上海交通大学附属中学2008-2009学年度第一学期
高一英语期中试卷
Ⅱ. Grammar and V ocabulary 29%
Section A
Directions: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.
25. When he moved to Germany in _______, he was already in _______.
A. the fifties, his sixty
B. fifties, his sixties
C. the fifties, his sixties
D. fifty, sixty
26. A shopping mall in the Sates is _______ many individual shops.
A. made up of
B. consisted of
C. composed by
D. involved in
27. I thought it _______ that the price of the house will keep _______.
A. certain, to go up
B. certain , going up
C. sure, to go up
D. sure, going up
28. He is generally _____ the most diligent student in the class.
A. remembered
B. considered
C. regarded
D. thought of
29. Tom is not quite _______ as his brother.
A. good as a student
B. as good a student
C. as a good student
D. a as good student
30. The speech was wonderful ______ it lasted too long.
A. as if
B. for
C. except that
D. except when
31. Saying that he was not able to paint well, he _______ to refuse his job. Which of the
following is WRONG?
A. did all what he could
B. tried his best
C. did everything he could
D. did what he could
32. I don’t like ______ like that, which is very rude.
A. to be talked
B. being talked
C. to be talked to
D. to being talked to
33. The reason _______ he explained to us was quite simple.
A. why
B. that
C. how
D. when
34. We have to face the educational system _______ pressure was heavy.
A. which
B. for which
C. where
D. that
35. --Alice came back home the day before yesterday.
---Really? Where _______?
A. has she been
B. had she been
C. has she gone
D. had she gone
36. The book ______ on the ground for ten minutes but no one has picked it up.
A. is lying
B. has laid
C. has been lain
D. has been lying
37. Who _______ you have ever seen can accomplish this task?
A. who
B. which
C. whom
D. that
38. He used to _______ late, but now he is used to _______ early.
A. getting up, get up
B. getting up, getting up
C. get up, get up
D. get up, getting up
39. He was so sad that for days he couldn’t _______. Which one is NOT PROP ER?
A. help crying
B. help cry
C. help but cry
D. choose but cry
40. We are very surprised to find that he has so many books that they have piled up to the
_______ of his study.
A. top
B. tip
C. ceiling
D. roof
41. He lived _______ in a/an ________ house on the island, but he didn’t feel _______.
A. alone, alone, lonely
B. lonely, lonely, alone
C. alone, lonely, lonely
D. lonely, alone, alone
42. Y ou never eat different kinds of food and _______ you lack something needed for normal
health.
A. as a result of
B. as a result
C. as usual
D. as a rule
43. Anybody in our class is _________ of working out the puzzle in ten minutes.
A. likely
B. probable
C. capable
D. unable
44. What he said didn’t ________ al l the facts my parents told me.
A. agree with
B. agree
C. agree on
D. agree to
Section B
Directions: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.
A. simple
B. shared
C. Another
D. If
E. personal AE. come in AD. goal AC. receive AB. happiness BC. come from Everybody has different ways of achieving happiness and the reasons for feeling happy may change from year to year, or even from day to day. For example, happiness may ____45___ getting a good grade on a school assignment or from a very ___46____ thing like having a full stomach. This kind of happiness is inside of you------ it is ___47___ happiness. Happiness is also something you can communicate to other people. The good grade you ___48___ on your paper will probably make your parents happy and proud. ___49____ way of communicating happiness is to help other people over difficult experiences in their own lives. In this situation, you give off your own happiness to make others happy.
The most important things to remember in your pursuit of happiness are:
1. Happiness should not be your only ___50___------ a real goal, like better grades, a better job, or closer friends, is sure to give more happiness than chasing after a feeling.
2. Happiness may ___51___ all sizes and shapes. ____52___ you keep your sense of humor and see things in a balanced way, happiness will come to you faster than to the person who is always worrying about what tomorrow will bring.
3. Happiness is meant to be ___53____. “Laugh and the world laughs with you, cry and you cry alone.”
III. Reading Comprehension 32%
Section A
Directions: For each blank in the following passages there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.
Chinese students are generally fond of studying very, very hard for long hours. This is an excellent ____54___ , but it is often an inefficient(效率低的) way of study. An efficient student must have ___55____ sleep, food, rest and relaxation. Every day you need take a walk or play basketball or do something you find ___56____. And it is necessary for you to see a film or visit some scenic spots(风景区) every ____57___ and then. When you ___58___ to your studies, your mind will be refreshed and you’ll learn the most. Endless hours of nodding over your books are ___59___ effective than shorter active study session(课时).
Finally, be realistic. If you set ___60___ objects for yourself, you can only be disappointed in your progress. Psychologists(心理学家) have found ___61___learning tasks like this way: first, you make such great progress that you feel very happy. Then your language ability ___62____ the same: you believe you are not learning anything at all and you feel ___63____. This period can last for days ____64___ even weeks, but you must not ____65___. At some point your language will again take ___66___ big jump and you’ll see that you really have been learning ___67___.
Perhaps we can say that learning English is like taking Chinese medicine whose effects come slowly but ____68___. Don’t give up halfway.
54. A. way B. means C. idea D. character
55. A. little B. a great deal of C. much D. enough
56. A. it happy B. relaxation C. relaxing D. relaxed
57. A. now B. day C. of D. with
58. A. go B. come C. return D. refer
59. A. very B. much C. more D. less
60. A. good B. possible C. impossible D. low
61. A. that B. out that C. it out D. it out that
62. A. stays B. in C. place D. seems to stay
63. A. sad B. better C. helpless D. regretful
64. A. and B. but C. or D. nor
65. A. discourage B. lose your heart C. be discouraging D. lose heart
66. A. other B. the other C. an other D. another
67. A. all B. all the time C. at all D. at time
68. A. quickly B. timely C. surely D. mainly
Section B
Directions：Read the following four passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.
(A)
There’re five people at our table, including myself. I’ve already learnt a great deal about them in the short time we’ve been at sea, although we rarely meet except at meal times.
First of all, there’s Dr Stone. He’s a man of about sixty five, with gray hair and a friendly fac e. He gave up his work a short while ago and is now traveling round the world before he retires to some quiet country village. As a young man, he served for many years as a doctor in the Army and visited many countries. He’s told us a lot about the city to which we are going.
Then there’s “Grandmother”. I call her that because her name escapes me. In spite of being a grandmother, she looks rather young, not more than fifty, She’s on her way to visit a daughter who went to Australia some years ago. Naturally she is very excited at the thought of seeing her again, and her three grandchildren, whom she has never seen.
Then there’s a man I don’t care for very much, an engineer by the name of Barlow. He has been on leave in England and is now returning to his work in Singapore.
The other person who sits at our table is Mrs. Hunt. I’ve found out hardly anything about her. She’s extremely quiet and rarely talks, except to consult(咨询)the doctor about children’s various illness. She’s on her way to join her husband in India.
69. What can we know about Mr. Stone?
A. He is a doctor in the Army now.
B. He is going to give up his work.
C. He knows a lot about the city the author is going to.
D. He has been retired for many years.
70. The writer calls the second person “Grandmother” becaus e_______.
A. she looks old
B. She has three daughters
C. he respects her
D. he can’t think of her name
71. Which of the following is TRUE?
A. Dr Stone lives in a quiet village now.
B. “Grandmother” is an Australian.
C. Barlow works in Singapore
D. Mrs Hunt is a woman of many words.
(B)
Aaron Carter isn’t like other 12-year-olds. He doesn’t go to school, and he’s already got a job. He is a big pop star. A few years ago he started his singing with Crazy Little Party Girl, which became a hit at once. Now he goes around the world and his songs are in the tops.
Because he’s traveling around all the time Aaron doesn’t have to go to school, but don’t envy him too much---- he still has to do lessons and homework. And he is good at learning.
“I have to fit my schoolwork around my singing,” he explains. “But I’m lucky because I have a private tutor who travels with me. I sometimes have to have lessons on a plane. That’s really interesting!”
Aaron’s favorite subject is math but he hates history. He knows clearly that having a good singing career doesn’t mean he can go without schoolwork.
“It would be easy to think that I don’t need to do well in exams, but that would be crazy,” he says. “It’s important to g et my qualifications(资格) so that I have something to fall back on. Besides, it’s interesting to learn about other people and cultures.”
Aaron’s favorite type of music is rock’n’roll. “The best thing about being a singer” he says, “is that you get to travel all around the world. But the worst thing is that you’re away from home so much that you don’t get to see your friends or family.”
72. According to the passage, we learn that Aaron Carter is__________.
A. a composer
B. a successful singer
C. a history lover
D. a young businessman
73. Which of the following statements is True?
A. Aaron Carter doesn’t go to school because he likes singing better.
B. Aaron Carter has his own teacher.
C. Aaron likes math as well as history.
D. Aaron Carter likes traveling all around the world and dislikes seeing friends and family.
74. The underlined phrase “fall back on” in the fifth paragraph has the similar meaning as________.
A. check in
B. return to
C. depend on
D. decide on
(C)
The people who lived in Italy and northern Europe during the fifteenth and sixteenth centuries were the first people to think of themselves as belonging to an era(时代). It was the Renaissance(文艺复兴), a period of renewed interest in learning after the Middle Ages.
The motto(座右铭) of the Renaiss ance was “A man can do all things if he wills,” and the man who fulfilled that motto more than any other was Leonardo da V inc i. Da Vinci was good at portraiture, a new art form that described people as individuals. His painting of the “Mona Lisa”
remains the most famous portrait ever done.
But Leonardo was also a skilled architect and engineer, who designed a submarine, helicopter and airplane, long before those inventions were ever built. Hundreds of drawings and thousands of pages in his notebooks proved his interest in astronomy, anatomy，botany, geology, and above all mathematics. He was interested in city planning and sanitation and was reportedly a gifted musician.
Since the Renaissance, the term “Renaissance man” has been applied to(适用到)others, who, like Leonardo da Vinci, excelled in many various fields. Thomas Jefferson is perhaps the best example. He, too, was a born musician and architect as well as botanist, philosopher, writer and third President of the United States.
75. Which of the following is NOT TRUE according to the passage?
A. The motto of the Renaissance was “A man can do all things.”
B. Leonardo da Vinci made the most achievements among people during the Renaissance.
C. Portraiture was a new art form of painting pictures.
D. “ Mona Lisa” is among the most famous portraits in history.
76. “Renaissance man” means _______.
A. any person during the period of Renaissance
B. any person who makes great achievements in some certain field.
C. any person who experts at many different fields during the Renaissance
D. any person who experts at many different fields ever since the Renaissance
77. Which of the following is NOT the common interest to Leonardo da Vinci and Thomas Jefferson?
A. Music
B. Sanitation
C. Architecture
D. Botany
(D)
It was a dark November day in 1895. In a laboratory at the royal University of Wurzburg, in western Germany, a 50-year-old physics professor, Wilhelm Roentgen, performed what looked like a type of magic. He placed a glass vacuum(真空) tube inside a black cardboard box and applied a high-voltage current（高压电流）. He suddenly noticed that, on a bench nearby, a piece of paper coated with a chemical substance began giving off an strange light. Over the following two weeks, Roentgen performed a series of experiments that proved the existence of a form of electro-magnetic(电磁的) radiation he called X-rays.
His astonishing discovery has led to a deeper understanding of the physical world----in particular, to the field of medical diagnosis(诊断).
X-rays are widely used in medicine to make radiographs or X-rays pictures of the bones and internal organs of the body to see whether diseases exist, such as broken bones or lung diseases.
A radiograph is made by passing an X-rays beam through a patient’s body onto a piece of
photographic film. The bones takes in more of the rays than do muscles or other organs, so the bones throw the sharpest shadows on the film.
Improvements over the past century----from fluoroscopy(荧光透视法)to CT scans---- have made X-rays technology an invaluable tool of medicine.
78. At the beginning of the passage, Prof. Wilhelm Roentgen was _______.
A. performing an entertaining program
B. playing magic
C. doing some experiments
D. None of above
79. When Prof. Roentgen placed a glass vacuum tube in a black box and applied a high-voltage
current, he _______.
A. saw a bench nearby
B. noticed a piece of paper on a nearby bench begin to burn slowly
C. noticed a piece of paper on a nearby bench begin to give out strange light
D. noticed a piece of paper was coated with a chemical substance
80. The bones have clearer shadow on the photographic film than do muscles or other organs,
because ______.
A. the bones are harder than them
B. the bones can help absorb more rays than them
C. the bones can block more rays than them
D. X-rays cannot pass through the bones
Section C
Directions: Read the following text and choose the most suitable heading from A—F for each paragraph. There is one extra heading which you do not need. 请把答案写在答题卡上，F用A+E表示
A.The Story of the Word “Boss”
B.The Coming of “Brass”
C.The Expression for Workers
D.Another Expression for Bosses
E.An Italian Saying
F.The Use of Expressions for Bosses
81. _________
The Italians have an old saying “y dolce far niente”. The wor ds mean it is sweet or enjoyable to do nothing. On weekends and during holidays, many of us enjoy doing nothing. But most of the time, we have to work and to keep our jobs and we must work hard. Our employer will not like it if we do nothing.
82. _________
American workers often call their employers “bosses”. The word “boss” comes from the Dutch word “baas” meaning master. Sometimes company bosses are called the brass. They are also sometimes called “ top brass” or “brass hats”. Experts disagree about how the strange expression started, but they may have come from Britain. Leaders of the 19th century British army wore pieces of metal called oak leaves on their hats. The metal brass has a color similar to that of gold. So a leader or a commander came to be called a member of the brass or he might have been called a brass hat or even the top brass.
83. _________
By the 1940’s, the expression had spread beyond military leaders. It also included civilian officials. A newspaper in the American city of Philadelphia used the term in 1949. It called the most important police officials top brass. Other expressions that mean boss or employer have nothing to do with brass or hats. One of these is “ big cheese”. A cheese is a solid food made form milk. The expression probably started in America in the late 19th century. Some experts believe it comes from a word in the Persian or Urdu languages. Cheese, the meaning is a thing. So the meaning of “big cheese” may be a big thing.
84. ________
Other experts say the word cheese and its expression was really in incorrect way of saying chief. The word chief means leader. So the expression may mean big leader. An employer usually does not object to being called boss. But most workers would not call their employers big cheese, top brass or brass hats to their faces. These words are not really insulting(侮辱)but neither do they show great respect.
85. _________
Employers also have expressions to describe their workers. One of them that describe a good worker is that he or she works like a Trojan. This expression probably comes from the ancient writings of the great poet Homer. He wrote about the Trojans who lived in the city of Troy. He said Trojans worked very hard to protect their city. Now the expression is often used to describe an employee who work hard for a company. A loyal, hardworking employee is said to work like a Trojan. So be happy if your company’s brass hats say you work like a Trojan. They may consider you valuable enough to increase your pay.
IV. Translation 15%
Directions: Translate the following sentences into English, using the words given in the brackets.
86. 我发现要在一小时内写一遍八百字的文章是很困难的。（it）
87. 我已经告诉过你我做出这道题的方法。（way）
88. 据说在北京举办的奥运会开幕式很受欢迎。（receive）
89. 务必确保你要学会游泳，因为这有可能意味着生还是死。（Make sure）
90. 直到这次期中考试后他才意识到英语非常值得学。（worth）
高一英语期中考试答案
I.Listening comprehension 24%
1----5 BDDCC 6-----10 ABDCB 11-----16 BDD BCA
17. Australia 18. grams 19. airmail 20. 13
21. On Friday evening 22. Candies and wine
23. Food and snacks 24. Friends and neighbors
II.Grammar and V ocabulary 29%
25----44 CABBB CACBC BDDDB CCBCA
45----53 JAEHCGFDB BC, A, E, AC, C, AD, AE, D, B
III. Reading Comprehension 32%
54----68 ADCAC DCBDA CCDBC
69----71 CDC
72----74 BBC
75----77 ADB
78----80 CCB
81----85 EBDFC
IV.Translation 15%
86. 我发现要在一小时内写一遍八百字的文章是很困难的。（it）
I find it very difficult to write an 800-word composition within/in an hour.
87. 我已经告诉过你我做出这道题的方法。（way）
I have told you the way (in which/that/--) I worked out the problem.
88. 据说在北京举办的奥运会开幕式很受欢迎。（receive）
It is said that the opening ceremony of the Olympic Games (which was held in Beijing) has been/was well received.
89. 务必确保你要学会游泳，因为这有可能意味着生还是死。（Make sure）
Make sure (that) you learn to swim, because it may mean the difference between life and death. 90. 直到这次期中考试后他才意识到英语非常值得学。（It, worth）
It was not until after the mid-term examination that he realized that English was/is worth learning.
上海交通大学附属中学2018-2019学年第一学期 高三英语摸底考试卷 II.Grammar and Vocabulary Section A Directions:After reading the passages below,fill in the blanks to make the passages coherent and grammatically correct.For the blanks with a given word,fill in each blank with the proper form of the given word;for the other blanks,use one word that best fits each blank. (A) Space is a dangerous place,not only because of meteors but also because of rays from the sun and other stars.The atmosphere again acts(1)__________our protective blanket on earth.Light gets through,and this is essential for plants(2)__________(make)the food which we eat.Heat,too, makes our environment endurable.Various kinds of rays come through the air from outer space,but enormous quantities of radiation from the sun(3)__________(screen)off.As soon as men leave the atmosphere they are exposed to this radiation but their spacesuits or the walls of their spacecraft, (4)__________they are inside,do prevent a lot of radiation damage. Radiation is(5)__________(great)known danger to explorers in space.The unit of radiation is called"rem".Scientists have reason to think that a man can put up with far more radiation than 0.1rem without(6)__________(damage);the figure of60rems has been agreed on.The trouble is(7)__________it is extremely difficult to be sure about radiation damage-a person may feel perfectly well,but the cells of his or her sex organs may be damaged,and this will no be discovered (8)the birth of deformed children or even grandchildren.Missions of the Apollo flights have had to cross belts of high amount of rems.So far,no dangerous amounts of radiation have been reported,but the Apollo missions have been quite short.We simply do not know yet(9) __________men are going to get on when they spend weeks and months outside the protection of the atmosphere,working in a space laboratory.Drugs might help to decrease the damage(10) __________(do)by radiation,but no really effective ones have been found so far. (B) Before I went to the British Koi Keepers’Annual Show,I didn’t understand(1)______ people could take fish so seriously.However,the more I learned about koi,the more interested I became.As one expert told me,“Collecting koi is far more addictive than you might think.They’re as beautiful as butterflies and very calming to watch.”Freddie Mercury,the lead singer of Queen, would have agreed----the pool in his specially built Japanese garden was home to89koi,(2) __________cost up to￡10,000each. At the show I met koi euthusiast Jean Kelly.“Koi are getting more and more expensive,”she told me.“One recently sold for￡250,000.”I was shocked-----that’s almost as much as I paid for my house.“Well,that was a record,”(3)__________(admit)Jean.“The normal price is nowhere near as high as that.” Nevertheless,serious collectors can pay up to￡15,000for a fully(4)_______(grow)koi, which is nearly as expensive as a new luxurious car,and the bigger they are,the more they cost.The cheapest I(5)________find was￡75each,but they were only about twice as big as my goldfish. Jean wasn’t impressed by one of the koi on sale either.“Actually,these koi aren’t any nicer than (6)_______,”She commented.“(7)_______they are slightly bigger than the ones I’ve got,I paid considerable less than this.”
交大附中高一期末数学试卷 一. 填空题 1. 无限循环小数0.036 化成最简分数为 2. 函数y =的定义域是 3. 若{}n a 是等比数列，18a =，41a =，则2468a a a a +++= 4. 函数()tan cot f x x x =+的最小正周期为 5. 已知,a b R ∈且2lim()31 n an bn n n →∞+-=+，则22a b += 6. 用数学归纳法证明“11112321 n n +++???+<-*(,1)n N n ∈>”时，由n k =(1)k >不 等式成立，推证1n k =+时，左边应增加的项数共 项 7. 在△ABC 中，三个内角A 、B 、C 的对边分别为a 、b 、c ， 若a =2c =，120A ?=， 则ABC S ?= 8. 函数()arcsin(cos )f x x =，5[ ,]46x ππ∈的值域为 9. 数列{}n a 满足12225222 n n a a a n ++???+=+，*n N ∈，则n a = 10. 设[]x 表示不超过x 的最大整数，则[sin1][sin 2][sin3][sin10]+++???+= 11. 已知225sin sin 240αα+-=，α为第二象限角，则cos 2α = 12. 分形几何学是美籍法国数学家伯努瓦.B.曼德尔布罗特在20世纪70年代创立的一门新学 科，它的创立，为解决传统科学众多领域的难题提供了全新的思路，下图是按照一定的分形 规律生长成一个数形图，则第13行的实心圆点的个数是 13. 数列{}n a 满足：,21(0.5),2n n n q n k a n k ?=-?=?=??，*k N ∈， {}n a 的前n 项和记为n S ，若lim 1n n S →∞ ≤，则实数q 的 取值范围是 14. 已知数列{}n a 满足：1a m =*()m N ∈，1 0.531n n n a a a +?=?+? n n a a 当为偶数时当为奇数时，若61a =， 写出m 所有可能的取值 二. 选择题 15. 设a 、b 、c 是三个实数，则“2b ac =”是“a 、b 、c 成等比数列”的（ ）
一、第六章 圆周运动易错题培优（难） 1．如图所示，叠放在水平转台上的物体 A 、B 及物体 C 能随转台一起以角速度 ω 匀速转动，A ，B ，C 的质量分别为 3m ，2m ，m ，A 与 B 、B 和 C 与转台间的动摩擦因数都为 μ ，A 和B 、C 离转台中心的距离分别为 r 、1.5r 。设最大静摩擦力等于 滑动摩擦力，下列说法正确的是（重力加速度为 g ）（ ） A ． B 对 A 的摩擦力一定为 3μmg B ．B 对 A 的摩擦力一定为 3m ω2r C ．转台的角速度需要满足g r μω D ．转台的角速度需要满足23g r μω 【答案】BD 【解析】 【分析】 【详解】 AB ．对A 受力分析，受重力、支持力以及B 对A 的静摩擦力，静摩擦力提供向心力，有 ()()233f m r m g ωμ= 故A 错误，B 正确； CD ．由于A 、AB 整体、C 受到的静摩擦力均提供向心力，故对A 有 ()()233m r m g ωμ 对AB 整体有 ()()23232m m r m m g ωμ++ 对物体C 有 ()21.52m r mg ωμ 解得 g r μω 故C 错误， D 正确。 故选BD 。 2．如图所示，水平的木板B 托着木块A 一起在竖直平面内做圆心为O 的匀速圆周运动，
Oa水平，从最高点b沿顺时针方向运动到a点的过程中（） A．B对A的支持力越来越大 B．B对A的支持力越来越小 C．B对A的摩擦力越来越小 D．B对A的摩擦力越来越大 【答案】AD 【解析】 【分析】 【详解】 由于始终做匀速圆周运动，合力指向圆心，合力大小不变，从最高点b沿顺时针方向运动到a点的过程中，合力的水平分量越来越大，竖直向下的分量越来越小，而合力由重力，支持力和摩擦力提供，因此对A进行受力分析可知，A受到的摩擦力越来越大，B对A的支持力越来越大，因此AD正确，BC错误。 故选AD。 3．如图所示，两个水平放置的轮盘靠摩擦力传动，其中O、O′分别为两轮盘的轴心，已知两个轮盘的半径比r甲∶r乙=3∶1，且在正常工作时两轮盘不打滑。两个同种材料制成的完全相同的滑块A、B放置在轮盘上，两滑块与轮盘间的动摩擦因数相同，两滑块距离轴心O、O′的间距R A=2R B，两滑块的质量之比为m A∶m B=9∶2.若轮盘乙由静止开始缓慢地转动起来，且转速逐渐增加，则下列叙述正确的是（） A．滑块A和B在与轮盘相对静止时，线速度之比v A∶v B=2∶3 B．滑块A和B在与轮盘相对静止时，向心加速度的比值a A∶a B=2∶9 C．转速增加后滑块B先发生滑动 D．转速增加后两滑块一起发生滑动 【答案】ABC 【解析】 【分析】 【详解】 A．假设轮盘乙的半径为r，因r甲∶r乙=3∶1，所以轮盘甲的半径为3r。 由题意可知两轮盘边缘的线速度v大小相等，由v=ωr可得
2017-2018年交大附中高一下期中 一. 填空题 1. 已知数学期中考试时长为2小时，则考试期间分针旋转了弧度 2. 方程2cos210x +=的解集是 3. ABC ?中，60A =?，1b =，4c =，则a = 4. 化简计算： sin() sin()tan(2)25tan()cos(3)cos() 2 παπααπππαπαα+--??=+-- 5. 函数2 arcsin()y x x =-的单调递增区间是 6. 已知02 π θ<< ，将cos θ，cos(sin )θ，sin(cos )θ从小到大排列 7. 若()sin()sin()44 f x a x b x π π =+ +-（0ab ≠）是偶函数，则有序实数对(,)a b 可以是 （写出你认为正确的一组数即可） 8. 若函数()cos |sin |f x x x =+（[0,2]x π∈）的图像与直线y k =有且仅有四个不同的交点，则 k 的取值范围是 9. 将3sin(2)4y x π=+ 图像上所有点向右平移动6 π 个单位，再把所得的图像上各点横坐标扩大到原来的3倍（纵坐标不变），这样得到的图像对应的函数解析式为 10. 在锐角ABC ?中，1BC =，2B A =，则AC 的取值范围是 11. 函数1arctan arctan 1x y x x -=++的值域是 12. 设函数1122()sin()sin()sin()n n f x a x a x a x ααα=?++?++???+?+，其中i a 、i α（1,2,,i n =???，*n N ∈，2n ≥）为已知实常数，x ∈R ，下列关于函数()f x 的性质判断正确的有 （填写序号） ① 若(0)()02 f f π ==，则()f x 对任意实数x 恒成立； ② 若(0)0f =，则函数()f x 为奇函数； ③ 若()02 f π =，则函数()f x 为偶函数； ④ 当22(0)()02 f f π +≠时，若12()()0f x f x ==，则12x x k π-=（k Z ∈）. 二. 选择题
上海交通大学附属中学2008-2009学年度第一学期 高一英语期中试卷 Ⅱ. Grammar and V ocabulary 29% Section A Directions: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence. 25. When he moved to Germany in _______, he was already in _______. A. the fifties, his sixty B. fifties, his sixties C. the fifties, his sixties D. fifty, sixty 26. A shopping mall in the Sates is _______ many individual shops. A. made up of B. consisted of C. composed by D. involved in 27. I thought it _______ that the price of the house will keep _______. A. certain, to go up B. certain , going up C. sure, to go up D. sure, going up 28. He is generally _____ the most diligent student in the class. A. remembered B. considered C. regarded D. thought of 29. Tom is not quite _______ as his brother. A. good as a student B. as good a student C. as a good student D. a as good student 30. The speech was wonderful ______ it lasted too long. A. as if B. for C. except that D. except when 31. Saying that he was not able to paint well, he _______ to refuse his job. Which of the following is WRONG? A. did all what he could B. tried his best C. did everything he could D. did what he could 32. I don’t like ______ like that, which is very rude. A. to be talked B. being talked C. to be talked to D. to being talked to 33. The reason _______ he explained to us was quite simple. A. why B. that C. how D. when 34. We have to face the educational system _______ pressure was heavy. A. which B. for which C. where D. that 35. --Alice came back home the day before yesterday. ---Really? Where _______? A. has she been B. had she been C. has she gone D. had she gone
上海市交大高一下学期期中考试 数学试题 （满分100分，90分钟完成。答案一律写在答题纸上） 一、填空题（每题3分） 1、 若 1 sin cos 2 2 5α α -= ，则sin α=_________。 2、 函数 tan(2) 3=-y x π 的周期为_________。 3、 如果tan csc 0αα?<，那么角α的终边在第____________象限。 4、 若2弧度的圆心角所对的弧长为4cm ，则这个圆心角所在的扇形面积为______ cm 2 5、 方程|sin |1x =的解集是_________________。 6、 222cos cos (120)cos (240)θθθ++?++?的值是________。 7、 若 2sin()3αβ+= ，1sin()5αβ-=，则tan tan αβ=__________。 8、 设0<α<π，且函数f(x)=sin(x+α)+cos(x -α)是偶函数，则α 的值为_________。 9、 等腰三角形一个底角的余弦值为2 3，那么这个三角形顶角的大小为_____________。 （结果用反三角表示）。 10、 设函数f(x)是以2为周期的奇函数，且2 ()7 5f -=，若 sin α，则(4cos2)f α的值为___________________。 11、 设tan α和tan β是方程mx 2+(2m -3)x+m -2=0的两个实根，则tan(α+β)的最小值为 ______________。 12、 下列命题： ①终边在坐标轴上的角的集合是{α∣2= k π α，k ∈Z}； ②若2sin 1cos =+x x ，则 tan 2x 必为12； ③0≠ab ，sin cos ),()+=+a ，则arctan =b a ?； ④函数 1sin()26y x π=-在区间[3π- ，116π ]上的值域为[，2]；
上海交大附中09-10学年高一上学期期终试卷（英语） （满分100分，100分钟完成，答案一律写在答题纸上） 命题：王玮审核：韩立新校对：王慧良 Ⅱ. Grammar and vocabulary (17’) Part A (0.5’ *16 = 8’) Directions: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence. 25.If you , you'd better go outside in the fresh air. A. faint B. have fainted C. are going to faint D. will faint 26.All but one worker here just now. A. is B. was C. has been D. were 27.It is the fourth time she has been sleeping in class, ? A. is she B. isn’t she C. isn’t it D. hasn’t she 28. matters little. A. He will come or not B. If or not he comes C. Whether he comes or not D. He comes or not 29.Hard as , it is quite easy to drill a hole on it with laser. A. is the diamond B. does the diamond C. the diamond is D. the diamond does 30.If that idea was wrong, the project is bound to fail, good all the other ideas might be. A. whatever B. though C. whatsoever D. however 31.The reason he referred to for his success is he is always working hard. A. why; that B. why; because C. that; that D. that; because 32.Many new means of transportation have been developed in our country, perhaps the hovercraft. A. and the strangest of which is B. the strangest of which being C. the strangest of which is D. and the strangest of them being 33.No one can walk the wire without a bit of fear unless ____ very young. A. having been trained B. trained C. to be trained D. being trained 34.Having considered the problem for a while, she thought better her first solution. A. to B. than C. from D. of 35.The bank is reported in the local newspaper in broad daylight yesterday. A. to be robbed B. robbed C. to have been robbed D. having been robbed
上海交通大学附属中学2017-2018 学年度第二学期 高三英语毕业考试卷 I. Listening Comprehension 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. Use a ladder to help her reach the cup. B. See a doctor about her shoulder. C. Put the cup on a lower shelf. D. Buy a new cupboard. 2. A. He has already called Harry. B. Harry knows most of the facts. C. He ne eds to talk to Harry soon. D. Harry doesn’t have a telephone. 3. A. The new doctor lacks experience. B. She disagrees with what the man said. C. The man had better talk with the patients first. D. Patients usually cannot offer a fair evaluation. 4. A. Take the man to the station. B. Look after the man’s things. C. Find out when the next bus leaves. D. Show the man the way to the station. 5. A. He was good at fixing up bookshelves. B. He helped James build up the furniture. 页1
交大附中高一期中数学试卷 一. 填空题 1. 若5 2arcsin 24 3 x π -= （），则x = 2. 在公差d 不为零的等差数列{}n a 中，617a =，且3a 、11a 、43a 成等比数列，则d = 3. 已知等比数列{}n a 中，0n a >，164a a =，则22232425log log log log a a a a +++= 4. 前100个正整数中，除以7余数为2的所有数的和是 5. 在△ABC 中，2220a b mc +-=（m 为常数），且 cos cos cos sin sin sin A B C A B C += ，则m 的值是= 6. 已知等比数列{}n a 的各项都是正数，n S 为其前n 项和，若48S =，824S =，则16S = 7. 已知函数()3sin 4cos f x x x =+，12,[0,]x x π∈，则12()()f x f x -的最大值是 8. 在△ABC 中，角A 、B 、C 所对应边分别为a 、 b 、 c ，ABC ∠平分线交AC 于点D ，且22BD =， 则4a c +的最小值为 9. 已知数列{}n a 的前n 项和2212n S n n =-，数列{||}n a 的前n 项和n T ，则n T n 的最小值是 10. 在等差数列{}n a 中，若10100S =，100910S =，110S = 11. 设函数|sin |0()20x x x f x x
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．
上海交通大学附属中学2017-2018学年度第一学期高一数学期终试卷 2018.1 一、填空题（本大题共有12题，满分54分，1-6题每题4分，7-12题每题5分） 1. 若关于x 的不等式01x a x -3+的解集为()[),14,-?+?U ，则实数a =____________． 2. 设集合{}{}|2|1,A x x B x x m =-<=>，若A B A =I ，则实数m 的取值范围是____________． 3. 一条长度等于半径的弦所对的圆心角等于____________弧度． 4. 若函数2()log (1)f x x a =++的反函数的图像经过点(4,1)，则实数a =____________． 5. 若1 23()f x x x -=-，则满足()0f x >的x 的取值范围是____________． 6. 已知(7)41()1x a x a x f x a x ì--???，若(0)f 是()f x 的最小值，则a 的取值范围是____________． 11. 设ab R ?，若函数()a f x x b x =+ +在区间(1,2)上有两个不同的零点，则(1)f 的取值范围为____________． 12. 已知下列四个命题： ①函数()2x f x =满足：对任意121 2,,x x R x x 喂，有[]12121()()22x x f f x f x 骣+÷??÷?÷?桫； ②函数(22()log ,()121x f x x g x =+=+-均为奇函数； ③若函数()f x 的图像关于点(1,0)成中心对称图形，且满足(4)()f x f x -=，那么(2)(2018)f f =； ④设12,x x 是关于x 的方程log (0,1)a x k a a =>?的两根，则121x x = 其中正确命题的序号是____________．
上海交通大学附属中学2019-2020学年度第一学期 高一数学期中考试试卷 一、填空题 1. 函数的定义域是 ____________ y =2. 已知，，则____________ {}|12A x x =-<<{}2|30,R x x x x -<∈A B ?=3. 当时，函数的值域为____________ 0x >()1f x x x -=+4. 设或，，则{|52U x x =-≤<-25,}x x Z <≤∈{} 2|2150A x x x =--={}3,3,4B =-U A C B ?=____________ 5. 已知集合，若，则实数值集合为____________ {}{}2,1,|2A B x ax =-==A B A ?=a 6. 满足条件的所有集合A 的个数是____________个{}{}{}1,3,53,5,71,3,5,7,9?=7. 已知不等式解集为A ，且，则实数的取值范围是____________2202x x x a +≤+2,3A A ∈?a 8. 若函数为偶函数且非奇函数，则实数的取值范围为 ____________ ( )f x =a 9. 已知是常数，且，若函数的最大值为10，则的最小值为,a b 0 ab ≠()33f x ax =+()f x ____________ 10. 设正实数,a b 满足，那么的最小值为____________324a ab b ++=1ab 11. 设，若是的最小值，则的取值范围为____________()()2,043,0x a x f x x a x x ?-≤?=?++>?? ()0f ()f x a 12. 若方程在（0,2）内恰有一解，则实数的取值范围为____________ () 22420ax a x --+=a
2018-2019学年上海市上海交通大学附属中学高一上学期期 末数学试题 一、单选题 1．设U 为全集，A ，B 是集合，则“存在集合C 使得A C ?，U B C ?e”是“A B =?” 的（ ） A.充分而不必要条件 B.必要而不充分条件 C.充要条件 D.既不充分也不必要条件 【答案】C 【解析】通过集合的包含关系，以及充分条件和必要条件的判断，推出结果． 【详解】 由题意A C ?，则U U C A ?痧，当U B C ?e，可得“A B =?”； 若“A B =?”能推出存在集合 C 使得A C ?，U B C ?e， U ∴为全集，A ，B 是集合，则“存在集合C 使得A C ?，U B C ?e”是“A B =?”的 充分必要的条件． 故选：C ． 【点睛】 本题考查集合与集合的关系，充分条件与必要条件的判断，是基础题． 2．已知实数x ，y 满足()01x y a a a <<<，[]x 表示不超过x 的最大整数，则下面关系 式恒成立的是（ ） A. 22 11 11 x y >++ B.( )( ) 2 2 ln 1ln 1x y +>+ C.11x y x y -> - D.[][]x y ≥ 【答案】D 【解析】根据条件求出x y >，结合不等式的关系，利用特殊值法进行判断即可． 【详解】 当01a <<时，由x y a a <得x y >， A ．当1x =，1y =-，满足x y >但2211 11x y =++，故A 错误， B ．当1x =，1y =-，满足x y >，22(1)(1)ln x ln y +=+，但22 (1)(1)ln x ln y +>+不成
2020北京交大附中高一（上）期中 数 学 2020.11 说明：本试卷共4页，共120分。考试时长90分钟。 一、选择题（共10小题,共40分） 1.已知集合 ，，则 A. C. 2.已知命题 ，关于x 的方程 有解，则 A.0c ?>，方程无解 B.0c ?≤，方程有解 C.0c ?>，方程无解 D.0c ?≤，方程有解 3.如果 A. B. D. 4.下列各组函数 与 A. ， B.， C.， D. ， 5.下列函数中，在区间 A. B. C. D. 6. 是关于的方程 A.充分不必要条件 B.必要不充分条件 C.充要条件 D.既不充分也不必要条件
7.函数 A. B. C. D. 8.已知函数与函数的图象关于轴对称，若在区间内单调递减，则的取值范围 9.一位手机用户前四次输入四位数字手机密码均不正确，第五次输入密码正确，手机解锁.事后发现前四次输入的密码中，每次都有两个数字正确，但它们各自的位置均不正确.已知前四次输入密码分别为3406，1630，7364，6173，则正确的密码中一定含有数字() A.4，6 B.3，6 C.3，7 D.1，7 10.设集合A 是集合* N 的子集，对于i ∈* N ，定义1, , ()0, .i i A A i A ?∈?=??? 给出下列三个结论： ①存在*N 的两个不同子集A ，B ，使得任意i ∈* N 都满足()0i A B ?=且()1i A B ?=； ②任取*N 的两个不同子集A ，B ，对任意i ∈* N 都有()()()i i i A B A B ???=?； ③任取* N 的两个不同子集A ，B ，对任意i ∈* N 都有()()()i i i A B A B ???=+. 其中所有正确结论的序号是 A.①② B.②③ C.①③ D.①②③ 二、填空题（共5小题,共20分） 11.函数的定义域为_________．
上海交通大学附属中学第二学期 高一语文期中试卷 （满分100分，120分钟完成，答案一律写在答题纸上） 一、阅读下文，完成1-4题（11分）。 ①谎言都是虚构的，但虚构的未必就是谎言，就如这世界的艺术舞台上最伟大的悲剧、喜剧大多是虚构的，但它们恰恰因为“虚构”才更有震撼人们灵魂、启迪人们心智的伟大力量。因为这样的虚构是概括了千头万绪的社会表象之后而从中结晶出来的本质。 ②几日前，央视的科学教育频道报道，史学界有专家对秦王朝的阿房宫真实性提出了有根有据的否定。基本上已认定，司马迁在《史记?秦始皇本纪》中说到的“阿房宫”为子虚乌有，即便往大了说，也仅仅认为那是个没有完工的“烂尾工程”。 ③听到这个消息真让我好伤心，我伤心的倒不是司马迁的“造假”，而是我们当今的史学专家们，千嘛非要戳穿这个比真实都更真实的谎言呢。阿房宫在中国朝野的所有人心中就是秦王朝暴敛民脂民膏的见证，阿房宫就是秦始皇行淫寻乐的天堂，阿房宫就是秦王朝走向灭亡的墓穴。 ④因为有了司马迁笔下的阿房宫，才让历代的王朝在夺得江山后大兴土木、兴建宫殿的狂欲有所收敛。司马迁告诫历代王朝，强大的秦王朝覆灭，虽然不全是阿房宫惹的祸，但在这祸水之中，绝对有阿房宫的一瓢水，这己让历代帝王和谏官们都深信不疑，并成了一个王朝在巩固自己的地位、教导徒孙们的一面镜子了。 ⑤到了唐代，杜牧的《阿房宫赋》这篇文学作品使司马迁那寥寥的笔墨一下了就丰润饱满了，这篇作品的史学警诫价值远远大于它的文学审美意义。 ⑥杜牧凭着他的文学天赋，极力铺叙阿房官建造的豪华，“五步一楼、十步一阁”(能有这么密的建筑吗？)“廊腰缦回，檐牙高啄”，“覆压三百余里，隔离天日”(太夸张了)，从骊山一直建到咸阳，遮蔽了天空和太阳。一天之内，一座宫殿里，竟有不同的气候。杜牧这样竭尽笔力渲染阿房宫的奢华，其目的就是要告诫后人，这样穷凶极恶地暴殄天物，就是为自己掘墓。“秦人不暇自哀，而后人哀之，，。”这才是杜牧写《阿房宫赋》的目的。 ⑦别小看了这两篇虚构的文字，它们在某些时候真能起整个封建王朝想大兴土木时的一个“诽谤木”作用了。这可不仅仅是几句简单的告诫，因为那伟大的文字后边，还有个强大王朝的覆灭作了注脚。哪个皇帝都不怕诅咒和谩骂，但哪个皇帝不怕自己的江山动摇呢?所以中国的历代封建皇帝在建造宫殿时，没人再敢超过那个虚构的阿房宫了。这不仅是皇帝宝座的万幸，也是老百姓的万幸，伟大的虚构如此看来也是有力量的。因为虚构的是细节，真实的却是事物内在的本质，否则谎言怎么会有力量呢。