2017-2018学年北京市中国人民大学附属中学高二下学期第一次月考英语试题(Word版)

北京市人大附中2017-2018学年下学期高二第一次月考+化学试卷注意事项：1．答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上，并将准考证号条形码粘贴在答题卡上的指定位置。

2．选择题的作答：每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑，写在试题卷、草稿纸和答题卡上的非答题区域均无效。

3．非选择题的作答：用签字笔直接答在答题卡上对应的答题区域内。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

4．考试结束后，请将本试题卷和答题卡一并上交。

一、选择题（16×3分=48分）1. 下列各对物质中属于同分异构体的是A. C与CB. O2与O3C. CH3CH2CH3与CH2(CH3)2D. CH3CH2CH2CH2CH3与CH3CH2CH(CH3)2【答案】D【解析】A、和互为同位素，A错误；B、O2与O3互为同素异形体，B错误；C、两者为同一物质，C 错误；D、分子式相同结构不同，互为同分异构体，D正确，答案选D。

2. 下列说法中正确的是A. 相对分子质量相同，组成元素也相同的化合物一定是同分异构体B. 凡是分子组成相差一个或若干个CH2原子团的物质，彼此一定是同系物C. 两种物质的组成元素相同，各元素的质量分数也相同，则二者一定是同分异构体D. 分子式相同的不同有机物一定互为同分异构体【答案】D【解析】A项，相对分子质量相同，组成元素也相同的化合物不一定是同分异构体，如HCOOH与CH3CH2OH 等，错误；B项，分子组成相差一个或若干个CH2原子团的物质，如果结构不相似则不是同系物，如CH3OH 与CH3OCH3等，错误；C项，两种物质的组成元素相同，各元素的质量分数也相同，则两物质的实验式相同，但两者的分子式不一定相同，不一定是同分异构体，如NO2与N2O4等，错误；D项，分子式相同的不同有机物，结构不同，一定互为同分异构体，正确；答案选D。

3. 下列各项有机化合物的命名或分类正确的是A. 2，3-二甲基-2-乙基己烷B. CH3CH2CH2Cl氯丙烷C. 属于芳香化合物D. 属于羧酸【答案】D【解析】试题分析：A．主链选错，应该命名为3，3,4－三甲基庚烷，错误；B．没有指明取代基所在主链碳原子的位置，CH3CH2CH2Cl的名称应该是1-氯丙烷，错误；C．没有苯环，是脂肪环的羟基取代产物，名称是环己醇，错误；D．含有羧基，属于羧酸，正确。

人大附中2017-2018学年1月份测试卷高三英语注意事项：1．答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上，并将准考证号条形码粘贴在答题卡上的指定位置。

2．选择题的作答：每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，写在试题卷、草稿纸和答题卡上的非答题区域均无效。

3．非选择题的作答：用签字笔直接答在答题卡上对应的答题区域内。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

4．考试结束后，请将本试题卷和答题卡一并上交。

第Ⅰ卷 （选择题，共100分）第一部分：听力（共两节，满分30分)第一节 听下面5段对话。

每段对话后有一个小题，从题中所给的A 、B 、C 三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

例：How much is the shirt? A. £ 19. 15.B. £ 9. 18.C. £ 9. 15.答案是 C 。

1. Who might Freddy be?A. The speakers’ son.B. The speaker s’ pet.C. The speakers’ landlord.2. What is the woman doing? A. Making the bed. B. Fixing the chair. C. Driving to school.3. Why is the woman sad?A. She lost her homework.B. The man deleted her essay.C. She forgot to send some emails. 4. What does the man want to know? A. What time it is. B. When his train is supposed to leave.C. Where he can find the boarding hall.5. What does the boy still need to do?A. Hang up his clothes.B. Put away his toys.C. Sweep the floor.第二节 听下面5段对话或独白。

人大附中2017-2018学年下学期高二第一次月考英 语 试 卷注意事项：1．答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上，并将准考证号条形码粘贴在答题卡上的指定位置。

2．选择题的作答：每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，写在试题卷、草稿纸和答题卡上的非答题区域均无效。

3．非选择题的作答：用签字笔直接答在答题卡上对应的答题区域内。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

4．考试结束后，请将本试题卷和答题卡一并上交。

第Ⅰ卷第一部分 听力（共两节，满分 30 分）(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，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。

AThere once lived in China a very foolish king and queen. One day the queen had a baby daughter. When they saw their baby, they both cried out, “My goodness! How small it is! It’s hairless and toothless! It’s a monster!” they sent for all the doctors in the country and ordered them to prepare some medicine for her.“When she drinks your medicine, she must grow to the right size and have hair and teeth,” the king said, “If you don’t do this, you’ll have a beating.”The doctors thought it impossible, but they dared not say anything against the king’s order. Just then and old doctor stepped forward. “Oh, we shall certainly obey your order,” he said, “but i t takes time. We have to dig a mineral from the KunLun Mountains when the snow melts for the second time. The snow melts on those mountains only once in six years. So we need twelve years.”At last the king agreed and the doctors took away the little princess. On her twelfth birthday, they brought her back to her parents with long black hair and beautiful teeth. The king and queen此卷只装订不密封班级 姓名 准考证号 考场号 座位号were very happy and gave the doctors expensive presents.21. The doctors would be beaten if __________.A. the baby daughter did n’t drink their medicineB. they refused to obey the king’s orderC. the baby daughter grew to the right sizeD. the baby daughter became a monster22. The old doctor wanted to keep the king’s daughter for twelve years because ___________.A. they needed a lot of different plantsB. they need a lot of different mineralsC. this would give the baby time to grow upD. they had to dig a mineral the snow melted for the second time23. The doctors thought it impossible __________.A. for them to change the king’s orderB. for them to prepare the medicine in twelve yearsC. for the small baby to drink the medicineD. for them to make the baby have teeth and hair or grow teeth at once24. ______the king wouldn’t have given them expensive presents.A. Had the doctors not brought back a beautiful girlB. Had the doctors not found the mineralsC. Had the doctors not been able to prepare the magic medicineD. Were the daughter still a monster twelve years laterBA Spanish company Siesta&Go has opened the first public napping (小睡) space in Madrid. It promises people a quiet rest in the middle of the city’s business center.Napping spaces are nothing new; places to rest are already set up in other big cities in the world. But the idea would appear to work well with the culture of Spain, where people traditionally take an afternoon nap, called siesta.The Madrid nap space recently opened with 19 beds. People can use them by the minute or by the hour, and they can also choose either a private or shared room. An hour of napping inside a private room costs about $15.Siesta &Go provides all bedding, clean nightshirts and other materials. Nippers can request to be woken up when their time is up. It also offers areas to work, with armchairs, newspapers and coffee for those not wishing to sleep.Philip &Go is one happy customer. Marco says he gets tired during the day because of hard work. He says a siesta is the perfect way to build up energy. “I come for about 30 minutes or something like that. That is usually enough for me to be full of energy.”While many Spanish people love their naps, others like Carlos Villarroja say they are just too busy to keep the tradition. “It’s a Spanish tradition, but I think it’s more of a legend (传说) than a tradition. Because of the lifestyle and the working hours, we have very little free time for a siesta at least during the week.”But many health experts believe there is evidence that taking a short nap can be very good for the body and mind. Scientific studies show that taking a siesta can also prevent illness and lower blood pressure.25. What is not allowed for customers to do?A. Sleep for freeB. Choose a private roomC. Use it as an officeD. Share a room with others26. What does Philip Marco think of the Madrid nap space?A. Costly.B. Helpful.C. Comfortable.D. Convenient27. What’s Carlos Villarroja’s opinion on siestas?A. It is not necessary to take a nap.B. They can treat high blood pleasure.C. People have no time to take a nap.D. It’s not true that Spanish people like naps.CWhat are the biggest problems that society will have to deal with in the new age? There are diseases like AIDS and cancer. There’s climate change, of course. And what about producing e nough cheap food and energy for the world’s growing population? Who’s going to solve all these terrible problems? Yes, politicians and world leaders will have a big part to play. Yes, businesses will need to create the economic wealth to pay for some of th ese things. But who’s going to make a much greater difference to something like AIDS or climate change It’s going to be a scientist. It is the scientist who can turn some new bit of science into a new technology to solve these problems.If you like thinkin g about the world around you, why not become a scientist? It doesn’t meanyou have to wear a white coat and plastic glasses and spend all your time in a lab as most people often imagine! Scientists do all kinds of a amazing things that are actually interesting!Military scientists develop not only new weapons but new military technologies that could help make wars out of date. Forensic(法医的) scientists work with the police to find quite small clues to catch criminals. Scientists work in schools and colleges as the teachers and professors who will train tomorrow’s scientists. Don’t think a scientist is far away! Maybe you like cooking? You could be a food technologist helping to keep fruit and vegetables fresher for longer. Perhaps sport is your thing? Do you know that most top athletes work with sports scientists in order to improve their performance? You could even be the science writer who gets to spend the life studying the latest advances and sharing them with the world.Looking for something to do for the rest of your life? My advice? Take a long and hard look at science. It is interesting and ever.28. Many problems are mentioned in the first paragraph to ________.A. suggest they are impossible to be solvedB. introduce the causes of these problemsC. sh ow the writer’s worry about the future worldD. show scientists play an important part in solving them29. What is needed to solve these problems?A. Advanced weaponsB. Enough energyC. New technologiesD. A growing population30. Most people think the life of scientists is _______.A. amazingB. boringC. colorfulD. unreal31. Which of the following statement is NOT true according to the passage?A. Owing to military technologies, there has been no warsB. For those interested in cooking, food technologies may be a choiceC. Forensic scientists play an important part in dealing with crimesD. Most athletes can achieve greater achievement with the help of sports scientistsDWhy do so many tourists come to Easter Island? Because it has world-famous stone statues（雕像）. These statues, whose likenesses look like humans with huge stone cylinders (柱状物) balancing on their heads like hats, have tourists coming from all over the world. The tourists come to see these works of ancient art carved by the early inhabitants of the island. They come to see the mystery that has puzzled historians for decades（十年）.Easter Island is located in a remote part of the South Pacific Ocean about 2,300 miles west of Chile. Easter Island covers just 45 square miles and its Polynesian name is Rapa Nui.On Easter Sunday 1722, a Dutch explorer named Jacob Roggeveen was the first European to see Easter Island. The early Polynesians carved the statues within the holes of the volcano（火山）using only stone tools. Then they moved these huge statues to various destinations throughout the island. These 600 statues range in height from 10 to 40 feet. Some of them weigh as much as 50 tons. How could the early Polynesians lift hundreds of heavy statues out of the volcano? How did they move them across the island to their various locations? All of these questions, as well as many others, remain unanswered.The early islanders probably worshiped (崇拜) these eyeless giants until sometime around 1670. In 1680, a war broke out between two groups of islanders. The victors（胜利者）of the war and ancestors of the present inhabitants, broke down many of the statues. In most cases, they broke the necks of the statues.Now 15 of the statues on Easter Island have been repaired to their original positions on their stone platforms. Even today, using modern tools and machinery, putting up such large statues and balancing cylinders on top of their heads presents a challenging task.32. What do we know about Easter Island?A. It is a big island of Chile.B. It is located in North Pacific OceanC. Its early inhabitants were PolynesiansD. It was named after a Dutch explorer33. Scientists are still uncertain about __________．A. why people built the statuesB. how people transported the statuesC. where people made the statuesD. how many statues there are on the island34. What happened in 1680?A. The islanders started a war against outsidersB. Another 15 statues were put upC. People began to worship the statuesD. Many statues were damaged35. The purpose of the text is to __________．A. informB. advertiseC. entertainD. persuade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。

1北京四中2017-2018学年下学期高二年级第一次月考英 语 试 卷注意事项：1．答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上，并将准考证号条形码粘贴在答题卡上的指定位置。

2．选择题的作答：每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，写在试题卷、草稿纸和答题卡上的非答题区域均无效。

3．非选择题的作答：用签字笔直接答在答题卡上对应的答题区域内。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

4．考试结束后，请将本试题卷和答题卡一并上交。

第Ⅰ卷 第一部分 听力（共两节，满分 30 分）(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，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。

A（河南省林州市第一中学2017-2018学年高二12月月考）I set out to change the lives of those who need help by joining my school’s newly formed Free The Children Club. Th rough the determination offriends, the group has grown bigger and stronger each year. Over the past two years my friend, Alex Auclair,and I have become the leaders of the club.Already, after only two years of fundraising, we have accumulated over three thousand dollars andalmost two thousand food items through various fundraising efforts. For example, each year a 24-hourfamine (饥饿) is planned resulting in absolutely no consumption (消耗) of food. By taking part in these activities, we put ourselves in the shoes of someone living in poverty.No money raised goes to waste. At the end of each school year, the group takes a vote to determinewhere our funds will be spent and donated. Last year, we bought enough desks, chairs, supplies and textbooksfor every student in a Kenyan school. This year, we plan to spend our earning helping out families in Sierra Leone.Poverty is a worldwide issue affecting the lives of people in not only developing countries, but alsofirst-world countries such as Canada, the United Kingdom and Japan. Living in poverty can result in hunger, many forms of disease, lack of education, and for millions, death. It does not have to be this way. You too can form a club like the Free The Children Club or you can participate in events outside of school. Get your friends, family, even your community involved in fundraising. Do what you can to change the world. 21. An annual 24-hour famine is held to ________ A. help understand poor people better. B. draw people’s attention to the club. C. call on people not to waste food. D. save food for hungry people. 22. How to spend the raised money is based on the opinion of ________. A. the donators B. the fundraisers C. the club leaders D. the majority of the club members 23. Why does the author write the text? A. To introduce the Free The Children Club. B. To encourage people to change the world. C. To present the serious outcomes of poverty. D. To show how to help poor people live better. B （河北省邢台市2017-2018学年高二第四次月考）I went through a training program and became a literacy volunteer(扫盲志愿者)last summer. The training I received, though excellent, did not tell me how it was to work with a real student. When I began to discover what other people’s l ives were like because they could not read, I realized the true importance of reading. My first student Marie was a 44-year-old single mother of three. In the first lesson, I found out she walked two miles to the nearest supermarket twice a week because she didn't know which bus to take. When I told her I would get her a bus schedule, she told me it would not help because she could not read it. She said she also had difficulty once she got to the supermarket because she couldn't always remember what she needed. Since she did not know words, she could not write out a shopping list. Also, she could only recognize items by sight, so if the product had a different label(标识), she would not recognize it as the product she wanted.As we worked together, learning how to read built Marie's self-confidence, which encouraged her to 此卷只装订不密封班级姓名准考证号考场号座位号continue her studies. She began to make rapid progress and was even able to take the bus to the supermarket. After this successful trip, she reported how self-confident she felt. At the end of the program, she began helping her youngest son, Tony, a shy first grader, with his reading. As she described this experience, I was proud of myself as well. I found that helping Marie to build herself-confidence was more rewarding than anything I had ever done before.As a literacy volunteer, I learned a great deal about teaching and helping others. In fact, I may have learned more from the experience than Marie did.24. According to the text, Marie is a woman who ___________.A. has three sonsB. has good memoryC. has difficulty in writingD. has difficulty in walking around25. After getting help from the author, Marie felt ____________.A. shyB. proudC. confidentD. peaceful26. What did the author get through the program?A. Some beautiful presents.B. A sense of achievement.C. More confidence and knowledge.D. More ways to help others.27. What can be the best title for the text?A. A Woman Who Lacked Self-confidenceB. The Literacy Volunteer Changed Our LivesC. A Challenge during My V olunteering WorkD. The V olunteering Work Benefited Both of UsC（安徽省池州市东至二中2017-2018学年高二12月月考试题）Venom(毒液）from a local scorpion(蝎子）in Cuba is being used by Cuban scientists as an effective weapon to fight cancer. The venom, with stopping pain, anti-inflammatory (炎症）and anti-cancer properties, is the active ingredient in the medicine “Vidatox 30 CH which can be used to treat liver, brain, lung and other cancers. The treatment has been successfully used for more than four years in humans after being first tested in biological models. Labiofam, a Cuban laboratory, has breeding(繁殖)centers for both the Red Scorpion and Blue Scorpion. Each month, some 30,000 scorpions in Las Minas town, 270 km east of Havana are made to give the venom. After two years, the scorpions are released back into their natural habitat.Denyer Sanchez, a biologist from Labiofam, explained that the conditions are adjusted for reproduction, proved by the high number of breeding female scorpions. He said when the offspring(后代）becomes able to live in the environment, we release them because they do not have the necessary size yet to remove their venom, said Sanchez. Sanchez also said that there is still much to research on the exploitation process of scorpions, such as female death rate or the ability to survive of the released scorpions.Cuban research on the sc orpion’s venom began at the end of 1980s in Guantanamo province, the island’s eastern tip, where a group of biologists and doctors became interested in the stories told by the peasants about the venom's benefits. However，the first discovery was made by Cuban biologist Misael Bordier. In 2001, Bordier visited Mexico’s National Autonomous University (UNAM) and presented the research progress in a professional journal. Bordier died in 2005, one year before Cuba's Industrial Property Office gave Labiofam the rights to exploit the patent related to the venom.28. How are the scorpions dealt with after their venom has been taken for two years?A. Their bodies are used to make medicines.B. They are bred in the laboratory for research.C. They are raised to give birth to the offspring.D. They are set free into their natural habitat.29. What can we infer from the passage about the research on scorpions?A. The UN provided fund for the research team.B. There is still much to study in detail.C. The achievements will benefit animals.D. Many scientists doubt about the result of the research.30. What can we learn about Bordier in the last paragraph?A. He was given the rights to exploit the patent.B. He began his research at the beginning of the twenty-first century.C. He put forward the research progress in a professional journal.D. He was a peasant who told the stories about the venom’s benefits.31. What does this passage mainly talk about?A. The various uses of scorpions in Cuba.2B. Cuban biologists’ research on strange diseases.C. Suitable conditions for Cuban scorpions to breed.D. Cuban scorpion venom’s effect on fighting cancer.D（河南省南阳一中2017-2018学年高二第三次月考）Do you think you would work out more if you were offered money to do so? Science has shown that money can give people motivation to work out, but perhaps not in the way that you think.According to a study published in the Annals of Internal Medicine Journal, the best strategy isn’t offering money; it’s giving someone money, then threatening to take it away.Researchers gave 281 people the goal of walking 7,000 steps every day over 13 weeks.To motivate the people who took part to reach the goal, researchers divided them into three groups.People in the first group received $1,40(9 yuan) each day as long as they finished 7,000 steps, the second group was only able to collect the $1.40 if they had reached 7,000 steps the day before, and the third group was given $42 at the beginning of each month and $1.40 was taken away every time someone failed to meet the goal.The third group met their daily fitness goals 50 percent more often than the other two groups, showing that people were most motivated to walk by the fear of losing money.“People are more motivated by losses than gains, and they like immediate gratification.” study author Dr Mitesh Patel, an assistant professor at the University of Pennsylvania in the US, told CNN. “They want to be rewarded today, not next year or far into the future.”Our brains tend to avoid wanting to lose things more than they try to get the benefits from gaining them, Patel explained. “It makes people think like the money is theirs to lose from day one.”In addition, in most programs, many participants will drop out quickly and only the motivated will stay involved, Patel said.“In ours, we were pleasantly surprised that 96 percent stayed.” he added.The study provides evidence that what matters is not only the money incentive （激励）, but also how you think about them. This is important to how effective they are. The evidence could have a big effect on health promotion programs in the future, according to the study.“Incentives themselves are not all you need,” Stephanie Pronk, a health and wellness consultant with the Aonplc corporation, told Th e Wall Street Journal. “It’s really important to change up the incentive design and keep people on their toes.”32. Acording to Dr Mitesh Patel, the third group did better than the other two groups mostly because______.A. they were satisfied with being paid immediatelyB. they did not want the money they had gained to be taken awayC. they were able to get more money than the other two groupsD. they were given money at first while the others were not33. By mentioning other similar programs, Dr Mitesh Patel intended to______.A. prove that their program has been more successfulB. show that motivation mattered more in other programsC. stress that they didn’t expert the resultD. make a further comparison between these programs34. What can we infer from S tephanie Pronk’s words?A. Incentives are of little importance in the process of getting fit.B. Incentives and ways in which they are given are key to fitness programs.C. People should keep fit actively instead of being motivated by incentives.D. There are many ways to get people to feel motivated to work out more.35. We can learn from the study that for incentives to work______.A. more benefits than losses should be obvious for participantsB. direct profits should be given rather than long-term onesC. designers need to consider how people think about incentivesD. designers need to work out the right from of motivation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。

2017-2018学年下学期第一次月考高二夏考（英语）学科本试卷分卷一（选择题）和卷二（非选择题）两部分。

满分（ 150 ）分，考试时间（ 120 ）分钟。

本试卷分第Ⅰ卷和第Ⅱ卷两部分，共4页。

满分150分，考试结束后，将本试卷和答题卡一并交回。

注意事项：1．第Ⅰ卷每小题选出答案后，用2B 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，答案不能答在试卷上。

2．第Ⅱ卷必须用0.5毫米黑色签字笔作答。

答案必须写在答题卡各题目指定区域内相应的位置，不能写在试卷上；如需改动，先划掉原来的答案，然后再写上新的答案；不能使用涂改液、胶带纸、修正带。

不按以上要求作答的答案无效。

第一部分 听力（共两节，满分30分）第一节 (共5小题，每小题1.5分，满分7.5分)听下面5段对话，每段对话后有一个小题，从题中所给的A 、B 、C 三个选项中选出最佳选项，听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读小一小题，每段对话仅读一遍1.What is the man going to take to the party? A.A pizzaB.Some chocolateC.Some biscuits2.How much is the black MP4 player ? A. $215 B. $225 C.$2503. What are the speakers talking about? A.The taste of food B. The price of food C. Their favorite foods4. What does the woman mean? A. she doesn ’t like eating out.B. she always thinks it ’s expensive to eat out.C. She doesn ’t mind eating out when she is hungry. 5. What did the woman do this weekend? A. She played tennis. B. She saw the movies. C. She cleaned the house.第二节 （共15小题，每小题1.5分，满分22.5分）听下面5段对话或独白，每段对话或独白后有几个小题，从题中所给的A 、B 、C 三个选项中选出最佳选项。

2017~2018学年北京海淀区中国人民大学附属中学高二上学期期末英语试卷阅读理解1.（1）How did the write feel when she was walking home after work?A.B.C.D.（2）From the first paragraph, we learn that the write was busy .A.AThat cold January night, I was growing sick of my life in San Francisco. There I was, walking home at one in the morning after a tiring practice at the theatre. With opening night only a week ago, I was still learning my lines. I was having trouble dealing with my part-time job at the bank and my acting at night at the same time. As I walked, I thought seriously about giving up both acting and San Francisco. City life had become too much for me.As I walked down empty streets under tall buildings, I felt very small and cold. I began running, both to keep warm and to keep away from any possible robbers. Very few people were still out except a few sad-looking homeless people under blankets.About a block from my apartment, I heard a sound behind me. I turned quickly, half expecting to see someone with a knife or a gun. The street was empty. All I saw was a shining streetlight. Still, the noise had made me nervous, so I started to run faster. Not until I reached my apartment, building and unlocked the door did I realize what the noise had been. It had been my wallet falling to the sidewalk.Suddenly I wasn't cold or tired anymore. I ran out of the door and back to where I'd heard the noise.Although I searched the sidewalk anxiously for fifteen minutes, my wallet was nowhere to be found.Just as I was about to give up the search, I heard the garbage truck pull up to the sidewalk next to me. When a voice called from the inside, "Alisa Camacho?" I thought I was dreaming. How could this man know my name?The door opened, and out jumped a small red-haired man with an amused look in his eye. "Is this what you're looking for?" he asked, holding up a small square shape.It was nearly 3 A.M. by the time I got into bed. I wouldn't get much sleep that night, but I had gotten my wallet back. I also had gotten back some enjoyment of city life. I realized that the city couldn't be a bad place as long as people were willing to help each other.Cold and sick Fortunate and helpful Satisfied and cheerful Disappointed and helplesssolving her problem at the bankB.C.D.（3）On her way home the writer .A.B.C.D.（4）In the fifth paragraph, why did the writer say she was dreaming?A.B.C.D.（5）From the text, we can infer that the writer .A.B.C.D.taking part in various city activities learning acting in an evening school preparing for the first night showlost her wallet unknowinglywas stopped by a garbage truck driver was robbed of her wallet by an armed man found some homeless people following herSomeone offered to take her back home.A red-haired man came to see her.She heard someone call her name.Her wallet was found in a garbage truck.would stop working at night would stay on in San Francisco would make friends with cleaners would give up her job at the bank2.B Wilderness"In wilderness（荒野）is the preservation of the world." This is a famous saying from a writer regarded as one of the fathers of environmentalism. The frequency with which it is borrowed mirrors a heated debate on environmental protection: whether to place wilderness at the heart of what is to be preserved.As John Sauven of Greenpeace UK points out, there is a strong appeal in images of the wild, the untouched;more than anything else, they speak of the nature that many people value most dearly. The urge to leave the subject of such images untouched is strong, and the danger exploitation brings to such landscapes is real. Some of these wildernesses also perform functions that humans need - the rainforests, for example, store carbon in vast quantities. To Mr. Sauven, these "ecosystem services" far outweigh the gains from exploitation.Lee Lane, a visiting fellow at the Hudson Institute takes the opposing view. He acknowledges that wildernesses do provide useful services, such as water conservation. But that is not, he argues, a reason to avoid all human presence, or indeed commercial and industrial exploitation. There are ever more people on the Earth,and they reasonably and rightfully want to have better lives, rather than merely struggle for survival. White the ways of using resources have improved, there is still a growing need for raw materials, and some wildernesses contain them in abundance. If they can be tapped without reducing the services those wildernesses provide, the（1）John Sauven holds that .A.B.C.D.（2）What is the main idea of Para.3?A.B.C.D.（3）What is the author's attitude towards this debate?A.B.C.D.（4）Which of the following shows the structure of the passage?CP: Central Point P: Point Sp: Sub-point（次要点）C: ConclusionA.B.C.argument goes, there is no further reason not to do so. Being untouched is not, in itself, a characteristic worth valuing above all others.I look forwards to seeing these views taken further, and to their being challenged by the other participants.One challenge that suggests itself to me is that both cases need to take on the question of spiritual value a little more directly. And there is a practical question as to whether wildernesses can be exploited without harm.This is a topic that calls for not only free expression of feelings, but also the guidance of reason. What position wilderness should enjoy in the preservation of the world obviously deserves much more serious thinking.many people value nature too much exploitation of wildernesses is harmful wildernesses provide humans with necessities the urge to develop the ecosystem services is strongThe exploitation is necessary for the poor people.Wildernesses cannot guarantee better use of raw materials.Useful services of wildernesses are not the reason for no exploitation.All the characteristics concerning the exploitation should be treated equally.Objective.Disapproving.Sceptical.Optimistic.D.3.（1）According to the passage, a metaphor is a .A.B.C.D.（2）As is meant by the author, thorns of a rose .A.B.C.D.CA metaphor is a poetic device that deals with comparison. It compares similar qualities of two dissimilar objects. With a simple metaphor, one object becomes the other: Love is a rose. Although this does not sound like a particularly rich image, a metaphor can communicate so much about a particular image that poets use them more than any other type of figurative language. The reason for this is that poets compose their poetry to express what they are experiencing emotionally at that moment. Consequently, what the poet imagines love to be may or may not be our understanding of love. Therefore, the poet's job is to enable us to experience it, to feel it the same way as the poet does.Let's analyze this remarkably simple metaphor concerning love and the rose to see what it offers. Because the poet uses a comparison with a rose, first we must examine the characteristics of that flower. A rose is impressive in its beauty, its petals（花辧）are nicely soft, and its smell is pleasing. It's possible to say that a rose is actually a feast to the senses of sight, touch, and smell. The rose's appearance seems to border on perfection,each petal seemingly equal in form. Isn't this the way one's love should be? A loved one should be a delight to one's senses and seem perfect.However, there is another dimension added to the comparison by using a rose. Roses have thorns. The poet wants to convey the idea that roses can be tricky. So can love, the metaphor tells us. When one reaches out with absolute trust to touch the object of his or her affection, ouch, a thorn can cause great harm! "Be careful," the metaphor warns, "Love is a feast to the senses, but it can overwhelm us, and it can also hurt us and cause acute suffering." This is the poet's understanding of love---an admonition（劝诚）. What is the point? Just this: It took almost 14 sentences to clarify what a simple metaphor communicates in only four words! That is the artistry and the joy of the simple metaphor.description of two similar objects in a poetic way literary device specially employed in poetry writingcontrast between two different things to create a vivid image comparison between two different objects with similar featuresadd a new element to the image of love protect the rose from harm symbolize reduced love cause acute suffering（3）It can be inferred from the passage that a metaphor is .A.B.C.D.（4）The main idea of this passage is that .A.B.C.D.difficult to understand rich in meaning simple to use perfect in formlove is a rose in metaphor a rose is a good image in poetry a metaphor is a great poetic device a poet should be careful to use a metaphor4.D①Brain-injured boy set for £1.75m payoutA YOUNGSTER who was knocked off his tricycle by a taxi and left with a serious brain injury is set to be awarded £1.75 million.Fourteen-years-old George Currie, from Dalkeith, was living in County Durham with his parents Allister and Paula at the time of the accident in September 1993.George, who was then three years old, was riding his small tricycle along the pavement when he lost control and swerved on to the road into the path of an on-coming taxi.The driver's insurance company has now accepted responsibility for the accident and New Castle Court is expected to rule on the payout on Monday.TOP 10Florida counties with the most accidents in 2004:1．Monroe (98)2．Palm Beach (65)3．Pinellas (64)4．Broward (59)5．Miami-Dade (54)6．Okaloosa (34)7．Orange (24)8．Bay (22)9．Lee (21)10．Collier (21)②Boating accidents reduceLee and Collier counties tied at No. 10 for boating accidents in Florida in 2004, an improvement for both.完形填空（1）What does Passage ① tell us about the boy?A.B.C.D.（2）What can we learn about Lee and Collier counties from Passage ②?A.B.C.D.（3）Which passage would give more information on the prevention of road accidents?A.B.C.D.But because the counties remained in the top 10 among Florida's 67 counties, safety continues to be a concern, officials said.③Teens react to new law on driving permitLawmakers may hope to make teenage drivers drive more safely, but some local teens behind the wheel feel angry following the passing of Senate Bill 36 last week.SB 36 is a law that limits times new teen drivers can drive and the number of passengers they can carry.④Road accidents take costly tollTraffic accidents kill more than one million people each year, injure tens of millions more and cost developing countries twice as much as they receive in international aid, the leader of a research body said Wednesday.The figures have led experts to form an international road safety network to choose the most important research areas, inform policy makers and help develop ways to prevent accidents, particularly in poor nations.pavement: 人行道swerve: 突然转向insurance: 保险He was injured in the head when he was 14.He has waited for the payout for a long time.He has lived the same place since the accident.He was run over by a taxi when riding on the pavement.They both became safe places.They won the same place in a race.They had the same number of accidents.They joined hands in reducing accidents.①②③④5.A Different ViewAt age 14, 15 and 16, the way we looked was the most important thing in the world to us. My friends and I wanted nothing less than perfection.In high school, we joined the gymnastics team, and our 1 became even more important to us. We had no fat, only muscle. On the weekends, we would go tothe beach, 2 of our flat stomachs.One summer day, all my friends were at my house 3 . At onepoint, Iwas running back to the pool.I 4 on a bee, and while it was dying under my foot, it stung（蛰）me. I instantly started to feel 5 .That night, I began to run a high fever and my leg and foot were red, hot and swollen. I couldn't walk. I could barely 6 .When my foot started to go numb, everyone became more 7 .My foot was not getting enough blood.I had to go to the 8 , and myleg hurt as if it were badly broken. I couldn't move. All I could do was think about how soft my middle was becoming. That 9 me more thanany concern over my leg.That would all 10 when I heard the doctors mention possiblycuttingoff my foot. It was still not getting the 11 supply it needed. The doctorswould have to speed up their treatment.Never before did I have such great 12 for my foot. And walking seemed like a 13 from the gods.Less and less would I want to hearmy friends talk about 14 and who was wearing what. More and moreI expected visits from other kids in the hospital, who were quickly becoming my friends.One girl came to visit me 15 . Every time she came, she brought flowers. She was recovering from cancer and felt she should come back and 16 the other patients.She still had no hair, and she was swollen from medications she had beentaking.I would not have given this girl a second 17 before. I now loved every inch of her and looked forward to her 18 .Finally, I was improving and soon I went home. My leg was still swollen,19I was walking, and I had my foot! When I would go back to the hospital, I often saw my friend. She was still visiting people and 20 good cheer. I thought if even there was an angel on this earth, it had to be her.1. A.grades B.brains C.bodies D.clothes2. A.ashamed B.proud C.sure D.tired3. A.dancing B.chatting C.jogging D.swimming4. A.stepped B.focused C.held D.took5. A.upset B.fearful C.sick D.anxious6. A.jump B.run C.stand D.rest7. A.concerned B.relieved C.surprised D.interested8. A.beach B.hospital C.gym D.school9. A.blamed B.impressed C.shocked D.troubled10. A.change B.bother C.help D.happen11. A.nutrition B.blood C.time D.air12. A.observation B.devotion C.appreciation D.evaluation13. A.gift B.hand C.promise D.treat14. A.homework B.appointment C.movies D.gymnastics15. A.suddenly B.regularly C.eventually D.recently任务型阅读16. A.advise B.encourage C.serve D.instruct 17. A.choice B.thought C.glance D.chance 18. A.words B.ideas C.flowers D.visits 19. A.but B.then C.soD.for 20. A.enjoyingB.gainingC.discoveringD.spreading6.（1）He's too to appreciate the deep feelings in the play.A.B.C.D.（2）There is no arguing with him; he is too to listen to anyone else.A.B.C.D.（3）His behavior has been with his role as head of state.A.B.C.D.（4）The children's excitement is as the Spring Festival gets nearer.A.B.C.D.（5）The company is for paying its bills late.A.B.C.D.（6）Government newspapers wrote chillingly about how certain players had been 'retired' in punishmentfor their .文学阅读《虎妈战歌》检测alluring superficial prominent vulnerableshabby opinionated perceptive bleary-eyedindelible irresistible invisible incompatiblemounting hunkering skipping intriguingprestigious reluctant blase notoriousA.B.C.D.（7）He was apologetic about the mistake, so I had to forgive him.A.B.C.D.（8）As an excellent gymnast, he hopes one day to the world record.A.B.C.D.（9）Guests the cleanliness, the relaxed atmosphere and the friendly staff. Many have alreadyreturned more than once.A.B.C.D.（10）The advancement of modern technology also makes people more by reducing face-to-facecontact with friends.A.B.C.D.（11）What is Amy's reaction to the birthday cards prepared by her daughters in the restaurant?A.B.C.D.（12）Amy wants to cash in her pension funds to .A.B.C.D.insubordination agility resilience nuancedauntingly profusely alluringly ferociouslywield surpass perceive inductshow off jack up rave about snap atapathetic pathetic sympathetic empatheticShe's gratified with her daughters' consideration.She complains to Jed about her daughters' ungratefulness.She lashes out at her daughters and stamped out of the restaurant.She is disappointed and asked for better ones with more thoughts.buy a great violin for Lulupay tuition fee for Lulu to learn with Kiwon pay for expenses for Popo's medical expenses make up for the travelling expense to Chautauqua语法填空选词填空（13）To bring balance to the family, Jed .A.B.C.D.（14）What did Lulu deliberately do to express her resistance?A.B.C.D.（15）What does Jed think of Lulu's auditioning for the Pre-college program at the Juilliard School?A.B.C.D.organizes a garage sale reads the girls science fictionmakes them go on family biking trips teaches the girls how to play poker and poolShe played out of tune or with no emotion.She performed badly at school and failed the exams.She argued loudly with Amy on the street, or in stores.She refused to give a toast at Jed's fiftieth birthday party.It will help Lulu get into an Ivy League College.Lulu can realize her dream as a professional musician.Lulu's auditioning could bring glory to the whole family.The pressure-cooker atmosphere might not be good for Lulu.7.About ten years ago when I was an undergraduate in college, I was working as an intern at my University Museum of Natural History. One day while working at the cash register in the gift shop, I saw 1 elderly couple come in with a little girl in a wheelchair.As I looked 2 (close) at this girl, I found that she was fixed on her chair. I then realized she had no arms or legs, just a head, neck, and upper body, 3 (dress) in a little white dress with red polka dots.As the couple wheeled her up to me, I turned my head toward the girl. As I took the money from her grandparents, I looked back 4 the girl, who was giving me the largest smile I have ever seen. All of a sudden, her handicap was gone and all I saw was this beautiful girl, 5 smile just melted me 6 almost instantly gave me a completely new sense of 7 life is all about. She took me from a poor, unhappy college student and 8 (bring) me into her world: a world of smile, love and 9 (warm). I'm a successful businessman now and whenever I think about the troubles of the world, I think about that little girl and the remarkable lesson about life 10 she taught me.8.When the strict rules Amy Chua established early on her two daughters come into view, people are 1 immediately. Amy believes parents should 2 the sky and it is the children's job to obey the rules regardless of what their parents might set for them.完成句子A.B.C.D.E.F.G.Amy's confidence in her parenting comes from her parents. Though she and her sisters seldom had time to play round and had to 3 the dos and don'ts from her parents, they 4 doing very well in life.Amy's parenting worked perfectly with Sophia, but she got into trouble with her second daughter Lulu 5 . When the daughters were little, they really counted on Amy for guidance. As time went on, it just got more and more difficult to make Lulu 6 practicing the violin. Amy constantly 7 Lulu, which only resulted in Lulu's stronger rebellion. Amy's husband, Jed would intervene privately from time to time, caution Amy about her parenting style, which Amy just couldn't 8 before it was too late.In the end after a complete face-off, Amy realized she had to listen to Lulu, or her whole family might 9 . She allowed Lulu to 10 playing tennis although it broke her her to see Lulu wasted her musical talent. But for what it is worth, Amy won back her family with two gorgeous daughters thriving.end uphold upname afterin a wayknock overturn awaygo in for9.（1）It was after （貌似过了很长时间）that the parade started.（2）So excited were we that my parents and I couldn't help _________________________ （鼓掌欢呼）for ourpowerful country.（3）____________________（让我吃惊的是）, WeChat was already flooded with numerous pictures andcomments（4）The parade _________________________ （让我们牢记）the importance of peace.（5）In addition, I _________________________ （再次发现魅力）of Chinese culture.（6）In the picture, the elderly man smiled, _________________________ （竖着大拇哥）.（7）The day started to go wrong _________________________ （一……就……）I left home.（8）Last weekend, Tom and I paid a visit to the Summer Palace, which _________________________ （原来不虚此行）.（9）_________________________ （旁边的长椅上坐着）an old man with an umbrella beside him.（10）The woman _________________________ （感到非常欣慰）when she got back her bag.（11）The story you have made up doesn't _________________________ （无意义）to me.（12）We will _________________________ （支持你；力挺）to the end even if you fail.完成句子（13）He will _________________________ （遇上麻烦）unless he changes his mind.（14）This particularly thrilling concert _________________________ （留下深刻印象）on him who made up his mind to pursue his career in music.（15）_________________________ （一点儿也不吃惊）that I was last in the competition.（16）To improve your English in an all-round way, you _________________________ （应该）get as much exposure to English as possible.（17）I shall _________________________ （迎接挑战）and work extra hard.（18）I'm writing to _________________________ （申请职位）as the English host for the 50th anniversary of our school.（19）I _________________________ （有良好的水平）of English, enabling me to talk freely with native speakers.（20）In contemporary society, culture _________________________ （仍然是重要部分）in determining our ideas of beauty.（21）It lakes _________________________ （不止随意的—瞥）to appreciate and it is much more important than physical beauty.（22）It is the forms of the people who _________________________ （遭遇，陷入）the disaster that have made the city a monument to human history.（23）He _________________________ （试图，尝试）to eat it, but it is clear from the look on his face that he finds the taste truly disgusting.书法展示10.书法展示When someone looks into your eyes they should see something alive within you. Having a dream is like owning a lighthouse which directs you on your journey.At every turn we come across its mystery. At each new level we become more of the person we were meant to become. In lonely times, when we pass through a storm of disappointment, we find our faith is unshaken, our strength still strong.书面表达11.假设你是红星中学高三（1）班的学生李华。

2017-2018学年第一学期第二次考试高二年级英语试题【说明】1、考试时间为120分钟，满分150分。

2、做选择题时，请将答案涂到答题卡相应位置；其它题目的答案写在答题卷指定的位置上，写在试题卷上一律无效。

3、交卷时，只交回答题卷，试卷由考生带回。

一、听力理解（每小题1分，共15小题，满分15分）每段录音播放两遍。

各段后有几个小题，各段播放前每小题有5秒钟的阅题时间。

请根据各段播放内容及其相关小题，在5秒钟内从题中所给的A、B、C项中，选出最佳选项，并在答题卡上将该项涂黑。

Conversation 11. Where does the conversation most probably take place?A. In the street.B. In a taxi.C. On a bus.2. How long will the woman walk?A. About five minutes.B. About ten minutes.C. About fifteen minutes.Conversation 23. How much should the woman pay?A. 30 dollars.B. 25dollars.C. 20 dollars.4. Where is the woman most probably taking the child to?A. A theme park.B. A zoo.C. A cinema.Conversation 35. What is Martin doing in Toronto?A. Going on a business tripB. Taking part in a reunionC. Visiting a former classmate6. How long will Martin stay in Toronto?A. A week.B. Three daysC. Ten daysConversation 47. What day is it today?A. Wednesday.B. ThursdayC. Friday8. What does the girl want to do?A. Go to a friend’s party.B. Design a party for a friend.C. Celebrate her birthday with her friends.9. What does the girl promise to do?A. Help with the cleaning after the party.B. Clean the house before the party.C. Go to buy some food.Conversation 510. How old is the woman’s son now?A. 10B. 16C. 2211. Why does the woman want to sell the house?A. Because she needs money for her son’s college fees.B. Because her family is moving to another country.C. Because she has bought a better house nearby.12. What does the man decide to do?A. Buy a cheaper house.B. Buy the house at once.C. Ask his wife to have a look.Conversation 613. Why does the man visit the girl’s home?A. To explain why he didn’t answer the phone.B. To talk about some matters with the girl’s fatherC. To ask the girl about her college studies.14. What did May probably major in at college?A. LawB. ComputerC. Medicine15. When will the girl’s mother come back home?A. At about 9:00 am.B. At about 8:30 am.C. At about 9:00 pm.二、单项选择（每小题1分，共10小题，满分10分）从A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题纸上将该选项标号涂黑。

人大附中2017-2018学年下学期高二年级第一次月考卷理科数学注意事项：1．答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上，并将准考证号条形码粘贴在答题卡上的指定位置。

2．选择题的作答：每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，写在试题卷、草稿纸和答题卡上的非答题区域均无效。

3．非选择题的作答：用签字笔直接答在答题卡上对应的答题区域内。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

4．考试结束后，请将本试题卷和答题卡一并上交。

第Ⅰ卷一、选择题：本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项是符合题目要求的．1．[2018·承德期末]函数()f x x =从1到4的平均变化率为（ ）A ．13B ．12C ．1D ．32．[2018·萧山一中]设()ln f x x x =，若()02f x '=，则0x 等于（ ） A ．2eB ．eC ．ln22D ．ln23．[2018·滁州期末]曲线()()1e x f x x =+在点()()00f ，处的切线方程为（ ） A ．1y x =+B ．21y x =+C ．112y x =+ D ．113y x =+ 4．[2018·武威十八中]已知函数()f x 的导函数为()f x '，且满足()()21ln f x xf x +'=，则()1f '=（ ） A ．e − B ．1 C ．−1 D ．e此卷只装订不密封级 姓名 准考证号 考场号 座位号5．[2018·新余期末]下列求导运算正确的是（ ）A ．2331x x x '⎛⎫+=+ ⎪⎝⎭B ．()21log ln 2x x '=C ．()3og e 33l x x '=D ．()2cos 2sin x x x x '=−6．[2018·咸阳期末]函数()y f x =的导函数()y f x ='的图象如图所示，则函数()y f x =的图像可能是（ ）A ．B ．C ．D ．7．[2018·曲周一中]计算()22042x x dx −−=⎰（ ）A ．2π4−B ．π4−C ．ln 24−D ．ln 22−8．[2018·眉山期末]直线3y x =与曲线2y x =围成图形的面积为（ ） A ．272B ．9C ．92D ．2749．[2018·曲靖一中]若函数()32f x x ax a =−+在()0,1内无极值，则实数a 的取值范围是（ ）A ．30,2⎡⎤⎢⎥⎣⎦B ．(),0−∞C ．3,2⎡⎫+∞⎪⎢⎣⎭D ．(]3,0,2⎡⎫−∞+∞⎪⎢⎣⎭10．[2018·南昌十中]设函数()22e 1x f x x +=，()2e e x xg x =，对1x ∀，()20,x ∈+∞，不等式()()12g x kf x ≤恒成立，则正数k 的取值范围为（ ） A ．[)1,+∞ B ．[)2,+∞C ．1,2⎡⎫+∞⎪⎢⎣⎭D ．1,e ⎡⎫+∞⎪⎢⎣⎭11．[2018·商丘九校]已知函数()f x 是定义在R 上的奇函数，()20f =，当0x >时，有()()20xf x f x x−>'成立，则不等式()20x f x >的解集是（ ）A ．()()2,02,−+∞B ．()()2,00,2−C ．()2,+∞D ．()(),22,−∞−+∞12．[2018·成都外国语]m 使得不等式()22f m n n −≤成立，求实数n 的取值范围为（ ）A [)0,⎤+∞⎥⎦B ]1,2⎡⎫+∞⎪⎢⎣⎭C ]1,2⎡⎫+∞⎪⎢⎣⎭D [)1,⎤+∞⎥⎦第Ⅱ卷二、填空题：本大题共4小题，每小题5分．13．[2018·枣强中学]设()2lg ,03,0a x x f x x t dt x >⎧⎪=⎨+⎪⎩⎰≤，若()11f f ⎡⎤=⎣⎦，则实数a =__________．14．[2018·承德期末]20x y −=的切线，则a 的取值范围为__________．15．[2018·天水一中]已知某生产厂家的年利润y （单位：万元）与年产量x （单润的年产量为__________万件．16．[2018·曲靖一中]已知()1sin cos f x x x =+，()()21f x f x ='，()()32f x f x ='，…，()()1n n f x f x −'=，…，（*n ∈N ，2n ≥）______．三、解答题：解答应写出文字说明、证明过程或演算步骤． 17．[2018·巴市一中]求下列函数的导数． （1）32log y x x =+； （2）22(2)(31)y x x =−+；（3）2ln xy x =； （4）23(21)x y x =+．18．[2018·南康中学]已知曲线31433y x =+．（1）求曲线在点()2,4P 处的切线方程； （2）求过点()2,4P 的曲线的切线方程．19．[2018·天津期末]已知曲线21:2C y x =与22:12C y x =在第一象限内交点为P ．（1）求过点P 且与曲线2C 相切的直线方程；（2）求两条曲线所围图形（如图所示阴影部分）的面积S ．20．[2018·钦州期末]已知函数()()223125f x x x x =−−+． （1）求曲线()y f x =在点1x =处的切线方程； （2）求函数()y f x =在区间[]0,3的最大值和最小值．21．[2018·海淀期末]设函数()32f x x ax bx c =+++满足()04f '=，()20f '−=． （1）求a ，b 的值及曲线()y f x =在点()()0,0f 处的切线方程． （2）若函数()f x 有三个不同的零点，求c 的取值范围．22．[2018·滨州期末]（1）当32a =时，求函数()f x 的单调区间； （2）若对任意的[)1,x ∈+∞，不等式()10f x +>恒成立，求实数a 的取值范围．理科数学答案第Ⅰ卷一、选择题：本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项是符合题目要求的． 1．【答案】A【解析】1413=−，故选A ． 2．【答案】B【解析】()ln 1f x x '=+，则0ln 12x +=，0e x =．故选B ． 3．【答案】B 【解析】()()()1e 2e x x f x x x '⎡'⎤=+=+⎣⎦，()()0002e 2f ∴=+='，()()0001e 1f =+=，曲线()()1e x f x x =+在点()()00f ，处的切线方程为()120y x −=−，即21y x =+．故选B ． 4．【答案】C【解析】因为()()121f x f x''=+，所以()()1211f f ''=+，()11f '=−，选C ． 5．【答案】B【解析】AB C ，()33ln 3x x '=⋅，故错误；D ，()22cos 2cos sin x x x x x x '=−，故错误．故选B ． 6．【答案】D【解析】由当()0f x '<时，函数()f x 单调递减，当()0f x '>时，函数()f x 单调递增，则由导函数()y f x ='的图象可知：()f x 先单调递减，再单调递增，然后单调递减，最后单调递增，排除A 、C ，且第二个拐点（即函数的极大值点）在x 轴上的右侧，故排除B ，故选D ． 7．【答案】B【解析】[]0,2x ∈的面积，即半径为2的圆的14，B ．8．【答案】C【解析】由直线3y x =与曲线2y x =，解得00x y =⎧⎨=⎩或33x y =⎧⎨=⎩，所以直线3y x =与曲线2y x =的交点为()0,0O 和()3,3A ，因此，直线3y x =与曲线2y x =所围成的C ．9．【答案】D【解析】∵()32f x x ax a =−+，∴()232f x x a '=−，∵函数()32f x x ax a =−+在()0,1内无极值，∴()232f x x a '=−在()0,1内无实数根，∵01x <<，∴223232a x a a −<−<−，∴20a −≥或320a −≤，∴0a ≤或D ．10．【答案】C()g x 在()0,1单调递增，()1,+∞单调递减，所以()()max 1e g x g ==，所以()f x单调递减调递增，所以，所以()e 2e k ⋅≤，所以C ．11．【答案】A 【解析】()()()20(0)xf x f x g x x x−∴=>>''，()20g =，()g x 为偶函数，所以()g x 在(),0−∞上单调递减，()()2300x f x x g x >⇒>()()()()000202x x g x g g x g ><⎧⎧⎪⎪⇒⎨⎨>=<=−⎪⎪⎩⎩或220x x ⇒>−<<或，选A ． 12．【答案】D【解析】1x =时，()()()1101f f f ''=+−，则()01f =，则()1e f '=，则()e 1x f x x '=+−，令()0f x '=，解得0x =，当()0f x '>，解得0x >，当()0f x '<，解得0x <，所以当0x =时，取极小值，极小值为()01f =，()f x ∴的最小值为1，由()22f m n n −≤，则()2min 21n n f x −=≥，则2210n n −−≥，解得1n ≥或n [)1,⎤+∞⎥⎦，故选D ．第Ⅱ卷二、填空题：本大题共4小题，每小题5分． 13．【答案】1【解析】由分段函数可得()1lg10f ==，当0x ≤时，，∵()11f f ⎡⎤=⎣⎦，∴()01f =，即31a =，解得1a =，故答案为1． 14．【答案】[]4,0−【解析】有解，所以有解，得222a −−−≤≤，得a 的取值范围为[]4,0−．15．【答案】9【解析】由31812343y x x =−+−得281y x '=−+，由2810x −+=得19x =−（舍去），29x =，当()0,9x ∈时，0y '>，函数31812343y x x =−+−为增函数，当()9x ∈+∞，时，0y '<，函数31812343y x x =−+−为减函数，所以当9x =时，函数有最大值为3198192342523−⨯+⨯−=（万元），∴使该生产厂家获取最大年利润的年产量为9万件． 16．【答案】0【解析】()2cos sin f x x x =−，()3sin cos f x x x =−−，()4cos sin f x x x =−+，()5sin cos f x x x =+，…，()()4n n f x f x −=，所以函数()n f x 的周期是4，且，所以0． 三、解答题：解答应写出文字说明、证明过程或演算步骤．17．【答案】（1（2）3236902620y x x x '=−++； （3）2ln 22ln xxy x x'=⋅+；（4）24102(21)x xy x +'=+． 【解析】（1）因为32log y x x =+，所以2113ln 2y x x'=+；··········2分 （2）因为()()()2222231352y x x x x =−+=−−，所以3236902620y x x x '=−++；···5分 （3）因为2ln xy x =，所以2ln 22ln '=⋅+xxy x x；··········7分（4）因为23(21)x y x =+，所以3222642(21)3(21)222(21)(21)x x x x x xy x x +−+⨯−+'==++．····10分18．【答案】（1）440x y −−=；（2）20x y −+=或440x y −−=．【解析】（1）2y x '=，∴在点()2,4P ····2分∴曲线在点()2,4P 处的切线方程为()442y x −=−，即440x y −−=．····4分 （2）设曲线31433y x =+与过点()2,4P 的切线相切于点30014,33A x x ⎛⎫+ ⎪⎝⎭，∴切线方程为()320001433y x x x x ⎛⎫−+=− ⎪⎝⎭，即23002433y x x x =⋅−+．点()2,4P 在切线上，2300244233x x ∴=−+，即3200340x x −+=， 322000440x x x ∴+−+=，即()()()2000014110x x x x +−+−=，解得01x =−或02x =， 故所求的切线方程为20x y −+=或440x y −−=．··········12分 19．【答案】略【解析】解：（1）22212y x y x ⎧=⎪⎨=⎪⎩，22x y =⎧∴⎨=⎩，()2,2P ∴，22122x k x ='⎛⎫ ⎪⎝⎭==，∴所求切线方程为：220x y −−=；··········6分 （2）解法1：()322232200011142||2363x dx x x −=−=⎰⎰．··········12分 解法2：算y x =与212y x =围出的面积，再利用对称性可求解． 20．【答案】（1）1240x y +−=；（2）()max 5f x =，()min 15f x =−． 【解析】（1）将1x =代入函数解析式得8y =−，由()()223125f x x x x =−−+得()26612f x x x =−−'，()112f '=−，所以函数在1x =处的切线方程为()8121y x +=−−，即1240x y +−=；····6分 （2）由（1）得()()()26612621f x x x x x =−−=−+'， 由()0f x '=，得2x =，或1x =−．因为[]0,3x ∈，()05f =，()215f =−，()34f =− 所以，()max 5f x =，()min 15f x =−．··········12分21．【答案】（1）4y x c =+．（2）32027c <<． 【解析】（1）∵()232f x x ax b =++'，依题意()()0421240f b f a b ⎧==⎪⎨−=−+=''⎪⎩，∴4b =，4a =，··········3分()2384f x x x '=++，()3244f x x x x c =+++，∴()04k f ='=，()0f c =， ∴切点坐标为()0,c ，∴切线方程4y x c =+．··········5分（2）∵()()()232f x x x =++'且x ∈R ，令()0f x '=，∴12x =−，223x =−，··········7分∴()2f c −=，232327f c ⎛⎫−=−+ ⎪⎝⎭，··········10分 若()f x 有2个不同零点，则()20f c −=>，2320327f c ⎛⎫−=−+< ⎪⎝⎭， ∴32027c <<．··········12分 22．【答案】（1）函数()f x 的单调递减区间是()1,3−，单调递增区间是(),1−∞−，()3,+∞；（2）实数a 的取值范围是1e ,2−⎛⎫+∞ ⎪⎝⎭． 【解析】（1）当32a =时，()23e x x f x −=，()()()2222e 3e 23e e x x x xx x x x f x '−−−−−==，····2分由()0f x '<，解得13x −<<，故函数()f x 在区间()1,3−上单调递减；由()0f x '>，解得1x <−或3x >，故函数()f x 在区间(),1−∞−，()3,+∞上单调递增，所以函数()f x 的单调递减区间是()1,3−，单调递增区间是(),1−∞−，()3,+∞；····4分（2）不等式()10f x +>[)1,x ∈+∞，不等式()10f x +>恒成立， 可转化为不等式22e x a x >−在[)1,x ∈+∞上恒成立，··········5分 令()2e x g x x =−，()()2e x h x g x x ==−'，··········6分 所以()2e x h x '=−，当[)1,x ∈+∞时，()2e 2e 0x h x −'=−<≤， 所以()()2e x h x g x x ==−'在[)1,+∞上单调递减， 所以()2e 2e 0x h x x =−−<≤，即()0g x '<， 故()2e x g x x =−在[)1,+∞上单调递减，··········9分 则()()2e 11e x g x x g =−=−≤，故不等式()10f x +>恒成立，只需()max 21e a g x >=−，即所以实数a ··········12分。