2012年4月普陀区高三二模 WORD版有答案
普陀区高三英语二模试卷附答案
普陀区2011学年第二学期高三英语质量调研卷2012-4-24英语试卷（完卷时间：120分钟满分：150分）第I卷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. Get some small change. B. Find a shopping center.C. Cash a check at a bank.D. Find a parking meter.2. A. Shopping with his son. B. Buying a gift for a child.C. Promoting a new product.D. Bargaining with a salesgirl.3. A. Taking photographs. B. Enhancing imagesC. Mending cameras.D. Painting pictures.4. A. He is rather disappointed. B. He is highly ambitious.C. He can’t face up to the situation.D. He knows his own limitations.5.A. Female students are unfit for studying physics.B. He can serve as the woman’s private teacher.C. Physics is an important course at school.D. The professor’s suggestion is constructive.6. A. They are not used to living in a cold place. B. They feel lucky to live in Florida.C. They are going to have a holiday.D. They have not booked their air tickets yet.7. A. Look for a more expensive hotel. B. Go to another hotel by bus.C. Try to find a quiet place.D. Take a walk around the city.8. A. To the school. B. To a friend’s house.C. To the post office.D.To her home.9. A. The man has changed his destination.B. The man is returning his ticket.C. The man is flying to New York tomorrow morning.D. The man can’t manage to go to New York as planned.10. A. In a cotton field. B. At a railway station.C. On a farm.D. On a train.Section B PassagesDirections: 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. To protect persons and property. B. To collect taxes.C. To teach and train citizens.D. To save natural resources for future use.12. A.By selling services that make life comfortable. B. By selling land containing oil.C. By selling public lands.D. By selling coal and other natural products.13. A. Environmental pollution and protection. B. Taxes and services for the public.C. Police efforts to protect people.D. People’s attitude toward taxes.Questions 14 through 16 are based on the following passage.14.A. They haven’t devoted as much energy to medicine as to space travel.B. Three are too many kinds of cold viruses for them to identify.C. It is not economical to find a cure for each type of cold.D. They believe people can recover without treatment.15. A. They reveal the seriousness of the problem.B. They indicate how fast the virus spreads.C. They tell us what kind of medicine to take.D. They show our body is fighting the virus.16. A. It actually does more harm than good.B. It causes damage to some organs of our body.C. It works better when combined with other remedies.D. It helps us to recover much sooner.Section C Longer ConversationsDirections: In section C, you will hear two longer conversations. Each conversation will be read twice. After you hear the 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.They are ____17____.What is the relationship between the twospeakers?What’s the purpose of the phone call? Ask Bob to ___18___ on Sunday.Why didn’t Bob accept the offer?Because he was on a __19__trip the whole daythat day.How did the party go? It was ___20 ___ because many people came tothe party and they all enjoyed it very much. Complete the form. Write ONE WORD for each answer.Blanks 21 through 24 are based on the following conversation.What is the advantage of the first place ? You can eat as much 21 as you want. Why do the speakers give up the first choice? There is no 22 or dryer… not even a TV. Where is the second place located? It’s on 23 of the island.What are the speakers talking about? A rental home for 24 .Complete the form. Write NO MORE THAN THREE WORDS for each answer.II. Grammar and VocabularySection ADirections: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.25. It is five years ______ she began to take up raising flowers, and she’s got a lot of experience in how to keep them more attractive.A. afterB. beforeC. sinceD. when26. The doc tor advised Mary strongly that she should take a holiday, but _____ didn’t help.A. itB. sheC. whichD. he27. The physicist has made a discovery, _____ is of great importance to the progress of science and technology.A. I think whichB. that I thinkC. which I thinkD. which I think it28. Traditional and modern medicines are different in _______ the former looks at the whole body as a network.A. whatB. thatC. whichD. if29. A child notices a thousand times a day the differences between the language he uses and the language _____ around him use.A. whoB. thoseC. thatD. which30. Some people hold that, since we live in a money-oriented society, the average individual careslittle about solving ______ problems.A. anyone elses’B. anyone’s elseC. anyone else’sD. any one else’s31. Deep in the Atlantic Ocean, explorers have found may be the most valuable sunken treasure in history.A. whereB. whatC. thatD. which32. Americans eat ______ vegetables per person today as they did 50 years ago.A. more than twiceB. as twice as manyC. twice as many asD. more than twice as many33. People _____ silver or white cars were 50% less likely to suffer serious injury in a crash,compared with drivers of dark color cars.A. driveB. drivingC. drivenD. to drive34. If you want to do the experiment again, you'd better be more careful you made amistake.A. whenB. whyC. whereD. that35.Police are urging anyone who saw the accident ______ them immediately.A. to contactB. contactC. contactingD. need contact36. An excellent source of advice about traveling with infants is . It recommends ______ until the baby is 3 months before traveling.A. to waitB. having waitedC. waitD. waiting37.______ I can’t understand is _______ the illegal cooking oil, mostly made from discarded (被弃的)kitchen waste, is difficult to detect and identify efficiently.A. Why…thatB. That…thatC. What…becauseD. What…why38. Such an educational programme can teach students how to make positive choices when ______ with conflict.A. facingB. having been facedC. having facedD. faced39. We parents often provide our children with many material pleasures, ____ it for granted thatall children like these things.A. takingB. takeC. to takeD. took40. Recently, the Chinese government gave some examples of _______ Dalai Lama’s visitingforeign countries had affected China.A. thatB. whatC. howD. whetherSection 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. recentlyB. affectsC. patternD. variedE. floatsF. warmG. regularlyH. mysteriousI. effectJ. evidenceBig climate changes in the last million years might have come from something very small dust from outer space.Earth changes between ice ages and warm periods in a(n) __41__ that includes several cycles, including a __42__ one that lasts 100,000 years. Scientists __43__suggested this cycle might be due to changes in the inflow of cosmic(宇宙) dust.The idea is that Earth __44__above and below the imaginary planet that runs through the sun and Jupiter(木星), completing a cycle every 100,000 years. So maybe it encounters __45__varying amounts of dust during each cycle that produce the climate trend.Now there is some __46__, from ancient cosmic dust recovered in ocean-floor drilling near the Azores islands west of Portugal. The large quantity of the dust rises and falls with a wonderful 100,000 year cycle during the period analyzed, 253,000 years to 458,000 years ago. Periods of more dust are related to__47__ climates.But that is a long way from showing that the dust __48__ climate. Some scientists argue that it is not clear how cosmic dust would make the climate warmer while dust from volcanoes is known to make it cooler. They say the cosmic dust is so thin that it is hard to see how it could have any climate__49__.Nevertheless, the new study shows scientists have to take the cosmic dust idea seriously.III. Reading ComprehensionSection ADirections: For each blank in the following passages there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.One student skipped class and then sent the professor an e-mail（50）______for copies of her teaching notes.Another（51）______that she was late for a Monday class because she was recovering from drinking too much at a wild weekend party.At colleges and universities in the US,e-mail has made professors more approachable(平易近人).But many say it has made them too accessible,（52）______boundaries that traditionally kept students at a healthy distance.These days,professors say,students seem to view them as available（53）______the clock,sending a steady stream of informal e-mails.“The tone that they take in e-mails is pretty astounding(令人吃惊的),”said Michael Kessler,an assistant dean at Georgetown University.“They’ll（54）______you to help:‘I need to know this.’”“There’s a fine（55）______between meeting their needs and at the same time maintaining a level of legitimacy(正统性)as an （56）______who is in charge.”Christopher Dede,a professor at the Harvard Graduate School of Education,said（57）______show that students no longer defer to(听从)their professors,perhaps because they realize that professors’（58）______could rapidly become outdated.“The deference (听从)was driven by the （59）______that professors were all-knowing sources of deep knowledge,”Dede said,and that notion has（60）______.For junior faculty members(全体教师),e-mails bring new tension into their work,some say,as they struggle with how to（61）______.Their job prospects,they realize,may rest in part on(依赖) student evaluations of their accessibility.College students say e-mail makes（62）______easier to ask questions and helps them learn.But they seem unaware that what they write in e-mails could have negative effects（63）______them,said Alexandra Lahav,and associate professor of Law at the University of Connecticut.She recalled an e-mail message from a student saying that he planned to miss class so he could play with his son.Professor Lahav did not respond.“Such e-mails can have consequences,”she said.“Students don’t understand t hat （64）______they say in e-mail can make them seem unprofessional,and could result in a bad recommendation.”50.A.providing B.offering C.supplying D.askingplained B.argued C.explained D.believed52.A.removing B.moving C.putting D.placing53.A.about B.around C.at D.from54.A.control B.shout C.order D.make55.A.requirement B.contradiction C.tension D.balance56.A.teacher B.instructor C.lecturer D.professor57.A.e-mails B.passages C.texts D.books58.A.technology B.expertise(专门知识) C.science D.imagination59.A.tradition B.sense C.notion (观念) D.meaning60.A.strengthened B.weakened C.reinforced D.consolidated61.A.ask B.question C.respond D.request62.A.him B.her C.you D.it63.A.on B.against C.in D.about64.A.this B.which C.that D.whatSection BDirections:Read the following passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)The Diet Zone: A Dangerous PlaceDiet Coke, diet Pepsi, diet pills, no-fat diet, vegetable diet.We are surrounded by the word “diet”everywhere we look and listen. We have so easily been attracted by the promise and potential of diet products that we have stopped thinking about what diet products are doing to us. We are paying for products that harm us psychologically and physically.Diet products weaken us psychologically. On one level, we are not allowing our brain to admit that our weight problems lie not in actually losing the weight, but in controlling the consumption of fatty, high-calorie, unhealthy foods. Diet products allow us to jump over the thinking stage and go straight for the scale instead. All we have to do is to swallow or recognize the word “diet” in food labels.On another level, diet products have greater psychological effects. Every time we have a zero-calorie drink, we are telling oursel ves without our awareness that we don’t have to work to get results. Diet products make people believe that gain comes without pain, and that life can be without resistance and struggle.The danger of diet products lies not only in the psychological effects they have on us, but also in the physical harm they cause. Diet foods can indirectly harm our bodies because consuming them instead of healthy foods means we are preventing our bodies from having basic nutrients. Diet foods and diet pills contain zero calorie only because the diet industry has created chemicals to produce these wonder products. Diet products may not be nutritional, and the chemicals that go into diet products are potentially dangerous.Now that we are aware of the effects that diet products have on us, it is time to seriously think about buying them. Losing weight lies in the power of minds, not in the power of chemicals. Once we realize this, we will be much better able to resist diet products, and therefore prevent the psychological harm that comes from using them.65. From Paragraph 1, we learn that .A. diet products fail to bring out people’s potentialB. people have difficulty in choosing diet productsC. diet products are misleading peopleD. people are fed up with diet products66. One psychological effect of diet products is that people tend to .A. try out a variety of diet foodsB. hesitate before they enjoy diet foodsC. pay attention to their own eating habitsD. watch their weight rather than their diet67. In Paragraph 3, “gain comes without pain” probably means .A. losing weight is effortlessB. it costs a lot to lose weightC. diet products bring no painD. diet products are free from calories68. Diet products indirectly harm people physically because such products .A. are over-consumedB. lack basic nutrientsC. are short of chemicalsD. provide too much energy(B)Downloading music over the Internet is pretty common among high school and college students. However, when students download and share copyrighted music without permission, they are against the law.A survey of young people’s music ownership has found that teenagers and college students have an average of more than 800 illegally copied songs each on their digital music players．Halfof those surveyed share all the music on their hard drive (硬盘), enabling others to copy hundreds of songs at any one time. Some students were found to have randomly linked their personal blogs to music sites, so as to allow free trial listening of copyrighted songs for blog visitors, or adopted some of the songs as the background music for their blogs. Such practices may be easy and free, but there are consequences.Sandra Dowd, a student of Central Michigan University, was fined US$7,500 for downloading 501 files from LimeWire, a peer-to-peer file sharing program. Sandra claimed that she was unaware that her downloads were illegal until she was contacted by authorities. Similarly, Mike Lewinski paid US$4,000 to settle a lawsuit（起诉）against him for copyright violation (违反). Mike expressed shock and couldn’t believe that this was happening to him. “I just wanted to save some money and I always thought the threat was just a scare tactic(战术).” “You know, everyone does it,” added Mike.The RIAA （Recording Industry Association of America）, the organization that files lawsuits against illegal downloaders, states that suing (控告) students was by no means their first choice. Unfortunately, without the threat of consequences, students are just not changing their behavior. Education alone is not enough to stop the extraordinary growth of the illegal downloading practice.69. What does Mike mean by saying that “the threat was just a scare tactic”?A. One should not be afraid of threats.B. A lawsuit will result from the threat.C. It is unfair to scare people with a threat.D. No serious consequence will follow the threat.70. What is RIAA’s attitude towards students’ illegal downloading behavior?A. They believe that education will help greatly in protecting copyrights.B. They profit from the fines illegal downloaders pay for copyright violations.C. They like to sue students for downloading music illegally from the Internet.D. They think that illegal downloading behavior needs tough measures to correct.71. What’s the best title for this passage?A. Copyright Violators, Beware!B. How to Get Free Music Online!C. A Survey of Students’ Downloading HabitsD. Get rid of Illegal Music Download? Impossible!( C )The French word renaissance means rebirth. It was first used in 1855 by the historian Jules Michelet in his History of France, then adopted by historians of culture, by art historians, and eventually by music historians, all of whom applied it to European culture during the 150 years spanning 1450-1600. The concept of rebirth was appropriate to this period of European history because of the renewed interest in ancient Greek and Roman culture that began in Italy and then spread throughout Europe. Scholars and artists of this period wanted to restore the learning and ideals of the classical civilizations of Greece and Rome. To these scholars this meant a return to human. Fulfillment in life became a desirable goal, and expressing the entire range of human emotions and enjoying the pleasures of t he senses were no longer “frowned on”. Artists and writers now turned to religious subject matter and sought to make their works understandable andappealing.These changes in outlook deeply affected the musical culture of the Renaissance period—how people thought about music as well as the way music was composed and experienced. They could see the architectural monuments, sculptures, plays, and poems that were being rediscovered, but they could not actually hear ancient music —although they could read the writings of classical philosophers, poets, essayists, and music theorists that were becoming available in translation. They learned about the power of ancient music to move the listener and wondered why modern music did not have the same effect. For example, the influential religious leader Bernardino Cirillo expressed disappointment with the learned music of his time. He urged musicians to follow the example of the sculptors, painters, architects, and scholars who had rediscovered ancient art and literature.The musical Renaissance in Europe was more a general cultural movement and state of mind than a specific set of musical techniques. Furthermore, music changed so rapidly during this century and a half —though at different rates in different countries—that we cannot define a single Renaissance style.72. The phrase "frowned on" in Para.1 is closest in meaning to ________.A. given upB. forgotten aboutC. argued aboutD. disapproved of73. It can be inferred from the passage that thinkers of the Renaissance were seeking a rebirth of_______.A. communication among artists across EuropeB. Green and Roman architecture and sculpturesC. a cultural emphasis on human valuesD. religious themes in art that were more abstract74. According to the passage, why was Bemardino Cirillo disappointed with the music of histime?A. It was not complex enough to appeal to musicians.B. It had little emotional impact on the audiences.C. It was too dependent on the art and literature of his time.D. It did not contain enough religious themes.75. Which of the following is mentioned in the passage as a reason for the absence of a singleRenaissance musical style?A. The musical Renaissance was defined by technique rather than style.B. The musical Renaissance was too short to give rise to a new musical style.C. Renaissance musicians adopted the styles of both Greek and Roman musicians.D. During the Renaissance, music never remained the same for very long.Section CDirections: Read the following text and choose the most suitable heading from the list A - F forA. Independence leading to family breakupB. Women’s easy and convenient life in USAC. No marriage for many people nowadaysD. Average American families getting smallE. Full freedom for young womenF. Divorce--- a social problem in USA76. _________Marriage, like other social instructions, is showing the strains of modern life. While more Americans are getting married today than ever before, the divorce rate is also disturbingly on the rise( one divorce for every three marriages last year). Why should this be so, and what, if anything , can we do to reverse this trend?77.__________For most people, life is easier and more comfortable than ever before. Convenience foods from the supermarket simplify shopping and cooking. Household appliances like the vacuum cleaner and the washing machine have made housework much easier to do. Released from these household chores, many wives have found jobs outside the home. Women are achieving economic independence.78 ._______Families, too, are simpler today. In American, it is not customary for parents to live with their married children. With our greater mobility, relatives have scattered, the parents retiring to Florida or Arizona and the young people, after they marry, going wherever their jobs or their interests take them.79.________Young adult women have new freedom, too. While attending college, they often live away from home, sometimes far from their parents or their relatives. After college, they move to the city, find a job, and set up “bachelor” apartment. This is the era of women’s liberation.80. ________But all this freedom and affluence have had an unforeseen and in some respects a devastating effect on marriage. Men and women, no longer dependent on each other for food and maintenance, find it harder to accept the responsibilities and restraints or endurance the misunderstandings of married life. When happiness becomes misery, many couples decide to terminate their marriage through divorce. On the other hand, there is a growing trend today for couples in trouble to try to save their marriage by consulting a professional counselor. He listens patiently while they talk, knowing that only through self-understanding can they solve their problems.Section DDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.Parents and kids today dress alike, listen to the same music, and are friends. Is this a good thing? Sometimes, when Mr. Ballmer and his 16-year-old daughter, Elizabeth, listen to rock music together and talk about interests both enjoy, such as pop culture, he remembers his more distant relationship with his parents when he was a teenager.“I would never have said to my mom, ‘Hey, the new Weezer album is really great. How do you like it?’” says Ballmer. “There was just a complete gap in taste.”Music was not the only gulf. From clothing and hairstyles to activities and expectations, earlier generations of parents and children often appeared to move in separate orbits.Today, the generation gap has not disappeared, but it is getting narrow in many families. Conversations on subjects such as sex and drugs would not have taken place a generation ago.Now they are comfortable and common. And parent—child activities, from shopping to sports, involve a feeling of trust and friendship that can continue into adulthood.No wonder greeting cards today carry the message, “To my mother, my best friend.”But family experts warn that the new equality can also result in less respect for parents. “There’s still a lot of strictness and authority on the part of parents out there, but there is a change happening,” says Kerrie, a psychology professor at Lebanon V alley College. “In the middle of that change, there is a lot of confusion among parents.”Family researchers offer a variety of reasons for these evolving roles and attitudes. They see the 1960s as a turning point. Great cultural changes led to more open communication and a more democratic process that encourages everyone to have a say.“My parents were on the ‘before’ side of that change, but today’s parents, the 40-year-olds, were on the ‘after’ side,” explains Mr. Ballmer. “It’s not something easily accomplished by parents these days, because life is more difficult to understand or deal with, but sharing interests does make it more fun to be a parent now.”(Note: Answer the questions or complete the statements in NO MORE THAN TWELVE WORDS.)81. The underlined word “gulf” in Para.3 most probably means______________.82. How is the generation gap getting narrow today?_____________________________________________.83. What is the change in today’s parent-child relationship?_________________________________________________84. The purpose of the passage is to ___________________________.第II卷I. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.1. 相当多的有关网络的新词已被广泛应用。
【首发】上海市2012届高三二模考试英语汇编完型填空题Word版含答案
2012届上海市高三二模英语试卷——完形填空（崇明）It’s hardly surprising that weather is a favorite topic for so many people around the world. It 50 where we choose to live, what we wear, our moods, and perhaps even our national features. A sunny day can lessen the deepest 51 , while very bad weather can destroy homes and threaten lives.The human race has always tried to 52 the weather, especially in areas of the world where there are many changes. Two popular traditional ways of predicting weather use pine cones(松果) and seaweed(海草). When the air has a high level of humidity(湿度), there is a higher chance of rain. When the humidity is low, there is more chance of 53 weather. Pine cones and seaweed feels dry when the humidity is low, 54 high humidity has the opposite effect.Today’s methods of prediction increasingly depend on 55 . Satellites, balloons, ships, aircraft and weather centers with 56 equipments send data to computers. The data is then 57 , and the weather is predicted. However, 58 this system can not predict weather for longer than about a week.A recent study by an Australian scientist suggests that certain people may have a special 59 for predicting weather. However, it is 60 that these people could use their talent in another way, since the same group had a lot of success in predicting changes in another system—the stock market.It 61 that a study of weather may also enable scientists to predict the sudden 62 of a disease. An Ebola epidemic (a kind of disease) in Uganda in the year 2000 came after the same rare 63 conditions that had been present before a sudden spread of the disease 6 years earlier. Efforts to 64 the spread of air-borne diseases such as foot and mouth are also strongly dependent on favorable wind conditions.50. A. shows B. affects C. predicts D. introduces51. A. enjoyment B. sadness C. excitement D. laziness52. A. guess B. use C. change D. improve53. A. windy B. bad C. fine D. cold54. A. when B. while C. although D. as55. A. industry B. intelligence C. technology D. people56. A. monitoring B. predicting C. shaping D. moving57. A. used B. processed C. taught D. answered58. A. also B. still C. only D. even59. A. gift B. concern C. application D. liking60. A. necessary B. easy C. unique D. possible61. A. happens B. occurs C. appears D. estimates62. A. start B. shift C. cure D. crash63. A. living B. working C. health D. weather64. A. encourage B. quicken C. limit D. shorten50. B 51. B 52. A 53. C 54. B 55. C 56. A 57. B 58. D 59. A 60. D 61. C 62. A 63. D 64. C（奉贤）Is language, like food, a basic human need without which a child at a critical period of life can be 50 and damaged? Judging from an experiment in the thirteenth century, it may be. Hoping to discover what language a child would speak if a baby heard no mother 51 , the experimenter told the nurses to keep silent.All the 52 died before the first year. But clearly there was more than lack of language here. What was missing was good mothering. Without good mothering, in the first year of life53 , the capacity to survive is seriously affected.Today no such severe lack exists as that ordered by the experimenter. 54 , some children are still backward in speaking. Most often the reason for this is that the mother is 55 to the signals of the infant, whose brain is programmed to learn language rapidly. If these sensitive periods are neglected, the ideal time for 56 skills passes and they might never be learned so easily again. A bird learns to sing and to fly rapidly at right time, but the process is slow and hard once the 57 stage has passed.Experts suggest that speech stages are reached in a fixed sequence and at a 58 age, but there are cases where speech has started 59 in a child who eventually turns out to be of high IQ. At twelve weeks a baby smiles and makes vowel-like sounds; at twelve months he can speak simple words and understand simple 60 ; at eighteen months he has a vocabulary of three to fifty words. At three he knows about 1,000 words which he can put into sentences, and at four his language differs from that of his parents in style 61 grammar.Recent evidence suggests that an infant is born with the 62 to speak. What is special about man’s brain, compared with that of the monkey, is the comp lex system which enables a child to 63 the sight and feel of, say, a toy-bear with the sound pattern “toy –bear”. And even more 64 is the young brain’s ability to pick out an order in language from the mixture of sound around him, to analyse, to combine and recombine the parts of a language in new ways.50.A. constructed B. starved C. spoiled D. exhausted51.A. sound B. singing C. educating D. tongue52.A. parents B. care-takers C. infants D. investigators53.A. randomly B. originally C. greatly D. especially54.A. Consequently B. Nevertheless C. Theoretically D. Fortunately55.A. unfamiliar B. inaccessible C. insensitive D. unaccustomed56.A. acquiring B. practising C. occupying D. seizing57.A. critical B. temporary C. contemporary D. reasonable58.A. pleasing B. troublesome C. flexible D. constant59.A. last B. late C. early D. lately60.A. commands B. necessities C. resolutions D. directions61.A. or rather B. or else C. other than D. rather than62.A. inspiration B. passion C. creativity D. capacity63.A. justify B. connect C. oblige D. devote64.A. unpredictable B. unbelievable C. uncountable D. unbearable 50—54 BDCDB 55—59 CAADB 60—64 ADDBB(虹口)The past 20 years have produced great advances in technology and communications. 50, people throughout the world have become ever more connected. The 51link between the nations and people of the world is called globalization. It is a 52that has changed ways of life around the world.Perhaps the biggest change in this process is the effect of globalization on commerce. In an effort to build a 53economy, most nations of the world have embraced(拥抱) free trade. Free trade removes certain limits imposed (强加) on global commerce to make it easier for nations to exchange goods with one another. A 54aim of this process is to aid poor nations and thus reduce 55. Globalization has indeed increased trade throughout the world, but experts disagree about its effect on the poor.The debate about recent trends in global commerce is complex. Those 56free trade in the global market point out that competition lowers prices. Its critics argue that, without controls, such a system often harms poor nations. To some extent, both are 57. For example, in Jamaica, a country which imported milk from the United States and the 58milk was cheaper than local milk, more poor people could drink milk and improve their nutrition. At the same time, the cheaper milk put 59dairy farmers out of business. Perhaps this program caused as much harm as 60 .Those who support free trade in the global market do so for a number of reasons. Studies show that when a poor nation begins trading on the global level, it gains certain 61. Its economy grows rapidly. Multinational companies set up factories, 62jobs for people. Supporters claim that these factors reduce poverty and lessen the gap between the richest and poorest nations. They believe that the globalizing trend benefits the poor.Critics of unrestricted free trade question these conclusions. Although they 63that the global market can offer growth and jobs to poor nations, they doubt that it reduces poverty. In fact, they cite(引述) studies which show that poverty has increased as a result of the global market.64, the gap between rich and poor nations is growing.Regardless of which side they are on, most experts believe that globalization has great potential to aid the poor. Both sides need to find a way to make it work.50. A. In conclusion B. In particular C. As a result D. On the contrary51. A. growing B. starting C. moving D. reducing52. A. culture B. trend C. belief D. potential53. A. regional B. national C. practical D. global54. A. steadier B. further C. tougher D. stricter55. A. profit B. conflict C. poverty D. expense56. A. attracting B. altering C. opposing D. supporting57. A. correct B. inevitable C. necessary D. effective58. A. required B. produced C. imported D. exported59. A. economical B. local C. traditional D. social60. A. sacrifice B. satisfaction C. convenience D. good61. A. benefits B. varieties C. opportunities D. budgets62. A. influencing B. arranging C. providing D. applying63. A. ensure B. assume C. argue D. agree64. A. In addition B. First of all C. In that case D. On average50-64: CABDB CDACB DACDA(黄浦、嘉定)When I became an amputee at age 29, I was forced to rethink the idea of physical perfection. My life became different, as I changed from an acceptably attractive woman to an object of pity and __50__.Too busy __51__ physical pain and obvious mobility limitation, I was not aware of this change at first. I was determined to __52__, feeling good about the progress I had made, as I moved forward.__53__, as I made my first excursion outside the hospital, society had already assigned me a new status. Happy to be free of my restriction in the hospital, I rolled through the shopping mall – a __54__ survivor, feeling like a war hero. Unfortunately, I had a rude __55__ as I discovered that others did not view me in the way I had come to view myself.All eyes were upon me, yet no one dared to make eye contact. Their efforts to __56__ my eyes forced me to realize they saw only my missing legs. Mothers __57__ held their children closer as I passed. Elderly women patted me on the head saying, “God Bless You!” with __58__ in their eyes.While I sat thinking about what had happened, a small girl came up to me. She stared with unembarrassed __59__ at the empty pants. Finding nothing there, she looked up at me with a puzzled look, she innocently asked, “Lady, where did your legs go?”I explained that my legs had been sick. Since my legs hadn’t been strong and healthy like hers, the doctors had to __60__ them. Leaning h er head upwards, she asked, “Did they go to ‘Leg Heaven’?”That incident made me think about how __61__ children and adults react to the unknown. To a child, an odd appearance is an interesting curiosity and a __62__ learning experience while adults often view the same thing with fear and horror. I began to realize that, I, too had been __63__ of the same inappropriate reactions before I knew what life was like for an amputee.To fulfill the wholeness of my mind and spirit, I now smile warmly, make eye contact, and speak in a confident manner. By using a __64__ approach, I attempt to enlighten society about the fact that having a not-so-perfect body doesn’t mean having a poor quality of life.50. A. comfort B. fear C. hatred D. sadness51. A. crying with B. figuring out C. holding back D. dealing with52. A. endure B. quit C. revenge D. succeed53. A. Instead B. Moreover C. However D. Therefore54. A. calm B. poor C. proud D. rare55. A. awakening B. ending C. happening D. proceeding56. A. turn B. hold C. catch D. avoid57. A. softly B. protectively C. reluctantly D. pleasantly58. A. pity B. anger C. depression D. upset59. A. curiosity B. determination C. enthusiasm D.satisfaction60. A. lose B. adjust C. remove D. stretch61. A. differently B. positively C. strangely D. sympathetically62. A. painful B. potential C. similar D. common63. A. conscious B. guilty C. ignorant D. short64. A. creative B. flexible C. positive D. scientific50—54 BDDCC 55—59 ADBAA 60—64 CABBC（静安、杨浦、宝山、青浦）During the initial stages of instructed L2 (the second language) acquisition students learn a couple thousand, mainly high frequency words. Functional language proficiency, however, __50__ mastery of a considerably large number of words. It is therefore __51__ at the intermediate and advanced stages of language acquisition to learn a large vocabulary in a short period of time. There is not enough time to __52__ the natural (largely incidental) L1 (the first language) word acquisition process. Incidental acquisition of the words is only possible up to a point, __53__, on account oftheir low frequency, they do not __54__ often enough in the L2 learning material.Acquisition of new words from authentic L2 reading texts by means of strategies such as contextual deduction(演绎) is also not a __55__ for a number of reasons. There appears to be no __56__to intentional learning of a great many new words in a relatively short period of time. The words to be learned may be __57__ in isolation or in context. Presentation in bilingual（双语的）word lists seems an __58__ shortcut because it takes less time than contextual presentation and yields excellent short term results. Long term memory, __59__, is often disappointing so contextual presentation seems advisable.Any suggestions on how to use this in educational contexts should be based on a systematic __60__ of the two most important aspects of the L2 word learning problem, this is to say, selecting the relevant vocabulary (which and how many words) and creating the best conditions for the acquisition process. This article sets out to __61__a computer assisted word acquisition programme (CAVOCA) which tries to do exactly this: the programme operationalises current theoretical thinking about word acquisition, and its __62__ are based on a systematic list of the vocabulary relevant for the target group. To __63__its frequency, the programme was __64__ in a number of experimental settings with a paired associated method of learning new words. The experimental results suggest that an approach combining the two methods is most advisable.50. A. inquires B. requires C. receives D. inspires51. A. difficult B. easy C. possible D. necessary52. A. copy B. focus C. find D. clean53. A. however B. moreover C. because D. nevertheless54. A. disturb B. seem C. occur D. disappear55. A. solution B. approach C. problem D. wonder56. A. official B. annual C. objective D. alternative57. A. predicted B. presented C. postponed D. preferred58. A. available B. outstanding C. attractive D. evident59. A. by means of B. moreover C. in spite of D. however60. A. focus B. analysis C. object D. target61. A. describe B. grasp C. link D. force62. A. conclusions B. appointments C. aspects D. contents63. A. react B. establish C. memorize D. leave64. A. enhanced B. invented C. contrasted D. behaved50—54 BDACC 55—59 ADBCD 60—64 BADBC（闵行）In business, there is a speed difference: It’s the difference between how important a firm’s leaders say speed is to their competitive strategy (策略) and how fast the company actually moves. The difference is important 50 industry and company size. Companies fearful of losing their competitive advantage spend much time and money looking for ways to pick up the 51 .In our study of 343 businesses, the companies that chose to go, go, go to try to gain an edge ended with lower sales and operating income than those that 52 at key moments to makesure they were on the right 53 . What’s more, the firms that “slowed down to54 ”improved their top and bottom lines, averaging 40% higher sales and 52% higher operating income over a three-year period.How did they 55 the laws of business, taking more time than competitors yet performing better? They thought 56 about what “slower” and “faster” mean. Firms sometimes 57 to understand the difference between operation speed (moving quickly) and strategic speed (reducing the time it takes to deliver value). Simply increasing the speed of production, for example, may be one way to try to reduce the speed difference. But that often leads to reduced value over time, in the form of lower-quality products and services.In our study, higher performing companies with strategic speed always made changes when it is 58 . They became more 59 to idea and discussion. They encouraged new ways of thinking. And they allowed time to look and learn. 60 , performance suffered at firms that moved fast all the time, paid too much attention to improving 61 , stuck to tested methods, didn’t develop team spirit among their employees, and had little time thinking about62 .Strategic speed 63 a kind of leadership. Teams that 64 take time to get things right are more successful in meeting their business goals. That kind of strategy must come from the top.50. A. according to B. regardless of C. due to D. instead of51. A. profit B. product C. speed D. method52. A. paused B. developed C. persevered D. engaged53. A. situation B. track C. occasion D. duty54. A. look on B. keep up C. hold back D. speed up55. A. learn B. discover C. disobey D. prefer56. A. strangely B. abstractly C. entirely D. differently57. A. fail B. attempt C. pretend D. desire58. A. convenient B. necessary C. emergent D. incredible59. A. alert B. restless C. open D. specific60. A. In short B. By contrast C. Above all D. All in all61. A. welfare B. technology C. efficiency D. condition62. A. qualities B. standards C. competitors D. changes63. A. serves as B. stands for C. refers to D. deals with64. A. temporarily B. extensively C. naturally D. regularly50. B 51. C 52. A 53. B 54. D 55. C 56. D 57. A 58. B 59. C 60. B 61. C 62. D 63. A 64. D(浦东)We must face the fact that there are many aspects of the information age. All information makes us anxious. Over some of these, we have little or no control. On the other hand, there are steps we can take to eliminate much of 50 . We might say, then, that survival in the information age is a challenging yet 51 task.To some extent, we are all receivers and givers of information. Our brain, however, receives and processes information in different ways. One way involves the amazing capacity of the brain to process information subconsciously.Another way involves 52 processing of information such as during conversation. Wehave a great deal of control over this type of information processing --- both as givers and receivers. If we indulge (任凭) ourselves talking about tiny things or even harmful information, valuable time and 53 can be wasted. Meanwhile this can make us and others anxious. You may lose opportunities to absorb and distribute information that is truly useful for 54 in this troubled world.Information gathered by reading is processed consciously and 55 takes longest. The written word is still the most powerful way of 56 imagination and conveying information, ideas, and concept.How can we 57 so much information from various sources, such as reading material, TV program, computer games, and other 58 activities? The answer is screening. Screening, sorting out or prioritizing what we need to hear, see, say or read may 59 much information anxiety.To cut through confusing information, 60 this basic rule: Keep it simple! The secret to processing information is narrowing your 61 of information. Simplicity is 62 in many Asian cultures and is even recognized in Western cultures as a superior way of living. Writer Duane Elgin 63 , “To live more simply is to live more purposefully and with a64 of needless distractio n.”50. A. anxiety B. trouble C. interest D. curiosity51. A. donating B. accomplishing C. rewarding D. searching52. A. sensitive B. conscious C. unconscious D. reasonable53. A. health B. wealth C. power D. energy54. A. expanding B. surviving C. stretching D. bearing55. A. hence B. however C. still D. yet56. A. cooperating B. finding C. stimulating D. removing57. A. think of B. deal with C. do with D. rule over58. A. considerate B. professional C. humorous D. recreational59. A. get rid of B. bring about C. break into D. come to60. A. catch B. apply C. abandon D. offer61. A. rank B. limit C. field D. lane62. A. received B. supplied C. labeled D. recommended63. A. opposed B. stated C. declined D. offered64. A. minimum B. maximum C. quantity D. presence50--64. ACBDB ACBDA BCDBA（普陀）One student skipped class and then sent the professor an e-mail（50）______for copies of her teaching notes.Another（51）______that she was late for a Monday class because she was recovering from drinking too much at a wild weekend party.At colleges and universities in the US, e-mail has made professors more approachable(平易近人).But many say it has made them too accessible,（52）______boundaries that traditionally kept students at a healthy distance.These days, professors say, students seem to view them as available（53）______the clock, sending a steady stream of informal e-mails.“The tone that they take in e-mails is pretty astounding(令人吃惊的),”said Michael Kessler, an assistant dean at Georgetown University.“They’ll（54）______you to help:‘I need to know this.’”“There’s a fine（55）______between meeting their needs and at the same time maintaining a level of legitimacy(正统性)as an （56）______who is in charge.”Christopher Dede, a professor at the Harvard Graduate School of Education, said（57）______show that students no longer defer to(听从)their professors, perhaps because they realize that professors’（58）______could rapidly become outdated.“The deference (听从)was driven by the （59）______that professors were all-knowing sources of deep knowledge,”Dede said, and that notion has（60）______.For junior faculty members(全体教师),e-mails bring new tension into their work, some say, as they struggle with how to（61）______.Their job prospects, they realize, may rest in part on(依赖) student evaluations of their accessibility.College students say e-mail makes（62）______easier to ask questions and helps them learn. But they seem unaware that what they write in e-mails could have negative effects（63）______them, said Alexandra Lahav, and associate professor of Law at the University of Connecticut. She recalled an e-mail message from a student saying that he planned to miss class so he could play with his son. Professor Lahav did not respond.“Such e-mails can have consequences,”she said. “Students don’t understand that （64）______they say in e-mail can make them seem unprofessional, and could result in a bad recommendation.”50. A. providing B. offering C. supplying D. asking51. A. complained B. argued C. explained D. believed52. A. removing B. moving C. putting D. placing53. A. about B. around C. at D. from54. A. control B. shout C. order D. make55. A. requirement B. contradiction C. tension D. balance56. A. teacher B. instructor C. lecturer D. professor57. A. e-mails B. passages C. texts D. books58. A. technology B. expertise C. science D. imagination59. A. tradition B. sense C. notion D. meaning60. A. strengthened B. weakened C. reinforced D. consolidated61. A. ask B. question C. respond D. request62. A. him B. her C. you D. it63. A. on B. against C. in D. about64. A. this B. which C. that D. what50---64 DCABC DBABC BCDA D（徐汇、金山）Today, there are many avenues open to those who wish to continue their education. However, nearly all require some __(50)__ in one’s career in order to attend school full time. Part-time education, that is, attending school at night or for one weekend a month, tends to drag the __(51)__out over time and puts the completion of a degree program out of reach of many people. __(52)__, such programs require a fixed time commitment which can also impact __(53)__ on one’s career and family time.Of the many __(54)__ to teaching and learning, however, perhaps the most flexible and accommodating is that called distance learning. Distance learning is an educational method, which allows the students the __(55)__ to study at his or her own pace to achieve the __(56)__ goals, which are so necessary in today’s world. The time required to study may be set aside at the student’s convenience with due __(57)__ to all life’s other requirements. Besides, the student may __(58)__ in distance learning courses from virtually any place in the world, while continuing to pursue their chosen career. Tutorial assistance may be __(59)__through regular airmail, telephone, fax machine, teleconferencing and over the Internet.Good distance learning programs are characterized by the inclusion of a subject __(60)__ tool with every subject. This precludes（排除）the requirement for a student to travel away from home to take a test. Another characteristic of a good distance-learning program is the __(61)__ of the distance-learning course with the same subject materials as those students taking the course on the home campus. The resultant diploma or degree should also be the same whether distance learning or on-campus study is employed.In the final analysis, a good distance learning program has a place not only for the __(62)__ students but also the corporation or business that wants to work in partnership with their employees for the educational benefit, professional development, and business growth of the organization. __(63)__ distance learning programs for their employees gives the business the advantage of retaining（保留）career-minded people while __(64)__to their personal and professional growth through education.50. A. experience B. break C. interest D. change51. A. process B. progress C. property D. possibility52. A. Surprisingly B. Additionally C. Fortunately D. Traditionally53. A. appropriately B. reasonably C. negatively D. favorably54. A. complaints B. attitudes C. difficulties D. approaches55. A. individuality B. responsibility C. flexibility D. visibility56. A. professional B. academic C. relevant D. separate57. A. desire B. ability C. regard D. account58. A. enroll B. evolve C. enclose D. emerge59. A. adequate B. vacant C. available D. reliable60. A. registration B. participation C. investigation D. evaluation61. A. demonstration B. equivalence C. combination D. qualification62. A. distinguished B. outstanding C. independent D. individual63. A. Sponsoring B. Requiring C. Indicating D. Protesting64. A. objecting B. responding C. contributing D. addingSection A 50-54 BABCD 55-59 CBCAC 60-64 DBDAC（杨浦1.5）The Human Development Report, published annually since 1990, seeks to 50 "human development" around the world and calculates a "Human Development Index" (HDI人类发展指数) for 169 countries. The HDI is 51 on average income, life expectancy, and level of education.52 , rich countries tend to have higher HDIs than poor countries, but there are interesting 53 in human development among countries with similar levels of economic development, becausesome have better health and education systems than others!Almost every country in the world has a higher HDI than in 1990, despite the fact that since the 2008 financial crisis the total number of people living in extreme 54 has increased. The report Concludes that most people are healthier, live longer, are more 55 , — and that even in countries with severe economic problems, people's health and education have generally 56 . Although sub-Saharan African countries are at the bottom of the pile 57 human development, some of them have made significant progress since 1990. The report is 58 , however, of the fact that economic inequality has increased significantly in the last twenty years, both within and between countries.The greatest threat to HDI in the future, according to the report, is climate change. The way to increase average income in a country is through economic growth, which means increased production and 59 . However, if this 60 to greater emissions (排放) of greenhouse gases, as has always been the case in the past, global warming will probably go faster, causing severe environmental problems in some parts of the world that will 61 the livelihoods of huge numbers of people. The progress of the last twenty years, 62 , might not be sustainable (可持续的).The only solution, according to the report, is to break the 63 between economic growth and greenhouse gas emissions — which, 64 to say, is easier said than done.50. A. judge B. investigate C. assess D. justify51. A. based B. focused C. keen D. reflected52. A. Unexpectedly B. Unwillingly C. Unfortunately D. Unsurprisingly53. A. variations B. experiments C. signs D. mixtures54. A. cruelty B. poverty C. emotion D. terror55. A. talented B. disadvantaged C. determined D. educated56. A. infected B. ignored C. improved D. impressed57. A. to the extent of B. on account of C. for the sake of D. in terms of58. A. critical B. proud C. fond D. independent59. A. administration B. consumption C. application D. concentration60. A. objects B. sticks C. leads D. turns61. A. threaten B. maintain C. concern D. guarantee62. A. therefore B. however C. otherwise D. nevertheless63. A. gap B. record C. law D. link64. A. fearless B. needless C. careless D. hopelessCloze50-64 CADAB DCDAB CAADB（闸北）Each stage of life has different major demands mainly because our needs change. As children, a period of deep uncertainty and sensitivity, 50 and family are the top needs although we may not think of them in those terms. As teenagers, we are 51 the waters of adult life, preparing ourselves for the exciting unknown and as young adults we search for a 52 . The drive to fulfil each stage is so strong that sometimes we have to hold the breath to 53 .At each stage, although everyone may 54 in dreams, we will all try to take hold of the means to achieve our particular dreams. Some will be driven with almost tunnel vision, others take。
上海市普陀区2012届高三历史4月质量调研试题(普陀二模)
某某市普陀区2012届高三4月质量调研（二模）试题历史考生注意：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，所有答题必须涂（单项选择题）在答题卡上或做（最佳选择题、非选择题）在答题纸上，做在试卷上一律不得分。
2．答题前，务必在答题卡和答题纸上填写某某号、学校和某某。
3．答题纸与试卷的试题编号是一一对应，答题时应特别注意，不能错位。
4．考试时间120分钟，试卷满分150分。
一、单项选择题(30小题，每小题2分，共60分。
每题只有一个正确选项，本题组必须涂在答题卡上。
)1．在人类步入阶级社会以后，贵族和平民成为最初的基本社会等级。
下列关于这两个等级的叙述正确的是A．中国与西欧的封建等级制度迥异B．西欧的封臣对封君没有任何义务C．古罗马平民与贵族利益趋向一致D．古希腊女性也可以享受某某政治2．随着文字的演变，人类书写工具不断革新。
在纸发明之前，下列选项属于书写材料的是①纸草②泥板③龟甲兽骨④石头A．①②③ B．①②③④ C．②③④ D．①②④3．有人说:“雅典的学生已成为他人的老师；雅典已使‘希腊人’一词不再表示一个种族，而表示一种精神面貌。
”下列能代表当时雅典人“精神面貌”的是①某某思想与实践的摇篮②拥有后世影响最广泛的古代法律③拥有千形万态的海湾④古代西方人文精神之源A．①②B．②③C．③④ D．①④4．继希腊人之后，罗马人登上了地中海的历史舞台，他们征服了希腊化的东西。
建立起地跨欧、亚、非的大帝国。
然而，古罗马学者贺拉斯说，被征服的希腊人最终俘虏了罗马人。
贺拉斯所说的“俘虏”是指A．商业征服 B．文化同化 C．某某皈依 D．财富侵蚀5．“这一法律适用的对象是罗马人与外国人及外国人相互之间的讼争案件，它所调解的社会关系不再是一个共同血缘团体内部的关系，而是不同民族的人之间的关系。
”材料中的法律主要是指A ．《十二铜表》B ．《公民法》C ．《万民法》D ．自然法6．右图是中世纪兴起的牛津大学，其最初兴起的主要原因是A ．为传播某某的需要B ．为宣传无神论需要C ．摆脱教会对教育控制D ．欧洲城市复兴的推动7.有人说：“西欧封建社会末期是‘人’和‘世界’被发现的时代。
上海市普陀区2012届高三数学4月质量调研(二模)试题 理 沪教版
上海市普陀区2012年高三年级第二次质量调研数学试卷 （理科）说明：本试卷满分150分，考试时间120分钟。
本套试卷另附答题纸，每道题的解答必须写．．．在答题纸的相应位置，本卷上任何解答都不作评分依据．．．．．．．．．．．．．．．．．．．．．．．．。
一、填空题（本大题满分56分）本大题共有14小题，要求直接将结果填写在答题纸对应的空格中.每个空格填对得4分，填错或不填在正确的位置一律得零分. 1. 函数22()sin cos 22x xf x =-的最小正周期是 . 2. 二项式6)1(xx -的展开式中的常数项是 ．（请用数值作答） 3. 函数1log 121-=x y 的定义域是 .4. 设1e 与2e 是两个不共线的向量，已知122AB e ke =+，123CB e e =+，122CD e e =-，则当A B D 、、三点共线时，k = .5. 已知各项均为正数的无穷等比数列{}n a 中，121a =+，321a =-，则此数列的各项和S = .6. 已知直线l 的方程为230x y --=，点(1,4)A 与点B 关于直线l 对称，则点B 的坐标为 .7. 如图，该框图所对应的程序运行后输出的结果S 的值为 .8. 若双曲线的渐近线方程为3y x =±，它的一个焦点的坐标为(10,0)，则该双曲线的标准方程为 .9. 如图，需在一张纸上印上两幅大小完全相同，面积都是32cm 2的照片. 排版设计为纸上左右留空各3cm ，上下留空各2.5cm ，图间留空为1cm .照此设计，则这张纸的最小面积是 cm 2.10. 给出问题：已知ABC △满足cos cos a A b B ⋅=⋅，试判定ABC △的形状.某学生的解答如下：解：（i ）由余弦定理可得，开始2012?n ≤sin3n S S π←+1n n ←+输出S 结束是否0,0S n ←←第7题图第9题图22222222b c a a c b a b bc ac+-+-⋅=⋅，⇔()()()2222222a b c a b a b -=-+， ⇔222c a b =+,故ABC △是直角三角形.（ii ）设ABC △外接圆半径为R .由正弦定理可得，原式等价于2sin cos 2sin cos R A A R B B =sin2sin2A B ⇔=A B ⇔=， 故ABC △是等腰三角形.综上可知，ABC △是等腰直角三角形.请问：该学生的解答是否正确？若正确，请在下面横线中写出解题过程中主要用到的思想方法；若不正确，请在下面横线中写出你认为本题正确的结果. . 11. 已知数列{}n a 是等比数列，其前n 项和为nS.若1020S =，2060S =，则3010S S = . 12.的正六棱柱的所有顶点都在一个球面上，则此球的体积为 . 13. 用红、黄、蓝三种颜色分别去涂图中标号为1,2,3,,9的9个小正方形（如右图），需满足任意相邻（有公共边的）小正方形所涂颜色都不相同，且标号为“1、5、9”的小正方形涂相同的颜色. 则符合条件的所有涂法中，恰好满足“1、3、5、7、9”为同一颜色，“2、4、6、8”为同一颜色的概率为 .14. 设*N n ∈，n a 表示关于x 的不等式144log log (54)21n x x n -+⨯-≥-的正整数解的个数，则数列{}n a 的通项公式n a = .二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个结论是正确的，必须把正确结论的代号写在答题纸相应的空格中. 每题选对得5分，不选、选错或选出的代号超过一个（不论是否都写在空格内），或者没有填写在题号对应的空格内，一律得零分. 15. “lg ,lg ,lg x y z 成等差数列”是“2y xz =”成立的 （ ）A ．充分非必要条件；B ．必要非充分条件；C ．充要条件；D ．既非充分也非必要条件.16. 设θ是直线l 的倾斜角，且cos 0a θ=<，则θ的值为 （ ）第13题图A. arccos a π-；B. arccos a ；C. arccos a -；D. arccos a π+.17. 设全集为R ，集合22|14x M x y ⎧⎫=+=⎨⎬⎩⎭，3|01x N x x -⎧⎫=≤⎨⎬+⎩⎭，则集合2231|24x x y ⎧⎫⎪⎪⎛⎫++=⎨⎬ ⎪⎝⎭⎪⎪⎩⎭可表示为 （ ）A. M N ；B. MN ； C. R C M N ⋂； D. R M C N ⋂18. 对于平面α、β、γ和直线a 、b 、m 、n ,下列命题中真命题是（ ）A ．若,,a m a n ⊥⊥,m n αα≠≠⊂⊂，则a α⊥； B. 若//,,a b b α≠⊂则//a α； C. 若,,//,//a b a b ββαα≠≠⊂⊂，则//a β； D. 若//,,,a a b βαγβγ⋂=⋂=则//a b ．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规定的方框内写出必要的步骤. 19. （本题满分12分）已知函数()2f x kx =+，0k ≠的图像分别与x 轴、y 轴交于A 、B 两点，且22AB i j =+，函数6)(2--=x x x g . 当x 满足不等式()()f xg x >时，求函数()1()g x y f x +=的最小值.20. （本题满分12分，第1小题满分6分，第2小题满分6分）如图,已知圆锥体SO 的侧面积为15π，底面半径OA 和OB 互相垂直，且3OA =，P 是母线BS 的中点. （1）求圆锥体的体积；（2）异面直线SO 与PA 所成角的大小（结果用反三角函数表示）．21. （本大题满分14分，第1小题满分7分，第2小题满分7分）已知ABC △中，1AC =，23ABC π∠=.设BAC x ∠=，记()f x AB BC =⋅. （1） 求()f x 的解析式及定义域；AB第20题图（2）设()6()1g x m f x =⋅+，是否存在实数m ，使函数)(x g 的值域为31,2⎛⎤ ⎥⎝⎦？若存在，求出m 的值；若不存在，请说明理由.22. （本大题满分16分，第1小题满分5分，第2小题满分5分，第3小题满分6分）已知数列{}n a 是首项为2的等比数列，且满足nn n pa a 21+=+*(N )n ∈.（1） 求常数p 的值和数列{}n a 的通项公式；（2） 若抽去数列{}n a 中的第一项、第四项、第七项、……、第23-n 项、……，余下的项按原来的顺序组成一个新的数列{}n b ，试写出数列{}n b 的通项公式；（3） 在（2）的条件下，设数列{}n b 的前n 项和为n T .是否存在正整数n ，使得1113n n T T +=？若存在，试求所有满足条件的正整数n 的值；若不存在，请说明理由.23. （本大题满分20分，第1小题满分4分，第2小题满分6分，第3小题最高分10分）设点F 是抛物线L ：22y px =(0)p >的焦点，123n P P P P 、、、、是抛物线L 上的n个不同的点（3,n ≥*N n ∈）.（1） 当2p =时，试写出抛物线L 上的三个定点1P 、2P 、3P 的坐标，从而使得123||||||6FP FP FP ++=；（2）当3n >时，若1230n FP FP FP FP ++++=，求证：123||||||||n FP FP FP FP np ++++=；（3） 当3n >时，某同学对（2）的逆命题，即： “若123||||||||n FP FP FP FP np ++++=，则1230n FP FP FP FP ++++=.”开展了研究并发现其为假命题.请你就此从以下三个研究方向中任选一个开展研究：① 试构造一个说明该逆命题确实是假命题的反例（本研究方向最高得4分）； ② 对任意给定的大于3的正整数n ，试构造该假命题反例的一般形式，并说明你的理由（本研究方向最高得8分）；③ 如果补充一个条件后能使该逆命题为真，请写出你认为需要补充的一个条件，并说明加上该条件后，能使该逆命题为真命题的理由（本研究方向最高得10分）.【评分说明】本小题若选择不止一个研究方向，则以实得分最高的一个研究方向的得分作为本小题的最终得分.2012年普陀区高三第二次质量调研数学试卷参考答案一、填空题（每小题4分，满分56分）： 1. π2； 2. 20-； 3. （文） )1(∞+，； （理）(0,1)(12)，； 4. 8-；5. 2232+； 6. )2,5(； 7. 3； 8. 1922=-y x ； 9. 196； 10. 等腰或直角三角形； 11. （文）6；（理）7； 12. （文）π34；（理） 29π； 13. （文）108；（理）181； 14. 1*341,N n n -⋅+∈. 二、选择题（每题5分，满分20分）：三、解答题（满分74分）： 19.（本题满分12分） 解：由题意知：)0,2(k A -、)2,0(B ，则)2,2()2,2(==kAB 可解得：1=k ，即2)(+=x x f因为)()(x g x f >，即622-->+x x x ，解不等式得到()4,2-∈x2()15()2g x x x y f x x +--==+2(2)5(2)112522x x x x x +-++==++-++ 因为()4,2-∈x ，则()6,0)2(∈+x 所以35212)(1)(-≥-+++=+x x x f x g ，当且仅当212+=+x x ，即12=+x ，1-=x 时，等号成立. 所以，当1-=x 时，)(1)(x f x g +的最小值为3-.20.（本题满分12分）解：（1）由题意，15OA SB ππ⋅⋅=得5BS =，xCBA 故2222534SO SB OB =-=-=从而体积2211341233V OA SO πππ=⋅⋅=⨯⨯=.（2）如图2，取OB 中点H ，联结PH AH 、.由P 是SB 的中点知PH SO ∥，则APH ∠(或其补角)就是异面直线SO 与PA 所成角.由SO ⊥平面OAB ⇒PH ⊥平面OAB ⇒PH AH ⊥.在OAH ∆中，由OA OB ⊥得22352AH OA OH =+=； 在Rt APH ∆中，90AHP O ∠=，122PH SB ==，35AH =， 则35tan AH APH PH ∠==SO 与PA 所成角的大小35arctan .21. （本题满分14分，其中第1小题7分，第2小题7分） 解：（1）如图，在ABC ∆中，由23ABC π∠=，x BAC =∠， 可得x ACB -=∠3π，又 1AC =，故由正弦定理得 2sin 3sin()sin 33ABBC AC x x ππ===- ⇒sin()33AB x π=-、3BC x =.则函数()f x AB BC =⋅2||||cossin sin()333AB BC x x ==-ππ231sin sin )32x x x =-2312sin 3x x =- 11(32cos 2)66x x =+-11sin(2)366x π=+-， 其中定义域为0,3x ⎛⎫∈ ⎪⎝⎭π. 说明：亦可用积化和差方法化简：2111()sin sin()[cos cos(2)]cos(2)33333336f x x x x x ==-=---=--ππππ. （2）()6()12sin(2)16g x mf x m x m =+=+-+π由0,3x ⎛⎫∈ ⎪⎝⎭π可得52(,)666x πππ+∈⇒)62sin(π+x ]1,21(∈.显然，0m ≠，则 1O 当0>m 时，()(1,1]g x m ∈+，则)(x g 的值域为]23,1(⇔231=+m ⇔21=m ； 2O 当0m <时，()[1,1)g x m ∈+，不满足)(x g 的值域为]23,1(； 因而存在实数21=m ，使函数)(x g 的值域为31,2⎛⎤ ⎥⎝⎦.22. （本大题满分16分，第1小题满分5分，第二小题满分5分，第3小题满分6分）（1）解：由n n n pa a a 2,211+==+得222+=p a ，42223++=p p a ，又因为存在常数p ，使得数列{}n a 为等比数列，则3122a a a =即)422(2)22(22++=+p p p ，所以1=p .故数列{}n a 为首项是2，公比为2的等比数列，即nn a 2=.此时11222++=+=n n n n a 也满足，则所求常数p 的值为1且*2(N )n n a n =∈.（2）解：由等比数列的性质得：（i ）当*2(N )n k k =∈时，kk n a b 332==； （ii ） 当*21(N )n k k =-∈时，13132--==k k n a b ，所以312*322,21,(N )2,2,n n nn k b k n k +⎧=-⎪=∈⎨⎪=⎩. （3）（文科）解：注意到21{}n b -是首项14b =、公比8q =的等比数列，2{}n b 是首项28b =、公比8q =的等比数列，则（i ）当2n k =*(N )k ∈时，21321242()()n k k k T T b b b b b b -==+++++++4(81)8(81)8181kk--=+--2128121281277nk⋅-⋅-==；（ii ）当21n k =-*(N )k ∈时，12212212812581258128777n k kk n k k k T T T b +-⋅-⋅-⋅-==-=-==. 即12*25812,217(N )12812,27n n nn k T k n k+⎧⋅-⎪=-⎪=∈⎨⎪⋅-⎪=⎩.（3）（理科）解：（续文科解答过程）假设存在正整数n 满足条件，则1111118133n n n n n n n n n T T b b b T T T T +++++==+=⇔=， 则（i ）当*2,(N )n k k =∈时，3212122288888128121281237k k k n k k kn kb b T T +++⋅====⇒=⋅-⋅-1k ⇒=， 即当2n =时满足条件；（ii ）当*21,(N )n k k =-∈时，128788968581258123197k k kn k k k n n b b T T +⋅====⇒=⋅-⋅-. 因为*N k ∈，所以此时无满足条件的正整数n . 综上可得，当且仅当2n =时，1113n n T T +=.23. （本大题满分20分，第1小题满分4分，第2小题满分6分，第3小题最高分10分） （理）解：（1）抛物线L 的焦点为(,0)2pF ，设111222333(,)(,)(,)P x y P x y P x y 、、， 分别过123P P P 、、作抛物线L 的准线l 的垂线，垂足分别为123Q Q Q 、、.由抛物线定义得123112233123||||||||||||()()()222p p pFP FP FP PQ P Q PQ x x x ++=++=+++++ 623321=+++=px x x因为2p =，所以3321=++x x x ，故可取，，)2,1()2,21(21P P 3P )6,23(满足条件. （2）设111222333(,)(,)(,)(,)n n n P x y P x y P x y P x y 、、、、，分别过123n P P P P 、、、、作抛物线L 的准线l 垂线，垂足分别为123n Q Q Q Q 、、、、.由抛物线定义得123112233||||||||||||||||n n n FP FP FP FP PQ PQ PQ PQ ++++=++++123()()()()2222n p p ppx x x x =++++++++123()2n np x x x x =+++++ 又因为1230n FP FP FP FP ++++=⇒123()()()()02222n p p ppx x x x -+-+-++-=⇒221np x x x n =+++ ； 所以123||||||||n FP FP FP FP ++++123()2n npx x x x =+++++np =. （3） ①取4=n 时，抛物线L 的焦点为(,0)2pF ， 设111222333(,)(,)(,)P x y P x y P x y 、、，),(444y x P 分别过123P P P 、、4P 、作抛物线L 的准线l 垂线，垂足分别为123Q Q Q 、、4Q 、.由抛物线定义得=+++44332211Q P Q P Q P Q P +++=244321px x x x ++++p 4=， 则p x x x x 24321=+++，不妨取22,411p y px ==；,22px =p y =2；,23px =p y -=3；443,4p x y ==， 则=+++4321FP FP FP FP (p x x x x 24321-+++，)4321y y y y +++0,2p ⎛⎫= ⎪⎝⎭0≠.故1,42p P ⎛⎫⎪⎝⎭，2,2p P p ⎛⎫ ⎪⎝⎭，3,2p P p ⎛⎫- ⎪⎝⎭，434p P ⎛⎝⎭是一个当4n =时，该逆命题的一个反例.(反例不唯一)② 设111222333(,)(,)(,)(,)n n n P x y P x y P x y P x y 、、、、，分别过123n P P P P 、、、、作 抛物线L 的准线l 的垂线，垂足分别为123n Q Q Q Q 、、、、，由123||||||||n FP FP FP FP np ++++=及抛物线的定义得np np x x x n =++++221 ，即221np x x x n =+++ . 因为上述表达式与点111222333(,)(,)(,)(,)n n n P x y P x y P x y P x y 、、、、的纵坐标无关，所以只要将这n 点都取在x 轴的上方，则它们的纵坐标都大于零，则=+++n FP FP FP 21(,221npx x x n -+++ )21n y y y +++ (=,0)21n y y y +++ ，而021>+++n y y y ，所以021≠+++n FP FP FP . （说明：本质上只需构造满足条件且120n y y y +++≠的一组n 个不同的点，均为反例.）③ 补充条件1：“点i P 的纵坐标i y （1,2,,i n =）满足 1230n y y y y ++++=”，即：“当3n >时，若123||||||||n FP FP FP FP np ++++=，且点i P 的纵坐标iy （1,2,,i n =）满足1230n y y y y ++++=，则1230n FP FP FP FP ++++=”.此命题为真.事实上，设111222333(,)(,)(,)(,)n n n P x y P x y P x y P x y 、、、、，分别过123n P P P P 、、、、作抛物线L 准线l 的垂线，垂足分别为123n Q Q Q Q 、、、、，由12||||||n FP FP FP np +++=，及抛物线的定义得np np x x x n =++++221 ，即221npx x x n =+++ ，则 =+++nFP FP FP 21(,221npx x x n -+++ )21n y y y +++ (=,0)21n y y y +++ ，又由1230n y y y y ++++=，所以1230n FP FP FP FP ++++=，故命题为真.补充条件2：“点k P 与点1n k P -+(n 为偶数，*N )k ∈关于x 轴对称”，即：“当3n >时，若123||||||||n FP FP FP FP np ++++=，且点k P 与点1n k P -+(n 为偶数，*N )k ∈关于x 轴对称，则1230n FP FP FP FP ++++=”.此命题为真.（证略）23.（文）（1）解：抛物线L 焦点(1,0)F ，准线l 方程为：1-=x .由抛物线定义得11||1FP x =+，22||1FP x =+，33||1FP x =+，∴ 73||||||321321=+++=++x x x FP FP FP .（2）证明：由)0,1(F ，),1(111y x FP -=，),1(222y x FP -=，…，),1(n n n y x FP-= ， 1230n FP FP FP FP ++++=⇒0)1()1()1(21=-++-+-n x x x ，即n x x x n =+++)(21 .则12||||||n FP FP FP +++)1()1()1(21++++++=n x x xn x x x n ++++=)(21 n 2=.（3）经推广的命题：“当3n >时，若021=+++n FP FP FP ，则np FP FP FP n =+++||||||21 .” 其逆命题为：“当3n >时，若np FP FP FP n =+++||||||21 ，则021=+++n FP FP FP ”. 该逆命题为假命题.不妨构造特殊化的一个反例：设2p =，4n =，抛物线x y 42=，焦点)0,1(F .由题意知：1234||||||||8FP FP FP FP +++=；根据抛物线的定义得：8)1()1()1()1(4321=+++++++x x x x ⇒44321=+++x x x x ；不妨取四点坐标分别为)0,0(1P 、)2,1(2P 、)2,1(3-P 、)22,2(4P ，但0)22,0()22,1()2,0()2,0()0,1(4321≠=+-++-=+++FP FP FP FP ，所以逆命题是假命题.。
上海市普陀区高三二模 语文试卷(Word版,含答案)
上海市普陀区高三年级第二次质量调研语文试卷考生注意：1．本试卷满分为150分，其中阅读部分80分，写作部分70分，考试时间为150分钟。
2．学生答题全部做在答题纸上。
3．答题纸与试卷在试题编号上是一一对应的，答题时应特别注意，不能错位。
阅读（80分）一、阅读下文，完成1—7题（17分）中国式大众时代石勇170多年前，法国历史学家托克维尔敏锐地捕捉到，“大众”出现在了历史的地平线上，欧美将进入大众所主导的时代。
差不多半个世纪后，同样是法国人的勒庞发现，大众的理性能力非常值得怀疑。
又过了半个世纪，在1930年代，西班牙哲学家加塞特发现了“大众灾难”的秘密——纳粹德国不过是大众集体非理性的合乎逻辑的结果。
①“大众”这一概念，隐含着是“现代社会”的产物。
而我们说到以宏大叙事、激昂理想为特征的“大时代”和以个体、群体的小情趣、小偏好为特征的“小时代”，恰恰和“大众”、“现代社会”这两个概念息息相关——它们都是公共领域裂变①的结果。
②从英国工业革命时算起，包括以上的时间片段，无疑都是西方在现代化进程中的“大时代”：政治、经济、社会、文化命题宏大、高远，其间，伴随着残酷的战争。
在时代议题中，个人和小群体的趣味偏好无容身之地。
西方的现代化历程、中国从1911年到20世纪80年代的历程已经说明了这一点。
一个“大时代”，无人可以抗拒。
因为不跟随、参与、介入，个人将找不到意义，将有被抛弃感。
在“大时代”可以找到的自我面前，“小时代”的那种渺小的自我几乎不堪一击。
比如，20世纪30年代，在革命面前，一些具有“小资产阶级”情调的富家子弟，一些学生，就会感到个人的那些小情调是多么可笑。
革命所对应的“大时代”，使他们没有任何犹豫地迅速埋掉他们过去的自我。
然而按照勒庞、弗洛伊德、加塞特等人的说法，大众身上燃烧着的那些非理性的激情，极容易成为玩宏大叙事、政治修辞的领袖人物改变政治结构的能量。
毫无疑问，在这样的大众眼中，个人趣味、偏好渺小得不值一提。
2012届普陀区政治二模卷
上海市普陀区2011学年第二学期高三质量调研政治（加试）试卷考生注意：1、考试为闭卷考试，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，试卷包括试题与答题要求，所有答题必须做在答题纸上，做在试卷上一律不得分。
3、答题前，务必在答题纸上填写学校、班级、学号和姓名。
4、答题纸与试卷在试题编号上是一一对应的，答题时应特别注意，不能错位。
一、单项选择题（共42分，每小题2分。
每小题只有一个正确选项）1、2011年12月12日至14日，中央经济工作会议在北京召开。
会议认为，推动2012年经济社会发展，要突出把握好（）的工作总基调。
A．又好又快B．改革创新C．稳中求进D．科学发展2、2012年2月14日，中共中央、国务院在北京隆重举行国家科学技术奖励大会。
胡锦涛总书记为谢家麟、吴良镛两位科学家颁发国家（）A．最高自然科学奖B．最高社会科学奖C．最高工程技术奖D．最高科学技术奖3、2012年3月28日，国务院总理温家宝主持召开国务院第七次全体会议，决定任命（）为香港特别行政区第四任行政长官，于2012年7月1日就职。
A．唐英年B．梁振英C．曾荫权D．董建华4、2011年12月24日，跨越长江、连接沪苏，被称为“长江入海第一桥”的（）正式建成通车。
A．苏通大桥B．东海大桥C．长江隧桥D．崇启大桥5、2011年7月26日，中国研制的深海载人潜水器（）成功突破5000米水深大关，创造了我国载人深潜的新历史。
A．“北斗”号B．“向阳红”号C．“蛟龙”号D．“雪龙”号6、2011年12月16日，在瑞士日内瓦举行的世界贸易组织第八届部长级会议通过了关于（）加入世界贸易组织的决定。
A．法国B．俄罗斯C．日本D．瑞典7、我国是人民民主专政的社会主义国家，国家一切权力属于人民，人民行使国家权力的机关是（）①全国人民代表大会②地方各级人民代表大会③中央人民政府④地方各级人民政府A．①B．①②C．①③D．③④8、根据宪法规定，公民依法享有选举权和被选举权。
上海市普陀区2012届高三4月质量调研(二模)试题(化学)
上海市普陀区2012届高三4月质量调研（二模）试题化学试卷考生注意：1、考试时间120分钟，试卷满分150分。
2、本考试设试卷与答题纸两部分，试卷包括试题与答题要求。
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，并将核对后的条形码贴在指定位置上。
相对原子质量：H—1 C—12 N—14 O—16 S－32 Ca－40 Na—23第Ⅰ卷（共66分）一、选择题（本题共10分，每小题2分，只有一个正确选项，答案涂写在答题纸上。
）1．华裔科学家高锟发明的光导纤维被称为信息时代的神经。
光导纤维属于A．无机非金属材料B．金属材料C．有机高分子材料D．复合材料2．生活中处处有化学。
下列相关表述正确的是A．天然橡胶的主要成分是异戊二烯B．通过物理变化将煤气化和液化，能高效清洁地用煤C．苯酚能用于环境消毒D．乙醇是不可再生的能源3．化工生产需要用到各种原料，其中与事实相符合的是A．用乙醇和浓硫酸制乙烯B．用电解水获得的氢气来合成氨C．用晒盐后的卤水制溴单质D．用氢氧化钠和二氧化碳制碳酸钠4．科研、生产、生活中离不开溶液的浓度，相关物质的浓度描述可信的是A．5mol/L 氢硫酸溶液B．18.4mol/L 盐酸溶液C．含甲醛40%的福尔马林溶液D．含乙酸12%的食醋溶液5．下列化学用语只能用来表示一种微粒的是A．C3H8B．C．二氯乙烷D．二、选择题（本题共36分，每小题3分，只有一个正确选项，答案涂写在答题纸上。
）6．油脂在NaOH 稀溶液中发生皂化反应，可以判断反应基本完成的现象是 A ．反应液使酚酞试液变红色B ．反应液使蓝色石蕊试纸变红色C ．有大量固体析出D ．反应后静置，反应液不分层 7．能用键能大小解释的事实是A ．硝酸比磷酸易挥发B ．金刚石的熔点比晶体硅高C ．惰性气体一般很难发生化学反应D ．通常情况下单质溴呈液态、碘呈固态 8．某溶液中存在五种离子：NO 3－、SO 42－、Fe 3+、H +和一种未知离子（OH －忽略不计），它们物质的量浓度之比为2：3：1：3：1，则未知离子可能为 A ．Fe 2+ B ．Ba 2+ C ．C1－D ． M g 2+9．利用电化学原理保护钢闸门的某装置如图所示，关于该装置的说法正确的是 A ．钢闸门应与外接电源的负极相连 B ．该装置的原理是“牺牲阳极阴极保护法” C ．辅助电极材料可用锌D ．阴极的电极反应式：2Cl --2e →Cl 2↑10．按如图实验，反应后可能出现的现象是A ．a 装置中有白色固体B ．b 装置中产生白色沉淀C ．c 装置中溶液先变红后褪色D ．d 装置中溶液变蓝色11．任意混合组内溶液，发生的反应均可用离子方程式 Ca 2++HCO 3-+OH -→CaCO 3↓+H 2O 来表示的是A ．Ca(HCO 3) 2(aq)与Ca(OH) 2(aq)B ．Ca(HCO 3) 2(aq)与NaOH(aq)C ．NaHCO 3 (aq)与Ca(OH) 2(aq)D ．Mg(HCO 3) 2(aq)与NaOH (aq) 12．依据有关化学原理推断正确的是A ．常温常压下，弱酸A 的浓度小于弱酸B ，则A 的电离程度一定大于B B ．晶体A 易溶于CCl 4，则A 一定是分子晶体C ．在溶液中单质A 能置换出金属B ，则单质A 可以是金属也可以是非金属D ．能量越低越稳定，故自然界的物质都以能量最低的形态存在b c d (BaCl 2溶液) (石蕊溶液) (淀粉碘化钾溶液) 铜丝13．相同温度下，在体积相等的三个恒容密闭容器中发生可逆反应： N 2(g)＋3H 2(g)2NH 3(g)+ 92.4 kJ 。
2012学年第一学期普陀区高三数学质量调研卷
2012学年第一学期普陀区高三数学质量调研卷考生注意： 2013.11.答卷前，考生务必在答题纸上将姓名、考试号填写清楚，并在规定的区域贴上条形码.2.本试卷共有23道题，满分150分.考试时间120分钟.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. 不等式1|2|≤-x 的解为 .2. 函数x x y 2cos 2sin +=的最小正周期=T .3. 若集合}156|{>+=x x A ，集合1{-=B ,0,1,2,}3，则A B= . 4.【理科】如图，正方体1111D C B A ABCD -中，直线1BD 与平面11B BCC 所成的角的大小为 （结果用反三角函数值表示）.5. 【理科】若函数3()log f x a x =-的图像经过点)1,1(，则=--)8(1f.6. 若等差数列}{n a 的前n 项和为n S ，1442=+a a ，770S =，则数列}{n a 的通项公式 为 .7. 在一个袋内装有同样大小、质地的五个球，编号分别为1、2、3、4、5，若从袋中任意 取两个，则编号的和是奇数的概率为 （结果用最简分数表示）8. 在210(2x 的二项展开式中，常数项等于 . 9. 若函数)2sin()(ϕ+=x A x f （0>A ,22πϕπ<<-图，则=)0(f .10. 在ABC △中，若2AB AC ⋅=,7-=⋅= .11. 【理科】若函数()f x 满足)9(2)10(+=+x f x f ，且1)0(=f ，则=-)10(f _.12. 【理科】 若)0,3(-C 、)0,3(D ，M 是椭圆2214x y +=上的动点，则11MC MD+ 的最小值为 .13. 三棱锥S ABC -中，E 、F 、G 、H 分别为（第4题图）S EHSA 、AC 、BC 、SB 的中点，则截面EFGH将三棱锥S ABC -分成两部分的体积之比为 .14. 已知函数⎪⎩⎪⎨⎧≥-<≤+=1,21210,1)(x x x x f x ，设0a b >≥，若)()(b f a f =，则)(a f b ⋅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. 已知函数=y )(x f (R x ∈)，则“)2()1(f f <”是“函数=y )(x f 在R 上是增函数”的…………………………………………………………………………………………（ ） （A ）充分非必要条件. （B ）必要非充分条件. （C ）充要条件. （D ）非充分非必要条件.16. 【理科】双曲线22221x y a b λλ+=--（22b a >>λ）的焦点坐标为……………………（ ）（A ）)0,(22b a +±. （B ）)0,(22b a -±. （C ）)0,2(22λ-+±b a . （D ）),0(22b a +±.17. 已知0>a ,0>b ,若11lim 5n n n nn a b a b ++→∞-=-，则b a +的值不可能．．．是…………………（ ） （A ）7. （B ）8. （C ）9. （D ）10.18. 如图,四边形ABCD 是正方形，延长CD 至E ，使得CD DE =.若动点P 从点A 出发，沿正方形的边按逆时针方向运动一周回到A 点，其中AP AB AE λμ=+，下列判断正确．．的是…………………………………………………………………………………（ ） （A ）满足λμ+2=的点P 必为BC 的中点. （B ）满足1λμ+=的点P 有且只有一个. （C ）λμ+的最大值为3. （D ）λμ+的最小值不存在.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.P（第18题图）19. （本题满分12分）本大题共有2小题，第1小题满分6分，第2小题满分6分.如图，某种水箱用的“浮球”，是由两个半球和一个圆柱筒组成. 已知球的直径是6cm ，圆柱筒长2cm .（1）这种“浮球”的体积是多少3cm （结果精确到0.1）？ （2）要在这样2500个“浮球”表面涂一层胶质，如果每平方米需要涂胶100克，共需胶多少？20. （本题满分14分）本大题共有2小题，第1小题满分6分，第2小题满分8分.已知动点),(y x A 到点)0,2(F 和直线2-=x 的距离相等. 52、求动点A 的轨迹方程； 53、记点)0,2(-K ，若AF AK 2=，求△AFK 的面积.21.（本题满分14分） 本大题共有2小题，第1小题6分，第2小题8分.已知a 、b 、c 是ABC △中A ∠、B ∠、C ∠的对边,34=a ,6=b ，31cos -=A ． （1）求c ； （2）求)42cos(π-B 的值．22. （本题满分16分） 本大题共有3小题，第1小题满分5分，第2小题满分5分 ，第3小题满分6分.【理科】在平面直角坐标系xOy 中，点n A 满足)1,0(1=OA ，且)1,1(1=+n n A A ；点n B 满足)0,3(1=OB ，且)0,)32(3(1n n n B B ⋅=+，其中*n N ∈．（1）求2OA的坐标，并证明．．点n A 在直线1y x =+上；（第20题图）m（第19题图）6cm（2）记四边形11n n n n A B B A ++的面积为n a ，求n a 的表达式；（3）对于（2）中的n a ，是否存在最小的正整数P ，使得对任意*n N ∈都有P a n <成立？若存在，求P 的值；若不存在，请说明理由．23.（本题满分18分） 本大题共有3小题，第1小题满分4分，第2小题满分6分 ，第3小题满分8分.【理科】设函数)(x f 和)(x g 都是定义在集合M 上的函数,对于任意的x M ∈，都有))(())((x f g x g f =成立，称函数)(x f 与)(x g 在M 上互为“H 函数”.（1）函数x x f 2)(=与x x g sin )(=在M 上互为“H 函数”，求集合M ；（2）若函数x a x f =)((0a a >≠且1)与1)(+=x x g 在集合M 上互为 “H 函数”,求证：1>a ；（3）函数2)(+=x x f 与)(x g 在集合1|{->=x x M 且32-≠k x ，*N k ∈}上互为“H函数”，当10<≤x 时,)1(log )(2+=x x g ，且)(x g 在)1,1(-上是偶函数,求函数)(x g 在集合M 上的解析式.2012学年第一学期普陀区高三理科数学质量调研评分标准一、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.[1,3] 2.π 3.}0,1{- 4.【理科】22arctan 5.93 6.32n a n =-（*N n ∈） 7.538.180 9.1- 10.3 11.【理科】1021 12.1 13.1:1 14.)2,43[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. 16. 17. 18. BBDC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.【解】（1）cm d 6=，cm R 3=，πππ362734343=⋅==R V 球3cm …………2分 2=h ，πππ18292=⨯⨯=⋅=h R V 圆柱3cm …………2分 =V 圆柱球V V +6.169541836≈=+=πππ3cm …………2分（2）πππ369442=⨯⨯==R S 球表2cm …………2分πππ122322=⨯⨯⨯==Rh S 圆柱侧2cm …………2分1个“浮球”的表面积πππ4411048101236=+=S 2m2500个“浮球”的表面积的和ππ121048250042500=⨯=S 2m所用胶的质量为ππ120012100=⨯（克）…………2分答：这种浮球的体积约为6.1693cm ；供需胶π1200克.20.【解】（1）由题意可知，动点A 的轨迹为抛物线，其焦点为)0,2(F ，准线为2-=x设方程为px y 22=，其中22=p，即4=p ……2分 所以动点A 的轨迹方程为x y 82=……2分（2）过A 作l AB ⊥，垂足为B ,根据抛物线定义，可得||||AF AB =……2分AF AK 2=，所以AFK ∆是等腰直角三角形………2分4||=KF …………2分 所以84421=⨯⨯=∆AFK S …………2分21.【解】（1）在ABC △中，由余弦定理得，A bc c b a cos 2222-+=…………2分)31(6236482-⨯⨯⨯-+=c c …………2分即01242=-+c c ，0)2)(6(=-+c c ，解得2=c …………2分（2）由031cos <-=A 得A 为钝角，所以322sin =A …………2分 在ABC △中， 由正弦定理，得sin sin a bA B = 则36343226sin sin =⨯=⋅=a A b B …………2分 由于B 为锐角，则33cos =B ……2分 313221sin 212cos 2-=⋅-=-=B B32233362cos sin 22sin =⋅⋅=⋅=B B B 所以)42cos(π-B 624)32231(22)2sin 2(cos 22-=+-=+=B B ………2分 22.【理科】【解】（1）由已知条件得，(1,1)21=A A ,=21A A 2OA1OA -,所以(1,2)2=OA ……2分(1,1)1=+n n A A ，则)1,1(1=-+n n OA OA设),(n n n y x OA =，则11=-+n n x x ，11=-+n n y y所以11)1(0-=⋅-+=n n x n ；n n y n =⋅-+=1)1(1………2分即),1(n n A n -=满足方程1y x =+，所以点n A 在直线1y x =+上. ………1分 （证明n A 在直线1y x =+上也可以用数学归纳法证明.） （2）由（1）得),1(n n A n -)0,)32(3(11n n n n n OB OB B B ⋅=-=++ ………1分设),(n n n v u B ，则31=u ，01=v01=-+n n v v ，所以0=n vn n n u u )32(31⋅=-+， 逐差累和得，))32(1(9n n u -=，所以)0),)32(1(9(nn B -………2分设直线1y x =+与x 轴的交点()1,0P -，则()111121210911092323n n n nn nn PA B PA B a S S n n +++∆∆⎡⎤⎡⎤⎛⎫⎛⎫=-=-+--⎢⎥⎢⎥ ⎪ ⎪⎝⎭⎝⎭⎢⎥⎢⎥⎣⎦⎣⎦n a 1)32)(2(5--+=n n ，*N n ∈……2分（3）由（2）n a 1)32)(2(5--+=n n ，*N n ∈()()111224251523333n n n n n n a a n n --+⎡⎤⎡⎤-⎛⎫⎛⎫⎛⎫-=+--+-=⎢⎥⎢⎥ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎢⎥⎢⎥⎣⎦⎣⎦…2分于是，54321a a a a a =<<<， >>>765a a a ………2分 数列{}n a 中项的最大值为4516527a a ==+，则27165>P ,即最小的正整数p 的值为6，所以，存在最小的自然数6=p ，对一切*n N ∈都有p a n <成立.……2分23.【解】（1）由))(()((x f g x g f =得x x 2sin sin 2=化简得，0)cos 1(sin 2=-x x ，0sin =x 或1cos =x ………2分解得πk x =或πk x 2=，Z k ∈，即集合}|{πk x x M ==Z k ∈………2分 (若学生写出的答案是集合},|{Z k k x x M ∈==π的非空子集，扣1分，以示区别。
普陀区2012学年第二学期高三英语质量调研卷
普陀区2012学年第二学期高三英语质量调研卷英语试卷（本卷满分150分；完卷时间120分钟）第I卷（共105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 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.A. 12.B. 24.C. 36.D. 48.A. A shop assistant.B. A telephone operator.C. A waitress.D. A clerk.A. At a bike shop.B. In a new car showroom.C. In a parking lot.D. At a car repair shop.A. The man wants to go to Los Angeles.B. The man wants to go to San Francisco.C. There are no flights to Los Angeles for the rest of the day.D. There are two direct flights to Los Angeles within the next two hours.A. He enjoys writing home every week.B. He never fails to write a weekly letter home.C. He doesn’t write home once a week now.D. He has been asked to write home every week.A. The teacher postponed the meeting.B. There won’t be a test this afternoon.C. The students will be attending the meeting.D. The students will take a test this afternoon.A. Get some change from Jane.B. Use the woman’s phone.C. Go to look for a pay phone.D. Pay for the phone call.A. He finds the presentation hard to follow.B. He considers the presentation very dull.C. He thinks Professor White has chosen an interesting topic.D. He speaks highly of the presentation.A. She is too busy to go.B. She doesn’t want to wait long.C. She’s willing to go swimming.D. She enjoys the wonderful weather.A. People killed in traffic accidents are heavy drinkers.B. She doesn’t agree with the man.C. Drunk dr ivers are not guilty.D. People should pay more attention to the danger of drunk driving.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.A. Many foreign tourists visit the United States every year.B. Americans enjoy eating out with their friends.C. The United States is a country of immigrants.D. Americans prefer foreign foods to their own food.A. They can make friends with people from other countries.B. They can get to know people of other cultures and their lifestyles.C. They can practise speaking foreign languages there.D. They can meet with businessmen from all over the world. A. The couple cook the dishes and the children help them.B. The husband does the cooking and the wife serves as the waitress.C. The mother does the cooking while the father and children serve the guests.D. A hired cook prepares the dishes and the family members serve the guests.Questions 14 through 16 are based on the following news.A. In spring.B. In summer.C. In fall.D. In winter.A. Confusing.B. Innovative.C. Amusing.D. Wasteful.A. To standardize the 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.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.Why does the woman feel unhappy? She has just had 21 with Mr. Phillips.Why was the boss angry with the woman? Because she didn’t remember to give him 22 .Why couldn’t the woman sleep well?Because she was 23 every morning these days.Who disturbed the woman? The 24 .II. Grammar and V ocabularySection ADirections: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.The lift in that tall building went wrong and got trapped _____ floors. People in it had no way to get out.A. in B. between C. among D. on– Have you finished reading Jane Eyre?– No, I _____ my homework all day yesterday.A. was doing B. would do C. has done D. do_____ the project as planned, we’ll have to work two more hours a day.A. Completing B. Complete C. Completed D. To complete_____ you continue in your efforts and achieve new and greater successes.A. Would B. Will C. May D. ShouldThe president lost himself in his work, and not a sound _____.A. did the secretary dare to make B. dared the secretary to makeC. the secretary dared make D. the secretary did dare to makeRainforests _____ and burned at such a speed that they will disappear from the earth in the near future.A. cut B. are cut C. are being cut D. had been cutMiss Green contributed fifty dollars, but she wished she could contribute _____.A. one other fifty dollars B. the same amount alsoC. more fifty dollars D. another fiftyShe was so absorbed in the book that she had read it for three hours _____ she realized it.A. when B. until C. after D. beforeMany children have formed the habit of reading but _____ efficient notes meanwhile.A. not take B. not to take C. not to taking D. not takingThe nurses are trying their best to reduce the patient’s fear _____ he would die of the disease.A. that B. why C. what D. whichThe hours _____ the children spend in their one-way relationship with television people undoubtedly affect their relationships with real-life people.A. on which B. when C. in which D. thatMichael put up a picture of Jeremy Lin beside the bed to keep himself _____ of his own dreams.A. reminding B. to remind C. reminded D. remindIt’s not what we do once in a while _____ shapes o ur lives but what we do consistently.A. which B. when C. how D. that Kids in the new century no longer take _____ their parents impose on him for granted.A. that B. which C. what D. whether The reason why we set up “a green responsibility card” is to give a feeling of accomplishment to people _____.A. involves B. involving C. involved D. having involvedYou are saying that everyone should take equal responsibility, and that is _____ I disagree.A. why B. where C. what D. howSection 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. adaptabilityB. gainedC. longstandingD. deviceE. eventuallyF. capacityG. reassignedH. distinguishI. lostJ. remarkablyPeople blind from birth can be taught to “see” images that are conveyed as sounds, says a new study that calls into question a 41 belief about the limits of the human brain.Devices that scan visual images and re-interpret regularities as sounds were used to re-train the brains of born-blind people in a study published this week in the journal Neuron. The authors — at the Safra Center for Brain Science at Hebrew University in Israel — put people who had been blind since birth through 70 hours of training with a visual-to-auditory sensory (感官的) substitution 42 .Initially, the subjects were able to 43 among faces, houses, everyday objects, and body shapes. They were able to read letters and words, identify facial expressions and locate people’s positions 44 . In one video, a blind person is shown a picture of a woman with a ponytail and identified the hairstyle.Blind people have long used the capability to use another sensory ability to make up for blindness: Braille and blind walking canes allow people without sight to read and navigate. But when the authors of the current study put subjects in a brain scanner, they 45 insight into the process by which training with a sensory substitution device allowed the mind’s eye to “see”.The human brain is a 46 efficient and adaptable organ: when a sensory perception such as sight is lost, the specialized regions of the brain in which input from the eyes is processed are 47 to other duties.But scientists have long believed that the brain’s 48 is limited by early conditions: when a person is born blind, the capacity of the brain’s visual cortex (大脑皮层) to process sight never develops, scientists have believed. With that 49 opportunity, a window is closed, and even if eyesight were to be restored, the visual cortex, they believed, would forever remain “blind” to images.III. Reading ComprehensionSection ADirections: For each blank in the following passages there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.A. takeB. reduceC. increaseD. faceA. profitsB. advicesC. benefitsD. promotionsA. milkB. waterC. cokeD. coffeeA. based onB. fond ofC. different fromD. qualified forA. causeB. endureC. easeD. relieveA. warnB. compareC. cureD. treatA. unpleasantB. modestC. significantD. positiveA. tendencyB. intentionC. intensityD. extensionA. on the contraryB. as a resultC. for instanceD. in one wordA. turned upB. took upC. put upD. gave upA. satisfactionB. uncertaintiesC. consequencesD. qualificationsA. MoreoverB. HoweverC. OtherwiseD. NeverthelessA. contemporaryB. similarC. differentD. initialA. realizeB. attachC. demonstrateD. weakenA. unlikelyB. sensibleC. jealousD. miserableSection 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)I believe that memory is never lost, even when it seems to be, because it has more to do with the heart than the mind.At the same time my 44-year-old husband, Ed, was losing his life, my mother was losing her ability to remember. She forgot how to start the car, whether or not she had eaten and which family members had died — including my father.I became afraid that one day I, too, would be unable to recall my husband, not because of Alzh eimer’s (早老性痴呆), but simply because my memory of him might disappear. So from the day of Ed’s diagnosis (诊断) until his death a year later, I set out to memorize him. I’d always be able to recite his qualities — kind, gentle, smart, funny — but I wanted to be able to think about the physical man in my mind as fully as possible when he was gone.Later I learnt that memory has a will of its own. You can’t control it any more than you can influence the weather. When it springs up, a person loved and lost is found, even just for a few seconds.Recently, when I was driving, I had a deep and sudden sense of Ed, and the way it felt to have him next to me in the car. My body softened as it used to when we were together seven years ago, living a shared life. I wasn’t remembering his face or the way he walked; the careful details I had stored had nothing to do with this moment in the car. And my mom’s brain couldn’tlabel my father correctly, but that was not important. It was clear to me that her husband was vivid in her heart, a memory even Alzheimer’s could not destroy.I believe there is a difference between memory and remembering. Remembering has something to do with turning the oven off before leaving the house, but memory is nurtured by emotion. It springs from a deeper well, safe from the passage of time.Ed is _____.A. the author’s mother B. the author’s fatherC. the author’s husband D. a physical manMemory has its own will so _____.A. the weather can’t control our memory B. it may happen anytime and anywhereC. it can spring up for a few seconds D. it is safe from a passage of timeWhich of the following statements is TRUE according to the passage?A. Alzeimer’s is not very harmful to human beings.B. A physical man must be kind, gentle, smart, funny.C. Mem ory has much to do with the deep emotion in one’s heart.D. Good memory begins with turning the oven off before leaving.What is the best title of the passage?A. Memory —the deeper well from our heartB. Differences between memory and rememberingC. Alzheim er’s can never destroy our memoryD. Memory — the passage of timeThe letter is probably from _____.A. Supervisor Management Unit B. Thames Valley PoliceC. Criminal Justice System D. Crime Reduction CommitteeMs. Adamczak is _____.A. a victim in a crime B. a famous crime-news reporterC. a professional policeman D. a detective in clearing up crimesWhat does the word “leads” most probably mean?A. Clue.B. Darkness. C. Investigation. D. Contact.(C)The infant who begins to smile or laugh early will _____.A. have more advantages of development in growth and healthB. suffer from schizophrenic psychosis and even die in later lifeC. become a more subtle laughter when he or she grows upD. be more likely to take a whole life to perfect smiling and laughingThe expression “the first” in Paragraph 2 refers to _____.A. a leading factor B. recalling evening activitiesC. mastery over anxieties D. learning to laughWhich of the following statements can be inferred from the passage?A. The more you laugh and smile, the more likely you will be to succeed.B. Smile and laugh show your ability to overpower weakness and anxieties.C. Mastering social relationships means having a sense of humor.D. Scientists are more likely to go into laughing with no apparent reason.What is the best title of the passage?A. Beyond Laughter — A new book with fruitful findingsB. Smiling — A new mastery over anxietiesC. An important sign of confidence and successD. The function and meanings of smilingSection CDirections: Read the following text and choose the most suitable heading from the list A-F for each paragraph. There is one extra heading which you do not need.Is it ever too late to make changes?What’s one change you’d most like to see in your patients?What do you think your patients know about heart health surgery?Can you talk about some surprising risk factors for heart disease?Can you list the ill effects of smoking among common people?What are the biggest mistakes that people make about their heart health?77.We have a whole list of what we describe as “emerging” risk factors. Scientific evidence links them to the development of heart disease, although the strength of the evidence is not as solid as the evidence for the links between heart disease and high blood pressure or smoking.78.Not all doctors and hospitals are the same. Your health is too important not to do some research. Most people spend more time researching a new car than they do a heart surgeon. Ask questions. Get second opinions. Make sure that you get the best for your health. And don’t be worried about offending a doctor by going elsewhere for a second opinion. All of these are what you should be clear about.79.Too many patients wrongly believe in the claims for diets and dietary supplements. We have had many patients stop treatments because they have been convinced that a particular diet will reverse their heart disease. Improving heart health by taking dietary supplements is a totally national rumor.80.Exercise. Too many pat ients stay at home and sit before computer desks. We’d like to see everybody make the time to exercise for 30 minutes a day. It’s simple. Find a friend and go for a walk. You can even split it up into 10- or 15-minute increments. Maybe, it’s a new begin fo r some patients.Section DDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)The purpose of Berland and Schoen’s research is to __________.What is the leading factor that helps individuals to be successful according to Berland and Schoen?How will a Natural-Born Leader feel when he is told to finish some challenging tasks?Berland and Schoen have studied Independent Seekers in the two aspects: __________.第II卷（共45分）I. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.我们昨晚没有回家作业。
普陀区2012学年高考模拟-物理批注版
2012学年度普陀区第二学期高三质量调研物理卷2013.4.24本试卷分第I卷和第II卷两部分，满分150分。
考试时间120分钟。
本试卷g取10m/s2，sin37°＝0.6，cos37°＝0.8，光速c ＝ 3.0×108m/s，普朗克常数h＝6.63×10-34 J·s , 标准状况下气体的摩尔体积V mol ＝22.4L/mol阿伏伽德罗常数N A ＝6.02×1023/mol第I卷（共56分）一．单项选择题（共16分，每小題2分，每小题只有一个正确选项）1．下列物理量的负号表示方向的是（）（A）气体的温度t＝－10℃（B）物体的位移s＝－8m（C）物体的重力势能E p＝－50J（D）阻力做功为W＝－10J2．α粒子轰击94Be得到126C，同时释放出一种粒子，以下说法正确的是（）（A）它来自于原子核（B）它是一种带正电的粒子（C）它在电场中受电场力的作用（D）它是一种频率很高的光子3．如图所示，用细线将一块玻璃板水平地悬挂在弹簧秤下端，并使玻璃板贴在水面上，然后缓慢提起弹簧秤，在玻璃板脱离水面的一瞬间，弹簧秤的读数与玻璃板的重力大小相比较为（）（A）相等（B）变大（C）变小（D）无法确定4．如图所示为演示薄膜干涉现象的实验装置，P是附有肥皂膜的铁丝圈，S是一点燃的酒精灯。
往火焰上洒些盐后，就可以在薄膜上看到火焰的反射像。
以下说法正确的是（）（A）从左侧向右可以看到干涉条纹（B）干涉条纹是黑白相间的条纹（C）干涉条纹是水平排列的（D）干涉条纹是倾斜排列的5．在α粒子穿过金箔发生大角度散射的过程中，以下说法正确的是（）（A）α粒子一直受到金原子核的斥力作用（B）α粒子的动能不断减小（C）α粒子的电势能不断增加（D）α粒子发生散射，是与电子碰撞的结果6．在建铁路时，要根据弯道半径和行驶速度，适当选择内外轨的高度差，若火车按规定的速率转弯时，内外轨与车轮之间均没有侧压力。
上海市普陀区高三语文二模答案学习资料
2012年上海市普陀区高三语文二模答案参考答案及评分标准阅读（80分）一、（16分）1. D（2分）2.古人对“世界末日”的神话预言以及对某些自然现象因不了解而产生的恐惧。
（2分）3.科学发现地球可能会遭致灾难；新的技术发展可能给人类带来的威胁；科学打破了哲学和宗教给人的安慰。
（3分）4. C（2分）5.现代人对世界更敏感的危险感；现代生活给人带来的“崩溃感”；年轻一代对未来的焦虑；人类本身具有的灾难意识。
（3分，写出一点给1分）6.文章最后一段划线句实际是要指出，关于“末日”的探讨不应只停留在对末日的恐惧，而是要用“末日”的忧患来启示今天，让我们反省和警觉。
以电影《2012》的结尾为例：面对灾难，来自不同国家的人们做出了最重要的抉择：“所有人都是平等的，都有平等的生存机会！”最后，拥挤的方舟打开了舱门，接纳了杰克一家和另外的一些求生者。
（4分，评分要点：对文中划线句的阐释2分，例子内容和分析2分。
至于例子出于什么作品则不必苛求。
）二、（22分）7.我用黑土自由地创造物品；黑土地给我滋养，铸成我的优秀品质。
（2分）8.形象地表现出黑土地激荡着作者的情感，给予作者生命的滋养；突出作者对于黑土地浓烈的爱。
（3分）9.B（2分）10.贬词褒用，突出作者对黑土地执着专一的热爱。
（3分）11.B、C（4分）12.“土性”是指从黑土地中汲取滋养并逐步形成的坚韧、豪迈、博大的精神品质。
（3分）13.本文截取黑土地典型的自然景物和历史景象，通过对黑土地博大而富有生命力的环境和昂扬不屈的生活、历史画面的联想想象，融入深沉而浓烈的情感，鲜明地表达出作者对故乡炽热的挚爱、自豪之情。
文章的抒情方式较为直接，句式整散结合，叹词的运用强化了情感的抒发，排比、反复等修辞手法更是增强了语势。
（5分）三、（6分）14.（1）君子去仁（2）万钟于我何加焉（3）云青青兮欲雨（4）亦使后人而复哀后人也（5）关河冷落，残照当楼（6）落花水香茅舍晚（7）与日月齐光（8）苟利国家生死以四、（7分）15.B（1分） 16.C（2分）17.这首词情随景生，借景抒情。
普陀高三生物二模试卷
2012学年度第二学期普陀区高三质量调研生命科学试卷 2013.4 说明：1、本试卷考试时间120分钟，满分150分；2、请将所有答案写在答题纸上，且答案不能写到答题纸相应题号的边框外。
一、选择题(共60分)1.下列各项生物进化观点中，不是达尔文提出的是（）A. 种群是生物进化的基本单位B.生存斗争是生物进化的动力C. 有利变异可通过遗传与自然选择逐步积累D.自然选择决定生物进化的方向2.细胞是生物体结构功能的基本单位。
a~d为四个细胞模式图（ｄ为蓝藻），对下图有关叙述正确的是（）A．能进行光合作用的细胞只有细胞aB．作为合成蛋白质场所的结构只分布在细胞a、b、d图代表的生物C．a、b的细胞中含有线粒体、高尔基体等细胞器，而c、d的细胞只含有核糖体D．c和d细胞中的基因传递遵循基因的自由组合定律，但不遵循基因的分离定律3.细胞内很多化学反应都是在生物膜上进行，关于下图的叙述中，错误的是（）A．内质网膜上能发生① B．高尔基体膜上能发生②C．叶绿体类囊体腔内能发生③ D．叶绿体类囊体腔内能发生④4.科学家通过实验分别研究了pH对酶A和酶B所催化的反应速率的影响，获得下图所示结果。
下列有关叙述错误的是（）A．酶A与酶B催化活性的最适pH不同B．酶B的催化效率高于酶AC．人体内酶B不可能在的胃液发挥作用D．人体内酶A与酶B在不同部位发挥作用5．下列关于血型的叙述正确的是（）①A型血的红细胞膜上含有抗A凝集素，血清中含有B凝集原②能使A 型血的红细胞凝集的血液一定不是AB 型③RH 阴性血的红细胞膜不含D 凝集原，血清中则含有抗D 凝集素④RH 阴性血中含有抗D 凝集素是由供血者血液中红细胞膜上的D 凝集原作用的结果A ．①③B ．①④C ．②④D ．②③④6.在一定浓度的CO 2和适当的温度条件下，测定A 植物和B 植物在不同光照条件下的光合速率，结果如下表。
据表中数据回答问题，当光照强度为3千勒克司时，A 植物固定的CO 2量与BA ．16． 5B ．11C ．4D ．1．5 7．用燕麦胚芽鞘进行如下图所示的实验(→表示单侧光的方向)，经过一段时间后，会引起弯曲现象的是（ ）A ．①②⑤B ．①②③⑤C ．①③④⑤D ．②⑤ 8.右图表示生长素浓度对植物生长发育的影响。
2012学年第一学期普陀区高三数学质量调研卷
2012学年第一学期普陀区高三数学质量调研卷1.答卷前，考生务必在答题纸上将姓名、考试号填写清楚，并在规定的区域贴上条形码.2.本试卷共有23道题，满分150分.考试时间120分钟.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. 不等式1|2|≤-x 的解为.2. 函数x x y 2cos 2sin +=的最小正周期=T .3. 若集合}156|{>+=x x A ，集合1{-=B ,0,1,2,}3，则A B =. 4.【理科】如图，正方体1111D C B A ABCD -中，直线1BD 与平面11B BCC 所成的角的大小为（结果用反三角函数值表示）.5.【理科】若函数3()log f x a x =-的图像经过点)1,1(，则=--)8(1f.6. 若等差数列}{n a 的前n 项和为n S ，1442=+a a ，770S =，则数列}{n a 的通项公式 为.7. 在一个袋内装有同样大小、质地的五个球，编号分别为1、2、3、4、5，若从袋中任意 取两个，则编号的和是奇数的概率为（结果用最简分数表示）.8. 在2101(2)x x+的二项展开式中，常数项等于. 9. 若函数)2sin()(ϕ+=x A x f （0>A ,22πϕπ<<-）的部分图像如右图，则=)0(f .10. 在ABC △中，若2AB AC ⋅=,7-=⋅BC AB ，则=AB .11. 【理科】若函数()f x 满足)9(2)10(+=+x f x f ，且1)0(=f ，则=-)10(f _.12. 【理科】若)0,3(-C 、)0,3(D ，M 是椭圆2214x y +=上的动点，则11MC MD + 的最小值为.（第4题图）（第9题图）yO3π213. 三棱锥S ABC -中，E 、F 、G 、H 分别为SA 、AC 、BC 、SB 的中点，则截面EFGH将三棱锥S ABC -分成两部分的体积之比为.14. 已知函数⎪⎩⎪⎨⎧≥-<≤+=1,21210,1)(x x x x f x ，设0a b >≥，若)()(b f a f =，则)(a f b ⋅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. 已知函数=y )(x f (R x ∈)，则“)2()1(f f <”是“函数=y )(x f 在R 上是增函数”的…………………………………………………………………………………………（ ） （A ）充分非必要条件. （B ）必要非充分条件. （C ）充要条件. （D ）非充分非必要条件.16. 【理科】双曲线22221x y a b λλ+=--（22b a >>λ）的焦点坐标为……………………（） （A ）)0,(22b a +±. （B ）)0,(22b a -±. （C ）)0,2(22λ-+±b a . （D ）),0(22b a +±.17. 已知0>a ,0>b ,若11lim 5n n n nn a b a b ++→∞-=-，则b a +的值不可能．．．是…………………（） （A ）7. （B ）8. （C ）9. （D ）10.18. 如图,四边形ABCD 是正方形，延长CD 至E ，使得CD DE =.若动点P 从点A 出发，沿正方形的边按逆时针方向运动一周回到A 点，其中AP AB AE λμ=+，下列判断正确．．的是…………………………………………………………………………………（ ） （A ）满足λμ+2=的点P 必为BC 的中点. （B ）满足1λμ+=的点P 有且只有一个. （C ）λμ+的最大值为3. （D ）λμ+的最小值不存在.P（第18题图）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12分）本大题共有2小题，第1小题满分6分，第2小题满分6分.如图，某种水箱用的“浮球”，是由两个半球和一个圆柱筒组成. 已知球的直径是6cm ，圆柱筒长2cm .（1）这种“浮球”的体积是多少3cm （结果精确到0.1）？ （2）要在这样2500个“浮球”表面涂一层胶质，如果每平方米需要涂胶100克，共需胶多少？20. （本题满分14分）本大题共有2小题，第1小题满分6分，第2小题满分8分.已知动点),(y x A 到点)0,2(F 和直线2-=x 的距离相等. 52、求动点A 的轨迹方程；53、记点)0,2(-K ，若AF AK 2=，求△AFK 的面积.21.（本题满分14分） 本大题共有2小题，第1小题6分，第2小题8分.已知a 、b 、c 是ABC △中A ∠、B ∠、C ∠的对边,34=a ,6=b ，31cos -=A ． （1）求c ； （2）求)42cos(π-B 的值．22.（本题满分16分） 本大题共有3小题，第1小题满分5分，第2小题满分5分 ，第3小题满分6分.【理科】在平面直角坐标系xOy 中，点n A 满足)1,0(1=OA ，且)1,1(1=+n n A A ；点n B 满足)0,3(1=OB ，且)0,)32(3(1n n n B B ⋅=+，其中*n N ∈．（1）求2OA 的坐标，并证明．．点n A 在直线1y x =+上； （2）记四边形11n n n n A B B A ++的面积为n a ，求n a 的表达式；（3）对于（2）中的n a ，是否存在最小的正整数P ，使得对任意*n N ∈都有P a n <成立？若存在，求P 的值；若不存在，请说明理由．23.（本题满分18分） 本大题共有3小题，第1小题满分4分，第2小题满分6分 ，第3小题满分8分.【理科】设函数)(x f 和)(x g 都是定义在集合M 上的函数,对于任意的x M ∈，都有xyO F K（第20题图） 2- 2（第19题图）2cm6cm))(())((x f g x g f =成立，称函数)(x f 与)(x g 在M 上互为“H 函数”.（1）函数x x f 2)(=与x x g sin )(=在M 上互为“H 函数”，求集合M ；（2）若函数xa x f =)((0a a >≠且1)与1)(+=x x g 在集合M 上互为 “H 函数”,求证：1>a ；（3）函数2)(+=x x f 与)(x g 在集合1|{->=x x M 且32-≠k x ，*N k ∈}上互为“H函数”，当10<≤x 时,)1(log )(2+=x x g ，且)(x g 在)1,1(-上是偶函数,求函数)(x g 在集合M 上的解析式.2012学年第一学期普陀区高三理科数学质量调研评分标准一、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.[1,3]2.π3.}0,1{-4.【理科】22arctan 5.93 6.32n a n =-（*N n ∈） 7.538.180 9.1- 10.3 11.【理科】1021 12.1 13.1:1 14.)2,43[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. 16. 17. 18. BBDC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.【解】（1）cm d 6=，cm R 3=，πππ362734343=⋅==R V 球3cm …………2分 2=h ，πππ18292=⨯⨯=⋅=h R V 圆柱3cm …………2分 =V 圆柱球V V +6.169541836≈=+=πππ3cm …………2分（2）πππ369442=⨯⨯==R S 球表2cm …………2分πππ122322=⨯⨯⨯==Rh S 圆柱侧2cm …………2分1个“浮球”的表面积πππ4411048101236=+=S 2m 2500个“浮球”的表面积的和ππ121048250042500=⨯=S 2m所用胶的质量为ππ120012100=⨯（克）…………2分答：这种浮球的体积约为6.1693cm ；供需胶π1200克. 20.【解】（1）由题意可知，动点A 的轨迹为抛物线，其焦点为)0,2(F ，准线为2-=x设方程为px y 22=，其中22=p，即4=p ……2分 所以动点A 的轨迹方程为x y 82=……2分（2）过A 作l AB ⊥，垂足为B ,根据抛物线定义，可得||||AF AB =……2分AF AK 2=，所以AFK ∆是等腰直角三角形………2分4||=KF …………2分 所以84421=⨯⨯=∆AFK S …………2分21.A bc c b a cos 2222-+=…………2分48=2分即01242=-+c c ，0)2)(6(=-+c c ，解得2=c …………2分（2）由031cos <-=A 得A 为钝角，所以322sin =A …………2分 在ABC △中，由正弦定理，得sin sin a bA B =则36343226sin sin =⨯=⋅=a Ab B …………2分 由于B 为锐角，则33cos =B ……2分 所以)42cos(π-B 624)32231(22)2sin 2(cos 22-=+-=+=B B ………2分 22.【理科】【解】（1）由已知条件得，(1,1)21=A A ,=21A A 2OA 1OA -,所以(1,2)2=OA ……2分(1,1)1=+n n A A ，则)1,1(1=-+n n OA OA设),(n n n y x OA =，则11=-+n n x x ，11=-+n n y y所以11)1(0-=⋅-+=n n x n ；n n y n =⋅-+=1)1(1………2分即),1(n n A n -=满足方程1y x =+，所以点n A 在直线1y x =+上.………1分 （证明n A 在直线1y x =+上也可以用数学归纳法证明.） （2）由（1）得),1(n n A n -)0,)32(3(11n n n n n OB OB B B ⋅=-=++………1分设),(n n n v u B ，则31=u ，01=v01=-+n n v v ，所以0=n vn n n u u )32(31⋅=-+， 逐差累和得，))32(1(9n n u -=，所以)0),)32(1(9(n n B -………2分设直线1y x =+与x 轴的交点()1,0P -，则n a 1)32)(2(5--+=n n ，*N n ∈……2分（3）由（2）n a 1)32)(2(5--+=n n ，*N n ∈()()111224251523333n n n n n n a a n n --+⎡⎤⎡⎤-⎛⎫⎛⎫⎛⎫-=+--+-=⎢⎥⎢⎥ ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭⎢⎥⎢⎥⎣⎦⎣⎦…2分于是，54321a a a a a =<<<， >>>765a a a ………2分 数列{}n a 中项的最大值为4516527a a ==+，则27165>P ,即最小的正整数p 的值为6，所以，存在最小的自然数6=p ，对一切*n N ∈都有p a n <成立.……2分23.【解】（1）由))(()((x f g x g f =得x x 2sin sin 2=化简得，0)cos 1(sin 2=-x x ，0sin =x 或1cos =x ………2分解得πk x =或πk x 2=，Z k ∈，即集合}|{πk x x M ==Z k ∈………2分 (若学生写出的答案是集合},|{Z k k x x M ∈==π的非空子集，扣1分，以示区别。
2012年普陀英语二模测试
2012普陀区英语二模测试（满分150分，考试时间100分钟）Part l Listening（第一部分听力）I．Listening Comprehension（听力理解）：（共30分）A．Listen and choose the right picture（根据你听到的内容，选出相应的图片）：（共6分）B. Listen to the dialogue and choose the best answer to the question you hear (根据你听到的对话和问题,选当的答案）：（共 10分）7. A)Fine B)Rainy C)Snowy D)Windy8. A) Nancy B) The man. C) Nancy's uncle. D) The man's uncle9. A) On the first floor B) On the second floorC) On the third floor D) On the fourth floor10. A) The man doesn't like the actor. B) The woman likes the story.C) The man doesn't like the story. D) The woman likes the actor.11. A) A businesswoman. B) A doctor.C) A shop assistant. D) A teacher.12. A)Fish B)Duck C)Chick D)Pork13. A) 64738895 B) 64739985 C) 64735598 D) 6473229514. A) Do shopping. B) Watch a game. C) Go to a party. D) Go to the cinema.15. A) At 9:50. B)At 9:40. C)At 9:20. D) At 9:10.16. A) Because she has fallen ill. B)Because she has got hurt.C) Because she has had an accident. D) Because her son has got hurt. C．Listen to the passage and tell whether the following statements are true or false（判断下列句子是否符合你听到的短文内容，符合的用“T”表示，不符合的用“F”表示）：（共7分）17. Mike and Dick went to a big city in Australia on business.18. Their plane arrived in the city at 9 o'clock in the morning.19. They bought a car there and drove around by themselves.20. They stopped on the way because it was too hot to drive on.21. They were happy to find a river and wanted to have a swim.22. They were told that there were no crocodiles（鳄鱼）in the river.23. They had a safe and pleasant swim in the river that day.D．Listen to the dialogue and complete the following sentences（听对话，完成下列内容。
2012届普陀区高三物理二模
2011学年度普陀区第二学期高三质量调研物理卷2012.4.本试卷分第I卷和第II卷两部分。
满分150分。
考试时间120分钟。
本试卷g取10m/s2，sin37°＝0.6，cos37°＝0.8。
第I卷(共56分)考生注意：1．答第一卷前，考生务必在答题卡上用钢笔或圆珠笔清楚填写学校、班级、姓名、学生考试编号，并用铅笔正确涂写学生考试编号。
答第二卷前，也务必将自己的学校、班级、姓名、学生考试编号等项目内容在答题纸密封线内的相应位置上填写清楚。
2．第一卷（1—20小题），由机器阅卷，答案必须全部涂写在答题卡上。
考生应将代表正确答案的小方格用2B铅笔涂黑。
注意试题题号和答题卡上的编号一一对应，不能错位。
答案需要更改时，必须将原选项用橡皮擦去，重新选择涂写，答案不能写在试卷上，写在试卷上一律不给分。
一．单项选择题（共16分，每小題2分，每小题只有一个正确选项，请将答案涂写在答题卡上。
）1．下列物理规律中不能直接通过实验进行验证的是（）（A）牛顿第一定律（B）欧姆定律（C）玻意耳定律（D）机械能守恒定律2．下面哪些技术中，没有涉及到传感器的应用（）（A）声控开关（B）工厂、电站的静电除尘（C）宾馆的自动门（D）家用电饭煲从炊饭到保温的自动切换的径迹中有一条发生了分叉，分叉后有一条细而长的径迹和一条粗而短的径迹，则（）（A）细而长的是α粒子的径迹（B）粗而短的是氧核的径迹（C）细而长的是氧核的径迹（D）粗而短的是质子的径迹4．关于电磁波，下列说法正确的是（）（A）紫外线的波长比红光的波长长（B）电磁波和机械波的传播都需要介质（C）赫兹用实验的方法证实了电磁波的存在（D）频率、波长会影响电磁波在真空中的传播速度5．近几年，在国家宏观政策调控下，我国房价上涨出现减缓趋势。
若将房价的“上涨”类比成“加速”，将房价的“下跌”类比成“减速”，据此，你认为“房价上涨出现减缓趋势”可类比成（）（A）速度增加，加速度减小（B）速度增加，加速度增大（C）速度减小，加速度增大（D）速度减小，加速度减小6．有些含有铀、钍的花岗岩等岩石会释放出放射性气体氡，而氡会发生放射性衰变，放出α、β、γ射线，下列说法正确的是（）（A）γ射线的穿透能力最强，电离能力也最强（B）发生α衰变时，生成核与原来的原子核相比，中子数减少了4（C）β衰变所释放的电子是原子核内的中子转化成质子而产生的（D）氡的半衰期为3.8天，若取4个氡原子核，经7. 6天后就一定剩下一个原子核7．我们平时从来也没有观察到从两只小灯泡发出的光在屏上产生干涉条纹，其主要原因是（）（A）两只小灯泡灯丝的发光面积太大，不能看作点光源（B）平时环境里外界杂散的光太强，干扰了对干涉条纹的观察（C）两只小灯泡的灯丝离得较远，产生的干涉条纹太密，不能分辨（D）小灯泡灯丝发出的光是大量原子被激发后随机辐射的，很难满足相干条件8．如图所示，两车厢的质量相同，其中一个车厢内有一人拉动绳子使两车厢相互靠近。
【恒心】【好卷速递】上海市普陀区2012届高三4月质量调研(二模)试题(数学理)
上海市普陀区2012年高三年级第二次质量调研 数学试卷 （理科） 2012.04说明：本试卷满分150分，考试时间120分钟。
本套试卷另附答题纸，每道题的解答必须．．写在答题纸的相应位置，本卷上任何解答都不作评分依据．．．．．．．．．．．．．．．．．．．．．．．．．。
一、填空题（本大题满分56分）本大题共有14小题，要求直接将结果填写在答题纸对应的空格中.每个空格填对得4分，填错或不填在正确的位置一律得零分. 1. 函数22()sin cos22x x f x =-的最小正周期是 .2. 二项式6)1(xx -的展开式中的常数项是 ．（请用数值作答）3. 函数1log121-=x y 的定义域是 . 4. 设1e 与2e 是两个不共线的向量，已知122AB e k e =+ ，123CB e e =+ ，122CD e e =-，则当A B D 、、三点共线时，k = .5. 已知各项均为正数的无穷等比数列{}n a中，11a =，31a =-，则此数列的各项和S = .6. 已知直线l 的方程为230x y --=，点(1,4)A 与点B 关于直线l 对称，则点B 的坐标为 .7. 如图，该框图所对应的程序运行后输出的结果S 的值为 .8. 若双曲线的渐近线方程为3y x =±，它的一个焦点的坐标为0)，则该双曲线的标准方程为 .9. 如图，需在一张纸上印上两幅大小完全相同，面积都是32cm 2的照片. 排版设计为纸上左右留空各3cm ，上下留空各2.5cm ，图间留空为1cm .照此设计，则这张纸的最小面积是 cm 2.10. 给出问题：已知A B C △满足cos cos a A b B ⋅=⋅，试判定A B C △的形状.某学生的解答如下：解：（i ）由余弦定理可得，第7题图第9题图22222222b c aa c ba b bcac+-+-⋅=⋅，⇔()()()2222222abc a b ab-=-+，⇔222c a b =+,故A B C △是直角三角形.（ii ）设A B C △外接圆半径为R .由正弦定理可得，原式等价于2sin cos 2sin cos R A A R B B =sin 2sin 2A B ⇔=A B ⇔=，故A B C △是等腰三角形.综上可知，A B C △是等腰直角三角形.请问：该学生的解答是否正确？若正确，请在下面横线中写出解题过程中主要用到的思想方法；若不正确，请在下面横线中写出你认为本题正确的结果. .11. 已知数列{}n a 是等比数列，其前n 项和为n S .若1020S =，2060S =，则3010S S = .12.2，的正六棱柱的所有顶点都在一个球面上，则此球的体积为 .13. 用红、黄、蓝三种颜色分别去涂图中标号为1,2,3,,9 的9个小正方形（如右图），需满足任意相邻（有公共边的）小正方形所涂颜色都不相同，且标号为“1、5、9”的小正方形涂相同的颜色. 则符合条件的所有涂法中，恰好满足“1、3、5、7、9”为同一颜色，“2、4、6、8”为同一颜色的概率为 .14. 设*N n ∈，n a 表示关于x 的不等式144log log (54)21n x x n -+⨯-≥-的正整数解的个数，则数列{}n a 的通项公式n a = .二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个结论是正确的，必须把正确结论的代号写在答题纸相应的空格中. 每题选对得5分，不选、选错或选出的代号超过一个（不论是否都写在空格内），或者没有填写在题号对应的空格内，一律得零分. 15. “lg ,lg ,lg x y z 成等差数列”是“2y xz =”成立的 （ ）A ．充分非必要条件；B ．必要非充分条件；C ．充要条件；D ．既非充分也非必要条件.第13题图16. 设θ是直线l 的倾斜角，且cos 0a θ=<，则θ的值为 （ ）A. arccos a π-；B. arccos a ；C. arccos a -；D. arccos a π+.17. 设全集为R ，集合22|14x M x y ⎧⎫=+=⎨⎬⎩⎭，3|01x N x x -⎧⎫=≤⎨⎬+⎩⎭，则集合2231|24x x y ⎧⎫⎪⎪⎛⎫++=⎨⎬ ⎪⎝⎭⎪⎪⎩⎭可表示为 （ ）A. M N ；B. M N ；C. R C M N ⋂；D. R M C N ⋂18. 对于平面α、β、γ和直线a 、b 、m 、n ,下列命题中真命题是（ ）A ．若,,a m a n ⊥⊥,m n αα≠≠⊂⊂，则a α⊥； B. 若//,,a b b α≠⊂则//a α； C. 若,,//,//a b a b ββαα≠≠⊂⊂，则//a β； D. 若//,,,a a b βαγβγ⋂=⋂=则//a b ．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规定的方框内写出必要的步骤. 19. （本题满分12分）已知函数()2f x kx =+，0k ≠的图像分别与x 轴、y 轴交于A 、B 两点，且22A B i j =+，函数6)(2--=x x x g . 当x 满足不等式()()f xg x >时，求函数()1()g x y f x +=的最小值.20. （本题满分12分，第1小题满分6分，第2小题满分6分）如图,已知圆锥体S O 的侧面积为15π，底面半径O A 和O B 互相垂直，且3O A =，P 是母线B S 的中点. （1）求圆锥体的体积；（2）异面直线S O 与PA 所成角的大小（结果用反三角函数表示）．21. （本大题满分14分，第1小题满分7分，第2小题满分7分）已知A B C △中，1A C =，23A B C π∠=.设B A C x ∠=，记()f x AB BC =⋅ .AB第20题图（1） 求()f x 的解析式及定义域；（2）设()6()1g x m f x =⋅+，是否存在实数m ，使函数)(x g 的值域为31,2⎛⎤ ⎥⎝⎦？若存在，求出m 的值；若不存在，请说明理由.22. （本大题满分16分，第1小题满分5分，第2小题满分5分，第3小题满分6分）已知数列{}n a 是首项为2的等比数列，且满足n n n pa a 21+=+*(N )n ∈. （1） 求常数p 的值和数列{}n a 的通项公式；（2） 若抽去数列{}n a 中的第一项、第四项、第七项、……、第23-n 项、……，余下的项按原来的顺序组成一个新的数列{}n b ，试写出数列{}n b 的通项公式；（3） 在（2）的条件下，设数列{}n b 的前n 项和为n T .是否存在正整数n ，使得1113n nT T +=？若存在，试求所有满足条件的正整数n 的值；若不存在，请说明理由.23. （本大题满分20分，第1小题满分4分，第2小题满分6分，第3小题最高分10分）设点F 是抛物线L ：22y px =(0)p >的焦点，123n P P P P 、、、、是抛物线L 上的n个不同的点（3,n ≥*N n ∈）.（1） 当2p =时，试写出抛物线L 上的三个定点1P 、2P 、3P 的坐标，从而使得 123||||||6FP FP FP ++=；（2）当3n >时，若1230n FP FP FP FP ++++=， 求证：123||||||||n FP FP FP FP np ++++=；（3） 当3n >时，某同学对（2）的逆命题，即：“若123||||||||n FP FP FP FP np ++++= ，则1230n FP FP FP FP ++++=.” 开展了研究并发现其为假命题.请你就此从以下三个研究方向中任选一个开展研究：① 试构造一个说明该逆命题确实是假命题的反例（本研究方向最高得4分）； ② 对任意给定的大于3的正整数n ，试构造该假命题反例的一般形式，并说明你的理由（本研究方向最高得8分）；③ 如果补充一个条件后能使该逆命题为真，请写出你认为需要补充的一个条件，并说明加上该条件后，能使该逆命题为真命题的理由（本研究方向最高得10分）.【评分说明】本小题若选择不止一个研究方向，则以实得分最高的一个研究方向的得分作为本小题的最终得分.2012年普陀区高三第二次质量调研数学试卷参考答案一、填空题（每小题4分，满分56分）：1. π2；2. 20-；3. （文） )1(∞+，； （理）(0,1)(12) ，； 4. 8-； 5. 2232+； 6. )2,5(； 7. 3； 8. 1922=-yx ； 9. 196；10. 等腰或直角三角形； 11. （文）6；（理）7； 12. （文）π34；（理） 29π；13. （文）108；（理）181； 14. 1*341,N n n -⋅+∈.二、选择题（每题5分，满分20分）：三、解答题（满分74分）： 19.（本题满分12分） 解：由题意知：)0,2(kA -、)2,0(B ，则)2,2()2,2(==kAB可解得：1=k ，即2)(+=x x f因为)()(x g x f >，即622-->+x x x ，解不等式得到()4,2-∈x2()15()2g x x x y f x x +--==+2(2)5(2)112522x x x x x +-++==++-++因为()4,2-∈x ，则()6,0)2(∈+x 所以35212)(1)(-≥-+++=+x x x f x g ，当且仅当212+=+x x ，即12=+x ，1-=x 时，等号成立.所以，当1-=x 时，)(1)(x f x g +的最小值为3-.xCBA20.（本题满分12分）解：（1）由题意，15O A SB ππ⋅⋅=得5B S =，故4SO ===从而体积2211341233V O A SO πππ=⋅⋅=⨯⨯=.（2）如图2，取O B 中点H ，联结PH AH 、.由P 是SB 的中点知P H SO ∥，则A P H ∠(或其补角)就是异面直线S O 与P A 所成角.由SO ⊥平面O A B ⇒PH ⊥平面O A B ⇒PH AH ⊥. 在O A H ∆中，由O A O B ⊥得2AH ==；在R t A P H ∆中，90AHP O ∠=，122P H SB ==，2AH =，则tan 4AH APH PH∠==，所以异面直线S O 与P A所成角的大小arctan4.21. （本题满分14分，其中第1小题7分，第2小题7分）解：（1）如图，在ABC ∆中，由23A B C π∠=，x BAC =∠，可得x ACB -=∠3π，又 1A C =，故由正弦定理得2sin sin()sin33ABBC AC xx ππ===-⇒)3AB x π=-、BC x =.则函数()f x AB BC =⋅ 2||||cos sin sin()333A B B C x x ==- ππ21sin sin )322x x x =-212sin 63x x =-112cos 2)66x x =+-11sin(2)366x π=+-，其中定义域为0,3x ⎛⎫∈ ⎪⎝⎭π.说明：亦可用积化和差方法化简：2111()sin sin()[coscos(2)]cos(2)33333336f x x x x x ==-=---=--ππππ.（2）()6()12sin(2)16g x m f x m x m =+=+-+π由0,3x ⎛⎫∈ ⎪⎝⎭π可得52(,)666x πππ+∈⇒)62sin(π+x ]1,21(∈.显然，0m ≠，则1O 当0>m 时，()(1,1]g x m ∈+，则)(x g 的值域为]23,1(⇔231=+m ⇔21=m ；2O 当0m <时，()[1,1)g x m ∈+，不满足)(x g 的值域为]23,1(；因而存在实数21=m ，使函数)(x g 的值域为31,2⎛⎤ ⎥⎝⎦.22. （本大题满分16分，第1小题满分5分，第二小题满分5分，第3小题满分6分）（1）解：由n n n pa a a 2,211+==+得222+=p a ，42223++=p p a ，又因为存在常数p ，使得数列{}n a 为等比数列，则3122a a a =即)422(2)22(22++=+p p p ，所以1=p .故数列{}n a 为首项是2，公比为2的等比数列，即nn a 2=.此时11222++=+=n n n n a 也满足，则所求常数p 的值为1且*2(N )n n a n =∈.（2）解：由等比数列的性质得：（i ）当*2(N )n k k =∈时，kk n a b 332==；（ii ） 当*21(N )n k k =-∈时，13132--==k k n a b ，所以312*322,21,(N )2,2,n n nn k b k n k +⎧=-⎪=∈⎨⎪=⎩. （3）（文科）解：注意到21{}n b -是首项14b =、公比8q =的等比数列，2{}n b 是首项28b =、公比8q =的等比数列，则（i ）当2n k =*(N )k ∈时，21321242()()n k k k T T b b b b b b -==+++++++4(81)8(81)8181kk--=+--2128121281277nk⋅-⋅-==；（ii ）当21n k =-*(N )k ∈时，12212212812581258128777n kkkn k k k T T T b +-⋅-⋅-⋅-==-=-==.即12*25812,217(N )12812,27n n nn k T k n k+⎧⋅-⎪=-⎪=∈⎨⎪⋅-⎪=⎩.（3）（理科）解：（续文科解答过程）假设存在正整数n 满足条件，则1111118133n n n n n nnnnT T b b b T T T T +++++==+=⇔=，则（i ）当*2,(N )n k k =∈时， 3212122288888128121281237k kkn k kknkb b T T +++⋅====⇒=⋅-⋅-1k ⇒=，即当2n =时满足条件；（ii ）当*21,(N )n k k =-∈时， 128788968581258123197kkkn k k knnb b T T +⋅====⇒=⋅-⋅-.因为*N k ∈，所以此时无满足条件的正整数n . 综上可得，当且仅当2n =时，1113n nT T +=.23. （本大题满分20分，第1小题满分4分，第2小题满分6分，第3小题最高分10分） （理）解：（1）抛物线L 的焦点为(,0)2p F ，设111222333(,)(,)(,)P x y P x y P x y 、、，分别过123P P P 、、作抛物线L 的准线l 的垂线，垂足分别为123Q Q Q 、、.由抛物线定义得123112233123||||||||||||()()()222p p pFP FP FP P Q P Q P Q x x x ++=++=+++++623321=+++=px x x因为2p =，所以3321=++x x x ， 故可取，，)2,1()2,21(21P P 3P )6,23(满足条件.（2）设111222333(,)(,)(,)(,)n n n P x y P x y P x y P x y 、、、、，分别过123n P P P P 、、、、作抛物线L 的准线l 垂线，垂足分别为123n Q Q Q Q 、、、、.由抛物线定义得 123112233||||||||||||||||n n n FP FP FP FP P Q P Q P Q P Q ++++=++++123()()()()2222n p p pp x x x x =++++++++123()2n np x x x x =+++++又因为1230n FP FP FP FP ++++=⇒123()()()()02222n p p p p x x x x -+-+-++-=⇒221np x x x n =+++ ；所以123||||||||n FP FP FP FP ++++ 123()2n np x x x x =+++++ np =.（3） ①取4=n 时，抛物线L 的焦点为(,0)2p F ，设111222333(,)(,)(,)P x y P x y P x y 、、，),(444y x P 分别过123P P P 、、4P 、作抛物线L 的准线l 垂线，垂足分别为123Q Q Q 、、4Q 、.由抛物线定义得=+++44332211Q P Q P Q P Q P +++=244321p x x x x ++++p 4=，则p x x x x 24321=+++，不妨取22,411p y p x ==；,22p x =p y =2；,23p x =p y -=3；443,42p x y ==，则=+++4321FP FP FP FP (p x x x x 24321-+++，)4321y y y y +++2⎛= ⎝⎭0≠.故1,42p P ⎛⎫⎪⎝⎭，2,2p P p ⎛⎫ ⎪⎝⎭，3,2p P p ⎛⎫- ⎪⎝⎭，4342p P ⎛ ⎝⎭是一个当4n =时，该逆命题的一个反例.(反例不唯一)② 设111222333(,)(,)(,)(,)n n n P x y P x y P x y P x y 、、、、，分别过123n P P P P 、、、、作 抛物线L 的准线l 的垂线，垂足分别为123n Q Q Q Q 、、、、，由123||||||||n FP FP FP FP np ++++=及抛物线的定义得np np x x x n =++++221 ，即221np x x x n =+++ .因为上述表达式与点111222333(,)(,)(,)(,)n n n P x y P x y P x y P x y 、、、、的纵坐标无关，所以只要将这n 点都取在x 轴的上方，则它们的纵坐标都大于零，则 =+++n FP FP FP 21(,221np x x x n -+++ )21n y y y +++(=,0)21n y y y +++ ，而021>+++n y y y ，所以021≠+++n FP FP FP .（说明：本质上只需构造满足条件且120n y y y +++≠ 的一组n 个不同的点，均为反例.） ③ 补充条件1：“点i P 的纵坐标i y （1,2,,i n = ）满足 1230n y y y y ++++= ”，即： “当3n >时，若123||||||||n FP FP FP FP np ++++=，且点i P 的纵坐标i y （1,2,,i n = ）满足1230n y y y y ++++= ，则1230n FP FP FP FP ++++=”.此命题为真.事实上，设111222333(,)(,)(,)(,)n n n P x y P x y P x y P x y 、、、、，分别过123n P P P P 、、、、作抛物线L 准线l 的垂线，垂足分别为123n Q Q Q Q 、、、、，由12||||||n FP FP FP np +++=，及抛物线的定义得np np x x x n =++++221 ，即221np x x x n =+++ ，则=+++n FP FP FP 21(,221np x x x n -+++ )21n y y y +++(=,0)21n y y y +++ ，又由1230n y y y y ++++= ，所以1230n FP FP FP FP ++++=，故命题为真.补充条件2：“点k P 与点1n k P -+(n 为偶数，*N )k ∈关于x 轴对称”，即：“当3n >时，若123||||||||n FP FP FP FP np ++++=，且点k P 与点1n k P -+(n 为偶数，*N )k ∈关于x 轴对称，则1230n FP FP FP FP ++++=”.此命题为真.（证略）23.（文）（1）解：抛物线L 焦点(1,0)F ，准线l 方程为：1-=x .由抛物线定义得11||1FP x =+ ，22||1FP x =+ ，33||1FP x =+，∴ 73||||||321321=+++=++x x x FP FP FP .（2）证明：由)0,1(F ，),1(111y x FP -=，),1(222y x FP -=，…，),1(n n n y x FP -= ， 1230n FP FP FP FP ++++=⇒0)1()1()1(21=-++-+-n x x x ，即n x x x n =+++)(21 .则12||||||n FP FP FP +++)1()1()1(21++++++=n x x xn x x x n ++++=)(21 n 2=.（3）经推广的命题：“当3n >时，若021=+++n FP FP FP ，则np FP FP FP n =+++||||||21 .” 其逆命题为：“当3n >时，若np FP FP FP n =+++||||||21 ，则021=+++n FP FP FP ”. 该逆命题为假命题.不妨构造特殊化的一个反例：设2p =，4n =，抛物线x y 42=，焦点)0,1(F .由题意知：1234||||||||8FP FP FP FP +++=；根据抛物线的定义得：8)1()1()1()1(4321=+++++++x x x x ⇒44321=+++x x x x ；不妨取四点坐标分别为)0,0(1P 、)2,1(2P 、)2,1(3-P 、)22,2(4P ，但0)22,0()22,1()2,0()2,0()0,1(4321≠=+-++-=+++FP FP FP FP ，所以逆命题是假命题.。
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2011学年度普陀区第二学期高三质量调研物理卷2012.4.本试卷分第I卷和第II卷两部分。
满分150分。
考试时间120分钟。
本试卷g取10m/s2，sin37°＝0.6，cos37°＝0.8。
第I卷(共56分)考生注意：1．答第一卷前，考生务必在答题卡上用钢笔或圆珠笔清楚填写学校、班级、姓名、学生考试编号，并用铅笔正确涂写学生考试编号。
答第二卷前，也务必将自己的学校、班级、姓名、学生考试编号等项目内容在答题纸密封线内的相应位置上填写清楚。
2．第一卷（1—20小题），由机器阅卷，答案必须全部涂写在答题卡上。
考生应将代表正确答案的小方格用2B铅笔涂黑。
注意试题题号和答题卡上的编号一一对应，不能错位。
答案需要更改时，必须将原选项用橡皮擦去，重新选择涂写，答案不能写在试卷上，写在试卷上一律不给分。
一．单项选择题（共16分，每小題2分，每小题只有一个正确选项，请将答案涂写在答题卡上。
）1．下列物理规律中不能直接通过实验进行验证的是（）（A）牛顿第一定律（B）欧姆定律（C）玻意耳定律（D）机械能守恒定律2．下面哪些技术中，没有涉及到传感器的应用（）（A）声控开关（B）工厂、电站的静电除尘（C）宾馆的自动门（D）家用电饭煲从炊饭到保温的自动切换的径迹中有一条发生了分叉，分叉后有一条细而长的径迹和一条粗而短的径迹，则（）（A）细而长的是α粒子的径迹（B）粗而短的是氧核的径迹（C）细而长的是氧核的径迹（D）粗而短的是质子的径迹4．关于电磁波，下列说法正确的是（）（A）紫外线的波长比红光的波长长（B）电磁波和机械波的传播都需要介质（C）赫兹用实验的方法证实了电磁波的存在（D）频率、波长会影响电磁波在真空中的传播速度5．近几年，在国家宏观政策调控下，我国房价上涨出现减缓趋势。
若将房价的“上涨”类比成“加速”，将房价的“下跌”类比成“减速”，据此，你认为“房价上涨出现减缓趋势”可类比成（）（A）速度增加，加速度减小（B）速度增加，加速度增大（C）速度减小，加速度增大（D）速度减小，加速度减小6．有些含有铀、钍的花岗岩等岩石会释放出放射性气体氡，而氡会发生放射性衰变，放出α、β、γ射线，下列说法正确的是（）（A）γ射线的穿透能力最强，电离能力也最强（B）发生α衰变时，生成核与原来的原子核相比，中子数减少了4（C）β衰变所释放的电子是原子核内的中子转化成质子而产生的（D）氡的半衰期为3.8天，若取4个氡原子核，经7. 6天后就一定剩下一个原子核7．我们平时从来也没有观察到从两只小灯泡发出的光在屏上产生干涉条纹，其主要原因是（）（A）两只小灯泡灯丝的发光面积太大，不能看作点光源（B）平时环境里外界杂散的光太强，干扰了对干涉条纹的观察（C）两只小灯泡的灯丝离得较远，产生的干涉条纹太密，不能分辨（D）小灯泡灯丝发出的光是大量原子被激发后随机辐射的，很难满足相干条件8．如图所示，两车厢的质量相同，其中一个车厢内有一人拉动绳子使两车厢相互靠近。
若不计绳子质量及车厢与轨道间的摩擦，下列对于哪个车厢里有人的判断正确的是（）（A）绳子的拉力较大的那一端车厢里有人（B）先开始运动的车厢里有人（C）后到达两车中点的车厢里有人（D）不去称量质量无法确定哪个车厢有人二．单项选择题（共24分，每小题3分，每小题只有一个正确选项，请将答案涂写在答题卡上。
）9．如图所示为一种交通工具的示意图，乘客的座椅能随着坡度的变化而自动调整，从而使座椅始终保持水平。
当此车减速上坡时，下列说法正确的是A．乘客所受合外力做正功 B．乘客处于失重状态C．乘客受到水平向右的摩擦力 D．乘客所受的合力沿斜面向上10. 在杂技表演中，猴子沿竖直杆向上做初速度为零、加速度为a的匀加速运动，同时人顶着直杆以速度v水平匀速移动，经过时间t，猴子沿杆向上移动的高度为h，人顶杆沿水平地面移动的距离为x，如图所示。
关于猴子的运动情况，下列说法中正确的是A．相对地面的运动轨迹为直线B．相对地面做变加速曲线运动+atC．t时刻猴子对地的速度大小为vD．t时间内猴子对地的位移大小为22hx11. 如图所示, 带有活塞的气缸中封闭着一定质量的理想气体, 气缸和活塞具有良好的绝热性能，将一个阻值随温度的升高而减小的热敏电阻置于气缸中，并与气缸外的欧姆表连接。
气缸固定不动, 气缸内的活塞可自由移动且不漏气。
活塞下挂一沙桶，沙桶装满沙子时活塞恰好静止。
现将沙桶底部钻一小洞, 细沙缓缓漏出。
若发现欧姆表的指针逐渐向右偏转，则下列说法正确的是A. 热敏电阻的阻值变大B. 活塞逐渐下降C. 气体的压强增大D. 气体的内能减小12．如图所示，A 为水平放置的胶木圆盘，在其侧面均匀分布着负电荷，在A 的正上方用绝缘丝线悬挂一个金属圆环B ，使B 的环面水平且与圆盘面平行，其轴线与胶木盘A 的轴线OO ′重合。
现使胶木盘A 由静止开始绕其轴线OO ′按箭头所示方向加速转动，则A ．金属环B 的面积有扩大的趋势，丝线受到的拉力增大 B ．金属环B 的面积有缩小的趋势，丝线受到的拉力减小C ．金属环B 的面积有扩大的趋势，丝线受到的拉力减小D ．金属环B 的面积有缩小的趋势，丝线受到的拉力增大13. 如图所示，甲分子固定在坐标原点O ，只在两分子间的作用力作用下，乙分子沿x 轴方向运动，两分子间的分子势能E P 与两分子间距离x 的变化关系如图所示，设分子间在移动过程中所具有的总能量为0。
则A ．乙分子在P 点时加速度最大B ．乙分子在Q 点时分子势能最小C ．乙分子在Q 点时处于平衡状态D ．乙分子在P 点时分子动能最大14．如图所示，两个完全相同的小球A 、B ，在同一高度处以相同大小的初速度v 0分别水平抛出和竖直向上抛出，下列说法正确的是 A ．两小球落地时的速度相同B ．两小球落地时，重力的瞬时功率相同C ．从开始运动至落地，重力对两小球做功相同D ．从开始运动至落地，重力对两小球做功的平均功率相同15．如图所示，两个相连接的金属环用同样规格的导线制成，大环半径是小环半径的4倍，若穿过大环的磁场不变，穿过小环中磁感应强度随时间的变化率为k 时，其路端电压为U ；若穿过小环中磁场不变，而穿过大环中磁感应强度随时间的变化率为2k 时，其路端电压为 A ．U B ．2U C. 4 U D. 8U16．在光滑的水平面内有一沿x 轴的静电场，其电势Ф随x 坐标值的变化图线如图所示。
一质量为m ，带电量为q 的带正电小球（可视为质点）从O 点以初速度v 0沿x 轴正向移动。
下列叙述正确的是A ．小球从O 运动到x 1的过程中，所受电场力逐渐增大B ．小球从x 1运动到x 3的过程中，电势能先减小后增大C ．若小球能运动到x 4处，则初速度v 0至少为2mq 0φD ．若v 0为2mq 0φ，带电粒子在运动过程中的最大速度为mq 06φ三．多项选择题（共16分，每小题4分，每小题有二个或三个正确选项，全选对的，得4 分，选对但不全的，得2分，有选错或不答的，得0分，请将答案涂写在答题卡上。
）17．如图所示的逻辑电路，要使输出端Y 为1，则输入端A 、B 的取值可以是 A. A=0， B=0B. A=0， B=1C. A=1， B=0D. A=1， B=118. 为了探究气体压强的产生及影响气体压强的因素，某同学用电子秤和小玻璃珠做模拟实验，如图所示。
下列关于他的操作和相关结论正确的是A. 为了防止玻璃珠弹出秤盘而产生误差，可在秤盘上放一块海绵垫B. 实验中尽可能保证每一粒玻璃珠与秤盘碰前的速度相同C. 将尽可能多的玻璃珠源源不断地倒在秤盘上，秤的示数会相对稳定在某一个值，说明气体压强是由大量的气体分子与器壁碰撞产生的D. 将相同数量的珠子从更高的位置倒在秤盘上，秤的示数变大，说明气体的压强与分子碰撞器壁的速度有关19．如图所示，绝缘弹簧的下端固定在斜面底端，弹簧与斜面平行，带电小球Q（可视为质点）固定在光滑绝缘斜面上的M点，且在通过弹簧中心的直线ab上。
现把与Q大小相同，电性相同的小球P，从直线ab上的N点由静止释放，在小球P与弹簧接触到速度变为零的过程中，以下说法正确的是A．小球P、小球Q、弹簧、还有地球组成系统的机械能不守恒B．小球P和弹簧的机械能守恒，且P速度最大时所受弹力与库仑力的合力最大C．小球P的动能、与地球间重力势能、与小球Q间电势能和弹簧弹性势能的总和不变D．小球P的速度先增大后减小20．如图所示，一小车上有一个固定的水平横杆，左边有一轻杆与竖直方向成θ角与横杆固定，下端连接一小铁球，横杆右边用一根细线吊一小铁球，当小车向右做加速运动时，细线保持与竖直方向成α角，若θ＜α，则下列说法正确的是A．轻杆对小球的弹力方向与细线平行B．轻杆对小球的弹力方向沿着轻杆方向向上C．轻杆对小球的弹力方向既不与细线平行，也不沿着轻杆方向D．此时小车的加速度为g tanα第Ⅱ卷(共94分)考生注意：1．第II卷(21-33题)由人工阅卷。
考生应用蓝色或黑色的钢笔或圆珠笔将第II卷所有试题的答案写在试卷上，用铅笔答题或将答案涂写在答题卡上一律不给分(作图可用铅笔)。
2．第30、31、32、33题要求写出必要的文字说明、方程式和重要的演算步骤。
只写出最后答案，而未写出主要演算过程的，不能得分。
有关物理量的数值计算问题，答案中必须明确写出数值和单位。
四．填空题( 共20分，每小题4分。
答案写在题中横线上的空白处或指定位置。
) 本大题中第22题为分叉题，分A、B两类，考生可任选一类答题。
若两类试题均做，一律按A类题计分。
21. 如图所示是一列向右传播的横波，波速为0.4m/s，M点的横坐标x=10m，图示时刻波传到N点。
现从图示时刻开始计时，经过 s时间，M点第二次到达波谷；这段时间里，N点经过的路程为 cm。
22A、22B选做一题═══════════════════════════════════════════════════════22A．质量为m的物体做平抛运动，在任意相等的时间t内，物体动量的变化量为，方向为。
（已知重力加速度为g）22B．人造地球卫星的运动轨迹可近似看做匀速圆周运动，已知它的轨道半径为R，运行周期为T，万有引力恒量为G，则它的线速度大小为，地球的质量可表示。
═══════════════════════════════════════════════════════23．如图所示，圆形玻璃平板半径为r，离水平地面的高度为h，一质量为m的小木块放置在玻璃板的边缘，随玻璃板一起绕圆心O在水平面内做匀速圆周运动。
若匀速圆周运动的周期为T，木块所受摩擦力的大小为，缓慢增大玻璃板的转速，最后木块沿玻璃板边缘的切线方向水平飞出，落地点与通过圆心O的竖直线间的距离为s，不计空气阻力，重力加速度为g，木块落地前瞬间的动能为。