上海市四区联考(静杨青宝)2013届高三政治二模试卷(含答案)

2013年高三二模政治参考答案38.答（1）①有利于弥补国内资源的不足，保障国内经济高速发展的资源供给。

（3分）②有利于走出国门，开拓海外市场。

（3分）③有利于推动国内过剩产能向外转移，促进国内产业结构调整优化。

（2分）④有利于提升企业的国际竞争力。

（2分）提升企业在境外投资中的社会责任意识，树立良好的信誉和公众形象。

（2分）培养国际化经营管理人才，制订正确的经营发展战略。

（2分）（2）①积极履行政府保护企业和个人合法财产、保护公民生命安全和合法权益的职能。

建立对外投资合作、境外风险提示制度，监测境外风险，及时向企业发布。

（4分）②加强政府组织经济建设的职能，认真履行经济调节和公共服务的职能，发布指导性文件，指导企业规避投资风险。

（4分）③建设服务型政府，积极发展对外关系，通过签订双边或多边投资保护协定，为我国海外投资提供良好的环境。

（4分）39.（1）①坚持了在继承基础上的发展。

达拉特人紧紧抓住纯正深厚的文化底蕴，重振马产业，弘扬马文化（3分）②达拉特人积极组建马术协会、培育驯马基地，重振马产业，坚持在实践基础上推动马文化的发展。

（3分）③达拉特人通过组织国际马文化节，加大国际交流，面向世界，博采众长，推动马文化的发展。

（3分）④人民群众是文化创造的主体，达拉特人坚持社会参与、全民共享，促进马文化的发展。

（3分）（2）①事物的发展是内外因共同作用的结果，达拉特人坚持了内因与外因的辩证统一，既抓住国家政策支持的大好机遇，又将马文化产业作为新的经济发展引擎来培育发展。

（3分）②达拉特“跳出马文化看文化、跳出马产业看产业”，坚持了矛盾普遍性与特殊性的统一，推动了地方经济的发展。

（4分）③坚持了系统优化的方法，从整体出发，把各部分、要素结合起来优化组织，充分发挥了马文化产业的功效，用马文化的发展推动整体地方经济的发展。

（4分）（如从普遍联系的观点回答亦可）④坚持了重点论，抓住了马文化产业这一主导元素。

静安区2012学年第二学期高三教学质量检测生命科学试卷2013.4第I卷 (共60分)选择题（每题均只有一个正确答案；每题2分）1.用含放射性15N的硝酸盐给植物施肥，一段时间后，15N可能出现在（）①纤维素②ATP ③脂肪酶④蔗糖A.①③B.②④C.①④D.②③2．下列有关人体血压的升降叙述，正确的是( )A．副交感神经兴奋可使血压升高 B．肾上腺素量增加可使血压下降C．心输出量增多主要升高舒张压 D．血液粘度增加主要升高舒张压3．下列事实能体现细胞全能性的是( )A．诱导小鼠干细胞分化多种组织细胞 B．棉花根尖细胞经诱导形成幼苗C．动物杂交瘤细胞产生单克隆抗体 D．单细胞的DNA在体外大量扩增4．下列关于RNA的叙述，正确的是( )A. 能催化细胞内某些化学反应B. 能改变真核生物的遗传信息C. 能储存细菌大量的遗传信息D. 能携带氨基酸进入细胞核5. 培育能保持亲本高甜度的甜菜苗所采用的主要技术是( )A．组织培养 B．细胞杂交C.显微注射D. 核移植6. 下列关于生长素的叙述，错误．．的是( )A.生长素是最早发现的植物激素B.生长素的分布可受环境影响C.生长素极性运输需要消耗能量D.生长素的合成需要光照条件7. 运动员剧烈运动并大量出汗时，机体通过调节维持内环境相对稳定，其中主要是（）①抗利尿激素分泌增加②抗利尿激素分泌减少③胰岛A细胞的分泌活动增强④胰岛B细胞的分泌活动增强A.①②B. ③④C. ①③D.②④8. 右图为细胞周期中某细胞示意图，此时发生在有丝分裂的（）A．前期 B．中期 C．后期 D．末期9. 右下图表示人体皮下的组织，A、B、C表示细胞外液。

下列叙述错误．．A．结构1的管壁细胞生活的内环境为B和C B．细胞代谢产生酸性物质后，A的pH仍将保持相对稳定C．C的渗透压升高时，下丘脑抗利尿激素分泌将会减少D. 长期蛋白质营养不足会导致A渗透压降低，引起组织水肿10．果树某段树皮环割一圈，环割以下的侧芽生长发育情况是（）A. 最近处侧芽迅速发育成枝 B ．最近处的侧芽停止生长发育 C ．越远的侧芽生长发育越快 D ．所有侧芽的生长发育不改变 11. 在一个大型平底烧瓶湿润的泥沙中插上几枝新鲜的枝条和一支盛有适量NaOH 溶液的试管，烧瓶口紧包一个气球，使烧瓶悬浮在玻璃缸中某一位置（如右图）。

上海市奉贤区2013年高考二模政治试题参考答案一、单选题（90分）31．（1）以人为本，执政为民（各1分，共2分）(2)哲学依据：是世界是永恒变化发展的世界，（1分）要求我们要正确认识事物、分析问题，把事物的发展作为过程加以考察，使我们的思想符合变化着的客观实际，适应形势的发展；（1分）弄清事物在其发展过程中所处的阶段和地位，通过分析研究其历史和现状，审时度势为事物发展创造必要条件。

（1分）32．（1）西方发达国家在工业化过程中对金属矿产资源的需求不断增加。

（1分）现阶段，逐步超越“高投入、高消耗、高污染”的发展模式。

（1分）我国在高速实现工业化过程中对资源的需求逐渐超过了西方发达国家，对资源的依赖程度不断加深。

（1分）自然资源是社会生产不可或缺的自然要素，具有不可再生性。

（1分）我国在迅速实现工业化的过程中，经济发展方式仍然主要是粗放型的发展方式。

（1分）（2）①科技创新：科技创新有利于促进生产技术的进步，节约了资源和原材料的消耗，使有限的自然资源得到更合理的利用；也促进生产和生态环境的平衡协调，实现清洁生产，使经济可持续发展，有助我国工业化进程一定程度上摆脱资源的约束。

（2分）②政府调控：政府加强宏观调控，运用规划手段合理布局生产力，加强对建设开发和循环利用资源、促进产业结构升级的重大项目的支持力度；对技术创新和节约资源的产业和企业给予财政扶持、税收减免的支持，有助我国工业化进程一定程度上摆脱资源的约束。

（3分）33．（1）依法治国的科学内涵：依法治国的主体是广大人民群众；依法治国必须制度化、法律化；必须坚持党的领导（3分）（2）从“立法”的角度看：中国共产党是执政党，是中国特色社会主义事业领导核心，必须加强对国家与社会的政治领导，通过提出更多立法建议，领导人民和权力机关制定出更符合人民利益的相关法律，做到有法可依，推进依法治国的制度化、法律化；中国共产党是工人阶级、中国人民和中华民族的先锋队，始终代表中国最广大人民的根本利益，始终支持和领导人民当家作主，确保依法治国的主体是广大人民，贯彻落实依法治国基本方略；（2分）从“守法”的角度看：党领导人民制定法律，还必须在宪法法律规定的范围内活动，严格依法治国，依宪治国，做到有法必依，落实依法治国基本方略；党必须经过人大制度，通过权力机关，按照法定程序，才能将自己的主张上升成为国家意志，以团结凝聚和规范全体人民的共同行为，确保贯彻落实有法必依的基本要求，落实依法治国基本方略；（2分）因此，依法治国是党领导人民治理国家的基本方略，坚持党的领导是贯彻落实依法治国基本方略的根本保障，坚持党的领导与依法治国两者是一致的。

Section A25. T he start of a new year brings hope — hope _____ better health, more happinessand greater success.A. amongB. forC. overD. on26. –What is the man, actually?–I don’t know for sure. But I think he can be _____ but a policeman.A. nothingB. somethingC. everythingD. anything27. –Do you know where David is? I couldn’t find him anywhere.– Well. He _____ have gone far — his glasses are still here.A. shouldn’tB. mustn’tC. can’tD. wouldn’t28. I suppose you are unwilling to change your idea, _____?A. aren’t youB. do IC. don’t ID. are you29. A t the moment of the car accident, Jason’s life _____ in the blink of an eye.A. changesB. had changedC. was changingD. changed30. T he law says that all public buildings must be accessible to people who have trouble _____.A. walkingB. walkC. to walkD. walked31. Many students apply for a position at that company, but only a few _____.A. are being acceptedB. are acceptedC. have acceptedD. accept32. D esserts made from apples, such as pies, apple pancakes and apples _____ insugar are available for sampling.A. dippingB. dipC. dippedD. to dip33. T om’s resolution _____ up drinking alcohol lasted only two days.A. givenB. givingC. giveD. to give34. T he boy, one of the so-called rich second generation, forced his parents to buy anew car _____ it might cost.A. no matter howB. however highC. no matter how muchD. how much35. A business plan should be a strategic outline of _____ you are going to do, whyand how you are going to do it.A. whatB. whichC. howD. that36. T he teacher left word with our monitor ____ she would explain the problemagain next time.A. whoB. whichC. asD. that37. T hey will pay a visit to Europe in a couple of years _____ they have enough money.A. for fear thatB. on condition thatC. even thoughD. as well as38. E very time Gina catches her employees _____ time, she reminds them that time is money.A. to wasteB. wastingC. wastedD. waste39. N ot until 2012 _____ to a Chinese writer for the first time.A. the Nobel Prize in literature was awardedB. was awarded the Nobel Prize in literatureC. was the Nobel Prize in literature awardedD. the Nobel Prize was awarded in literature40. B rainPOP is an educational program consisting of brief animated videos _____ aman named Tim and his robot friend Moby discuss various subjects.A. in whichB. whichC. asD. in that) direct to their home, suggests a survey. The latest __41__ on superfast broadband delivered by fiber to the home (FTTH) show 18% growth over the last survey compiled in late 2008.The continued growth suggests that the __42__ economic decline has not hit plans to build fiber networks. Sweden __43__ the list of nations applying the technology, with 10.9% of its broadband customers using fiber. Karel Helsen, president of Europe’s Fiber-To-The-Home Council, said the growth matched predictions that were __44__ when the credit crisis started to make itself felt. “The numbers in 2009 are in line with the latest forecasts,” said Mr. Helsen.By 2012, the FTTH Council expects that 13 million people across 35 European nations will have their broadband delivered by fiber. Such services would start at a speed of 100 megabits per second (mbps), said Mr. Helsen. Around Europe more than 233 projects were underway to lay the fibers that would __45__ homes or buildings to the net, said Mr. Helsen. Many of those, he said, were being operated by local governments or smaller net firms. Local governments were interested in FTTH because of the economic and social __46__ it brought in its wake, said Mr. Helsen.The low delay in high-speed fiber networks made __47__ new uses of broadband, he said. “No delay is very important,” he said, “specifically if you talk about __48__ that are time-dependent such as personal communications, conference calls or video calls where delays cause a lot of trouble.” While early FTTH services were __49__ in cities, said Mr. Helsen, many more were reaching out to rural areas for e-health and e-learning projects.III. Reading ComprehensionLarge companies need a way to reach the savings of the public at large. The same problem, on a smaller__50__, faces practically every company trying to __51__ new products and create new jobs. There can be little prospect of raising the sort of sums needed from friends and people we know. While banks may agree to provide short-term finance, they are generally __52__ to provide money on a permanent basis for long-term projects. So companies turn to public, inviting people to lend them money, or take a share in the business in __53__ for a share in future profits. This they do by __54__ stocks and shares in the business through the Stock Exchange. Bydoing so they can put into circulation the savings of __55__ and organizations, both at home and overseas.When the saver needs his money back, he does not have to go to the company with whom he originally placed it. __56__, he sells his shares through a stockbroker to some other saver who is seeking to __57__ his money.Many of the __58__ needed both by industry and by each of us are provided by the government or by local authorities. Without hospitals, electricity, telephones, railways, this country could not __59__. All these require __60__ spending on new equipment and new development if they are to serve us properly, requiring more money than is raised through taxes alone. The government, local authorities, and nationalized industries __61__ frequently need to borrow money to finance major capital spending, and they, too, come to the Stock Exchange.There is __62__ a man or woman in this country whose job or whose standard of living does not __63__ the ability of his or her employers to raise money to finance new development. In one way or another this new money must come from the savings of the country. The Stock Exchange __64__ to provide a channel through which these savings can reach those who need finance.50. A. level B. extent C. scale D. basis51. A. programme B. provide C. develop D. prepare52. A. unexpected B. unwilling C. unbelievable D. uncertain53. A. search B. exchange C. value D. comfort54. A. issuing B. allowing C. producing D. acquiring55. A. immigrants B. investigators C. inheritors D. individuals56. A. Indeed B. In fact C. In addition D. Instead57. A. eliminate B. reflect C. invest D. profit58. A. properties B. appliances C. foundations D. services59. A. function B. experience C. share D. launch60. A. invisible B. continuous C. limited D. economical61. A. therefore B. however C. nevertheless D. otherwise62. A. definitely B. almost C. hardly D. probably63. A. turn down B. depend on C. take over D. put off64. A. releases B. forces C. leaves D. exists Section 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)A voyaging ship was wrecked during a storm at sea and only two of the men aboard were able to swim to a small, desert-like island. Not knowing what else to do, the two survivors agreed that they had no alternativethan to pray to God.However, to find out whose prayers were more powerful, they agreed to divide the territory between them and stay on opposite sides of the island.The first thing they prayed for was food. The next morning, the first man saw a fruit-bearing tree on his side of the island, and he was able to eat its fruit. But the other man’s parcel of land remained barren.After a week, the first man became lonely and decided to pray for a wife. The next day, another ship was wrecked and the only survivor was a woman who swam to his side of the island. But on the other side of the island, there was nothing.Soon thereafter the first man prayed for a house, clothes and more food. The next day, like magic, all of these things were given to him. However, the second man still had nothing.Finally, the first man prayed for a ship so that he and his wife could leave the island, and in the morning he found a ship docked at his side of the island.The first man boarded the ship with his wife and decided to leave the second man on the island, considering the other man unworthy to receive God’s blessings since none of his prayers had been answered.As the ship was about to leave, the first man heard a voice from Heaven booming, “Why are you leaving your companion on the island?”“My blessings are mine alone since I was the one who prayed for them,” the first man answered. “His prayers were all unanswered and so he doesn’t deserve anything.”“You are mistaken!” the voice rebuked him. “He had only one prayer, which I answered. If not for that, you would not have received any of my blessings.”“Tell me,” the first man asked the voice, “what did he pray for that I should owe him anything?”“He prayed that all your prayers would be answered.”For all we know, our blessings are not the fruits of our prayers alone, but those of another praying for us. So what you do for others is more important than what you do for yourself.65. The first man’s wife is _____.A. a swimmer who got to the island by accidentB. an angel sent by God to keep him companyC. a survivor from another wrecked shipD. a native person on the desert-like island66. The underlined word “barren” in Paragraph 3 is closest in meaning to _____.A. isolatedB. unproductiveC. fertileD. dry67. Which of the following is true about the second man?A. He didn’t deserve any blessing from God.B. None of his prayers was answered by God.C. He is not brave enough to tell God his needs.D. His prayer helped his companion get out of trouble.68. What’s the moral of the story?A. Never judge a person by appearance.B. Don’t lose heart in trouble.C. Helping others is helping ourselves.D. Greed is the root of all evil.(B)Stewart Island Ferry ServicesWhile most visitors spend at least one night on Stewart Island, it is also readily accessible by ferry as a day excursion from Invercargill and Bluff.Experience Foveaux Strait in comfort and style on board our express catamarans. During the one-hour crossing between Bluff and Stewart Island keep a lookout for wildlife, especially seabirds. Watching mollymawks (albatross) soaring behind the ferry is a fantastic sight.Interesting landmarks commonly seen include Dog Island Lighthouse, Ruapuke Island, Titi Islands and Mt Anglem - Stewart Island’s highest point.✧Free tea and coffee on board✧Interpretation handouts are available (English only).✧Wheelchair access available✧Personal baggage is carried free on the ferries - max. two bags per person (onestowed and one small carry-on). Additional baggage is by prior arrangement.✧Vehicle parking available at Bluff (extra cost - reservations recommended)“20% Multi-Purchase REWARD” on Return Ferry ServicesBuy 2 or more different excursions and SAVE 20% off all lower priced!Kids Go FREE on selected departures during NZ School Holidays!Kids Go FREE for travel 20 April - 5 May 2013.69. If leaving a car at Bluff, a traveler had better _____.A. refer to the handouts firstB. use wheelchair accessC. make a reservationD. park it 30 minutes before departure time70. John, who went to Stewart Island on Dec. 28th, got to the ferry dock at 7:55am.When did he most probably leave Bluff?A. At 8:00a.m..B. At 9:30a.m..C. At 11:00a.m..D. At 3:00p.m..71. Which of the following is false about the ferry services?A. Tea and coffee are free for passengers.B. Children go free for travel for about 15 days.C. Travelers are sure to see some seabirds during the crossing.D. Passengers have to pay extra cost for extra pieces of luggage.(C)Barack Obama urged congressional leaders on Monday to act quickly to pass a huge stimulus package for the U.S. economy. He met with a bipartisan (concerning or involving two different political parties) group of lawmakers on Capitol Hill. Later he met individually with Democratic and Republican House and Senate leaders and spoke to a bipartisan leadership gathering. In comments to reporters early on Monday, he emphasized the urgency of finalizing economic legislation(立法). “We have got an extraordinary economic challenge ahead of us,” he said, “We are expecting a sobering job report at the end of the week. Nancy Pelosi and her staff have been extraordinarily helpful in working with our team so that we can shape an economic recovery and reinvestment plan that starts putting people back to work.”Mr. Obama wants tax cuts for individual Americans and businesses to make up a significant portion of expected legislation. This could involve as much as $300 billion of a bill that is likely to go beyond $700 billion and include aid to cash-poor U.S. states, and money for alternative energy and a range of infrastructure(基础设施) projects. Later, Mr. Obama said he expects to be able to sign legislation as soon as the end of this month, adding that quick action is necessary to “break the drive of the U.S. economic depression”.Emerging later from bipartisan talks with Mr. Obama, Nancy Pelosi said lawmakers discussed with the president how to pass a stimulus package as quickly as possible. “An economic recovery package that will create jobs immediately an d will grow the economy and that is what we talked about today,” said Nancy Pelosi. “How we could do this fast, deliberatively and to act upon it soon.” Just how soon that would be, Pelosi would not say.How much support Democrats can obtain from Republicans will depend on the details. But the severity of the U.S. economic depression has created considerable bipartisan backing for quick action. Senate Majority Leader, Harry Reid said: “There are investments that we need to make on behalf of the American people to turn around this economy. We felt very good about the meeting; we are confident that we can do this and we have to do this.”“I think the best thing I can do is to decline to comment on what they are going to do going forward,” said Dana Perino. “Ob viously, we think that tax cuts were the right way to help our economy get out of the economic depression that this president inherited and we know that tax cuts can stimulate innovation.” Asked by reporters how large the economic stimulus package might be, Senate Majority Leader Reid said Obama indicated that all but one of some 28 economists advising him had said it should range from $800 billion to $1.3 trillion.72. Barack Obama urged congressional leaders and met with bipartisan leaders to _____.A. take over the White HouseB. end economic declineC. understand each other betterD. negotiate political issues73. I f the stimulus package is passed quickly and successfully, it can _____.A. obtain support from RepublicansB. finalize economic legislationC. enhance America’s international positionD. provide job opportunities74. W hat is the bipartisan leaders’ attitude towards this meeting?A. Uncertain.B. Hopeful.C. Disappointed.D. Indifferent.75. What can we infer from the passage?A. The best way out of the economic depression is tax cuts.B. The Republic Party plays the key role in coping with the economic depression.C. Democrats and Republicans will team up in the economic depression.D. When the stimulus package will be passed is known to the lawmakers. Section C76many do not know that indoor air pollution can also have significant health effects. Environmental Protection Agency studies indicate that indoor levels of pollutants may be 2-5 times, and occasionally more than 100 times, higher than outdoor levels. These levels of indoor air pollutants may be of particular concern because most people spend about 90% of their time indoors.indoor air pollution in any home. These include combustion sources such as oil, gas, coal, wood, and tobacco products; building materials and furnishings as diverse as deteriorated asbestos-containing insulation, wet or damp carpet, and cabinetry or furniture made of certain pressed wood products; products for household cleaning and maintenance, personal care, or hobbies; central heating and cooling systems and humidification devices; and outdoor sources such as radon, pesticides, and outdoor air pollution.These include irritation of the eyes, nose, and throat, headaches, dizziness, and fatigue. Such immediate effects are usually short-term and treatable. Sometimes the treatment is simply eliminating the person's exposure to the source of thepollution, if it can be identified. Symptoms of some diseases, including asthma, hypersensitivity and fever, may also show up soon after exposure to some indoor air pollutants.factors. Age and pre-existing medical conditions are two important influences. In other cases, whether a person reacts to a pollutant depends on individual sensitivity, which varies tremendously from person to person. Some people can become sensitized to biological pollutants after repeated exposures, and it appears that some people can become sensitized to chemical pollutants as well.so it is often difficult to determine if the symptoms are a result of exposure to indoor air pollution. For this reason, it is important to pay attention to the time and place the symptoms occur. If the symptoms fade or go away when a person is away from the home and return when the person returns, an effort should be made to identify indoor air sources that may be possible causes.Section DChildren and adolescents who watch a lot of television are more likely to have antisocial and criminal behavior when they become adults, according to a new University of Otago, New Zealand, study published online in the journal Pediatrics. The study followed a group of around 1,000 children born in the New Zealand city of Dunedin in 1972-1973. Every two years between the ages of 5 and 15, they were asked how much television they watched. Those who watched more television were more likely to have a criminal conviction and were also more likely to have antisocial personality traits in adulthood.The study found that the risk of having a criminal behavior by early adulthood increased by about 30% with every hour that children spent watching TV on an average weeknight.The study also found that watching more television in childhood was associated, in adulthood, with aggressive personality, an increased tendency to experience negative emotions, and an increased risk of antisocial personality disorder; a psychiatric disorder characterised by persistent patterns of aggressive and antisocial behavior.The researchers found that the relationship between TV viewing and antisocial behavior was not explained by socio-economic status, aggressive or antisocial behavior in early childhood, or parenting factors.A study co-author, Lindsay Robertson, says it is not that children who were already antisocial watched more television. “Rather, children who watched a lot of television were likely to go on to manifest antisocial beh avior and personality traits.”Other studies have suggested a link between television viewing and antisocial behavior, though very few have been able to demonstrate a cause-and-effect sequence. This is the first ‘real-life’ study that has asked about TV vi ewing throughout the whole childhood period, and has looked at a range of antisocial outcomes in adulthood. As an observational study, it cannot prove that watching too much television caused the antisocial outcomes, but the findings are consistent with most of the research and provides further evidence that excessive television can have long-term consequences for behavior.Antisocial behavior is a major problem for society. While we’re not saying that television causes all antisocial behavior, our findings do suggest that reducing TV viewing could go some way towards reducing rates of antisocial behavior in society,” says Associate Professor Hancox.The American Academy of Pediatrics recommends that children should watch no more than 1 to 2 hours of quality television programming each day. The researchers say their findings support the idea that parents should try to limit their children’s television use.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)81. The aim of the study is to reveal __________.82. The researchers chose __________ as their research subjects (研究对象).83. What’s the shortcoming of most of the studies on this topic?__________________________________________________________.84. What do you suppose many parents will do after reading this passage?__________________________________________________________.第II卷（共45分）I. Translation85. 许多驾驶员对新的交通法规都感到不习惯。

2012学年四区联考（静杨青宝）高三年级高考模拟考试数学试卷(理科)2013.04.（满分150分，答题时间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．已知全集，集合，则.R U ={}0322>--=x x x A =A C U 2．若复数满足（是虚数单位），则.z )2(z i z -=i =z 3．已知直线的倾斜角大小是，则.012=++y x θ=θ2tan 4．若关于的二元一次方程组有唯一一组解，则实数的取值范y x 、⎩⎨⎧=-+-=+-04)12(03y x m y mx m 围是.5．已知函数和函数的图像关于直线)(x f y =)1(log 2+=x y 对称，则函数的解析式为.0=-y x )(x f y =6．已知双曲线的方程为1322=-y x 距离为.7．函数的最小正周期xx x x x x x f sin cos sin 2)cos(cos sin )(--+=πT 8．若展开式中含项的系数等于含项系数的8倍，则正nx )21(+3x x 整数.=n 9．执行如图所示的程序框图，若输入的值是，则输出的值是.p 7S 10．已知圆锥底面半径与球的半径都是，如果圆锥的体积恰好也与球的体积相等，那么这1cm 个圆锥的母线长为．cm 理高中进行整范围11．某中学在高一年级开设了门选修课，每名学生必须参加这门选修课中的一门，对于该44年级的甲、乙、丙名学生，这名学生选择的选修课互不相同的概率是(结果用33最简分数表示)． 12．各项为正数的无穷等比数列的前项和为，若， 则其公比的取值{}n a n n S 1lim1=+∞→n nn S S q 范围是 .13．已知两个不相等的平面向量，()满足||＝2，且与－的夹角为120°，则αβ≠αβαβα||的最大值是.α14．给出30行30列的数表：，其特点是每行每列都A ⎪⎪⎪⎪⎪⎪⎪⎪⎭⎫⎝⎛1074216183150117216342720131832721159150201510511713951构成等差数列，记数表主对角线上的数按顺序构成数列，存在正整10743421101、、、、、 {}n b 数使成等差数列，试写出一组的值.)1(t s t s <<、t s b b b ,,1),(t s 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，考生应在答案纸的相应编号上，填上正确的答案，选对得5分，否则一律得零分.15．已知，，则的值等于………………………（ ）),2(ππα∈53sin =α)4tan(πα-（A ）． （B ） ． （C ） ． （D ）．7171-77-16．已知圆的极坐标方程为，则“”是“圆与极轴所在直线相切”的C θρsin a =2=a C ………………………………………………………………………………（）（A ）充分不必要条件．（B ）必要不充分条件．（C ）充要条件．（D ）既不充分又不必要条件．17． 若直线经过点，则 …………………………（）2=+by ax )sin ,(cos ααM 术不仅可以解决吊顶层资料试卷要求，对电气卷配置技术是指机组在进（A ）．（B ）．（C ）． （D ）422≤+b a 422≥+b a 41122≤+b a ．41122≥+ba 18．已知集合，若对于任意，存在，使{})(),(x f y y x M ==M y x ∈),(11M y x ∈),(22得成立，则称集合是“集合”. 给出下列4个集合：02121=+y y x x M Ω①②⎭⎬⎫⎩⎨⎧==x y y x M 1),({}2),(-==x e y y x M ③④{}x y y x M cos ),(=={}x y y x M ln ),(==其中所有“集合”的序号是……………………………………………………（）Ω（A ）②③ ．（B ）③④ ．（C ）①②④．（D ）①③④．三、解答题（本大题满分74分）本大题共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）本题共有2小题，第1小题满分5分，第2小题满分7分．在棱长为的正方体中，分别为的中点．21111D C B A ABCD -F E ,CD B A,11（1）求直线与平面所成角的大小；EC 11BCC B （2）求二面角的大小．B AF E -- 20．（本题满分14分）本题共有2小题，第1小题满分6分，第2小题满分8分 ．如图所示，扇形，圆心角的大小等于，半径为，在半径上有一动点，AOB AOB 3π2OA C过点作平行于的直线交弧于点．C OB AB P （1）若是半径的中点，求线段的大小；C OA PC （2）设，求△面积的最大值及此时的值．θ=∠COP POC θ21．（本题满分14分）本题共有2小题，第1小题满分7分，第2小题满分7分 ．已知函数．a x x f +=2)(（1）若是偶函数，在定义域上恒成立，求实数的取值范围；12)()(++=bx x f x F ax x F ≥)(a （2）当时，令，问是否存在实数，使在上是1=a )())(()(x f x f f x λϕ-=λ)(x ϕ()1,-∞-减函数，在上是增函数？如果存在，求出的值；如果不存在，请说明理由．()0,1-λ22．（本题满分16分）本题共有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6分.已知点，、、是平面直角坐标系上的三点，且、、成等差)0,1(A 1P 2P 3P 1AP2AP 3AP 数列，公差为，．d 0≠d （1）若坐标为，，点在直线上时，求点的坐标；1P ()1,1-2d =3P 3180x y --=3P （2）已知圆的方程是，过点的直线交圆于两点，C 222)3()3(r y x =-+-)0(>r A 31P P 、是圆上另外一点，求实数的取值范围；2P C d （3）若、、都在抛物线上，点的横坐标为，求证：线段的垂直平1P 2P 3P 24y x =2P 313PP 分线与轴的交点为一定点，并求该定点的坐标．x 23．（本题满分18分）本题共有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.已知数列的前项和为，且满足 ()，，设，{}n a n n S a a =13≠a nn n S a 31+=+n n n S b 3-=．*∈N n （1）求证：数列是等比数列；{}n b （2）若≥，，求实数的最小值；1+n a n a *∈N n a （3）当时，给出一个新数列，其中，设这个新数列的前项和4=a {}n e ⎩⎨⎧≥==2,1,3n b n e nn n为，若可以写成 (且)的形式，则称为“指数型和”．问中n C n C p t *∈N p t ,1,1>>p t n C {}n C 的项是否存在“指数型和”，若存在，求出所有“指数型和”；若不存在，请说明理由．四区联考2012学年度第二学期高三数学（文理）参考答案及评分标准2013.04说明1．本解答列出试题一种或几种解法，如果考生的解法与所列解法不同，可参照解答中评分标准的精神进行评分．2．评阅试卷，应坚持每题评阅到底，不要因为考生的解答中出现错误而中断对该题的评阅．当考生的解答在某一步出现错误，影响了后续部分，但该步以后的解答未改变这一题的内容和难度时，可视影响程度决定后面部分的给分，但是原则上不应超出后面部分应给分数之半，如果有较严重的概念性错误，就不给分．3．第19题至第23题中右端所注的分数，表示考生正确做到这一步应得的该题分数．4．给分或扣分均以1分为单位．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．； 2．； 3．； 4．； 5．； 6．；]3,1[-23431≠m 12-=xy 17．（文、理）；8．（文）4（理）；9．；10．；11．（文）（理）π5646317414214=C ；12．；13．（文）（理）；14．（文）②③⑤（理）． 834334=P (]1,0(1,)+∞334)25,17(②二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案，考生应在答案纸的相应编号上，填上正确的答案，选对得5分，否则一律得零分.15． D ； 16．（文）B （理）A ； 17． B ；18．（文）C （理）A三、解答题（本大题满分74分）本大题共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 .吊顶层配置不规范高中资电气设备进行空载与带组在进行继电保护高中资19．（本题满分12分）本题共有2小题，第1小题满分5分，第2小题满分7分 ．(文)解：（1）如图正四棱锥底面的边长是米，高是米5.185.0sh V 31=36375.085.05.15.131m =⨯⨯⨯=所以这个四棱锥冷水塔的容积是．36375.0m (2)如图，取底面边长的中点，连接，E SE 222275.085.0+=+=EO SO SE SE ⨯⨯⨯=5.1214S 侧22240.375.085.05.1214m ≈+⨯⨯⨯=答：制造这个水塔的侧面需要3.40平方米钢板．（理）19．（1）（理）解法一：建立坐标系如图平面的一个法向量为11BCC B )0,1,0(1=n 因为，，)2,1,2(E )0,2,0(C )2,1,2(--=∴可知直线的一个方向向量为．EC )2,1,2(--=∴设直线与平面成角为，与所成角为，则EC 11BCC B θ1nϕ。

静安、杨浦、青浦、宝山区2013届高三4月高考模拟英语试卷考生注意：1、本试卷分为第Ⅰ卷和第Ⅱ卷两部分。

全卷共11页。

满分150分。

考试时间120分钟。

2、答第一卷前，考生务必在答题卡上用钢笔或水笔清楚填写学校、班级、姓名、准考证号，并用铅笔在答题卡上正确涂写准考证号。

3、第I卷（1—16小题，25 —80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铅笔涂黑。

注意试题题号和答题卡编号一一对应，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。

答案不能涂写在试卷上，涂写在试卷上一律不给分。

第I卷中的第17—24小题、81—84小题和第II卷的试题在电脑上阅卷，其答案用黑色或蓝色钢笔或水笔写在答题卡上，如用铅笔答题，或写在试卷上也一律不给分。

答题时，请按题号顺序在各题目的答题区域内作答，超出答题区域书写的答案一律无效。

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.1. A. 8:15. B. 8:45. C. 9:13. D. 9:30.2. A. Terrible. B. Regretful. C. Exhausted. D. Satisfied.3. A. Its quality. B. Its space. C. Its design. D. Its price.[来源:]4. A. Husband and wife. B. Doctor and patient.[来源:]C. Customer and waitress.D. Boss and employee.5. A. At a nursery school. B. At a studio. C. In a cinema. D. In a store.6. A. He doesn’t like living in the suburbs.B. The suburbs make lots of noise.C. He can’t afford to stay there.D. He has to pay a lot to take a taxi.7. A. He gave the woman the wrong information.B. He added salt to the coffee.C. He put the sugar in the black container.D. He broke the two containers.8. A. Take some medicine. B. Stay in hospital.C. Take his temperature.D. Have some soft drink.9. A. The woman is good at maths. B. The man has problem with maths.C. The man is the cheerleader in school.D. The woman is a trouble maker.10. A. Sam applied for the job first.B. Christina is supposed to be in charge of the department.C. Sam is capable enough of taking the responsibility.D. Christina is the right person for the job vacancy.Section BDirections: In Section B, you will hear two short passages, and you will be asked three questionson 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. In the middle of the hall. B. At the back of the room.C. Next to the gate.D. At the information desk.12. A. Speak without permission. B. Note down the agenda (议程).C. Read the agenda carefully.D. Fill out a “Speaker Card”.13. A. Just share the ideas with the partner in the meeting room.B. Interrupt the speaker whenever he just talks nonsense.C. Keep quiet when somebody else is giving his opinions.D. Talk on the cell phone in a low voice during the meeting.Questions 14 through 16 are based on the following passage.14. A. 6a.m.-8a.m., 9p.m.-11p.m.. B. 5a.m.-7a.m., 5p.m.-7p.m..C. 5a.m.-6a.m., 5p.m.-6p.m..D. 6a.m.-7a.m., 8p.m.-9p.m..15. A. To make the town cleaner and better the environment.B. To reduce the amount of the waste.C. To introduce a new resource-recycling company.D. To try some new way out to decrease its negative effects.16. A. They have to help clean the streets for a whole day.B. They have reached an agreement with the local residents.C. They travel a lot to look after family businesses.D. They come back home late and miss the waste collection 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 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.What is the name of the book? __17 and the Modern Age.Who asks the librarian to make sure every student can read the book? The 18 .Where is the book now? In the 19 room.Which floor can students find the book? On the 20 floor.Blanks 21 through 24 are based on the following conversation.Complete the form. Write NO MORE THAN THREE WORDS for each answer.What kind of store is Radio Shack? 21 .What is the advantage of shopping in Radio Shack besides good quality? It provides 22 . What is the disadvantage of shopping in the bookstores? 23 .What does “shopping around” mean?Going to different stores and 24__ goods at the cheapest price.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. The start of a new year brings hope — hope _____ better health, more happiness and greater success.A. amo ngB. forC. overD. on26. –What is the man, actually?–I don’t know for sure. But I think he can be _____ but a policeman.A. nothingB. somethingC. everythingD. anything27. –Do you know where David is? I couldn’t f ind him anywhere.– Well. He _____ have gone far — his glasses are still here.A. shouldn’tB. mustn’tC. can’tD. wouldn’t28. I suppose you are unwilling to change your idea, _____?A. aren’t youB. do IC. don’t ID. are you29. At the moment of the car accident, Jason’s life _____ in the blink of an eye.A. changesB. had changedC. was changingD. changed30. The law says that all public buildings must be accessible to people who have trouble _____.A. walkingB. walkC. to walkD. walked31. Many students apply for a position at that company, but only a few _____.A. are being acceptedB. are acceptedC. have acceptedD. accept32. Desserts made from apples, such as pies, apple pancakes and apples _____ in sugar are available for sampling.A. dippingB. dipC. dippedD. to dip33. Tom’s resolution _____ up drinking alcohol lasted only two days.A. givenB. givingC. giveD. to give34. The boy, one of the so-called rich second generation, forced his parents to buy a new car _____ it might cost.A. no matter howB. however highC. no matter how muchD. how much35. A business plan should be a strategic outline of _____ you are going to do, why and how you are going to do it.A. whatB. whichC. howD. that36. The teacher left word with our monitor _____ she would explain the problem again next time.A. whoB. whichC. asD. that37. They will pay a visit to Europe in a couple of years _____ they have enough money.A. for fear thatB. on condition thatC. even thoughD. as well as38. Every time Gina catches her employees _____ time, she reminds them that time is money.A. to wasteB. wastingC. wastedD. waste39. Not until 2012 _____ to a Chinese writer for the first time.A. the Nobel Prize in literature was awardedB. was awarded the Nobel Prize in literatureC. was the Nobel Prize in literature awardedD. the Nobel Prize was awarded in literature40. BrainPOP is an educational program consisting of brief animated videos _____ a man named Tim and his robot friend Moby discuss various subjects.A. in whichB. whichC. asD. in thatSection 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. concentratedB. possibleC. revisedD. applicationsE. figuresF. connectG. benefitsH. globalI. contributeJ. topsMore than two million people in Europe now have fiber broadband（光纤宽带）direct to their home, suggests a survey. The latest __41__ on superfast broadband delivered by fiber to the home (FTTH) show 18% growth over the last survey compiled in late 2008.The continued growth suggests that the __42__ economic decline has not hit plans to build fiber networks. Sweden __43__ the list of nations applying the technology, with 10.9% of its broadband customers using fiber. Karel Helsen, president of Europe’s Fiber-To-The-Home Council, said the growth matched predictions that were __44__ when the credit crisis started to make itself felt. “The numbers in 2009 are in line with the latest forecasts,” said Mr. Helsen.By 2012, the FTTH Council expects that 13 million people across 35 European nations will have their broadband delivered by fiber. Such services would start at a speed of 100 megabits per second (mbps), said Mr. Helsen. Around Europe more than 233 projects were underway to lay the fibers that would __45__ homes or buildings to the net, said Mr. Helsen. Many of those, he said, were being operated by local governments or smaller net firms. Local governments were interested in FTTH because of the economic and social __46__ it brought in its wake, said Mr. Helsen.The low delay in high-speed fiber networks made __47__ new uses of broadband, he said. “No delay is very important,” he said, “specifically if you talk about __48__ that are time-dependent such as personal communications, conference calls or video calls where delays cause a lot of trouble.” While early FTTH services were__49__ in cities, said Mr. Helsen, many more were reaching out to rural areas for e-health and e-learning projects.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.Large companies need a way to reach the savings of the public at large. The same problem, on a smaller__50__, faces practically every company trying to __51__ new products and create new jobs. There can be little prospect of raising the sort of sums needed from friends and people we know. While banks may agree to provide short-term finance, they are generally __52__ to provide money on a permanent basis for long-term projects. So companies turn to public, inviting people to lend them money, or take a share in the business in __53__ for a share in future profits. This they do by __54__ stocks and shares in the business through the Stock Exchange. By doing so they can put into circulation the savings of __55__ and organizations, both at home and overseas. When the saver needs his money back, he does not have to go to the company with whom he originally placed it. __56__, he sells his shares through a stockbroker to some other saver who is seeking to __57__ his money.Many of the __58__ needed both by industry and by each of us are provided by the government or by local authorities. Without hospitals, electricity, telephones, railways, this country could not __59__. All these require __60__ spending on new equipment and new development if they are toserve us properly, requiring more money than is raised through taxes alone. The government, local authorities, and nationalized industries __61__ frequently need to borrow money to finance major capital spending, and they, too, come to the Stock Exchange.There is __62__ a man or woman in this country whose job or whose standard of living does not __63__ the ability of his or her employers to raise money to finance new development. In one way or another this new money must come from the savings of the country. The Stock Exchange __64__ to provide a channel through which these savings can reach those who need finance.50. A. level B. extent C. scale D. basis51. A. programme B. provide C. develop D. prepare52. A. unexpected B. unwilling C. unbelievable D. uncertain53. A. search B. exchange C. value D. comfort54. A. issuing B. allowing C. producing D. acquiring55. A. immigrants B. investigators C. inheritors D. individuals56. A. Indeed B. In fact C. In addition D. Instead57. A. eliminate B. reflect C. invest D. profit58. A. properties B. appliances C. foundations D. services59. A. function B. experience C. share D. launch60. A. invisible B. continuous C. l imited D. economical61. A. therefore B. however C. nevertheless D. otherwise62. A. definitely B. almost C. hardly D. probably63. A. turn down B. depend on C. take over D. put off64. A. releases B. forces C. leaves D. existsSection 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)A voyaging ship was wrecked during a storm at sea and only two of the men aboard were able to swim to a small, desert-like island. Not knowing what else to do, the two survivors agreed that they had no alternativethan to pray to God.However, to find out whose prayers were more powerful, they agreed to divide the territory between them a nd stay on opposite sides of the island.The first thing they prayed for was food. The next morning, the first man saw a fruit-bearing tree on his side of the island, and he was able to eat its fruit. But the other man’s parcel of land remained barren.After a week, the first man became lonely and decided to pray for a wife. The next day, another ship was wrecked and the only survivor was a woman who swam to his side of the island. But on the other side of the island, there was nothing.Soon thereafter the first man prayed for a house, clothes and more food. The next day, like magic, all of these things were given to him. However, the second man still had nothing.Finally, the first man prayed for a ship so that he and his wife could leave the island, and in the morning he found a ship docked at his side of the island.The first man boarded the ship with his wife and decided to leave the second man on the island, considering the other man unworthy to receive God’s blessings since none of his prayers had be enanswered.As the ship was about to leave, the first man heard a voice from Heaven booming, “Why are you leaving your companion on the island?”“My blessings are mine alone since I was the one who prayed for them,” the first man answered. “His prayers were all unanswered and so he doesn’t deserve an ything.”“You are mistaken!” the voice rebuked him. “He had only one prayer, which I answered. If not for that, you would not have received any of my blessings.”“Tell me,” the first man asked the voice, “what did he pray for that I should owe him anything?”“He prayed that all your prayers would be answered.”For all we know, our blessings are not the fruits of our prayers alone, but those of another praying for us. So what you do for others is more important than what you do for yourself.65. The first man’s wife is _____.A. a swimmer who got to the island by accidentB. an angel sent by God to keep him companyC. a survivor from another wrecked shipD. a native person on the desert-like island66. The underlined word “barren” in Paragraph 3 is closest in meaning to _____.A. isolatedB. unproductiveC. fertileD. dry67. Which of the following is true about the second man?A. He didn’t deserve any blessing from God.B. None of his prayers was answered by God.C. He is not brave enough to tell God his needs.D. His prayer helped his companion get out of trouble.68. What’s the moral of the story?A. Never judge a person by appearance.B. Don’t lose heart in trouble.C. Helping others is helping ourselves.D. Greed is the root of all evil.(B)Stewart Island Ferry ServicesWhile most visitors spend at least one night on Stewart Island, it is also readily accessible by ferry as a day excursion from Invercargill and Bluff.Experience Foveaux Strait in comfort and style on board our express catamarans. During the one-hour crossing between Bluff and Stewart Island keep a lookout for wildlife, especially seabirds. Watching mollymawks (albatross) soaring behind the ferry is a fantastic sight. Interesting landmarks commonly seen include Dog Island Lighthouse, Ruapuke Island, Titi Islands and Mt Anglem - Stewart Island’s highest point.•Free tea and coffee on board•Interpretation handouts are available (English only).•Wheelchair access available•Personal baggage is carried free on the ferries - max. two bags per person (one stowed and one small carry-on). Additional baggage is by prior arrangement.•Vehicle parking available at Bluff (extra cost - reservations recommended)FERRY TO STEW ART ISLANDDepart BluffAll year 9:30amSep-May 5:00pmOct –Apr 11:00amJun –Aug 4:30pmLate Dec –mid Jan8:00amFERRY TO BLUFFDepart Stewart IslandAll year 8:00amSep –May 3:30pmOct –Mar 6:00pmApr 5:00pmJun-Aug 3:00pmLate Dec –mid Jan 9:30amOther departures as locally advertisedDuration 1hrCheck-in 30 minutes prior to the scheduled departure time. (Check-in and boarding gates are closed 10 minutes prior to times stated above.)“20% Multi-Purchas e REW ARD” on Return Ferry ServicesBuy 2 or more different excursions and SA VE 20% off all lower priced!Kids Go FREE on selected departures during NZ School Holidays!Kids Go FREE for travel 20 April - 5 May 2013.69. If leaving a car at Bluff, a traveler had better _____.A. refer to the handouts firstB. use wheelchair accessC. make a reservationD. park it 30 minutes before departure time70. John, who went to Stewart Island on Dec. 28th, got to the ferry dock at 7:55am. When did he most probably leave Bluff?A. At 8:00a.m..B. At 9:30a.m..C. At 11:00a.m..D. At 3:00p.m..71. Which of the following is false about the ferry services?A. Tea and coffee are free for passengers.B. Children go free for travel for about 15 days.C. Travelers are sure to see some seabirds during the crossing.D. Passengers have to pay extra cost for extra pieces of luggage.(C)Barack Obama urged congressional leaders on Monday to act quickly to pass a huge stimulus package for the U.S. economy. He met with a bipartisan (concerning or involving two different political parties) group of lawmakers on Capitol Hill. Later he met individually with Democratic and Republican House and Senate leaders and spoke to a bipartisan leadership gathering. In comments to reporters early on Monday, he emphasized the urgency of finalizing economic legislation (立法). “We have got an extraordinary econ omic challenge ahead of us,” he said, “Weare expecting a sobering job report at the end of the week. Nancy Pelosi and her staff have been extraordinarily helpful in working with our team so that we can shape an economic recovery and reinvestment plan that starts putting people back to work.”Mr. Obama wants tax cuts for individual Americans and businesses to make up a significant portion of expected legislation. This could involve as much as $300 billion of a bill that is likely to go beyond $700 billion and include aid to cash-poor U.S. states, and money for alternative energy and a range of infrastructure (基础设施) projects. Later, Mr. Obama said he expects to be able to sign legislation as soon as the end of this month, adding that quick action is necessary to “break the drive of the U.S. econo mic depression”.Emerging later from bipartisan talks with Mr. Obama, Nancy Pelosi said lawmakers discussed with the president how to pass a stimulus package as quickly as possible. “An economic recovery package that will create jobs immediately and will grow the economy and that is what we talked about today,” said Nancy Pelosi. “How we could do this fast, deliberatively and to act upon it soon.” Just how soon that would be, Pelosi would not say.How much support Democrats can obtain from Republicans will depend on the details. But the severity of the U.S. economic depression has created considerable bipartisan backing for quick action. Senate Majority Leader, Harry Reid said: “There are investments that we need to make on behalf of the American people to turn around this economy. We felt very good about the meeting; we ar e confident that we can do this and we have to do this.”“I think the best thing I can do is to decline to comment on what they are going to do going forward,” said Dana Perino. “Obviously, we think that tax cuts were the right way to help our economy get out of the economic depression that this president inherited and we know that tax cuts can stimulate innovation.” Asked by reporters how large the economic stimulus package might be, Senate Majority Leader Reid said Obama indicated that all but one of some 28 economists advising him had said it should range from $800 billion to $1.3 trillion.72. Barack Obama urged congressional leaders and met with bipartisan leaders to _____.A. take over the White HouseB. end economic declineC. understand each other betterD. negotiate political issues73. If the sti mulus package is passed quickly and successfully, it can _____.A. obtain support from RepublicansB. finalize economic legislationC. enhance America’s international pos itionD. provide job opportunities74. What is the bipartisan leaders’ attitude towards this meeting?A. Uncertain.B. Hopeful.C. Disappointed.D. Indifferent.75. What can we infer from the passage?A. The best way out of the economic depression is tax cuts.B. The Republic Party plays the key role in coping with the economic depression.C. Democrats and Republicans will team up in the economic depression.D. When the stimulus package will be passed is known to the lawmakers.Section CDirections: Read the following text and choose the most suitable heading from A-F for each paragraph. There is one extra heading which you do not need.A. Factors that influence reactions to pollutantsB. Possible sources of indoor air pollutionC. Ways to identify diseases with similar symptomsD. Long-term effects after repeated exposureE. A commonly-ignored health threatF. Immediate symptoms and regular treatment76.Most people are aware that outdoor air pollution can damage their health, but many do not know that indoor air pollution can also have significant health effects. Environmental Protection Agency studies indicate that indoor levels of pollutants may be 2-5 times, and occasionally more than 100 times, higher than outdoor levels. These levels of indoor air pollutants may be of particular concern because most people spend about 90％of their time indoors.[来源:]77.There are many sources of indoor air pollution in any home. These include combustion sources such as oil, gas, coal, wood, and tobacco products; building materials and furnishings as diverse as deteriorated asbestos-containing insulation, wet or damp carpet, and cabinetry or furniture made of certain pressed wood products; products for household cleaning and maintenance, personal care, or hobbies; central heating and cooling systems and humidification devices; and outdoor sources such as radon, pesticides, and outdoor air pollution.78.Immediate effects may show up after a single exposure or repeated exposures. These include irritation of the eyes, nose, and throat, headaches, dizziness, and fatigue. Such immediate effects are usually short-term and treatable. Sometimes the treatment is simply eliminating the person's exposure to the source of the pollution, if it can be identified. Symptoms of some diseases, including asthma, hypersensitivity and fever, may also show up soon after exposure to some indoor air pollutants.[来源:]79.The likelihood of immediate reactions to indoor air pollutants depends on several factors. Age and pre-existing medical conditions are two important influences. In other cases, whether a person reacts to a pollutant depends on individual sensitivity, which varies tremendously from person to person. Some people can become sensitized to biological pollutants after repeated exposures, and it appears that some people can become sensitized to chemical pollutants as well.80.Certain immediate effects are similar to those from colds or other viral diseases, so it is often difficult to determine if the symptoms are a result of exposure to indoor air pollution. For this reason, it is important to pay attention to the time and place the symptoms occur. If the symptoms fade or go away when a person is away from the home and return when the person returns, an effort should be made to identify indoor air sources that may be possible causes.Section DDirections: Read the passage carefully. Then answer the questions or complete the statements inthe fewest possible words.Children and adolescents who watch a lot of television are more likely to have antisocial and criminal behavior when they become adults, according to a new University of Otago, New Zealand, study published online in the journal Pediatrics. The study followed a group of around 1,000 children born in the New Zealand city of Dunedin in 1972-1973. Every two years between the ages of 5 and 15, they were asked how much television they watched. Those who watched more television were more likely to have a criminal conviction and were also more likely to have antisocial personality traits in adulthood.The study found that the risk of having a criminal behavior by early adulthood increased by about 30% with every hour that children spent watching TV on an average weeknight.The study also found that watching more television in childhood was associated, in adulthood, with aggressive personality, an increased tendency to experience negative emotions, and an increased risk of antisocial personality disorder; a psychiatric disorder characterised by persistent patterns of aggressive and antisocial behavior.The researchers found that the relationship between TV viewing and antisocial behavior was not explained by socio-economic status, aggressive or antisocial behavior in early childhood, or parenting factors.A study co-author, Lindsay Robertson, says it is not that children who were already antisocial watched more television. “Rather, children who watched a lot of television were likely to go on to manifest antisocial behavior and personality traits.”Other studies have suggested a link between television viewing and antisocial behavior, though very few have been able to demonstrate a cause-and-effe ct sequence. This is the first ‘real-life’ study that has asked about TV viewing throughout the whole childhood period, and has looked at a range of antisocial outcomes in adulthood. As an observational study, it cannot prove that watching too much television caused the antisocial outcomes, but the findings are consistent with most of the research and provides further evidence that excessive television can have long-term consequences for behavior.Antisocial behavior is a major problem for society. While we’re not saying that television causes all antisocial behavior, our findings do suggest that reducing TV viewing could go some way towards reducing rates of antisocial behavior in society,” says Associate Professor Hancox.The American Academy of Pediatrics recommends that children should watch no more than 1 to 2 hours of quality television programming each day. The researchers say their findings support the idea that parents should try to limit their children's television use.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)81. The aim of the study is to reveal ______________________________________________.82. The researchers chose __________________________________________ as their research subjects（研究对象）.83. What’s the shortcoming of most of the studies on this topic?__________________________________________________________.84. What do you suppose many parents will do after reading this passage?__________________________________________________________.第II卷（共45分）I. Translation。

上海嘉定、长宁2013年高考二模作文分析作文题目：27.根据以下材料，自选角度，自拟题目，写一篇不少于800字的文章（不要写成诗歌）。

庄子说，高山上看到的山下人，皆如蝼蚁，大小高低如一，何必去争谁高谁低。

胡适先生说，我是山下人，就在山下看人，怎能不计较大小、高低、胖瘦？立意分析：乍一看到这个材料，最先想到的立意应该是：如何看待一个人，一件事，取决于你站在哪一个位置，处于什么样的立场。

不同的立场和角度，看到的效果是不同的。

从材料的字面理解出来的意思如下：1、如果一个人的起点很高，或是在某一个领域里遥遥领先，那么他就好比站在“高山”之上，看其他人，都觉得一样渺小，无论如何也追不上自己。

相反，如果一个人只是很平凡地生存在人海中，那么他身边各色各样的人，在他眼中都是不一样的，假使不用心去留意，很可能不知何时，自己就会被取代。

这个立意当然还可以引申。

2、做人处事要有忧患意识。

不因为自己高高在上就忽略了身后追赶的人，更不能因为自己很平凡，就甘于平凡，不思进取。

总而言之，停滞不前，就是退步。

3、庄子作为道家思想的代表人物，带有一种消极的避世的理念，因此他的很多主张都是“不作为”的。

而胡适的思想相对于庄子，在历史进程上有了一定的进步，当然会更积极一些。

这个层面有点像是历史辨析题。

总的来说，这个材料的立意确定应该没有什么难度。

（上海虹口2013年高考二模作文“争先恐后”分析作文题目：27.根据以下材料，选取一个角度，自拟题目，写一篇不少于800字的文章（不要写成诗歌）中国人喜欢争先恐后，常常可以看到这样的情况：支援灾区，远在千里之外的人们争抢献血；400米跑道上，运动员在为得到好名次批命奔跑；斑马线前，行人都下意识地往前拥，绿灯还没亮，人群就浸到了马路上……立意分析：关键词：“争先恐后”争先恐后本身就存在两面性，争先有好有坏，光从材料中就能看出。

所以行文时选择的立意要有两面性，有时候争先是好事，有时候争先，却并不是好事。

2012学年四区联考（静杨青宝）高三年级高考模拟考试数学试卷(理科)2013.04.（满分150分，答题时间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．已知全集R U =，集合{}0322>--=x x x A ，则=A C U . 2．若复数z 满足)2(z i z -=（i 是虚数单位），则=z . 3．已知直线012=++y x 的倾斜角大小是θ，则=θ2tan . 4．若关于y x 、的二元一次方程组⎩⎨⎧=-+-=+-04)12(03y x m y mx 有唯一一组解，则实数m 的取值范围是 .5．已知函数)(x f y =和函数)1(l o g 2+=x y 的图像关于直线0=-y x 对称，则函数)(x f y =的解析式为 .6．已知双曲线的方程为1322=-y x ，则此双曲线的焦点到渐近线的距离为 .7．函数xx x x x x x f sin cos sin 2)cos(cos sin )(--+=π的最小正周期=T .8．若nx )21(+展开式中含3x 项的系数等于含x 项系数的8倍，则正整数=n . 9．执行如图所示的程序框图，若输入p 的值是7，则输出S 的值是 .10．已知圆锥底面半径与球的半径都是1cm ，如果圆锥的体积恰好也与球的体积相等，那么这个圆锥的母线长为cm ．11．某中学在高一年级开设了4门选修课，每名学生必须参加这4门选修课中的一门，对于该年级的甲、乙、丙3名学生，这3名学生选择的选修课互不相同的概率是 (结果用最简分数表示)．12．各项为正数的无穷等比数列{}n a 的前n 项和为n S ，若1lim 1=+∞→n nn S S ， 则其公比q 的取值范围是 .13．已知两个不相等的平面向量，(0≠)满足||＝2，且与－的夹角为120°，则|α|的最大值是 .14．给出30行30列的数表A ：⎪⎪⎪⎪⎪⎪⎪⎪⎭⎫⎝⎛1074216183150117216342720131832721159150201510511713951，其特点是每行每列都构成等差数列，记数表主对角线上的数10743421101，，，，， 按顺序构成数列{}n b ，存在正整数)1(t s t s <<、使t s b b b ,,1成等差数列，试写出一组),(t s 的值 .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，考生应在答案纸的相应编号上，填上正确的答案，选对得5分，否则一律得零分. 15．已知),2(ππα∈，53sin =α，则)4tan(πα-的值等于………………………（ ）（A ）71． （B ）71- ． （C ） 7． （D ）7-．16．已知圆C 的极坐标方程为θρsin a =，则“2=a ”是“圆C 与极轴所在直线相切”的 ………………………………………………………………………………（ ） （A ）充分不必要条件．（B ）必要不充分条件．（C ）充要条件．（D ）既不充分又不必要条件． 17． 若直线2=+by ax 经过点)sin ,(cos ααM ，则 …………………………（ ）（A ） 422≤+b a ． （B ） 422≥+b a ． （C ）41122≤+b a ． （D ）41122≥+ba ．18．已知集合{})(),(x f y y x M ==，若对于任意M y x ∈),(11，存在M y x ∈),(22，使 得02121=+y y x x 成立，则称集合M 是“Ω集合”. 给出下列4个集合： ① ⎭⎬⎫⎩⎨⎧==x y y x M 1),( ②{}2),(-==xe y y x M ③{}x y y x M cos ),(== ④ {}x y y x M ln ),(==其中所有“Ω集合”的序号是……………………………………………………（ ） （A ）②③ ． （B ）③④ ． （C ）①②④． （D ）①③④．三、解答题（本大题满分74分）本大题共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）本题共有2小题，第1小题满分5分，第2小题满分7分．在棱长为2的正方体1111D C B A ABCD -中，F E ,分别为CD B A ,11的中点． （1）求直线EC 与平面11BCC B 所成角的大小； （2）求二面角B AF E --的大小．20．（本题满分14分）本题共有2小题，第1小题满分6分，第2小题满分8分 ．如图所示，扇形AOB ，圆心角AOB 的大小等于3π，半径为2，在半径OA 上有一动点C ，过点C 作平行于OB 的直线交弧AB 于点P ． （1）若C 是半径OA 的中点，求线段PC 的大小；（2）设θ=∠COP ，求△POC 面积的最大值及此时θ的值．21．（本题满分14分）本题共有2小题，第1小题满分7分，第2小题满分7分 ．已知函数a x x f +=2)(． （1）若12)()(++=bx x f x F 是偶函数，在定义域上ax x F ≥)(恒成立，求实数a 的取值范围； （2）当1=a 时，令)())(()(x f x f f x λϕ-=，问是否存在实数λ，使)(x ϕ在()1,-∞-上是减函数，在()0,1-上是增函数？如果存在，求出λ的值；如果不存在，请说明理由． 22．（本题满分16分）本题共有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6分.已知点)0,1(A ，1P 、2P 、3P 是平面直角坐标系上的三点，且1AP 、2AP 、3AP 成等差数列，公差为d ，0≠d ．（1）若1P 坐标为()1,1-，2d =，点3P 在直线3180x y --=上时，求点3P 的坐标； （2）已知圆C 的方程是222)3()3(r y x =-+-)0(>r ，过点A 的直线交圆于31P P 、两点，2P 是圆C 上另外一点，求实数d 的取值范围；（3）若1P 、2P 、3P 都在抛物线24y x =上，点2P 的横坐标为3，求证：线段13PP 的垂直平分线与x 轴的交点为一定点，并求该定点的坐标．23．（本题满分18分）本题共有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.已知数列{}n a 的前n 项和为n S ，且满足a a =1 (3≠a )，n n n S a 31+=+，设n n n S b 3-=，*∈N n ．（1）求证：数列{}n b 是等比数列；（2）若1+n a ≥n a ，*∈N n ，求实数a 的最小值； （3）当4=a 时，给出一个新数列{}n e ，其中⎩⎨⎧≥==2,1,3n b n e nn ，设这个新数列的前n 项和为n C ，若n C 可以写成pt (*∈N p t ,且1,1>>p t )的形式，则称n C 为“指数型和”．问{}n C 中的项是否存在“指数型和”，若存在，求出所有“指数型和”；若不存在，请说明理由．四区联考2012学年度第二学期高三数学（文理）参考答案及评分标准 2013.04说明1．本解答列出试题一种或几种解法，如果考生的解法与所列解法不同，可参照解答中评分标准的精神进行评分．2．评阅试卷，应坚持每题评阅到底，不要因为考生的解答中出现错误而中断对该题的评阅．当考生的解答在某一步出现错误，影响了后续部分，但该步以后的解答未改变这一题的内容和难度时，可视影响程度决定后面部分的给分，但是原则上不应超出后面部分应给分数之半，如果有较严重的概念性错误，就不给分．3．第19题至第23题中右端所注的分数，表示考生正确做到这一步应得的该题分数． 4．给分或扣分均以1分为单位．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．]3,1[-； 2．2； 3．34； 4．31≠m ； 5．12-=x y ； 6．1； 7．（文、理）π；8．（文）4（理）5；9．6463；10．17；11．（文）414214=C （理）834334=P ；12．(]1,0；13．（文）(1,)+∞（理）334；14．（文）②③⑤（理）)25,17(． ② 二、选择题（本大题满分20分）本大题共有4题，每题有且只有一个正确答案，考生应在答案纸的相应编号上，填上正确的答案，选对得5分，否则一律得零分. 15． D ； 16．（文）B （理）A ； 17． B ；18．（文）C （理）A三、解答题（本大题满分74分）本大题共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）本题共有2小题，第1小题满分5分，第2小题满分7分 ．(文)解：（1）如图正四棱锥底面的边长是5.1米，高是85.0米sh V 31=36375.085.05.15.131m =⨯⨯⨯= 所以这个四棱锥冷水塔的容积是36375.0m ． (2)如图，取底面边长的中点E ，连接SE ，222275.085.0+=+=EO SO SESE ⨯⨯⨯=5.1214S 侧22240.375.085.05.1214m ≈+⨯⨯⨯=答：制造这个水塔的侧面需要3.40平方米钢板． （理）19．（1）（理）解法一：建立坐标系如图 平面11BCC B 的一个法向量为)0,1,0(1=n 因为)2,1,2(E )0,2,0(C ，)2,1,2(--=∴EC ， 可知直线EC 的一个方向向量为)2,1,2(--=∴d ．设直线EC 与平面11BCC B 成角为θ，d 与1n 所成角为ϕ，则31191cos sin =⨯===ϕθ31arcsinBCC B 11成角大小为与平面故EC19（1）解法二：⊥1EB 平面11BCC B ，即C B 1为EC 在平面11BCC B 内的射影，故1ECB ∠为直线EC 与平面11BCC B 所成角，在C EB Rt 1∆中，22,1EB 11==C B ,42221tan 111===∠C B EB ECB 故 42arctanBCC B 11成角大小为与平面故EC 19（2）（理科）解法一：建立坐标系如图．平面ABCD 的一个法向量为)1,0,0(1=n设平面AEF 的一个法向量为),,(2z y x n =，因为)0,1,2(-=AF ，)2,1,0(=AE 所以⎩⎨⎧=+=+-0202z y y x ，令1=x ，则1,2-==z y )1,2,1(2-=⇒n661411cos =++-==θ由图知二面角B AF E --为锐二面角，故其大小为66arccos．19（2）解法二：过E 作平面ABC 的垂线，垂足为E '，E EG '∠即为所求AB E ∈'，过E '作AF 的垂线设垂足为G ，ADF ∆∽AGE ∆521='⇒=''E G AF AD E A E G 即52='E G在Q E E Rt '∆中5tan =''='∠E G E E E EG所以二面角B AF E --的大小为5arctan ．20．（本题满分14分）本题共有2小题，第1小题满分6分，第2小题满分8分 ．解:（1）在△POC 中，32π=∠OCP ，1,2==OC OP 由32cos 2222πPC OC PC OC OP ⋅-+=得032=-+PC PC ，解得2131+-=PC ． （2）∵CP ∥OB ，∴θπ-=∠=∠3POB CPO ，在△POC 中，由正弦定理得θsin sin CPPCO OP =∠，即θπsin 32sin 2CP = ∴θsin 34=CP ,又32sin )3sin(πθπCP OC =-)3sin(34θπ-=∴OC ． （文）记△POC 的周长为)(θC ，则2)3sin(34sin 342)(+-+=++=θπθθOC CP C1sin 22223πθθθ⎛⎫⎛⎫++=++⎪ ⎪⎪⎝⎭⎭∴6πθ=时，)(θC2+. （理）解法一：记△POC 的面积为)(θS ，则32sin 21)(πθOC CP S ⋅=， 23)3sin(34sin 3421⨯-⋅⋅=θπθ)3sin(sin 34θπθ-⋅= )sin 21cos 23(sin 34θθθ-=θθθ2sin 32cos sin 2-=332cos 332sin -+=θθ33)62(sin 332-+=πθ∴6πθ=时，)(θS 取得最大值为33. 解法二：212432cos 22-=⋅-+=PC OC PC OC π即422=⋅++PC OC PC OC ，又PC OC PC OC PC OC ⋅≥⋅++322即43≤⋅PC OC当且仅当PC OC =时等号成立, 所以3323342132sin 21=⨯⨯≤⋅=πOC CP SPC OC = ∴6πθ=时，)(θS 取得最大值为33. 21．（本题满分14分）本题共有2小题，第1小题满分6分，第2小题满分8分 ． （文）解：(1)依题意，32=a ，)0,32(C ，由221124x y y x ⎧+=⎪⎨⎪=⎩，得y =设),(11y x A ),(22y x B ，32=OC∴63232212121=⨯⨯=-⋅=∆y y OC S ABC ； (2)如图，由2221124y kx x y =+⎧⎪⎨+=⎪⎩得22(31)120k x kx ++=，0)12(2≥=∆k 依题意，0k ≠，设1122()()P x y Q x y ，，，，线段PQ 的中点00()H x y ，，则12026231x x k x k +-==+，0022231y kx k =+=+，D (0 2)-，，由1-=⋅PQ D H k k ，得2222311631k k k k ++⋅=--+，∴3k =±（理）解:（1）12)(2+++=bx a x x F 是偶函数，0=∴b即2)(2++=a x x F ，R x ∈ 又ax x F ≥)(恒成立即2)1(222+≤-⇒≥++x x a ax a x 当1=x 时R a ∈⇒当1>x 时，213)1(122+-+-=-+≤x x x x a ，232+≤a当1<x 时，213)1(122+-+-=-+≥x x x x a ， 232+-≥a综上： 232232+≤≤+-a （2）)())(()(x f x f f x λϕ-=)2()2(24λλ-+-+=x x)(x ϕ∴是偶函数，要使)(x ϕ在()1,-∞-上是减函数在()0,1-上是增函数，即)(x ϕ只要满足在区间()+∞,1上是增函数在()1,0上是减函数．令2x t =，当()1,0∈x 时()1,0∈t ；()+∞∈,1x 时()+∞∈,1t ，由于()+∞∈,0x 时，2x t =是增函数记)2()2()()(2λλϕ-+-+==t t t H x ，故)(x ϕ与)(t H 在区间()+∞,0上有相同的增减性，当二次函数)2()2()(2λλ-+-+=t t t H 在区间()+∞,1上是增函数在()1,0上是减函数，其对称轴方程为1=t 4122=⇒=--⇒λλ．22．（本题满分16分）本题共有3个小题，第1小题满分4分，第2小题满分6分，第3小题满分6分.（文）解:（1）a a ax x x f f y +++==2242))(( 过原点，02=+a a10-==⇒a a 或 得2)(x x f =或1)(2-=x x f(2)(3)同理21（理）解（1）11AP =，所以35AP =，设()3,Px y 则()221253180x y x y ⎧-+=⎪⎨--=⎪⎩，消去y ，得211300x x -+=，…（2分） 解得15x =，26x =,所以3P 的坐标为()5,3-或()6,0（2）由题意可知点A 到圆心的距离为13)03()13(22=-+-=t …（6分）（ⅰ）当130<<r 时，点()1,0A 在圆上或圆外，31132P P AP AP d =-=， 又已知0≠d ，r P P 2031≤≤，所以 0<≤-d r 或 r d ≤<0 （ⅱ）当13≥r 时，点()1,0A 在圆内，所以13213132max=--+=r r d，又已知0≠d ，13220≤<d ，即013<≤-d 或130≤<d结论：当130<<r 时，0<≤-d r 或 r d ≤<0；当13≥r 时，013<≤-d 或130≤<d（3）因为抛物线方程为x y 42=，所以()1,0A 是它的焦点坐标，点2P 的横坐标为3，即82=AP设()111,P x y ，()333,P x y ，则111+=x AP ，133+=x AP ，1322AP AP AP +=， 所以13226x x x +==直线13PP 的斜率3131314y y k x x y y -==-+，则线段13PP 的垂直平分线l 的斜率314l y y k +=-则线段13PP 的垂直平分线l 的方程为()3131324y y y yy x ++-=-- 直线l 与x 轴的交点为定点()5,023．（本题满分18分）本题共有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.（文）解：（1）令1=n 得321112⋅+=⋅a a ，即3212=-a a ； 又21=a 382=⇒a （2）由3212=-a a 和⎪⎪⎩⎪⎪⎨⎧-+=-++=-+3)1()1(,3)1(11n n S a n n n S na n n nn32)1(1na a n na n n n +=--⇒+321=-⇒+n n a a ，所以数列}{n a 是以2为首项，32为公差的等差数列，所以)2(32+=n a n ． 解法一：数列}{n a 是正项递增等差数列，故数列}{n k a 的公比1>q ，若22=k ，则由382=a 得3412==a a q ，此时932)34(223=⋅=k a ，由)2(32932+=n 解得*310N n ∉=，所以22>k ，同理32>k ；若42=k ，则由44=a 得2=q ，此时122-⋅=n k n a 组成等比数列，所以)2(32221+=⋅-m n ，2231+=⋅-m n ，对任何正整数n ，只要取2231-⋅=-n m ，即n k a 是数列}{n a 的第2231-⋅-n 项．最小的公比2=q ．所以2231-⋅=-n n k ．………（10分）解法二: 数列}{n a 是正项递增等差数列，故数列}{n k a 的公比1>q ，设存在,,,,21n k k k a a a )(21 <<<<n k k k 组成的数列}{n k a 是等比数列，则3122k k k a a a ⋅=，即()()232)2(322)2(32322322+=+⇒+⨯=⎥⎦⎤⎢⎣⎡+k k k k 因为1*232>∈k N k k 且、所以22+k 必有因数3，即可设N t t t k ∈≥=+,2,322，当数列}{n k a 的公比q 最小时，即42=k ，2=⇒q 最小的公比2=q ．所以2231-⋅=-n n k ． （3）由（2）可得从}{n a 中抽出部分项 ,,,,21n k k k a a a )(21 <<<<n k k k 组成的数列}{n k a 是等比数列，其中11=k ，那么}{n k a 的公比是322+=k q ，其中由解法二可得N t t t k ∈≥-=,2,232．)2(32)32(312+=+⋅=-n n k k k a n 2)32(312-+⋅=⇒-n n k k 2)3223(31-+-⋅=⇒-n n t k 231-⋅=⇒-n n t k ，N t t ∈≥,2所以3232)1(31221--⋅=-++++=+++-n t n tt t k k k n n n（理）解：（1）⇒+=+n n n S a 31nn n S S 321+=+，n n n S b 3-=，*∈N n ，当3≠a 时，1111323333n n n n n n n nn n n b S S b S S ++++-+-==--=2，所以{}n b 为等比数列． 3311-=-=a S b ，12)3(-⨯-=n n a b ． （2） 由（1）可得12)3(3-⨯-=-n n n a S*-∈≥-=N n n S S a n n n ,2,1212)3(3221≥=⎩⎨⎧⨯-+⨯=--n n a a a n n n ； n n a a ≥+1，2112>⎩⎨⎧>>+n a a a a n n ，9-≥a 所以9-≥a ，且3≠a ．所以a 的最小值为 （3）由（1）当4=a 时，12-=n n b当2≥n 时，n n C 2423++++= 12+=n，31=C ，所以对正整数n 都有12+=n n C ． 由12+=n pt，n p t 21=-，(*∈N p t ,且1,1>>p t )，t 只能是不小于3的奇数．①当p 为偶数时，n p p pt t t 2)1)(1(122=-+=-，因为12+p t和12-p t 都是大于1的正整数，所以存在正整数h g ,，使得gp t 212=+，h p t 212=-，222=-h g ,2)12(2=--h g h ，所以22=h 且112=--h g 2,1==⇒g h ，相应的3=n ，即有233=C ，3C 为“指数型和”；②当p 为奇数时，)1)(1(112-++++-=-p p t t t t t ，由于121-++++p t t t 是p 个奇数之和，仍为奇数，又1-t 为正偶数，所以n p t t t t 2)1)(1(12=++++-- 不成立，此时没有“指数型和”．。

2013年普通⾼等学校招⽣全国统⼀考试（上海卷）政治试题（解析版）2013年普通⾼等学校招⽣全国统⼀考试（上海卷）政治试题⼀、单项选择题（共90分，每题3分。

每题只能选⼀个选项。

）1.国家性质即国体，是指（）A.各政党在国家中所处的地位B.各国家机关在国家中所处的地位C.社会各阶级在国家中所处的地位D.各社会组织在国家中所处的地位2.为推动⽣态⽂明建设，全国政协通过调研视察等⽅式建⾔献策，提出资源有偿使⽤、综合治理城市⼤⽓污染等建议，被有关部门采纳。

这是全国政协在履⾏（）A.政治协商职能B.公共服务职能C.参政议政职能D.社会管理职能3.在城乡社区治理、基层公共事务和公益事业中，实⾏群众⾃我管理、⾃我服务、⾃我教育、⾃我监督，是⼈民依法直接⾏使民主权利的重要⽅式。

这种⽅式（）①增强了⼈民群众的民主意识②提⾼了⼈民群众的民主素质③提升了政府直接管理社区的能⼒④更好地保障了⼈民群众最直接的利益A. ①②③B. ①②④C. ①③④D. ②③④4.民事诉讼法规定，公众可以查阅发⽣法律效⼒的裁定书、判决书，但涉及国家秘密、商业秘密和个⼈隐私的内容除外。

公众可以查阅裁判⽂书有助于⼈民法院（）A.接受社会监督，促进司法公正B.增强公诉能⼒，保护公众权益C.提升侦查⽔平，确保办案质量D.提⾼⽴法⽔平，维护法律尊严5.上海市政府从今年起全⾯推⼴家庭医⽣制度，到2020年之前，基本实现每个家庭与⼀名家庭医⽣签约的⽬标。

上海市政府推⼴家庭医⽣制度的做法能够…………（）①逐步完善国民健康体系②促进政府决策的民主化③保障市民基本的医疗卫⽣需求④推动建设⼈民满意的服务型政府A. ①②③B. ①②④6.古建筑是城市的记忆，也是现代城市的时尚之源。

就上海市打造“世界第六时尚之都”，市民⼩张提出⼀个保护本市古建筑的⽅案。

他可以（）①向相关⾏政部门递交⽅案②投寄新闻媒体发表⽅案③旁听市“两会”时提出相关议案④通过⼈⼤代表向⼈⼤转交⽅案A. ①②③B. ①②④C. ①③④D. ②③④7.近年来，⼈民群众通过各种形式检举违法违纪政府官员。