2016年SQS精英选拔题目
【英语】河南省三门峡市陕州中学2015-2016学年高二下学期第二次精英对抗赛试题
2015-2016学年下期高二第二次精英对抗赛英语试卷时间：110分钟分值：150分第Ⅰ卷（选择题共70分）第一部分：听力（略）第二部分：阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，共30分）阅读下面短文，从每题所给的A、B、C、D 四个选项中选出最佳答案。
AWedding took place in a Birmingham hotel. The bride and her father arrived in a new black American sports car. Her father looked nervous and uncomfortable in front of the cameras. The bride wore a silk wedding dress. She smiled nervously at the waiting photographers and went to a room on the first floor where she met her future husband for the very first time.Carla Germaine and Greg Cordell were the winners of a radio station’s competition. The aimof the competition was to find two strangers prepared to marry without having met each other. Miss Germaine，23，is a model. Mr. Cordell，27，is a TV salesman. They were among the two hundred people who entered for a peculiar“experiment”organized by BMRB radio in Birmingham，England. Greg and Carla were among eight finalists who were interviewed live on radio. Theytook a lie detector（测谎仪）test and the station also spoke to their friends and family about their personalities. The competition judges included an astrologer（占星家）who declared that they were suited.The couple celebrated their wedding with a wedding breakfast and a party for 100 guests in the evening，but not everyone shared their joy. Miss Germaine’s mother looked anxious throughout the wedding and Mr. Cordell’s parents are reported to be less than de lighted.Organizations，including the marriage guidance service Relate，have criticized the marriage. As one person put it，“We have enough problems getting young people to take marriage seriously without this. Marriage should always be about love. ”The couple are now on a Caribbean honeymoon followed by journalists.Their other prizes include a year’s free use of a wonderful apartment in the centre of Birmingham，and a car. But will it last?21. How did the couple’s parents react to the we dding?A. The bride’s mother shared their joy.B. The bride’s father felt uncomfortable about the wedding.C. The bridegroom’s parents were quite delighted.D. The bridegroom’s parents were not that joyful.22. Some experts believe that ______.A. mar riage without the couple’s meeting each other first ends up in divorceB. young people nowadays are too careless about marriageC. taking a lie detector test can not solve all the marriage problemsD. most young people take marriage seriously except this couple23. One of the prizes for the couple is ______.A. to spend their honeymoon wherever they likeB. to use an apartment free for some timeC. to have a wedding dress freeD. to own an American sports car24. Which of the following is the best title of the passage?A. Two Strangers and a WeddingB. A Wedding Based on LoveC. A Short-Lived MarriageD. A Well-Matched CoupleBHow often one hears children wishing they were grown up, and old people wishing they were young again. Each age has its pleasures and its pains, and the happiest person is the one who enjoys what each age gives him without wasting his time in useless regrets.Childhood is a time when there are few responsibilities to make life difficult. If a child has good parents, he is fed, looked after and loved, whatever he may do. It is impossible that he will ever again in his life be given so much without having to do anything in return. In addition, life is always presenting new things to the child-things that have lost their interest for older people because they are too well-known. But a child has his parents, he is not so free to do what he wishes to do. He is continually being told not to do things or being punished for what he has donewrong. When the young man starts to earn his own living, he can no longer expect others to pay for his food, his clothes, and his room, but has to work if he wants to live comfortably. If he spends most of his time playing about in the way that he used to as a child, he will go hungry. And if he breaks the laws of society as he used to break the laws of his parents, he may go to prison. If, however, he works hard, keeps out of trouble and has good health, he can have the great happiness of building up for himself his own position in society.25. According to the second paragraph, the writer thinks that _______.A. life for a child is comparatively easyB. a child is always loved whatever he doesC. if much is given to a child, he must do something in returnD. only children are interested in life26. Which of the following statements is NOT true according to the passage?A. People are often satisfied with their life.B. Life is less interesting for old people.C. Adults are freer to do what they want to do.D. Adults should no longer rely on others.27. The main idea of the passage is ________.A. life is not enjoyable since each age has some painsB. young men can have the greatest happiness if they work hardC. childhood is the most enjoyable time in one’s lifeD. one is the happiest if he can make good use of each age in his life28. The paragraph following this passage will most probably discuss _______.A. examples of successful young menB. how to build up one’s position in societyC. joys and pains of old peopleD. what to do when one has problems in lifeCMr. Handsome2007-5-126: 34 AM著作Mitchell pages by cutting 30 to 40 percent of original, with words, sentences, paragraphs and, in ￡with plans for 50 to 100 more to follow. The publishing house believes that modern readers will welcome the shorter versions.Mr. Edwards2007-5-129: 40 AM was required to confess (I admitted that Gone with the Wind 读we never were going to read these ones.readers but it’s not as if we’re withdrawing the original versions. They are still the if you want to read them.Ms. Weir2007-5-1211:35AM of never having read two shortened classics!29. In Mr. Edwards’ opinion, Orion Group is shortening classics to _________.A. make them easier to readB. meet a large demand in the marketC. increase the sales of literary booksD. compete with their original versions30. By describing the shortened classics as “a breath of fresh air ”, Ms. Weir ________.A. speaks highly of the cut-down classicsB. shows her love for original classicsC. feels guilty of not reading the classicsD. disapprove of shortening the classics31. Mr. Crockatt seems to imply that _________.A. reading the classic works is a confusing attemptB. shortening the classics does harm to the originalC. publishing the cut-down classics is a difficult jobD. editing the classic works satisfies children’s needsD“Soon ，you’re going to have to move out!” cried my neighbor upon seeing the largest tomato plant known to mankind ，or at least known in my neighborhood.One tiny 9-inch plant ，bought for $1.25 in the spring ，has already taken over much of my rose bed, covering much of other plants, and is well on its way to the front door.Roses require a good deal of c are, and if it weren’t for the pleasure they give, it wouldn’t be worth the work. As it is, I have a garden full of sweet-smelling roses for most of the year. Bushes must be pruned(剪枝) in early spring, leaving ugly woody branches until the new growth appears a few weeks later. It was the space available(可用的) in the garden that led me into planting just one little tomato plant. A big mistake.Mr. Crockatt2007-5-124:38 PMclassics? I’m afraid reading some of these books is hard work, and that is why you have to develop as a reader. If people don’t have time to read fine. But doSoil conditions made just perfect for roses turn out to be even more perfect for tomatoes. The daily watering coupled with full sun and regular fertilizing（施肥）have turned the little plant into a tall bush. The cage I placed around it as the plant grew has long since disappeared under the thick leaves.Now the task I face in harvesting the fruit is twofold: First, I have to find the red ones among the leaves, which means I almost have to stand on my head, and once found I have to reach down and under, pick the tomatoes and withdraw(缩回) my full fist without dropping the prize so dearly won. Second, I found two full-blown white roses completely hidden as I picked tomatoes in June，but they were weak and the leaves already yellow for lack of light.Here I am faced with a painful small decision: To tear up a wonderful and productive tomato plant that offers up between ten and twenty ripe sweet tomatoes each day or say goodbye to several expensive and treasured roses. Like Scarlett in Gone With the Wind，I’ll think about that tomorrow.32. What are the requirements for the healthy growth of roses ?A. A lot of care and the right soil.B. Frequent pruning and fertilizing.C. Tomato plants grown alongside.D. Cages placed around the roots.33. The writer planted the tomato because _________.A. it cost only $1.25B. the soil was just right for itC. there was room for it in the gardenD. the roses’ branches needed to be covered34. This year the writer’s roses were __________.A. removed from the rose bedB. picked along with the tomatoesC. mostly damaged by too much sunlightD. largely hidden under the tomato plant35. By saying “the prize so dearly won” in paragraph 5, the writer wants to ________.A. show the difficulty in picking the tomatoesB. show the hardship of growing the rosesC. express her liking for the rosesD. express her care for the tomatoes第二节（共5小题：每小题2分,满分10分）根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
2016年世界少年奥数赛七年级海选赛试题及答案解析
世界少年奥林匹克数学竞赛（中国区）选拔赛地方海选赛（2016年10月）选手须知：1、本卷共三部分，第一部分：填空题，共计50分；第二部分：计算题，共计12分；第三部分：解答题，共计58分。
2、答题前请将自己的姓名、学校、赛场、参赛证号码写在规定的位置。
3、比赛时不能使用计算工具。
4、比赛完毕时试卷和草稿纸将被收回。
七年级试题（Ａ卷）（本试卷满分120分，考试时间90分钟）一、填空题。
（每题5分，共计50分）1、用200千克花生可榨油25千克，如此计算，用15吨花生可以榨油吨。
2、把110厘米长的铁丝焊成一个长方体的框架，长是宽的两倍，宽是高的1.5倍。
则这个长方体的长厘米，宽厘米，高厘米。
3、某商品按20﹪的利润定价，然后按八八折出售，实际获得利润84元。
则商品的成本元。
4、某中学学生中83是男生，男生比女生少250人，则该中学有人。
5、若04312=-+-y x ，求=+y x 。
6、一项工程，如果单独做，甲、乙各需10天完成，丙需7.5天完成，现在三人合作，在做的过程中，甲外出1天，丙休息0.5天，结果一共用了天完成。
7、有五张牌，分别写着2、3、4、5、6，其中三张是反着的，从中任意取出一张，若为单数就是甲赢，若为双数就是乙赢，则赢的可能性大。
8、甲、乙两种酒精浓度分别为70﹪和50﹪，现在要配制65﹪的酒精3000克，应当从甲种酒精中取克，乙种酒精中取克。
9、在一个长为4厘米的正方体的前后、上下、左右各面的中心位置挖去一个底面半径为1厘米、高为1厘米的圆柱，则挖去后物体的表面积为。
（圆周率用3.14计算）10、|3-x ||2-x ||1x |+++的最小值是____。
二、计算题。
（每题6分，共计12分）11、2117121117433221741÷+⎪⎭⎫⎝⎛-⨯12、102418141211-⋯----三、解答题。
（第13题6分，第14题8分，第15题10分，第16题10分，第17题12分，第18题12分，共计58分）13、已知在数轴上，点A 与原点之间的距离是点A 与30所对应的点之间的距离的4倍，那么点A 所表示的数是多少？14、a 与b 互为相反数，且1,54|b -a |2+++-=ab a b ab a 求的值。
2016年全国大学生英语竞赛D类样题参考答案
2016National English Competition forCollege Students(Level D-Sample)参考答案及评分标准Part I.Listening Comprehension(30marks)Section A(5marks)1—5BABDCSection B(10marks)6—10CBDCA11—15BADBDSection C(5marks)16—20ACADBSection D(10marks)21.due to22.responsible to23.theoretical powers24.representing25.identify with 26.worries and anxieties27.wealthiest28.rather than29.makes a profit30.take into accountPart II Vocabulary,Grammar and Culture(15marks)Section A Vocabulary and Grammar(10marks)31—35ADABD36—40ACDDCSection B Culture(5marks)41—45ADDBCPart III Cloze(10marks)46.risen47.sing48.drastically49.maximum50.where51.increasing52.being53.without54.However55.dangerPart IV Reading Comprehension(35marks)Section A(5marks)56—60TFFFTSection B(10marks)61—65FCDBASection C(10marks)66.Pizza.67.Similarity:They are both fast food.Difference:The pizza is easy to make,easy to serve,much more varied than the hamburger.1--68.The Greeks.69.Because it is Mexico and Peru that provide the tomatoes pizza needs.70.After World War II.Section D(10marks)71.effective72.break easily73.snakebots74.modules75.versatility and affordabiliyPart V Translation(15marks)I(5marks)76.由于英国地铁图清晰且彩色编制，乘客乘坐地铁不会有太大问题。
河南省三门峡市2016届高三第二次精英对抗赛英语试题及答案
2015-2016学年上期高三第二次精英对抗赛英语试卷第I卷注意事项:1. 答第I卷前，考生务必将自己的姓名、考生号填写在答题卡上。
2. 选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其他答案标号。
不能答在本试卷上，否则无效。
第二部分阅读理解(共两节，满分40分)第一节 (共15小题；每小题2分，满分30分)阅读下列短文，从每题所给的四个选项(A、B、C、和D)中，选出最佳选项，并在答题卡上将该项涂黑。
ASports are the base of my life, next to my mother who raised me when my dad left us. I have been into sports since I was six years old. I have known many coaches and heard hundreds of their tips, but they usually focused on drills to develop my skills and reach the next level of play.When I was in Senior Two, I met the new school basketball coach, Brian Pawloski. I thought I was certain to be selected for the school team since I had been in it the year before. I showed up to the tryouts and put out about 90% effo rt since I thought I’d make it with no problem. That was a big mistake.Brian Pawloski is the hardest-working coach I have ever met. He didn’t expect 100% effort, he expected 200% effort. One example: he once made us do 40 suicide drills for the 40 lay-ups (投篮) we missed in a game. Some think this is crazy, but it isn’t. After this conditioning practice, as we were getting a cup of cold water to drink, I said, “coach, that was the best practice I ever had.” I was completely sincere. This man was and is the person who influenced me most at my high school. He expects us to be excellent not just on the court but in the classroom. If I am not working on basketball, I am reading a book that he thinks will help us better understand life’s challenges, including Wooden, Coach, and The Screwtape Letters.coaches of my youth, this man was interested in how he did off the court. He always made sure I kept up with my studies and was able to be trusted. I can honestly say that no othercoach has given me so much advice on how to succeed in basketball, but more importantly, in life. My school is lucky to have such a great person to teach, coach and influence their students. I will always remember my high-school basketball days as one of the hardest times I have ever worked in my life not only in basketball but in my growth as an individual.21. Different from other coaches, Coach Brian ________.A. concentrated on skill trainingB. expected the team to do well in their studiesC. trained the team to the edge of deathD. asked the team to do more reading than training22. The underlined phrase “slacked off” in the last paragraph probably means ________.A. paid no attentionB. showed no interestC. made less effortD. had less passion23. In the author’s eye, Coach Brian is ________.A. professional and seriousB. hardworking and honestC. skilled and cruelD. strict and helpfulBThe Netherlands on Monday introduced its first-ever intelligent bicycle, fitted with electronic devices to help bring down the high accident rate among elderly cyclists in the bicycle-mad country.Developed for the government by the Netherlands Organization for Applied Scientific Research (TNO), the intelligent bicycle, runs on electricity. A commercial-available bicycle is expected to be on the market in the next two years and should sell for between 1, 700 to 3, 200euros per bicycle.The devices on the bike are linked through an onboard computerwith a vibrating (震动的) warning system fitted in the bicycle's saddleand handlebars to warn cyclists of the coming danger.The saddle vibrates when other cyclists approach from behind,while, the handlebars do the same when barriers appear ahead."Accidents often happen when cyclists look behind them or get a fright when they are passed at high speed," said Maurice Kwakkernaat, one of TNO's research scientists involved in the project. "The onboard system technology has already been at work in the car industry," he said.''More and more elderly people are using a bicycle, not only for short distances, but also for longer distances," Dutch Environment and Infrastructure Minister Melanie Schultz van Haegen told AFP. "This type of bicycle is truly needed in the Netherlands because it will helpus bring down the number of elderly people who are injured every year and allow them to continue to enjoy cycling," she said.In the Netherlands, bicycles outnumber the population of 17 million by at least one million and there are some 25,000 km of bicycle path in the country. Those statistics are set to grow as more and more people take to two-wheeled transport, leading to an increased risk of injury.Last year, 184 cyclists died in the country, of which 124, or 67%, were older than 65, according to the Central Statistics Office. The year before, 200 cyclists died, the majority of victims also being elderly.The current model weighs 25 kilograms but researchers are working on making the onboard systems smaller.24. The intelligent bicycle is aimed to ________.A. protect the environmentB. help reduce traffic pressureC. popularize the use of bicyclesD. improve safety for elderly cyclists25. Which part of the intelligent bicycle will vibrate when another cyclist was suddenly foundahead?A. The handlebars.B. The wheels.C. The saddle.D. The onboard computer.26. We can learn from the passage that ________.A. the elderly ride bicycles wherever they goB. the accident rate among elderly cyclists is highC. the number of elderly cyclists is decreasingD. the elderly are planning to give up cycling27. Which is the best title for the passage?A. A Test BicycleB. Elderly CyclistsC. A Smart BicycleD. A Bicycle-mad CountryCYou can love them or hate them, but no matter which tourist destination you visit, chances are you'll see someone with their head buried in a Lonely Planet guidebook.Lonely Planet is one of the world's largest travel guide brands, publishing more than 500 different guides in eight languages. The popular brand also produces television shows, websites and podcasts (播客) all devoted to travel.Some people praise Lonely Planet books because they make traveling easy and affordable. They also save time and make sure you don't miss the best things.They also provide the reviews of hostels, hotels, restaurants and ticket information about your destination.This can be great if you're a nervous traveler, or if you haven't traveled by yourself before. If you're in a country where you don't speak the language, sometimes there's nothing better than getting into a taxi and opening up a guidebook. You simply point to a map that directs the taxi driver to a hostel that's cheap and clean, with friendly staff and cold beer.But others criticize Lonely Planet and other travel guide publishers like them. They say guidebooks take the fun and spontaneity (自发性) out of traveling, and that part of the enjoyment of travel comes from the fact that anything can happen. They also regret that if you follow a guidebook, you'll end up doing the same thing and having the same experience as everyone else. You might end up seeing the same group of people over and over, because everyone is reading the same book and following the same route.Another criticism of travel guides is that they have a large impact on local communities. For example, some locals devote their lives to behaving in ways that attract tourists. They pretend to live a traditional lifestyle, wear traditional clothes and live in traditional houses in order to attract the tourist dollar.28. The Lonely Planet guidebook can bring you the following advantages EXCEPT that _____.A. you can speak a foreign language when opening a guidebookB. you can easily find a nice place to stay in a strange cityC. it provides lots of useful information about your destinationD. it can help you save time and money when traveling29. People criticize the guidebook because ________.A. it is not as useful as most travelers expectB. tourist destinations will be crowded if everyone follows the same routeC. travelers may not get the chance to have unexpected adventuresD. local people keep modern lifestyles under its influence30. What do we know about the Lonely Planet guidebook from the text?A. It's a world-famous brand only producing guidebooks for travelers.B. It's very useful to a person who's nervous about touring an unfamiliar place.C. It's very useful to a tourist who dosen’t like to repeat others' experiences.D. It is loved by all travelers because of the convenience it brings to travelers.31. Which of the following best shows the structure of the text? (①－⑦stand for Paragraph l －Paragraph 7 )A B C DDImagine a world in which there were suddenly no emotion — a world in which human beings could feel no love or happiness, no terror or hate. Try to imagine the consequences of such a transformation. People might not be able to stay alive: knowing neither joy nor pleasure, anxiety nor fear, they would be as likely to repeat acts that hurt them as acts that were beneficial. They could not learn: they could not benefit from experience because this emotionless world would lack rewards and punishments. Society would soon disappear: people would be as likely to harm one another as to provide help and support. Human relationships would not exist: in a world without friends or enemies, there could be no marriage, affection among companions, or bonds among members of groups. Society's economic underpinnings (支柱) would be destroyed: since earning $10 million would be no more pleasant than earning $10, there would be no incentive (动力) to work. In fact, there would be no incentives of any kind, for as we will see, incentives mean a capacity to enjoy them.In such a world, the chances that the human species would survive are next to zero, because emotions are the basic instruments of our survival and adaptation. Emotions structure the world for us in important ways. As individuals, we categorize objects on the basis of our emotions. True, we consider the length, shape, size or texture, but an object's physical aspects are less important than what it has done or can do to us — hurt us, surprise us, anger us or make us joyful. We also use categorizations colored by emotions in our families, communities, and overall society. Out of our emotional experience with objects and events comes a social feeling of agreement that certain things and actions are "good" and others are "bad", and we apply these categories to every aspect of our social life — from what foods we eat and what clothes we wear to how we keep promises and which people our group will accept. In fact, society uses our emotional reactions and attitudes, such as loyalty, morality, pride, shame, guilt, fear and greed, in order to maintain itself. It gives high rewards to individuals who perform important tasks such as surgery, makes heroes out of individuals for unusual or dangerous achievements such as flying fighter planes in a war, and uses the legal penal (刑法的) system to make people afraid to engage in antisocial acts.32. Which of the following is TRUE according to the first paragraph?A. people would not be able to tell the physical aspects of objects.B. people would be more likely to hurt each other than help.each other.C. People would not get any improvement from experience.D. There would be nothing but lies, arguments and violence.33. In can be inferred from the passage that the economic foundation of society is dependenton ________.A. the ability to make moneyB. the capacity to workC. the motivation to workD. the emotional experience34. Why are the emotional aspects of an object more important than its physical aspects?A. They help society use its members for more profit.B. They encourage us to perform important tasks in the war.C. They help to perfect the legal and penal system to make people afraid.D. They help us adapt our behaviors to the world surrounding us.35. What is the text mainly about?A. People could only live in a world with positive emotions.B. People would always do bad things in the emotionless world.C. Emotions play a vital role in the world we are living in.D. Without emotions, nobody would like to work.第二节(共5小题，每小题2分，满分10分)根据短文内容，从短文后的选项中选出能填入空白处的最佳选项，选项中有两项为多余选项。
2016年世少赛五年级海选赛真题试卷(A卷)
五年级第1页五年级第2页绝密★启用前世界少年奥林匹克数学竞赛（中国区）选拔赛地方海选赛（2016年10月）选手须知：1、本卷共三部分，第一部分：填空题，共计50分；第二部分：计算题，共计12分；第三部分：解答题，共计58分。
2、答题前请将自己的姓名、学校、赛场、参赛证号码写在规定的位置。
3、比赛时不能使用计算工具。
4、比赛完毕时试卷和草稿纸将被收回。
五年级试题（Ａ卷）（本试卷满分120分，考试时间90分钟）一、填空题。
（每题5分，共计50分）1、一瓶喝去一半水的矿泉水连瓶子重310克，已知瓶子10克，则一瓶矿泉水连瓶子重克。
4、一列数，第一个数是3，第二个数是4，从第三个数开始，每个数是前两个数之和，问这列数的第2016个数除以3余。
5、学校钟楼的大钟3点钟敲3下，用了6秒，9点时敲9下用了秒。
6、如图有一长方形草坪，长30米，宽25米，草坪中间留了宽1米的路，路把草坪分成4块，则草坪的实有面积是平方米.7、苹果比桃子多20个，如果每天吃2个苹果、1个桃子，桃子吃完后，苹果还剩5个。
原来有苹果个。
8、韩梅梅从家里去书店，每分钟走525米，预计40分钟到达，但走到一半路程时，遇到了熟人，聊天用了5分钟，如果仍要按预计的时间到达，每分钟应比原来快米。
9、32016表示2016个3连乘，它的结果个位上的数是。
10、有数列如下1，1，2，3，5，8，……问第20个数是。
二、计算题。
（每题6分，共计12分）11、587+589+584+585+588+586+583+590+581+58212、1998×1997-1997×1996-1996×1995+1995×1994省市学校姓名赛场参赛证号∕∕∕∕∕∕〇∕∕∕∕∕∕〇∕∕∕∕∕∕∕〇∕∕∕∕∕∕密〇封〇装〇订〇线∕∕∕∕∕∕〇∕∕∕∕∕∕〇∕∕∕∕∕∕〇∕∕∕∕∕∕〇∕∕∕∕∕∕密封线内不要答题五年级第3页五年级第4页三、解答题。
2016美国国家队选拔考试
对 于一个 接近的算法 ，其思路是选颜 色 ， 而不是球 队．在每一步 ，作为标志性颜色 被球 队选 用 的最 少 的 颜 色 ．
选择颜 色 Ｃ ，选择 其作 为标志 性颜 色 的 球 队的数 目最少．设 球 队 选择 Ｃ。作为 标 志性颜色．然 后删去所有 选 择 的标 志性 颜 色和所有选择 Ｇ 作为标志性颜色 的球 队．则 由条件 ，知最 多删去 ｔ种颜 色 ；任 意剩下 的颜 色 Ｃ仍 然是剩 下 的某支 球 队 的标 志性颜 色． 事实上 ，若 ｃ不 是剩 下 的每 支球 队的标 志性 颜 色 ，由 Ｃ 的最 小性 ，知选择 Ｃ和 Ｃ 作为标 志性颜 色的球 队的集合相 同．因此 ，Ｃ应该被 删去 ，矛盾．
２．已知不 等 边 锐 角 ／ｋ ＡＢＣ的外 接 圆 为 ｏ０，Ｔ为直 线 ＢＣ上 一 点 ，且满 足 ＴＡＯ＝ ９Ｏ。，以 ＡＴ为直径 的圆与△ ＢＯＣ的外 接 圆交 于 。、Ａ２两 点 ，ＯＡ ＜ＯＡ ．类 似 地 ，定 义 点 曰１、 、Ｃ】、Ｃ２．证 明 ：
（１）ＡＡ１、ＢＢ】、ＣＣ１三线共点 ； （２）ＡＡ 、ＢＢ 、ＣＣ：三线 共 点 ，且 该 点 在 △ ＡＢＣ的欧拉线上． ３．已知 非 常 值 实 系 数 多 项 式 Ｐ（ ）、 Ｑ（ ）互 素．证 明 ：最 多存 在 三个 实 数 ，使得 Ｐ＋ Ｑ为一个 多项式 的平方． ４．甲在一次 问答 比赛 中作 弊 ，对 于 每个 问题 ，甲在 写 出 自己 的答 案 前 ，能偷 看 其 他 ｎ（ｎ＞１）位参赛 者的猜测．对 于每个 问题 ，所 有 的猜测均被 提交 后 ，主持人 宣 布 正确 的答 案．一个正确 的猜测得 Ｏ分 ；一个错 误 的猜测 对于其他人 得 一２分 ，只有 甲得 一１分 （因为 甲可 以攻击评 分 系统 ）．宣布 正确 答案 后 ，主 持人继续读下一个 问题．证 明 ：若 甲在某一 时 刻能 领 先 ２ ＋１分 ，则 甲 一 定 能 赢 得 第 一 名 ．
2016江苏专转本英语真题 精校答案解析
江苏省2015年普通高校专转本选拔考试英语试题卷(非英语类专业)Part I Reading Comprehension (共20小题，每小题2分，共40分)Directions:There are 4 passages in this part. Each passage is followed by some questions or unfinished statements. For each of them there are 4 choicesmarked A, B, C and D. You should decide on the best choice and mark thecorresponding letter on the Answer Sheet with a single line through thecenter.Passage OneQuestions 1 to 5 are based on the following passage.This course is for those who want to learn to type, as well as those who want to improve their typing. The course is not common. You are tested in the first class and begin practicing at one of eight different skill levels. This allows you to learn at your own speed. Each program lasts 20 hours. Bring your own paper.Course fee: $125 Materials: $25Two hours each evening for two weeks. New classes begin every two weeks. This course is taught by a number of professional business education teachers who have successfully taught trying courses before.UNDERSTANDING COMPUTERSThis twelve-hour course is for people who do not know very much about computers, but who need to learn about them. You will learn what computers are, what they can and can’t do and how to use them.Course fee: $75 Jan.4,7,11,14,18Wed. & Sat. 9:00-11:30 a.m. Equipment fee: $10David is a professor of Computer Science at Beijing University. He has over twenty years of experience in computer field.STOP SMOKINGDo you want to stop smoking? Have you already tried to stop and failed? Now is the time to stop smoking using the latest methods. You can stop smoking, and this twelve-hour course will help you do it.Course fee: $30 Jan.2.9,16,23 Mon.2:00-5:00 p.m.Dr John is a practicing psychologist who has helped hundreds of people stop smoking successfully.1. If you choose the U course NDERSTANDING COMPUTERS, you will have classes_______.A. from Monday to SundayB. on Wednesday and SaturdayC. on Saturday and SundayD. on weekend evenings2. .How long will the course STOP SMOKING last each time?A. Four weeks.B. Three hours.C. A week.D. Twenty hours3. Mr. Black works every morning and evening, but he wants to take part in one of the three courses. Which one is suitable for him?A.TYPINGB. UNDERSTANDING COMPUTERSC. STOP SMOKINGD. None4. If you want to take UNDERSTANDING COMPUTERS and TYPING, you will pay ______.A. $75.B. $150.C. $235D. $3605. What’s the difference between the course TYPING and the other two?A. People at different skill levels may learn at different speed.B. You will take a test after the course.C. You will pay the same amount.D. You need to be equipped with computer knowledge.Passage TwoQuestions 6 to 10 are based on the following passage.If I had the ability to change one thing about American society, my decision would not be a difficult one. I would ban television.I grew up a couch potato. Looking back, it seems I hardly read anything else at all—I watched TV almost seven hours a day.There are so many good reasons for you to be a couch potato. Television is good before-breakfast entertainment. Television is good after-school entertainment. Television is good before-bed entertainment. Everybody watches it, so you have to watch it too in order to talk about it with friends. Otherwise you cannot say a word, which makes you look like an idiot.But when I stopped watching television completely several months ago, I found that I had become a more reflective person, simply because I had more time to think. Television had stopped stuffing its ideas into my head. I was thinking of my childhood, and to my disappointment, I found that it could be summed up adequately in one sentence: “I watched a lot of TV.” And I wasted too much of my youth that I cannot have back. I will never be more imaginative than I was in my childhood.Now I can totally resist the temptation of TV no matter how marvelous the programs are, and I’m entering into a new stage of life. In the meantime, I’d hope that all couch potatoes would turn off their TV. But I am afraid that with more and more attractive TV programs, I’m not going to be the last person in this country to idle away the best years of life sitting passively in front of a television.6. A couch potato is someone who ______.A. spends much time sitting and watching TVB. plants potatoC. plants potato in the couchD. sits in a couch eating potato7. People watch TV so much because ______.A. television is good before breakfast entertainmentB. television is good after-school entertainmentC. television is good before-bed entertainmentD. All of the above8. According to the passage, people will ______ if they stop watching TV.A. fill themselves with idea on TVB. be more lazy and relaxedC. have more time to thinkD. not look back at their childhood9. Which of the following is NOT true of the author?A. The author had watched television a lot.B. The author had wasted too much of his youth.C. The author will never be more imaginative than he was in his childhood.D. The author is determined to go on watching television.10. The phrase “idle away” (Para.5) probably means “______”.A. spend time in a different wayB. spend time in a relaxed wayC. enter a new stageD. watch televisionPassage ThreeQuestions 11 to 15 are based on the following passage.If we were asked exactly what we were doing a year ago，we should probably have to say that we could not remember. But if we had kept a book and had written in it an account of what we did each day, we should be able to give an answer to the question.It is the same in history. Many things have been forgotten because we do not have any written account of them. Sometimes men did keep a record of the most important happenings in their country，but often it was destroyed by fire or in a war. Sometimes there was never any written record at all because the people of that time and place did not know how to write. For example, we know a good deal about the people who lived in China 4,000 years ago, because they could write and leave written records for those who lived after them. But we know almost nothing about the people who lived even 200 years ago in central Africa because they had not learned to write.Sometimes, of course, even if the people cannot write, they may know something of the past. They have heard about it from older people and often songs and dances and stories have been made about the most important happenings, and these have been sung and acted and told for many generations, for most people are proud to tell what their fathers did in the past. This we may call ‟remembered history”. Some of it has now been written down. It is not so exact or so valuable to us as written history is, because words are much more easily changed when used again and again in speech than when copied in writing. But if there are no written records, such spoken stories are often very helpful.11. Which of the following is NOT suggested in the passage?A. Written history is more reliable.B. Written records play an important role in learning about history.C. A written account of our daily activities helps to answer many questions.. D. Where there are no written records, there is no history.12. Little is known about the central Africa 200 years ago because ______.A. there was nothing worth writing down at that timeB. people there ignored the importance of keeping a recordC. people there did not know how to writeD. the written records were perhaps destroyed by a fire13. “Remembered history” refers to ______.A. history based on a person’s imaginationB. stories of important happenings passed down from mouth to mouthC. songs and dances about the most important events.D. both B and C14. “Remembered history” is regarded as valuable only when ______.A. it is written downB. No written account is availableC. it proves to be timelyD. People are interested in it15. It is suggested that we could have learned more about our past if ancient people had ______.A. kept a written record of every past eventB. burnt their written records in warsC. told exact stories of the most important happeningsD. made more songs and dancesPassage FourQuestions 16 to 20 are based on the following passage.NOT all memories are sweet. Some people spend all their lives trying to forget bad experiences. Violence and traffic accidents can leave people with terrible physical and emotional scars. Often they relive experiences in nightmares.Now American researchers are developing a pill which will help people forget bad memories. The pill is designed to be taken immediately after a frightening experience. They hope it might reduce, or possibly erase the effect of painful memories.In November, experts tested a drug on people in the US and France. The drug stops the body releasing chemicals that fix memories in the brain. So far the research has suggested that only the emotional effects of memories may be reduced, not that the memories are erased.The research has caused a great deal of argument. Some think it is a bad idea, while others support it. Supporters say it could lead to pills that prevent or treat soldiers' troubling memories after war. They say that there are many people who suffer from terrible memories.“Some memories can ruin people's lives. They come back to you when you don't want to have them in a daydream or nightmare. They usually come with very painful emot ions,” said Roger Pitman, a professor of psychiatry at Harvard Medical School.“This could relieve a lot of that suffering.”But those who are against the research say that changing memories is very dangerous because memories give us our identity. They also help us avoid the mistakes of the past.“All of us can think of bad events in our lives that were horrible at the time but they can make us who we are. I'm not sure we want to wipe those memories out,” said Rebecca Dresser ,a medical ethicist.16. The drug tested on people can ______.A. help cure brain damageB. stop people remembering bad experiencesC. stop the body producing certain chemicalsD. wipe out the emotional effects of memories17. According to the supporters of the pills, ______.A. the pills might relieve people of troubling memoriesB. the pills could help people avoid mistakesC. taking the pill will do harm to people’s healthD. the pills should be produced in American soon18. The word “they” (Para.6) refers to ______.A. the researchersB. the people on testC. memoriesD. mistakes19. Which of the following does Rebecca Dresser agree with?A. Some memories can ruin people’s lives.B. People want to get rid of bad memories.C. Experiencing bad events makes us different from others.D. The pill will reduce people’s sufferings from bad memories.20. The passage is mainly about ______.A. an argument about the research on the pillB. a new research on the pillC. a way of deleting painful memoriesD. a new medical inventionPart II Vocabulary and Structure （共40小题，每小题1分，共40分）Directions: There are 40 incomplete sentences in this part. For each sentence there are 4 choices marked A, B, C and D. Choose the ONE that best completesthe sentence. Then mark the corresponding letter on the Answer Sheet witha single line through the center.21. The patient was warned ______ oily food after the operation, but he wouldn’t listen.A. to eat notB. eating notC. not to eatD. not eating22. Feeling something wrong with our car, we pulled over. Not until then ______ ithad been badly damaged.A. did we findB. found weC. we foundD. we did find23. The girl was so ______ at her father’s decision about her marriage that shehad a bitter quarrel with him.A. disappointingB. disappointedC. delightedD. exciting24. I don’t think you can work out the maths problem ____the teacher’s help.A. withoutB. unlessC. becauseD. since25. If you are unable to attend the meeting, for ______ reason, you should inform us in advance.A. whateverB. whereverC. howeverD. whoever26. ______he will enter the speech contest has not been decided yet.A. IfB. ThatC. WhetherD. Which27. --- I must apologize for ______ the meeting ahead of time.--- That’s all right.A. letting you not knowB. not letting you knowC. letting you know notD. letting not you know28. My son seemed not to have understood what I meant, ______really upset me.A. thatB. itC. whatD. which29. We came early and had to wait for one hour before the wedding ceremony began. We ______.A. should not hurryB. need not have hurriedC. must not have hurriedD. need not hurry30. There ______ no money left for our project, we had to change our plan.A. beingB. hadC. wereD. are31. It was not until she had arrived home ______ she remembered her appointment withthe doctor.A. thatB. andC. whichD. then32. He had decided to buy a newly made car, so he sold his old car ______ only 500 dollars.A. withB. onC. byD. for33. The teacher of physical education told us that the football match ______ if itrained.A. will be put offB. would be put offC. would put offD. will put off34. It is generally believed that ______ exercise you do, the healthier you will become.A. much moreB. the muchC. muchD. the more35. Many children think that if there were not so many examinations, they shouldhave ______ at school.A. the most happiest timeB. a more happier timeC. much happy timeD. a much happier time36. While ______ the mountain area, all the men carried guns lest they should beattacked by wild animals.A. crossingB. crossedC. they crossD. to cross37. ______ our great relief, his illness was not so serious as we had thought.A. InB. WithC. AtD. To38. If he were you, he ______ take the task that you are unwilling to do..A. willB. canC. wouldD. must39. The middle aged woman rushed to the bus station only ______ that the last bushad gone.A. findingB. to findC. foundD. finds40. Busy as she was, she made ______ her duty to help her old neighbors.A. thisB. thatC. oneD. it41. It is urgent to find an ______ secretary since the general manager is gettingbusier than before.A. effectiveB. efficientC. affectD. effect42. Experts advise that parents should develop a sense of ______ in their childrenA. intelligenceB. indifferenceC. reactionD. responsibility43. The present policy in China has ______ further co-operation with many other countries.A. electedB. entertainedC. enteredD. enabled44. Fortunately, the new government has made great ______ to fight against theofficial corruption.A. translationB. temperatureC. determinationD. claim45. When businessmen first meet, they often ______ their cards with personalinformation for further contact.A. exchangeB. touchC. changeD. ignore46. The purpose of this article is to draw ______ to the problems faced by single parents.A. satisfactionB. attentionC. competitionD. emotion47. He is late for class with all kinds of excuses, but today he is ______ excuses.A. sorry forB. curious aboutC. short ofD. keen on48. The ______ of private cars in our country has been rising dramatically theseyears.A. amountB. numberC. sameD. score49. ______ pets is an emotional journey which helps people to connect with and reactto the world.A. Putting offB. Carrying outC. Caring forD. Passing away50. Two-thirds of young people go to bed with their phones nearby, for they’re afraidthey’ll ______ something important.A. missB. haveC. cancelD. pass51. This research team was firmly ______ the possibility of life on other planets.A. convinced ofB. decided onC. controlled byD. talked of52. He left Manchester with the ______ of finding a job in London when he was 25.A. cautionB. applicationC. intentionD. function53. It is of great importance for college students to have an ______ character and set a clear goal.A. independentB. ignorantC. indifferentD. impatient54. You had better stay home in bed since you haven’t ______ recovered from t heoperation.A. equallyB. excitedlyC. completelyD. confidently55. ______ the pilots’ strike, all flights have had to be cancelled.A. As a matter ofB. As a ruleC. As thoughD. As a result of56. The flood in 1941 was so severe that many people in these villages were made ______.A. homesickB. homelessC. hopefulD. healthful57. Being a southerner, she has always ______ going to the north to see snow.A. carried onB. called offC. taken offD. dreamed of58. Our education system should offer ______ opportunities for all children.A. calmB. especialC. equalD. careful59. Since he started working at the age of 20, he has not ______ turned to his father for money.A. everB. neverC. badlyD. already60. Small grocery stores are going out of business in the face of fierce ______ fromthe large supermarket chains.A. complaintB. competitionC. productionD. professionPart III Cloze（共20小题，每小题1分，共20分）Directions:There are 20 blanks in the following passage. For each blank there are4 choices marked A, B, C and D. You should choose the ONE that best fitsinto the context. Then mark the corresponding letter on the Answer Sheetwith a single line through the center.When I was younger, I thought that boys and grown men shouldn’t cry. Tears were a sign of being weak, ___61___ a man isn’t supposed to be.However, last June I ___62___ that courage isn’t all about trying to keep all the pain ___63___ and trying to hide the ___64___. My 18-year-old sister had eloped (私奔) and then I saw how ___65___ my father’s heart was. We were used to ___66___ him as a strong-willed father.For three days he wouldn’t ___67___. He would just sit ___68___ outside our house in the dark. ___69___ the fourth night, I sat beside him and ___70___ him to tell me what he felt about everything. __71___ many years I haven’t put my handon my father’s shoulder as we have drifted (疏远) further and further apart while I was growing up. That night we had all cried ___72___ what happened except my father.I sensed my father trying to ___73___ his pain and I wanted him to ___74___ it.I touche d my father and said, “Dad, it’s not your ___75___ .” He began to cry. I ___76___ his shoulders shaking as he whispered. “Where did I go wrong? All I ever wanted was for my children to grow up ___77___. Why shouldn’t your sister wait?”I understood then ___78___ he preferred to be in the dark. His tears, though we hadn’t seen ___79___ before that night, were there all the time. I saw his courage that night ___80___ my father cried with my hand on his shoulder, and understood his pain.61. A. which B. that C. whose D. unless62. A. discovered B. searched C. wandered D. apologized63. A. forward B. outside C. inside D. backward64. A. sounds B. tears C. opinions D. qualities65. A. weak B. poor C. lucky D. honest66. A. looking B. thinking C. seeing D. making67. A. talk B. say C. come D. go68. A. quietly B. politely C. gently D. likely69. A. As B. On C. At D. In70. A. shouted B. asked C. pleased D. demanded71. A. For B. In C. Over D. Of72. A. during B. in C. beyond D. over73. A. controlling B. being controlled C. control D. be controlled74. A. release B. allow C. begin D. create75. A. character B. task C. fault D. duty76. A. touched B. felt C. heard D. imagined77. A. quickly B. kindly C. happily D. eagerly78. A. where B. why C. what D. when79. A. them B. it C. him D. her80. A. when B. where C. what D. whoPart IV Translation(共35分)Section A (共5小题，每小题4分，共20分)Directions:Translate the following sentences into Chinese. You may refer to the corresponding passages in Part I.81. You are tested in the first class and begin practicing at one of eight differentskill levels. This allows you to learn at your own speed. (Passage One)82. Now I can totally resist the temptation of TV no matter how marvelous the programsare, and I’m entering into a new stage of life. (Passage Two)83. But if we had kept a book and had written in it an account of what we did eachday, we should be able to give an answer to the question. (Passage Three)84. Sometimes men did keep a record of the most important happenings in their country，but often it was destroyed by fire or in a war. (Passage Three)85. Violence and traffic accidents can leave people with terrible physical andemotional scars. Often they relive experiences in nightmares. (Passage Four)Section B (共5小题，每小题3分，共15分)Directions: Translate the following sentences into English.86. 她对那本书一无所知，我肯定她没有看过。
2016年首届优才精英赛_5年级数学试卷及答案
五年级（数学试题）
考点___________ 考号____________ 姓名___________ 就读学校___________ 联系电话______________
【学生注意】请把题目的答案写在答题卡内，只填在原题上不得分．
说明：本试卷分 A 卷和 B 卷，其中 A 卷共四大题，25 小题，共 110 分；B 卷共两大题，7 小题， 共 40 分；考试时间 80 分钟
） ） ） ） ） ） ） ） ） ）
2.0160126 用“四舍五入”法保留 4 位小数后结果为 2.0160. 两个因数的末尾共有几个 0，它们乘积的末尾就有几个 0. 两位数乘以两位数的积一定是四位数. 5 名工人 5 小时加工 5 个零件，则 1 名工人 1 小时加工 1 个零件. 形状大小都相同的两个三角形面积一定相等. 循环小数一定是无限小数，无限小数不一定是循环小数. 3、4、5 这三个数字，按任意顺序排列组成的三位数一定是 3 的倍数. 互质的两个数中至少有一个数为质数.
26. A 和 B 是圆直径的两端，甲从 A 点、乙从 B 点同时出发反向沿圆周而 行，在 C 点第一次相遇，在 D 点第二次相遇，已知 C 点离 A 点为 80 米，D 点离 B 点为 55 米，则这个圆的周长是__________米. 【答案】370
A C D B
第 3 页 共 5 页
27. 有 7 名小朋友 A、B、C、D、E、F、G，其中 A、B、C、D 会唱歌，C、D、E 会跳舞，E、F、G 会弹琴，那么选出三人表演节目，其中一人唱歌，一人跳舞，另一人弹琴，共有__________种表 演方式. 【答案】26
4
1
6 4
3 8 1
2016进才自招试题答案
HG F E DO C B A2016年进才中学数学自招题答案31．5次操作回到出发点，则路径构成一个正六边形，所以内角120a =︒，选D 。
32．如图，O 是ABC △的重心，510AE CD ==，，作CH AD ∥且CH AD =，所以有四边形ADCH 为平行四边形。
因为点F 是AC 中点，所以21AG OC AO GH DO OE===，所以OG EH ∥且32EH EA OG OA ==，即32EH OG =，又因为2BO OF OG ==，32BF OG =，所以BF EH =，即三条中线可以构成一个三角形，所以第三条中线满足515CD AE BF CD AE -=<<+=， 整数最大值取14。
选C 。
33．扇形半径是5cm ，即5OA cm =，弧长AB 是6cm π，所以圆锥底面圆形半径32AB AC cm π==，所以4OC cm =。
选B 。
34．易知楼高与楼间距构成的三角形和竹竿及其影子构成的三角形相似。
所以有AB DE BC EF =，即m a BC b =，所以bm BC a=米，选A 。
35．如图，选D 。
36．分别设10元，15元，20元的图书分别买了a 本，b 本，c 本，所以有30a b c ++=，101520500a b c ++=，两式消去a ，有240b c +=，这里a b c ，，均为大于零的整数，所以c最大可以取20（此时0b =10a =，），最小可以取10（此时200b a ==，。
c 取9时22b =，3130b c +=>，）。
所以一共有11种。
选C 。
F 1166155201551011111037．设这个六位数前三位数是a ，后三位数是b ，所以有10003a b ab +=，两边同乘3后因式分解有()()10003131000a b =--，因为a b ，均为大于100的正整数，所以31299a ->，又因为31a -是1000的因数，所以31a -可取500或1000，311000a -=时，a 取不到整数，舍去，31500a -=时，167a =，此时310002b -=，334b =。
2016年全国大学生英语竞赛B类样题参考答案
2016National English Competition forCollege Students(Level B-Sample)参考答案及评分标准Part I.Listening Comprehension（30marks）Section A(5marks)1—5DCBAASection B(10marks)6—10BAABC11—15BABCCSection C(5marks)16—20ABCDASection D(10marks)21.storage of heat;22.cloud cover;23.ocean currents;24.gains;25.length of time;26.great width;27.wind variations;28.initiation;29.multiple ways;30.predictions;Part II Vocabulary,Grammar&Culture(15marks)Section A(10marks)31—35ADBCC36—40DBBDCSection B(5marks)41—45CDBABPart III Cloze(10marks)46.city;47.settlement;48.to/with;49.shock/one;50.great;51.together;52.if/whether;53.dressed;54.Hers;55.like;Part IV Reading Comprehension(35marks)Section A(5marks)56—60FTFTTSection B(10marks)61—65FCAEBSection C(10marks)66.A little thought in advance could help to avoid being trapped in a job rut,such as“Don’t look at the market frantically and step back just long enough to find out about yourself before you step into that first position.”67.It’s created to help college graduates navigate the transition into the working world and get job satisfaction.1--68.Because they feel they don’t have any skills to offer most employers but they are usually highly gifted communicators.69.Doing informational interviews with people in industries you think you might be interested in and thinking about how you would feel about the job in the future.70.Getting more than a good job.Section D(10marks)71.psychological explanations;72.a minor factor;73.improved efficiency;74.simplicity;75.excitement;Part V Translation(15marks)Section A(5marks)76.中国首都北京的专家们已经发布了今年迄今为止最高的雾霾警报。
河南省三门峡市陕州中学2015-2016学年高二下学期第一次精英对抗赛英语试题
2015-2016学年下期高二第一次精英对抗赛英语试卷时间：110分钟分值：150分第Ⅰ卷（70分）第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
A2016 International Summer SchoolThe 2016 University of Cambridge International Summer Schools will run in Cambridge from 6 July to 22 August 2016. Our programs give you the opportunity to meet award-winning lecturers, stay and dine in one of the historic Cambridge Colleges and enjoy a range of weekend excursions（游览）and social activities. To sign up for a program simply apply online, or download an application form from our website. Places on courses and in-college accommodation are limited, so we encourage applicants to apply early to avoid disappointment.This year we will be offering specialist programs in: Ancient Empires, Literature, History, Medieval Studies and new for 2016, Creative Writing and Hanseatic League. If you are looking to study a number of different subject areas, the Interdisciplinary Summer School is ideal. It is divided into three terms, Interdisciplinary Summer School Term I, Interdisciplinary Summer School Term II and Interdisciplinary Summer School Term III, covering a wide range of subjects including politics, philosophy, economics, literature, history and international relations. You can opt to do one or two terms. But most students choose all the three terms.The Cambridge English for Academic Purposes program combines a two-week intensive（强化）language course with a two-week academic program. This allows students to put into practice the language skills they have learned during the first two weeks of the program. Applicants will also have the opportunity to sign up for weekend excursions and take part in various events.If you want to join us in 2016, please click here to download a copy of brochure（手册）. Ifyou want to find out more information about 2016 International Summer School, you can visit /intsummer. (CLICK HERE)What our students say“The entire experience was even better than I expected. I absolutely loved it.” Sally, USA “I believe that the Science International Summer School was a fulfilling experience. I think that everyone should attend this Summer School at least once in a lifetime.” Dominika, Poland21. What should people do if they want to sign up for a program in this ad?A. They should go to Cambridge by plane.B. They should phone Cambridge.C. They should call for an application form.D. They should apply for the program online.22. Why are the applicants encouraged to apply early?A. The earlier they apply, the less they will pay.B. If they apply late, they have to live out of Cambridge College.C. There are not enough places for the courses or in-college accommodation.D. The reason is not mentioned in the passage.23. What’s the meaning of the underlined word in Paragraph 3?A. To avoid doing a dutyB. To choose to doC. To decide not to be part of a groupD. To decide onBOne day I was driving home with a woman. She rolled down the window, fifty feet away from the driveway and spit her gum （口香糖）out of the window. “Couldn’t you just wait five seconds and put your gum where it belongs?” I asked, annoyed.She was not the only one who was gum-lazy. Consider the following. Every time I brush chewed gum under my desk, I shake with fright. At Folsom Middle School, whenever I had to walk by the gum wall next to the girls’ locker room, I felt totally disgusted. When I was young, I walked outside during my dance show in my ballet shoes, always stepping right on a big and juicy piece of bubble gum. I was extremely upset.The worst part of all these incidents is that a trash can is located near. But some people are too lazy to walk towards it.If you can’t be a responsible gum chewer, don’t chew at all. That’s all I’m going to say.Take Singapore as a good example. The chewing gum ban in Singapore was placed. It bans the import and sale of chewing gum in Singapore, whether for the purpose of trade or personal chewing. However, the ban has been partly lifted with some types of gum, such as medical gum, allowable. This comes with the warning that it is sold only by a druggist, who has to take down the names of buyers. Obviously, the Singapore government gets angry at gum stuck in keyholes of mailboxes and on elevator buttons.Not only is it annoying, but chewing gum can actually do harm to the health. Most gum contains aspartame （阿斯巴甜）, a chemical sweetener（增甜剂）that the US government is now deciding whether or not it is a deadly chemical. If it is, it may cause cancer. Other studies suggest that aspartame may cause neurological（神经系统的）disorders. Therefore, aspartame is not allowed to use in the US.So just say no to chewing gum.24. What did the author think of the woman’s behavior?A. It was strange.B. It was unacceptable.C. It was dangerous.D. It was violent.25 According to Paragraph 2, the author _________.A. stepped on a piece of gum while dancingB. cleaned gum under her desk sometimesC. was troubled by chewed gumD. often found chewed gum in her locker26. What do we know about aspartame?A. It is proved to be a harmless chemical.B. It is the cause of many kinds of cancer..C. It is being refused by the US government.D. It is the main ingredient of chewing gum.27. What is the main purpose of the text?A. To advise people against chewing gum.B. To criticize people who are lazy.C. To persuade people to buy medical gum.D. To make comments on the ban in Singapore.CMarch 21 has been declared World Sleep Day, a time to recognize and celebrate the value of sleep. Many sleep experts hope it will be a wake-up call.According to a poll (民意调查）by the National Sleep Foundation, nearly 4 in 5 Americans don’t get as much sleep as they should during the workweek. On average, adults are thought toneed at least eight hours of sleep a night, although some can manage with less and some won’t do well without more. But the survey found that, on workdays, only 21% of Americans actually get a full eight hours of sleep, and another 21% get less than six.To many of us, the thought of spending more time sleeping is, well, a big yawn. On the other hand, the thought of being smarter, thinner, healthier and more cheerful has a certain appeal. And those are just a few of the advantages that can be ours if we consistently get enough sleep, researchers say. Also on the plus side: We’re likely to have better skin, better memories, better judgment, and, oh, yes, longer lives.“When you lose even one hour of sleep for any reason, it influences your performance the next day,” says Dr. Alon Avidan, director of the UCLA Sleep Disorders Center.A study published last year found the same to be true even of children. When kids aged 8 to12 slept for just one hour less for four nights, they didn’t function as well during the day.But sleeping has an image problem. “We see napping or sleeping as lazy,” says Jennifer Vriend, a clinical psychologist in Ottawa, Canada, and the leading author of the study with children. “We put so much emphasis on diet, nutrition and exercise. Sleep is in the back seat.” In fact, she adds, no matter how much we work out, no matter how well we eat, we can’t be in top physical shape unless we also get plenty of sleep.28. The underlined part in Paragraph 1 means _____.A. To wake up the sleepersB. To draw people’s attentionC. To serve as a morning callD. To declare the special day29.From Paragraph 3 we can infer that _______A. Being healthier is one of the advantages for usB. Sleeping has nothing to do with one’s expectationsC. Spending more time on sleeping is a waste of timeD. Enough sleep is the guarantee of the appealing things30.What Jennifer Vriend said in the last paragraph implies that _______.A. Sleeping is an image problemB. People care little about sleepingC. Lazy people tend to sleep longD. Sleeping is only part of our life31.What is the purpose of the passage?A. To talk about people’s sleeping problems.B. To provide an investigation result of sleeping.C. To arouse the awareness of enough sleeping.D. To stress the function of sleeping at night.DThe chimp didn’t feel well. She fell over, ignoring the other wild chimps.Finally, the sick chimp crawled over to a bush, picked some leaves and swallowed them. By the next afternoon, the chimp was as good as new!Biologists watching the chimp were surprised. Somehow, the plant had cured the chimp! Did the chimp know the plant would make her feel better? Or was it just a lucky accident?Many scientists don’t think it has anything to do with luck. They’re discovering that some animals seem to use plants to cure themselves. And these animals are leading scientists to new plants that could cure humans!Dr. Richard Wrangham, an anthropologist at Harvard University, agrees that animals may know something we don’t know about forest plants.Wrangham got to know chimps and their diets while studying them for three years in Tanzania. “You must know a lot about an animal’s feeding habits to know what it doesn’t consider food,” Wrangham explains. Every morning, he saw that most chimps ate fruit near their nests. Later on, they ate on leaves.When he noticed chimps eating the leaves of a plant they usually ignored, Wrangham thought something interesting was going on---especially when he saw that they’d sometimes walk for 20 minutes to find the plant. Another strange thing that caught his eye was how they ate the bitter leaves.“They swallowed the leaves whole,” explains Wrangham, noting that chimps usually chew their food well. “They seemed to rub（摩擦）the leaves around the roofs of their mouths. They closed their eyes, wrinkled their noses and swallowed slowly. ”Wrangham wondered what could be so good about something tasting so bad. He had a chemist analyze the leaves. He discovered that the leaves contain a red oil that kills different viruses（病毒）. Later tests showed that the oil might even fight cancer and the AIDS virus!Why don’t the chimps chew the leaves? “Rubbing t he leaves between the tongue and the inside of the mouth might allow the chemicals to enter the bloodstream directly,” he suggests,“instead of going to the stomach, where they might get destroyed by acids. The chimps seem to know what they’re doing.”32. We can learn from the passage that _________.A. chimps cure themselves by chewing plantsB. chemicals in plants help cure animalsC. scientists live with chimps to study their dietsD. Dr. Wrangham knows a lot about forest plants33. How can Dr. Wrangham tell which plants are medicine for chimps?A. By talking with the biologists.B. By studying the chimps’ feeding habits.C. By analyzing the chimps’ favorite food.D. By comparing other scientists’ discoveries.34. The author wrote the passage to ___________.A. provide a solutionB. test a theoryC. present a findingD. describe an experiment35. What does the passage mainly talk about?A. Animal doctors.B. Forest plants.C. Chimp’s diets.D. A cure for cancer.第二节（共5 小题，每小题 2 分，满分10 分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项，选项中有两项为多余选项。
2016年全国大学生英语竞赛初赛C类试题及答案
2016年全国大学生英语竞赛初赛(C级) 2016 National English Competition for College Students(Level C - Preliminary)(Total： 150 marks Time： 120 minutes)Part I Listening Comprehension (30 marks)Section A (5 marks)In this section, you will hear five short conversations. Each conversation will be read only once. At the end of each conversation, there will be a twenty —second pause. During the pause, read the question and the four choices marked A, B, C and D, and decide which is the best answer. Then mark the corresponding letter on the answer sheet with a single line through the centre.1.Who spent a lot for the wedding according to the conversation? -A.The young couple.B.The bridegroom’s family.C.The bridegroom’s relatives.D.The bride’s family.2.Why does the man want to visit the Statue of Liberty first?A.They have made it the top priority on their agenda.B.He thinks it is a symbol of the United States.C.There are some fancy stores near the statue.D.It is the best place to have a good view of New York city.3.Where did the woman get the coupons?A.From salespersons.B.From grocery stores.C.From her neighbours.D.From newspapers and magazines.4.What is the man going to do?A.Attend a wedding.B.Visit a country fair.C.Visit an art exhibition.D.Attend a fashion show.5.What can we infer about the speakers from the conversation?A.They are discussing the local weather.B.They are going to help each other in their study.C.Neither of them is going to cheat in exams.D.Neither of them is a top student in their class.Section B (10 marks)In this section, you will hear two long conversations. Each conversation will be read only once. At the end of each conversation, there will be a one—minute pause. During the pause, read the questions and the four choices marked A, B, C and D, and decide which is the best answer. Then mark the corresponding letter on the answer sheet with a single line through the centre.Conversation One6.What is the accident happening in Regent Street?A.Two cars ran into each other.B. A double-decker bus is on fire.C. A roadside building is burning.D. A man was run over by a double-decker bus.7.Where is the crowd standing and singing?A.In Regent Street.B.In Oxford Street.C.In Euston Road.D.In London Road.8.What is the lion doing on the road?A.Looking at the camera.B.Walking around the cars.C.Sitting and looking around.D.Running and roaring.9.What is the traffic problem in East London?A.Somebody is driving on the wrong side of a road there.B.Drivers stop to watch an escaped lion running on a road.C.Too many cars get stuck because of a big parade going on.D. A huge lorry is overturned right in the middle of a road.10.When will the traffic news be updated?A.In half an hour.B.At noon.C.In two hours.D.At half past ten.Conversation Two11.What does Liz McCartney think of her winning the prize?A.All her hardworking efforts are paid back.B.Other hero nominees are better than her.C.She is only a representative of the heroes.D.People in St. Bernard Parish will love her more.12.What happened to people in St. Bernard Parish according to Liz?A.Many of them lost their homes in a fierce storm.B. A fire broke out and burnt many of their houses.C. A serious earthquake occurred to them suddenly.D.They couldn’t go out because of a huge flood.13.What does Liz McCartney say about the prize?A.It is an honor the people of St. Bernard Parish deserve.B.It shows the courage of the people of St. Bernard Parish.C.It makes people realize the importance of guarding against disasters.D.It is a reminder there is still much to be done after the disaster.14.How much did Liz get as this year’s CNN Hero of the Year prize?A.25,000 dollars.B.50,000 dollars.C.100,000 dollars.D.125,000 dollars.15.How will Liz spend the prize money?A.Setting up a fund for the local community.B.Building houses for more suffering families.C.Buying clothes for victims of the accident.D.Donating it to a charity organisation.Section C (5 marks)In this section, you will hear five short news items. After each item，which will be read only once, there will be a twenty -second pause. During the pause, read the question and the four choices marked A, B, C and D, and decide which is the best answer. Then mark the corresponding letter on the answer sheet with a single line through the centre.16.Why did NASA send New Horizons spacecraft to Pluto?A.To find out its relations with other planets.B.To test its new per-second speed in space.C.To collect more detailed data about the planet.D.To see whether there are any life forms on it.write the answers on tne answer sheet.17.What is the title Geneva plans to regain? A. City of Negotiation. B. Peace Capital of the World. C.UN European Headquarters.D. Centre of Controlling Nuclear Weapons. 18.What was Merriam-Webster’s criterion for choosing the 2015 Word of the Year? A. Whether it is related to politics, beliefs or discrimination. B. How often it is looked up in its online dictionary. C.Whether it ends in the suffix -ism.D. How often it is used in people’s life . 19.What measures did the nations agree to take to fight climate change? A. Reducing their greenhouse gas emissions. B. Burning no fossil fuels from now on. C.Planting more trees.D. Using more solar power. 20.Where did many of the richest in Britain get their increased wealth? A. From their investments in the stock market. B. From their accumulated bank savings. C.From their business earnings overseas.D. From their rising private retirement payments.Section D (10 marks)In this section, you will hear a short passage. There are 10 missing words or phrases. Fill in the blanks with the exactwords or phrases you hear. The passage will be read twice.Remember toThe most common legend about the discovery of coffee is that it happened in the ninth century A.D. A goat herder in Ethiopia named Kalil noticed that his goats became very active after they ate redberries from a leafy 21. ______________ . He tried a few berries himself, and he was soon as 22. ________________ ashis herd. Kalil told other people in his tribe about his experience, and for the next four hundred years, people chewed the berriesbecause they 23.•Recent botanical evidence indicates that Coffea arabica was first grown on the plateaus ofcentral Ethiopia. There, the Galla tribe used to mix the beans with animal fat and eat thismixture as a source of 24. ________________ . In 1000 A.D., the Arabs began to boil the beans and25. ________ a drink they called “qahwa,” which means wine, coffee, or any drink made fromplants. Coffee was also used by the people of that region to get more energy. However, the Turkswere the first to adopt coffee as an everyday drink, often adding 26. _________________________ to the brew. The world’s first coffeehouse was opened in Constantinople in 1475.The introduction of coffee in Europe 27. ________________ . The delicacy was guarded like a militarysecret, and transportation of the plant out of the Muslim regions 28. __________________________ .In the 1600s,coffee was introduced in Europe by Italian traders through the port of Venice. Soon coffeebecame a popular European beverage, too. Coffeehouses 29. ________________________ in one country after another, and became popular meeting places. The first coffeehouses were opened in Englandaround 1650, and almost twenty years later coffee 30. _________________ beer as New York City’s breakfastdrink.Today coffee is drunk in millions of homes and workplaces all over the world, and coffee shops are found at almost every intersection in major cities.Part II Vocabulary, Grammar and Culture (15 marks)There are 15 incomplete sentences in this section. For each blank there are four choices marked A, B, C and D. Choose the one that best completes the sentence. Then mark the corresponding letter on the answer sheet with a single line through the centre.Section A Vocabulary and Grammar (10 marks)31.Jessica told me that she had absolutely no ______________ of ever meeting them before.A.reviewB. recollectionC. memorizationD. mind32.I cannot bea r the noise of my brother’s radio; it_________________ me from my work.A.distractsB. interferesC. dismissesD. interrupts33.You don’t object ______ you by your first name, don’t you?A. my callingB. to my callingC. for me to callD. me calling34.After careful deliberation the shareholders voted to _______________ the offer of a merger. .A. refuteB. refrainC. retreatD. reject35.To rid the world ___________ m any people believe that we must some fundamentalchanges in the way many of us live.A. to pollution; haveB. with pollution; takeC. of pollution; makeD. in pollution; bring36.The wife of Steve Carvey, the baseball star, _____________ about being left alone too often.A. bitterly has complainedB. has bitterly complainingC. has been complained bitterlyD. has been complaining bitterly一 8 -THE OLD MANANDTHE SEAT O K I L L Al\/\ocki}u^biiiiA.C.D.T H E O D O R E D R E I S E R wtih*n«w»y UnfltmwB.H A /i n t i L t fAN AMERICAN TRAGEDYGONE WITH UNW IND37. The doctor ’s efforts were _________ . The patient refused to accept the treatment. A. of no availB. in no availC. by. no availD. on no avail38. It is thought that modem corn may be a _______________ of teosint and other wild species that no longer exist. A. hybridB. combinationC. compoundD. mixture39. —Didn’t you think that joke was funny? —No, I didn’t really get it.—You are like my grandmother. She can’t understand jokes.一_______ I’m not that old yet.A. You should teach her a lesson!B. I think it takes time to do that.C.Well, it’s not her fault.D. Come on, you are so mean! 40.—My doctor has suggested that I try music therapy to reduce my pain. —Really? __________—At the hospital or at a private office. A. Do you think it will work? B. Where can you get music threapy? «C.How come you would believe in it?D. Who does music threapy for you?Section B Culture (5 marks)41.Renaissance was the revival of classical _______________ in European history. A. education and religion B. science and technology C. music and sport D. literature and artistic styles42.Written by Margaret Mitchell, _____________ was popular with American readers. As of 2014, a Harris poll found it to be the second favourite book of American readers, just behind theBible.43.Queen Mary was known as the ____________ ” and also remembered as the monarch who lost thelast British possessionon the continent——French port of Calais.A. Butcher MaryB. Bloody MaryC. Lion HeartD. Great Conqueror44.People often say that the history of Canada is a history of __________________ .A. European colonisationB. foreign interventionC. immigrationD. internationalisation45.The largest state of the United States is _____________ . It is also known as “the great land”.A. AlaskaB. CaliforniaC. MontanaD. TexasPart III Cloze (10 marks)Read, the following passage and fill in each blank with one word. Choose the correct word in one of the following three ways: according to the context, by using the correct form of the givenword, or by using the given letter(s) of the word. Remember towrite the answers on the answer sheet.What’s the weather like where you are? Chances are there’s acloud somewhere on your horizon——a collection of millions ofmicroscopic water droplets formed as moist air rises, cools andexpands. If the cloud is dense enough, it46._____ . If it’s cold enough, it snows. And ifit’s low enough, we call it fog.But until 230 years ago, peop le didn’t know what to callthem and the fluffy things that passed overhead were known by their47.resem ______ to things such as mare’s tails or mackerel’s scales.In 1783, huge volcanic eruptions in Iceland and Japan produced spectacular sunsets acrossthe northern 48. hemi ____________ . Eleven -year-old Luck Howard was entranced by these displaysand became a keen student of the young science of meteorology. Twenty years later, he madethe first internationally recognised 49. _______________ (classify) of clouds.One day, the sky was full of cirrus (high, threadlike cloud) and stratus (low, layered cloud), nimbus (rainclouds) andcumulus (low, puffy cloud). By combining these Latin names and grouping them by the 50. _________________ (high) at which they occurred, Howard came up with a 10-point system for identifying clouds.Some countries may be sick of the sight of them, but drought-stricken areas are crying out for a bit of cloud cover. Scientists in the US and Russia have attempted to create clouds bycloud seeding—dropping condensation agents such as dry ice from aeroplanes to 51. _____________________________ (courage) nascent clouds to form.Poets and artists, too, have found 52. insp ___________________ in the clouds——Wordsworth wanderedlonely as one, Shelly named a poem 53. ___________________ “the daughter of earth and water and thenursling of the sky”，while Turner and Constable captured their fleeting likenesses on canvas.54. Whe _________ you are under one, on top of one or have your head in one, clouds, likeour moods, are ever changing. And perhaps that is the 55. ____________________ (beautiful) of them.Part IV Reading Comprehension (35 marks)Read the following passages. Each passage is followed by several questions. Respond to the questions using information from the passage. Remember to write the answers on the answer sheet.Section A (5 marks)Questions 56—60 are based on the following passage.In order to get information about distant planets, scientistsinvented spacecraft to travel into the solar system to see theplanets up close. These spacecraft do not carry people, and theynever return to Earth. However, while they are in space, theycan take photographs of planets that are too far away for us tostudy from Earth. One famous spacecraft that has done this ispart of the Voyager Project. This spacecraft is called Voyager I.NASA started the Voyager Project in the 1970s. During the 1960s and the 1970s, NASA sent many spacecraft into space to collect scientific information about the solar system, but none of those spacecraft carried astronauts. Two of the spacecraft that NASA built in the 1970s were called Voyager I and Voyager II. The original jobs of Voyager I and II were to get information about Jupiter and Saturn. The two spacecraft both left the Earth in 1977.Voyager I reached Jupiter in 1979 and began to take photographs. The spacecraft was able to get very close to Jupiter. By getting close to Jupiter, it could take very clear photographs of Jupiter’s rings and planets. Voyager I also took good photo graphs of Jupiter’s “Great Red Spot.” This spot is a large place on Jupiter where there is a strong storm. The Great Red Spot is so large that it could hold three planets the size of Earth inside of it! After taking pictures of Jupiter, Voyager I went to Saturn. It reached Saturn in 1980 and collected important information about Saturn’s rings.- 10 —After Voyager I finished its work on Saturn, the spacecraft still worked well. So, NASA sent Voyager I on a new job. This time it was sent out of the solar system. NASA wanted to see how far it could go.Voyager I is still working today. It is now NASA’s oldest working spacecraft. It has tr avelled more than 9.3 billion miles, making it the spacecraft that has travelled furthest from Earth. Actually, the spacecraft has now travelled much further than expected. As it travels, it continues to send new information back to Earth. It is expected that Voyager I will no longer work by the year 2020. At that time it will not have enough power to keep working. Still, we can certainly say that this spacecraft has done a great service in helping us to learn more about space.Questions 56一60Decide whether the following statements are true (T) or false (F) according to the passage.56.Voyager I and Voyager II are only a part of NASA’s Voyager Project started in the 1970s.57.Voyager I and Voyager II were specifically designed to carry astronauts to outer space.58.Voyager I has successfully fulfilled its mission of collecting information about Jupiter and Saturn.59.Voyager I is still in normal working condition inside the solar system.60.As expected, Voyager I will return to the Earth by the year of 2020 with morevaluable information.Section B (10 marks)Questions 61—65 are based on the following passage.Can we trust our memories? Psychologist Elizabeth Loftus doesn’t think so. Loftus is anexpert on false memories. A false memory is a memory of something that never happened.Are people with false memories lying? Not at all, says Loftus. They really believe theirmemories. And that is why it can be difficult to know if a memory is real.61. _________________________ These people didn’t know eachother, but 36 percent of them had the same memory. What was it?They remembered hugging Bugs Bunny at Disneyland. But wait a minute. Bugs Bunny isnot a Disney character, and he was never at Disneyland. These people’s memories werefalse.62. ___________________ Loftus says it is easy to put a false memoryinto someone’s mind. How? You just talk to the person. In the Bugs Bunny experiment, Loftus talked to peoplewho had visited Disneyland as children. Then she asked them about Bugs Bunny. She asked if he had soft ears. She asked if his body was furry. Later, more than one-third falsely remembered hugging Bugs Bunny.63. ________________________ That is why Loftus used the words “furry” and “soft” in theexperiment. Those words helped people imagine the experience. They saw Bugs Bunny in their imagination. They felt his soft fur. It seemed so real. They were sure it really happened.64. ________________________ Loftus says it shows the dangers of false memory. Of course, afalse memory of Bugs Bunny is not dangerous, but imagine this situation. A man hits a woman on the head. Then he steals her car. The police ask the victim if the thief smelled of cigarettes.In fact, he did not, but after the woman hears the question, she becomes 100 percent sure that he did. She adds the smell ofcigarettes to her real memory and creates a false memory. The police thenaccuse the wrong person, a smoker. As a result, they never find the guiltyman. He’s a nonsmoker, so the police don’t even look for him.65.__ ____________________________ If they aren’tcareful, they won’t find the truth. Instead, they will find only falsememories, and the real criminals will go free.Questions 61—65Complete the article with the following sentences. There are two extrasentences that you do not need to use.A.When we remember something, we use all of our senses: sight, touch, taste, smell, and hearing.B.The police often create false memories when they ask crime victims questions.C.In one experiment on false memories, Loftus talked to people about their childhoods.D.Why are many of our childhood memories probably false ones?E.But what is the purpose of the Bugs Bunny experiment?F.How could a group of strangers all have the same false memory?G.That is why the police need to be very careful about how they ask questions, says Loftus.Section C (10 marks)Questions 66—70 are based on the following passage.One of the interesting things about languages is the way they change overtime. In English, everything from spelling to vocabulary has gone throughmajor changes over the years. In fact, to a modern speaker, the English of1,000 years ago looks like a foreign language!The history of English dates back around 1,500 years. At that time,groups of Europeans invaded England, bringing their language with them. Itdeveloped into Old English. Later, in 1066, England was invaded by theNormans from France. The language went through an important shift,leading to what we now call Middle English. Over the next 500 years, the language underwent further shifts, leading to Modern English. As the language has developed over time，many things about it have changed.Pronunciation is one of the most obvious areas. For example, in Old English, people said “hus” and “mus”. Now, we say “house” and “mouse”. These days, there are many differences in the way English is pronounced in the U.S., India, and elsewhere. When people live in groups separated by great distances, the pace of change can be fast.Spelling has also gone through interesting changes. For example, in Old English, one wrote “riht”. A “g” was added in Middle English, making the spelling “right”. Also, in the distant past, people did not always follow standards of spell ing. In the eighteenth and nineteenth centuries, scholars like Noah Webster wrote dictio varies which made the spelling more consistent. However, different standards were decided on in England and the U.S. So, some differences remain—for example, “color” v s. “colour”.Vocabulary changes happen even more quickly. English has grown by borrowing words from languages such as French, Spanish, and Arabic, to name a few. This often happens with types of food—for example, “tofu”. Then there is slang which enters an d leaves the language every year! Thirty years ago, one often heard people saying “groovy”，meaning “great”. These days, you’ll rarely hear the word except on old TV shows and movies.Because English is spoken by so many people worldwide, it really is an exciting time for the language. Just as American and British versions are always changing, so are versions spoken in Canada, Singapore, and elsewhere. At the same time, an entirely new version of English is appearing on the Internet with whole new slang and writing styles. In a way, learning English is a never-ending process, even for native speakers!13Questions 66—70Answer the following questions according to the passage.66.Why does the English of 1,000 years ago seem a foreign language to modern speakers?67.What aspects are discussed to show the changes of English in history?68.When did scholars try to make English spelling more consistent?69.What are some languages that English has borrowed words from?70.Where can we see an entirely new version of English?Section D (10 marks)Questions 71——75 are based on the following passage.Wine can be made with red grapes or whitegrapes, and, especially in the case of red wines, a number ofdoctors have reported that a moderate amount of wine hascertain health benefits. This may be one of the reasons why thenumber of people drinking wine has risen over the past years.As new wine -shoppers browse the shelves of their localmarkets, they face a tough decision. Should they buy a winewith a cork or a screw top? And shoppers are not alone in theirdilemma. Wineries are also facing tough choices in the bestway to seal their products.The root of the problem lies in “cork taint”. Corktaint refers to a problem with wine that has been sealed with abad cork. Traditionally, all corks are made from a special oak tree that grows around the Mediterranean. In the process of making the corks and sealing wine bottles, a certain type of mold may start to grow on some corks. Over time, this mold can produce a chemical that makes the wine inside the bottle taste musty. In fact, the human tongue is so sensitive to this particular compound that people can taste it even diluted up to six parts per trillion!How big is the problem of cork taint? Some experts from the wine industry claim cork taint affects one out of every ten bottles of wine. And as one spokesperson for an American winery says, “No other packaging industry in the world would put up with that kind of failure rate.”Some wine makers see a possible solution to the problem of cork taint through adopting the tried and true method of sealing bottles with screw tops. However, many wineries are still playing it safe and sticking to corks for two reasons. First, there is the old belief among cork users that small amounts of oxygen are able to penetrate corks. This oxygen, they say, is necessary for the proper aging of fine wines, especially those aged 10 years or more. Screw tops14 -do not allow for any oxygen to get into the bottles after they are sealed.Another problem arises from the image screw tops have with the public. In most people’s minds, screw tops are only found on cheap, low-quality wines. It will take a lot of efforts from wineries to re-educate the public if they want to change the image of screw tops. In addition, there is the problem of losing the romantic, elegant mood produced by the ceremonial popping of the cork. Consumers don’t seem to feel the same thrill when unscrewing a top.Questions 71—75 Complete the summary with words from the passage, changing the form wherenecessary, with only one word for each blank.The wine industry is facing a 71. _______________ . What is the bestway to seal wine bottles? Many people think that it is onlyproper for wine 72. ____________ to be sealed with corks. Theybelieve that oxygen needs to be able to 73. _____________________ thecork. Other experts, however, suggest that wineries change to screw tops. Usingcorks can lead to cork taint, a badtaste in the wine caused by 74. _________________ . However, it isunlikely that the public will accept this solution. They willmost likely 75. ___________ to buying wine with corks for theromantic and elegant mood it brings.Part V Translation (15 marks)Section A (5 marks) Translate the following paragraph into Chinese. Remember to write the answers on the answer sheet.76. Kite flying is one of the most popular traditional sports in China. Kite, called Feng Zheng in Chinese, originated in China and ithas been praised as the forerunner of modern aircrafts. Its history can be traced back to more than 2,000 years ago. Legend has it that, the first Chinese kites were made of wood by the famous architect and carpenter Lu Ban during the Spring and Autumn Period (770-476BC); after the invention of paper, kites began to be made of this new material. People nowadays make colourful kites in the shapes of animals, birds, butterflies, fishes, etc.15 -Section B (10 marks)Translate the following sentences into English by using the hints given in brackets. Remember to write the answers on the answer sheet.77.你走后如果有你的信件9我会转寄给你。
清华大学2016年自主招生与领军计划数学试题
清华大学2016年自招、领军试题选择题：本卷共40小题，共100分。
在每小题给出的四个选项中，有一个或多个选项是正确的。
（1）若函数()y f x =具有下列两个性质：①在区间,63ππ⎡⎤-⎢⎥⎣⎦上单调递增；②其图像关于3x π=对称.则()f x =（ ）（A ）5sin 26x π⎛⎫-⎪⎝⎭ （B ）cos 23x π⎛⎫+ ⎪⎝⎭ （C ）sin 26x π⎛⎫- ⎪⎝⎭ （D ）2cos 23x π⎛⎫-⎪⎝⎭ 【答案】CD解析：由②可知13f π⎛⎫=± ⎪⎝⎭，再结合①可知13f π⎛⎫= ⎪⎝⎭，由①还可知22T π≥，即T π≥，而选项中所有函数的周期都是π，可知此题最好的方法是代入法. 因此只需要检验四个选项中哪个符合这个条件即可. （A ）132f π⎛⎫= ⎪⎝⎭；（B ）13f π⎛⎫=- ⎪⎝⎭；（C ）13f π⎛⎫= ⎪⎝⎭；（D ）13f π⎛⎫= ⎪⎝⎭. 因此答案为CD.（2）曲线21y x =-与ln y x =（ ）ACD（A ）在点(1,0)处相交 （B ）在点(1,0)处相切 （C ）存在相互平行的切线 （D ）有两个交点 【答案】ACD解析：令2()1f x x =-，()ln g x x =，2()ln 1h x x x =--，()2f x x '=，1()g x x '=，1()2h x x x'=-. 其中()g x 和()h x 的定义域都是(0,)+∞.对于（A ）（B ），(1)(1)0f g ==，(1)2f '=，(1)1g '=，可知两条曲线在点(1,0)处相交. （A ）正确.令()()f x g x ''=，可得2x =；122f ⎛=- ⎝⎭，1ln ln 2g ==->-=-⎝⎭，所以f g ≠⎝⎭⎝⎭，因此两条曲线在2x =处存在相互平行的切线.令()0h x '=，可得x =()h x '和()h x 的变化如下表：由上述分析可知()h x 在0,2⎛ ⎝⎭上单调递减，且02h ⎛< ⎝⎭，2110h e e ⎛⎫=> ⎪⎝⎭，并且12e <，可知()h x 在⎛ ⎝⎭上只有有一个零点，因此两条曲线在⎛ ⎝⎭上只有一个交点.而()h x 在2⎛⎫+∞ ⎪ ⎪⎝⎭上单调递增，并且(1)0h =，()h x 在2⎛⎫+∞ ⎪ ⎪⎝⎭上只有一个零点1，可知两条曲线在2⎛⎫+∞ ⎪ ⎪⎝⎭上只有一个交点.因此答案为ACD.（3）“ABC 为锐角三角形”是“sin sin sin cos cos cos A B C A B C ++>++”的（ ）（A ）充分不要条件 （B ）必要不充分条件 （C ）充要条件 （D ）既不充分也不必要条件 【答案】A解析：若ABC ∆为锐角三角形，则222A B A C B C πππ⎧+>⎪⎪⎪+>⎨⎪⎪+>⎪⎩， 且0,,2A B C π<<，可得022022022A B C A B C ππππππ⎧>>->⎪⎪⎪>>->⎨⎪⎪>>->⎪⎩，又()sin f x x =在0,2π⎛⎫ ⎪⎝⎭上单调递增，所以sin cos sin cos sin cos A B C A B C >⎧⎪>⎨⎪>⎩， 因此可得sin sin sin cos cos cos A B C A B C ++>++，所以“ABC 为锐角三角形”是“sin sin sin cos cos cos A B C A B C ++>++”的充分条件.考虑直角ABC ∆，其中,,236A B C πππ===，则1sin sin sin 122A B C ++=++，1cos cos cos 2A B C ++=+，则sin sin sin cos cos cos A B C A B C ++>++，而显然ABC ∆是不是锐角三角形，因此“ABC ∆为锐角三角形”不是“sin sin sin cos cos cos A B C A B C ++>++”的必要条件.（4）设函数()f x 在区间(1,1)-内有定义，则（ ）（A ）当导数(0)f '存在时，曲线()y f x =在点(0,(0))f 处存在切线 （B ）当曲线()y f x =在点(0,(0))f 处存在切线时，导数(0)f '存在 （C ）当导数(0)f '存在时，函数2()f x 在0x =时的导数等于零 （D ）当函数2()f x 在0x =时的导数等于零时，导数(0)f '存在 【答案】ABC解析：（A ）显然正确；（B ）函数13()f x x =，在在点(0,(0))f 处的切线为y 轴，但是231()3f x x -'=-， (0)f '不存在；（C ）()22()2()f x xf x ''=，因为(0)f '存在，所以()20()20(0)0x f x f =''=⨯⨯=，所以(C)正确；（D ）令 ()f x x =，则222()f x x x ==，所以函数2()f x 在0x =时的导数等于零，但是()f x x =在0x =处的导数(0)f '不存在，因此（D ）错误. （5）设22cos sin 33z i ππ=+，则2322z z z z +=++（ ） （A）122-+ （B）122i -（C）122- （D）122i -+【答案】C解析：易得31z =，2z z =，210z z ++=，23211111212222z z z z i z z +=+=+=--=-++，因此答案选C.（6）甲、乙、丙、丁四人进行网球比赛，首先是甲与乙比，丙与丁比，这两场比赛的胜者再争夺冠军. 他们之间相互获胜的概率如下：则甲获得冠军的概率为（ ）（A ）0.165 （B ）0.245（C ）0.275 （D ）0.315 【答案】A解析：甲与乙比甲获胜为事件A ，则()0.3P A =， 丙与丁比，丙获胜为事件B ，则()0.5,P B =()0.5,P B = 甲与丙比甲获胜为事件C ，则()0.3,P C = 甲与丁比甲获胜为事件D ，则()0.8,P D = 甲获胜的概率为()()()P ABC ABD P ABC P ABD +=+ ()()()()()()P A P B P C P A P B P D =+0.30.50.30.30.50.80.165=⨯⨯+⨯⨯=. 因此答案选A.（7）设函数2()()x f x x a e =+在R 上存在最小值，则函数2()g x x x a =++的零点个数为（ ） （A ）0 （B ）1 （C ）2 （D ）无法确定 【答案】C解析：2()(2)x f x x x a e '=++①当1a ≥时，220x x a ++≥在R 上恒成立，所以()0f x '≥在R 上恒成立，所以函数()f x 在R 上单调递增，因此()f x 在R 上无最小值；②当1a <时，令()0f x '=，则11x =，21x =，且21x x <，()f x '和()f x 的变化情况如下表：x →-∞时，()0f x →，因为()f x 在2(,)x -∞上单调递增，在21(,)x x 上单调递减，在1(,)x +∞上单调递增，所以若()f x 有最小值，只需要1()0f x ≤.11()(2)0x f x e =-≤2⇔≤11a ⇔≤-0a ⇔≤. 20x x a ++=的判别式为141a ∆=-≥，所以()g x 有两个零点. 因此选C.（8）设随机变量ξ的分布列如下：则 （ ）（A ）当{}n a 为等差数列时，5615a a += （B ）数列{}n a 的通项公式可能为1110(1)n a n n =+（C ）当数列{}n a 满足12n n a =(1,2,,9)n =时，10912a =（D ）当数列{}n a 满足2()k P k k a ξ≤=(1,2,,10)k =时，1110(1)n a n n =+【答案】ABCD解析：由题目可知12101a a a +++=；（A ）若{}n a 为等差数列，1210565()1a a a a a +++=+=，所以5615a a +=； （B ）11111110(1)101n a n n n n ⎛⎫==- ⎪++⎝⎭，则0n a ≥，且121011111111111111022310111011a a a ⎡⎤⎛⎫⎛⎫⎛⎫⎛⎫+++=-+-++-=-= ⎪ ⎪ ⎪ ⎪⎢⎥⎝⎭⎝⎭⎝⎭⎝⎭⎣⎦，符合分布列的定义，因此B 正确； （C ）129991111222a a a +++=++=-，又由分布列的定义可知12101a a a +++=，所以10912a =，C 正确； （D ）2()k P k k a ξ≤=，则10(10)1001P a ξ≤==，所以10111100101011a ==⨯⨯，满足题意， 当2k ≥时，221()(1)(1)k k k a P k P k k a k a ξξ-=≤-≤-=--，则221(1)(1)(1)(1)k k k k a k a k k a --=-=-+，因为2k ≥，所以1(1)(1)k k k a k a --=+，即111k k k a a k -+=-. 91011111119910010910a a ==⋅=⨯⨯，满足题意. 当29n ≤≤时，1110112121110111111119(1)10010(1)n n n n n n n n a a a a n n n n nn n n n-++++++⨯==⋅=⋅⋅=⋅=-----则当18n ≤≤时，1110(1)n a n n =+. 因此D 正确.（9）棱长为1的正方体1111ABCD A B C D -中，O 为正方体的中心，E 在11B C 上，11113B E BC =，F 在1AA 上，1114A F AA =，则四面体B EFO -的体积为（ ）（A ）11144 （B ）17144（C ）1138 （D ）1738【答案】A解析：以A 为原点建立空间直角坐标系，则(0,0,0)A ，111(,,)222O ，(1,0,0)B ，1(1,0,1)B ，1(1,1,1)C ，1(1,,1)3E ,3(0,0,)4F ,则111(,,)222BO =-,1(1,0,)4BF =-,1(0,,1)3BF =,四面体B EFO -的体积为111222131110641441013--=（10）设定义在R 上的函数()f x ，()g x 满足：①(0)1g =；②对任意实数12,x x ，121212()()()()()g x x f x f x g x g x -=+；③存在大于零的常数λ，使得()1f λ=，且当(0,)x λ∈时，()0f x >，()0g x > 则（A ）()(0)0g f λ== （B ）当(0,)x λ∈时，()()1f x g x +> （C ）函数()f x ()g x 在R 上无界 （D ）任取x R ∈，()()f x g x λ-= 【答案】ABD解析：令120x x ==，代入②得22(0)(0)(0)g f g =+，因为(0)1g =，所以(0)0f =；令12x x λ==，代入②得22(0)()()g f g λλ=+，因为()1f λ=，所以()0g λ=，因此()(0)0g f λ==；A 正确对于任意实数x ，令12x x x ==代入②得22(0)()()1g f x g x =+=，可得2()1f x ≤，2()1g x ≤，进而()1f x ≤，()1g x ≤，因此C 错误；当(0,)x λ∈时，()0f x >，()0g x >，所以20()1f x <<，20()1g x <<，进而0()1f x <<，0()1g x <<，故22()(),()()f x f x g x g x <<，因此22()()()()f x g x f x g x +<+，又22()()1f x g x +=，故()()1f x g x +>，所以B 正确；令1x λ=，2x x λ=-，代入②得()()()()()g x f f x g g x λλλλ=-+-，又()(0)0g f λ==，()1f λ=，所以()()g x f x λ=-，故D 正确.（11）设,,A B C 是随机事件，A 与C 互不相容，1()2P AB =，1()3P C =，则()P AB C = （ ） （A ）16 （B ）12（C ）13 （D ）34【答案】D解析：因为A 与C 互不相容，所以A C ⊂，则AB C ⊂，因此ABC AB =，可得1()()32()2()()43P ABC P AB P AB C P C P C ====，所以该题选D.（12）甲、乙、丙、丁四人参加数学竞赛，四人在成绩公布前作出如下预测：甲预测说：获奖者在乙、丙、丁三人中； 乙预测说：我不会获奖，丙获奖； 丙预测说：甲和丁中有一人获奖； 丁预测说：乙的猜测是对的.成绩公布后表明，四人的猜测中有两人的预测与结果相符. 另外两人的预测与结果不相符，已知有两人获奖，则获奖的是（ ）（A ）甲和丁 （B ）乙和丁 （C ）乙和丙 （D ）甲和丙 【答案】B解析：因为乙和丁的预测一样，则根据题干可知四人的猜测有两种情况：①乙和丁的预测与结果相符，甲和丙的预测与结果不相符，那么丙获奖，因为丙的预测与结果不相符，所以丙和乙获奖，与甲的预测相符了，矛盾；②乙和丁的预测与结果不相符，甲和丙的预测与结果相符，那么乙获奖，丙不获奖，结合甲预测可知丁获奖，与丙的预测相符，因此获奖者是乙和丁.该题选B. （13）设24πα=，则sin sin sin sin cos 4cos3cos3cos 2cos 2cos cos ααααααααααα+++=（A）6 （B）3 （C）2 （D ）12【答案】B 解析：sin sin((1))cos cos(1)cos cos(1)n n n n n n ααααααα--=--sin cos(1)cos sin(1)tan tan(1)cos cos(1)n n n n n n n n αααααααα---==---所以sin sin sin sin cos 4cos3cos3cos 2cos 2cos cos ααααααααααα+++tan 4tan3tan3tan 2tan 2tan tan ααααααα=-+-+-+tan 4tan63πα===. 因此该题选B（14）设正三棱锥P ABC -的高为h ，底面三角形的边长为1. 设异面直线AB 与PC 的距离为()d h ，则lim ()h d h →∞=（A ）1 （B ）12（C （D ）【答案】C解析：在APC ∆内，过A 向PC 做垂线，垂足为Q ，即AQ PC ⊥，连结BQ ，根据对称性，显然BQ PC ⊥，且BQ AQ =，取AB 中点D ，连结DQ ，DQ ⊂平面AQBAQ PC BQ PC ⊥⎫⇒⎬⊥⎭PC ⊥平面AQB ，又DQ ⊂平面AQB DQ PC ⇒⊥，在AQB 中，BQ AQ =，D 为AB 中点，所以DQ AB ⊥， 因此DQ 为AB 与PC 的公垂线；设点P 在平面ABC 的投影为O ，则AO BO CO ===,AP BP CP ===在APC 中，112APCS=⋅=又12APCSPC AQ AQ =⋅⋅=，所以AQ =，在等腰三角形AQB ∆中，DQ ===()d h =lim ()h h h d h →∞====（15）设,,αβγ分别为1,61,121︒︒︒，则（A ）tan tan tan 3tan tan tan αβγαβγ++=- （B ）tan tan tan tan tan tan 3αββγγα++=-（C ）tan tan tan 3tan tan tan αβγαβγ++=- （D ）tan tan tan tan tan tan 3αββγγα++=【答案】AB解析：22tan (tan 3)tan(60)tan tan(60)tan (13tan )βββββββ--︒+︒==-tan(60)tan tan(60)tan ββββ-︒+++︒=+3228tan 9tan 3tan tan tan 13tan 13tan βββββββ-=+=+=-- 223tan (3tan )13tan βββ-=- 所以tan tan tan tan(60)tan tan(60)3tan tan tan tan(60)tan tan(60)αβγβββαβγβββ++-︒+++︒==--︒+︒，A 正确.tan tan tan tan tan tan αββγγα++tan(60)tan tan tan(60)tan(60)tan(60)ββββββ=-︒++︒++︒-︒tan (tan(60)tan(60))tan(60)tan(60)βββββ=+︒+-︒++︒-︒ tan (tan(60)tan(60))tan(60)tan(60)βββββ=+︒+-︒++︒-︒22228tan tan 313tan 13tan ββββ-=+-- 229tan 313tan ββ-=- 3=-. 所以B 正确.（16）设函数7(,)6()22f x y xy x y =-++-，则[0,1][0,1]max{min{(,)}}y x f x y ∈∈=（A ）0 （B ）124（C ）124- （D ）[0,1][0,1]min{max{(,)}}y x f x y ∈∈【答案】BD解析：77(,)6222f x y x y x ⎛⎫=-+- ⎪⎝⎭求[0,1]min{(,)y f x y ∈把(,)f x y 看成y 的一次函数，[0,1]77(,0) 2 212min (,)357(,1) 2212y f x x x f x y f x x x ∈⎧⎛⎫=-≤ ⎪⎪⎪⎝⎭=⎨⎛⎫⎪=-> ⎪⎪⎝⎭⎩则[0,1]min (,)y f x y ∈在[0,1]x ∈上的最大值在712x =处取得， 所以[0,1][0,1]771max{min{(,)}}221224y x f x y ∈∈=⨯-=. 选项B 正确.[0,1]357(1,) 2212max{(,)}77(0,) 2 212x f y y y f x y f y y y ∈⎧⎛⎫=-≤ ⎪⎪⎪⎝⎭=⎨⎛⎫⎪=-> ⎪⎪⎝⎭⎩， 则[0,1]max{(,)}x f x y ∈在[0,1]y ∈的最小值在712y =处取得， 所以[0,1][0,1]771min{max{(,)}}221224y x f x y ∈∈=⨯-=，故[0,1][0,1][0,1][0,1]max{min{(,)}}min{max{(,)}}y y x x f x y f x y ∈∈∈∈=.所以D 正确.（17）椭圆2222:1x y C a b+=的左、右焦点分别为1F 和2F ，P 为C 上的动点，则（A）当a =时，满足1290F PF ∠=︒的点P 有两个 （B）当a <时，满足1290F PF ∠=︒的点P 有四个（C ）12F PF 面积的最大值为22a（D ）12F PF 的周长小于4a 【答案】AD解析：求满足1290F PF ∠=︒的点的个数只需要求22222221x y a b x y c ⎧+=⎪⎨⎪+=⎩的交点的个数，将222y c x =-代入椭圆可得222221x c x a b -+=，化简得22222222221c c b a x a b b b --=-=，即222222a b x a c-=.当a =时，0x =，因此满足1290F PF ∠=︒的点P 有两个，为短轴两个端点，A 正确；当a <时，20x <，因此满足1290F PF ∠=︒的点P 不存在，B 错误； 显然，当点P 位于短轴端点时，12F PF 面积最大，此时12122F PF Sc b bc =⋅⋅=，C 错误； 12F PF 的周长为224a c a +<，D 正确.（18）设复数z 使得10z 及10z的实部和虚部都是小于1的正数. 记z 在复平面上对应的点的集合是图形C ，则C 的面积是（A ）25752π- （B ）25702π- （C ）15752π- （D ）15702π-【答案】A解析：令z x iy =+，则101010z x y i =+，22101010()x iy z x iy x y ==+-+由题意可知22220,1101010100,1x y x y x y x y ⎧<<⎪⎪⎨⎪<<++⎪⎩，则22220,101010x y x y x x y y <<⎧⎪+>⎨⎪+>⎩，图中的阴影部分就是所求的图形C ，两圆相交部分的面积为252542π-，所以 C 的面积是25252510025275422S πππ⎡⎤⎛⎫=---⨯=-⎪⎢⎥⎝⎭⎣⎦. 选A. （19）设n 是正整数，则定积分22120()(1sin )d n n x x x ππ--+⎰的值（A ）等于0 （B ）等于1 （C ）等于π （D ）与n 的取值有关 【答案】A解析：令x y π-=，则22122120()(1s i n )d (1s i n )d n nn nx x x y yyππππ----+=+⎰⎰，因为212(1sin )n n y y -+是奇函数，则积分的上下限关于原点对称，所以212(1sin )d 0n n y y y ππ--+=⎰.（20）过点(1,0)F 的直线交抛物线24y x =于,A B 两点，则（A ）以AB 为直径的圆与直线32x =-没有公共点（B ）以FB 为直径的圆与y 轴只有一个公共点（C ）AB 的最小值为4（D ）AF 的最小值为2【答案】ABC解析：AB 时抛物线的焦点弦，焦点弦与准线1x =-相切，与32x =-相离，A 项正确；由抛物线定义知B 项也正确；当AB 垂直x 轴时，其长度最短为2p=4（此时称为通径），C 正确；||||1AF AO >=，即AF 可无限接近于1，最小值不存在，D 错误。
2016年世界少年奥数赛八年级海选赛试题及答案解析
世界少年奥林匹克数学比赛（中国区）选拔赛地方海选赛（2016 年 10 月）选手须知：1、本卷共三部分，第一部分：填空题，合计50 分；第二部分：计算题，合计12 分；第三部分：解答题，合计 58 分。
2、答题前请将自己的姓名、学校、赛场、参赛证号码写在规定的地点。
3、比赛时不可以使用计算工具。
4、比赛完成时试卷和底稿纸将被回收。
八年级试题（Ａ卷）（本试卷满分 120 分 ，考试时间 90分钟 ）一、填空题。
（每题 5 分，合计50 分） 1、 36 的平方根是。
2、若方程 m x+n y=6 的两个解是x 1 及 x 2 ，则 m= ，n =。
y 1 y 13、已知 ab 1 ， a 2 b 2 25, a b。
4、已知 x=y+z=2，则 x 3 3y 2 3z 2 3xyz。
5、假如实数 a ，b 知足条件a 2b 21,|12 b | 2 1 b 2 a 2 , 则 a+b=。
a a6、某班级春游时 48 人到杭州西湖划船。
已知每只小船坐 3 个人，租金 16 元；每只大船坐 5 个人， 租金 24 元，则这个班级租金起码花元。
7、在△ABC 中，∠B=60°，∠C ＞∠A ，且 ( C) 2 （ 22A ） （B ）, 则△ABC 的形状是 。
8、察看以下式子： 92 10 8 1； 992 100 98 1 ； 99921000998 1， ，按规律写出 999999 2。
（填写详细数字）9、如图，韩梅梅从 A 点出发，沿直线行进 10 米后向左转30°，再沿直线行进 10 米，又向左转30°，照这样子走下去，他第一次回到起点 A 时走了米。
10、如图直线L 与∠ A 的两边订交于点B、 C，则图中以A、 B、 C为端点的射线有条。
二、计算题。
（每题 6 分，合计 12 分）11、 1+3+5+7+9+ +1997+199912、 1+5+5 2+53++5100三、解答题。
清华大学2016自主招生暨领军计划试题 解析版
For personal use only in study and research; not for commercial useFor personal use only in study and research; not for commercial use2016年清华大学自主招生暨领军计划试题1.已知函数x e a x x f )()(2+=有最小值，则函数a x x x g ++=2)(2的零点个数为（ ） A.0 B.1 C.2 D.取决于a 的值 答案：注意)()(/x g e x f x=，答案C .2. 已知ABC ∆的三个内角C B A ,,所对的边为c b a ,,.下列条件中，能使得ABC ∆的形状唯一确定的有（ ）A.Z c b a ∈==,2,1B.B b C a C c A a A sin sin 2sin sin ,1500=+=C.060,0sin cos )cos(cos sin cos ==++C C B C B C B A D.060,1,3===A b a答案：对于选项A ，由于b a c b a +<<-||，于是c 有唯一取值2，符合题意；对于选项B ，由正弦定理，有2222b ac c a =++，可得0135,22cos =-=B B ，无解； 对于选项C ，条件即0)sin(cos =-C B A ，于是)60,60,60(),60,30,90(),,(0=C B A ，不符合题意；对于选项D ，由正弦定理，有21sin =B ，又060=A ，于是0090,30==C B ，符合题意. 答案：AD .3.已知函数x x g x x f ln )(,1)(2=-=，下列说法中正确的有（ ） A.)(),(x g x f 在点)0,1(处有公切线B.存在)(x f 的某条切线与)(x g 的某条切线平行C. )(),(x g x f 有且只有一个交点D. )(),(x g x f 有且只有两个交点答案：注意到1-=x y 为函数)(x g 在)0,1(处的切线，如图，因此答案BD .4. 过抛物线x y 42=的焦点F 作直线交抛物线于B A ,两点，M 为线段AB 的中点.下列说法中正确的有（ ）A.以线段AB 为直径的圆与直线23-=x 一定相离 B. ||AB 的最小值为4 C. ||AB 的最小值为2D.以线段BM 为直径的圆与y 轴一定相切 答案：对于选项A ，点M 到准线1-=x 的距离为||21|)||(|21AB BF AF =+，于是以线段AB 为直径的圆与直线1-=x 一定相切，进而与直线23-=x 一定相离；对于选项B,C ，设)4,4(2a a A ，则)1,41(2a a B -，于是2414||22++=aa AB ，最小值为4.也可将||AB 转化为AB 中点到准线的距离的2倍去得到最小值； 对于选项D ，显然BD 中点的横坐标与||21BM 不一定相等，因此命题错误. 答案：AB .5. 已知21,F F 是椭圆)0(1:2222>>=+b a by a x C 的左、右焦点，P 是椭圆C 上一点.下列说法中正确的有（ ） A.b a 2=时，满足02190=∠PF F 的点P 有两个 B. b a 2>时，满足02190=∠PF F 的点P 有四个C.21F PF ∆的周长小于a 4D. 21F PF ∆的面积小于等于22a答案：对于选项A,B ，椭圆中使得21PF F ∠最大的点P 位于短轴的两个端点； 对于选项C ，21PF F ∆的周长为a c a 422<+；对于选项D ，21PF F ∆的面积为22212121212||||21sin ||||21a PF PF PF F PF PF =⎪⎭⎫ ⎝⎛+≤∠⋅.答案：ABCD .6.甲、乙、丙、丁四个人参加比赛，有两花获奖.比赛结果揭晓之前，四个人作了如下猜测： 甲：两名获奖者在乙、丙、丁中； 乙：我没有获奖，丙获奖了； 丙：甲、丁中有且只有一个获奖； 丁：乙说得对.已知四个人中有且只有两个人的猜测是正确的，那么两个获奖者是（ ） A.甲 B.乙 C.丙 D.丁答案：乙和丁同时正确或者同时错误，分类即可，答案：BD . 7. 已知AB 为圆O 的一条弦（非直径），AB OC ⊥于C ，P 为圆O 上任意一点，直线PA 与直线OC 相交于点M ，直线PB 与直线OC 相交于点N .以下说法正确的有（ ）A.P B M O ,,,四点共圆 B. N B M A ,,,四点共圆 C. N P O A ,,,四点共圆 D.以上三个说法均不对答案：7.对于选项A ，OPM OAM OBM ∠=∠=∠即得；对于选项B ，若命题成立，则MN 为直径，必然有MAN ∠为直角，不符合题意； 对于选项C ，MAN MOP MBN ∠=∠=∠即得. 答案：AC.8.C B A C B A cos cos cos sin sin sin ++>++是ABC ∆为锐角三角形的（ ） A.充分非必要条件 B.必要非充分条件C.充分必要条件D. 既不充分也不必要条件 答案：必要性：由于1cos sin )2sin(sin sin sin >+=-+>+B B B B C B π,类似地，有1sin sin ,1sin sin >+>+A B A C ， 于是C B A C B A cos cos cos sin sin sin ++>++. 不充分性：当4,2ππ===C B A 时，不等式成立，但ABC ∆不是锐角三角形.答案：B.9.已知z y x ,,为正整数，且z y x ≤≤，那么方程21111=++z y x 的解的组数为（ ） A.8 B.10 C.11 D.12 答案：由于xz y x 311121≤++=，故63≤≤x . 若3=x ，则36)6)(6(=--z y ，可得)12,12(),15,10(),18,9(),24,8(),42,7(),(=z y ；若4=x ，则16)4)(4(=--z y ，可得)8,8(),12,6(),20,5(),(=z y ；若5=x ，则6,5,320,211103=≤≤+=y y y z y ，进而解得)10,5,5(),,(=z y x ； 若6=x ，则9)3)(3(=--z y ，可得))6,6(),(=z y . 答案：B .10.集合},,,{21n a a a A =，任取A a a A a a A a a n k j i i k k j j i ∈+∈+∈+≤<<≤,,,1这三个式子中至少有一个成立，则n 的最大值为（ ）A.6B.7C.8D.9答案：不妨假设n a a a >>> 21，若集合A 中的正数的个数大于等于4，由于32a a +和42a a +均大于2a ，于是有14232a a a a a =+=+，从而43a a =，矛盾！所以集合A 中至多有3个正数.同理可知集合A 中最多有3个负数.取}3,2,1,0,1,2,3{---=A ，满足题意，所以n 的最大值为7.答案B . 11.已知0121,61,1===γβα，则下列各式中成立的有（ ） A.3tan tan tan tan tan tan =++αγγββα B.3tan tan tan tan tan tan -=++αγγββαC.3tan tan tan tan tan tan =++γβαγβαD.3tan tan tan tan tan tan -=++γβαγβα答案：令γβαtan ,tan ,tan ===z y x ，则3111=+-=+-=+-zxzx yz y z xy x y ，所以)1(3),1(3),1(3zx z x yz y z xy z y +=-+=-+=-，以上三式相加，即有3-=++zx yz xy .类似地，有)11(311),11(311),11(311+=-+=-+=-zxx z yz z y xy y x ， 以上三式相加，即有3111-=++=++xyzzy x zx yz xy .答案BD.12.已知实数c b a ,,满足1=++c b a ，则141414+++++c b a 的最大值也最小值乘积属于区间（ ）A.)12,11(B.)13,12(C.)14,13(D.)15,14( 答案：设函数14)(+=x x f ，则其导函数142)(/+=x x f ，作出)(x f 的图象，函数)(x f 的图象在31=x 处的切线321)31(7212+-=x y ，以及函数)(x f 的图象过点)0,41(-和)7,23(的割线7174+=x y ，如图， 于是可得321)31(7212147174+-≤+≤+x x x ， 左侧等号当41-=x 或23=x 时取得； 右侧等号当31=x 时取得.因此原式的最大值为21，当31===c b a 时取得；最小值为7，当23,41=-==c b a 时取得，从而原式的最大值与最小值的乘积为)169,144(37∈.答案B .13.已知1,1,,,222=++=++∈z y x z y x R z y x ，则下列结论正确的有（ ） A.xyz 的最大值为0 B. xyz 的最大值为274- C. z 的最大值为32 D. z 的最小值为31- 答案：由1,1222=++=++z y x z y x 可得0=++zx yz xy .设c xyz =，则z y x ,,是关于t 的方程023=--c t t 的三个根.令c t t t f --=23)(，则利用导数可得⎪⎩⎪⎨⎧≤--=>-=0274)32(0)0(c f c f ，所以0274≤=≤-xyz c ，等号显然可以取到.故选项A,B 都对. 因为)1(2)(2)1()(22222z y x z y x -=+≤-=+，所以131≤≤-z ，等号显然可以取到，故选项C 错误.答案ABD .14.数列}{n a 满足)(6,2,1*1221N n a a a a a n n n ∈-===++，对任意正整数n ，以下说法中正确的有（ ）A.n n n a a a 221++-为定值 B.)9(mod 1≡n a 或)9(mod 2≡n a C.741-+n n a a 为完全平方数 D.781-+n n a a 为完全平方数答案：因为2112221122213226)6(++++++++++++-=--=-n n n n n n n n n n n a a a a a a a a a a an n n n n n n a a a a a a a 22121122)6(++++++-=+-=.所以A 选项正确；由于113=a ，故76)6(2121121221-=+-=--=-++++++n n n n n n n n n n n a a a a a a a a a a a ， 又对任意正整数恒成立，所以211211)(78,)(74n n n n n n n n a a a a a a a a +=--=-++++，故选项C,D 正确.计算前几个数可判断选项B 错误. 答案：ACD .说明：若数列}{n a 满足n n n a pa a -=++12，则n n n a a a 221++-为定值. 15. 若复数z 满足11=+zz ，则z 可以取到的值有（ ） A.21 B.21- C.215- D.215+ 答案：因为11||1||=+≤-zz z z ，故215||215+≤≤-z ，等号分别当i z 215+=和i z 215-=时取得.答案CD . 16. 从正2016边形的顶点中任取若干个，顺次相连构成多边形，若正多边形的个数为（ ） A.6552 B.4536 C.3528 D.2016答案：从2016的约数中去掉1，2，其余的约数均可作为正多边形的边数.设从2016个顶点中选出k 个构成正多边形，这样的正多边形有k2016个，因此所求的正多边形的个数就是2016的所有约数之和减去2016和1008.考虑到732201625⨯⨯=，因此所求正多边形的个数为352810082016)71)(931)(32168421(=--++++++++.答案C .17.已知椭圆)0(12222>>=+b a b y a x 与直线x y l x y l 21:,21:21-==，过椭圆上一点P 作21,l l 的平行线，分别交21,l l 于N M ,两点.若||MN 为定值，则=ba（ ） A.2 B.3 C.2 D.5 答案：设点),(00y x P ，可得)2141,21(),2141,21(00000000y x y x N y x y x M +--++， 故意2020441||y x MN +=为定值，所以2,1641422===b a b a ，答案：C .说明：（1）若将两条直线的方程改为kx y ±=，则kb a 1=； （2）两条相交直线上各取一点N M ,，使得||MN 为定值，则线段MN 中点Q 的轨迹为圆或椭圆.18. 关于y x ,的不定方程yx 21652=+的正整数解的组数为（ ） A.0 B.1 C.2 D.3答案：方程两边同时模3，可得)3(mod 22yx ≡，因y2不能被3整除，故2x 不能被3整除，所以)3(mod 12≡x ，故)3(mod 12≡y，所以y 为偶数，可设)(2*N m m y ∈=，则有4153615)2)(2(⨯⨯==+-x x mm，解得⎪⎩⎪⎨⎧=+=-,1232,52x x m m 即⎩⎨⎧==.12,59y x 答案：B .19.因为实数的乘法满足交换律与结合律，所以若干个实数相乘的时候，可以有不同的次序.例如，三个实数c b a ,,相乘的时候，可以有 ),(),(,)(,)(ca b ab c c ba c ab 等等不同的次序.记n 个实数相乘时不同的次序有n I 种，则（ ）A.22=IB.123=IC.964=ID.1205=I 答案：根据卡特兰数的定义，可得1121221)!1(!1------=⋅==n n n n nn n n C n n C nA C I .答案：AB . 关于卡特兰数的相关知识见《卡特兰数——计数映射方法的伟大胜利》.20.甲乙丙丁4个人进行网球淘汰赛，规定首先甲乙一组、丙丁一组进行比赛，两组的胜者争夺冠军.4个人相互比赛的胜率如表所示：表中的每个数字表示其所在的选手击败其所在列的选手的概率，例如甲击败乙的概率是0.3，乙击败丁的概率是0.4.那么甲刻冠军的概率是 .答案：根据概率的乘法公式 ，所示概率为165.0)8.05.03.05.0(3.0=⨯+⨯.21.在正三棱锥ABC P -中，ABC ∆的边长为1.设点P 到平面ABC 的距离为x ，异面直线CP AB ,的距离为y .则=∞→y x lim .答案：当∞→x 时，CP 趋于与平面ABC 垂直，所求极限为ABC ∆中AB 边上的高，为23. 22.如图，正方体1111D C B A ABCD -的棱长为1，中心为A A E A BC BF O 1141,21,==，则四面体OEBF 的体积为 .答案：如图，EBF G EBF O OEBF V V V --==21961161212111=⋅==--B BCC E GBF E V V . 23.=+-⎰-dx x x n n )sin 1()(22012ππ .答案：根据题意，有0)sin 1()sin 1()(21222012=+=+-⎰⎰---dx x x dx x x n n nn ππππ.24.实数y x ,满足223224)(y x y x =+，则22y x +的最大值为 .答案：根据题意，有22222322)(4)(y x y x y x +≤=+，于是122≤+y x ，等号当2122==y x 时取得，因此所求最大值为1.25.z y x ,,均为非负实数，满足427)23()1()21(222=+++++z t x ，则z y x ++的最大值与最小值分别为 .答案：由柯西不等式可知，当且仅当)0,21,1(),,(=z y x 时，z y x ++取到最大值23. 根据题意，有41332222=+++++z y x z y x ， 于是,)(3)(4132y z y x z y x +++++≤解得2322-≥++z y x .于是z y x ++的最小值当)2322,0,0(),(-=yz x 时取得，为2322-. 26.若O 为ABC ∆内一点，满足2:3:4::=∆∆∆COA BOC AOB S S S ，设AC AB AO μλ+=，则=+μλ .答案：根据奔驰定理，有329492=+=+μλ. 27.已知复数32sin32cos ππi z +=，则=+++2223z z z z . 答案：根据题意，有i i z z z z z z 232135sin 35cos 122223-=+=-=+=+++ππ. 28.已知z 为非零复数，zz 40,10的实部与虚部均为不小于1的正数，则在复平面中，z 所对应的向量OP 的端点P 运动所形成的图形的面积为 .答案：设),(R y x yi x z ∈+=，由于2||4040z z z =，于是⎪⎪⎩⎪⎪⎨⎧≥+≥+≥≥,140,140,110,1102222y x y yx x y x 如图，弓形面积为1003100)6sin 6(20212-=-⋅⋅πππ， 四边形ABCD 的面积为100310010)10310(212-=⋅-⋅. 于是所示求面积为30031003200)1003100()1003100(2-+=-+-ππ.29.若334tan =x ，则=+++xx x x x x x x x x x cos sin cos 2cos sin 2cos 4cos 2sin 4cos 8cos 4sin . 答案：根据题意，有xxx x x x x x x x x cos sin cos 2cos sin 2cos 4cos 2sin 4cos 8cos 4sin +++ 38tan tan )tan 2(tan )2tan 4(tan )4tan 8(tan ==+-+-+-=x x x x x x x x .30.将16个数：4个1，4个2，4个3，4个4填入一个44⨯的数表中，要求每行、每列都恰好有两个偶数，共有 种填法.答案：首先确定偶数的位置有多少种选择.第一行两个偶数有24C 种选择. 下面考虑这两个偶数所在的列，每列还需要再填空一个偶数，设为b a ,.情形一：若b a ,位于同一行，它们的位置有3种选择，此时剩下的四个偶数所填的位置唯一确定；情形二：若b a ,位于不同的行，它们的位置有6种选择，此时剩下的四个偶数所填的位置有2种选择.所以偶数的不是位置数为90)263(24=⋅+C .因此，总的填法数为4410009048488=C C .31.设A 是集合}14,,3,2,1{ 的子集，从A 中任取3个元素，由小到大排列之后都不能构成等差数列，则A 中元素个数的最大值为 .答案：一方面，设},,,{21k a a a A =，其中141,*≤≤∈k N k .不妨假设k a a a <<< 21. 若9≥k ，由题意，7,33513≥-≥-a a a a ，且1335a a a a -≠-，故715≥-a a .同理759≥-a a .又因为1559a a a a -≠-，所以1519≥-a a ，矛盾！故8≤k .另一方面，取}14,13,11,10,5,4,2,1{=A ，满足题意. 综上所述，A 中元素个数的最大值为8. 1. 2. 3. 4. 5. 6. 8. 9. 10. 11. 11. 12.For personal use only in study and research; not for commercial use.Nur für den persönlichen für Studien, Forschung, zu kommerziellen Zwecken verwendet werden.Pour l 'étude et la recherche uniquement à des fins personnelles; pas à des fins commerciales.толькодля людей, которые используются для обучения, исследований и не должны использоваться в коммерческих целях.以下无正文For personal use only in study and research; not for commercial use.Nur für den persönlichen für Studien, Fors chung, zu kommerziellen Zwecken verwendet werden.Pour l 'étude et la recherche uniquement à des fins personnelles; pas à des fins commerciales.толькодля людей, которые используются для обучения, исследований и не должны использоваться в коммерческих целях.以下无正文。
2016秋季五精英金杯选拔考试
3、(2+4+6+…+996+998+1000)－(1+3+5+…+995+997+999)
4、已知 12 22 32 42 n2 n( n 1)(2 n 1) 6 ，则 52 62 7 2 202 =？
二、填空.（每空 3 分，共 30 分）
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2016 年秋季五年级金杯、精英选拔考试
(满分：100 分
校区： 姓名：
考试时间：60 分钟)
班级：__________考号：____________电话:____________成绩:
一、计算题.（每题 5 分，共 20 分）
1、 101 83-25 83 4 2、（91×48×75）÷（25×13×16）
1、有红色、白色、蓝色三色球共 2016 个，按照红球 3 个、白球 4 个、蓝球 5 个、红球 3 个、白球 4 个、蓝球 5 个……的顺序依次排列，最后一个球是（ ）色. 2、某年的一月份恰好有 4 个星期五和 5 个星期四，那么这年的 1 月 1 日是星期（ ）. 3、新学期有三名插班生需要分配给一班和二班，且每个班至少分配一名插班生，一共有（ ） 种不同的分配方法. 4、王雷是国庆节那天出生的，若现在他年龄的 3 倍减去 8 刚好是他出生那月的总天数，则王雷今 年（ ）岁. 5、两个班植树，一班每人植 3 棵树，二班每人植 5 棵树，两班共植树 115 棵，两班人数之和最多 为（ ）人. 6、甲、乙、丙、丁四位学生在广场上踢足球，打碎了玻璃窗，有人问他们时，他们这样说： 甲：“玻璃是丙也可能是丁打碎的”； 乙：“是丁打碎的”； 丙：“我没有打碎玻璃”； 丁：“我才不干这种事”； 老师说：“他们中有三位绝不会说谎话”.那么是（ ）打碎了玻璃. 7、用 3、4、7、8 这 4 个数字组成两个两位数（每个数字只能使用一次且必须使用），它们的乘积 最大是（ ）. 8、如果规定 a*b=5×a－0.5×b，那么 10*6= （ ）. 9、两只狗熊掰棒子，大狗熊每隔 3 分钟掰一个，小狗熊每隔 5 分钟掰一个.如果从某一时刻他们同 时开始掰第一个，大狗熊在 9 点 40 分掰最后一个，小狗熊在 10：10 分掰最后一个，而且他们俩各 自掰的棒子数量刚好相同，那么两只狗熊掰第一个棒子的时间是（ ）. 10、有学生若干人参加植树活动，如果每组 12 人，就多 11 人，如果每组 14 人，就少积四分之一的小正方形的大正方形，请你将它分成大小形状完全 一样的两部分．如果分三部分呢？四部分呢？
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2016年SQS精英选拔题库1.什么是问题解决型项目针对现状存在的某种问题，分析原因，制定改进措施，以改善现状，达到规定标准或目标2.什么是SQS优质服务计划？是全体员工共同参与，通过SQS小组的形式研究解决工作中的问题，以实现优质服务的承诺。
3.SQS项目类型为：问题解决型、创新型4.SQS两个重要的管理理念是：倡导和强调创意引发，注重和坚持持续革新5.请说出拓展活动三大益处✓改善团队间的沟通协作能力；✓增强团队的凝聚力；✓培养员工自身及团队的荣誉感、责任感；✓提高员工参与的积极性。
✓创造融洽的团队氛围；✓提升个人领导力6.什么是调查表？又称检查表、统计分析表。
系统收集资料和进行累计数据，确认事实并对数据进行整理和分析7.三方受益的意义其中公司受益是哪些？公司方面：加强市场竞争力、增加公司利润、培养高素质员工队伍、建造革新文化提升公司长久竞争力8.SQS活动围绕四个工作重点指：监控经营成本、推行安全运作、提高服务水平、拓展燃气/水务市场9.确认要因的常用方法有哪些：现场验证、现场测试、现场调查10.什么是创新型项目不是针对现状存在的问题作改善活动，而是运用新的思维方式，开发新产品/项目、新方法，实现预期目标的项目。
11.现状调查在整个SQS研究活动中是很重要的一个环节，它的作用是为什么的确定提供充足的依据目标值12.在完成立项前研究步骤后，小组需填写什么报表递交公司指导委员会审批SQS项目研究报告和SQS立项申请表13.对两个以上问题进行原因分析的分析工具是哪个关联图14..制定对策常用的工具：头脑风暴法、亲和图15.目标值确定六大原则：一致性、单一性、量化、先进性、可行性、民主性16.制定对策的原则：针对主要原因；旨在消除降低主要原因的影响或隔离要因17.SQS小组类型分为：常设小组、特别小组、跨部门小组18.SQS选题依据：根据公司目标和发展规划、工作中的关键和薄弱环节、客户的需要19.关联图的基本类型：中央集中型、单侧汇集型20.SQS小组组成：协调员、促导员、小组成员、记录员21.问题解决自定目标值型项目进行立项前需完成的研究步骤为：选择课题、现状调查、设定目标22.在填写项目研究报告中，制订对策时我们时常选用对策实施计划表，请问对策实施计划表分为哪几项内容序号、对策、目标、措施、负责人、地点、完成日期23.SQS小组使用的表格主要有哪几个小组资料表、立项申请表、项目进展表、项目总结表、项目研究报告、小组会议记录24. 立项前需完成选择课题、设定目标的项目是什么类型的项目创新型25.请说出3个SQS拓展的项目是什么？信任背摔、空中抓扛、七巧板、高空断桥、不倒森林、生死电网、盲人方阵、生命之旅、CS对抗等26.鱼骨图中4M2E是指什么？人力、方法、机器/设备、物料/原料、能源、环境27.参与年底公司SQS项目优秀评选的项目必须在本年度什么时间前立项，何时前完成项目？4月1日前立项，10月31日前完成28.部门促导员的工作职责是什么部门促导员负责对本部门各SQS小组进行指导和支持以及推动本部门SQS工作的开展29.效果检查应该是将改善后的效果与什么做对比。
与小组设定的课题目标进行对比，与对策实施前的现状对比30.分析原因所用的常用工具是因果图、系统图、关联图、头脑风暴法31.确定主要原因的步骤：收集所有末端因素；剔除不可抗拒因素；逐条确认32.SQS小组组建的原则：自愿结合，上下结合、高度民主性、广泛参与、严密和科学性33.什么是优质服务优质服务是公司所有员工的参与及承诺——通过不断改进，以满足内部及外部客户的要求。
34.制定对策时需按什么表进行逐条实施对策实施计划表35.SQS活动的风车标志的寓意是什么？货如轮转，勤业不怠，顺风扬帆，安泰齐来36.指令性目标值的问题解决型项目独有的研究环节是什么？目标可行性分析37.高效率小组的特性：开放的沟通、互相支持信任、角色清楚分配、有效的组织结构、清楚的目标38.SQS小组记录员负责小组的什么工作小组相关活动和会议的记录工作38.树图的基本类型：宝塔型树图、侧向型树图39.进行现状调查所用的常用工具是分层法、调查表、排列图40..柏拉图定律是什么80％的财富掌握在20％的人手上，关键的少数决定大多数问题41.SQS项目需向公司指导委员会进行两次进展汇报，一次是制定对策后，实施对策前，第二次是什么时候效果检查达到目标后，制定巩固措施或实施标准化前42.问题解决指令性目标值项目进行立项前需完成的研究步骤为：选择课题、设定目标、目标可行性分析43.我公司SQS项目完成后须向哪个部门进行汇报？汇报人员和形式有什么要求行政委员会；小组C级员工，以PPT形式进行汇报44. SQS课题符合问题解决型或创新型课题要求，并需要具有一定的研究性，对不需要过多研究可以直接实施的创新办法按什么处理员工建议计划45. SQS项目研究遵循什么原则，分析原因是在项目研究的PDCA循环中的什么环节。
PDCA原则；P阶段46.什么是亲和图将收集到的大量有关某特定主题的意见、观点、想法等语言文字资料，按相互亲近的程度用图形加以归纳、汇总47. 哪种类型的小组是永久性的，成员可以轮换，但小组不解散。
对于长期不开展活动的小组予以怎样常设小组；注销48.创新型项目在实施对策后需进行什么工作标准化49.分层法的目的是什么在于把杂乱无章和错综复杂的数据加以归类汇总，使之能确切地反映客观事实50.SQS小组协调员是小组的核心人员，可以自荐并经过小组成员认可，也可以是由谁共同推荐小组成员51.创新型项目设定目标后需进行什么工作提出各种方案并确定最佳方案52.在填写项目研究报告中，制订对策时我们时常选用对策实施计划表，请问对策实施计划表分为哪几项内容序号、对策、目标、措施、负责人、地点、完成日期53..确定主要原因准则是什么依据末端原因对所分析的问题影响程度大小的确定54.什么是优质？优质是在第一次、每一次都符合客户的需要及能令他们满意，而代价是双方都愿意付出的。
55. 什么是分层法按一定的标志，把收集到的大量有关某一特定主题的统计数据加以归类、整理和汇总的一种方法56.做现状调查是为清楚问题的？严重程度57.怎样制订巩固措施把已被实践证明有效措施纳入有关标准；制、修订标准，必须按规定程序向标准的主管部门申报认可后、批准后执行。
58.现状调查的目的1.是要把握问题的现状2.是要找出问题的症结所在3.是为设定目标提供依据59.找出问题症结的方法步步逼近法；齐头并进法60.因果关系层次要分明，最多可到四层，多于四层使用什么图？成因图。
61.现状调查的步骤针对课题的问题对现状开展调查活动；对收集的数据进行分析，得出结论62.如何进行效果检查？与小组设定的课题目标进行对比；与对策实施前的现状对比63.什么是关联图表达关系复杂、原因之间相互关联的单一问题或多个问题的图形。
是根据逻辑关系理清关系复杂的语言文字资料的一种方法。
64.优质服务计划是香港中华煤气有限公司于哪年哪月开始推行的一项管理活动1992年6月65.SQS三方受益中顾客受益是指什么？令顾客加倍满意、提供高效率的服务66.哪年优质服务计划已于中华煤气在内地的合资企业全面推广普及2003年67.鱼骨图中鱼头与鱼尾是什么关系因果关系68.SQS课题来源为：自选、指导、指令69.SQS三方受益中员工受益是指什么？创造更佳工作环境、提升员工能力和机会、增强工作成就感70..SQS课题选题时不可涉及公司政策及什么薪资等71公司SQS推行人员对小组项目研究给予什么指导，确保项目研究成功跟踪72.日常工作没有数据怎么办设计日常工作的记录，记下重要信息（如投诉，除记录内容，可加入严重程度的分层指标）；在重要管理流程设立监测点，记录数据73.针对确认的要因逐一思考解决方案，每个要因至少有几个解决方案2-3个74.公司指导委员会对各小组和SQS推行工作人员激励的原则：及时确认成就、强调团队运作、注重精神激励75.自定目标值问题解决型项目在完成分析原因后的工作是什么确认主要原因76.指令性目标值问题解决型项目设定目标后需进行什么工作目标可行性分析77.思考激荡的四大原则不加批评、放任自由、注重数量、取人之见继续发展78..什么是因果图又叫石川图、特性要因图、鱼骨图等。
它是表示质量特性波动与其潜在原因的关系，即表达和分析因果关系的一种图表。
79.SQS特别关注SQS项目的成果质量及？运用80.哪些方面表现SQS项目的无形得益？公司形象提升、公司业务量增长、员工工作效率提高、客户服务满意度上升81.创新型项目与问题解决型存在哪方面的不同立意不同，过程不同、结果不同、方法不同82.“改善文件存档的流程。
”课题存在什么问题？使用研究范围、提案名称作为问题陈述句83.“使用互联网提高内部工作沟通的效率”课题存在问题是包含解决方法84 什么是外部客户？任何购买或使用我们的产品或服务的人士85.哪个表是按5W1H来制定制定对策表86. 课题名称：研发新型防振锤是什么类型课题创新型87.因果图中因果关系的层次要分明，最高层次的原因应寻求到什么为止寻求到可以直接采取对策为止88.收集数据的来源统计报表、质量记录及相关资料；到生产现场实地调查（观察、抽样、试验89.画树图时，树图中的主要类别一般可以不先从5M1E出发，而是根据什么去选取具体的质量问题或逻辑关系90.小组会议由谁发起？小组协调员题板题（请参附件PPT）绘制问题解决型流程图绘制指令型流程图创新型流程图：关联图：。