静安区2015学年第一学期高三年级质量检测

上海市静安区 2015 届高三第一学期期末教课质量检测历史试卷注意：1.本检测设试卷和答题纸两部分，所有答题一定写在答题纸上，做在试卷上一律无效。

答题纸与试卷上的试题编号一一对应，答题时应特别注意，不可以错位。

2.检测时间 120 分钟，试卷满分 150 分。

一、选择题（本大题共35 小题，第 1-30 题每题 2 分，第 31-35 题每题 3 分，共 75 分）1.种姓制度是古代印度的一种政治制度。

它始创时的功能主假如划分A．征服者与被征服者B．老百姓与贵族C．本邦人与外邦人D．农民与农奴2．在希腊城邦的全盛期间，社会经济文化等各个方面全面发展。

以下事件或成就，属于这一期间的是A ．《荷马史诗》C．梭伦改革B．柏拉图的《理想国》D．克利斯提尼改革3．以下政权中，拥有政教合一特点的是A ．罗马帝国C．雅典城邦B．法兰克王国D．奥斯曼帝国4．在中世纪西欧城市中兴过程中，最初的建城者是：①手工业者②封建领主A ．①②③ B．②③③商人C．①②④农奴D．①③5．“山西襄汾县的陶寺旧址，距今约4000 多年分为大、中、小三类。

大墓随葬品有100 —200 件不等；中墓随葬品有几件至几十件不等；小墓多半没有木棺，也没有随葬品。

” 据此可知，当时的社会情况是A．均匀分派共同耕种B．社会分化十分明显C．等级威严王位世袭D．收集渔猎茹毛饮血6．“吾辈生于今天，幸于纸上之资料外，更得地下之新资料此二重凭证法，唯在今天始得为之。

”（王国维语）以下搭配与该说法符合的是A．青铜器皿——《封神演义》B．甲骨卜辞——《史记﹒殷本纪》C．甲骨卜辞——青铜器皿D．《史记﹒殷本纪》——《封神演义》7．为了增强中央对地方的控制，进而实现“封建亲戚，以藩屏周”的目的，西周统治者将同姓诸侯A ．分插到各地方国之间B．部署在边境要塞之地C．集中于王都之地邻近D．部署在殷商遗民四周8．春秋战国期间，面对着强烈改革、实力竞争的场面，“士”阶层中的有识之士纷繁提出了各自的治国救世的主张。

2015学年第一学期静安区高三英语练习卷第I卷（共103分）Ⅰ. Listening ComprehensionSection A Short ConversationsDirections: 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. 20 pounds. B. 60 pounds. C. 30 pounds. D. 40 pounds.2. A. At 7:10. B. At 8:00. C. At 7:50. D. At 7:30.3. A. A teacher. B. A student. C. A lawyer. D. A friend.4. A. Because there was a heavy traffic.B. Because he has been somewhere else.C. Because he was caught by the police.D. Because he doesn’t like going to school.5. A. Looking for a timetable. B. Buying some furniture.C. Reserving a table.D. Window shopping.6. A. Henry doesn’t like the color. B. Someone else painted the house.C. There was no ladder in the house.D. Henry painted the house himself.7. A. She doesn’t spend much time with her friends.B. She doesn’t like her new school.C. She has adapted easily to her new school.D. She spends most of her free time at school.8. A. Jim is very interesting. B. Jim hasn’t found anything.C. Jim has got a new job.D. Jim is very lazy.9. A. They are disappointed in the recent changes.B. They are delighted at the taste of the Italian food.C. They are not happy with the price.D. They are satisfied with the chef newly employed.10. A. She would rather invite more people to come.B. They would prepare more food and drinks.C. There was too much food at the previous meeting.D. The family members always eat a lot.Section BDirections: 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 onlyonce. 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 passage.11. A. In a library. B. In a classroom.C. In a laboratory.D. In a computer room.12. A. Reading and writing. B. Grammar and computer.C. Listening and speaking.D. Pronunciation and self-study.13. A. A book review. B. A classroom rule.C. A visit plan.D. A weekly timetable.Questions 14 through 16 are based on the following passage.14. A. In spring. B. In summer. C. In fall. D. In winter.15. A. Confusing. B. Innovative. C. Amusing. D. Wasteful.16. A. To standardize daylight savings time.B. To establish year-round daylight savings time.C. To end daylight savings time.D. To shorten daylight savings time.Section CDirections: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.Blanks 17 through 20 are based on the following conversation.Blanks 21 through 24 are based on the following conversation.II. Grammar and VocabularySection ADirections: 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 ofthe given word; for the other blanks, use one word that best fits each blank.(A)One of my favourite moments as a physician occurs when, with a very somber look, I inform patients that there’s one thing they absolutely(25)_______do in order to make a successful recovery after a cardiac event: Go home and laugh until they cry.You see, we now know that there’s far more to maintaining heart health and reversing heart disease (26) _______ diet, exercise, and cholesterol level. The latest research indicates that stress, and an inability (27) __________(deal with)it, is a direct contributor to heart disease. For example, a study involving nearly 250,000 people found that anxiety (28) _________ (associate) with a 26 percent increase in coronary heart disease over an 11-year period.Anger and hostility rank at the top of the list of heart-harmful emotions. Harvard Medical School researchers recently found that 40 percent of patients (29) ________suffered a heart attack reported significant anger within the previous year, and roughly 8 percent of that group reported that they felt rage within two hours of heart attack symptoms.But(30) ________ studies reveal a great deal about the harm that negative emotions deliver to the heart, they also clearly demonstrate the amazing healing power of positive emotions. In my 25 years as a cardiologist (31) _______(perform)clinical trials and treating patients, I’ve seen firsthand (32) ________ we can harness optimism, confidence, laughter, social connections, and relaxation to help our hearts get and stay healthy.(B)Why Finnish Babies Don’t Sleep in Cribs.For expectant parents in Finland, their ―bundle of joy‖ isn’t just the baby. Since 1938, new mothers and fathers have received a cardboard box, often (33) _______(use)as the baby’s first crib, filled with a small mattress, blankets, infant clothes, outerwear, toiletries, and more.The Finnish government supplies the boxes, (34) _______(say)the gift encourages good parenting habits and aims to give all the children (35) _______ equal start.Some experts think that the start kit has even helped Finland achieve one of the world’s (36) _______(low) infant-mortality rates.Before the tradition began, when many Finnish babies slept in their parents’ beds, 65 out of 1,000 babies died each year. (37) _______ the introduction of the box—and the custom of having babies sleep separately from their parents—Finland’s infant-mortality rate has plummeted to only 3.4 deaths of for every 1,000 babies.Over the years, the box’s contents (38) _________(often reflect) historical trends. Until 1957, the kids contained plain fabric that mothers would use to sew the baby’s clothes. Stretchy fabrics appeared in the 1960s; disposable diapers debuted in 1969. As more women began careers in the 1970s, the layette came in easy-to-clean stretch cotton. In 2006, cloth diapers reappeared for environmental reasons, and bottles were removed to promote breast-feeding.―It’s easy to know when babies were born (39) _______ the box changes a little each year,‖Titta Vayrynen, 35 and the mother of two young boys, told a reporter for the BBC. ―It’s nice to compare clothes and think, That kid was born the same year as (40) _______.‖Section BDirections: 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.The next generation may lose the opportunity to swim over coral reefs (珊瑚礁) or eat certain species of fish, scientists have warned, as the world’s oceans move into a stage of widespread extinction because of human 41 such as overfishing and climate change.A report from an international group of marine experts said that the co ndition of the world’s seas was worsening more quickly than had been 42 . The scientists, who gathered at Oxford University, warned that we would 43 the whole ecosystems, such as coral reefs in a generation. Already the number of fish is dropping, leading to risk of rising food prices and even starvation in some parts of the world.The experts 44 the increased amount of carbon dioxide in the atmosphere for pushing up ocean temperature, the increased algae (海藻) concentration in the water, which made the water have less oxygen. The conditions are 45 to every previous mass extinction event in the Earth’s history.Dr Alex Rogers, scientific director of the International Programme on the State of the Ocean said the next generation would suffer if species are allowed to go 46 . ―As we considered the cumulative (积累的) effect of what humankind had done to the ocean were far worse than we had ___47___ realized,‖ he said. ―This is a very serious situation 48quick and effective action at every level. We are looking at 49 for humankind that will influence in our lifetime and, worse, our children’s and generations beyond that.‖The marine scientists called for a range of urgent 50 to cut carbon emissions (排放), reduce overfishing, create protected areas in the seas and cut pollution.III. Reading ComprehensionSection ADirections: For each blank in the following passage 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.People on a college campus were more likely to give money to the March of Dimes if they were asked for a donation by a disabled woman in a wheelchair than if asked by a nondisabled woman. In another _ 51_ , subway riders in New York saw a man carrying a stick stumble（绊脚）and fall to the floor. Sometimes the victim had a large red birthmark on his _ 52_ ; sometimes he did not. In this situation, the victim was more likely to _53 _ aid if his face was spotless than if he had an unattractive birthmark. In _54_ these and other research findings, two themes are _55_ : we are more willing to help people we like for some reason and people we think _ 56 _ assistance.In some situations, those who are physically attractive are more likely to receive aid. _57_ , in a field study researchers placed a completed application to graduate school in a telephone box at the airport. The application was ready to be _58_, but had apparently been "lost". The photo attached to the application was sometimes that of a very _59 _ person and sometimes that of a less attractive person. The measure of helping was whether the individual who found the envelope actually mailed it or not. Results showed that people were more likely to_ 60_ the application ifthe person in the photo was physically attractive.The degree of _ 61_ between the potential helper and the person in need is also important. For example, people are more likely to help a stranger who is from the same country rather than a foreigner. In one study, shoppers on a busy street in Scotland were more likely to help a person wearing a(n) _62_ T-shirt than a person wearing a T-shirt printed with offensive words.Whether a person receives help depends in part on the "worth" of the case. For example, shoppers in a supermarket were more likely to give someone _63 _ to buy milk rather than to buy cookies, probably because milk is thought more essential for _64_ than cookies. Passengers on a New York subway were more likely to help a man who fell to the ground if he appeared to be _65_ rather than drunk.51. A. study B. way C. word D. college52. A. hand B. arm C. face D. back53. A. refuse B. beg C. lose D. receive54. A. challenging B. recording C. understanding D. publishing55. A. important B. possible C. amusing D. missing56. A. seek B. deserve C. obtain D. accept57. A. At first B. Above all C. In addition D. For example58. A. printed B. mailed C. rewritten D. signed59. A. talented B. good-looking C. helpful D. hard-working60. A. send in B. throw away C. fill out D. turn down61. A. similarity B. friendship C. cooperation D. contact62. A. expensive B. plain C. cheap D. strange63. A. time B. instructions C. money D. chances64. A. shoppers B. research C. children D. health65. A. talkative B. handsome C. calm D. sickSection BDirections: Read the following three 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)It’s not easy being a teenager – nor is it easy being the parent of a teenager. You can make your child feel angry, hurt, or misunderstood by what you say without realizing it yourself. It is important to give your child the space he needs to grow while gently letting him know that you’ll still be there for him when he needs you.Expect a lot from your child, just not everything. Except for health and safety problems, such as drug use or careless driving, consider everything else open to discussion. If your child is unwilling to discuss something, don’t insist he tell you what’s on his mind. The more you insist, the more likely that h e’ll clam up. Instead, let him attempt to solve things by himself. At the same time, remind him that you’re always there for his should he seek advice or help. Show respect for your teenager’s privacy. Never read his mail or listen in on personal conv ersations.Teach your teenager that the family phone is for the whole family. If your child talks on thefamily’s telephone for too long, tell him he can talk for 15 minutes, but then he must stay off the phone for at least an equal period of time. This not only frees up the line so that other family members can make and receive calls, but teaches your teenager moderation (节制). Or if you are open to the idea, allow your teenager his own phone that he pays for with his own pocket money or a part-time job.66. The main purpose of the text is to tell parents ______.A. how to get along with a teenagerB. how to respect a teenagerC. how to understand a teenagerD. how to help a teenager grow up67. What does the phrase ―clam up‖ in Paragraph 2 proba bly mean?A. become excitedB. show respectC. refuse to talkD. seek help68. The last paragraph is about how to teach a teenager ______.A. to use the phone in a sensible wayB. to pay for his own telephoneC. to share the phone with friendsD. to answer the phone quickly69. What should parents do in raising a teenager according to the text?A. Not allow him to learn driving or take drugs.B. Give him advice only when necessary.C. Let him have his own telephone.D. Not talk about personal things with him.BTroubled by the poor performance of their investments, many people are taking steps to stop decrease of their savings and rethink their financial plans. They are not sure what to do to maximize returns in light of stock market fluctuations, new tax laws, low interest rates and skyrocketing real estate values. ―People are afraid of making a mistake and losing more money,"‖ says financial counselor Denise Hughes. "The do-it-yourself investor of the 1990s is more comfortable now doing nothing." But doing nothing isn't better than doing something smart, especially as college, weddings and retirement loom. Here's what financial advisors are recommending to their clients:Plan for financial aidMost parents don't save nearly enough for children's education. They assume that investing in a 529 college plan is the best place for your savings. While a 529 plan offers tax-free growth and withdrawals for college costs, colleges look at these savings when evaluating their qualification and how much they will hand over. Do save aggressively for college in a taxable account in your name if your household income is below $ 100,000. In this case, your child will likely qualify for some financial aid. Do invest in a 529 savings plan if your income is higher than $100,000 and will likely remain at or above that level when your child enters college. In this case, the 529 plan is great because you probably won't qualify for financial aid anyway.Expect ups and downsAnnoyed by three straight years of stock market declines, many people have been shifting to lower-risk investments. But just as taking too much risk can hurt your portfolio's(投资组合) growth rate, so can hiding out in excessive safe investments paying 1% or less.Do consider investing in funds that you'll hold on to for more than a year. Under the new tax law, long-term capital gains are taxed at a maximum of 15%, down from 20%. Do look at stock funds that pay dividends (红利). Dividends on stocks used to be taxed at your personal income tax rate. Under the new law, they are now taxed at no more than 15%. Investing in these funds will not only hold down taxes but also sustain your portfolio's value in tough times.Forget high feesOver the next ten years, achieving the kind of double-digit returns we experienced over the past 20 years will be much harder. In the 1990s, the average rate of return for a portfolio allocated (配给) 60% to stocks and 40% to bonds was 13.2% after taxes and transaction expenses. Over the coming decade, this rate is expected to be closer to 5.5%. Don't pay unnecessarily high investment costs and fees. For example, if you can save half a percentage point on your fund expense ratio （the fee that funds charge you each year to manage your money）, your average investment return could be 6% instead of 5%.70. Which of the following is NOT true about the investors of the 1990s？A. They might need professional help.B. They live a comfortable life now with nothing to do.C. They are afraid of making wrong decisions and losing money.D. They are trying to protect what they make and save rather than taking risks.71. According to the passage, a 529 savings account ______.A. is the best choice for low-income familiesB. offers tax-free growth and withdrawalsC. works best for those who are not qualified for financial aidD. should start in your child's name72. According to the expert, which of the following can help your portfolio's return rate to grow?A. Allocating 40% of your portfolio to stocks and 60% to bonds.B. Hiding out in ultra-safe investments paying 1% or less.C. Investing long term in funds that pay dividends.D. Making high-risk and high-return investments.73. On average, according to the experts, how much can you expect of an investment return in the near future?A. Below 1%.B. About 6%.C. Above 8%.D. Close to 13.2%.CWhat are feelings for? Most nonscientists will find it a strange question. Feelings justify themselves. Emotions give meaning and depth to life. They exist without serving any other purposes. On the other hand, many evolutionary biologists acknowledge some emotions primarily for their survival function. For both animals and humans, fear motivates the avoidance of danger, love is necessary to care for the young, and anger prepares one to hold ground. But the fact that a behavior functions to serve survival need not mean that. Other scientists have regarded the same behavior as conditioning and learned responses. Certainly reflexes(反射) and fixed action patterns can occur without feeling or conscious thought. A baby seagull pecks(啄) at a red spot on thebill(喙) of its parent. The seagull parent feeds its baby when pecked on the bill and the baby gets fed. The interaction need have no emotional content.At the same time, there is no reason why such actions cannot have emotional content. In mammals that have given birth including humans, milk is often released automatically when a new baby cries. This is not under intended control but it is reflex. Yet this does not mean that feeding a new baby is exclusively reflex and expresses no feeling like love. Humans have feelings about their behavior even if it is conditioned or reflexive. Yet since reflexes exist and conditioned behavior is widespread, measurable, and observable, most scientists try to explain animal behavior by using only these concepts. It is simpler.Preferring to explain behavior in ways that fit science's methods most easily, scientists have refused to consider any causes for animal behavior other than reflexive and conditioned ones. Scientific orthodoxy (正统) holds that what cannot be readily measured or tested cannot exist, or is unworthy of serious attention. But emotional explanations for animal behavior need not be impossibly complex or unstable. They are just more difficult for the scientific method to check on in the usual ways, so cleverer and more skillful approaches are called for. Most branches of science are more willing to make successive evaluation of what may prove ultimately unknowable, rather than ignoring it altogether.74. The example of the baby seagull pecking the parent’s bill is used to support that ______.A. it is an inborn ability for adults to look after the youngB. behaviors can be learned and involve no emotionsC. emotions are of great importance for survivalD. it takes time for animals to be conditioned75. Which of the following can be learned from the passage?A. Breast-feeding a baby is conditioned or reflective but have no emotional connection.B. Reflexes and conditioning will lead to a better understanding of animal emotions.C. Scientists usually apply reflexes and conditioning in explaining animal behaviors.D. Many evolutionary biologists believe that emotions are to some degree for survival.76. To study animal emotions, scientists should ______.A. analyze human emotionsB. distinguish what is emotionalC. set up improved experimentsD. learn from animal behaviorists77. What is the author’s main purpose of writing this passage?A. To illustrate that emotions are worth our attention.B. To compare human emotions with animal emotions.C. To discuss the importance and usefulness of emotions.D. To explain what reflexive and conditioned behaviors are.Section DDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.―In Scotland, illness treatment is considered urgent; in Canada, it's considered inevitable. However in America, it is resource-consuming.‖Though the remarks seem like jokes, real data support the point. Medicare statistics, for example, reveal that we Americans lead the world in theamount of medical services used during the last six months of a person's life. Senior citizens here are big consumers of healthcare, using ambulances three times as often as seniors elsewhere. Commercial insurance data point to similar patterns in the healthcare of the younger population too, a ground few would argue against.What explains such a phemonemon? There is plenty of blame to go around. Both physicians and patients have referred to a "more is better" approach that adds cost without necessarily leading to better outcomes.In the past, doctors in fee-for-service systems have been suspected of doing too much testing to generate more income. Now new networks track doctors' treating record in the hope to discourage unnecessary testing. Patients, on the other hand, are worried about denial of services. Doctors can find themselves caught in a bind between anxious and worrying patients and insurance networks that dismiss doctors with inefficient practice patterns.Upset factors, such as malpractice concerns and falling fees, among which the worsening doctor-patient relationship tops the ranking list—are contributing to the nation's increasing shortage of primary-care doctors.Is there a better way to do this, without limiting a patient's choice or lowering the quality of healthcare?One solution is that we can introduce care organizations, which have the goal of improving both patients' health outcomes and the efficient use of resources. Like an HMO, this new kind of care organization involves networks of doctors, hospitals and patients. By carefully balancing care among doctors computerized medical records to identify the appropriate use of services, it encourages preventive care and measure quality.Given the obvious benefits during its pilot time, we are also encouraged to look at the program called Choosing Wisely. The program is aimed at encouraging both physicians and patients, with the help of professional model, to carefully consider the wisdom of medical procedures. In most cases, useless procedures are not only wasting money, but also subjecting patients to additional risk without the potential to improve their health.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)78. Commercial insurance data are mentioned in the first paragraph to show that ______.79. Patients’ ______ attitude towards medical care caused today’s overtreatment.80. What is the leading reason for the lack of primary-care doctors?81. What are the two methods to fight the overtreatment problem?第II卷（共47分）I. Translation (22 分)Directions: Translate the following sentences into English, using the words given in the brackets.1. 现在人们越来越关注青少年的心理健康。

上海市静安区2015届高三第一学期期末教学质量检测语文试题1．本考试设试卷和答题纸两部分，试卷包括试题与答题要求，所有答案必须写在答题纸上，在试卷上答题一律不得分。

2．答题纸与试卷在试题编号上是一一对应的，答题时应注意，不能错位，不要遗漏。

3．考试时间150分钟。

试卷满分150分。

一阅读（80分）（一）阅读下文，完成1-6题。

（18分）文字细节①在乔治〃奥威尔《1984》中，只有一个词是特别为了吸引读者而写的：四月份一个晴朗、寒冷的日子里，时钟敲了十三下。

温斯顿〃史密斯下巴紧挨着胸膛，想躲避讨厌的寒风吹袭，他快速地通过胜利大厦的玻璃门，但还是免不了刮进一些砂石。

而这两个字也显示，小说的场景要不是指某个我们不熟悉的文明，就是指未来。

有些事情没有改变，月份依然叫四月，寒风依然难受，但有些事情改变了，从寻常与陌生的并列中，句子产生了某种特殊效果。

有人可能觉得，这个细节有点太刻意了，它似乎过于大声地宣布，‚这是一部科幻小说‛。

③实际上，这是一部反乌托邦小说，描述一个专制的全能的国家可以操纵一切，从过去的历史到民众的心灵习惯，无所不包。

无疑地，胜利大厦就是因此得名。

不过，第二句话却为这个阴郁的环境带来一点希望。

当温斯顿〃史密斯进入大厦时，一阵风卷起的砂石跟着他一起进到大厦内；虽然小说本身似乎把这种状况当成一种负面的现象（‚讨厌‛的寒风吹袭），但读者会发现，与全能的国家相比，飞砂走石其实好得多。

砂石代表着随机与偶然。

它们代表了无韵律或无理性之物，不会灌输他们已经安排过的各种意义。

因此，我们也许可以把砂石看成是小说描述的极权政权的相反物。

同样地，这阵风可以视为反对管制人类的一股力量。

它任意地吹着，一下子吹向这里，一下子吹向那里。

它没有韵律，也没有理性。

④作家也许在这里暗示，国家无法如其宣称的那样万能，并非连自然界也能完全掌控。

极权国家对于它们无法改造成秩序的东西特别感到不安。

或许这个政权无法排除偶然，就像胜利大厦无法完全隔绝砂石一样。

上海市静安区2015届高三（上）期末数学试卷参考答案与试题解析一、填空题（本大题满分44分）本大题共有14题，考生应在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分．1．计算：= ．考点：极限及其运算．专题：导数的概念及应用．分析：利用数列极限的运算法则即可得出．解答：解：原式==．故答案为：．点评：本题考查了数列极限的运算法则，属于基础题．2．已知集合M={y|y=2x，x≥0}，N={x|y=lg（2x﹣x2）}，则M∩N=（0，2）．考点：交集及其运算．专题：集合．分析：利用交集的定义和对数函数的性质求解．解答：解：∵集合M={y|y=2x，x≥0}={y|y≥0}，N={x|y=lg（2x﹣x2）}={x|2x﹣x2＞0}={x|0＜x＜2}，∴M∩N=（0，2）．故答案为：（0，2）．点评：本题考查交集的求法，是基础题，解题时要注意对数函数的性质的合理运用．3．设（1﹣x）8=a0+a1x+…+a7x7+a8x8，则|a0|+|a1|+…+|a7|+|a8|= 256 ．考点：二项式系数的性质．专题：二项式定理．分析：由题意可得（1+x）8=|a0|+|a1|x+…+|a7|x7+|a8|x8，在此等式中，令x=1，可得|a0|+|a1|+…+|a7|+|a8|的值．解答：解：由题意可得（1+x）8=|a0|+|a1|x+…+|a7|x7+|a8|x8，在此等式中，令x=1，可得|a0|+|a1|+…+|a7|+|a8|=28=256，故答案为：256．点评：本题主要考查二项式定理的应用，注意根据题意，分析所给代数式的特点，通过给二项式的x赋值，求展开式的系数和，可以简便的求出答案，属于基础题．4．已知等差数列{a n}的首项为3，公差为4，则该数列的前n项和S n= 2n2+n ．考点：等差数列的前n项和．专题：等差数列与等比数列．分析：由题意代入等差数列的求和公式可得．解答：解：由题意可得a1=3，公差d=4，∴S n=na1+ d=3n+2n（n﹣1）=2n2+n故答案为：2n2+n．点评：本题考查等差数列的求和公式，属基础题．5．不等式1﹣＜0的解集是（，4）．考点：其他不等式的解法．专题：计算题；不等式的解法及应用．分析：原不等式即为或，分别解出它们，再求交集即可．解答：解：不等式1﹣＜0即为＜0，即为或，即有x∈∅或＜x＜4，则解集为（，4）．故答案为：（，4）．点评：本题考查分式不等式的解法，考查转化为一次不等式组求解，考查运算能力，属于基础题．6．一个不透明袋中有10个不同颜色的同样大小的球，从中任意摸出2个，共有45 种不同结果（用数值作答）．考点：组合及组合数公式．专题：概率与统计．分析：由题意可得共有种不同结果．解答：解：一个不透明袋中有10个不同颜色的同样大小的球，从中任意摸出2个，共有=45种不同结果．故答案为：45．点评：本题考查了组合数的计算公式，属于基础题．7．（4分）理：如图，在四棱锥P﹣ABCD中，已知PA⊥底面ABCD，PA=1，底面ABCD是正方形，PC与底面ABCD所成角的大小为，则该四棱锥的体积是．考点：棱柱、棱锥、棱台的体积．专题：空间位置关系与距离．分析：根据几何体的性质得出Rt△PAC中，PA=1，∠PCA=，AC=，运用体积公式求解即可．解答：解：∵PA⊥底面ABCD，底面ABCD是正方形，PC与底面ABCD所成角的大小为，∴Rt△PAC中，PA=1，∠PCA=，AC=，∵底面ABCD是正方形，∴AB=，V=×1=故答案为：；点评：本题考查了空间直线平面的几何性质，夹角，体积计算问题，属于中档题．8．不等式的解集是（，4）．考点：其他不等式的解法．专题：计算题；不等式的解法及应用．分析：不等式即为或，分别求出它们，再求并集即可．解答：解：不等式即为或，即x∈∅或＜x＜4，则解集为（，4）．故答案为：（，4）．点评：本题考查分式不等式的解法，考查转化为一次不等式组求解，考查运算能力，属于基础题．9．文：已知数列{a n}的通项公式a n=22﹣n+2n+1（其中n∈N*），则该数列的前n项和S n=．考点：数列的求和．专题：等差数列与等比数列．分析：首先把数列的通项公式进行转换，进一步利用等比数列的前n项和公式进行求解．解答：解：数列数列{a n}的通项公式：整理得：则：+2（21+22+…+2n）=4•+2==故答案为：点评：本题考查的知识要点：数列通项公式的应用，等比数列前n项和的应用．属于基础题型．10．（4分）已知两个向量，的夹角为30°，，为单位向量，，若，则t= ﹣2 ．考点：平面向量数量积的运算．专题：计算题；平面向量及应用．分析：运用平面向量的数量积的定义和向量垂直的条件即为数量积为0，计算即可得到t．解答：解：两个向量，的夹角为30°，，为单位向量，则=||•||•cos30°==，由，若，则•（t+（1﹣t））=0，即t+（1﹣t）=0，即有t+1﹣t=0，解得，t=﹣2．故答案为：﹣2．点评：本题考查平面向量的数量积的定义和性质，考查运算能力，属于基础题．11．已知圆锥底面的半径为1，侧面展开图是一个圆心角为的扇形，则该圆锥的侧面积是3π．考点：旋转体（圆柱、圆锥、圆台）．专题：空间位置关系与距离．分析：根据已知中圆锥底面的半径为1，侧面展开图是一个圆心角为的扇形，计算出圆锥母线的长度，进而可得该圆锥的侧面积．解答：解：∵圆锥底面的半径r=1，侧面展开图是一个圆心角为的扇形，故圆锥的母线l满足：，解得：l=3，∴该圆锥的侧面积S=πrl=3π．故答案为：3π点评：本题考查的知识点是旋转体，圆锥的侧面积，其中根据，求出圆锥的母线长度，是解答的关键．12．（4分）已知f（x）=x|x﹣1|+1，f（2x）=（其中x＞0），则x= ．考点：函数的值．专题：函数的性质及应用．分析：由已知得，由此能求出．解答：解：∵f（x）=x|x﹣1|+1，f（2x）=（其中x＞0），∴，∴，∵x＞0，∴（2x）2﹣2x﹣=0，解得2x=，∴．故答案为：．点评：本题考查函数值的求法及应用，是基础题，解题时要注意函数性质的合理运用．13．已知角α的顶点与直角坐标系的原点重合，始边在x轴的正半轴上，终边在射线y=﹣2x （x≤0）上，则sin2α=．考点：任意角的三角函数的定义．专题：三角函数的求值．分析：由题意根据任意角的三角函数定义求出sinα与cosα的值，进而确定出sin2α的值．解答：解：根据题意得：tanα=﹣2，sinα=，cosα=﹣，∴sin2α=2sinαcosα=﹣2××=．故答案为：．点评：此题考查了两角和与差的正弦函数公式，以及任意角的三角函数定义，熟练掌握公式是解本题的关键．14．（4分）理：已知△ABC的顶点A（2，6）、B（7，1）、C（﹣1，﹣3），则△ABC的内角∠BAC 的大小是arccos．（结果用反三角函数值表示）考点：余弦定理．专题：解三角形．分析：由三点坐标，利用两点间的距离公式求出a，b，c的值，利用余弦定理求出cos∠BAC 的值，即可确定出∠BAC的度数．解答：解：∵△ABC的顶点A（2，6）、B（7，1）、C（﹣1，﹣3），∴|AB|=c==5，|AC|=b==3，|BC|=a==4，∴cos∠BAC===，则∠BAC=arccos，故答案为：arccos点评：此题考查了余弦定理，两点间的距离公式，熟练掌握余弦定理是解本题的关键．15．（4分）若α，β是一二次方程2x2+x+3=0的两根，则= ﹣．考点：二次函数的性质．专题：函数的性质及应用．分析：由已知结合韦达定理，可得α+β=﹣，α•β=，进而根据=代入可得答案．解答：解：∵α，β是一二次方程2x2+x+3=0的两根，∴α+β=﹣，α•β=，∴===﹣，故答案为：﹣点评：本题考查的知识点是根与系数的关系（韦达定理），难度不大，属于基础题．16．已知两条直线的方程分别为l1：x﹣y+1=0和l2：2x﹣y+2=0，则这两条直线的夹角大小为arctan（结果用反三角函数值表示）．考点：两直线的夹角与到角问题．专题：直线与圆．分析：这两条直线的斜率分别为1和2，设这两条直线的夹角大小为θ，再利用两条直线的夹角公式求得这两条直线的夹角大小．解答：解：这两条直线的斜率分别为1和2，设这两条直线的夹角大小为θ，则由tanθ=||=||=，∴θ=arctan，故答案为：．点评：本题主要考查两条直线的夹角公式的应用，反正切函数，属于基础题．17．（4分）（2012•绍兴一模）已知tanα，tanβ是方程x2+3x+4=0的两根，α，β∈（﹣，）则α+β=﹣．考点：一元二次方程的根的分布与系数的关系；两角和与差的正切函数．专题：计算题．分析：此题运用根与系数的关系求出tanα+tanβ的值和tanαtanβ的值，根据两角和与差的正切公式即可求出α+β，但一定要注意α，β的范围解答：解：tanα，tanβ是方程的两根，tanα+tanβ=﹣3，tanαtanβ=4，tan（α+β）==又∵α、β∈（﹣，），∴α+β∈（﹣π，π）．又∵tanα+tanβ=﹣3，tanα•tanβ=4，∴α、β同为负角，∴α+β=﹣．故答案为﹣点评：此题考查根与系数的关系和两角和的正切，解题时一定要注意α，β的角度范围，这是本题容易出错的地方18．直线l经过点P（﹣2，1）且点A（﹣2，﹣1）到直线l的距离等于1，则直线l的方程是或．考点：点到直线的距离公式．专题：直线与圆．分析：当直线l的斜率不存在时，直线l的方程为x=﹣2，不成立；当直线l的斜率存在时，设直线l；kx﹣y+2k+1=0，则=1，由此能求出直线l的方程．解答：解：当直线l的斜率不存在时，直线l的方程为x=﹣2，不成立；当直线l的斜率存在时，设直线l；y﹣1=k（x+2），即kx﹣y+2k+1=0，∵点A（﹣2，﹣1）到直线l的距离等于1，∴=1，解得k=，∴直线l的方程为：或．故答案为：或．点评：本题考查直线方程的求法，是基础题，解题时要认真审题，注意点到直线的距离公式的合理运用．19．（4分）已知实数x、y满足|x|≥|y|+1，则的取值范围是[﹣2，2] ．考点：简单线性规划．专题：不等式的解法及应用．分析：先画出满足条件的平面区域，设z=，则y=zx+2，将问题转化为求直线的斜率的范围，通过图象求出答案．解答：解：画出满足条件|x|≥|y|+1的平面区域，如图示：，设z=，则y=zx+2，当直线过（﹣1，0）时，z最小为：﹣2，当直线过（1，0）时，z最大为：2，∴﹣2≤z≤2，故答案为：[﹣2，2]．点评：本题考查了线性规划问题，考查了数形结合思想，考查了转化思想，是一道中档题．21．一个无穷等比数列的首项为2，公比为负数，各项和为S，则S的取值范围是0＜S＜2 ．考点：等比数列的前n项和．专题：计算题．分析：设等比数列的公比为q，则q＜0，由题意可得S==，可得＜0，从而可求S的范围解答：解：设等比数列的公比为q，则q＜0∵S==∴＜0∴0＜S＜2故答案为：0＜S＜2点评：本题主要考查了无穷等比数列的各项和公式的应用，属于基础试题22．（4分）理：两名高一年级的学生被允许参加高二年级的学生象棋比赛，每两名参赛选手之间都比赛一次，胜者得1分，和棋各得0.5分，输者得0分，即每场比赛双方的得分之和是1分．两名高一年级的学生共得8分，且每名高二年级的学生都得相同分数，则有7或14 名高二年级的学生参加比赛．（结果用数值作答）考点：组合及组合数公式．专题：概率与统计．分析：设高二学生有n名．则共比赛场，每名高二年级的学生都得相同分数为k．可得．化为n2+（3﹣2k）n﹣14=0，通过对﹣14分解质因数，利用根与系数的关系即可得出．解答：解：设高二学生有n名．则共比赛场，每名高二年级的学生都得相同分数为k．∴．化为n2+（3﹣2k）n﹣14=0，∵﹣14=﹣2×7=2×（﹣7）=﹣1×14=1×（﹣14）．当2k﹣3=7﹣2时，可得k=4，此时n=7，当2k﹣3=14﹣1时，可得k=8，此时n=14．而2k﹣3=2﹣7或2k﹣3=1﹣14，k＜0，舍去．综上可得：n=7或14．故答案为：7或14．点评：本题考查了组合的计算公式、分类讨论思想方法、一元二次方程的根与系数的关系，考查了推理能力与计算能力，属于难题．二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案．考生应在答题纸的相应编号上，将代表答案的小方格涂黑，选对得5分，否则一律得零分．23．（5分）在下列幂函数中，是偶函数且在（0，+∞）上是增函数的是（）A．y=x﹣2B．C．D．考点：函数奇偶性的性质．专题：计算题；函数的性质及应用．分析：由幂函数的奇偶性和单调性，以及定义，对选项加以判断，即可得到是偶函数且在（0，+∞）上是增函数的函数．解答：解：对于A．有f（﹣x）=f（x），是偶函数，但在（0，+∞）上递减，则A不满足；对于B．定义域为[0，+∞），不关于原点对称，不具奇偶性，则B不满足；对于C．有f（﹣x）=﹣f（x），为奇函数，则C不满足；对于D．定义域R关于原点对称，f（﹣x）=f（x），则为偶函数，且在（0，+∞）上递增，则D满足．故选D．点评：本题考查幂函数的性质，考查函数的奇偶性和单调性的判断，注意运用定义和性质，属于基础题和易错题．24．（5分）已知直线l1：3x﹣（k+2）y+6=0与直线l2：kx+（2k﹣3）y+2=0，记．D=0是两条直线l1与直线l2平行的（）A．充分非必要条件B．必要非充分条件C．充要条件D．既非充分又非必要条件考点：必要条件、充分条件与充要条件的判断．专题：简易逻辑．分析：根据3（2k﹣3）+（k+2）k=0得出k=﹣9或k=1，分别判断当k=1时，直线l1：x﹣y+2=0，直线l2：x﹣y+2=0，l1l2重合，当k=9时，直线l1：3x+7y+6=0，直线l2：﹣9x﹣21y+2=0，l1∥l2，根据充分必要条件的定义判断即可．解答：解：∵直线l1：3x﹣（k+2）y+6=0与直线l2：kx+（2k﹣3）y+2=0，记．∴3（2k﹣3）+（k+2）k=0k2+8k﹣9=0，k=﹣9或k=1，当k=1时，直线l1：x﹣y+2=0，直线l2：x﹣y+2=0，∴l1l2重合，当k=9时，直线l1：3x+7y+6=0，直线l2：﹣9x﹣21y+2=0，∴l1∥l2，根据充分必要条件的定义得出：D=0是两条直线l1与直线l2平行的必要不充分条件．故选：B点评：本题考查了直线与直线平面的平行条件，充分必要条件的定义，属于中档题．25．（5分）已知i为虚数单位，图中复平面内的点A表示复数z，则表示复数的点是（）A．M B．N C．P D．Q考点：复数代数形式的乘除运算．专题：数系的扩充和复数．分析：由图可知：z=3+i．利用复数的运算法则、几何意义即可得出．解答：解：由图可知：z=3+i．∴复数====2﹣i表示的点是Q（2，﹣1）．故选：D．点评：本题考查了复数的运算法则、几何意义，属于基础题．26．（5分）到空间不共面的四点距离相等的平面的个数为（）A．1个B．4个C．7个D．8个考点：平面的基本性质及推论．专题：空间位置关系与距离．分析：对于四点不共面时，画出对应的几何体，根据几何体和在平面两侧的点的个数分两类，结合图形进行解．解答：解：当空间四点不共面时，则四点构成一个三棱锥，如图：①当平面一侧有一点，另一侧有三点时，令截面与四棱锥的四个面之一平行，第四个顶点到这个截面的距离与其相对的面到此截面的距离相等，这样的平面有四个，②当平面一侧有两点，另一侧有两点时，即构成的直线是三棱锥的相对棱，因三棱锥的相对棱有三对，则此时满足条件的平面个数是三个，所以满足条件的平面共有7个，故选：C点评：本题考查了空间四点问题，当不共面时构成三棱锥，由几何体的特征再分类讨论进行判断，考查了分类讨论思想和空间想象能力．三、解答题（本大题满分74分）本大题共有5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.27．（14分）在锐角△ABC中，a、b、c分别为内角A、B、C所对的边长，且满足．（1）求∠B的大小；（2）若b=，△ABC的面积S△ABC=，求a+c的值．考点：正弦定理；余弦定理．专题：解三角形．分析：（1）由正弦定理列出关系式，结合已知等式求出sinB的值，即可确定出B的度数；（2）由三角形面积公式列出关系式，把已知面积与sinB的值代入求出ac的值，再利用余弦定理列出关系式，即可确定出a+c的值．解答：解：（1）由正弦定理：=，得==，∴sinB=，又由B为锐角，得B=；（2）∵S△ABC=acsinB=，sinB=，∴ac=3，根据余弦定理：b2=a2+c2﹣2accosB=7+3=10，∴（a+c）2=a2+c2+2ac=16，则a+c=4．点评：此题考查了正弦、余弦定理，三角形面积公式，以及特殊角的三角函数值，熟练掌握定理是解本题的关键．28．（14分）上海出租车的价格规定：起步费14元，可行3公里，3公里以后按每公里2.4元计算，可再行7公里；超过10公里按每公里3.6元计算，假设不考虑堵车和红绿灯等所引起的费用，也不考虑实际收取费用去掉不足一元的零头等实际情况，即每一次乘车的车费由行车里程唯一确定．（1）小明乘出租车从学校到家，共8公里，请问他应付出租车费多少元？（本小题只需要回答最后结果）（2）求车费y（元）与行车里程x（公里）之间的函数关系式y=f（x）．考点：函数解析式的求解及常用方法；分段函数的应用．专题：函数的性质及应用．分析：（1）由题意可知，这8公里内的前3公里的收费是14元，超过3公里而10公里以内每公里按2.4元计价，则8﹣3=5公里的收费是5×2.4=12元，两者相加即是小明应付的车费；（2）分三种情况：前3公里、超过3公里而10公里以内、大于10公里，分别写出函数的表达式，最后用分段函数表示．解答：解：（1）由题意可知，起步（3公里以内）价是14元，则这8公里内的前3公里的收费是14元，超过3公里而10公里以内每公里按2.4元计价，则8﹣3=5公里的收费是5×2.4=12元，总共收费14+12=26（元）故他应付出出租车费26元．（2）3公里以内价是14元，即0＜x≤3时，y=14（元）；大于3公里而不超过10公里时，即3＜x≤10时，收费y=14+（x﹣3）2.4=2.4x+6.8（元）；大于10公里时，即x＞10时，收费y=14+7×2.4+（x﹣10）3.6=3.6x﹣5.2（元）．∴y=点评：本题考点是分段函数的应用，分段模型是解决实际问题的很重要的函数模型，其特点是在不同的自变量取值范围内，函数解析式不同．29．如图，正方体ABCD﹣A1B1C1D1的棱长为2，点P为面ADD1A1的对角线AD1的中点．PM⊥平面ABCD交AD与M，MN⊥BD于N．（1）求异面直线PN与A1C1所成角的大小；（结果可用反三角函数值表示）（2）求三棱锥P﹣BMN的体积．考点：棱柱、棱锥、棱台的体积；异面直线及其所成的角．专题：空间位置关系与距离；空间角．分析：（1）判断出∠PNM为异面直线PN与A1C1所成角，在△PMN中，∠PMN为直角，，求解得出异面直线PN与A1C1所成角的大小为．（2）BN=，运用，求解得出体积．解答：解：（1）∵点P为面ADD1A1的对角线AD1的中点，且PM⊥平面ABCD，∴PM为△ADD1的中位线，得PM=1，又∵MN⊥BD，∴，∵在底面ABCD中，MN⊥BD，AC⊥BD，∴MN∥AC，又∵A1C1∥AC，∠PNM为异面直线PN与A1C1所成角，在△PMN中，∠PMN为直角，，∴．即异面直线PN与A1C1所成角的大小为．（2），，点评：本题考查了空间直线的夹角问题，空间几何体的体积计算，属于中档题．30．（14分）理：如图，长方体ABCD﹣A1B1C1D1中，AB=AD=2，AA1=4，点P为面ADD1A1的对角线AD1上的动点（不包括端点）．PM⊥平面ABCD交AD于点M，MN⊥BD于点N．（1）设AP=x，将PN长表示为x的函数；（2）当PN最小时，求异面直线PN与A1C1所成角的大小．（结果用反三角函数值表示）考点：异面直线及其所成的角；函数解析式的求解及常用方法．专题：计算题；函数的性质及应用；空间角．分析：（1）求出PM，AM，运用余弦定理，求得PN；（2）求出PN的最小值，由于MN∥AC，又A1C1∥AC，∠PNM为异面直线PN与A1C1所成角的平面角，通过解直角三角形PMN，即可得到．解答：解：（1）在△APM中，，；其中；在△MND中，，在△PMN中，，；（2）当时，PN最小，此时．因为在底面ABCD中，MN⊥BD，AC⊥BD，所以MN∥AC，又A1C1∥AC，∠PNM为异面直线PN与A1C1所成角的平面角，在△PMN中，∠PMN为直角，，所以，异面直线PN与A1C1所成角的大小．点评：本题考查空间异面直线所成的角的求法，考查二次函数的性质和运用：求最值，考查运算能力，属于中档题．31．（16分）已知函数（其中a＞1）．（1）判断函数y=f（x）的奇偶性，并说明理由；（2）求函数y=f（x）的反函数y=f﹣1（x）；（3）若两个函数F（x）与G（x）在闭区间[p，q]上恒满足|F（x）﹣G（x）|＞2，则称函数F（x）与G（x）在闭区间[p，q]上是分离的．试判断函数y=f﹣1（x）与g（x）=a x在闭区间[1，2]上是否分离？若分离，求出实数a的取值范围；若不分离，请说明理由．考点：函数奇偶性的性质；反函数．专题：函数的性质及应用．分析：（1）根据函数奇偶性的定义进行判断；（2）根据反函数的定义，反解x，主要x的取值范围；（3）根据两函数在闭区间上分离的概念课求得解答：解：（1）∵，∴函数y=f（x）的定义域为R，（1分）又∵，∴函数y=f（x）是奇函数．（4分）（2）由，且当x→﹣∞时，，当x→+∞时，，得的值域为实数集．解得，x∈R．（8分）（3）在区间[1，2]上恒成立，即，即a x+a﹣x＞4在区间[1，2]上恒成立，（11分）令a x=t，∵a＞1，∴t∈[a，a2]，在t∈[a，a2]上单调递增，∴，解得，∴．（16分）点评：本题主要考查函数的奇偶性、反函数以及新概念的题目、32．（16分）在数列{a n}中，已知a2=1，前n项和为S n，且．（其中n∈N*）（1）文：求a1；理：求数列{a n}的通项公式；（2）文：求数列{a n}的通项公式；理：求；（3）设，问是否存在正整数p、q（其中1＜p＜q），使得b1，b p，b q成等比数列？若存在，求出所有满足条件的数组（p，q）；否则，说明理由．考点：数列的求和；极限及其运算．专题：等差数列与等比数列．分析：（1）利用递推关系式求数列的通项公式，对首项进行验证．（2）利用（1）的结论直接求出极限．（3）首先假设存在p和q，进一步进行关系验证求出具体的值．解答：解：文（1）因为，令n=2，得，所以a1=0，当n≥2时，，，推得，又a2=1，a3=2a2=3，所以a n+1=n当n=1，2时也成立，所以a n=n﹣1．（2）直接利用（1）的结论：解得：=（3）文理相同：假设存在正整数p、q，使得b1，b p、b q成等比数列，则lgb1，lgb p、lgb q成等差数列，故，（1）由于右边大于，则，即．考查数列的单调性，因为，所以数列为单调递减数列．当p=2时，，代入（1）式得，解得q=3；当p≥3时，（舍）．综上得：满足条件的正整数组（p，q）为（2，3）．点评：本题考查的知识要点：利用递推关系式求数列的通项公式，极限的应用，存在性问题的应用．属于中等题型．。

上海市静安区2015届高三第一学期期末教学质量检测数学（文）试卷（试卷满分150分 考试时间120分钟） 2014.12一、填空题（本大题满分56分）本大题共有14题，考生应在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分.1. 计算：22lim127n n n →∞=+ . 2. 已知集合{|2,0}M y y x x ==≥，2{|lg(2)}N x y x x ==-，则MN = .3. 已知等差数列{}n a 的首项为3，公差为4，则该数列的前n 项和n S = .4. 一个不透明袋中有10个不同颜色的同样大小的球，从中任意摸出2个，共有 种不同结果（用数值作答）.5. 不等式4021x x -<-的解集是 . 6. 设8780178(1)x a a x a x a x -=++++，则0178||||||||a a a a ++++= .7. 已知圆锥底面的半径为1，侧面展开图是一个圆心角为23π的扇形，则该圆锥的侧面积是 .8. 已知角α的顶点与直角坐标系的原点重合，始边在x 轴的正半轴上，终边在射线2y x =-（0x ≤）上，则sin 2α= .9. 已知两个向量a ，b 的夹角为30，||3a =，b 为单位向量，(1)c ta t b =+-，若0b c =，则t = .10. 已知两条直线的方程分别为1l ：10x y -+=和2l ：220x y -+=，则这两条直线的夹角大小为 （结果用反三角函数值表示）. 11. 若α，β是一二次方程2230x x ++=的两根，则11αβ+= .12. 直线l 经过点(2,1)P -且点(2,1)A --到直线l 的距离等于1，则直线l 的方程是 .13. 已知实数x 、y 满足||||1x y ≥+，则2y x-的取值范围是 . 14. 一个无穷等比数列的首项为2，公比为负数，各项和为S ，则S 的取值范围是 .二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案.考生应在答题纸的相应编号上，将代表答案的小方格涂黑，选对得5分，否则一律得零分.224685101O xyQPPAM15. 在下列幂函数中，是偶函数且在(0,)+∞上是增函数的是（ ）A. 2y x -= B. 12y x = C. 13y x = D. 23y x =16. 已知直线1l ：3(2)60x k y -++=与直线2l ：(23)20kx k y +-+=，记3(2)23k D k k -+=- .0D =是两条直线1l 与直线2l 平行的（ ） A. 充分非必要条件 B. 必要非充分条件C. 充要条件D. 既非充分又非必要条件 17. 已知i 为虚数单位，图中复平面内的点A 表示复数z ，则表示复数1zi+的点是（ ）A. MB. NC. PD. Q18. 到空间不共面的四点距离相等的平面的个数为（ ）A. 1个B. 4个C. 7个D. 8个三、解答题（本大题满分74分）本大题共有5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.19.（本题满分14分）本题共有2个小题，第1小题满分6分，第2小题满分8分.在锐角ABC 中，a 、b 、c 分别为内角A 、B 、C 所对的边长，且满足sin 32A a b=. （1）求B ∠的大小； （2）若7b =，ABC 的面积334ABCS=，求a c +的值.20.（本题满分14分）本题共有2个小题，第1小题满分4分，第2小题满分10分.B 1B C 1C DD1AA 1P M N上海出租车的价格规定：起步费14元，可行3公里，3公里以后按每公里2.4元计算，可再行7公里；超过10公里按每公里3.6元计算，假设不考虑堵车和红绿灯等所引起的费用，也不考虑实际收取费用去掉不足一元的零头等实际情况，即每一次乘车的车费由行车里程唯一确定.（1）小明乘出租车从学校到家，共8公里，请问他应付出租车费多少元？（本小题只需要回答最后结果）（2）求车费y （元）与行车里程x （公里）之间的函数关系式()y f x =.21．（本题满分14分）本题共有2个小题，第1小题满分8分，第2小题满分6分.如图，正方体1111ABCD A B C D -的棱长为2，点P 为面11ADD A 的对角线1AD 的中点.PM ⊥平面ABCD 交AD 与M ，MN BD ⊥于N .（1）求异面直线PN 与11AC 所成角的大小；（结果可用反三角函数值表示） （2）求三棱锥P BMN -的体积.22.（本题满分16分）本题共有3个小题，第1小题满分4分，第2小题满分4分，第3小题满分8分.已知函数2()log (1)a f x x x =++（其中1a >）.（1）判断函数()y f x =的奇偶性，并说明理由； （2）求函数()y f x =的反函数1()y f x -=；（3）若两个函数()F x 与()G x 在闭区间[,]p q 上恒满足|()()|2F x G x ->，则称函数()F x 与()G x 在闭区间[,]p q 上是分离的.试判断函数1()y f x -=与()x g x a =在闭区间[1,2]上是否分离？若分离，求出实数a 的取值范围；若不分离，请说明理由.23.（本题满分16分）本题共有3个小题，第1小题满分3分，第2小题满分6分，第3小题满分7分.在数列{}n a 中，已知21a =，前n 项和为n S ，且1()2n n n a a S -=.（其中*n N ∈） （1）求1a ；（2）求数列{}n a 的通项公式； （3）设1lg 3n n na b +=，问是否存在正整数p 、q （其中1p q <<），使得1b 、p b 、q b 成等比数列？若存在，求出所有满足条件的数组(,)p q ；否则，说明理由.静安区2014学年第一学期期末教学质量检测高三年级数学（文科）试卷答案（试卷满分150分 考试时间120分钟） 2014.12一、填空题（本大题满分56分）本大题共有14题，考生应在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分.1. 计算：22lim127n n n →∞=+ . 解：112. 2. 已知集合{|2,0}M y y x x ==≥，2{|lg(2)}N x y x x ==-，则M N = .解：(0,2).3. 已知等差数列{}n a 的首项为3，公差为4，则该数列的前n 项和n S = . 解：22n n +.4. 一个不透明袋中有10个不同颜色的同样大小的球，从中任意摸出2个，共有 种不同结果（用数值作答）. 解：45. 5. 不等式4021x x -<-的解集是 . 解：1,42⎛⎫⎪⎝⎭. 6. 设8780178(1)x a a x a x a x -=++++，则0178||||||||a a a a ++++= .解：256.7. 已知圆锥底面的半径为1，侧面展开图是一个圆心角为23π的扇形，则该圆锥的侧面积是 . 解：3π.8. 已知角α的顶点与直角坐标系的原点重合，始边在x 轴的正半轴上，终边在射线2y x =-（0x ≤）上，则sin 2α= . 解：45-. 9. 已知两个向量a ，b 的夹角为30，||3a =，b 为单位向量，(1)c ta t b =+-，若0b c =，则t = .解：-2.10. 已知两条直线的方程分别为1l ：10x y -+=和2l ：220x y -+=，则这两条直线的夹角224685101O xyQPPAM大小为 （结果用反三角函数值表示）. 解：1arctan3（或310arccos 10或10arcsin 10）. 11. 若α，β是一二次方程2230x x ++=的两根，则11αβ+= .解：-3.12. 直线l 经过点(2,1)P -且点(2,1)A --到直线l 的距离等于1，则直线l 的方程是 .解：31230x y -++=或31230x y --+-=. 13. 已知实数x 、y 满足||||1x y ≥+，则2y x-的取值范围是 . 解：[2,2]-.14. 一个无穷等比数列的首项为2，公比为负数，各项和为S ，则S 的取值范围是 . 解：(1,2).二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案.考生应在答题纸的相应编号上，将代表答案的小方格涂黑，选对得5分，否则一律得零分. 15. 在下列幂函数中，是偶函数且在(0,)+∞上是增函数的是（ ）A. 2y x -= B. 12y x = C. 13y x = D. 23y x = 解：D.16. 已知直线1l ：3(2)60x k y -++=与直线2l ：(23)20kx k y +-+=，记3(2)23k D k k -+=- .0D =是两条直线1l 与直线2l 平行的（ ） A. 充分非必要条件 B. 必要非充分条件C. 充要条件D. 既非充分又非必要条件 解：B.17. 已知i 为虚数单位，图中复平面内的点A 表示复数z ，则表示复数1zi+的点是（ ）A. MB. NC. PD. Q解：D.18. 到空间不共面的四点距离相等的平面的个数为（ ）A. 1个B. 4个C. 7个D. 8个B 1C 1D 1AA 1P M解：C.三、解答题（本大题满分74分）本大题共有5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.19.（本题满分14分）本题共有2个小题，第1小题满分6分，第2小题满分8分.在锐角ABC 中，a 、b 、c 分别为内角A 、B 、C 所对的边长，且满足sin 32A a b=. （1）求B ∠的大小； （2）若7b =，ABC 的面积334ABCS=，求a c +的值. 解：（1）由正弦定理：sin sin a b A B =，得sin 3sin 2A B a b b ==，∴ 3sin 2B =，（4分） 又由B 为锐角，得3B π=.（6分）（2）1sin 2ABCSac B =，又∵ 334ABCS =，∴ 3ac =，（8分） 根据余弦定理：2222cos 7310b a c ac B =+-=+=，（12分） ∴ 222()216a c a c ac +=++=，从而4a c +=.（14分）20.（本题满分14分）本题共有2个小题，第1小题满分4分，第2小题满分10分.上海出租车的价格规定：起步费14元，可行3公里，3公里以后按每公里2.4元计算，可再行7公里；超过10公里按每公里3.6元计算，假设不考虑堵车和红绿灯等所引起的费用，也不考虑实际收取费用去掉不足一元的零头等实际情况，即每一次乘车的车费由行车里程唯一确定.（1）小明乘出租车从学校到家，共8公里，请问他应付出租车费多少元？（本小题只需要回答最后结果）（2）求车费y （元）与行车里程x （公里）之间的函数关系式()y f x =. 解：（1）他应付出出租车费26元.（4分）（2）14,03() 2.4 6.8,3103.6 5.2,10x f x x x x x <≤⎧⎪=+<≤⎨⎪->⎩　. 21．（本题满分14分）本题共有2个小题，第1小题满分8分，第2小题满分6分.如图，正方体1111ABCD A B C D -的棱长为2，点P 为面11ADD A 的对角线1AD 的中点.PM ⊥平面ABCD 交AD 与M ，MN BD ⊥于N .（1）求异面直线PN 与11AC 所成角的大小；（结果可用反三角函数值表示） （2）求三棱锥P BMN -的体积.解：（1）∵ 点P 为面11ADD A 的对角线1AD 的中点，且PM ⊥平面ABCD ，∴ PM 为1ADD 的中位线，得1PM =， 又∵ MN BD ⊥，∴ 2222MN ND MD ===，（2分） ∵ 在底面ABCD 中，MN BD ⊥，AC BD ⊥，∴ //MN AC ， 又∵ 11//AC AC ，PNM ∠为异面直线PN 与11AC 所成角，（6分） 在PMN 中，PMN ∠为直角，tan 2PNM ∠=，∴ arctan 2PNM ∠=. 即异面直线PN 与11AC 所成角的大小为arctan 2.（8分） （2）2322222BN =-=，（9分） 1132P BMN V PM MN BN -=⋅⋅⋅⋅，（12分）22.（本题满分16分）本题共有3个小题，第1小题满分4分，第2小题满分4分，第3小题满分8分.已知函数2()log (1)a f x x x =++（其中1a >）.（1）判断函数()y f x =的奇偶性，并说明理由；（2）求函数()y f x =的反函数1()y f x -=；（3）若两个函数()F x 与()G x 在闭区间[,]p q 上恒满足|()()|2F x G x ->，则称函数()F x 与()G x 在闭区间[,]p q 上是分离的.试判断函数1()y fx -=与()x g x a =在闭区间[1,2]上是否分离？若分离，求出实数a 的取值范围；若不分离，请说明理由.解：（1）∵ 21||0x x x x ++>+≥，∴ 函数()y f x =的定义域为R ，（1分）又∵ 22()()log (1)log (1)0a a f x f x x x x x +-=++++-=，∴ 函数()y f x =是奇函数.（4分）（2）由210x x ++>，且当x →-∞时，210x x ++→，当x →+∞时，21x x ++→+∞，得2()log (1)a f x x x =++的值域为实数集.解2log (1)a y x x =++得11()()2xx f x a a --=-，x R ∈.（8分） （3）1()22xx x a a a --->在区间[1,2]上恒成立，即122x x a a -+>，即4xxa a-+>在区间[1,2]上恒成立，（11分）令xa t =，∵ 1a >，∴ 2[,]t a a ∈，1t t +在2[,]t a a ∈上单调递增，∴ min114t a t a ⎛⎫+=+> ⎪⎝⎭， 解得23a >+，∴ (23,)a ∈++∞.（16分）23.（本题满分16分）本题共有3个小题，第1小题满分3分，第2小题满分6分，第3小题满分7分.在数列{}n a 中，已知21a =，前n 项和为n S ，且1()2n n n a a S -=.（其中*n N ∈） （1）求1a ；（2）求数列{}n a 的通项公式； （3）设1lg 3n n na b +=，问是否存在正整数p 、q （其中1p q <<），使得1b 、p b 、q b 成等比数列？若存在，求出所有满足条件的数组(,)p q ；否则，说明理由. 解：（1）∵ 1()2n n n a a S -=，令1n =，得111()02a a a -==，∴ 10a =，（3分）或者令2n =，得21122()2a a a a -+=，∴ 10a =.（2）当2n ≥时，1111(1)()(1)22n n n n a a n a S ++++-+==，∴ 111(1)22n n n n n n a na a S S ++++=-=-，∴ 11n n a n a n +=-， 推得132n a na +=，又∵ 21a =，∴ 3223a a ==，∴ 1n a n +=， 当1,2n =时也成立，∴ 1n a n =-（*n N ∈）.（9分）（3）假设存在正整数p 、q ，使得1b 、p b 、q b 成等比数列，则1lg b 、lg p b 、lg q b 成等差数列，故21333p q p q=+（**）（11分）由于右边大于13，则2133p p >，即136p p >， 考查数列3p p ⎧⎫⎨⎬⎩⎭的单调性，∵ 111120333p p p p p p +++--=<，∴ 数列3p p ⎧⎫⎨⎬⎩⎭为单调递减数列.（14分） 当2p =时，21396p p =>，代入（**）式得139q q =，解得3q =； 当3p ≥时，139p p ≤（舍）.综上得：满足条件的正整数组(,)p q 为(2,3).（16分） （说明：从不定方程21333p q p q=+以具体值代入求解也可参照上面步骤给分）。

上海市静安区2015届高考数学一模试卷（文科）一、填空题（本大题满分56分）本大题共有14题，考生应在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分．1．计算：=__________．2．已知集合M={y|y=2x，x≥0}，N={x|y=lg（2x﹣x2）}，则M∩N=__________．3．已知等差数列{a n}的首项为3，公差为4，则该数列的前n项和S n=__________．4．一个不透明袋中有10个不同颜色的同样大小的球，从中任意摸出2个，共有__________种不同结果（用数值作答）．5．不等式的解集是__________．6．设（1﹣x）8=a0+a1x+…+a7x7+a8x8，则|a0|+|a1|+…+|a7|+|a8|=__________．7．已知圆锥底面的半径为1，侧面展开图是一个圆心角为的扇形，则该圆锥的侧面积是__________．8．已知角α的顶点与直角坐标系的原点重合，始边在x轴的正半轴上，终边在射线y=﹣2x （x≤0）上，则sin2α=__________．9．已知两个向量，的夹角为30°，，为单位向量，，若=0，则t=__________．10．已知两条直线的方程分别为l1：x﹣y+1=0和l2：2x﹣y+2=0，则这两条直线的夹角大小为__________（结果用反三角函数值表示）．11．已知tanα，tanβ是方程x2+3x+4=0的两根，α，β∈（﹣，）则α+β=__________．12．直线l经过点P（﹣2，1）且点A（﹣2，﹣1）到直线l的距离等于1，则直线l的方程是__________．13．已知实数x、y满足|x|≥|y|+1，则的取值范围是__________．14．一个无穷等比数列的首项为2，公比为负数，各项和为S，则S的取值范围是__________．二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案．考生应在答题纸的相应编号上，将代表答案的小方格涂黑，选对得5分，否则一律得零分．15．在下列幂函数中，是偶函数且在（0，+∞）上是增函数的是( )A．y=x﹣2B．C．D．16．已知直线l1：3x﹣（k+2）y+6=0与直线l2：kx+（2k﹣3）y+2=0，记．D=0是两条直线l1与直线l2平行的( )A．充分非必要条件B．必要非充分条件C．充要条件D．既非充分又非必要条件17．已知i为虚数单位，图中复平面内的点A表示复数z，则表示复数的点是( )A．M B．N C．P D．Q18．到空间不共面的四点距离相等的平面的个数为( )A．1个B．4个C．7个D．8个三、解答题（本大题满分74分）本大题共有5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.19．在锐角△ABC中，a、b、c分别为内角A、B、C所对的边长，且满足．（1）求∠B的大小；（2）若b=，△ABC的面积S△ABC=，求a+c的值．20．某地的出租车价格规定：起步费a元，可行3公里，3公里以后按每公里b元计算，可再行7公里；超过10公里按每公里c元计算（这里a、b、c规定为正的常数，且c＞b），假设不考虑堵车和红绿灯等所引起的费用，也不考虑实际收取费用去掉不足一元的零头等实际情况，即每一次乘车的车费由行车里程唯一确定．（1）若取a=14，b=2.4，c=3.6，小明乘出租车从学校到家，共8公里，请问他应付出租车费多少元？（本小题只需要回答最后结果）（2）求车费y（元）与行车里程x（公里）之间的函数关系式y=f（x）．21．如图，正方体ABCD﹣A1B1C1D1的棱长为2，点P为面ADD1A1的对角线AD1的中点．PM⊥平面ABCD交AD与M，MN⊥BD于N．（1）求异面直线PN与A1C1所成角的大小；（结果可用反三角函数值表示）（2）求三棱锥P﹣BMN的体积．22．（16分）已知函数（其中a＞1）．（1）判断函数y=f（x）的奇偶性，并说明理由；（2）求函数y=f（x）的反函数y=f﹣1（x）；（3）若两个函数F（x）与G（x）在闭区间[p，q]上恒满足|F（x）﹣G（x）|＞2，则称函数F（x）与G（x）在闭区间[p，q]上是分离的．试判断函数y=f﹣1（x）与g（x）=a x在闭区间[1，2]上是否分离？若分离，求出实数a的取值范围；若不分离，请说明理由．23．（16分）在数列{a n}中，已知a2=1，前n项和为S n，且．（其中n∈N*）（1）求a1；（2）求数列{a n}的通项公式；（3）设，问是否存在正整数p、q（其中1＜p＜q），使得b1，b p，b q成等比数列？若存在，求出所有满足条件的数组（p，q）；否则，说明理由．上海市静安区2015届高考数学一模试卷（文科）一、填空题（本大题满分56分）本大题共有14题，考生应在答题纸相应编号的空格内直接填写结果，每个空格填对得4分，否则一律得零分．1．计算：=．考点：极限及其运算．专题：导数的概念及应用．分析：利用数列极限的运算法则即可得出．解答：解：原式==．故答案为：．点评：本题考查了数列极限的运算法则，属于基础题．2．已知集合M={y|y=2x，x≥0}，N={x|y=lg（2x﹣x2）}，则M∩N=（0，2）．考点：交集及其运算．专题：集合．分析：利用交集的定义和对数函数的性质求解．解答：解：∵集合M={y|y=2x，x≥0}={y|y≥0}，N={x|y=lg（2x﹣x2）}={x|2x﹣x2＞0}={x|0＜x＜2}，∴M∩N=（0，2）．故答案为：（0，2）．点评：本题考查交集的求法，是基础题，解题时要注意对数函数的性质的合理运用．3．已知等差数列{a n}的首项为3，公差为4，则该数列的前n项和S n=2n2+n．考点：等差数列的前n项和．专题：等差数列与等比数列．分析：由题意代入等差数列的求和公式可得．解答：解：由题意可得a1=3，公差d=4，∴S n=na1+ d=3n+2n（n﹣1）=2n2+n故答案为：2n2+n．点评：本题考查等差数列的求和公式，属基础题．4．一个不透明袋中有10个不同颜色的同样大小的球，从中任意摸出2个，共有45种不同结果（用数值作答）．考点：组合及组合数公式．专题：概率与统计．分析：由题意可得共有种不同结果．解答：解：一个不透明袋中有10个不同颜色的同样大小的球，从中任意摸出2个，共有=45种不同结果．故答案为：45．点评：本题考查了组合数的计算公式，属于基础题．5．不等式的解集是（，4）．考点：其他不等式的解法．专题：计算题；不等式的解法及应用．分析：不等式即为或，分别求出它们，再求并集即可．解答：解：不等式即为或，即x∈∅或＜x＜4，则解集为（，4）．故答案为：（，4）．点评：本题考查分式不等式的解法，考查转化为一次不等式组求解，考查运算能力，属于基础题．6．设（1﹣x）8=a0+a1x+…+a7x7+a8x8，则|a0|+|a1|+…+|a7|+|a8|=256．考点：二项式系数的性质．专题：二项式定理．分析：由题意可得（1+x）8=|a0|+|a1|x+…+|a7|x7+|a8|x8，在此等式中，令x=1，可得|a0|+|a1|+…+|a7|+|a8|的值．解答：解：由题意可得（1+x）8=|a0|+|a1|x+…+|a7|x7+|a8|x8，在此等式中，令x=1，可得|a0|+|a1|+…+|a7|+|a8|=28=256，故答案为：256．点评：本题主要考查二项式定理的应用，注意根据题意，分析所给代数式的特点，通过给二项式的x赋值，求展开式的系数和，可以简便的求出答案，属于基础题．7．已知圆锥底面的半径为1，侧面展开图是一个圆心角为的扇形，则该圆锥的侧面积是3π．考点：旋转体（圆柱、圆锥、圆台）．专题：空间位置关系与距离．分析：根据已知中圆锥底面的半径为1，侧面展开图是一个圆心角为的扇形，计算出圆锥母线的长度，进而可得该圆锥的侧面积．解答：解：∵圆锥底面的半径r=1，侧面展开图是一个圆心角为的扇形，故圆锥的母线l满足：，解得：l=3，∴该圆锥的侧面积S=πrl=3π．故答案为：3π点评：本题考查的知识点是旋转体，圆锥的侧面积，其中根据，求出圆锥的母线长度，是解答的关键．8．已知角α的顶点与直角坐标系的原点重合，始边在x轴的正半轴上，终边在射线y=﹣2x （x≤0）上，则sin2α=．考点：任意角的三角函数的定义．专题：三角函数的求值．分析：由题意根据任意角的三角函数定义求出sinα与cosα的值，进而确定出sin2α的值．解答：解：根据题意得：tanα=﹣2，sinα=，cosα=﹣，∴sin2α=2sinαcosα=﹣2××=．故答案为：．点评：此题考查了两角和与差的正弦函数公式，以及任意角的三角函数定义，熟练掌握公式是解本题的关键．9．已知两个向量，的夹角为30°，，为单位向量，，若=0，则t=﹣2．考点：平面向量数量积的运算．专题：计算题；平面向量及应用．分析：运用向量的数量积的定义，求得向量a，b的数量积，再由向量的平方即为模的平方，计算即可得到．解答：解：向量，的夹角为30°，，为单位向量，则有=||•||•cos30°==，由于，若=0，则t+（1﹣t）=0，即有t+1﹣t=0，解得，t=﹣2．故答案为：﹣2．点评：本题考查平面向量的数量积的定义和性质，考查向量的平方即为模的平方，考查运算能力，属于基础题．10．已知两条直线的方程分别为l1：x﹣y+1=0和l2：2x﹣y+2=0，则这两条直线的夹角大小为arctan（结果用反三角函数值表示）．考点：两直线的夹角与到角问题．专题：直线与圆．分析：这两条直线的斜率分别为1和2，设这两条直线的夹角大小为θ，再利用两条直线的夹角公式求得这两条直线的夹角大小．解答：解：这两条直线的斜率分别为1和2，设这两条直线的夹角大小为θ，则由tanθ=||=||=，∴θ=arctan，故答案为：．点评：本题主要考查两条直线的夹角公式的应用，反正切函数，属于基础题．11．已知tanα，tanβ是方程x2+3x+4=0的两根，α，β∈（﹣，）则α+β=﹣．考点：一元二次方程的根的分布与系数的关系；两角和与差的正切函数．专题：计算题．分析：此题运用根与系数的关系求出tanα+tanβ的值和tanαtanβ的值，根据两角和与差的正切公式即可求出α+β，但一定要注意α，β的范围解答：解：tanα，tanβ是方程的两根，tanα+tanβ=﹣3，tanαtanβ=4，tan（α+β）==又∵α、β∈（﹣，），∴α+β∈（﹣π，π）．又∵tanα+tanβ=﹣3，tanα•tanβ=4，∴α、β同为负角，∴α+β=﹣．故答案为﹣点评：此题考查根与系数的关系和两角和的正切，解题时一定要注意α，β的角度范围，这是本题容易出错的地方12．直线l经过点P（﹣2，1）且点A（﹣2，﹣1）到直线l的距离等于1，则直线l的方程是或．考点：点到直线的距离公式．专题：直线与圆．分析：当直线l的斜率不存在时，直线l的方程为x=﹣2，不成立；当直线l的斜率存在时，设直线l；kx﹣y+2k+1=0，则=1，由此能求出直线l的方程．解答：解：当直线l的斜率不存在时，直线l的方程为x=﹣2，不成立；当直线l的斜率存在时，设直线l；y﹣1=k（x+2），即kx﹣y+2k+1=0，∵点A（﹣2，﹣1）到直线l的距离等于1，∴=1，解得k=，∴直线l的方程为：或．故答案为：或．点评：本题考查直线方程的求法，是基础题，解题时要认真审题，注意点到直线的距离公式的合理运用．13．已知实数x、y满足|x|≥|y|+1，则的取值范围是[﹣2，2]．考点：简单线性规划．专题：不等式的解法及应用．分析：先画出满足条件的平面区域，设z=，则y=zx+2，将问题转化为求直线的斜率的范围，通过图象求出答案．解答：解：画出满足条件|x|≥|y|+1的平面区域，如图示：，设z=，则y=zx+2，当直线过（﹣1，0）时，z最大为：2，当直线过（1，0）时，z最小为：﹣2，∴﹣2≤z≤2，故答案为：[﹣2，2]．点评：本题考查了线性规划问题，考查了数形结合思想，考查了转化思想，是一道中档题．14．一个无穷等比数列的首项为2，公比为负数，各项和为S，则S的取值范围是1＜S＜2．考点：等比数列的前n项和．专题：计算题．分析：设等比数列的公比为q，则q＜0，由题意可得S==，可得＜0，从而可求S的范围解答：解：设等比数列的公比为q，则q＜0∵各项和为S，∴﹣1＜q＜0，∴S==＞1，∴＜0∴1＜S＜2故答案为：1＜S＜2点评：本题主要考查了无穷等比数列的各项和公式的应用，属于基础试题二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案．考生应在答题纸的相应编号上，将代表答案的小方格涂黑，选对得5分，否则一律得零分．15．在下列幂函数中，是偶函数且在（0，+∞）上是增函数的是( )A．y=x﹣2B．C．D．考点：函数奇偶性的性质．专题：计算题；函数的性质及应用．分析：由幂函数的奇偶性和单调性，以及定义，对选项加以判断，即可得到是偶函数且在（0，+∞）上是增函数的函数．解答：解：对于A．有f（﹣x）=f（x），是偶函数，但在（0，+∞）上递减，则A不满足；对于B．定义域为[0，+∞），不关于原点对称，不具奇偶性，则B不满足；对于C．有f（﹣x）=﹣f（x），为奇函数，则C不满足；对于D．定义域R关于原点对称，f（﹣x）=f（x），则为偶函数，且在（0，+∞）上递增，则D满足．故选D．点评：本题考查幂函数的性质，考查函数的奇偶性和单调性的判断，注意运用定义和性质，属于基础题和易错题．16．已知直线l1：3x﹣（k+2）y+6=0与直线l2：kx+（2k﹣3）y+2=0，记．D=0是两条直线l1与直线l2平行的( )A．充分非必要条件B．必要非充分条件C．充要条件D．既非充分又非必要条件考点：必要条件、充分条件与充要条件的判断．专题：简易逻辑．分析：根据3（2k﹣3）+（k+2）k=0得出k=﹣9或k=1，分别判断当k=1时，直线l1：x﹣y+2=0，直线l2：x﹣y+2=0，l1l2重合，当k=9时，直线l1：3x+7y+6=0，直线l2：﹣9x﹣21y+2=0，l1∥l2，根据充分必要条件的定义判断即可．解答：解：∵直线l1：3x﹣（k+2）y+6=0与直线l2：kx+（2k﹣3）y+2=0，记．∴3（2k﹣3）+（k+2）k=0k2+8k﹣9=0，k=﹣9或k=1，当k=1时，直线l1：x﹣y+2=0，直线l2：x﹣y+2=0，∴l1l2重合，当k=9时，直线l1：3x+7y+6=0，直线l2：﹣9x﹣21y+2=0，∴l1∥l2，根据充分必要条件的定义得出：D=0是两条直线l1与直线l2平行的必要不充分条件．故选：B点评：本题考查了直线与直线平面的平行条件，充分必要条件的定义，属于中档题．17．已知i为虚数单位，图中复平面内的点A表示复数z，则表示复数的点是( )A．M B．N C．P D．Q考点：复数代数形式的乘除运算．专题：数系的扩充和复数．分析：由图可知：z=3+i．利用复数的运算法则、几何意义即可得出．解答：解：由图可知：z=3+i．∴复数====2﹣i表示的点是Q（2，﹣1）．故选：D．点评：本题考查了复数的运算法则、几何意义，属于基础题．18．到空间不共面的四点距离相等的平面的个数为( )A．1个B．4个C．7个D．8个考点：平面的基本性质及推论．专题：空间位置关系与距离．分析：对于四点不共面时，画出对应的几何体，根据几何体和在平面两侧的点的个数分两类，结合图形进行解．解答：解：当空间四点不共面时，则四点构成一个三棱锥，如图：①当平面一侧有一点，另一侧有三点时，令截面与四棱锥的四个面之一平行，第四个顶点到这个截面的距离与其相对的面到此截面的距离相等，这样的平面有四个，②当平面一侧有两点，另一侧有两点时，即构成的直线是三棱锥的相对棱，因三棱锥的相对棱有三对，则此时满足条件的平面个数是三个，所以满足条件的平面共有7个，故选：C点评：本题考查了空间四点问题，当不共面时构成三棱锥，由几何体的特征再分类讨论进行判断，考查了分类讨论思想和空间想象能力．三、解答题（本大题满分74分）本大题共有5题，解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.19．在锐角△ABC中，a、b、c分别为内角A、B、C所对的边长，且满足．（1）求∠B的大小；（2）若b=，△ABC的面积S△ABC=，求a+c的值．考点：正弦定理；余弦定理．专题：解三角形．分析：（1）由正弦定理列出关系式，结合已知等式求出sinB的值，即可确定出B的度数；（2）由三角形面积公式列出关系式，把已知面积与sinB的值代入求出ac的值，再利用余弦定理列出关系式，即可确定出a+c的值．解答：解：（1）由正弦定理：=，得==，∴sinB=，又由B为锐角，得B=；（2）∵S△ABC=acsinB=，sinB=，∴ac=3，根据余弦定理：b2=a2+c2﹣2accosB=7+3=10，∴（a+c）2=a2+c2+2ac=16，则a+c=4．点评：此题考查了正弦、余弦定理，三角形面积公式，以及特殊角的三角函数值，熟练掌握定理是解本题的关键．20．某地的出租车价格规定：起步费a元，可行3公里，3公里以后按每公里b元计算，可再行7公里；超过10公里按每公里c元计算（这里a、b、c规定为正的常数，且c＞b），假设不考虑堵车和红绿灯等所引起的费用，也不考虑实际收取费用去掉不足一元的零头等实际情况，即每一次乘车的车费由行车里程唯一确定．（1）若取a=14，b=2.4，c=3.6，小明乘出租车从学校到家，共8公里，请问他应付出租车费多少元？（本小题只需要回答最后结果）（2）求车费y（元）与行车里程x（公里）之间的函数关系式y=f（x）．考点：分段函数的应用；函数模型的选择与应用．专题：应用题；函数的性质及应用．分析：（1）由题意可知，这8公里内的前3公里的收费是14元，超过3公里而10公里以内每公里按2.4元计价，则8﹣3=5公里的收费是5×2.4=12元，两者相加即是小明应付的车费；（2）分三种情况：前3公里、超过3公里而10公里以内、大于10公里，分别写出函数的表达式，最后用分段函数表示．解答：解：（1）由题意可知，起步（3公里以内）价是14元，则这8公里内的前3公里的收费是14元，超过3公里而10公里以内每公里按2.4元计价，则8﹣3=5公里的收费是5×2.4=12元，总共收费14+12=26（元）故他应付出出租车费26元．（2）3公里以内价是a元，即0＜x≤3时，y=a（元）；大于3公里而不超过10公里时，即3＜x≤10时，收费y=a+（x﹣3）b=bx+a﹣3b（元）；大于10公里时，即x＞10时，收费y=a+7×b+（x﹣10）c=cx+a+7b﹣10c（元）．∴，点评：本题考点是分段函数的应用，分段模型是解决实际问题的很重要的函数模型，其特点是在不同的自变量取值范围内，函数解析式不同．21．如图，正方体ABCD﹣A1B1C1D1的棱长为2，点P为面ADD1A1的对角线AD1的中点．PM⊥平面ABCD交AD与M，MN⊥BD于N．（1）求异面直线PN与A1C1所成角的大小；（结果可用反三角函数值表示）（2）求三棱锥P﹣BMN的体积．考点：棱柱、棱锥、棱台的体积；异面直线及其所成的角．专题：空间位置关系与距离；空间角．分析：（1）判断出∠PNM为异面直线PN与A1C1所成角，在△PMN中，∠PMN为直角，，求解得出异面直线PN与A1C1所成角的大小为．（2）BN=，运用，求解得出体积．解答：解：（1）∵点P为面ADD1A1的对角线AD1的中点，且PM⊥平面ABCD，∴PM为△ADD1的中位线，得PM=1，又∵MN⊥BD，∴，∵在底面ABCD中，MN⊥BD，AC⊥BD，∴MN∥AC，又∵A1C1∥AC，∠PNM为异面直线PN与A1C1所成角，在△PMN中，∠PMN为直角，，∴．即异面直线PN与A1C1所成角的大小为．（2），，代入数据得三棱锥P﹣BMN的体积为．点评：本题考查了空间直线的夹角问题，空间几何体的体积计算，属于中档题．22．（16分）已知函数（其中a＞1）．（1）判断函数y=f（x）的奇偶性，并说明理由；（2）求函数y=f（x）的反函数y=f﹣1（x）；（3）若两个函数F（x）与G（x）在闭区间[p，q]上恒满足|F（x）﹣G（x）|＞2，则称函数F（x）与G（x）在闭区间[p，q]上是分离的．试判断函数y=f﹣1（x）与g（x）=a x在闭区间[1，2]上是否分离？若分离，求出实数a的取值范围；若不分离，请说明理由．考点：函数奇偶性的性质；反函数．专题：函数的性质及应用．分析：（1）根据函数奇偶性的定义进行判断；（2）根据反函数的定义，反解x，主要x的取值范围；（3）根据两函数在闭区间上分离的概念课求得解答：解：（1）∵，∴函数y=f（x）的定义域为R，又∵==0，∴函数y=f（x）是奇函数．（2）由，且当x→﹣∞时，，当x→+∞时，，得的值域为实数集．解得，x∈R．（3）在区间[1，2]上恒成立，即，即a x+a﹣x＞4在区间[1，2]上恒成立，令a x=t，∵a＞1，∴t∈[a，a2]，在t∈[a，a2]上单调递增，∴，解得，∴．点评：本题主要考查函数的奇偶性、反函数以及新概念的题目．23．（16分）在数列{a n}中，已知a2=1，前n项和为S n，且．（其中n∈N*）（1）求a1；（2）求数列{a n}的通项公式；（3）设，问是否存在正整数p、q（其中1＜p＜q），使得b1，b p，b q成等比数列？若存在，求出所有满足条件的数组（p，q）；否则，说明理由．考点：数列递推式；数列的求和．专题：函数的性质及应用；等差数列与等比数列．分析：（1）直接利用n=1求出数列的首项．（2）利用递推关系式和叠乘法求数列的通项公式．（3）存在性问题的判断，先假设存在，然后利用函数的单调性判断存在有序实数对．解答：解：（1）因为，令n=1，得，所以a1=0；或者令n=2，得，所以：a1=0（2）当n≥2时，，，，推得，利用叠乘法求出数列a n=n﹣1又a2=1，a3=2a2=3，所以a n+1=n，当n=1，2时也成立，所以a n=n﹣1，（n∈N*）（3）假设存在正整数p，q使得b1，b p，b q成等比数列，则：lgb1，lgb p，lgb q成等差数列．则：①由于等式右边大于，故则：下面考察数列d的单调性．因为：故数列是单调递减数列．当p=2时，代入①式得：解得：q=3当故存在（p，q）为（2，3）使得b1，b p，b q成等比数列．点评：本题考查的知识要点：利用递推关系式和叠乘法求数列的通项公式，利用函数的单调性判断存在性问题．属于中等题型．。

静安区2015-2016学年高三第一学期期末教学质量检测历史试题一、选择题（本大题共35小题，第1—30题每小题2分，第31—35题每小题3 分，共75分）1．“史前”系一历史名词，大体是指人类社会有明确的文献资料记载以前所经历的历史阶段。

既然没有明确的文献记载，那对它的研究主要依托于A．神话传说 B．出土文物C．口述史料 D．宗教典籍2．史料因标准不同而有多种分类方法，如以是否经中间人手修改或转写而分为间接史料和直接史料。

按照这一方法，下列属于直接史料的是A．《史记》 B．《荷马史诗》C．甲骨卜辞 D．《资治通鉴》3．有关《吉尔伽美什》的信息，正确的一组是4．雅典民主政治从梭伦、克里斯蒂尼到伯利克里时代不断发展。

此时的中国和古罗马大致处于A．西周时期、共和时代B．东周时期、共和时代C．秦汉时期、帝国时代D．魏晋时期、帝国时代5．王家范的《中国历史通论》说：“……西周政治里显然有深厚的贵族色彩，而‘共主’名义下的地方分权体制……”这里，谈到了西周政治的一大特点，即A．天子并无实权 B．贵族权高君主C．地方有自治权 D．中央绝对集权6．《十二铜表法》规定：“债权人可将无力偿还的债务人交付法庭判决，直到将其戴上足枷、手铐，甚至杀死或卖之为奴。

”这一规定旨在A．维护法律尊严 B．保障奴隶权益C．促进社会公平 D．保护私有财产7．百家争鸣中，各流派从不同角度思考乱世求治的方案，既有共识也有分歧。

在古今厚薄问题上观点尖锐对立的学派是A．儒家与法家 B．道家与法家C．法家与墨家 D．道家与儒家8．《资治通鉴•唐纪》载：“凡三年，运粮七百万石”。

实现这规模巨大运输的主要通道是A．弛道 B．海路C．长江 D．运河9．西方文学作品中常把“卡诺莎觐见（1077年）”作为忍气吞声、屈膝投降的代名词。

在这一故事中，那位“忍气吞声”者希望“觐见”的是A．贵族 B．国王C．皇帝 D．教皇10．国王路易十四（1643—1715年）就曾声称“朕即国家”，自视为神的化身。

静安区2015学年第一学期高三年级教学质量检测英语试卷2015. 1（120分钟完成; 总分：150分）第I卷（共103 分）(第I卷试题的答案请做在答题卡上)I. Listening ComprehensionSection ADirections: 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 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. At the man’s office. B. At the woman’s office.C. In a cinema.D. Outside their dormitory.2. A. She likes fruit salad. B. She eats whatever she likes.C. She prefers to be on a diet.D. She is afraid of gaining weight.3. A. 7:30. B. 7:40. C. 7:50. D.8:00.4. A. Tim’s excellent performance. B. Tim’s assignment.C. Tim’s graduation day.D. Tim’s study habit s.5. A. Husband and wife. B. Manager and customer.C. Hostess and guest.D. Teacher and student.6. A. He has no interest in wild life protection.B. He ca n’t join the group.C. He is sorry to fail in the examination.D. He’s already busy with the Student Union issue.7. A. Price of petrol. B. Bus fare.C. Traffic condition.D. Petrol shortage.8. A. They’ll have to get some more paint.B. They should get someone to help them.C. They shouldn’t delay any longer.D. They don’t have to paint the room again.9. A. Summer vacation. B. Language learning.C. Pleasure of traveling.D. Studying abroad .10. A. The woman wants to go to Toronto. B. The man wants to go to V ancouver.C. There are no flights to Toronto.D. There are two direct flights to Toronto.Section BDirections: 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 aquestion, 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 passage.11. A. She explained the functions of the BCD International.B. She described some popular singers.C. She played a new record.D. She introduced the radio program to listeners.12. A. About the Big Hits. B. The History of Pop.C. The Road to Music.D. Pop Words.13. A. To introduce new singers and songwriters.B. To provide the background with music.C. To help to understand the words to the big music hits.D. To hear from listeners’ opinions on music.Questions 14 through 16 are based on the following passage.14. A. To achieve high marks in study.B. To develop their own interests.C. To be responsible for their parents.D. To discover subjects outside class.15. A. Because there are so few rules.B. Because there are too many rules.C. Because they hate to take part in activities.D. Because they are afraid to make mistakes.16. A. Teachers show little interest in open education.B. Most traditional teachers support open education.C. Many teachers quite enjoy open education.D. Some traditional teachers do not like open education.Section CDirections: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 hear. Write your answers on your answer sheet.Blanks 17 through 20 are based on the following conversation.Complete the form. Write ONE WORD for each answer.Blanks 21 through 24 are based on the following conversation.Complete the form. Write NO MORE THAN THREE WORDS for each answer.II. Grammar and VocabularySection ADirections: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)There are 101 excuses for not writing or calling the media when you see unfair, biased or inaccurate news coverage: ―I don’t know enough‖; ―I’m too busy‖; ―My computer crashed.‖（25）_______(communicate) with journalists makes a difference. It does not have to be perfect; not all letters to journalists need to be for publication. Even（26）_______ one-sentence, handwritten note to areporter（27）_______ be helpful. If you take the time to type a substantive letter, send copies of it to two or three places within the media outlet —perhaps to the reporter, his or her editor, as well as to the letters-to-the-editor department.If media outlets get letters from a dozen people（28）_______ (raise) the same issue, they will most likely publish one or two of them. So even if your letter（29）_______ ( not get) into print, it may help another one with a similar point of view get published. Surveys of newspaper readers show that the letters page is among the most closely read parts of the paper. It’s also the page policy-makers look to as a barometer of public opinion.（30）_______ you write to journalists, be factual, not rhetorical (带修辞色彩的). Do not personallyattack them; that’s more likely to convince them that they’re in the right. Address them in the language that most journalists（31）_______ (train) to understand. Call on them to be responsible, professional, balanced and inclusive of diverse sources and viewpoints.Letters（32）_______ are intended for publication should usually be drafted more carefully.(B)Westminster Abbey, the gothic church, stands in the heart of modern London overlooking the RiverThames and Houses of Parliament. It started as a small monastery(修道院), （33）_______ (found) in theyear 960 by King Edgar, but soon became one of the most important churches in the kingdom.King Edgar was the first monarch（34）_______ (bury) there in 1065. In the mid 13th Century, KingHenry III decided to rebuild it as a great gothic cathedral to rival（与. . . . . .相匹敌）（35）_______ in France.All monarchs have been crowned there（36）_______ William the Conqueror in 1066, and many monarchs have married in the Abbey, （37）_______(recently) Prince William and Catherine Middleton.But Westminster Abbey isn’t just about royalty. Many of the greatest people in British history are buried or commemorated there—artists, scientists, thinkers—there isn’t even a ―poet’s corner‖ built up（38）_______ the grave of 14th-century poet Geoffrey Chaucer.Westminster Abbey tells the story of ordinary British people too. Parts of the Abbey were destroyed inbooming raids（空袭）during World War II（39）_______ services went on throughout the war. On May 8,1945, the V-E(Victory in Europe)Day, a thanksgiving service was held there. Westminster Abbey stood for courage and British spirit.（40）_______ _______ you are not a Christian, it is impossible not to feel a sense of somethingotherworldly(超脱尘俗地)when you enter Westminster Abbey—and that goes for tourists, ordinaryLondoners, or students getting ready for another Friday at school.Section BDirections: 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 long red bridge stretches out across water. It runs across the Golden Gate. This is not the __41__ to some sacred land, but it is just as __42__. The Golden Gate is where San Francisco Bay __43__ the Pacific Ocean, and at night the scene of the bridge __44__ up over the water takes your breath away.Welcome to San Francisco, a place famous for its beautiful parks, hilly streets and lovely beaches. But the bridge is undoubtedly the most well-known symbol of the city. Before its completion in 1937, the bridge was considered impossible to build because of the foggy weather, powerful winds, and __45__ ocean currents in the city. However, despite the difficult conditions, the bridge was built in no more than four years. Its total length is nearly 2 kilometers.San Francisco __46__ first on Lonely Planet’s list of the best cities to visit in 2013. According to the world’s largest travel publisher, it came top as a result of its __47__ mix.According to the US 2010 census(人口普查), 21 percent of the city’s population was made up ofChinese people. San Francisco’s Chinatown is the largest outside of Asia and the oldest in North America. Two traditional festivals, the Spring Festival and Mid-Autumn Festival, are the biggest events of the year on the city’s __48__.If yellow cabs are a key part of New York city life, then the cable car is San Francisco’s equivalent. The first cable car came into public service in 1873, and the slow and noisy vehicle has been a symbol of the city ever since. The cable car network was once __49__ by a serious earthquake but, luckily, it has now recovered and provides better __50__ than the subway.III. Reading ComprehensionSection ADirections: For each blank in the following passage 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.It is one of the most terrifying moments for any urban cyclists: the first time a huge, high-sided construction truck lumbers alongside, the driver__51__ within their high cab（驾驶室）. Now a leading cycling group hopes it has __52__with a solution — the cyclist-friendly lorry.The draft design, to be unveiled（揭幕）on Wednesday by the London Cycling Campaign, reduces theoverall height of the lorry, __53__ the driving position, and greatly __54__ the side windows of the cab, stretching them as close to road level as possible. __55__ drivers of the traditional lorry have to rely on __56__ and sensors to spot cyclists or pedestrians close to the front offside of the vehicle, if they can detect them at all, the new design all but __57__ this blind spot.It is undoubtedly a big __58__, especially in London, where lorries form about 5% of vehicle traffic __59__ are responsible for about half of all cyclist deaths, with a large __60__ of these involving construction lorries, often turning left into a cyclist. In 2011, of the 16 cyclist deaths in London, nine involved lorries, of which seven were construction vehicles.If elements of the London Cycling Campaign’s design look familiar that is __61__ they are already inuse — many __62__ rubbish lorries already feature low-silled glass doors, allowing the drivers to look out for both staff __63__ bins and other pedestrians. This demonstrated how construction companies could change if they wanted to.A study __64__ last month by Transport for London said construction trucks were disproportionately （不成比率地）involved in cyclist accidents and recommended __65__ such as giving drivers delivering goods to building sites more realistic time slots to avoid them being tempted into recklessness.51. A. inaccessible B. inconvenient C. invisible D. inexact52. A. break away B. put down C. come up D. get along53. A. totally B. especially C. generally D. probably54. A. strengthens B. extends C. increases D. improves55. A. While B. Since C. However D. Before56. A. windows B. drawers C. carriages D. mirrors57. A. calculates B. disapproves C. implements D. eliminates58. A. solution B. method C. issue D. highlight59. A. so B. or C. but D. and60. A. deal B. number C. amount D. burden61. A. because B. until C. unless D. whether62. A. realistic B. domestic C. academic D. traffic63. A. participating B. associating C. assembling D. collecting64. A. released B. reflected C. motivated D. hunted65. A. differences B. problems C. factors D. measuresSection BDirections: Read the following three 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)On October 24,1929 —―Black Thursday‖—a wave of panic selling of stocks swept the New York Stock Exchange. The Great Depression began. By 1932, thousands of banks and businesses had failed. Industrial production was cut in half, farm income had fallen by more than half, wages had decreased 60 percent, new investment was down 90 percent and one out of every four workers was unemployed.The Republican president, Herbert Hoover was unable to take measures to deal with the economic collapse. So in the 1932 election, he was defeated by Democrat Franklin D. Roosevelt, who promised ―a New Deal for the American people‖.Within the ―Hundred Days‖, Roosevelt rushed through Congress a number of laws to aid the recovery of the economy. The Civilian Conservation Corps put young men to work in reforestation and flood.The Federal Emergency Relief Administration aided state and local relief funds. The Agricultural Adjustment Administration paid farmers to reduce production, thus raising crop prices. The TennesseeValley Authority built a network of dams in the Tennessee River area to generate electricity, control floods and manufacture fertilizer. The National Recovery Administration regulated fair competition among businesses and ensured bargaining rights and minimum wages for workers.The Social Security Act of 1935 established contributory old age and survivors’ pensions, as well as a joint federal state program of unemployment insurance.The Work Progress Administration was one of the most effective of the New Deal measures. Financed by taxes collected by the federal government, the WPA created millions of jobs by undertaking the construction of roads, bridges, airports and other public buildings. It kept workers in the job, thus preserving their skills and their self-respect.The New Deal programs did not end the Depression. But the economy improved as a result of this program of government intervention.66. According to the passage, ―Black Thursday‖ is the day ________.A. of selling stocksB. of reducing industrial productionC. the Great Depression beganD. the New Deal was implemented67. The New Deal is a number of laws ________.A. to make young people plant trees and build damsB. to aid state and local relief fundsC. to deal with workersD. to deal with economic problems68. The WPA was an effective measure because ________.A. it provided workers jobs of building roads and airportsB. it preserved workers’ skill and self-respectC. it provided financial aids to workersD. it ensured workers’ minimum wages69. Roosevelt made his New Deal programs effective through ________.A. his presidential powerB. government taxationC. congress reputationD. government intervention(B)70. If a student wants to know what the homework assignments are, __________.A. Prof. Klammer announces them in classB. the student reads the list on the next pageC. Prof. Klammer gives a list every weekD. the student goes to the professor’s office71. A student who would like to attend the course by Prof. Klammer has to stay in 363 Marshall Hall______.A. from 11:15 to 12:30 on Monday, Wednesday and FridayB. from 10:10 to 11:00 on Tuesday and ThursdayC. from 3:35 to 5:00 on Monday, Wednesday and FridayD. from 3:35 to 5:00 on Tuesday and Thursday72. According to the passage, which of the following is TRUE?A. The textbook is written by Dr. Jane Klammer.B. If you have to miss a class, be sure to say sorry to Prof. Klammer.C. The students can buy ―Introduction to American History‖ at the College Bookstore.D. Prof. Klammer advises her students to take notes in her class.73. If a freshman thinks that he might major in history, what is the maximum length of his paper can be?A. Fifteen pages.B. Twenty-five pages.C. Ten pages.D. No maximum.(C)On December 14, NASA (National Aeronautics and Space) blasted a small but mighty telescope into space. The telescope is called WISE and is about as wide around as a trashcan. Don't let its small size fool you: WISE has a powerful digital camera, and it will be taking pictures of some the wildest objects in the known universe, including asteroids, faint stars, blazing galaxies and giant clouds of dust where planets and stars are born."I'm very excited because we're going to be seeing parts of the universe that we haven't seen before," said Ned Wright, a scientist who directs the WISE project.Since arriving in space, the WISE telescope has been circling the Earth, held by gravity in a polarorbit(this means it crosses close to the north and south poles with each lap (一圈).Its camera is pointedoutward, away from the Earth, and WISE will snap a picture of a different part of the sky every 11 minutes. After six months it will have taken pictures across the entire sky.The pictures taken by WISE won't be like everyday digital photographs, however. WISE stands for "Wide-field Infrared Survey Explorer." As its name suggests, the WISE camera takes pictures of featuresthat give off infrared radiation (红外线辐射).Radiation is energy that travels as a wave. Visible light, including the familiar spectrum of Light(光谱) that becomes visible in a rainbow, is an example of radiation. When an ordinary digital camera takes a picture of a tree, for example, it receives the waves of visible light that are reflected off the tree. When these waves enter the camera through the lens, they're processed by the camera, which then puts the image together.Waves of infrared radiation are longer than waves of visible light, so ordinary digital cameras don't see them, and neither do the eyes of human beings. Although invisible to the eye, longer infrared radiation can be detected as warmth by the skin.That's a key idea to why WISE will be able to see things other telescopes can't. Not everything in the universe shows up in visible light. Asteroids, for example, are giant rocks that float through space—but they absorb most of the light that reaches them. They don't reflect light, so they are difficult to see. But they do give off infrared radiation, so an infrared telescope like WISE will be able to produce images of them. During its mission WISE will take pictures of hundreds of thousands of asteroids.Brown dwarfs(褐矮星)are another kind of deep-space object that will show up in WISE's pictures.These objects are "failed" stars—which means they are not massive enough to jump start the same kind of reactions that power stars such as the sun. Instead, brown dwarfs simply shrink and cool down. They're so dim that they're almost impossible to see with visible light, but in the infrared spectrum they glow.74. What is so special about WISE?A. Its digital camera can help astronomers to see the unknown space.B. It is as small as a trashcan.C. It is small in size but carries a large camera.D. Never before has a telescope carried a digital camera in space.75. The camera on WISE ________.A. is not different from an ordinary cameraB. does not see infrared radiation while the ordinary camera doesC. reflects light that human eyes can seeD. catches the infrared radiation while the ordinary camera does not76. Which of the following is NOT correct about "asteroids" according to paragraph 7?A. Asteroids do not reflect light that reaches them.B. Asteroids float through space giving off visible light.C. It is difficult to take asteroids' pictures by ordinary cameras.D. The WISE telescope can take pictures of asteroids.77. What is implied in the last paragraph?A. Brown dwarfs give off visible light.B. Brown dwarfs are power stars like the sun.C. Brown dwarfs give off infrared radiation.D. Brown dwarfs are impossible to see with the WISE telescope.Section CDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.From boy to manGrowing up on-screen for a decade as Harry Potter, 22-year-old Daniel Radellif has had to deal withtypecasting(角色定位)his whole career. However, in a new release called The woman in Black, thesuccessful child actor finally escapes J.K.Rowling’s hero by taking on the lead role in a classic ghost story.The movie, which hit Chinese cinemas on Sept. 20, tells the tale of a widowed lawyer named Arthur Kipps (Radcliffe) who is sent to a remote village in the north of England for a late client’s affairs. There, he discovers the town’s tragic past—children die after they see a mysterious woman dressed in black. To clear things up, he decides to stay alone in an old house, which is completely cut off from the mainland at high tide.His fears grow when he sees a woman in black looking at him from the window and hears the sound of a pony and trap in difficulty, followed by the screams of a young child. Kipps decides he must find a way to break the cycle of horror after his son is threatened by the mysterious woman.The story pulls out every old, dark house cliché(老套路) going: demonic(恶魔的) dolls, rocking chairs,and the ghostly black-cloaked woman herself. However, it has become one of this year’s biggest box office winners in the UK when it was released there in February.British movie critic Jamie Russell thinks what makes it so different, is how character-driven it is and how Radcliffe makes it count.“The woman in Black works because of Radcliffe,not in spite of him,‖he said. ―Radcliffe’s face convinces you that Kipps knows what it is to have loved and lost forever.‖There is not much conversation. Director James Watkins’s gambled on Radcliffe’s acting. He was not disappointed. ―It’s an absolute joy doing the slow push in on Dan, reading his thoughts and letting the camera drift closer and closer into his eyes.‖ He told British magazine Total Film.For the former Potter star who has longed for a career away from Hogwarts, this ghost movie is a step in the right direction.―It’s mainly about working hard and proving to people you’re serious about it, and stretching (倾注全力) yourself and learning.‖ Radcliffe told British online newspaper The Huffington Post.And he understands fame is fleeting. ―The line that has made the most lasting impression on me was by[US writer] William Goldman. He said something like, ’Stars come and go, only actors last’.‖ he told the news website.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)78. The movie The woman in Black is about ___________________________.79. Why does Kipps have to find a way to break the cycle of horror?80. How The woman in Black is successful is that it has been ___________________________.81. What does The woman in Blackmean mean for Radclliffe, the former Harry Potter star?第II卷（共47分）I. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.1. 你今晚能来参加我的生日聚会吗? (possible)2. 桌上有本最新版的英语字典。

上海市静安区2015届高三第一学期期末教学质量检测试题随着2015届高三学期的结束，上海市静安区教育系统对高三学生的教学质量进行了全面的检测。

这次的期末教学质量检测不仅对学生们的学习成绩起到了重要的评估作用，也为教育部门提供了反思和改进教育教学的机会。

首先，这次的教学质量检测采用了多种形式的考试。

除了传统的笔试以外，还包括口语测试和实践操作等方式，全方位地评估了学生的综合能力。

这种方式的应用，既可以考察学生的理论知识掌握情况，也能够看到学生在实践中的应用能力。

这对于培养学生的实践动手能力以及对知识的灵活运用能力都非常有益。

其次，教学质量检测内容紧密结合教学大纲和教学目标。

检测的内容覆盖了学生所学科目的各个方面，从基础知识到高级应用能力都得到了充分的考察。

这种内容的设计不仅符合教学大纲的要求，也能够帮助学生建立全面的学科知识体系。

在教学质量检测的过程中，还注重了评价标准的科学性和公正性。

为了保证评分的公正性，采取了多名教师对同一学生的作答进行独立评分的方式。

这种评分方式可以最大程度地减少主观因素对学生成绩的影响，保证了评价的客观性。

此外，教学质量检测还充分利用了现代化的技术手段。

在答题过程中，学生使用了电子设备进行作答，大大提高了答题效率和准确性。

同时，学生的作答结果也能够通过电子化处理快速得到统计和分析，为教师和教育部门提供了及时有效的数据支持。

最后，在教学质量检测之后，还进行了全面的数据分析和评估工作。

通过对学生的答题结果进行统计和分析，得出了学生整体的水平和优势学科等信息。

这些数据和评估结果不仅可以为学校制定教学改进措施提供参考，也可以为学生的个性化学习提供指导。

通过这次教学质量检测，上海市静安区教育系统对学生学习情况进行了全面了解。

教育部门将根据检测结果，对教学内容和教学方法进行进一步的调整和优化，以提高学生的学习效果和能力。

同时，学生们也可以通过检测结果了解自己的学科竞争力和不足之处，为今后的学习做出相应的改进。

静安区2015学年第一学期高三年级教学质量检测英语试卷2016. 1考生注意：1. 考试时间120分钟，试卷满分150分。

2. 本考试设试卷和答题纸两部分。

试卷分为第I卷（第1-13页）和第II卷（第13-14页），全卷共14页。

所有答题必须涂（选择题）或写（非选择题）在答题纸上，做在试卷上一律不得分。

3. 答题前，务必在答题纸上填写准考证号和姓名。

第I卷（共103分）I.Listening ComprehensionSection ADirections: 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 thequestionswillbespokenonlyonce.Afteryouhearaconversationandthequestionaboutit, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A. Teacher. B. Repairman. C. Shop assistant. D. Doctor.2. A. At home. B. At school. C. In the hospital. D. On the street.3. A. His new job is too difficult for him.B. He is used to his new job.C. He is still trying to get used to his new job.D. He doesn’t like his new job.4. A. 15 dollars. B. 14 dollars. C. 10 dollars. D. 12 dollars.5. A. She is surprised at her mum’s coming back so soon.B. She thinks that she is too slow.C. She wants the man to be quick.D. She will go out herself.6. A. She used to be in poor health. B. She was popular among boys.C. She was somewhat overweight.D. She didn’t do well at high school.7. A. At the airport. B. In a restaurant.C. In a booking office.D. At the hotel reception.8. A. Teaching her son by herself.B. Having confidence in her son.C. Asking the teacher for extra help.D. Telling her son not to worry.9. A. Have a short break. B. Take two weeks off.C. Continue her work outdoors.D. Go on vacation with the man.10. A. He is taking care of his twin brother.B. He has been feeling ill all week.C. He is worried about Rod.D. He has been in perfect condition.Section BDirections: 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 passage.11. A. Lawyer. B. Computer programmer.C. Blogger.D. Firefighter.12. A. 21% of all the employers. B. 1% of American teenagers.C. 79% of all the employers.D. 1% of American adults.13. A. With many bloggers, America is sure to win her reputation in the world.B. Washington is the city which has most bloggers in America.C. There are fewer employees of newspapers than a few years ago.D. The topics of blogging cover almost every area of people’s daily life.Questions 14 through 16 are based on the following news.14. A. In the Town Hall. B. In a community.C. In somebody’s house.D. In a stadium.15. A. The equal job, the equal pay.B. The best way of cooking and cleaning.C. The women’s liberation movement.D. Women’s ability to be good leaders.16. A. Women’s responsibility of child raising.B. Women’s ability to do anything im portant.C. Not only concrete issues but also attitude and beliefs.D. How to take jobs and help others.Section CDirections: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.Blanks 17 through 20 are based on the following conversation.Complete the form. Write ONE WORD for each answer.SHOWPlace for next show: In New York.Time for next show: This __17__.Place for the woman’s work:At the __18__.The woman’s purpose to SanOn __19__.Francisco:Transportation: Driving in a big __20__.Blanks 21 through 24 are based on the following conversation.Complete the form. Write NO MORE THAN THREE WORDS for each answer.Coastal Redwood TreesCharacteristics: a.__21__bark against fires.b. a liking for a __22__ climate.Location of the tallest trees: Along the __23__California coast.Height of the tallest trees: More than 350 feet.Age of the oldest recorded tree: __24__.II.Grammar and vocabularySection ADirections: 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 )Exploration of the PolesThe North Pole and South Pole are at the top and bottom of the Earth, (25)_______________you won’t find an actual pole to mark the place. The poles are the northernmost and southernmost points on the planet. The poles are the most unfriendly environments on Earth.In the early 1900s, explorers competed to become the first (26)_______________ ( reach ) the South Pole. From 1901 to 1904, British naval officer Robert Scott made the first attempt. Scott got (27)_______________ ( far ) south than anyone had been before, but he failed to reach the pole.In 1909, Ernest Shackleton of Britain led an expedition across Antarctica on sleds pulled by dogs. They were only about 100 miles (about 160 kilometers) from the South Pole (28)_______________ a shortage of food forced them to turn back.Scott finally reached the South Pole in January 1912. But (29)_______________ ( disappoint ) Scott found that Roald Amundsen had beaten him by one month. Amundsen’s expedition arrived at the pole in December 1911. Amundsen was (30)_______________ experienced Arctic explorer, and he had made careful preparations. Scott and his companions died of injury, cold, and hunger on their return from the pole.In 1914, Shackleton (31)_______________ ( plan ) another expedition to the South Pole. But his ship was crushed by ice, and he had to cross 800 miles (1,300 kilometers) of freezing sea in a tiny boat to survive. Shackleton then returned to save his strandedmen. It was one of the greatest rescue feats in history.In 1929, Arctic explorer Richard Byrd became the first person who flew over the South Pole. Byrd later pioneered the idea of(32)_______________ ( set )up permanent stations for scientific research in Antarctica. A station called the Amundsen-Scott Base has stood at the South Pole since 1977.( B )Teaching in front of a cameraWageningen University is keen on developing forms of education that reach people all over the world. The basics of the course topics are covered in short films and three-minute to seven-minute presentations (33)_______________ ( use ) techniques such as animationand voiceover ( 画外音).T he online Master’s programmes are quite different from the large-scale MOOCs (在线课程), explains Busstra. In the Master’s courses, the short “knowledge clips” ( 短片) dealing with the essential topics(34)_______________ ( link ) to an assignment directly to help the students actively absorbthe knowledge themselves. Teachers can also use them to test (35)_______________ the material has come across well. Busstra says: “ The teacher has to think up new ways of working---getting students to make a film clip, for instance,(36)_______________ _______________ they present a research setup they have thought up themselves, or to respond to someone else’s idea, or to work on a document in groups.” The students also get the chance to post a question while they are watch ing an online film---equivalent of putting your hand up during a lecture. Fellow students and teachers can then answer the question online. “ There are a lot of misunderstandings about online education, ” says Busstra, “ one of them being (37)_______________ there is only one way communication. (38)_______________people are gradually gaining confidence in it. It will stay typically Wageningen: small-scale and based on interaction and group work.”The investment (39)_______________ online learning is paying off in the regular education programme too, according to Busstra. Students in Wageningen can pick up the basics at home through the knowledge clips. During lectures, teachers(40)_______________ then provide more in-depth analysis, talk about their own work and supervise students more personally. “Increasingly, on-campus and online education will no longer be two separate worlds,” expects Busstra.Section BDirections: 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.Weare familiar with pop culture, but what is peep culture? In pop culture, we turn on the TV and watch our favouritecelebrities __41__ us with their performances. In peep culture, we turn on the computer, we move through people’s lives on reality TV, blogs, Face book and You Tube. Instead of getting our entertainment from scripted performances, we get our entertainment from peeping into other people’s lives. It can be friends and family. But it’s just likely to be people we have never met from around the world.Suddenly, we spend all of our time __42__ other people. And we also invite them to watch us! People __43__ themselves to get attention and to feel like they are part of a community. In peep culture, ordinary people are turned into celebrities.This has never happened before, turning the spotlight on __44__regular people. There aren’t secrets anymore. The notion of private life has changed.As society has become __45__ fast-paced, most of us are really unaware of these changes in our lives. We are moving into a time when our __46__ personality is going to be more important than our actual physical __47__. What we have online is going to be more important than what we do offline. We are now socially judged by our virtual profiles.In the age of “ peep culture, ” a tell-all, show-all, know-all digital phenomenon is __48__ changing notions of privacy, individuality, security, and even humanity. Susan Boyle became a(n) __49__ celebrity because of peep culture. The entire world was staring at her after her __50__ from a resident of a small Scottish town to a global celebrity. We like the story because she’s like a movie,but she’s real.III.Reading ComprehensionSection ADirections: For each blank in the following passage 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.New research offers fresh insight on when to launch a product or service, and shows that being first to market isn’t always a competitive advantage.In 2004, David Cohen had an idea for a social network for mobile phones that would connect users in the real world. His company, called iContact, launched a beta version ( 测试版 ), and seemed ready to tap the muchpublicized mobile software market. Cohen, then 36, had already founded a successful software company. __51__, after 18 months, he was unable to get phone carriersto distribute his software, and he closed the company.Bets on mobile applications didn’t begin to __52__ until Apple’s iPhone app storeopenedthe market in 2008.Conventional __53__ says being first to market creates a competitive advantage. Reality is more complicated. Market opportunities are __54__ opening and closing, and a hit idea at one p oint could be a failure a year earlier or a yawning “ me too ” business a year later. It’s tough---likely __55__ ---to identify the best moment to enter a market, but common sense dictates new entrepreneurs ( 创业人) can improve their odds ( 机会) if they __56__ how much they bearto gain or lose by waiting.New academic research suggests one way entrepreneurs can __57__whether they should enter a market first or wait on the sidelines. The decision depends on how hostile ( 不利的) the learning environment is; __58__, how much entrepreneurs can learn by observing other players before they __59__, compared to what they learn from participating after they enter, according to Moren Levesque, an entrepreneurship researcher at the University of Waterloo. Levesque, along with professors Maria Minniti of Southern Methodist University and Dean Shepherd of Indiana University, used a mathematical __60__ to weigh the risks and benefits of entering the market early. Their research is among the first to explore “ how different learning environments may influence the entry behavior of entrepreneurs.”The key tothe academics’ findings on timing is this: In a hostile learning environment, entrepreneurs gain relatively __61__ benefit by watching others. For example, if the relevant knowledge is __62__intellectual property, studying the market before entering wouldn’t yield much advantage. In these situations, the trade-off ( 权衡利弊) __63__ entering early. But in less hostile learning environments, where entrepreneurs gain valuable information __64__to increase their success just by watching other companies, companies benefit from waiting and learning lessons from earlier player s. IContact’s successors, for example, may have learned from watching the company’s trouble in getting mobile networks to distribute their software, a barrier that was __65__ by the iPhone’s app store.51. A. Otherwise B. Moreover C.However D. Therefore52. A. pay in B. pay back C. pay for D. pay off53. A. custom B. wisdom C. habit D. experience54. A. completely B. confusingly C. constantly D. increasingly55. A. impossible B. possible C. potential D. manageable56. A. imagine B. interpret C. weigh D. measure57. A. value B. evaluate C. ensure D. convince58. A. after all B. as a result C.in other words D.in addition59. A. launch B. campaign C. strike D. function60. A. version B. pattern C. example D. model61. A. few B. many C. little D. much62. A. provided B. protected C. shared D. improved63. A. favors B. dislikes C. opposes D. concerns64. A. unlikely B. likely C. unbelievable D. questionable65. A. lowered B. created C. resolved D. removedSection BDirections:Read the following three 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 )Some plants get so hungry that they eat flies, spiders, and even small frogs. What’s more amazing is that these plants occur naturally (in special environments) in every state. In fact, they’re found on e very continent except Antarctica.You’ve probably seen a Venus’ flytrap. It’s often sold in museum gift stores, department stores, and even supermarkets. A small plant, it grows 6 to 8 inches tall in a container. At the end of its stalks (茎) are specially modified leaves that act like traps. Inside each trap is a lining of tiny trigger (触发) hairs. When an insect lands on them, the trap suddenly shuts. Over the course of a week or so, the plant feeds on its catch.The Venus’ flytrap is just one of more than 500 species of meat-eating plants, says Barry Meyers-Rice, the editor of the International Carnivorous ( 食肉的) Plant Society’s Newsletter. Note: Despite any science-fiction stories you might have read, no meat-eating plant does any danger to humans.Dr. Meyers-Rice says a plant is meat-eating, only if it does all four of the following: “attract, kill, digest, and absorb”some form of insects, including flies, butterflies, and moths. Meat-eating plants look and act like other green plants---well, most of the time.All green plants make sugar through a process called photosynthesis (光合作用). Plants use the sugar to make food. What makes “meat-eating” plants different is their bug-catching leaves. They need insects for one reason: nitrogen (氮). Nitrogen is a nutrient that they can’t obtain any other way. While almost all green plants on our planet get nitrogen from the soil,“ meat-eating” plants can’t. They live in places where nutrients are hard or almost impossible to get from the soil because of its acidity. So they’ve come to rely on getting nitrogen from insects and small animals. In fact, nutrient-rich soil is poisonous to “meat-eating” plants. Never fertilize them! But don’t worry, either, if they never seem to catch any insects. They can survive, but they’ll grow very slowly.66. According to the passage, carnivorous plants ___________.A. only grow in wild fieldB. are rare to seeC. are as common as fliesD. cannot grow on Antarctica67. Venus’ flytrap preys on insects by ___________.A. its numerous long and thin stalksB. a container where it growsC. its insect-catching leavesD. the lining of tiny trigger hairs68. We can conclude from the third paragraph that ___________.A. carnivorous plants are dangerousB. carnivorous plants are fictionalC. carnivorous plants occasionally eat booksD. carnivorous plants are harmless to humans69. In the eyes of the author, which of the following statements is TRUE?A. Carnivorous plants cannot grow in acid soil.B. Carnivorous plants can grow in nutrient-poor soil.C. Carnivorous plants will die if they cannot catch any insects.D. Carnivorous plants can get nitrogen from nutrient-rich soil( B )“ Asia’s Challenge 2020 ” Essay PrizeDESCRIPTIONWhat is the most important challenge facing Asia over the next decade? Why? What should be done about it?The best answer in 3,000 words or less will win a prize of $2,500. Two runners-up will be awarded prizes of $1,000 each. These three prize winners will be invited to Singapore for an expenses-paid awards ceremony. The winning articles will be posted on Time. com. PURPOSEThe main purpose of the essay prize is to generate fresh ideas for tackling key challenges to Asia’s continued competitiveness and development, as well as encourage young professionals to make an impact on public policy and business in Asia.SELECTION CRITERIAThe essay will be judged according to creativity, innovation, rigor of research and writing, as well as achievability of idea. It can be focused on one or more areas relevant to Asia, such as macro-economics, business, international relations, trade and investment, education, healthcare, urban development, science and technology, and energy and the environment. The essay must be written in English. It should not have been previously published in English in a publication with broad international circulation.CANDIDATE REQUIREMENTSThe candidate authoring the essay must be under 32 years of age as of December 31, 2010. The candidate must be an Asian national.SUBMISSIONREQUIREMENTSThe essay should be submitted electronically to prize@ asiabusinesscouncil. Org. by August 31, 2010. Prize winners will be announced in September 2010.The submission should contain the candidate’s full name, nationality, and month and year of birth. The essay should include a title and word count.70. What is the main purpose of the essay prize?A. To select young professionals of both ability and imagination.B. To predict the prospects of Asia in the next decade.C. To issue the challenges facing Asia.D. To inspire brilliant ideas for solving problems in Asia.71. Which of the following statements is NOT true according to the passage?A. The winners of the essay prize can travel to Singapore for free.B. Articles published in local newspapers will not be accepted.C.Young people from Russia or Australia are excluded from the essay prize.D. The candidate’s article can deal with several aspects of developments in Asia.72. The candidate’s article should be sent ___________.A. by air mailB. by e-mailC. by surface mailD. by express mail( C )According to Nielsen, the average number of mobile phone calls we make is dropping every year, after hitting a peak in 2007. And our calls are getting shorter: In 2005 they averaged three minutes in length; now they’re almost half tha t.We are moving, in other words, toward a fascinating cultural transition: the death of the telephone call. This shift is particularlyplainamong the young. Some college students I know go days without talking into their smartphones at all.This generatio n doesn’t make phone calls, because everyone is in constant, lightweight contact in so many other ways: texting, chatting, and social-network messaging. And we don’t just have more options than we used to. We have better ones: These new forms of communication have exposed the fact that the voice call is badly designed. It deserves to die. Consider: If I suddenly decide I want to dial you up, I have no way of knowing whether you’re busy, and you have no idea why I’m calling.We have to open Schrödinger’s box every time, having a conversation to figure out whether it’s OK to have a conversation. Plus, voice calls are emotionally high-bandwidth, which is why it’s so weirdly exhausting to be interrupted by one. ( We apparently find voicemail even more torturous: Studies show that more than a fifth of all voice messages are never listened to. )The telephone, in other words, doesn’t provide any information about status, so we are constantly interrupting one another. The other tools at our disposal are more polite. Instant messaging lets us detect whether our friends are busy without our annoying them, and texting lets us ping one another but not at the same time. ( Plus, we can spend more time thinking about what we want to say. ) Despite the hue and cry about beco ming an “ always on ” society, we’re actually moving away from the demand that everyone should be available immediately.We’ll still make fewer phone calls, as most of our former phone time will migrate to other media. But the calls we do make will be longer, reserved for the sort of deep discussion that the medium does best.As video chatting becomes more common, enabled by the new iPhone and other devices, we might see the growth of persistent telepresence, leaving video-chat open all day so we can speak to a spouse or colleague spontaneously. Or, to put it another way, we’ll call less but talk more.73. The writer of the text thinks that what is happening with mobile phone calls is ________.A. an unexpected occurrenceB. a strange but very predictable factC. an interesting social phenomenonD. negative for social interaction74. In paragraph 3, the writer’s attitude towards phone voice calls is __________.A. doubtfulB. concernedC. positiveD. negative75. The phrase “ hue and cry ” in paragraph 5 means __________.A. appealB. protestC. claimD. argument76. What does the writer think will happen to voice calls in the future?A. They will only be used in emergencies.B. They will continue to get more expensive.C. They will only be used between family members.D. They will be used mainly for intimate and detailed discussions.77. What is the best title of the passage?A. Video ChattingB. Talking into SmartphonesC. The Death of the Phone CallD. Mobile Phone callsSection CDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.Next week, as millions of families gather for their Thanksgiving feasts, many other Americans will go without. According to the United States Department of Agriculture, more than 12 million households lack enough food for everyone in their family at some time during the year---including holidays.Hunger is surprisingly widespread in our country---one of the world’s wealthiest---yet the government estimates that we waste almost 100 billion pounds of food each year, more than one-quarter of our total supply.Reducing this improper distribution of resources is a goal of America’s Second Harvest, the nation’s largest domestic hunger-relief organization. Last year, it distributed nearly 2 billion pounds of food to more than 23 million people in need.America’s Second Harvest is a network of 214 inter-connected food banks and other organizations that gather food from growers, processors, grocery stores and restaurants. In turn, the network distributes food to some 50,000 soup kitchens,homeless shelters and old people’s centers in every county of every state.A great deal of work is involved in distributing tons of food from thousands of donors to thousands of small, nonprofit organizations. Until a few years ago, America’s Second Harvest lacked any effective way to manage their inventory ( 存货 ). Without accurate and timely information, soup kitchens were sometimes empty while food was left to spoil in loadingplaces.In 2000, America’s Second Harvest began to use a new inventory and financial-management system---Ceres. It is software designed specifically for hunger-relief operations. It is used by more than 100 America’s Second Harvest organizations to track food from donation to distribution.Ceres has helped reduce the spoiling of food and improve distribution. An evaluation found that the software streamlined( 提高效率 )food banks’ operations by 23 percent in the first year alone.With more accurate and timely reports, Ceres saves time, frees staff members to focus on finding new donors, and promises more efficient use of donations.Hunger in America remains a troubling social problem. Technology alone cannot solve it. But in the hands of organizations such as America’s Second Harvest, it is a powerful tool that is helping to make a difference---and helping more Americans to join in the feast.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)78.What is the total supply of food in America every year according to the passage ?_____________________________________________________________.79.By “ this improper distribution of resources ” in Paragraph 3, the writer means thatmany Americans ____________________________food while others ____________________________ food.80.What problem was America’s Second Harvest faced with in distributing food beforeCeres was created?_____________________________________________________________.81.Thanks to ____________________________________________________ provided byCeres, more staff are freed to be committed to finding new donors and America’s Second Harvest is able to give out food more efficiently.第II卷（共47分）I. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.1.有可能防止金融危机将来再次发生吗？( possible )2.除非采取紧急措施，否则我们的计划将泡汤。