2014 重庆专升本练习题 精编

2014年重庆专升本语文答案1、下面对《红楼梦》主题理解最恰当的一项是( ) [单选题] *A.小说以贾、史、王、薛四大家族的兴衰为背景，以封建叛逆者贾宝玉、林黛玉的爱情悲剧为线索，反映了封建社会末期腐败、罪恶的社会现象和各种尖锐的社会矛盾。

揭示了我国封建社会走向衰亡的历史趋势。

(正确答案)B.小说通过贾府由极盛到衰败的过程，表现富贵如过眼云烟、万事转头空的哲理。

C.《红楼梦》通过描绘一批纯洁少女的悲惨遭遇，揭示了封建社会妇女的苦难，表现了红颜薄命的普遍现象。

D.《红楼梦》通过贾府由盛转衰，再归复崛起的叙述，真实地表现了世间万物“物极必反”的朴素真理。

2、1“静女其姝，俟我于城隅”一句表现了小伙子焦急万分的心情。

[判断题] *对(正确答案)错3、下列选项中加着重号字注音正确的一项是（）[单选题] *A、脉脉mò颤动zhàn 乘凉chéng独处chǔB、酣睡hān 参差cī袅娜nuó蓊蓊郁郁wěng(正确答案)C、点缀zhuì倩影qiàn 幽僻bì梵婀玲fánD、惦着diàn羞涩sè宛然wǎn 踱着步dù4、1白居易，字乐天，号香山居士，是唐代伟大的浪漫主义诗人。

[判断题] *对(正确答案)错5、1“羽扇纶巾，谈笑间”的下一句是“一时多少豪杰”。

[判断题] *对(正确答案)错6、25．下列词语中加点字的读音，全都正确的一组是（）[单选题] *A．妯娌（zhóu）酒肆（sì）镌刻（juān）暴风骤雨（zhòu）(正确答案)B．狡黠（xié）挟持（xié）胡髭（zī）惨绝人寰（yuán）C．燥热（cào）翘首（qiào）嶙峋（xún）言不由衷（zhōng）D．私塾（shú）遁形（dùn）糜子（mí）日夜不辍（zhuì）7、1《雨霖铃》是豪放词的代表作。

2014年重庆市普通高等学校招生对口高职类统一考试英语试题一、单词辨音（共10小题，每小题1.5分，共15分）从下面每小题ABCD四个选项中选出划线部分的读音与其他三个单词划线部分读音不同的一个词。

1. A. name B. take C. game D. bag2. A. she B. get C. bed D. egg3. A. nine B. nice C. milk D. like4. A. home B. close C. box D. cold5. A. this B. think C. there D. they6. A. what B. why C. when D. whole7. A. food B. flood C. moon D. room8. A. actor B. horse C. short D. born9. A. ready B. bread C. please D. dead10. A. round B. trouble C. sound D. found二、单项选择（共10小题，每题1分，共10分）从每小题的ABCD四个备选答案中，选出一个最佳的答案。

11. You play with fire, Tom. It’s very dangerous.A. needn’tB. may notC. mustn’tD. wouldn’t12. The book is very interesting. I bought it from unknown little town.A. anB. aC. theD. /13. They will win the game they try their best.A. beforeB. butC. sinceD. if14. Which do you like ,tea or coffee?A. wellB. betterC. bestD. good15. ---Don’t make any noise. The baby .A. sleepsB. sleptC. is sleepingD. was sleeping16. Frank’s mom won’t let him his own decision.A. makingB. madeC. to makeD. make17. You should not so soon. Keep trying and you’ll succeed one day.A. give offB. give upC. give awayD. give out18. We had two English classes Tuesday.A. inB. forC. atD. on19. I can’t understand .A. what you meanB. you mean whatC. what do you meanD. you what mean20. ---It is a fine day. How about going swimming?--- .A. You are welcomeB. See you soon.C. Good idea!D. Thank you very much!三、交际应用（共10小题，每题2分，共20分）用所给句子完成下面两段对话，选项中有两项为多余选项。

重庆语文专升本试题及答案一、选择题（每题2分，共20分）1. 下列词语中，全部使用正确的一组是：A. 张皇失措风声鹤唳一愁莫展B. 一诺千金金榜提名一视同仁C. 一筹莫展一诺千金一视同仁D. 张皇失措一诺千金一视同仁2. 下列句子中，没有语病的一句是：A. 经过大家的共同努力，我们终于完成了这项艰巨的任务。

B. 他不仅学习好，而且品德高尚，是我们学习的榜样。

C. 由于天气原因，比赛被推迟了。

D. 老师耐心地给我们讲解了这个问题。

3. 下列关于文学常识的表述，不正确的一项是：A. 《红楼梦》的作者是曹雪芹，是中国古典小说的巅峰之作。

B. 《诗经》是我国最早的一部诗歌总集，分为“风”、“雅”、“颂”三部分。

C. 鲁迅是中国现代文学的奠基人，代表作有《呐喊》、《彷徨》等。

D. 《水浒传》是明代施耐庵所著，反映了农民起义的壮丽画卷。

4-20. （略）二、填空题（每空1分，共10分）1. “但愿人长久，千里共婵娟”出自宋代词人______的《水调歌头》。

2. “落霞与孤鹜齐飞，秋水共长天一色”是唐代诗人______的《滕王阁序》中的名句。

3. 《史记》是我国古代的一部纪传体史书，由西汉史学家______所著。

4. 《西游记》中的孙悟空，因大闹天宫被压在______山下。

5. “不以物喜，不以己悲”出自唐代文学家______的《岳阳楼记》。

三、阅读理解（每题5分，共20分）阅读下面的文言文，回答问题。

（文言文材料略）1. 请解释文中“窈窕”一词的含义。

2. 文中“君子”一词在古代文化中通常指代什么？3. 作者通过这篇文章想要传达什么样的思想？4. 请简述文中所描述的景象。

四、作文（40分）根据以下材料，写一篇不少于800字的议论文。

材料：（材料内容略）要求：1. 请围绕材料内容，自选角度，自拟题目。

2. 观点明确，论据充分，论证合理。

3. 语言流畅，结构清晰，逻辑严密。

五、答案解析1. C2. A3. D4-20. （答案略）二、填空题答案：1. 苏轼2. 王勃3. 司马迁4. 五指5. 范仲淹三、阅读理解答案：1. “窈窕”在文中指的是女子体态轻盈、举止优雅。

重庆市 2014 年普通高校专升本统一选拔考试《大学语文》试题一、单选（本大题共30小题，每小题1分，共30分。

)1.我国古代文学作品中最长的抒情诗是( )A.《再别康桥》B.《前赤壁赋》C.《离骚》D.《归园田居》2.欧阳修的《五代史伶官传序》一文里“原庄宗之所以得天下”中“原”的意思是（）A.原来B.推究C.原因D.以前3.唐朝诗人王维的《山居秋暝》是一首（）A.乐府古题诗B.五言律诗C.七言律诗D.五言绝句4.苏轼《前赤壁赋》里“舞幽壑之潜蛟，泣孤舟之嫠妇”使用的句式是（）A.被动B.宾语前置C.意动D.使动5.张养浩的《山坡羊·潼关怀古》里描写潼关形势时使用的修辞手法是（）A.拟人B.排比C.夸张D.比喻6.李白《宣州谢天楼饯别校书叔云》中描写饯别情景的诗句是（）A.弃我去者，昨日之日不可留B.长风万里送秋雁，对此可以酣高楼C.蓬莱文章建安骨，中间小谢又清发D.人生在世不称意，明朝散发弄偏舟7.下面作家中，既是历史学家又是文学家的是（）A.柳宗元B.陶渊明C.孟郊D.司马迁8.《秋夜》的开篇与结尾，都是（）A.记人寄情B.写景寓情C.状物抒情D.说理言情9.李清照的《声声慢·寻寻觅觅》中描写的是（）A.早春景色B.暮秋景色C.盛夏景色D.初冬景色10.“如曰今日当一切不事事”中“不事事”的意思是（）A.每件事B.两件事C.不做事D.不好的事11.下列各句中有宾语前置的句子是（）A.相如张目叱之，左右皆靡B.不患人之不己知C.日思高其位、大其禄，而贪取滋甚D.度义而后动，是而不见可悔故也12.唐朝诗人中，以风格“沉郁顿挫”著称的是（）A.李白B.王昌龄C.王维D.杜甫13.《廉颇蔺相如列传》中，详细记叙的事件是（）A.廉颇伐齐取阳晋B.渑池之会C.秦、赵设兵对峙D.楚人和氏以璧予赵王14.下列文章中，运用对比手法的是（）A.《哭小弟》B.《现在自然科学中的基础科学》C.《秋夜》D.《箱子岩》15.下列作家中，与韩愈同为中唐古文运动倡导的是（ )A.白居易B.魏征C.柳宗元D.孟郊16.下列各句中“以”可翻译为“凭”、“靠”的是（）A.以勇气闻于诸侯B.愿以十五城请易璧C .秦亦不以城予赵 D.臣窃以为其人勇士17.“学而不厌，诲人不倦”一语出自（）A. 《寓言二则·蝜蝂传》B.《诗经·氓》C.大学·经一章》D.论语·述而》18.《现在自然科学中的基础学科》一文中有这样一句话：“还有一种星，名叫‘黑洞’，其实不是洞，是光出不来的星。

普通高等学校招生全国统一考试（重庆卷）一、（本大题共4小题，每小题3分，共12分）1．下列词语中，字形和加点字的读音全都正确的一项是() A．屋檐下绿草如茵刀把．子bà相．机行事xiànɡB．势利眼卑躬屈膝撒．大网sǎ博闻强识．zhìC．一溜烟通货膨胀狙．击手jū蓦．然回首mùD．辨证法中流砥柱沏．茶喝qī杀一儆．百jǐnɡ答案：A。

2．依次填入下列横线处的词语，最恰当的一组是()①再全面的维生素补充剂对健康的弥补作用也不能________膳食结构不合理带来的损害。

想要保持健康，更重要的是维持饮食的平衡以及适度运动。

②在自然环境中怎样才能________病虫害的侵袭呢？与松树共生，就是杨树通过长期自然演化选择的一种自我保护方式。

③有些人严重缺乏安全感，他们把说谎作为一种自我________手段，总是下意识地保护自己，不愿自己的任何行为和心思被人知道。

④现实生活中没有法外之地，互联网同样没有。

查处淫秽网站，________网络暴力，是净化网络环境的需要，更是建立法治社会的需要。

A．抵制抵消防御抵御B．抵消抵御防御抵制C．抵制防御抵御抵消D．抵消抵制抵御防御答案：B。

3．依次填入下边一段话中横线处的语句，与上下文衔接最恰当的一组是() 乐观的人看见问题后面的机会，________。

机会从来不会主动敲响你的门，无论你等待多少年，________。

朝着既定目标前进，________。

①悲观的人则看见机会后面的问题②悲观的人只看见机会后面的问题③它只如一阵风拂面而过，需要你有反应能力和追随速度④需要你有反应能力和追随速度，它只如一阵风拂面而过⑤你就会发现机会的存在，充分发挥你的潜能⑥尽量发挥你的潜能，你就会发现机会的存在A．①④⑥B．②④⑤C．①③⑤D．②③⑥答案：D。

4．下列选项中，标点符号使用不正确．．．的一项是() A．中国重庆——德国杜伊斯堡，2011年开通的渝新欧铁路，横跨欧亚6国，为建立新丝绸之路经济带打下了基础。

2014年专升本（高等数学一）真题试卷(题后含答案及解析)题型有：1. 选择题 2. 填空题 3. 解答题选择题1．( )A．e2B．e1C．eD．e2正确答案：D2．设y=e-5x，则dy=( )A．-5e2-5xdxB．-e-5xdxC．e-5xdxD．5e-5xdx正确答案：A3．设函数f(x)=xsinx，则( )A．B．1C．D．2π正确答案：B4．设函数f(x)在[a，b]连续，在(a，b)可导，f’(x)＞0，若f(a).f(b)＜0，则y=f’(x)在(a，b)( )A．不存在零点B．存在唯一零点C．存在极大值点D．存在极小值点正确答案：B5．∫x2ex3dx=( )A．B．3x2ex3+CC．D．3ex3+C正确答案：C6．∫-11(3x2+sin5x)dx=( )A．-2B．-1C．1D．2正确答案：D7．∫1+∞e-xdx=( )A．-eB．-e-1C．e-1D．e正确答案：C8．设二元函数z=x2y+xsiny，则=( )A．2xy+sinyB．x2+xcosyC．2xy+xsinyD．x2y+siny正确答案：A9．设二元函数z==( ) A．1B．2C．x2+y2D．正确答案：A10．设球面方程为(x-1)2+(y+2)2+(z-3)2=4，则该球的球心坐标与半径分别为( )A．(-1，2，-3)；2B．(-1，2，-3)；4C．(1，-2，3)；2D．(1，-2，3)；4正确答案：C填空题11．设=3，则a=________。

正确答案：12．曲线的铅直渐近线方程为________。

正确答案：13．设，则y’=________。

正确答案：14．设函数f(x)=在x=0处连续，则a=________。

正确答案：315．曲线y=xcosx在点(0，1)处的切线的斜率k=________。

正确答案：116．=________。

正确答案：17．设函数f(x)=∫0xet2，则f’(0)=________。

专升本招生考试英语试题及参考答案（仅供练习）Ⅰ. PhoneticsDirections: In each of the following groups of words, there are four underlined letters or letter combinations marked A, B, C and D. Compare the underlined parts and identify the one that is different from the others in pronunciation.1. A. pattern B. package C. palace D. parade2. A. prescription B. observation C. preserve D. deserve3. A. nowhere B. nuclear C. declare D. millionaire4. A. double B. found C. doubt D. southwest5. A. subway B. relay C. survey D. turkeyⅡ. Vocabulary and StructureDirections: There are 15 incomplete sentences in this section. For each sentence there are four choices marked A, B, C and D. Choose one answer that best completes the sentence.you satisfied with her work, sir?--Not at all. It couldn't be any ______.A. betterB. bestC. worseD. worst7. He is not a stranger for me. I have met him on several ______.A. situationsB. environmentsC. occasionsD. positions8. We had borrowed two VCDs but didn't have time to watch ______ of them.A. someB. eitherC. allD. neither9. Some urgent business has ______ , which will take up the whole morning.A. turned upB. run upC. mixed upD. filled up10. This disease is second only ______ heart attack as a cause of death all over the world.A. toB. ofC. withD. from11. Allen ______ any good job since he came to New York City two years ago.A. doesn't findB. hasn't foundC. didn't findD. hadn't found12. The house, ______ was completed in 1856,was famous for its huge marble staircase.A. whereB. thatC. whatD. which13. --I'm afraid I have to go now, Jim.--I’d rather you ______ go alone. It's already too late.A. don'tB. didn'tC. wouldn'tD. shouldn't14. The profit-sharing plan is designed to ______ the staff to work hard.A. arouseB. exciteC. motivateD. assist15. This is ______ for ten of us to sit at. Please get us a larger one.A. too small a tableB. a too small tableC. a such small tableD. such small a table16. Air pollution ,together with littering, ______ many problems in our large industrial cities today.A. cause.B. causedC. causesD. causing17. The deadline for the job is the end of the month, ______ we can't get it done on time?A. What ifB. How ifC. Only ifD. Even if18. If you're looking for a fully-furnished room to rent, I think there's a(n) ______ apartment in my building.A. emptyB. bareC. vacantD. free19. He is already an hour late. I don't think he will come, ______ ?A. do IB. will heC. Won't heD. don't I20. The manager promised to keep me ______ how our business was going on.A. informingB. informedC. to informD. to be informedⅣ. Reading ComprehensionDirections: There are five reading passages in this part. Each passage is followed by four questions. For each question there are four suggested answers marked A, B, C and D. Choose one best answer.Passage OneOne of the most interesting experiments in electronic communicationI've ever seen is coming from Wave. It's real-time e-mail. What that means is that as you're typing a message in Wave, either a new message or a reply, the person you’re writing to can see what you're typing as you type it. Sounds awful, right?You don’t have to use Wave in this real-time way. It also works as a standard e-mail. What’s really different about Wave is that ifyou’re replying to a message and the person you're replying to happen to be online, they can jump into the conversation at that point, and change what is an e-mail conversation into an instant message conversation or a chat.Wave right now is still closed to most users. And Wave isn't yet connected to other communication systems, like regular e-mail, which means that the only people we can Wave with are other people on Wave as well. So we don’t yet know what using Wave will be like once it gets crowded like e-mail. Also, the technology behind Wave is far more demanding on servers and the Internet itself than regular e-mail or chat, so we don’t know if the technology will work at scale.But Wave really is a current re-think of e-mail. A lot of people won’t like it. A lot of people didn’t like e-mail either when it first showed up. But people will find real uses for Wave or whatever it becomes, and it's one of the most interesting new takes oncommunication. Even if you don't like it, it will make you think differently about e-mail.36. What is special about Wave?A. It makes people see each other online.B. It enables people to send real-time e-mails.C. It allows you to send more e-mails at the same time.D. It can be easily connected to other communication systems.37. It is uncertain that Wave will work on a large scale because______.A. people cannot find practical uses for itB. it will be a challenge to regular e-mailC. the technology it needs is more complicatedD. many people do not understand how it works38. We know from the last paragraph that ______.A. Wave is a basis for face-to-face communication on lineB. Wave allows people to look at e-mail from a new angleC. most Internet users will have access to WaveD. Wave is now as popular as standard e-mail39. What is the author's attitude toward Wave?A. Optimistic.B. Indifferent.C. Pessimistic.D. Critical.Passage TwoWell, it could not have got better for young Kavya Shivashankar, a13-year-old student from Olathe, Kansas as she came out very successfully at the Scripps National Spelling Bee 2009 (2009全美拼写大赛). On Thursday night she defeated the other 11 finalists to win the 82nd Scripps National Spelling Bee, taking home more than $40,000 cash money along with other prizes.Kavya Shivashankar, whose parents migrated to the United States from India, and who aims to become a doctor, enjoys playing the violin, bicycling, swimming and learning Indian classical dance.Thing came a bit late in Kavya’s life since she could win the championship with her fourth appearance in the competition. The last three times when she had taken part in the same competition she had finished Tenth, Eighth and Fourth.However, this time Kavya proved her courage and determination by winning the title she had been competing for so long. Her last challenge was to spell out " Laodicean". The word" Laodieean" means one who is indifferent, mostly in religious matters. She spelled it correctly and a big smile appeared on her face. Kavya wrote the words on her palm each time and spelled every word correctly.After winning Kavya exelaimed," I can’t believe it happened It feels kind of unreal. " Her family was there to support her through the competition. Her father, Mirle Shivashankar said, "The competitiveness is in her.., but she doesn’t show that. She stillhas that smile. That’s her quality. " He went on to say that this was" the moment" they had been waiting for so long. It was like" a dream come true" for them.40. Who is Kavya Shivashankar?A. One of the 11 finalists at the spelling competition.B. A 13-year-old girl planning to become a star dancer.C. Champion of the Scripps National Spelling Bee 2009.D. An Indian girl enjoying playing various musical instruments.41. The second time Kavya took part in the same competition, she took the ______ place.A. thirdB. fourthC. eighthD. tenth42. Before spelling out the last word "Laodicean", Kavya ______.A. wrote it down in her handB. hesitated for a momentC. smiled at her fatherD. knew that she could win43. The father’s words show that ______.A. the family needed the prize money to support Kavya's educationB. the family were too worried to be present at the competitionC. Kavya was very good at expressing her feelingsD. Kavya had a strong sense of competitionPassage ThreeNothing says "Happy Birthday!" like having a coin released in your honor by the United States Mint(铸币局), and 2009 has become an especially festive year as the Mint rolled out nine different coinsin honor of Abraham Lincoln’s 200th birthday.Four pennies with new designs on the reverse side were issuedstarting February 12. The image of a cabin represents his birthplace. Because Lincoln’s family was poor, and no one could have predicted his later importance, the actual cabin is long gone. Therefore the design is based on the "symbolic cabin" displayed at the Abraham Lincoln Birthplace National Historic Site in Kentucky.The other designs show Abraham taking a break to read a book, the young lawyer Lincoln in front of the Illinois state capitol and a Lincoln-free image of the half finished U. S. Capitol dome as it looked during his time in office. These four coins-produced with today’s standard mix of percent zinc and percent copper-are intended for general circulation.The Mint also released five collectible coins that sell for more than their face value. Special editions of the four penny designs were produced with the metal content used in 1909 ; a mix of 95 percent copper and 5 percent tin and zinc. In addition, in the world of "bigger" money,2009 has brought the Lincoln Commemorative One-Dollar Coin-made up of 90 percent silver and 10 percent copper-with an image that has a Gettysburg Address theme.44. What does Paragraph 2 tell about the cabin on the coins?A. It is a symbolic cabin rebuilt in Kentucky.B. It is newly built for producing new coins.C. It has been protected well for over 200 years.D. It is exactly the one where Lincoln was born.45. Special editions of the 4 collectible coins ______.A. are made of copper and silverB. sell at a price same as their face valueC. are likely to be used for circulation in the futureD. have different metal content from the one-dollar coin46. The one-dollar coin has a design of ______ on it.A. a cabinB. Abraham readingC. the Illinois state capitolD. the Gettysburg Address theme47. What is probably the best title for the passage?A. Abraham Lincoln’s 200th BirthdayB. Coins Issued with Metal Content in 1909C. Coins in Honor of Abraham LincolnD. Collectible Coins for Abraham LincolnPassage FourLaura and Anthony Valois are a young New York couple who have been trying in vain to have their first child. Several years ago, Belinda Ramirez read an Internet adoption listing and quickly contacted them from her home in Texas ,telling them they could adopt her unborn baby. Excited, Laura and Anthony spent weeks communicating with Ramirez and got regular updates on her pregnancy.Before long, Ramirez began to ask them for financial support. That took the Valoises by surprise. But they were willing to do a lot to ensure a smooth birth. They sent more than $1,000 to Ramirez over several months.Laura and Anthony finally drove to Texas so they could be on hand for the birth. But once they arrived,Ramirez avoided their daily phone calls. After three weeks, the couple drove back to New Yorkemptyhanded and emotionally crushed.They later learned Ramirez had been cheating about ten other peoplefor such things as Wal-mart gift cards in states ranging from California to Ohio to Florida. From start to finish, it was a scam.In fact, Ramirez was never even pregnant. She was sentenced to 24 months in prison as she deserved." When you find out you can’t have children, it’s just depressing, " Laura Valois told a Texas TV station. " But when somebody intentionally does this to you, it's 15 times worse. "48. What has been troubling the Valoises?A. They lost their first child in an accident.B. No one responded to their adoption demand.C. They have been trying to have a child but failed.D. They are not qualified to adopt a child.49. The couple were excited because ______.A. several babies were available for adoptionB. an adoption agency in Texas contacted themC. their name was put in an Internet adoption listingD. a woman offered them her unborn baby for adoption50. The underlined word "scare" in Paragraph 4 is closest in meaning to ______.A. jokeB. gameC. kidnapD. cheat51. What was depressing for the couple according to Laura?A. They didn't have time to meet Ramirez.B. Ramirez caused them a financial loss of $1,000.C. Their eagerness to have a child was taken advantage of.D. Ramirez committed many crimes before she was caught.Passage FiveDoctors say anger can be an extremely damaging emotion, unless you learn how to deal with it . They warn that angry hostile feelings can lead to heart disease, stomach problems, headaches, emotional problems and possible cancer.Anger is a normal emotion that we all feel from time to time. Some people express anger openly in a calm reasonable way. Others explode with anger, and yell. But other people keep their anger inside. They can not or will not express it. This is called repressing(压制) anger. For years many doctors thought that compared with expressing anger, repressing anger was more dangerous to a person’s health. It may speed the heart rate, raise blood pressure or sugar into the blood and narrow the blood vessels. To avoid these problems, doctors thought a person should let the anger out by expressing it freely. But recently some doctors disputed this. They said that people who express anger repeatedly and explosively did cause, in fact, more and not less anger. They said these too can cause medical problems.Some doctors say that both repressing and expressing anger can be dangerous. Expressing anger intensively may be more likely to develop heart disease, and keeping anger inside may face a greater danger of high blood pressure. Doctors say the solution is learning how to deal with anger. They say the first step is to admit that you are angry and to recognize the real cause of the anger, then decide if the cause is serious enough to get angry about. If it isn’t, they say," Don’t express your anger while angry. Wait until your anger has cooled down and you are able to express yourself calmly and reasonably. "Doctors say that a good way to deal with anger is to find humor in the situation that has made you angry. They said that laughter is much healthier than anger.52. The passage mainly focuses on ______.A. the causes of angerB. the medical treatment of angerC. the health problems caused by angerD. reasonable ways of dealing with anger53. It can be concluded from the passage that ______.A. keeping anger inside is better than expressing it intensivelyB. both repressing and expressing anger cause health problemsC. keeping anger inside is more likely to cause heart diseaseD. expressing anger freely can avoid medical problems54. The author of the passage is most probably a(n) ______.A. patientB. editorC. psychologistD. surgeon55. According to the passage, a good way to control anger is ______.A. to do sportsB. to be high-spiritedC. to turn it into laughterD. to discuss it with doctorsⅥ. WritingDirections: For this part, you are supposed to write a letter in English in 100-120 words based on the following situation. Remember to write it clearly.61. 你( Li Yuan) 刚收到购的一件商品，但是发现质量有问题，请你写一封投诉信，内容包括：(1) 商品名称、订购时间、地点和价格；(2) 何时发现质量问题、何种质量问题；(3) 你所希望的解决方式。

重庆统招专升本试卷考试科目：政治考试时间：120分钟一、选择题（共60分）1. 马克思主义哲学的核心是（）A.实践B.认识C.辩证法D.历史唯物主义2. 全面深化改革的主要任务是（）A.加快经济发展B.提高人民生活水平C.推进政治体制改革D.加强法制建设3. 社会主义核心价值观的体现形式包括（）A.法律法规B.社会规范C.共识意识D.爱国主义4. 共产党领导人民军队的本质特征是（）A.政治性B.战斗力C.革命性D.现代化5. 党的十九大报告提出了乡村振兴战略的（）重点。

A.产业兴旺B.生态宜居C.乡风文明D.治理有效二、判断题（共40分）1. 共产党员必须坚决拥护和执行党的决定和决策，即使个人认为其不正确也不能不执行。

( )2. 科学立法必须紧密结合实际，贴近人民群众，体现法治原则。

( )3. 社会主义市场经济的前提是政府必须对市场经济加强宏观调控。

( )4. 人类命运共同体是强调国家利益为基础的国际关系新理念。

( )三、问答题（共40分）1. 马克思主义哲学中的基本原理有哪些？（20分）2. 如何加强对社会主义市场经济的监管？（20分）四、论述题（共60分）如何深入推进治理体系和治理能力现代化？（60分）五、材料题（共50分）近年来，我国不断加大“蓝天保卫战”的力度，推行淘汰落后产能、优化能源结构、加强工业污染防治、强化交通运输污染防治等重要措施，大力推进生态文明建设。

请您依据上述材料回答以下问题：1. “蓝天保卫战”是什么？（10分）2. 生态文明建设的主要内容是什么？（20分）3. 请以您的角度分析我国在生态保护方面的现状和面临的问题。

（20分）。

名师密训教材知识点巩固练习题一、单选1.《论语》是儒家经典著作之一，它的体例是（）A.国别体B.纪传体C.叙事体D.语录体2.倡导“己所不欲，勿施于人”的是（）A.孟子B.孔子C.庄子D.司马迁3．被视为儒家道德节操最高境界的孔子语录是（）。

A.君子食无求饱，居无求安B.敏于事而慎于言，就有道而正焉C.学而不厌，诲人不倦D.无求生以害仁，有杀身以成仁4.孔子思想的核心是（）A.礼B.仁C.忠D.信5.下列孔子语录中表明“乐于切磋”的学习乐趣的是（）A.就有道而正焉，可谓好学也已B.三人行，必有我师焉C.有朋自远方来，不亦乐乎D.知之为知之，不知为不知，是知也6.下列孔子语录中强调“实事求是”的学习态度的是（）A. 知之为知之，不知为不知，是知也B.学而不思则罔，思而不学则殆C.岁寒，然后知松柏之后凋也D.学而不厌，诲人不倦，何有于我哉7. 下列孔子语录借以比喻坚贞不屈，坚忍不拔品格的是（）A.人不知而不愠，不亦君子乎B. 岁寒，然后知松柏之后凋也C. 学而不厌，诲人不倦，何有于我哉D.其身正，不令而行，其身不正，虽令不从8.五代十国时期，南唐最后一个皇帝是（）A.赵匡胤B.李璟C.赵光义D.李煜9.李煜《虞美人·春花秋月何时了》中，寓意良辰美景的事物是（）A.春花秋月B.小楼东风C.雕栏玉砌D.一江春水10.“雕栏玉砌应犹在，只是朱颜改”的言外，之意是（）A.美景依旧，人老珠黄B.江山变色，丰润犹存C.国破家亡，孤苦无依D.江山易主，物是人非11.李煜《虞美人·春花秋月何时了》的主旨是（）A.抒写行役之苦，羁旅之愁B.抒写故国之思，亡国之恨C.抒写家破之哀，人亡之痛D.抒写失意之忧，遭贬之悲12.白居易的《赋得古原草送别》是一首（）A.五言古诗B.五言绝句C.五言律诗D.五言杂诗13.主张“文章合为时而著，歌诗合为事而作”的文学家是（）A.王安石B.岑参C.白居易D.苏轼14.《赋得古原草送别》中展现野草生命力顽强的诗句是（）A.离离原上草，一岁一枯荣B.野火烧不尽，春风吹又生C.远芳侵古道，晴翠接荒城D.又送王孙去，萋萋满别情15.下列诗句中，使用了典故的是（）A.一岁一枯荣B.野火烧不尽C.晴翠接荒城D.又送王孙去16.诗句中多用“兮”字的诗体是（）A.诗经B.楚辞C.乐府D.律诗17.我国浪漫主义诗风的源头是（）A.《诗经》B.《楚辞》C.汉乐府诗D.《尚书》18.后人把以“国风”为代表的《诗经》与以《离骚》为代表的《楚辞》并称为（）A.风骚B.楚辞C.韵文D.诗歌19.我国文学史上最长的一首浪漫主义政治诗是（）A.《天问》B.《离骚》C.《国风》D.《九歌》20.《廉颇蔺相如列传》的文体是（）A.小说B.寓言C.散文D.传记21.《廉颇蔺相如列传》选自（）A.《汉书》B.《史记》C.《战国策》D.《左传》22.《廉颇蔺相如列传》中，详细叙述的事件是（）A.廉颇伐齐取阳晋B.渑池之会C.秦、赵设兵对峙D.楚人和氏以璧予赵王23.“吾所以为此者，以先国家之急而后私仇也”中的“先、后”是（）A.使动词B.意动词C.为动词D.被动词24.我国第一部纪传体通史是（）A.《史记》B.《汉书》C.《后汉书》D.《战国策》二、多选题1.《论语》的写作特色有（）A.大量采用民间神话传说B.善于修辞C.文采华丽D.通俗易懂E.具有格言色彩2.先秦时期儒家学派代表人物有（）A.孔子B.老子C.韩非子D.孟子E.荀子3.下列诗歌中属于五言律诗的有（）A.陶渊明的《归园田居》B.王维的《山居秋暝》C.孟郊的《游子吟》D.杜甫的《望岳》E.白居易的《赋得古原草送别》4.下列关于白居易的说法，正确的有（）A.白居易和元稹共同倡导了新乐府运动，因此二人并称“元白”B.白居易字乐天，号香山居士，是晚唐时期的一位大诗人C.白居易主张“文章当有补于世，以适用为本”D.白居易的《赋得古原草送别》是他的成名作E.白居易在写作上遵循平易通俗的写作风格，他揭露权贵，同情百姓，影响深远5.“问君能有几多愁，恰似一江春水向东流”所使用的修辞手法有（）A.比喻B.对偶C.借代D.设问E.夸张名师密训教材知识点巩固练习题一、单选1.《论语》是儒家经典著作之一，它的体例是（）A.国别体B.纪传体C.叙事体D.语录体2.陶渊明生活的朝代是 ( )A.东晋B.六朝C.汉末D.西晋3．被视为儒家道德节操最高境界的孔子语录是（）。

2014年重庆市专升本考试英语模拟试题二Part II Structure (15 minutes)Section A16. The student who receives the highest score ________ a scholarship.A) has been awarded B) is being awarded C) will be awarded D) awards17. We have already spent one week in the village, and we will stay for ________ weeks.A) two other B) other two C) the two other D) another two18. It is not rare in the 21st century that people ________ their forties are going to university for further education.A) at C) in B) with D) on19. Mother has told the boy _____________ not to spit on the floorA) hundreds of times C) hundred timesB) hundred of times D) hundred time20. We know nothing about the program ____________ what is reported in the paper.A) but B) for C) beside D) except21. She was in the kitchen in making a cake ______________ Mary rang the bell.A) while B) when C) since D) as22. She lost her balance and would have fallen if he __________her.A) didn't support C) wouldn't supportB) hadn't supported D) hadn't been supported23. They have invited us to their party; ________________ is very kind of themA) which B) as C) it D) that24. _______________that it was going to rain, they decided to work inside the house.A) Know B) Be knowing C) Knowing D) To know25. 25. The teacher told us that he would take ____________ wanted to go.A) who B) whoever C) whom D) whomeverSection B26. When______________ (complete), the museum will be open to the Public next year.27. I'll see to it that your computer____________ (fix) by a skillful worker.28. Little Tom couldn't help_________ (cry) when he was left behind.29. Mary has finished______ (read) the long yet interesting novel written by the young novelist.30. The newly published English Dictionary is very_________ (use) for college students31. I'd rather he_______ (finish) the task we have assigned him today32. To our disappointment, he failed the exam and__________ (take) it again33. It's_________ (absolute) essential that you should get everything ready before his arrival.34. The magazine is published by the China International Public Relations________ (Associate)35 Many television viewers take him as their________________ (favor) actor.Part III Reading Comprehension (40 minutes)Task lMany sports need the services of one or more referees. You will find, for example, referees in swimming, diving competitions, football, skating, basketball, and tennis, among others. The referee's judgment, no matter what the sport is, can make the difference between winning and losing.When a decision is announced, one can often hear loud cheering from the watchers. Sometimes the people don’t agree with the decision. Usually however, no matter what the people think, the decision of the judge is final. With the instant replay television viewers often get a second chance to watch the special sports moments, Should the camera help the referees in making their decisions? Some people think so. The Japanese have been using the television instant replay in one of their sports for some time.In Japan, where sumo wrestling (相扑) is thought by many to be the national sport, a wrestler named Taiho was trying to break Futabayama's record of 69 victories. in the 46th match, Futabayama was declared the winner by mistake because the judges had not seen the wrestler's foot leave the circle.Soon after the mistake, the people said that they had a right to see the match end with the correct winners since they had paid as much as $375 for a side seat. Now cameras record the actions of the wrestlers. The camera is the most important referee of all. If a man or a woman makes a mistake in judgment, the camera will correct it, and the instant replay will let everyone know it. The right winner will win.36. The passage is mainly aboutA) how wrestling is played in JapanB) using a camera as refereeC) watching matches on televisionD) why sumo wrestling is fun37. In most sports, the refereeA) doesn't count muchB) gets too much payC) can't see all the actionsD) makes the final decision38. According to the passage, a poor decision from the refereeA) Can result in the wrong winnerB) is usually declared invalidC) almost never happensD) will always be found out39 We can tell from the passage that sumo wrestlingA) is played on a race trackB) is formed by teams of nine or tenC) is a contest between two sportsmenD) is very popular in the world40. In the match described in the last two paragraphs, the wrestler Taiho tried toA) win the match quicklyB) help Futabayama winC) cheat the refereeD) break a recordTask2It is chiefly a matter of custom. Our faces, exposed to cold, do get cold, but they do not feel cold because the nerves by which we feel cold are accustomed to this state of affairs and take no notice of it.In face, all nerves act in this way: messages travel along them only when there is a change in the usual condition of the body. We tolerate, without noticing them, certain degrees of cold to which we are accustomed in our face and hands: but we actually feel that our feet are cold if we expose them. Yet people who are accustomed to bare feet feel no more and suffer no more from them than we do from bare hands. On a winter day we may not notice that our noses and eartips(耳垂) are cold, Even when they are quite cold. You soon find that they are if you put a warm hand against them. There is a tremendous difference between being cold and feeling; cold.This law about custom, and the way in which nerves are affected by it, also explains many other things-for Instance, why the country man cannot at first sleep in the town on account of the noise, while the townsman often Cannot sleep in the country on account of the silence. At last, however, the country man gets used to the noise and the townsman gets used to the silence, and both sleep soundly.41. Exposed to cold our faces do not feel cold becauseA) the nerves in the face do not workB) our faces have fewer nervesC) our faces have got used to the coldD) the usual body condition has changed42: When our hands are exposed to coldA) we feel cold at onceB) we may not feel cold at allC) we have to Warm them up at onceD) we do not need to care about them43. From the passage we can learn the degree of cold we can tolerateA) is related to the general weather conditionB) has to do with the place we stay inC) depends on the way our nerves workD) relies on the traveling of coldness along our nerves44. The word "message" in paragraph 1 refers toA) the temperature changeB) the body conditionC) the information about coldD) the conditions of our nerves45. From the passage we know thatA) bare-footed people do not feel cold on a winter dayB) custom plays an important role in our everyday lifeC) our noses are not sensitive to cold at allD) country men do not mind the noise in big citiesTask 3A History of German TechnologyWith the fall of the Berlin Wall in 1989, techno has emerged as a musical style that has defined a reunified Germany.Join us in this unique multimedia (多媒体) presentation which will explore the theories and trends behind the success of this culture.The lecture will be followed by a DJ set which will cover the important styles that emerged41 Germany during the past ten years.Tuesday, April 15, 2004155 Dwinelle Hall Doors open at 5:30 pm6-7 pm - lecture 7-9 pm - DJ setAt UC Berkeley Sponsored by the German DepartmentCome early. Lecture hall seats:450 Lecture will be in EnglishThe Introduction of a New Style MusicBeginning of the new music style: _____46__________Subject of the lecture: to_____47_____the theories and trend behind the success of this Culture Time of the lecture:____48_________Number of seats in the hall: _______49_________Organizer:__________50______________Task 5Ra BarSituated in the heart ofthe City giving a fantastic (迷人的) sunnyOutlook of the OctagonOpen-7Days per Week365 Days A YearMonday - Friday from 7:30 a. m.Saturday - from 8:30 a. mSundays＆Public Holidays from 9:30Offering an extensive MenuBreakfast, Lunch and Dinner Weekdays.Weekends Brunch through to 5 p. m Dinner in the evening.A full range of Espresso and DessertsWeekend evenings in the Ra BarOffer entertainment and dancing through to the small hours.Ra Bar is committed to qualityFood, beverage & friendly service21 The Octagon. DunedinPost Box 195. PE/FAX (03) 477-608056. Where is Ra Bar located?It is located in the heart of________________57. What does Ra Bar offer from Monday through Friday?It offers __________________________58. What is the special offer of Ra Bar at weekends?The special offer is______________________59. How does Ra Bar promise to serve customers?It promises to offer_____________________60. How many ways are there to reserve a table?There are ________________waysPart IV Translation-English to Chinese (20 minutes)61. Mr. Jones had never been so pleased, with any other secretary; yet the pay she asks for is no more than the others and so was a real find.A) 琼斯先生从未对哪个秘书这么满意过; 然而她要的工资不比别人多, 她真是难得。

2014年重庆市专升本考试英语模拟试题一Part II StructureSection A16. He is usually _______________duty in the office every two days.A) in B) for C) at D) on17. Our dean, Mr. White, refused to accept______0f these suggestions made by us.A) neither B) either C) any D) none18. The doctor told me that I had to stay _________ bed for at least three days.A) On B) in C) with D) to19. He threw all the cigarettes into the dustbin as if _______ to quit smoking.A) determined B) determining C) to determine D) determine20 The house stays empty ________ when its owner comes in summer.A) though B) except C) besides D) unless21. They have come to China not only to learn Chinese, but __________ about her cultureA) learn B) learning C) to learn D) learned22. John was sure that by five o'clock, he ____________ the milking.A) finished C) would finish .B) would be finishing D) would have finished23 That is the person __________ you have brought all the documents.A) to whom B) for whom C) who D) whose24. He raised the question of _________ we could get the necessary fundA) if B) whether C) weather D) that25. The more I looked at the picture, ________________A) the more l liked it C) more l liked itB) I liked it the more D) I liked it moreSection B26. He mustn't sign the ____________ (agree) until he has looked it through.27. I was proud of your__________ (elect) as one of the representatives.28. The government has paid more attention to the_________ (educate) of girls inthe countryside.29. There_________ (exist) a lot of cultural differences between the east and the west.30. It's____________ (danger) for children under 12 to ride the bicycle on the road.31. We have to go to the library_________ (frequent) to search information for our term paper.32 Those foreign professors were___________ (please) with the arrangements there33. We were surprised________ (hear) that he had left school.34. I'd like to tell you that my request is that they___________ (set) free immediately35. 1 don't think it's worth___________ (take) a taxi over such a short distance. Part III Reading ComprehensionTask lIn the past, a city's major shopping district was in its downtown area. People could get downtown more easily than they could get to other parts of the City. Before the 1960s, the best way to travel in a city was on a street-car, a subway, a railroad, or an elevated train. All of these ran on tracks that led downtown.As our cities grew outward, people living far from the center of town needed a place they could drive to quickly. Driving downtown was difficulty. Finding a parking space downtown was something impossible People also needed a shopping place where they could park easily.To meet the shopping needs of people living in the suburbs, groups of businesses moved farther out, too. Today most suburbs have large shopping centers.Modern and well-planned shopping centers are built on large areas of ground. They have even more space for parking than they do for stores. The shopping centers have many different kinds of stores. Often, the shoppers can do all their shopping in one place.The very large shopping centers have malls which make shopping pleasant. The mall is an area between stores set aside for walking. Shoppers can stroll from store to store and enjoy beautiful fountains, statues, and plants. There are benches so thatshoppers may rest. Some shopping centers have malls with roofs that protect shoppers from the weather outside.36. The first paragraph tells us that in the pastA) few people drove cars to do shoppingB) it was convenient to do shopping downtownC) people liked to live in downtown areasD) street-cars were the main vehicle within a city37. Why did some businesses move from downtown to the suburbs?A) They needed more space to build modem large stores.B) People did not like to do shopping in city centers.C) Shopping downtown was difficult due to heavy traffic.D) Downtown businesses were not as good as before38. Nowadays people prefer to go shopping in big mails because. Malls ___A) are much closer to their homesB) have much larger walking spaceC) can shelter people from sunshineD) are more pleasant for shoppers.39. The passage is mainly aboutA) changes of people's shopping habitsB) the need for modern shopping centersC) people's life in the center of big citiesD) how to run a business in the suburbs40. We can conclude from the passage thatA) suburban areas are beautiful and pleasant placesB) elevated trains will be built to connect shopping centersC) only city people visit big shopping centersD) suburban people will have more shopping centersTask 2Life insurance isn't fun to buy. It forces you to think about your death. a subject many prefer not to face But there's a single. Important reason to buy life insurance toprovide an income for your dependents if you dieDon't depend only on an agent to plan your life-insurance needs. Rough estimates are guesses they may produce too little or too much insurance. Carry too little insurance and you may not provide a reasonable standard of living for your family after your death; carry too much and you may not enjoy a reasonable standard of living while you're alive.Most people who have life insurance don't have enough. The medium amount of coverage for all adults with life insurance was only $15. 000 in 1984. That's obviously not enough to sustain (使持续) a family with young children for very long. Nationwide insurance found that the married men in its 1984 survey carried an average about $43 516 worth insurance but needed some $98507 more.How do you determine the amount of life insurance you would need to maintain your family's current life-style if the bread-winner died? First, calculate what your family's expenses would be if you died tomorrow. Then analyze your assets (财富) and the sources of income that you can use to cover the expenses. Finally, subtract (减去) the assets from the needs. The result is the amount of additional two insurance that you'll need to buy.41. The passage intends to tell us that life insuranceA) should be bought by ourselvesB) is important to our lifeC) has a lot of advantagesD) must be carefully calculated42. Why is life insurance not fun to buy?A) Because many people do not like to think of it.B) Because many people do not know how to buy itC) Because it reminds us that we may die one day.D) Because it forces us to take care of our dependents.43. Why can’t we depend on agents to buy insurance for us?A) Because they may charge too much from us.B) Because they may not buy the right amount of insurance for us.C) Because they may not look upon insurance differently from us.45. Which of the following is TRUE according to the passage?A) Most people buy insurance when they are aliveB) Those who buy insurance seldom think of their family.C) Life insurance is usually bought right before one dies.D) People tend to buy less insurance than needed:Task3Directions: Read the following passage and complete the information by filling in the blanks marked 46 through 50 in the table below with no more than 3 words for each blank.Join the Team for a CureThe Arthritis (关节炎) walk is the Arthritis Foundation's nationwide team event that raises funds to fight arthritis, the nation's number one cause of disability (残疾) . Walking is a fun and healthy way to team up with the Arthritis Foundation to make a difference in the lives of people with arthritis.Walking with people who you know adds to the fun! Recruit five or more friends, family members or co-workers to walk and raise funds together to help find a cure for arthritis. Form a team, and you'll get early registration, special check-in and more. Individuals are also welcome to walkRegister today! Fill out the attached form and mail or fax it to receive your walk packet.Raise funds to fight arthritis. Start collecting today. Your goal is to raise$100, that's just 1Odonations (捐助) of $10.Walk in honor of someone with arthritis.The Arthritis WalkOrganizer of the event: ________46__________Objective of the event: ___________47______________Participants of the event: company teams, family members and______48_______ Way for registration: ______49_____ the registration formand______50_______it for receiving the walk packetTask 5Directions: Read the following advertisement. After reading it, you are required to read the questions and then complete the answers below them (NO.56 through No.60). You should write your answers briefly (in no more than 3 words) on the Answer Sheet correspondingly.Special ServicesGray Line - A symbol of reliable, safe and efficient international network of sightseeing and destination (目的地) service companies worldwide.Joining Gray Line Tours is an excellent way to be familiar with a city without trouble.We also specialize in other travel-related services.Group and Individual VisaSingle and/or Multiple entriesExpress Service 1/2 day, 1 day, 2 days.For information, please call 2368 7111Ticketing &Hotel ReservationAccommodation arrangement for Hong Kong, Macau. Guangzhou. Etc.Ferry tickets to MacauThrough-trains, express buses to Guangzhou, Beijing. Etc.For information, please call 2367 0082Gray Line Tours of Hone Kong Limited5/F, Cheong Hing Bldg, 72 Nathan Road, TSL Kowloon(Opposite to the Mosque/entrance from Humphreys Ave)56. What kind of company is Gray Line?It is an international network of _____________ service companies57. What special services does the company offer?The company offers ___________________ services.58. Which number will you dial if you need Express Service?I will dial_________________________________________59. What kind of information can you get if you dial Telephone No. 2367 00827?We can get information about the reservation of___________________________________60. Where is the company located?It is located in______________________________________________________ PartⅣ Translation English to Chinese (20 minutes)Directions: This part, numbered 61 through 65, is to test your ability to translate English to Chinese. After each of the sentences numbered 61 to 64, you will read four choices of suggested translation. You should choose the best translation and mark the corresponding letter on your Answer Sheet. And for the paragraph numbered 65, write your translation in the corresponding space on the Translation/Composition Sheet. 61. He was wearing a rough gray coat, which was in good shape, but which had seen many winters before this one.A) 他穿着一件深灰色大衣, 这件大衣的款式不错, 不过这种款式几年前便开始流行了。

1. 关于计算下列极问题(1)35lim 22-+→x x x (2)13lim 223+-→x x x ; (3)112lim 221-+-→x x x x (4)xx x x x x 2324lim 2230++-→; (5)hx h x h 220)(lim -+→ (6))112(lim 2xx x +-∞→; (7)121lim 22---∞→x x x x ; (8)13lim 242--+∞→x x x x x ; (9)4586lim 224+-+-→x x x x x ; (10))12)(11(lim 2xx x -+∞→ (11))21 41211(lim nn +⋅⋅⋅+++∞→; (12)2)1( 321lim n n n -+⋅⋅⋅+++∞→; (13)35)3)(2)(1(lim n n n n n +++∞→; (14))1311(lim 31xx x ---→; (3)xx x x 30sin sin tan lim -→; (4))1sin 1)(11(tan sin lim 320-+-+-→x x x x x 3. 求下列极限:(1)52lim 20+-→x x x ; (2)34)2(sin lim x x π→;(3))2cos 2ln(lim 6x x π→;(4)xx x 11lim 0-+→; (5)145lim 1---→x x x x ; (6)ax a x a x --→sin sin lim ; (7))(lim 22x x x x x --++∞→ 4. 求下列极限:(1)x x e 1lim ∞→;(2)xx x sin ln lim 0→; (3)2)11(lim xx x+∞→; (4)x x x 2cot 20)tan 31(lim +→; (5)21)63(lim -∞→++x x xx ; (6)xx x x x x -++-+→20sin 1sin 1tan 1lim . 8. 求下列极限:(1)221)1(1lim -+-→x x x x ; (2))1(lim 2x x x x -++∞→; (3)1)1232(lim +∞→++x x x x ; (4)30sin tan lim x x x x -→; (5)x x x x x c b a 10)3(lim ++→(a >0, b >0, c >0); (6)x x x tan 2)(sin lim π→.习题3-21. 用洛必达法则求下列极限:(1)xx x )1ln(lim 0+→;(2)xe e x x x sin lim 0-→-; (3)ax a x a x --→sin sin lim ; (4)xx x 5tan 3sin lim π→; (5)22)2(sin ln lim x xx -→ππ;(6)n n m m a x ax a x--→lim ; (7)xx x 2tan ln 7tan ln lim 0+→; (8)x x x 3tan tan lim 2π→;(9)xarc x x cot )11ln(lim ++∞→; (10)xx x x cos sec )1ln(lim 20-+→; (11)x x x 2cot lim 0→; (12)2120lim x x e x →;(13))1112(lim 21---→x x x ; (14)x x xa )1(lim +∞→; (15)x x x sin 0lim +→; (16)x x xtan 0)1(lim +→.2. 下列函数在指出的点处间断, 说明这些间断点属于哪一类, 如果是可去间断点, 则补充或改变函数的定义使它连续:(1)23122+--=x x x y , x =1, x =2; (2)x x y tan =, x =k , 2ππ+=k x (k =0, ±1, ±2, ⋅ ⋅ ⋅);(3)xy 1cos 2=, x =0;(4)⎩⎨⎧>-≤-=1 31 1x x x x y , x =1.1. 求函数633)(223-+--+=x x x x x x f 的连续区间, 并求极限)(lim 0x f x →, )(lim 3x f x -→及)(lim 2x f x →..2 求下列函数的导数(1)y =x 4; (2)32x y =;(3)y =x 1. 6;(4)xy 1=; (5)21xy =; (6)53x x y =;(7)5322x x x y =; 2. 求下列函数的导数:(1)1227445+-+=xx x y ; (2) y =5x 3-2x +3e x ;(3) y =2tan x +sec x -1;(4) y =sin x ⋅cos x ;(5) y =x 2ln x ;(6) y =3e x cos x ;(7)xx y ln =; (8)3ln 2+=xe y x ; (9) y =x 2ln x cos x ;(10)tt s cos 1sin 1++=; 4. 用对数求导法求下列函数的导数:(1) x xx y )1(+=;(2)55225+-=x x y ; (3)54)1()3(2+-+=x x x y ; (4)x e x x y -=1sin .3. 求下列函数在给定点处的导数:(1) y =sin x -cos x , 求6π='x y 和4π='x y .(2)θθθρcos 21sin +=,求4πθθρ=d d . (3)553)(2x x x f +-=, 求f '(0)和f '(2) . 5. 求下列参数方程所确定的函数的导数dxdy : (1) ⎩⎨⎧==22bt y at x ; (2) ⎩⎨⎧=-=θθθθcos )sin 1(y x . 1. 求函数的二阶导数:(1) y =2x 2+ln x ;(2) y =e 2x -1;(3) y =x cos x ;(4) y =e -t sin t ;(5)22x a y -=;(6) y =ln(1-x 2)(7) y =tan x ;(8)113+=x y ; (9) y =(1+x 2)arctan x ;(10)xe y x =; (11)2x xe y =;(12))1ln(2x x y ++=.1. 求由下列方程所确定的隐函数y 的导数dx dy : (1) y 2-2x y +9=0;(2) x 3+y 3-3axy =0;(3) xy =e x +y ;(4) y =1-xe y .2. 求曲线323232a y x =+在点)42 ,42(a a 处的切线方程和法线方程.3. 求由下列方程所确定的隐函数y 的二阶导数22dxy d : (1) x 2-y 2=1;(2) b 2x 2+a 2y 2=a 2b 2;(3) y =tan(x +y );(4) y =1+xe y .6. 已知⎩⎨⎧==.cos ,sin t e y t e x t t 求当3π=t 时dx dy 的值.7. 写出下列曲线在所给参数值相应的点处的切线方程和法线方程:(1) ⎩⎨⎧==ty t x 2cos sin , 在4π=t 处;(2) ⎪⎩⎪⎨⎧+=+=2221313taty t atx , 在t =2处.3. 求下列函数的微分:(1)x xy 21+=; (2) y =x sin 2x ;(3)12+=x xy ;(4) y =ln 2(1-x );(5) y =x 2e 2x ;(6) y =e -x cos(3-x );(7)21arcsin x y -=;(8) y =tan 2(1+2x 2);(9)2211arctan xx y +-=;(10) s =A sin(ωt +ϕ) (A , ω, ϕ是常数) .4. 将适当的函数填入下列括号内, 使等式成立:(1) d ( )=2dx ;(2) d ( )=3xdx ;(3) d ( )=cos tdt ;(4) d ( )=sin ωxdx ;(5) d ( )dx x 11+=; (6) d ( )=e -2x dx ;(7) d ( )dx x1=; (8) d ( )=sec 23xdx .5. 求下列函数f (x )的f -'(0)及f +'(0),又f '(0)是否存在?(1)⎩⎨⎧≥+<=0)1ln(0 sin )(x x x x x f ; (2)⎪⎩⎪⎨⎧=≠+=0 00 1)(1x x e x x f x .6. 讨论函数⎪⎩⎪⎨⎧=≠=000 1sin )(x x x x x f 在x =0处的连续性与可导性.7. 求下列函数的导数:(1) y =arcsin(sin x );(2)xx y -+=11arctan ; (3)x x x y tan ln cos 2tan ln ⋅-=; (4))1ln(2x x e e y ++=;(5)x x y =(x >0)8. 求下列函数的二阶导数:(1)y =cos 2x ⋅ln x ;(2)21x x y -=.10. 设函数y =y (x )由方程e y +xy =e 所确定, 求y ''(0).11. 求下列由参数方程所确定的函数的一阶导数dx dy 及二阶导数22dx y d : (1)⎩⎨⎧==θθ33sin cos a y a x ;(2)⎩⎨⎧=+=t y t x arctan 1ln 2.12. 求曲线⎩⎨⎧==-t t e y e x 2在t =0相的点处的切线方程及法线方程.2. 验证拉格朗日中值定理对函数y =4x 3-5x 2+x -2在区间[0, 1]上的正确性.3验证罗尔定理对函数y =ln sin x 在区间]65 ,6[ππ上的正确性.12. 证明方程x 5+x -1=0只有一个正根.习题3-51. 求函数的极值:(1) y =2x 3-6x 2-18x +7;(2) y =x -ln(1+x ) ;(3) y =-x 4+2x 2 ;(4)x x y -+=1;(5)25431x x y ++=;(6)144322++++=x x x x y ;(7) y =e x cos x ;(8)x x y 1=;(9)31)1(23+-=x y ;(10) y =x +tan x .4. 求下列函数的最大值、最小值:(1) y =2x 3-3x 2 , -1≤x ≤4;(2) y =x 4-8x 2+2, -1≤x ≤3 ;(3)x x y -+=1, -5≤x ≤1.5. 问函数y =2x 3-6x 2-18x -7(1≤x ≤4)在何处取得最大值？并求出它的最大值.6. 问函数xx y 542-=(x <0)在何处取得最小值？1. 填空:设常数k >0, 函数k e x x x f +-=ln )(在(0, +∞)内零点的个数为_______.关于不定积分问题及计算习题4-11. 求下列不定积分:(1)⎰dx x 21;(2)⎰dx x x ;(3)⎰dx x 1;(4)⎰dx x x 32;(5)⎰dx x x 21 ;(6)dx x m n ⎰;(7)⎰dx x 35;(8)⎰+-dx x x )23(2(9)⎰gh dh2(g 是常数);(10)⎰-dx x 2)2(;(11)⎰+dx x 22)1(;(12)dx x x ⎰-+)1)(1(3;(13)⎰-dx x x 2)1(;(14)⎰+++dx x x x 1133224; (15)⎰+dx x x 221;(16)⎰+dx xe x )32(;(17)⎰--+dx x x )1213(22;(18)dx x e e x x ⎰--)1(;(19)⎰dx e x x 3;(20)⎰⋅-⋅dx x x x 32532; 、(21)⎰-dx x x x )tan (sec sec ;(22)⎰dx x 2cos 2;(23)⎰+dx x 2cos 11;(24)⎰-dx x x x sin cos 2cos ;(25)⎰dx x x x 22sin cos 2cos ;(26)⎰-dx x x x )11(2;填上下列相等的积分(1) dx = d (ax );(2) dx = d (7x -3);(3) xdx = d (x 2);(4) x d x = d (5x 2);(5))1( 2x d xdx -=;(6)x 3dx = d (3x 4-2);(7)e 2x dx = d (e 2x );(8))1( 22x x e d dx e --+=;(9))23(cos 23sin x d xdx =;(10)|)|ln 5( x d x dx =;(11)|)|ln 53( x d x dx -=;(12))3(arctan 912x d x dx =+;(13))arctan 1( 12x d x dx -=-;(14))1( 122x d x xdx-=-.2. 求下列不定积分(其中a , b , ω, ϕ均为常数):(1)⎰dt e t 5;(2)⎰-dx x 3)23(;(3)⎰-dx x211;(4)⎰-332x dx ;dx (5)⎰-dx e ax b x )(sin (6)⎰dt t t sin ;(7)⎰⋅xdx x 210sec tan ;(8)⎰x x x dx ln ln ln ; .(9)⎰+⋅+dx x x x 2211tan ; (10)⎰x x dx cos sin dx (11)⎰-+dx e e x x 1;(12)⎰-dx xe x 2;(13)⎰⋅dx x x )cos(2(14)⎰-dx x x 232 (15)⎰-dx x x 4313;(16)⎰++dt t t ))sin((cos 2ϕωϕω; .(17)⎰dx xx 3cos sin (18)⎰-+dx x x x x 3cos sin cos sin ;(19)⎰--dx x x2491(20)⎰+dx x x 239; (21)⎰-dx x 1212; (22)⎰-+dx x x )2)(1(1 (23)⎰xdx 3cos(24)⎰+dt t )(cos 2ϕω;(25)⎰xdx x 3cos 2sin ;(26)⎰dx x x 2cos cos(27)⎰xdx x 7sin 5sin ;(28)⎰xdx x sec tan 3(29)⎰-dx x x 2arccos 2110;(30)⎰+dx x x x )1(arctan ;(31)⎰-221)(arcsin x x dx ; (32)⎰+dx x x x 2)ln (ln 1;(33)⎰dx x x x sin cos tan ln ;(34)⎰-dx x a x 222(a >0).(35)⎰-12x x dxdx(36)⎰+32)1(x dx dx;(37)⎰-dx x x 92;(38)⎰+x dx 21dx (39)⎰-+211x dxdx(40)⎰-+21x x dxdx习题4-3求下列不定积分:1. ⎰xdx x sin ;2. ⎰xdx ln ;3. ⎰xdx arcsin ;4. ⎰-dx xe x ;5. ⎰xdx x ln 2;6. ⎰-xdx e x cos ;7. ⎰-dx x e x 2sin 2;2 9. ⎰xdx x arctan 2;10. ⎰xdx x 2tan11. ⎰xdx x cos 212. ⎰-dt te t 2;13. ⎰xdx 2ln ;14. ⎰xdx x x cos sin15. ⎰dx x x 2cos 22;16. ⎰-dx x x )1ln(;17. ⎰-xdx x 2sin )1(218. ⎰dx xx23ln 19. ⎰dx e x 3;20. ⎰xdx ln cos ;21. ⎰dx x 2)(arcsin ;22. ⎰xdx e x 2sin .习题4-4求下列不定积分:1. dx x x ⎰+33;2. ⎰-++dx x x x 103322;-xx4. ⎰+dx x 133; 5. ⎰+++)3)(2)(1(x x x xdx ;6. ⎰-++dx x x x )1()1(1227. dx x x )1(12+⎰8. ⎰++))(1(22x x x dx ;9. ⎰+++)1)(1(22x x x dx ;10. ⎰+dx x 114;11. ⎰++--dx x x x 222)1(2;12. ⎰+x dx 2sin 3;13. ⎰+dx xcos 3114. ⎰+dx xsin 21;15. ⎰++xx dx cos sin 1;16. ⎰+-5cos sin 2x x dx ;17. ⎰++dx x 3111;. 18. ⎰++dx x x 11)(319. ⎰++-+dx x x 1111 20. ⎰+4x x dx ;21. ⎰+-xdx x x 11;22. ⎰-+342)1()1(x x dx .总习题四求下列不定积分(其中a , b 为常数): 1. ⎰--x x ee dx ;2. dx x x ⎰-3)1(;3. ⎰-dx x a x 662(a >0);4. ⎰++dx xx x sin cos 1;5. ⎰dx xx ln ln ; 6. ⎰+dx xx x 4sin 1cos sin 7. ⎰xdx 4tan ;8. ⎰xdx x x 3sin 2sin sin ;9. ⎰+)4(6x x dx ;10. )0(>-+⎰a dx x a x a ;11. ⎰+)1(x x dx ;12. ⎰xdx x 2cos ;13. ⎰bxdx e ax cos ;14. ⎰+x e dx1;15. ⎰-122x x dx ;16. ⎰-2/522)(x a dx ;17. ⎰+241x x dx ;18.⎰dx x x sin ;19. ⎰+dx x )1ln(2;20. ⎰dx x x32cos sin ;21. ⎰dx x arctan ;23. ⎰+dx x x 283)1(24. ⎰++dx x x x 234811;25. ⎰-416x dx ;26. dx xx ⎰+sin 1sin 27. dx xx x ⎰++cos 1sin ;28. ⎰-dx x x x x ex 23sin cos sin cos ; 29. ⎰+dx x x x x )(33;30. ⎰+2)1(x e dx; 31. ⎰+-+dx e e e e x x x x 1243;32. ⎰+dx e xe x x 2)1(;33. ⎰++dx x x )1(ln 22;34. ⎰+dx x x 2/32)1(ln ;35. ⎰-xdx x arcsin 12;36. ⎰-dx x x x 231arccos ;37. ⎰+dx x x sin 1cot=ln|sin x |-ln|1+sin x |+C =-ln|csc x +1|+C .38. ⎰x x dxcos sin 3;39. ⎰+x x dxsin )cos 2(;40. ⎰+dx x x xx cos sin cos sin ;.定积分: . 习题5-31. 计算下列定积分: (1)⎰+πππ2)3sin(dx x(2)⎰-+123)511(x dx;(3)⎰203cos sin πϕϕϕd ;(4)⎰-πθθ03)sin 1(d ;(5)⎰262cos ππudu ;(6)dx x ⎰-2022;(7)dy y ⎰--22228;(8)⎰-121221dx x x ;(9)⎰-a dx x a x 0222;(10)⎰+31221x x dx;(11)⎰--1145x xdx ;(12) ⎰+411x dx ;(13)⎰--14311x dx ;(14)⎰-a x a xdx 20223;(15)dt tet ⎰-1022 (16)⎰+21ln 1e xx dx ; (17)⎰-++02222x x dx ;(18)⎰-222cos cos ππxdx x ;(19)⎰--223cos cos ππdx x x ;(20)⎰+π02cos 1dx x .7. 计算下列积分:(1)⎰++20cos 1sin πdx x x x ;(2)⎰+40)tan 1ln(πdx x ;(3)⎰-+a x a x dx 022;(4)⎰-202sin 1πdx x ;(5)⎰+202cos 1πxdx .习题6-21. 求图6-21 中各画斜线部分的面积:(1) (2)(4)2. 求由下列各曲线所围成的图形的面积:(2)x y 1=与直线y =x 及x =2;(3) y =e x , y =e -x 与直线x =1;(4)y =ln x , y 轴与直线y =ln a , y =ln b (b >a >0).3. 求抛物线y =-x 2+4x -3及其在点(0, -3)和(3, 0)处的切线所围成的图形的面积.y '=-2 x +4.4. 求抛物线y 2=2px 及其在点),2(p p 处的法线所围成的图形的面积.空间解析几何与向量习题7-21. 设a =3i -j -2k , b =i +2j -k , 求(1)a ⋅b 及a ⨯b ; (2)(-2a )⋅3b 及a ⨯2b ; (3)a 、b 夹角的余弦.2. 设a 、b 、c 为单位向量, 且满足a +b +c =0, 求a ⋅b +b ⋅c +c ⋅a .3. 已知M 1(1, -1, 2)、M 2(3, 3, 1)和M 3(3, 1, 3). 求与→21M M 、→32M M 同时垂直的单位向量.习题7-31. 一动点与两定点(2, 3, 1)和(4, 5, 6)等距离, 求这动点的轨迹方程.2. 建立以点(1, 3, -2)为球心, 且通过坐标原点的球面方程.习题7-51. 求过点(3, 0, -1)且与平面3x -7y +5z -12=0平行的平面方程2.求过点M0(2, 9,-6)且与连接坐标原点及点M0的线段OM0垂直的平面方程.3.求过(1, 1,-1)、(-2,-2, 2)、(1,-1, 2)三点的平面方程.5.求平面2x-2y+z+5=0与各坐标面的夹角的余弦.6.一平面过点(1, 0,-1)且平行于向量a=(2, 1, 1)和b=(1,-1, 0),试求这平面方程.7.求三平面x+3y+z=1, 2x-y-z=0,-x+2y+2z=3的交点.8.分别按下列条件求平面方程:(1)平行于zOx面且经过点(2,-5, 3);9.求点(1, 2, 1)到平面x+2y+2z-10=0的距离.习题7-61. 求过点(4, -1, 3)且平行于直线51123-==-z y x 的直线方程.2. 求过两点M 1(3, -2, 1)和M 2(-1, 0, 2)的直线方程.3. 用对称式方程及参数方程表示直线⎩⎨⎧=++=+-421z y x z y x .4. 求过点(2, 0, -3)且与直线⎩⎨⎧=+-+=-+-012530742z y x z y x 垂直的平面方程.5. 求直线⎩⎨⎧=+-=-+-02309335z y x z y x 与直线⎩⎨⎧=-++=+-+0188302322z y x z y x 的夹角的余弦.6. 证明直线⎩⎨⎧=++-=-+7272z y x z y x 与直线⎩⎨⎧=--=-+028363z y x z y x 平行.7. 求过点(0, 2, 4)且与两平面x +2z =1和y -3z =2平行的直线方程.8. 求过点(3, 1, -2)且通过直线12354z y x =+=-的平面方程.9. 求直线⎩⎨⎧=--=++003z y x z y x 与平面x -y -z +1=0的夹角.10. 试确定下列各组中的直线和平面间的关系:(1)37423z y x =-+=-+和4x -2y -2z =3;(2)723z y x =-=和3x -2y +7z =8; (3)431232--=+=-z y x 和x +y +z =3.11. 求过点(1, 2, 1)而与两直线⎩⎨⎧=-+-=+-+01012z y x z y x 和⎩⎨⎧=+-=+-002z y x z y x 平行的平面的方程.12. 求点(-1, 2, 0)在平面x +2y -z +1=0上的投影.13. 求点P (3, -1, 2)到直线⎩⎨⎧=-+-=+-+04201z y x z y x 的距离.多元函数与微积分5. 求下列各函数的定义域:(1)z =ln(y 2-2x +1);(2)y x y x z -++=11;(3)y x z -=;(4)221)ln(y x x x y z --+-=;(5)222222221r z y x z y x R u -+++---=(R >r >0);(6)22arccosyx z u +=.6. 求下列各极限: (1)22)1,0(),(1limy x xy y x +-→; (3)xyxy y x 42lim )0,0(),(+-→; (2)22)0,1(),()ln(lim yx e x y y x ++→; (4)11lim )0,0(),(-+→xy xy y x ; (5)y xy y x )sin(lim)0,2(),(→; (6)22)()cos(1lim 2222)0,0(),(yx y x e y x y x ++-→.习题8-21. 求下列函数的偏导数:(1) z =x 3y -y 3x ;(2)uvv u s 22+=; (3))ln(xy z =(4) z =sin(xy )+cos 2(xy );(5)yx z tan ln =;(6) z =(1+xy )y ;(7)zyx u =;(8) u =arctan(x -y )z ;4. 设yx y x y x f arcsin )1(),(-+=, 求)1 ,(x f x .5. 曲线⎪⎩⎪⎨⎧=+=4422y y x z 在点(2, 4, 5)处的切线与正向x 轴所成的倾角是多少？6. 求下列函数的22x z ∂∂, 22y z ∂∂, yx z ∂∂∂2. (1) z =x 4+y 4-4x 2y 2;(2)xy z arctan =;(3) z =y x .7. 设f (x , y , z )=xy 2+yz 2+zx 2, 求f xx (0, 0, 1), f xz (1, 0, 2), f yz (0, -1, 0)及f zzx (2, 0, 1).8. 设z =x ln(xy ), 求y x z ∂∂∂23及23y x z ∂∂∂.习题8-31. 求下列函数的全微分: (1)yx xy z +=;(2)x y e z =;(4)u =x yz .(3) 22yx y z +=;习题8-41. 设z =u 2-v 2, 而u =x +y , v =x -y , 求x z ∂∂, y z ∂∂.2. 设z =u 2ln v , 而y x u =, v =3x -2y , 求x z ∂∂, y z ∂∂.3. 设z =e x -2y , 而x =sin t , y =t 3, 求dt dz .4. 设z =arcsin(x - y ), 而x +3t , y =4t 3, 求dtdz .5. 设z =arctan(xy ), 而y =e x , 求dxdz .6. 设1)(2+-=a z y e u ax , 而y =a sin x , z =cos x , 求dxdu . 习题8-51. 设sin y +e x -xy 2=0, 求dxdy .2. 设x y y x arctan ln 22=+, 求dx dy .3. 设022=-++xyz z y x , 求x z ∂∂及y z ∂∂.4. 设yz z x ln =, 求x z ∂∂及y z ∂∂,6. 求下列函数的一阶和二阶偏导数:(1)z =ln(x +y 2);(2)z =x y .二重积分:1. 计算下列二重积分:(1)⎰⎰+Dd y x σ)(22, 其中D ={(x , y )| |x |≤1, |y |≤1};(2)⎰⎰+Dd y x σ)23(, 其中D 是由两坐标轴及直线x +y =2所围成的闭区域:(3)⎰⎰++Dd y y x x σ)3(223, 其中D ={(x , y )| 0≤x ≤1, 0≤y ≤1};(4)⎰⎰+Dd y x x σ)cos(, 其中D 是顶点分别为(0, 0), (π, 0), 和(π, π)的三角形闭区域..2. 画出积分区域, 并计算下列二重积分: (1)⎰⎰Dd y x σ, 其中D 是由两条抛物线x y =, 2x y =所围成的闭区域;2)⎰⎰Dd xy σ2, 其中D 是由圆周x 2+y 2=4及y 轴所围成的右半闭区域;(3)⎰⎰+Dy x d e σ, 其中D ={(x , y )| |x |+|y |≤1};(4)⎰⎰-+Dd x y x σ)(22, 其中D 是由直线y =2, y =x 及y =2x 轴所围成的闭区域.15. 选用适当的坐标计算下列各题: (1)dxdy y x D 22⎰⎰，其中D 是由直线x =2，y =x 及曲线xy =1所围成的闭区域.14. 利用极坐标计算下列各题:(1)⎰⎰+D y xd e σ22，其中D 是由圆周x 2+y 2=4所围成的闭区域;(2)⎰⎰++Dd y x σ)1ln(22，其中D 是由圆周x 2+y 2=1及坐标轴所围成的在第一象限内的闭区域;微分方程的通解:(1)xy '-y ln y =0;(2)3x 2+5x -5y '=0;(3)2211y y x -='-;(4)y '-xy '=a (y 2+y ');(5)sec 2x tan ydx +sec 2y tan xdy =0;(6)y x dxdy +=10;(7)(e x +y -e x )dx +(e x +y +e y )dy =0;(8)cos x sin ydx +sin x cos ydy =0;(9)0)1(32=++x dxdy y ;(10)ydx +(x 2-4x )dy =0.2. 求下列微分方程满足所给初始条件的特解:(1)y '=e 2x -y , y |x =0=0;(2)cos x sin ydy =cos y sin xdx , 4|0π==x y ;(3)y 'sin x =y ln y , e y x ==2π;(4)cos ydx +(1+e -x )sin ydy =0, 4|0π==x y ;(5)xdy +2ydx =0, y |x =2=1.1. 求下列齐次方程的通解: (1)022=---'x y y y x ;(2)xy y dx dy x ln =;(3)(x 2+y 2)dx -xydy =0;(4)(x 3+y 3)dx -3xy 2dy =0;(8)y ln ydx +(x -ln y )dy =0;(7)x xy dxdy 42=+;(6)23=+ρθρd d ;(5)(x 2-1)y '+2xy -cos x =0;(4)y '+y tan x =sin 2x ;(2) y '+y cos x =e -sin x ;习题12-41. 求下列微分方程的通解:(1)x e y dxdy -=+;(2)xy '+y =x 2+3x +2;(9)3)2(2)2(-+=-x y dx dy x ;(10)02)6(2=+-y dxdy x y .2. 求下列微分方程满足所给初始条件的特解: (1)x x y dxdy sec tan =-, y |x =0=0;(2)xx x y dx dy sin =+, y |x =π=1;(3)x e x y dx dy cos 5cot =+, 4|2-==πx y ;(4)83=+y dxdy , y |x =0=2;习题12-61. 求下列各微分方程的通解:(1)y ''=x +sin x ;(2)y '''=xe x ;(3)211xy +='';(4)y ''=1+y '2;(5)y ''=y '+x ;习题12-81. 求下列微分方程的通解:(1)y ''+y '-2y =0;(2)y ''-4y '=0;(3)y ''+y =0;(4)y ''+6y '+13y =0;(5)02520422=+-x dt dx dtx d ;(6)y ''-4y '+5y =0;(7)y (4)-y =0;(8)y (4)+2y ''+y =0;(9)y (4)-2y '''+y ''=0;(10)y (4)+5y ''-36=0.2. 求下列微分方程满足所给初始条件的特解:(1) y ''-4y '+3y =0, y |x =0=6, y '|x =0=10;(2)4y ''+4y '+y =0, y |x =0=2, y '|x =0=0;(3)y ''-3y '-4y =0, y |x =0=0, y '|x =0=-5;(4)y ''+4y '+29y =0, y |x =0=0, y '|x =0=15;(5)y ''+25y =0, y |x =0=2, y '|x =0=5;(6)y ''-4y '+13y =0, y |x =0=0, y '|x =0=3.级数问题习题11-21. 用比较审敛法或极限形式的比较审敛法判定下列级数的收 敛性: (1) )12(1 51311⋅⋅⋅+-+⋅⋅⋅+++n ;习题11-21. 用比较审敛法或极限形式的比较审敛法判定下列级数的收 敛性: (1) )12(1 51311⋅⋅⋅+-+⋅⋅⋅+++n ;(2) 11 313121211222⋅⋅⋅++++⋅⋅⋅+++++++n n ;(3) )4)(1(1 631521⋅⋅⋅++++⋅⋅⋅+⋅+⋅n n(4) 2sin 2sin 2sin 2sin 32⋅⋅⋅++⋅⋅⋅+++n ππππ(5)∑∞=>+1)0(11n n a a.2. 用比值审敛法判定下列级数的收敛性: (1) 23 2332232133322⋅⋅⋅+⋅+⋅⋅⋅+⋅+⋅+⋅n n n ;(2)∑∞=123n n n;(3)∑∞=⋅1!2n n n n n(3)∑∞=+112tan n n n π.2. 用比值审敛法判定下列级数的收敛性:(1) 23 2332232133322⋅⋅⋅+⋅+⋅⋅⋅+⋅+⋅+⋅n n n ; (2)∑∞=123n n n; (3)∑∞=⋅1!2n n n n n (3)∑∞=+112tan n n n π.4. 判定下列级数的收敛性:(1) )43( )43(3)43(24332⋅⋅⋅++⋅⋅⋅+++n n (2) ! !33!22!114444⋅⋅⋅++⋅⋅⋅+++n n (3)∑∞=++1)2(1n n n n ; (4)∑∞=13sin 2n n n π;(5) 1 232⋅⋅⋅+++⋅⋅⋅++nn ; (6))0 ,0( 1 211>>⋅⋅⋅+++⋅⋅⋅++++b a bna b a b a 5. 判定下列级数是否收敛？如果是收敛的, 是绝对收敛还是 条件收敛？(1) 4131211⋅⋅⋅+-+- (2)∑∞=---1113)1(n n n n ; (3) 2131213121312131432⋅⋅⋅+⋅-⋅+⋅-⋅ (4) 5ln 14ln 13ln 12ln 1⋅⋅⋅+-+- (5)∑∞=+-11!2)1(2n n n n .习题11-31. 求下列幂级数的收敛域:(1)x +2x 2+3x 3+ ⋅ ⋅ ⋅ +nx n + ⋅ ⋅ ⋅;(2) )1( 21222⋅⋅⋅+-+⋅⋅⋅++-nx x x n n ; (3) )2( 42 64242232⋅⋅⋅+⋅⋅⋅⋅+⋅⋅⋅+⋅⋅+⋅+n x x x x n ; (4) 33332313322⋅⋅⋅+⋅+⋅⋅⋅+⋅+⋅+⋅n n n x x x x (5) 12 102522223322⋅⋅⋅+++⋅⋅⋅+++n n x n x x x (6)∑∞=++-11212)1(n n n n x ; (7)∑∞=--122212n n n x n; (8)∑∞=-1)5(n n n x . 7. 求下列幂级数的收敛域:(1)∑∞=+153n n n n x n ;(2)∑∞=+12)11(n n n x n;(3)∑∞=+1)1(n n x n ; (4)∑∞=122n nnx n .线性代数例2-2 求⎪⎪⎭⎫⎝⎛+⎪⎪⎭⎫ ⎝⎛-54322101例1-14 求阶行列式的值11111110101d c b a D ------=例1-16 计算四阶行列式3351110243152113------的值． 例1-18 计算行列式 1201300101121201--例1-19矩阵的乘法⎪⎪⎭⎫ ⎝⎛-=⎪⎪⎭⎫ ⎝⎛⨯+⨯-+⨯⨯+-⨯-+⨯⨯+⨯+⨯⨯+-⨯+⨯=⎪⎪⎪⎭⎫ ⎝⎛-⎪⎪⎭⎫ ⎝⎛-2642104)1(1200)2()1(2213401103)2(021104212012301例2-13 判断下列二阶矩阵是否可逆，若可逆，求其逆矩阵:⎪⎪⎭⎫⎝⎛=d c ba A ，0≠-bc ad例2-21 用初等行变换将=A ⎪⎪⎪⎪⎪⎭⎫ ⎝⎛------41241201412118221100化为简化阶梯形.例2-22 设=A ⎪⎪⎪⎭⎫⎝⎛----101111011，求1-A例2-23 设=A ⎪⎪⎪⎭⎫⎝⎛431212321，求1-A .例3-11 求矩阵的秩⎪⎪⎪⎭⎫⎝⎛----=8114324114321A例3-13 求矩阵的秩⎪⎪⎪⎭⎫⎝⎛----=102221141031A。

2014年成人為等学校"升本招生全国统•占试教佇理论试題及参老答案试题一赦肓学E3分一・iS«8fi：l -12小題•毎小題2分•共24分。

在毎小越给出的囚个选项中•只有一项是符合逸目要求的。

1.担任过20年农村中半怏长.代表性著作“《给教伸的註议X把於个心灵抵给儿帝》的敎片家是A.费科夫B-巴班斯畐C.苏彼娜林斯草D.阿英纳什维科2.佗粗負潼发展过祁中•关国电尔WL金蒂斯代衣的学渡足A.实验ttffTB.实用主义敦flf学C.文化教含学I).批判丹育学3・决定叙疗件质的主U利会冈索是A.生卢力B.政治经济制厦c.科学技术I). Kikfii文化传冼4.洼出于污從M不染”这个比呛说明了人具有A.芫异件B.社会辿应杵C.门然性D.主观能动性5.把堵菲合格公民作为ftfr^本H的的理论是A.个人本忖诊歎社会木位论C.亲软本位论I).民软事位论f>.曲界符国坊砒教曹学枝金入学年龄、屮小学分段寻h N的規定中具有较A的-» 性。

这说明彩响学制建立的主嘤13索是A.生产力水平B政治经讲糾度G卉少年乌心发廣规律n.民族文化传统7.•皮格乌利埼效W亦称”裁帅期?fi效诡”・lfi裁帅对学主的胶切期哄匪戏创性地收ftBilWtt*的现叙它说明的处F 列生关系的作用?8. 购行如先4假导7活HIT “教学做仟•■的思俎所体现的课 A •业科探赴 R.综合 C.隐性课用 D.涵动课樫 9. 长期的实踐证明•堆《|教育学校必須酱持A •以教学为主 B.研究斤帀C 教学与实践并亚I ).教学、科研、生产二结合|<>. C 学记》中I 匕较*<*地体现我辛启发ft 京则的足A ・-开而弗达" B. “学不腻等・C. “及时iii«w I ). a MT*发-H.学生任软帅1ST 卜上动地摄出何题•对问題进行讨论•分析和礴究•从面解决问魁 的学习和教学方洙楚A.自主学刀 C.慄处学习二、 辨析85:1374小麵•毎小题6分•共12分)首先判断正确或铝IX 傑后说明理由二13. 备课就是钻研教材、弓教案" H. “专家未必务帅J三、 简答越：15 77小觀•毎小瓯“分•共24分。

2014年专升本（教育理论）真题试卷(题后含答案及解析)题型有：1. 教育学部分 2. 心理学部分选择题本大题共12小题，每小题2分。

在每小题所给出的四个选项中，只有一项是符合题目要求的。

1．担任过20年农村中学校长，代表性著作有《给教师的建议》、《把整个心灵献给儿童》的教育家是( )A．赞科夫B．巴班斯基C．苏霍姆林斯基D．阿莫纳什维利正确答案：C2．在教育学发展过程中，美国鲍尔斯、金蒂斯代表的学派是( ) A．实验教育学B．实用主义教育学C．文化教育学D．批判教育学正确答案：D3．决定教育性质的主要社会因素是( )A．生产力B．政治经济制度C．科学技术D．民族和文化传统正确答案：B4．“莲出于污泥而不染”这个比喻说明了人具有( )A．差异性B．社会适应性C．自然性D．主观能动性正确答案：D5．把培养合格公民作为教育根本目的的理论是( )A．个人本位论B．社会本位论C．宗教本位论D．民族本位论正确答案：B6．世界各国基础教育学校在入学年龄、中小学分段等方面的规定中具有较高的一致性。

这说明影响学制建立的主要因素是( )A．生产力水平B．政治经济制度C．青少年身心发展规律D．民族文化传统正确答案：C7．“皮格马利翁效应”亦称“教师期望效应”，指教师对学生的殷切期望能戏剧性地收到预期效果的现象。

它说明的是下列哪种师生关系的作用? ( )A．工作关系B．组织关系C．心理关系D．伦理关系正确答案：C8．陶行知先生倡导“生活教育”、“教学做合一”的思想所体现的课程类型是( )A．学科课程B．综合课程C．隐性课程D．活动课程正确答案：D9．长期的实践证明，基础教育学校必须坚持( )A．以教学为主B．教学与研究并重C．教学与实践并重D．教学、科研、生产三结合正确答案：A10．《学记》中比较准确地体现教学启发性原则的是( )A．“开而弗达”B．“学不躐等”C．“及时而教”D．“禁于未发”正确答案：A11．学生在教师指导下主动地提出问题，对问题进行讨论、分析和研究，从而解决问题的学习和教学方法是( )A．自主学习B．合作学习C．探究学习D．小组学习正确答案：C12．班主任工作的重点是( )A．对学生进行品德教育B．督促学生完成学习任务C．指导学生的课余生活D．指导班委会的工作正确答案：A辨析题本大题共2小题，每小题6分。

重庆专升本英语考试练习题含答案(总6页)--本页仅作为文档封面，使用时请直接删除即可----内页可以根据需求调整合适字体及大小--专升本招生考试英语试题及参考答案（仅供练习）Ⅰ. PhoneticsDirections: In each of the following groups of words, there are four underlined letters or letter combinations marked A, B, C and D. Compare the underlined parts and identify the one that is different from the others in pronunciation.1. A. pattern B. package C. palace D. parade2. A. prescription B. observation C. preserve D. deserve3. A. nowhere B. nuclear C. declare D. millionaire4. A. double B. found C. doubt D. southwest5. A. subway B. relay C. survey D. turkeyⅡ. Vocabulary and StructureDirections: There are 15 incomplete sentences in this section. For each sentence there are four choices marked A, B, C and D. Choose one answer that best completes the sentence.you satisfied with her work, sir?--Not at all. It couldn't be any ______.A. betterB. bestC. worseD. worst7. He is not a stranger for me. I have met him on several ______.A. situationsB. environmentsC. occasionsD. positions8. We had borrowed two VCDs but didn't have time to watch ______ of them.A. someB. eitherC. allD. neither9. Some urgent business has ______ , which will take up the whole morning.A. turned upB. run upC. mixed upD. filled up10. This disease is second only ______ heart attack as a cause of death all over the world.A. toB. ofC. withD. from11. Allen ______ any good job since he came to New York City two years ago.A. doesn't findB. hasn't foundC. didn't findD. hadn't found12. The house, ______ was completed in 1856,was famous for its huge marble staircase.A. whereB. thatC. whatD. which13. --I'm afraid I have to go now, Jim.--I’d rather you ______ go alone. It's already too late.A. don'tB. didn'tC. wouldn'tD. shouldn't14. The profit-sharing plan is designed to ______ the staff to work hard.A. arouseB. exciteC. motivateD. assist15. This is ______ for ten of us to sit at. Please get us a larger one.A. too small a tableB. a too small tableC. a such small tableD. such small a table16. Air pollution ,together with littering, ______ many problems in our large industrial cities today.A. cause.B. causedC. causesD. causing17. The deadline for the job is the end of the month, ______ we can't get it done on time?A. What ifB. How ifC. Only ifD. Even if18. If you're looking for a fully-furnished room to rent, I think there's a(n) ______ apartment in my building.A. emptyB. bareC. vacantD. free19. He is already an hour late. I don't think he will come, ______A. do IB. will heC. Won't heD. don't I20. The manager promised to keep me ______ how our business was going on.A. informingB. informedC. to informD. to be informedⅣ. Reading ComprehensionDirections: There are five reading passages in this part. Each passage is followed by four questions. For each question there are four suggested answers marked A, B, C and D. Choose one best answer.Passage OneOne of the most interesting experiments in electronic communicationI've ever seen is coming from Wave. It's real-time e-mail. What that means is that as you're typing a message in Wave, either a new message or a reply, the person you’re writing to can see what you're typing as you type it. Sounds awful, right?You don’t have to use Wave in this real-time way. It also works as a standard e-mail. What’s really different about Wave is that ifyou’re replying to a message and the person you're replying to happen to be online, they can jump into the conversation at that point, and change what is an e-mail conversation into an instant message conversation or a chat.Wave right now is still closed to most users. And Wave isn't yet connected to other communication systems, like regular e-mail, which means that the only people we can Wave with are other people on Wave as well. So we don’t yet know what using Wave will be like once it gets crowded like e-mail. Also, the technology behind Wave is far more demanding on servers and the Internet itself than regular e-mail or chat, so we don’t know if the technology will work at scale.But Wave really is a current re-think of e-mail. A lot of people won’t like it. A lot of people didn’t like e-mail either when it first showed up. But people will find real uses for Wave or whateverit becomes, and it's one of the most interesting new takes on communication. Even if you don't like it, it will make you think differently about e-mail.36. What is special about Wave?A. It makes people see each other online.B. It enables people to send real-time e-mails.C. It allows you to send more e-mails at the same time.D. It can be easily connected to other communication systems.37. It is uncertain that Wave will work on a large scale because______.A. people cannot find practical uses for itB. it will be a challenge to regular e-mailC. the technology it needs is more complicatedD. many people do not understand how it works38. We know from the last paragraph that ______.A. Wave is a basis for face-to-face communication on lineB. Wave allows people to look at e-mail from a new angleC. most Internet users will have access to WaveD. Wave is now as popular as standard e-mail39. What is the author's attitude toward Wave?A. Optimistic.B. Indifferent.C. Pessimistic.D. Critical.Passage TwoWell, it could not have got better for young Kavya Shivashankar, a13-year-old student from Olathe, Kansas as she came out very successfully at the Scripps National Spelling Bee 2009 (2009全美拼写大赛). On Thursday night she defeated the other 11 finalists to win the 82nd Scripps National Spelling Bee, taking home more than $40,000 cash money along with other prizes.Kavya Shivashankar, whose parents migrated to the United States from India, and who aims to become a doctor, enjoys playing the violin, bicycling, swimming and learning Indian classical dance.Thing came a bit late in Kavya’s life since she could win the championship with her fourth appearance in the competition. The last three times when she had taken part in the same competition she had finished Tenth, Eighth and Fourth.However, this time Kavya proved her courage and determination by winning the title she had been competing for so long. Her last challenge was to spell out " Laodicean". The word" Laodieean" means one who is indifferent, mostly in religious matters. She spelled it correctly and a big smile appeared on her face. Kavya wrote the words on her palm each time and spelled every word correctly.After winning Kavya exelaimed," I can’t believe it happened It feels kind of unreal. " Her family was there to support her through the competition. Her father, Mirle Shivashankar said, "Thecompetitiveness is in her.., but she doesn’t show that. She still has that smile. That’s her quality. " He went on to say that this was" the moment" they had been waiting for so long. It was like" a dream come true" for them.40. Who is Kavya Shivashankar?A. One of the 11 finalists at the spelling competition.B. A 13-year-old girl planning to become a star dancer.C. Champion of the Scripps National Spelling Bee 2009.D. An Indian girl enjoying playing various musical instruments.41. The second time Kavya took part in the same competition, she took the ______ place.A. thirdB. fourthC. eighthD. tenth42. Before spelling out the last word "Laodicean", Kavya ______.A. wrote it down in her handB. hesitated for a momentC. smiled at her fatherD. knew that she could win43. The father’s words show that ______.A. the family needed the prize money to support Kavya's educationB. the family were too worried to be present at the competitionC. Kavya was very good at expressing her feelingsD. Kavya had a strong sense of competitionPassage ThreeNothing says "Happy Birthday!" like having a coin released in your honor by the United States Mint(铸币局), and 2009 has become an especially festive year as the Mint rolled out nine different coinsin honor of Abraham Lincoln’s 200th birthday.Four pennies with new designs on the reverse side were issuedstarting February 12. The image of a cabin represents his birthplace. Because Lincoln’s family was poor, and no one could have predicted his later importance, the actual cabin is long gone. Therefore the design is based on the "symbolic cabin" displayed at the Abraham Lincoln Birthplace National Historic Site in Kentucky.The other designs show Abraham taking a break to read a book, the young lawyer Lincoln in front of the Illinois state capitol and a Lincoln-free image of the half finished U. S. Capitol dome as it looked during his time in office. These four coins-produced with today’s standard mix of percent zinc and percent copper-are intended for general circulation.The Mint also released five collectible coins that sell for more than their face value. Special editions of the four penny designs were produced with the metal content used in 1909 ; a mix of 95 percent copper and 5 percent tin and zinc. In addition, in the world of "bigger" money,2009 has brought the Lincoln Commemorative One-DollarCoin-made up of 90 percent silver and 10 percent copper-with an image that has a Gettysburg Address theme.44. What does Paragraph 2 tell about the cabin on the coins?A. It is a symbolic cabin rebuilt in Kentucky.B. It is newly built for producing new coins.C. It has been protected well for over 200 years.D. It is exactly the one where Lincoln was born.45. Special editions of the 4 collectible coins ______.A. are made of copper and silverB. sell at a price same as their face valueC. are likely to be used for circulation in the futureD. have different metal content from the one-dollar coin46. The one-dollar coin has a design of ______ on it.A. a cabinB. Abraham readingC. the Illinois state capitolD. the Gettysburg Address theme47. What is probably the best title for the passage?A. Abraham Lincoln’s 200th BirthdayB. Coins Issued with Metal Content in 1909C. Coins in Honor of Abraham LincolnD. Collectible Coins for Abraham LincolnPassage FourLaura and Anthony Valois are a young New York couple who have been trying in vain to have their first child. Several years ago, Belinda Ramirez read an Internet adoption listing and quickly contacted them from her home in Texas ,telling them they could adopt her unborn baby. Excited, Laura and Anthony spent weeks communicating with Ramirez and got regular updates on her pregnancy.Before long, Ramirez began to ask them for financial support. That took the Valoises by surprise. But they were willing to do a lot to ensure a smooth birth. They sent more than $1,000 to Ramirez over several months.Laura and Anthony finally drove to Texas so they could be on hand for the birth. But once they arrived,Ramirez avoided their daily phone calls. After three weeks, the couple drove back to New Yorkemptyhanded and emotionally crushed.They later learned Ramirez had been cheating about ten other peoplefor such things as Wal-mart gift cards in states ranging from California to Ohio to Florida. From start to finish, it was a scam.In fact, Ramirez was never even pregnant. She was sentenced to 24 months in prison as she deserved." When you find out you can’t have children, it’s just depressing, " Laura Valois told a Texas TV station. " But when somebody intentionally does this to you, it's 15 times worse. "48. What has been troubling the ValoisesA. They lost their first child in an accident.B. No one responded to their adoption demand.C. They have been trying to have a child but failed.D. They are not qualified to adopt a child.49. The couple were excited because ______.A. several babies were available for adoptionB. an adoption agency in Texas contacted themC. their name was put in an Internet adoption listingD. a woman offered them her unborn baby for adoption50. The underlined word "scare" in Paragraph 4 is closest in meaning to ______.A. jokeB. gameC. kidnapD. cheat51. What was depressing for the couple according to Laura?A. They didn't have time to meet Ramirez.B. Ramirez caused them a financial loss of $1,000.C. Their eagerness to have a child was taken advantage of.D. Ramirez committed many crimes before she was caught.Passage FiveDoctors say anger can be an extremely damaging emotion, unless you learn how to deal with it . They warn that angry hostile feelings can lead to heart disease, stomach problems, headaches, emotional problems and possible cancer.Anger is a normal emotion that we all feel from time to time. Some people express anger openly in a calm reasonable way. Others explode with anger, and yell. But other people keep their anger inside. They can not or will not express it. This is called repressing(压制) anger. For years many doctors thought that compared with expressing anger, repressing anger was more dangerous to a person’s health. It may speed the heart rate, raise blood pressure or sugar into the blood and narrow the blood vessels. To avoid these problems, doctors thought a person should let the anger out by expressing it freely. But recently some doctors disputed this. They said that people who express anger repeatedly and explosively did cause, in fact, more and not less anger. They said these too can cause medical problems.Some doctors say that both repressing and expressing anger can be dangerous. Expressing anger intensively may be more likely to develop heart disease, and keeping anger inside may face a greater danger of high blood pressure. Doctors say the solution is learning how to deal with anger. They say the first step is to admit that you are angry and to recognize the real cause of the anger, then decide if the cause is serious enough to get angry about. If it isn’t, they say," Don’t express your anger while angry. Wait until your anger hascooled down and you are able to express yourself calmly and reasonably. "Doctors say that a good way to deal with anger is to find humor in the situation that has made you angry. They said that laughter is much healthier than anger.52. The passage mainly focuses on ______.A. the causes of angerB. the medical treatment of angerC. the health problems caused by angerD. reasonable ways of dealing with anger53. It can be concluded from the passage that ______.A. keeping anger inside is better than expressing it intensivelyB. both repressing and expressing anger cause health problemsC. keeping anger inside is more likely to cause heart diseaseD. expressing anger freely can avoid medical problems54. The author of the passage is most probably a(n) ______.A. patientB. editorC. psychologistD. surgeon55. According to the passage, a good way to control anger is ______.A. to do sportsB. to be high-spiritedC. to turn it into laughterD. to discuss it with doctorsⅥ. WritingDirections: For this part, you are supposed to write a letter in English in 100-120 words based on the following situation. Remember to write it clearly.61. 你( Li Yuan) 刚收到购的一件商品，但是发现质量有问题，请你写一封投诉信，内容包括：(1) 商品名称、订购时间、地点和价格；(2) 何时发现质量问题、何种质量问题；(3) 你所希望的解决方式。

统考重庆专升本试题及答案重庆专升本考试是针对重庆市专科生升本科的一项重要考试，其试题及答案具有一定难度和专业性，通常由教育部门或专业机构制定。

下面是一个模拟的试题及答案示例，仅供学习和参考之用。

一、选择题1. 计算机科学中，下列哪个概念是指计算机程序的执行过程？A. 编译B. 运行C. 调试D. 编码答案：B2. 在经济学中，通货膨胀是指：A. 商品价格普遍下降B. 货币供应量增加C. 商品价格普遍上升D. 失业率上升答案：C二、填空题1. 根据牛顿第三定律，作用力与反作用力大小相等，方向相反，且作用在________上。

答案：不同物体2. 英语中，"Hello" 是一个________词。

答案：感叹三、简答题1. 请简述数据库管理系统（DBMS）的主要功能。

答案：数据库管理系统（DBMS）的主要功能包括数据存储、数据检索、数据更新、数据保护和数据备份等。

2. 什么是市场经济？它有哪些基本特征？答案：市场经济是一种经济体制，其基本特征包括市场在资源配置中起决定性作用，价格由市场供求关系决定，企业自主经营，消费者自由选择等。

四、计算题1. 某公司年销售额为1000万元，成本为700万元，求该公司的利润率。

答案：利润率 = （销售额 - 成本） / 销售额 * 100% = (1000万- 700万) / 1000万 * 100% = 30%五、论述题1. 论述信息技术在现代教育中的作用和影响。

答案：信息技术在现代教育中起着至关重要的作用。

它不仅改变了教学方式，使得远程教育和在线学习成为可能，还提高了教学效率和质量。

信息技术的应用促进了教育资源的共享，使得学生能够接触到更广泛的知识和信息。

同时，信息技术也对教育管理、教学评价等方面产生了深远的影响。

请注意，以上内容仅为示例，实际的重庆专升本试题及答案应由官方教育考试机构提供。

考生应以官方发布的考试大纲和样题为准进行复习和准备。

2014年普通高等学校招生全国统一考试(重庆卷)数学试题(理)一、选择题：本大题共10小题，每小题5分，共50分．在每小题给出的四个选项中，只有一项是符合题目要求的．1．复平面内表示复数i(1－2i)的点位于( ) A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限2．对任意等比数列{a n }，下列说法一定正确的是( ) A ．a 1，a 3，a 9成等比数列 B ．a 2，a 3，a 6成等比数列 C ．a 2，a 4，a 8成等比数列 D ．a 2，a 3，a 9成等比数列3．已知变量x 与y 正相关，且由观测数据算得样本平均数x ＝3，y ＝3.5，则由该观测数据算得的线性回归方程可能为( )A.y ^＝0.4x ＋2.3B.y ^＝2x －2.4 C.y ^＝－2x ＋9.5 D.y ^＝－0.3x ＋4.44．已知向量a ＝(k,3)，b ＝(1,4)，c ＝(2,1)，且(2a －3b )⊥c ，则实数k ＝( ) A ．－92 B ．0C ．3 D.1525．执行如图所示的程序框图，若输出k 的值为6，则判断框内可填入的条件是( )A ．s >12B ．s >35C ．s >710D ．s >456．已知命题p ：对任意x ∈R ，总有2x >0；q ：“x >1”是“x >2”的充分不必要条件． 则下列命题为真命题的是( ) A ．p ∧q B ．p ∧q C ．p ∧q D ．p ∧q7．某几何体的三视图如图所示，则该几何体的表面积为( )A ．54B ．60C ．66D ．728．设F 1，F 2分别为双曲线x 2a 2－y 2b 2＝1(a >0，b >0)的左、右焦点，双曲线上存在一点P 使得|PF 1|＋|PF 2|＝3b ，|PF 1|·|PF 2|＝94ab ，则该双曲线的离心率为( )A.43B.53C.94 D ．39．某次联欢会要安排3个歌舞类节目、2个小品类节目和1个相声类节目的演出顺序，则同类节目不相邻的排法种数是( )A ．72B ．120C ．144D ．16810．已知△ABC 的内角A ，B ，C 满足sin 2A ＋sin(A －B ＋C )＝sin(C －A －B )＋12，面积满足1≤S ≤2，记a ，b ，c 分别为A ，B ，C 所对的边，则下列不等式一定成立的是( )A ．bc (b ＋c )>8B ．ab (a ＋b )>16 2C ．6≤abc ≤12D ．12≤abc ≤24二、填空题：本大题共6小题，考生作答5小题，每小题5分，共25分．把答案填写在题中横线上．11．设全集U ＝{n ∈N |1≤n ≤10}，A ＝{1,2,3,5,8}，B ＝{1,3,5,7,9}，则(∁U A )∩B ＝________.12．函数f (x )＝log 2x ·log 2(2x )的最小值为________．13．已知直线ax ＋y －2＝0与圆心为C 的圆(x －1)2＋(y －a )2＝4相交于A ，B 两点，且△ABC 为等边三角形，则实数a ＝________.考生注意：14、15、16三题为选做题，请从中任选两题作答，若三题全做，则按前两题给分．14．过圆外一点P 作圆的切线P A (A 为切点)，再作割线PBC 分别交圆于B ，C .若P A ＝6，AC ＝8，BC ＝9，则AB ＝________.15．已知直线l 的参数方程为 (t 为参数)，以坐标原点为极点，x 轴的正半轴为极轴建立极坐标系，曲线C 的极坐标方程为ρsin 2θ－4cos θ＝0(ρ≥0,0≤θ<2π)，则直线l 与曲线C 的公共点的极径ρ＝________.16．若不等式|2x －1|＋|x ＋2|≥a 2＋12a ＋2对任意实数x 恒成立，则实数a 的取值范围是________．三、解答题：本大题共6小题，共75分．解答应写出文字说明，证明过程或演算过程． 17．(本小题满分13分，(1)小问5分，(2)小问8分)已知函数f (x )＝3sin(ωx ＋φ)ω>0，－π2≤φ<π2的图象关于直线x ＝π3对称，且图象上相邻两个最高点的距离为π.(1)求ω和φ的值；(2)若f ⎝⎛⎭⎫α2＝34⎝⎛⎭⎫π6<α<2π3，求cos ⎝⎛⎭⎫α＋3π2的值．18．(本小题满分13分)一盒中装有9张各写有一个数字的卡片，其中4张卡片上的数字是1,3张卡片上的数字是2,2张卡片上的数字是3.从盒中任取3张卡片．(1)求所取3张卡片上的数字完全相同的概率；(2)X 表示所取3张卡片上的数字的中位数，求X 的分布列与数学期望．(注：若三个数a ，b ，c 满足a ≤b ≤c ，则称b 为这三个数的中位数．)19．(本小题满分13分)如图，四棱锥P -ABCD 中，底面是以O 为中心的菱形，PO ⊥底面ABCD ，AB ＝2，∠BAD ＝π3，M 为BC 上一点，且BM ＝12，MP ⊥AP .(1)求PO 的长；(2)求二面角A -PM -C 的正弦值．20．(本小题满分12分，(1)问4分，(2)问3分，(3)问5分)已知函数f (x )＝a e 2x －b e －2x－cx (a ，b ，c ∈R )的导函数f ′(x )为偶函数，且曲线y ＝f (x )在点(0，f (0))处的切线的斜率为4－c .(1)确定a ，b 的值；(2)若c ＝3，判断f (x )的单调性； (3)若f (x )有极值，求c 的取值范围．21．(本小题满分12分，(1)小问5分，(2)小问7分)如题图，设椭圆x 2a 2＋y 2b 2＝1(a >b >0)的左、右焦点分别为F 1，F 2，点D 在椭圆上，DF 1⊥F 1F 2，|F 1F 2||DF 1|＝22，△DF 1F 2的面积为22.(1)求椭圆的标准方程；(2)设圆心在y 轴上的圆与椭圆在x 轴的上方有两个交点，且圆在这两个交点处的两条切线相互垂直并分别过不同的焦点，求圆的半径．22．(本小题满分12分，(1)问4分，(2)问8分)设a 1＝1，a n ＋1＝a 2n －2a n ＋2＋b (n ∈N *)． (1)若b ＝1，求a 2，a 3及数列{a n }的通项公式；(2)若b ＝－1，问：是否存在实数c 使得a 2n <c <a 2n ＋1对所有n ∈N *成立？证明你的结论．答案一、选择题：本大题共10小题，每小题5分，共50分．在每小题给出的四个选项中，只有一项是符合题目要求的．1．解析：选A 复数i(1－2i)＝2＋i 在复平面内对应的点的坐标是(2,1)，位于第一象限． 2．解析：选D 由等比数列的性质得，a 3·a 9＝a 26≠0，因此a 3，a 6，a 9一定成等比数列，选D.3．解析：选A 依题意知，相应的回归直线的斜率应为正，排除C 、D.且直线必过点(3,3.5)代入A 、B 得A 正确．4．解析：选C 因为2a －3b ＝(2k －3，－6)，(2a －3b )⊥c ，所以(2a －3b )·c ＝2(2k －3)－6＝0，解得k ＝3，选C.5．解析：选C 当输出k 的值为6时，s ＝1×910×89×78＝710，结合题中的程序框图知，选C.6．解析：选D 依题意，命题p 是真命题．由x >2⇒x >1，而x >1⇒/x >2，因为此“x >1”是“x >2”的必要不充分条件，故命题q 是假命题，则q 是真命题，p ∧q 是真命题，选D.7．解析：选B 题中的几何体可看作是从直三棱柱ABC －A 1B 1C 1中截去三棱锥E -A 1B 1C 1后所剩余的部分(如图所示)，其中在直三棱柱ABC -A 1B 1C 1中，AB ⊥AC ，AB ＝4，AC ＝3，则BC ＝5，△ABC 的面积等于12×3×4＝6.AA 1⊥平面ABC ，则直角梯形ABEA 1的面积等于12×(2＋5)×4＝14，矩形ACC 1A 1的面积等于3×5＝15.过点E 作EF ⊥AA 1于点F ，则EF ＝AB ＝4，A 1F ＝B 1E ＝BB 1－BE ＝3，则A 1E ＝5，所以△A 1C 1E 的面积等于12×3×5＝152，直角梯形BCC 1E的面积等于12×(2＋5)×5＝352，因此题中的几何体的表面积为6＋14＋15＋152＋352＝60，选B.8．解析：选B 由双曲线的定义得||PF 1|－|PF 2||＝2a ，又|PF 1|＋|PF 2|＝3b ，所以(|PF 1|＋|PF 2|)2－(|PF 1|－|PF 2|)2＝9b 2－4a 2，即4|PF 1|·|PF 2|＝9b 2－4a 2，又4|PF 1|·|PF 2|＝9ab ，因此9b 2－4a 2＝9ab ，即9⎝⎛⎭⎫b a 2－9b a －4＝0，则⎝⎛⎭⎫3b a ＋1⎝⎛⎭⎫3b a －4＝0，解得b a ＝43⎝⎛⎭⎫b a ＝－13舍去，则双曲线的离心率e ＝1＋⎝⎛⎭⎫b a 2＝53.9．解析：选B 依题意，先仅考虑3个歌舞类节目互不相邻的排法种数为A 33A 34＝144，其中3个歌舞类节目互不相邻但2个小品类节目相邻的排法种数为A 22A 22A 33＝24，因此满足题意的排法种数为144－24＝120，选B.10．解析：选A 因为A ＋B ＋C ＝π，由sin 2A ＋sin (A －B ＋C )＝sin (C －A －B )＋12得sin2A ＋sin 2B ＋sin 2C ＝12，即sin[(A ＋B )＋(A －B )]＋sin [(A ＋B )－(A －B )]＋sin 2C ＝12，整理得2sin C cos (A －B )＋2sin C cos C ＝2sin C [cos(A －B )－cos(A ＋B )]＝12，整理得4sin A sin B sin C ＝12，即sin A sin B sin C ＝18.又S ＝12ab sin C ＝12bc sin A ＝12ca sin B ，因此S 3＝18a 2b 2c 2sin A sin B sin C ＝164a 2b 2c 2.由1≤S ≤2得1≤164a 2b 2c 2≤23，即8≤abc ≤162，因此选项C 、D 不一定成立．又b ＋c >a >0，因此bc (b ＋c )>bc ·a ≥8，即bc (b ＋c )>8，选项A 一定成立．又a ＋b >c >0，因此ab (a ＋b )>ab ·c ≥8，即ab (a ＋b )>8，显然不能得出ab (a ＋b )>162，选项B 不一定成立．综上所述，选A.二、填空题：本大题共6小题，考生作答5小题，每小题5分，共25分．把答案填写在题中横线上．11．解析：依题意得U ＝{1,2,3,4,5,6,7,8,9,10}，∁U A ＝{4,6,7,9,10}，(∁U A )∩B ＝{7,9}． 答案：{7,9}12．解析：依题意得f (x )＝12log 2x ·(2＋2log 2x )＝(log 2x )2＋log 2x ＝⎝⎛⎭⎫log 2x ＋142－14≥－14，当且仅当log 2x ＝－12，即x ＝12时等号成立，因此函数f (x )的最小值为－14.答案：－1413．解析：依题意，圆C 的半径是2，圆心C (1，a )到直线ax ＋y －2＝0的距离等于32×2＝3，于是有|1·a ＋a －2|a 2＋1＝3，即a 2－8a ＋1＝0，解得a ＝4±15. 答案：4±15考生注意：14、15、16三题为选做题，请从中任选两题作答，若三题全做，则按前两题给分．14．解析：依题意得△P AC ∽△PBA ，则P A PC ＝AB AC ＝PB P A ，即6PB ＋9＝AB 8＝PB6，解得PB ＝3，AB ＝4.答案：415．解析：依题意，直线l 与曲线C 的直角坐标方程分别是x －y ＋1＝0，y 2＝4x .由得x 2－2x ＋1＝0，解得x ＝1，则y ＝2，因此直线l 与曲线C 的公共点的直角坐标是(1,2)，该点与原点的距离为12＋22＝5，即直线l 与曲线C 的公共点的极径ρ＝ 5.答案： 516．解析：|2x －1|＋|x ＋2|＝⎪⎪⎪⎪x －12＋⎪⎪⎪⎪x －12＋|x ＋2|≥0＋⎪⎪⎪⎪⎝⎛⎭⎫x －12－(x ＋2)＝52，当且仅当x ＝12时取等号，因此函数y ＝|2x －1|＋|x ＋2|的最小值是52.所以a 2＋12a ＋2≤52，即2a 2＋a －1≤0，解得－1≤a ≤12，即实数a 的取值范围是⎣⎡⎦⎤－1，12. 答案：⎣⎡⎦⎤－1，12 三、解答题：本大题共6小题，共75分．解答应写出文字说明，证明过程或演算过程． 17．解析：(1)因f (x )的图象上相邻两个最高点的距离为π，所以f (x )的最小正周期T ＝π，从而ω＝2πT＝2.又因f (x )的图象关于直线x ＝π3对称，所以2×π3＋φ＝k π＋π2，k ＝0，±1，±2，….因－π2≤φ<π2得k ＝0， 所以φ＝π2－2π3＝－π6.(2)由(1)得f ⎝⎛⎭⎫α2＝3sin ⎝⎛⎭⎫2·α2－π6＝34， 所以sin ⎝⎛⎭⎫α－π6＝14. 由π6<α<2π3得0<α－π6<π2， 所以cos ⎝⎛⎭⎫α－π6＝1－sin 2⎝⎛⎭⎫α－π6＝1－⎝⎛⎭⎫142＝154.因此cos ⎝⎛⎭⎫α＋3π2＝sin α ＝sin ⎣⎡⎦⎤⎝⎛⎭⎫α－π6＋π6＝sin ⎝⎛⎭⎫α－π6cos π6＋cos ⎝⎛⎭⎫α－π6sin π6 ＝14×32＋154×12 ＝3＋158. 18．解析：(1)由古典概型中的概率计算公式知所求概率为p ＝C 34＋C 33C 39＝584. (2)X 的所有可能值为1,2,3，且P (X ＝1)＝C 24C 15＋C 34C 39＝1742，P (X ＝2)＝C 13C 14C 12＋C 23C 16＋C 33C 39＝4384， P (X ＝3)＝C 22C 17C 39＝112，故X 的分布列为从而E (X )＝1×1742＋2×4384＋3×112＝4728.19．解析：(1)如图，连接AC ，BD ，OM ，因ABCD 为菱形，则AC ∩BD ＝O ，且AC ⊥BD .以O 为坐标原点，，的方向分别为x 轴、y 轴、z 轴的正方向，建立空间直角坐标O -xyz .因∠BAD ＝π3，故OA ＝AB ·cos π6＝3，OB ＝AB ·sin π6＝1，所以O (0,0,0)，A (3，0,0)，B (0,1,0)，C (－3，0,0)，得⎩⎨⎧34x 2－34y 2＋32z 2＝0，3x 2＋32z 2＝0，故可取n 2＝(1，－3，－2)．从而法向量n 1，n 2的夹角的余弦值为 cos<n 1，n 2>＝n 1·n 2|n 1|·|n 2|＝－155，故所求二面角A -PM -C 的正弦值为105. 20．解析：(1)对f (x )求导得f ′(x )＝2a e 2x ＋2b e －2x－c ，由f ′(x )为偶函数，知f ′(－x )＝f ′(x )，即2(a －b )(e 2x －e－2x)＝0，所以a ＝b .又f ′(0)＝2a ＋2b －c ＝4－c ，故a ＝1，b ＝1.(2)当c ＝3时，f (x )＝e 2x －e －2x－3x ，那么f ′(x )＝2e 2x ＋2e －2x－3≥22e 2x ·2e－2x－3＝1>0，故f (x )在R 上为增函数．(3)由(1)知f ′(x )＝2e 2x ＋2e－2x－c ，而2e 2x ＋2e－2x≥22e 2x ·2e－2x＝4，当x ＝0时等号成立．下面分三种情况进行讨论．当c <4时，对任意x ∈R ，f ′(x )＝2e 2x ＋2e－2x－c >0，此时f (x )无极值； 当c ＝4时，对任意x ≠0，f ′(x )＝2e 2x ＋2e－2x－4>0，此时f (x )无极值；当c >4时，令e 2x＝t ，注意到方程2t ＋2t －c ＝0有两根t 1,2＝c ±c 2－164>0，即f ′(x )＝0有两个根x 1＝12ln t 1或x 2＝12ln t 2.当x 1<x <x 2时f ′(x )<0；又当x >x 2时，f ′(x )>0，从而f (x )在x ＝x 2处取得极小值． 综上，若f (x )有极值，则c 的取值范围为(4，＋∞)． 21．解析：(1)设F 1(－c,0)，F 2(c,0)，共中c 2＝a 2－b 2. 由|F 1F 2||DF 1|＝22得|DF 1|＝|F 1F 2|22＝22c ， 从而S △DF 1F 2＝12|DF 1||F 1F 2|＝22c 2＝22，故c ＝1.从而|DF 1|＝22，由DF 1⊥F 1F 2得|DF 2|2＝|DF 1|2＋|F 1F 2|2＝92，因此|DF 2|＝322. 所以2a ＝|DF 1|＋|DF 2|＝22，故a ＝2，b 2＝a 2－c 2＝1， 因此，所求椭圆的标准方程为x 22＋y 2＝1.(2)如图，设圆心在y 轴上的圆C 与椭圆x 22＋y 2＝1相关，P 1(x 1，y 1)，P 2(x 2，y 2)是两个交点，y 1>0，y 2>0，F 1P 1，F 2P 2是圆C 的切线，且F 1P 1⊥F 2P 2.由圆和椭圆的对称性，易知，x 2＝－x 1，y 1＝y 2，|P 1P 2|＝2|x 1|.由(1)知F 1(－1,0)，F 2(1,0)，再由F 1P 1⊥F 2P 2，得－(x 1＋1)2＋y 21＝0.由椭圆方程得1－x 212＝(x 1＋1)2，即3x 21＋4x 1＝0.解得x 1＝－43或x 1＝0. 当x 1＝0时，P 1，P 2重合，此时题设要求的圆不存在．当x 1＝－43时，过P 1，P 2分别与F 1P 1，F 2P 2垂直的直线的交点即为圆心C .由F 1P 1，F 2P 2是圆C 的切线，且F 1P 1⊥F 2P 2，知CP 1⊥CP 2.又|CP 1|＝|CP 2|，故圆C 的半径|CP 1|＝22|P 1P 2|＝2|x 1|＝423. 22．解析：(1)法一：a 2＝2，a 3＝2＋1， 再由题设条件知(a n ＋1－1)2＝(a n －1)2＋1.从而{(a n －1)2}是首项为0公差为1的等差数列， 故(a n －1)2＝n －1，即a n ＝n －1＋1(n ∈N *)． 法二：a 2＝2，a 3＝2＋1，可写为a 1＝1－1＋1，a 2＝2－1＋1，a 3＝3－1＋1.因此猜想a n ＝n －1＋1. 下用数学归纳法证明上式： 当n ＝1时结论显然成立．假设n ＝k 时结论成立，即a k ＝k －1＋1.则 a k ＋1＝(a k －1)2＋1＋1＝(k －1)＋1＋1＝ (k ＋1)－1＋1.这就是说，当n ＝k ＋1时结论成立． 所以a n ＝n －1＋1(n ∈N *)．(2)法一：设f (x )＝(x －1)2＋1－1，则a n ＋1＝f (a n )． 令c ＝f (c )，即c ＝(c －1)2＋1－1，解得c ＝14.下用数学归纳法证明加强命题a 2n <c <a 2n ＋1<1.当n ＝1时，a 2＝f (1)＝0，a 3＝f (0)＝2－1，所以a 2<14<a 3<1，结论成立．假设n ＝k 时结论成立，即a 2k <c <a 2k ＋1<1. 易知f (x )在(－∞，1]上为减函数， 从而c ＝f (c )>f (a 2k ＋1)>f (1)＝a 2， 即1>c >a 2k ＋2>a 2.再由f (x )在(－∞，1]上为减函数得c ＝f (c )<f (a 2k ＋2)<f (a 2)＝a 3<1.故c <a 2k ＋3<1，因此a 2(k ＋1)<c <a 2(k ＋1)＋1<1.这就是说，当n ＝k ＋1时结论成立． 综上，符合条件得c 存在，其中一个值为c ＝14.法二：设f (x )＝(x －1)2＋1－1，则a n ＋1＝f (a n )． 先证：0≤a n ≤1(n ∈N *)．① 当n ＝1时，结论明显成立． 假设n ＝k 时结论成立，即0≤a k ≤1.易知f (x )在(－∞，1]上为减函数，从而0＝f (1)≤f (a k )≤f (0)＝2－1<1. 即0≤a k ＋1≤1.这就是说，当n ＝k ＋1时结论成立，故①成立． 再证：a 2n <a 2n ＋1(n ∈N *)． ②当n ＝1时，a 2＝f (1)＝0，a 3＝f (a 2)＝f (0)＝2－1，有a 2<a 3，即n ＝1时②成立． 假设n ＝k 时，结论成立，即a 2k <a 2k ＋1， 由①及f (x )在(－∞，1]上为减函数，得 a 2k ＋1＝f (a 2k )>f (a 2k ＋1)＝a 2k ＋2， a 2(k ＋1)＝f (a 2k ＋1)<f (a 2k ＋2)＝a 2(k ＋1)＋1.这就是说，当n ＝k ＋1时②成立，所以②对一切n ∈N *成立． 由②得a 2n <a 22n －2a 2n ＋2－1，即(a 2n ＋1)2<a 22n －2a 2n ＋2，因此a 2n <14.③ 又由①、②及f (x )在(－∞，1]上为减函数得f (a 2n )>f (a 2n ＋1)， 即a 2n ＋1>a 2n ＋2，所以a 2n ＋1>a 22n ＋1－2a 2n ＋1＋2－1.解得a 2n ＋1>14. ④ 综上，由②、③、④知存在c ＝14使a 2n <c <a 2n ＋1对一切n ∈N *成立．。

2014年专升本（英语）真题试卷(题后含答案及解析)题型有：1. Phonetics 3. V ocabulary and Structure 5. Reading Comprehension 6. Cloze 9. Writing 10. Daily ConversationPhonetics1．A．stageB．passageC．percentageD．village正确答案：A2．A．pensionB．extensionC．collisionD．dimension正确答案：C3．A．moveB．jokeC．hopeD．zone正确答案：A4．A．wealthyB．athleteC．beneathD．southern正确答案：D5．A．phraseB．looseC．expose正确答案：BPart I V ocabulary and StructureDirections: Each of the following sentences is provided with four choices. Choose the one that best completes the sentence. Then, mark your answer on the Answer Sheet.6．The relationship between parents and their children ______a strong influence on the character of the children.A．haveB．havingC．to haveD．has正确答案：D7．Only by telling the truth win the trust and support of your friends.A．you canB．can youC．you didD．did you正确答案：B8．These apple trees, ______I planted three years ago, have not borne any fruit.A．thatB．whatC．whichD．when正确答案：C9．Don’t remind me of that awful day : I______such a fool of myself.A．madeB．makeC．will makeD．am making正确答案：A10．My daughter is quite well now______a slight headache.A．besideB．besidesD．except for正确答案：D11．She is treated______better than I was.A．muchB．littleC．manyD．more正确答案：A12．If it had not rained yesterday, they______work on time.A．will finishB．will have finishedC．would finishD．would have finished正确答案：D13．They are studying the Solar System’s______planet, Saturn, and its moons. A．two largestB．largest twoC．second largestD．largest second正确答案：C14．I’d like to go with you: ______, my hands are full at the moment. A．howeverB．whateverC．wheneverD．wherever正确答案：A15．He entered the office hurriedly, ______the door open.A．leavingB．leftC．leaveD．to leave正确答案：A16．He had to quit the job______his ill health.A．asB．as forC．becauseD．because of正确答案：D17．She needs more friends of her own______.A．yearB．ageC．periodD．stage正确答案：B18．______, the training will help you become better at what you do.A．In the seasonB．In the periodC．In the long runD．In the long range正确答案：C19．Sea levels are______to rise between 7 and 23 inches by the end of 21st century.A．inspectedB．suspectedC．expectedD．detected正确答案：C20．Smoking and drinking may______heart disease and cancer.A．result fromB．lead toC．come fromD．get to正确答案：BPart III Reading ComprehensionDirections: In this part there are four passages. Each passage is followed by a number of comprehension questions. Readthe passages and choose the best answer to each question. Then, mark your answer by blackening the corresponding letter on the Answer Sheet.At first glance, there hardly seems to be any comparison between Ravenna and Rome, but back in the 5th century, it was Ravenna that served as capital of the Western Roman Empire. In this city, Roman rulers built monuments which are famous, then and now, for their sweeping mosaics(镶嵌图案). Seven of Ravenna’s eight buildings from the 5 th and 6th centuries are spectacularly decorated with examples of this ancient art. “ In the past, many people couldn’t read or write, “ says tour guide and Ravenna native Silvia Giogoli. “Mosaics were a way to explain the religion and the political situation to the people. “Visitors to Ravenna can look at pieces of art by ancient artists, listen to musicians, and learn to make their own masterpieces. Travel Tips When to Go: June—October: weather is pleasant in April and May but historic sites can get crowded with school groups. Where to Stay:Walk through historic district sites from Albergo Cappello and stay at a modern Hotel Centrale Byron. How to Get Around: Take the train from Bologna, and then walk, bike, or use taxis within the city. Where to Eat or Drink: Housed in a former movie theater, two-storey Ristorante Cinema Alexander blends 1940s Hollywood flavor with homemade Emilia Romagna courses and attentive service(helpful in translating the menu). For fresh seafood, try Osteria L’Accigua and Da Buco. What to Buy: Watch the next generation of Emilia Romagna mosaic artists create contemporary and traditional pieces in local studios where modern artists use the same methods as their Byzantine forefathers. What to Read Before You Go: Ravenna in Late Antiquity, by Deborah Mauskopf Deliyannis(2010), provides a wide-ranging look at the city’s art, architecture, and history.21．In ancient times, mosaics were used to______.A．display artistic achievementsB．compete with Roman paintingsC．explain religion and politicsD．teach reading and writing正确答案：C22．Lots of school children visit historic sites such as Ravenna in______.A．MayB．JuneC．SeptemberD．October正确答案：A23．If you want to try fresh seafood, you should go to______.A．Emilia RomagnaB．Hotel Centrale ByronC．Ristorante Cinema AlexanderD．Osteria L’Accigua and Da Buco正确答案：D24．Why is Ravenna in Late Antiquity recommended in this passage?A．Because it was written by a famous writer.B．Because tourists get to learn a lot about the city from it.C．Because tourists can get valuable tips for buying art pieces.D．Because it provides useful information about the city’s weather.正确答案：BWhen you pat your pet dog, he wags(摆来摆去)his tail. That is his way of saying that he loves you. And, if you pay attention, you will see that he uses his tail to say so many things. Every movement of the tail means a different thing. If the dog is wagging its tail, it is a sign of friendliness: if his tail is straight, it means he is getting ready for a fight: and if his tail is tucked(塞)behind his legs, it means he is giving up the fight. Unlike dogs, cats’ tail language is not so expressive. When a cat feels threatened, he puffs himself up to appear big and his tail shakes with tension. And when he is displeased with something, he lashes out(甩动)his tail. The tail language of dogs and cats has a little story behind it. Earlier, when dogs and cats had not become friends with human beings, they were predators. They used to hunt other animals for their food. When dogs went out hunting with their friends, tail language came handy. When they were close to each other, dogs could use facial expressions to talk. But, for long-distance communication, they used their tails. Unlike dogs, cats liked to hunt alone. So, they did not need to use tail language too often. As a result, their vocabulary in tail language is much smaller than that of dogs’.25．What does it mean when a dog’s tail is straight?A．It has a lot to say to you.B．It wants to stop fighting.C．It is going to fight.D．It likes to be patted.正确答案：C26．A cat tries to appear big when it is______.A．facing a dangerB．unhappyC．ready to huntD．hungry正确答案：A27．Which of the following does the author intend to say?A．Dogs and cats are not good friends.B．Dogs are much friendlier than cats.C．Dogs and cats are usually good pets.D．Dogs use tail language more than cats.正确答案：D28．In the last paragraph, the underlined word “predators” refers to______.A．animals that follow and obey other animalsB．animals that kill and eat other animalsC．animals that live in the wildD．animals kept by people正确答案：BLike any teenagers, the face of One Teen Story is changing fast. Just a year old, the monthly magazine of short fiction for young people is getting a new editor-in-chief:Patrick Ryan, 47 , the associate editor of Granta from 2009 to 2013. He left the London-based literary journal last month. Editing One Teen Story—the younger sibling(姊妹篇)of One Story magazine—will offer Ryan a chance to reach a whole new audience. “It’s really the only magazine for young adult short fiction, “ he says from his office in New York. “ It’s tremendously exciting that there are younger people out there who have subscriptions and look forward to getting these stories once a month. That form is usually only presented when it’s forced upon them in schools. “Designed for readers 14 and up, One Teen Story publishes nine issues a year. Like its sibling magazine, it doesn’t carry photographs or advertising. It’s just exactly what it says: one story per issue. Ryan says young people are “looking for engaging reads about people whom they can identify with. It’s not about having a message or positive spin(说教). It always starts on a character level, and it has to have an interesting story. If you look at the ‘ Twilight’ characters and the ‘ Harry Potter’characters, they feel very contemporary. “Ryan also sees the magazine as a way to encourage talented authors. “I would love to make One Teen Story the first publication for writers who then go on and keep at this business. I just really love the idea that this magazine would be the starting point for somebody—would be the push to make a talented writer feel that it was worth keeping at this. “29．Who is Patrick Ryan?A．He is the editor-in-chief of Granta.B．He is the editor-in-chief of One Story.C．He is the editor-in-chief of “Twilight”.D．He is the editor-in-chief of One Teen Story.正确答案：D30．What is One Teen Story?A．It is a story magazine for teenagers.B．It is a London-based literary journal.C．It is a column of a newspaper.D．It is a magazine of science fiction.正确答案：A31．According to Ryan, what attracts young readers most?A．Photographs and illustration.B．Chances and practices in business.C．Characters and stories close to their life.D．Political teachings and moral messages.正确答案：C32．In the last paragraph, the underlined phrase “this business” means______.A．reading storiesB．writing storiesC．editing magazinesD．making money正确答案：BCouples are restricting the size of their families in the UK because of cash worries brought on by the financial crisis and the subsequent decline. We’re now up to nearly 3. 7 million families where there is an only child, a rise from about 3. 3 million in 2005. That means nearly half of all parents have only one child. Financial worries aren’t the only driver. The trend towards later motherhood has been mentioned as a cause, as have soaring costs of raising a child, which have been calculated as ￡222, 500 from birth to 21 years of age. This is an increase of nearly 40% in 10 years. The increasing availability of IVF(试管婴儿)is also a factor and an interesting one. Couples who might have remained childless in the past now invest in IVF and get pregnant. And because of the cost they stop after one child. It may not be a bad thing: there are outstanding examples of talented only children. Some argue that being an only child promoted their success. These include actors Natalie Portman and Al Paci-no, golfer Tiger Woods and even Queen Victoria. A study from the Institute for Social and Economic Research at the University of Essex also showedthat the fewer brothers and sisters a child has, the happier they are. It seems fighting for parental attention and affection—which sometimes descends into physical fights —is more stressful than any adult had previously thought. And it’s not compensated(弥补)by having a playmate.33．The smaller size of UK families is mainly related to______.A．financial problemsB．technical problemsC．health problemsD．cultural problems正确答案：A34．The passage shows that IVF is______.A．safer than natural pregnancyB．very popular in UKC．very expensiveD．a risky investment正确答案：C35．What is a proved advantage of one-child family?A．Improved family life.B．Higher number of sports stars.C．Efficient family education.D．Promotion of children’s success.正确答案：D36．The findings of the institute at the University of Essex might mean that______.A．the only children’s lack of playmates causes problemsB．the only children are much happier than othersC．parents-children relationship is off balanceD．children have to struggle for parental love正确答案：BAbout 79 million Americans have pre-diabetes(糖尿病前期). That means they have blood sugar that’s higher than normal but not high enough to be diagnosed(诊断)with type 2—at least not yet. One long-term study reported by the American Diabetes Association found that 11 % of people with pre-diabetes develop the full-blown disease each year. Another study shows that pre-diabetes will probablybecome type 2 in 10 years or less. Yet, that process is not inevitable. Last year, scientists in Colorado found that people with pre-diabetes who lowered their blood sugar to normal levels—even briefly—were 56% less likely to reach type 2 levels. If you have pre-diabetes, here are four steps to help prevent or delay a diabetes diagnosis: Lose 7% of your body weight. That is about 15 pounds for the persons who weigh 200. Dropping that small percentage has been shown to lower the risk of developing type 2 by close to 60%. Exercise 30 minutes five days a week. Whether you do the 30 minutes in one shot or in three 10-minute sessions, the benefit is the same. Choose certain exercises, such as fast walking, playing tennis or lifting weights. Physical activity such as sweeping floors works, too. Turn to your doctor. In some cases, pre-diabetes raises the risk of heart disease and stroke by 50%. Your doctor may use some medicine to control your glucose(葡萄糖)levels and keep your blood pressure in check. Know your numbers. To see if your pre-diabetes is improving, have your blood sugar checked regularly. A fasting blood sugar of 100 to 125 mg/dl suggests pre-diabetes: 126 mg/dl or above is diabetes: and below 100 is normal. Other tests, including glucose tolerance and AIC, also are used to monitor blood sugar.37．What do we learn from the two studies mentioned in Paragraph 1?A．Pre-diabetes will surely become type 2 diabetes.B．Pre-diabetes is likely to become diabetes within years.C．Enough attention should be paid to the treatment of type 2.D．Pre-diabetes is ranked No. 1 danger threatening Americans’ health.正确答案：B38．To prevent or delay a diabetes diagnosis, people with pre-diabetes should pay most attention to______.A．glucose levelsB．exercisesC．heart diseaseD．stroke正确答案：A39．Which of the following suggests that you have pre-diabetes?A．70 mg/dl.B．90 mg/dl.C．110 mg/dl.D．130 mg/dl.正确答案：C40．What column of a newspaper is most likely to have this article?A．Technology.B．Entertainment.C．Education.D．Health.正确答案：DPart IV ClozeDirections: There are some blanks in the following passages. For each blank there are four choices marked A, B, C and D. You should choose the one that best fits into the passages. Then, mark the corresponding letter on the Answer Sheet.The Nobel Prizes are awards that are given each year for special things that people or groups of people have achieved. They are awarded in six【C1】______: physics, chemistry, medicine, literature, peace and economics. The prizes come from【C2】______that was created by the Swedish inventor Alfred Nobel. He wanted to use some of his money to help make the world a【C3】______place to live in. Many organizations, chosen by Alfred Nobel himself, 【C4】______who receives the prizes. Each award【C5】______a gold medal, a diploma and a lot of money. Prizes can only be given to【C6】______of all races, countries and religions. Only the Peace Prize can【C7】______be given to a group. The first Nobel Prizes were handed out 【C8】______December 10, 1901—five years after Alfred Nobel’s death. Nobel was a chemist, engineer and inventor【C9】______most famous invention, dynamite(炸药), made him a【C10】______man. Although he gave the world such a【C11】______weapon, Nobel was always against wars and【C12】______He therefore left a lot of money that was to go to those who did a lot for the peace of【C13】______ Officials at first handed out only five prizes a year. The prize for economics was first awarded in 1969. In some【C14】______prizes were not awarded because there were no【C15】______candidates. All prizes are presented in Stockholm, Sweden, with the exception of the Peace Prize, which is awarded in Oslo, Norway.41．【C1】A．partsB．areasC．regionsD．classes正确答案：B42．【C2】A．a bondB．a fundC．a scholarship D．an investment正确答案：B43．【C3】A．cleaner B．richer C．better D．larger正确答案：C44．【C4】A．declare B．conclude C．determine D．announce正确答案：C45．【C5】A．makes up B．focuses on C．refers to D．consists of正确答案：D46．【C6】A．organizations B．singles C．institutions D．individuals正确答案：D47．【C7】A．yetB．alsoC．still D．ever正确答案：B48．【C8】A．onB．inC．atD．by正确答案：A49．【C9】A．who B．that C．whose D．whom正确答案：C50．【C10】A．humorous B．rich C．serious D．smart正确答案：B51．【C11】A．strange B．mysterious C．magic D．deadly正确答案：D52．【C12】A．violence B．hatred C．confusion D．jealousy 正确答案：A53．【C13】A．races B．regionsC．mindD．mankind正确答案：D54．【C14】A．yearsB．yearC．timeD．times正确答案：A55．【C15】A．valuableB．invaluableC．worthyD．worthwhile正确答案：CPart VII Writing56．For this part, you are supposed to write an essay in English in 100 ~ 120 words based on the following information. Remember to write it clearly.你(Li Yuan)的班级即将组织一次郊游(picnic)，请你给你的外籍教师(Steve)写封信，内容包括：邀请他参加此项活动；介绍活动的具体安排和内容(如时间、地点等)；告知需要做的准备(如着装、自备午餐等)；希望他参加并尽快给予答复。