world
17. This exhibition brings together portraits, figure studies and anonymous snapshots to help visitors explore the
wildly ___ nature of the human face.
A. balanced
B. expressive
C. frequent
D. ordinary
18. A smile can help you out ____ many situations where language seems ___.
A. of…adequate
B. of…inadequate
C. in…adequate
D. in…inadequate
19. At a job interview, your appearance is _____ the clothes you wear; it also includes projecting the correct ___
communication.
A. more than…non-verbal
B. other than…non-verbal
C. more than…verbal
D. other than…verbal
20. A red light is often used as a danger ____.
A. sign
B. signal
C. signature
D. symbol
21. Eye contact is also important in ____ the flow of conversation and for ___ the other person’s response.
A. judging…maintaining
B. judging…ensuring
C. maintaining…judging
D. maintaining…ensuring
22. Pounding the table, for example, can underline a(n) ____ message.
A. subtle
B. universal
C. easy
D. important
23. These cheese cakes are delicious, but they cost an arm and a leg. The underlined part means ___.
A. are very expensive
B. are harmful to your body
C. are not readily available
D. are not liked by everyone
24. A straight bob ending at the jaw line is the wrong thing to do for a _____ face, for it accentuates the angles of
the face.
A. heart-shaped
B. oval
C. square
D. long
25. Which of the following sentence is WRONG?
A. My money was robbed on my way home.
B. I was robbed of my cash.
C. A cat robbed me of my sleep this afternoon.
D. The bank was robbed last night.
Ⅰ. Reading Comprehension（54/100）
Section A（30/100）
You are watching a film in which two men are having a fight. They hit one another hard. ___26___ they only fight with their fists. But soon they begin hitting one another over the heads with chairs. And so it goes ___27___ until one of the men crashes ___28___ a window and falls thirty feet to the ground below. He is dead! ___29___ he isn’t really dead. With ___30___ luck he isn’t even hurt. Why? Because the men who fall out of high windows or jump from fast moving trains, who crash cars of even ___31___ fire, are professionals. They do this for a living. These men are called stuntmen. That is to say, they ___32___ tricks. There are two ___33___ to their work. They actually do most of the things you see on the screen. For example, they fall from a high building. However, they do not fall on to hard ground but on to ___34___ cardboard boxes covered with a mattress. Again, when they hit one another with chairs, the chairs are made of soft wood and when they break windows, the glass is made of sugar! But although their work depend on trick of this sort, it also requires a high ___35___ of skill and training. Often a stuntman’s success depends on careful ___36___. For example, when he is “___37___ up” in a battle scene, he has to jump out of the way of the explosion just at the right moment.
Naturally stuntmen are well paid for their work, but they lead dangerous lives. They often get seriously injured, and sometimes killed. A Norwegian stuntman, ___38___, skied over the ___39___ of a cliff a thousand feet high. His parachute failed to open, and he was killed. In spite of all the risks, this is no longer a profession for men only.
are stuntgirls too.
26. A. As a result B. On one hand C. At the start D. In the end
27. A. on B. off C. out D. in
28. A. under B. through C. against D. behind
29. A. Maybe B. Therefore C. Of course D. What’s more
30. A. no B. any C. little D. few
31. A. set B. catch C. watch D. extinguish
32. A. perform B. follow C. understand D. crack
33. A. advantages B. disadvantages C. lines D. sides
34. A. tidy B. pretty C. nasty D. empty
35. A. speed B. spirit C. degree D. demand
36. A. time B. timing C. measure D. measuring
37. A. raised B. brought C. cheered D. blown
38. A. in fact B. for example C. to be exact D. by contrast
39. A. ladder B. face C. edge D. wall
40. A. look on as B. show off C. dress up D. turn down
Section B(24/100)
（A）
Have you ever had the experience of talking to someone and you think they are lying? Well, you are not alone. We’ve all had that feeling. But did you know that there are several things you can look for to see if you are being lied to?
Sometimes you can tell if a person is lying by observing what they do with their body. When people are lying they tend not to move their arms, hands or legs very far from their body. They don’t want to take up very much space because they don’t want to be noticed. Sometimes a person who is lying will not look you in the eyes. Other times people who lie try to look at you in a strong way because they want to convince you they are telling the trugh. Liars also use deflection. For example, if you ask a liar the question“Did you steal Fatima’s bag?”they may answer with something like“Fatima is my friend. Why would I do that?”In this situation the person is telling the truth, but they are also not answering the question. They are trying to deflect your attention. Liars may also give too many details. They may try to over-explain things. They do this because they want to convince you of what they are saying.
Often when a person is lying, they do not want to continue talking about their lie. If you think someone is lying, quickly change the subject. If the person is lying, they will spear more comfortable because they are not talking about their lie any longer. A little later, change the subject back to what you were talking about before. If the person seems uncomfortable again, they may be lying.
It’s very hard for a liar to avoid filling silence created by you. He or she wants you to believe the lies being woven; silence gives no feedback on whether or not you’ve bought the story. If you’re a good listener, you’ll already be avoiding interruptions, which in itself is a great technique to let the story unfold.
Just because a person is showing these behaviors, it does not mean they are lying. They might be shy or nervous. But, if you think someone is lying, you might want to use some of these techniques. Hopefully, you won’t need to very often.
41. According to the passage, a person could be lying he or she _____.
B. appears to be shy or nervous
C. changes the subject of the conversation
D. speaks very fast and vaguely
42. Which of the following can be learned from the passage?
A. Liars always try to avoid direct eye contact when they tell lies.
B. We can make people lie by changing the subject in a conversation.
C. Liars are often expansive in hand and arm movements while talking.
D. We make liars uncomfortable by giving no feedback in a conversation.
43. The passage mainly talks about ____.
A. who deceives us
B. why people tell lies
C. how to detect lies
D. what to do with liars
（B）
A person , like a commodity, needs packaging. But going too far is absolutely undesirable. A little exaggeration, however, does no harm when it shows the person’s unique qualities to their advantages. To show personal attractiveness in a casual and natural way, it is important for one to have a clear knowledge of oneself. A skilled packager knows how to add art to nature without any signs of embellishment, so that the person so packaged is not a commodity but a human being, lively and lovely.
A young person, especially a female, shining with beauty and full of life, has all the favor granted by God. Any attempt to make up would be self-defeating. Youth, however, comes and goes in a flash. Packaging for the middle-aged is primarily to hide the marks made by years. If you still enjoy life enough to keep self-confidence and work at pioneering work, you are unique in your natural qualities, and your attractiveness and grace will remain. Elderly people are beautiful if their river of life has been, through plains, mountains and jungles, running its course as it should. You have really lived your life, which now arrives at a self - satisfied stage of quietness and calmness with no interest in fame or wealth. There is no need to make use of hair dyeing. The snowcapped mountain itself is itself a beautiful scene of fairyland. Let your looks change from young to old in step with the natural ageing process so as to keep in harmony with nature, for harmony itself is beauty, while the other way round will only end in unpleasantness.To be in the company of the elderly is like reading a thick book of (better quality) edition, which attracts one so much that one is unwilling to part with it.
As long as one finds where one stands, one knows how to package oneself, just as a commodity sets up its brand by the right packaging.
44. It can be concluded from the passage that ____.
A. people should be packaged at all ages
B. people should be packaged in a special way
C. elderly people also care about packaging
D. proper packaging makes people attractive
45. According to the author, if you want to keep in harmony with nature, you should ____.
A. dye your hair
B. wear makeup at a young age
C. follow the aging process
D. give up fame and wealth
46. The underlined part refers to the way of ____.
A. dyeing one’s black hair white
B. keeping in harmony with nature
C. packaging oneself skillfully
D. packaging oneself to hide the traces of aging
47. The passage implies that elderly people are attractive because ____.
A. they are usually packaged like a finely-made book
B. they experience a lot and have rich knowledge of life
C. they are unique in natural qualities
D. they enjoy reading thick books of beautiful nature and fairyland
Section C
Read an except from the novel The Boy in the Striped Pyjamas and put the description of body language in
their places standing side by side by the staircase and Mother waited beside them, ___48___. Father gave them all a quick glance and nodded, looking pleased by what he saw, and then opened the door.
Two people stood outside: a rather small man and a taller woman.
Father saluted them and ushered them inside, where Maria, ___49___, took their coats and the introductions were made. They spoke to Mother first, which gave Bruno an opportunity to stare at their guests and decide for himself whether they deserved all the hiss being made of them.
The Fury was far shorter than Father and not, Bruno supposed, quite as strong. He had dark hair, which was cut quite short, and a tiny moustache—so tiny in fact that Bruno wondered why he bothered with it at all or whether he had simply forgotten a piece when he was shaving. The woman standing beside him, however, was quite the most beautiful woman he had ever seen in his life. She had blonde hair and very red lips, and while the Fury spoke to Mother she ___50___, making him go red with embarrassment.
“And these are my children, Fury,”said Father as Gretel and Bruno stepped forward.“Gretel and Bruno.”“And which is which?”the Fury said, which made everyone laugh except for Bruno, who thought it was perfectly obvious which was which and hardly cause for joke. The Fury stretched out his hand and shook their and Gretel ___51___. Bruno was delighted when it went wrong and she almost fell over.
“When charming children,”said the beautiful blonde woman.“And how old are they, might I ask?”
“I’m twelve but he’s only nine,”said Gretel, looking at her brother with disdain.“And I can speak French too,”she added, which was not strictly speaking true, although she had learned a few phrases in school.
“Yes, but why would you want to?”asked the Fury, and this time no one laughed; instead they ___52___ and Gretel stared at him, unsure whether he wanted an answer or not.
Ⅰ. Recitation（5/100）
Complete the two paragraphs taken from Eye Contact in the More Reading section of Unit one.
In many Asian cultures, ___53___ shows respect. It is done when talking with anyone ___54___ or with anyone older.
Habits like this can ___55___ when people do not understand them. ___56___. an Asian might close his eyes ___57___ or look down while listening to a speaker. A Western speaker might think the man is not interested.
Ⅰ. Translation（16/100）
58. 缩小代沟的最佳方法便是提升你的沟通技能。（way）
59. 正当我兴致勃勃地向那个穿制服的女孩走过去时，她却瞥了我一眼然后转开了身。（while）
60. 尽量避免在公众场合用手机大声打电话，因为那会被认为是粗鲁的行为。（consider）
61. 老师常常提醒我们在遇到困难时要毫不犹豫地向她求助，她也总能使我们感到自己是受欢迎的。
（remind）
参考答案
I. Grammar and Vocabulary
1-5 BABCA 6-10 BBCD C 11-15 CBADA 16-20 C BDAB 21-25 CDABA
26-30 CABCB 31-35 BACDC 36-40 BDBCC
41. A 42. D 43. C
44. D 45. C 46. B 47.B
48. E 49. B 50. D 51. A 52. C
53. avoiding eye contacts, 54. in authority
55. cause problems , 56. for instance, 57. in concentration
58. The best way to narrow the generation gap is to improve your communication skills.
59. While I was heading for the girl in uniform cheerfully, she glanced at me and turned away.
60. Try to avoid speaking loudly by phone in public, because it can be considered as rude behavior.
61. The teacher always reminds us to turn to her for help whenever we are faced with difficulties, and she also makes us feel welcomed.
复旦附中自主招生英文试题
2012上海复旦附中自主招生英语试题(1) 摘要：上海复旦附中自主招生英语试题 31.They are fed up _______the old routine. A. with B. of C. at D. on 32.He is such a(n) _______teacher that has devoted all his and energy to his students. A. conscientious B. conscious C. academic D. scientific 33.We are looking for someone with a real sense of_______ to the job. A. committee B. commitment C. community D. commission 34.Since you are_______ to the seafood, you’d better avoid eating it. A. sensible B. sentimental C. sensitive D. sensory 35.During the celebration, fireworks have been_______ at the bay. A. set out B. set about C. set 36.There are fewer working hours in the executive jobs, _______the job stress is comparatively higher. A. that B. where C. which D. what 37.They declared the war, for they believed that country had_______ the weapons of mass destruction. A. liberated B. countered C. approved D. proliferated 38.The journalist reported the_______ of children labors who had worked many days on end. A. expansion B. expedition C. exploitation D. exploration What is the thing called happiness? For centuries, people were too busy pursuing it 39 much time analyzing it. Now a pioneering band of researchers has finally bagged the elusive quarry or at least taken its measure. Using such sophisticated new tools 40 the five-item Life Satisfaction Scale and the seven-point Delighted-terrible Scale (On a scale of one to seven, how do you feel about your life?),social psychologists have plumbed the heart of happiness. And their answer to the age-old 41 is that it all depends. Happiness, that is, 42 what makes. you feel happy, which is why psyc1hologists often call it―subjective well-being.‖ But from studies of various age and population groups in the United States and abroad, they have reached some 44 at the top of the charts is not, as many might expect, success, youth, good looks or any of those 45 assets. The clear winner is relationship, close ones, followed by happy marriage. Supportive, intimate connections with other people seem 46 important. Using simple survey questions, psychologist David Myers found that the 47 happy people are those in unhappy marriages. Happiest are those who married 48 their ―best friend.‖39. A. to spend B. spending C. has spent D. have spent
复旦附中2018学年第一学期高一上期中考卷
复旦附中2018学年第一学期高一年级 数学期中考试试卷 考试时间：120分钟，满分150分，请将答案写在答题纸上 一、填空题（满分54分，1-6题每题4分，7-12题每题5分） 1. 集合{}?的元素个数是_________ 2. 已知()f x = (2)f x -的定义域是__________ 3. 命题“若3x >或2y >，则2 2 4x y +>”的逆否命题是________________________ 4. 函数4 y x x =+ （0x >）的递增区间是____________ 5. 已知()f x 是定义在上的奇函数，若0x <时，()(2)f x x x =-，则0x >时()f x = __________ 6. 若关于x 的方程22 (1)4(1)10a x a x -+++=无实根，则实数a 的取值范围是__________ 7. 函数221()()1 x f x x ++=的值域为_______________ 8. 已知正实数,x y 满足xy y x =+2，则y x +2的最小值等于 9.设集合,A B 是实数集 的子集，[1,0]A C B ?=-，[1,2]B C A ?=， [3,4]C A C B ?=，则A =___________ 10. 已知定义在 上的奇函数()f x 在[0,)+∞上递增，则下列函数（1）|()|f x ，（2）(||)f x （3） 1 () f x ，（4）()()f x f x -，中在(,0)-∞上递减的是____________ 11. 设函数1(| )2|x f x x += ,区间[,]M a b =（a b <），集合{(),}N y y f x x M ==∈，则使得M N =的实数对(,)a b 有________对 12. 对任何有限集S ，记()p S 为S 的子集个数。设{1,2,3,4}M =，则对所有满足 A B M ??的有序集合对(,)A B ，()()p A p B 的和为_____________
上海市复旦附中2018-2019学年高一上学期开学考英语试题
温馨提示：多少汗水曾洒下，多少期待曾播种，终是在高考交卷的一刹尘埃落地，多少记忆梦中惦记，多少青春付与流水，人生，总有一次这样的成败，才算长大。高考保持心平气和，不要紧张，像对待平时考试一样去做题，做完检查一下题目，不要直接交卷，检查下有没有错的地方，然后耐心等待考试结束。 I. Choice 复旦附中 2018-2019学年高一开学考考卷题型分析 复旦附中高一英语练习单选分析 1.Rather than read the science fiction alone in the classroom he preferred the performance put on by the American student’s choir. A.watching B. watch C. having watched D.to watch 【考点分析】答案选D,考察p refer to do sth rather than do sth 【核心单词】performance 表演put on 上映表演 2.Eggs in the shopping center are sold . A.by dozen B. by the dozen C. in dozens D. in the dozens 【考点分析】答案选C，考察固定搭配i n dozens 按打计算 【核心单词】in dozens 3.The Chinese government has decided to boycott the imported beef from UK for the purpose of the local citizen from mad cow disease. A.protecting B. preserving C. reserving D. releasing 【考点分析】答案选A，根据词意及句意来回答，protect 保护，preserve 保存， reserve 储备保存，r elease 释放 【核心单词】import 进口，mad cow disease 进口 4. Paper produced every year is the world’s production of vehicles. A. as three times heavy as B. the three time weight of C. three times the weight of D. three times heavier as 【考点分析】答案选C，考察倍数的表达法倍数the n of….. 倍数比较级t han… 倍数a s…as… 【核心单词】produce 产生，vehicle 交通工具 5.Don’t worry about it. My dog will the gate of my house when I am away. A.defend B. protect C. save D. guard 【考点分析】答案选D，根据词意及句意来选择，defend 防卫，protect 保护，save拯救，guard 守卫【核心单词】worry about 担心… 6.He set aside much money for his tuition each month and only a amount of money went to his living expense. A.little B. small C. tiny D. few 【考点分析】答案选B，修饰a mount 只能用l arge/small 【核心单词】set aside 留出
2020-2021学年上海市复旦附中2020级高一上学期1月期末考试数学试卷无答案
2020-2021学年上海市复旦附中2020级高一上学期1月期末考试 数学试卷 ★祝考试顺利★ (含答案) 一?填空题(本大题共12题,满分54分,第1~6题每题4分,第7-12题每题5分)考生应在答题纸的相应位置直接填写结果 1.函数( )()22f x log x = +-的定义域为____. 2.不等式()()2 233131x x ->+的解集为____. 3.函数()()231f x log x =+,[]0,5x ∈的反函数是____. 4.对于实数a,b,c,d,定义a b ad bc c d -= .设函数()()22111log x f x x log --=,则方程()1f x =的解为____. 5.若函数()1 ax f x x =+在区间()0,+∞是严格增函数,则实数a 的取值范围是____. 6.已知函数()241,f x min log x x ??=+???? ,若函数()()g x f x k =-恰有两个零点,则k 的取值范围为____. 7.已知函数()()15||02 f x x x x =+->,则()f x 的递减区间是____. 8.若函数()232x x f x -=+?的图像关于直线x m =成轴对称图形,则m =____. 9.若关于x 的不等式1|2|02 x x m --<在[]0,1x ∈]时恒成立,则实数m 的取值范围为____. 10.已知函数()()()22815f x x x ax bx c =++++是偶函数,若方程21ax bx c ++=在区间[]1,2上有解,则实数a 的取值范围是____. 11.若函数()()2201 x x a f x x x ++=+的值域为[),a +∞,则实数a 的取值范围是____.
复旦附中英语练习汉译英100句
复旦附中英语练习---汉译英100句及参考答案 1.我们大家深受感动，结果把所有的零用钱都给了那个穷男孩。 We were all so moved that we gave all our pocket money to the poor boy. 2.他们夜以继日地工作，为了能按时修建起这座大桥。They worked day and night so that they could build the bridge on time. 3.我认为买一本大的英汉词典很有必要。 I think it necessary to buy a big English-Chinese dictionary. 4.他的话听起来很合理，但是我们不知道他是否说了实话。What he said sounded reasonable, but we wondered if he had really told the truth. 5.我们宁可步行也不愿意挤乘这么拥挤的公共汽车去学校。We would rather go to school on foot than push our way into the crowded buses. 6.他说什么并没有关系，重要的是他怎么干。 It doesn't matter what he says. What is important is how he works. 7.碰巧我带着一张上海地图，因此没有迷路。 It so happened that I had a map of Shanghai with me, so I didn't get lost. 8这己不是我第一次来上海了。我第一次来上海时对所见所闻都觉得有趣。 It's not the first time that I have visited Shanghai. When I came for the first time, everything I saw and heard seemed interesting to me 9.除非你说实话，否则你不会得到我们的帮助。 You won't get our help unless you tell us the truth. 10.你打个电话给她，她马上就会把你所需要的东西送来的。Call her and she will immediately bring you what you need. 11.像那样谈论是没有用的。我们必须制定一个计划，然后加以实施。 It's no use talking like that. We must make a plan and realize it. 12.你真好，提醒了我有个重要的会议。 It's so kind of you to remind me of the important meeting. 13.当我们听到他被选为队长的消息，我们禁不住欢呼起来。We couldn't help cheering up when we learned the news that he had been made captain. 14.如果有必要，我会请人把剩下的票都买下来。 If necessary, I'll have the remaining tickets bought 15.只要你让我管这个孩子，我就会让他用功。 So long as you let me take care of the child, I' II make him work hard. 16.任何不守规则的人都要受到惩罚。 Anyone who doesn't obey the rules will be punished. 17.他们一定挺忙的，因为他们必须准备考试。 They must be very busy, as they have to prepare for the test. 18.你一定丢失了什么东西，不然不会看起来这么焦虑。You must have lost something, or you would not look so worried. 19.据报道，那个国家的军队正在攻击其邻国。 It is reported that the forces of that country are attacking its neighbouring country. 20.你真幸运，你的数学老师被认为是全校最好的老师。You are really lucky to have that maths teacher, who is regarded as the best in the school. 21.直到所有的病人都得到了治疗，医生才离开他的办公室。The doctor did not leave his office till all the patients had been treated. 22.随着上海的发展，上海人民的生活条件已大为改善。With the development of Shanghai, people' s living conditions have been greatly improved 23.有老师们的帮助和鼓励，学生们的进步越来越大。 With the teachers' help and encouragement, the students are making greater and greater progress 24.我从未看到过这么激动人心的足球赛，它比我想象的精彩得多。 I've never watched such an exciting football game. It is much more wonderful than I expected. 25.只有当你理解领会了这种知识，才能把它记住。 Only when you understand this kind of knowledge, can you learn it by heart. 26.他们来上海已经一个半月了，但至今还未找到工作。 It is already one month and a half since they came to Shanghai, but so far they haven't got jobs. 27.过了一个月他才回家，结果他的叔父已经离开了。 It was a month before he returned, only to find his uncle gone. 28.请把书刊放回原处。 Please put the books and magazines where you took. 29.“有志者事竟成”这是一条常见的英语谚语。 "Where there is a will, there is a way," which is a common English proverb. 30.我们除了等待进一步的消息外什么也干不了，尽管我们并不愿意那么做。 We could do nothing but wait for further information, though it is not what we wish to do. 31.但愿我能给你一点帮助，但事实上我自己也只能依靠别
复旦附中高一期末(2019.01)
复旦附中高一期末数学试卷 2019.01 一. 填空题 1. 3()x f x a -=（0a >且1a ≠）的图像经过一个定点，这个定点的坐标是 2. 函数y 的定义域是 3. 研究人员发现某种物质的温度y （单位：摄氏度）随时间x （单位：分钟）的变化规律 是：1222x x y -=?+(0)x ≥. 经过 分钟，该物质温度为5摄氏度 4. 函数(3)4,1()log ,1 a a x a x f x x x --和2log y x =(1)x > D. lg(1)y x =-(1)x >和101x y =+ 14. “1a >”是“函数()(1)x f x a a =-?是单调递增”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
上海复旦附中2017年自招真题数学试卷(word版含答案)
2017年复旦附中自招题 1. 已知a 、b 、c 是一个三角形的三边，则222222444222a c c b b a c b a ---++的值是（ ） A .恒正 B .恒负 C .可正可负 D .非负 解：选B 222222444222a c c b b a c b a ---++ 2222224)(c b c b a ---= )2)(2(222222bc c b a bc c b a ---+--= ])(][)([2222c b a c b a +---= ))()()((c b a c b a c b a c b a --+++--+= ∵a 、b 、c 是一个三角形的三边， ∴0>-+c b a ，0>+-c b a ，0>++c b a ，0<--c b a ， ∴0))()()((<--+++--+c b a c b a c b a c b a 2. 设m ，n 是正整数，满足mn n m >+，给出以下四个结论：① m ，n 都不等于1；② m ，n 都 不等于2；③ m ，n 都大于1；④m ，n 至少有一个等于1，其中正确的结论是（ ） A .① B .② C .③ D .④ 解：选D 由mn n m >+得()()111<--n m 若m ，n 均大于1，则,11,11≥-≥-n m ()()111≥--n m ，矛盾， ∴m ，n 至少有一个等于1。 3. 已知关于x 的方程a x a x +=+2有一个根为1，则实数a 的值为（ ） A .251+- B .251-- C .2 51±- D .以上答案都不正确 解：选A 将1=x 代入，得12+=+a a ， 两边平方，得012=++a a ，2 51±-=a ， 当2 51--=a 时，1=x 不是原方程的根，舍 ∴251+-= a
复旦附中2015级高一上数学期中考试卷
复旦附中2015学年第一学期高一数学期中试卷 2015.11 一. 填空题 1. 函数y =的定义域为 ； 2. 已知,a b R ∈，写出命题“若0ab ≠，则22 0a b ->”的否命题 ； 3. 已知,x y R +∈且2xy =，则当x = 时，224x y +取得最小值； 4. 已知集合3{|1,}1 A x x Z x =≥∈+，则集合A 的子集个数为 个； 5. 已知定义在R 上的函数()f x 为奇函数，且0x >时，2()23f x x x =+-，则当0x <时， ()f x = ； 6. 若函数25()43 kx f x kx kx -=++的定义域是R ，则实数k 的取值范围是 ； 7. 若,a b 为非零实数，则不等式①232a a +>；②4433a b a b ab +≥+；③||a b +≥ ||a b -；④2b a a b +≥中恒成立的序号是 ； 8. 已知定义在R 上的奇函数()f x 与偶函数()g x 满足21()()f x g x x x a += ++(0)a >， 若1()3f x =-，则a = ； 9. 关于x 的方程22||90x a x a ++-=()a R ∈有唯一的实数根，则a = ； 10. 对于任意集合X 与Y ，定义：①{|X Y x x X -=∈且}x Y ?；②()X Y X Y ?=- ()Y X - ，X Y ?称为X 与Y 的对称差；已知2{|2,}A y y x x x R ==-∈，{|3B y y =-≤ 3}≤，则A B ?= ； 11. 已知集合2{|(2)10,}A x x m x x R =+++=∈，且A R +=?，则实数m 的取值范围是 ； 12. 若,a b R ∈，且2249a b ≤+≤，则22a ab b -+的最大值与最小值之和是 ； 二. 选择题 13. 已知函数(1)y f x =-的定义域为[0,1]，则(1)f x +的定义域为（ ） A. [2,1]-- B. [1,0]- C. [0,1] D. [2,3] 14. 给出三个条件：①22ac bc >；② a b c c >；③||a b >；④1a b >-；其中能分别成为a b > 的充分条件的个数为（ ） A. 0 B. 1 C. 2 D. 3
上海复旦附中自主招生英语试题(3)含答案
上海复旦附中自主招生英语试题(3) 1. A.increasingly B.lowering https://www.360docs.net/doc/fd16104822.html,mon D.solutions E.individually F. calling G.dependent H.shortcomings I.consumption J.introduced K.senses A United Nations panel on climate change says global warming is causing extreme weather all over the world and is__41__on governments to come up with new ideas to curb gas emissions. Since much of the air pollution comes from coal-fired power plants,scientists in Denmark are trying to lower their nation’s energy needs with new types of smart streetlights. Our__42__industrialized world needs huge amounts of electrical energy,but our power plants still rely mostly on technology__43__as early as the19th century—coal—powered plants, hydroelectric dams or somewhat never nuclear energy,all of which have their own__44__. But scientists say we can slow down global warming by__45__energy demands for street lights. These__46__features of the world’s urban areas require a lot of electricity. The U.S.Energy Information Administration estimates that in2012,lighting for buildings, streets and highways in the https://www.360docs.net/doc/fd16104822.html,ed about274billion kilowatt hours. In a bid to make Copenhagen the world’s first carbon-neutral city by2025,scientists in the Danish capital are testing a variety of new street lighting technologies. Kim Brostrom is the chief technical officer at the Danish Outdoor Lighting Lab. “We have installed nine kilometers of streets,we have280masts placed here,we have50 different__47__,we have10different management systems,and we have a lot of different sensors and things out in the open area,”said Brostrom. Chief science officer Jakob Andersen says the lights can be managed__48__from a tablet computer or a smart phone. The main goal is to lower energy__49__when the light is not needed.So the lamp brightens up only when it__50__an approaching pedestrian,cyclist or vehicle.Some of them even have a backup wind generator or a solar cell. 2. Diet Coke,diet Pepsi,diet pills,on-fat diet,vegetable diet…We are__51__by the word “diet”everywhere we look and listen.We have so easily been attracted by the promise and__52__ of diet products that we have stopped thinking about what diet products are doing to us.We are paying for products that__53__us psychologically and physically(身体上). Diet products significantly weaken us psychologically.On one level,we are not allowing our brain to__54__that our weight problems lie not in actually losing the weight,but in controlling the__55__of fatty,high-calorie,unhealthy foods.Diet products allow us to jump over the thinking stage and go straight for the scale(秤)instead.All we have to do is to swallow or__56__ the word“diet”in food labels. On another level,diet products have greater psychological effects.Every time we have a
(完整版)历年上海复旦附中自招英语试题及答案解析
1. You should pay attention to the way _____ you stand and sit. A. of B. that C. which D. how 【正确选项】B 【考查内容】定语从句 【试题分析】本题考察the way 后接定语从句的用法。the way 后接定语从句有三种形式： 1.不用引导词； 2.用that 做引导词； 3.用in which 做引导词。本题的考察点是第2 种。同学们根据汉语思维可能误选D。总而言之，同学们对这三种形式一定要牢记！ 2. Lack of eye contact can _____ nervousness. A. signal B. mark C. sigh D. design 【正确选项】A 【考查内容】词语辨析 【试题分析】本题考察高中英语词汇的辨析。根据句子意思：缺少眼神交流可以说明一个人很紧张。A 选项signal 有“表示；表明；预示”的意思，符合题意。B 选项mark 是“做记号，做标记”的意思；C 选项sigh 是“叹气”的意思，单词拼写与signal 类似，同学们可能误选。D 选项design 是“设计”的意思。总而言之，只有A 选项符合题意！ 3. Miss Yang is _____ a good shop assistant because she greets every customer cheerfully. A. looked upon B. regarded C. viewed D. considered 【正确选项】D 【考查内容】词语辨析 【试题分析】本题考察高中英语词汇及词组的辨析。本题难度较大，根据句意：杨小姐被认为是一名优秀的商店售货员因为她会愉快地与每一位顾客打招呼。题目的四个选项都有“被视为，被看成是”的意思，所以本题的难点在于这些词语的搭配的辨析！A, B, C 三个选项的错误之处在于应在单词后加上as 才正确。例如：Miss Yang is looked upon/regarded/viewed as a good shop assistant because she greets every customer cheerfully. 本题只有considered 才可以直接用在题干中。总而言之，同学们务必重视词语的搭配！ 4. Skimming is an important way of understanding a text faster and more _____. A. efficiently B. effectively C. sufficiently D. conveniently 【正确选项】A 【考查内容】词语辨析 【试题分析】本题考察高中英语词汇的辨析。本题选项的四个单词非常容易弄混淆。单词之间的拼写，后缀都有类似的地方。A 选项是“有效率地”的意思；B 选项是“有效果地， 有影响地”的意思；C 选项是“足够地，充足地”的意思；D 选项是“方便地”的意思。根据句意：浏览是一种更快更有效的理解文本的重要方法。总而言之，只有A 符合题意。
复旦附中2017-2018高一下期末数学卷(答案)
n n n ? 复旦附中 2017-2018 学年高一期末数学试卷 一. 填空题 1. 在等差数列{a n } 中，若a 4 = 0 ， a 6 + a 7 = 10 ，则 a 7 = ?. 答案： 6 2. 在数列1、3、7、15、??? 中，按此规律，127 是该数列的第 项. 答案： 7 3. 已知数列{a } 的前 n 项和 S = n 2 -1，那么数列{a } 的通项公式为 . ?0, n = 1 答案： ? 2n -1, n ≥ 2 4. 若在等比数列{a n } 中， a 1 ? a 2 ?? ??? a 9 = 512 ，则 a 5 = ?. 答案： 2 5. 方程(3cos x -1)(cos x + 1 3 sin x ) = 0 的解集是 . π 答案：{x | x = ±arccos + 2k π , x = - + k π , k ∈ Z } 3 6 6. 若数列{a } 满足 a = 13 ， a - a = n ，则 a n 的最小值为 . n 1 答案： 23 5 n +1 n n 7. 若数列{a } 是等差数列，则数列b = a n +1 + ? ?? + a n +m (m ∈ N * ) 也为等差数列，类比上述性质，相应地，若正项 n n m 数列{c n } 是等比数列，则数列d n = ?也是等比数列 m c n +1 ? c n +2 ?? ??? c n +m 8. 观察下列式子：1+ 1 ≥ 3 ，1+ 1 + 1 + 1 > 2 ，1+ 1 + 1 + ? ?? + 1 > 5 ，…，你可归纳出的不等式是 . 2 2 2 3 4 2 3 8 2 答案：1+ 1 + 1 + ?? ? + 1 ≥ 2 3 2n n + 2 2 9. 在我国古代数学著作《孙子算经》中，卷下第二十六题是：今有物，不知其数，三三数之剩二，五五数之剩三， 七七数之剩二，问物几何？满足题意的答案可以用数列表示，该数列的通项公式可以表示为 a n = ?. 答案：105n + 23 10. 对于下列数排成的数阵： -1 4 -9 16 -25 36 -49 64 -81 100 ??? ??? ??? 它的第10 行所有数的和为 . 答案： -505 11. 对于数列{a } 满足：a = 1，a - a ∈{a , a ,?? ?, a } (n ∈ N * ) ，其前 n 项和为 S ，记满足条件的所有数列{a } n 1 n +1 n 1 2 n n n
上海复旦附中2020年自招真题数学试卷(含答案)
2020年复旦附中自招题 1. 已知a 、b 、c 是一个三角形的三边，则2 2 2 2 2 2 4 4 4 222a c c b b a c b a ---++的值是（ ） A .恒正 B .恒负 C .可正可负 D .非负 解：选B 222222444222a c c b b a c b a ---++ 2 2 2 22 2 4)(c b c b a ---= )2)(2(2 2 2 2 2 2 bc c b a bc c b a ---+--= ])(][)([2 2 2 2 c b a c b a +---= ))()()((c b a c b a c b a c b a --+++--+= ∵a 、b 、c 是一个三角形的三边， ∴0>-+c b a ，0>+-c b a ，0>++c b a ，0<--c b a ， ∴0))()()((<--+++--+c b a c b a c b a c b a 2. 设m ，n 是正整数，满足mn n m >+，给出以下四个结论：① m ，n 都不等于1；② m ，n 都 不等于2；③ m ，n 都大于1；④m ，n 至少有一个等于1，其中正确的结论是（ ） A .① B .② C .③ D .④ 解：选D 由mn n m >+得()()111<--n m 若m ，n 均大于1，则,11,11≥-≥-n m ()()111≥--n m ，矛盾， ∴m ，n 至少有一个等于1。 3. 已知关于x 的方程a x a x +=+2有一个根为1，则实数a 的值为（ ） A . 251+- B .251-- C .2 5 1±- D .以上答案都不正确 解：选A 将1=x 代入，得12+=+a a ， 两边平方，得012 =++a a ，2 5 1±-= a ， 当25 1--= a 时，1=x 不是原方程的根，舍 ∴2 5 1+-= a
复旦附中英语自招题_
全市最难的复附自招英语真题 复附自招英语，其实早已身名远扬。基本考过的同学都说难。但希望大家记住：题目再难，对大家都是公平的。自招比的是总分，可能你英语略逊一筹，但其它学科可以弥补。再者，自招比的是相对优秀，不在乎你拿了多少分，只在乎你比别人稍微多几分。明白吗？ 1.You should pay attention to the way you stand and sit. A. of B. that C. which D. how 【正确选项】B 【考查内容】定语从句 【试题分析】本题考察the way 后接定语从句的用法。the way 后接定语从句有三种形式：1.不用引导词；2.用that 做引导词；3.用in which 做引导词。本题的考察点是第2 种。 同学们根据汉语思维可能误选D。总而言之，同学们对这三种形式一定要牢记！ https://www.360docs.net/doc/fd16104822.html,ck of eye contact can nervousness. A. signal B. mark C. sigh D. design 【正确选项】A 【考查内容】词语辨析 【试题分析】本题考察高中英语词汇的辨析。根据句子意思：缺少眼神交流可以说明一个人很紧张。A 选项signal 有“表示；表明；预示”的意思，符合题意。B 选项mark 是“做记号，做标记”的意思；C 选项sigh 是“叹气”的意思，单词拼写与signal 类似，同学们可能误选。D 选项design 是“设计”的意思。总而言之，只有A 选项符合题意！ 3.Miss Yang is a good shop assistant because she greets every customer cheerfully. A. looked upon B. regarded C. viewed D. considered 【正确选项】D 【考查内容】词语辨析 【试题分析】本题考察高中英语词汇及词组的辨析。本题难度较大，根据句意：杨小姐被认为是一名优秀的商店售货员因为她会愉快地与每一位顾客打招呼。题目的四个选项都有“被视为，被看成是”的意思，所以本题的难点在于这些词语的搭配的辨析！A, B, C 三个选项的错误之处在于应在单词后加上as 才正确。例如：Miss Yang is looked upon/regarded/viewed as a good shop assistant because she greets every customer cheerfully. 本题只有considered 才可以直接用在题干中。总而言之，同学们务必重视词 语的搭配！ 4.Skimming is an important way of understanding a text faster and more . A. efficiently B. effectively C. sufficiently D. conveniently 【正确选项】A 【考查内容】词语辨析 【试题分析】本题考察高中英语词汇的辨析。本题选项的四个单词非常容易弄混淆。单词之间的拼写，后缀都有类似的地方。A 选项是“有效率地”的意思；B 选项是“有效果地，有影响地”的意思；C 选项是“足够地，充足地”的意思；D 选项是“方便地”的意思。根据句意：浏览是一种更快更有效的理解文本的重要方法。总而言之，只有A 符合题意。