湖南师大附中2016-2017学年高一上学期期末考试英语试题

2016-2017学年高一下学期期末考试英语试题本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分满分150分，考试用时120分钟。

第I 卷（共两部分，满分100分）第一部分听力（共两节，满分30分）第一节（共五小题；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，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。

1. What does the man think the woman should do?A. Make the dress shorter.B. Get her money back.C. Exchange the dress for another color.2. What will the woman do tomorrow?A. Learn English at home.B. Check her exam result.C. Take an exam.3. Where does the man want to go?A. A hospital.B. A supermarket.C. A hotel.4. What will the woman do on the Internet?A. Buy Shelly a birthday present.B. Find some games to play.C. Chat with some friends.5. Which salad does the man probably want?A. Steak salad.B. Chicken salad.C. Fruit salad.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，并标在试卷的相应位置。

湖南师大附中2017－2018学年度高一第二学期期末考试英语命题人：蔡茜王心怡朱蔚雍琼甘舒展刘雄昆时量：120分钟满分：150分得分____________第一部分听力技能(共两节，满分30分)做题时，先将答案标在试题卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

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下一小题。

每段对话仅读一遍。

例：How much is the shirt?A. ￡19.15B. ￡9.18C. ￡9.15答案是C。

1. Why has the woman been trying to call David?A. To see if he is busy.B. To cancel an appointment.C. To invite him to watch a film.2. How did the man use to go to work?A. On foot.B. By car.C. By bus.3. Where do most of the woman's current earnings come from?A. Her recordings.B. Her advertising work.C. Her concert performance.4. What does the man mean?A. He has known the results.B. He will tell the woman the results.C. He thinks the results will make the woman unhappy.5. What will the man do next year?A. Look for a part­time job.B. Attend a marketing course.C. Continue to work in the company.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。

第Ⅰ卷第一部分听力（共两节，满分30分）第一节（共5小题，每小题1分，满分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。

并标在试卷的相应位置。

听完这段对话后，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。

1.What time did the concert start last night?A.At 8:00.B.At 8:15.C.At 8:30.2.Why did the man get a ticket?A.He drove too fast.B.He ran the red light.C.He madea wrong turn.3.What does the man imply?A.He got wet in the rain.B.The shower was out of order.C.He got out of the shower to answer the phone.4.Where does Mr.Green work?A.In a hospital.B.In the railway station.C.In the woman’s company.5.What is the woman looking at?A.A train from Beijing to Shanghai.B.The railway timetable.C.The maps of Beijing and Shanghai.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，并标出试卷的相应位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5分钟，听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听下面一段对话，回答第6题和第7两个小题。

长沙市第一中学2016-2017学年度下学年高一语文第三次月考试题时量:120分钟总分:150分注意事项：1、答卷前，考生务必将自己的班级、姓名、考号、试室号、座位号涂写在答题卷上。

2、选择题每小题选出答案后，用2B铅笔把答题卷上对应题目选项的答案信息点涂黑。

如需改动，用橡皮擦干净后，再选涂其他答案。

3、非选择题必须用黑色字迹的钢笔或签字笔作答。

答案必须写在答题卷各题目规定区域内的相应位置上。

如需改动，先划掉原来的答案，然后再写上新的答案。

不准使用铅笔和涂改液。

不按以上要求作答的答案无效。

4、考生必须保持答题卷的整洁。

考试结束后，交答题卷。

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，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。

（）1. What are the speakers talking about?A. A volleyball match.B. A character competition.C. A wrestling match.（）2. What does the boy mean?A. He's unwilling to fetch the clothes.B. He has already put away the clothes.C. He will put away the clothes before it rains.（）3. How long did the woman wait for?A. Six hours.B. Two hours.C. Four hours.（）4. What's the woman complaining about?A. Having to wait.B. The computer.C. The parcels.（）5. What are the speakers talking about?A. A heavy fog.B. A traffic accident.C. A driving test.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，并标在试卷的相应位置。

2016-2017学年高一英语上学期期末试卷（带答案）荆州中学2016～2017学年度上学期期末考试卷年级：高一科目：英语命题人：施玮审题人：马德珍注意事项: 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。

(试卷总分：10分；考试时间：120分钟)第I卷第一部分听力（共两节, 满分30分）做题时,先将答案标在试卷上。

听力结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节(共小题;每小题1分,满分7分)听下面段对话。

每段对话后有一个小题,从题中所给的A、B、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称钟的时间回答有关小题和阅读下一小题。

每段对话仅读一遍。

例：H uh is the shirt?A ￡191B ￡91 ￡918答案是B。

1 hat uld the an lie?A A ld drinB Sleeping pills A up f ffee2 here is the bus statin?A ppsite a stadiuB Next t a ar par n the left f a bridge3 hat des the an dislie abut the seater?A The prieB The aterial The lr4 hat des the an thin f the urse?A EasB Interesting Diffiulthat are the speaers ainl taling abut?A A sprts gaeB An anial An atr第二节(共1小题; 每小题1分, 满分22分）听下面段对话或独白。

每段对话或独白后有几个小题,从题中所给的A、B、三个项中选出最佳选项,并标在试卷的相应位置。

银川一中2016/2017学年度(上)高一期末考试英语试卷（总分：150分；考试时间：120分钟）第I卷（共80分）答卷要求：将第一卷的答案填涂在答题卡上；第二卷为笔答部分，答案直接写在试卷上。

考试结束后交答题卡和第二卷。

一、听力(共两节，满分20分)第一节（共5小题；每小题1分，满分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，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。

1.What gift will the woman probably get for Mary?A. A CD.B. A movie ticket.C. A schoolbag.2.What is the man doing?A. Looking for his clothes.B. Enjoying a party.C. Watching TV.3.What does the man mainly do in his spare time?A. He plays sports.B. He plays the piano.C. He learns a language.4.Which flavor is the most popular?A. Strawberry.B. Lemon.C. Chocolate.5.What are the speakers talking about?A. A movie they just saw.B. A favorite actor.C. Weekend plans.第二节(共15小题；每小题1分，满分15分)听第6段材料，回答第6、7题。

6.What is the relationship between the speakers?A. Teacher and student.B. Former classmates.C. Old teammates.7.What is the woman more interested in now?A. Playing the piano.B. Playing basketball.C. Playing tennis.听第7段材料，回答第8、9题。

班级姓名学号分数期末测试卷（B卷）（测试时间：60分钟满分：100分）第二部分：阅读理解（共两节，满分30分）第一节（共10小题；每小题2分，满分20分）阅读下面短文，然后从各题所给的四个选项（A、B、C和D）中，选出最佳选项。

A【河北省石家庄市第一中学2015-2016学年高一下学期期末】As a boy, Sanders was much influenced by books about the sea, but by the age of fifteen he had decided to become a doctor rather than a sailor. His father was a doctor. So he was often with the doctors and got along very well with them. When he was fourteen, he was already hanging around the hospital where he was supposed to be helping to clean the medicine bottles, but was actually trying to listen to the doctors’ conversations with patients in the next room.During the war Sanders served in the army as a surgeon(外科医生). “That was the happiest ti me of my life. I was dealing with real sufferers and on the whole making a success of my job.” In Rhodes he taught the country people simple facts about medicine. He saw himself as a life-saver. He had proved his skill to himself and had a firm belief that he could serve those who lived simply, and were dependent upon him. Thus, while in a position to tell them what to do he could feel he was serving them.After the war, he married and set up a practice deep in the countryside, working under an old doctor who hated the sight of blood. This gave the younger man plenty of opportunities to go on working as a life-saver.1. When he was a small boy, Sander was influenced by books about ______.A. the hospital.B. the war.C. the sea.D. the countryside.2. At the age of 14, Sanders ______.A. worked as a doctor in the hospital.B. got along well with the patients.C. was interested in talking with doctors and patients.D. helped to clean the medicine bottles in the hospital.3. When the war was over, he ______.A. had the happiest time of his life.B. started to hate the sight of blood while working.C. served the countrymen under an old doctor.D. had few chances to be a “life-saver” because he was younger.2.D推理题：从第二段的句子He had proved his skill to himself and had a firm belief that he could serve those who lived simply, and were dependent upon him.看出他是为国民服务。

福建师大附中2016-2017学年下学期期末考试高一英语试卷时间：120分钟满分：150分命题：高一备课组审核：林艳英语试题卷10页。

满分150分。

考试时间120分钟。

注意事项：1.答题前，务必将条形码贴在答题卡规定的位置上。

2.答选择题时，必须使用2B铅笔将答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦擦干净后，再选涂其他答案标号。

3.答非选择题时，必须使用0.5毫米黑色签字笔，将答案书写在答题卡规定的位置上。

4.所有题目必须在答题卡上作答，在试题卷上答题无效。

第Ⅰ卷（选择题，共74分）第一部分：听力（共20题；每小题1分，满分20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秒钟的时间回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. What ind of news are the speaers taling about?A.Travel news.B.Health news.C.Sports news.2. What does the man want to do?A.Run some tests.B.Call Sarah’s husband.C.Chec Sarah’s head again.3. What game will the speaers play?A.Soccer.B.Baseball.C.Chess.4. Where are the speaers?A. In a laundry.B.At a restaurant.C.At a clothing store.5. What are the speaers taling about?A.The recent weather events.B.The amount of water in the river.C.The local swimming pool.笫二节听下面5段对话或独白。

第一部分听力（共两节，20小题；每小题0.5分，满分10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。

1.What does the woman think of Lucy?A.Kind.B.Noisy.C.Talkative.2.When will the man leave his house?A.At 7:00.B.At 7:15.C.At 7:30.3.What is the woman going to do?A.Tell children stories.B.Take part in a beauty contest.C.Act as a judge fora beauty contest.4.What language is mostly used in the man's classes?A.The students' language.B.English.C.Both languages in tum.5.How did the man get pocket money as a child?A.By behaving well.B.By doing housework.C.By doing part-time jobs.第二节听下面5段对话或对白，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，并标在试卷的相应位置，听每段对话或独白前，你将有时间阅读各个小题。

每小题5秒钟；听完后，各小题给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6至7题。

6.What are the speakers mainly talking about?A.How to fry eggs.B.How to make cakes.C.How to fry bread.7.What does the woman ask the man to do after adding a little milk?A.Put a piece of bread in the egg.B.Break two eggs in a bowl.C.Heat a frying pan.听第7段材料，回答第8至10题。

湖南省重点中学2016-2017学年高一下学期期末英语试题第I卷第一部分听力（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，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。

1. What will the woman probably do next?A. Make dinner.B. Wash the dishes.C. Play video games.2. What do we know about the speakers?A. They are going to college.B. They are majoring in biology.C. They both have their own business.3. What are the speakers talking about?A. A TV series.B. Video games.C. Some movies.4. What does the man think of the electric car?A. It is dangerous.B. It is convenient.C. It is expensive.5. Who is the man?A. The child’s uncl e.B. The child’s father.C. The woman’s husband.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对活或独白。

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，并标在试卷的相应位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

湖南师大附中2017－2018学年度高一第二学期期末考试英语命题人：蔡茜王心怡朱蔚雍琼甘舒展刘雄昆时量：120分钟满分：150分得分____________第一部分听力技能(共两节，满分30分)做题时，先将答案标在试题卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

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. ￡19.15B. ￡9.18C. ￡9.15答案是C。

1. Why has the woman been trying to call David?A. To see if he is busy.B. To cancel an appointment.C. To invite him to watch a film.2. How did the man use to go to wor?A. On foot.B. By car.C. By bus.3. Where do most of the woman's current earnings come from?A. Her recordings.B. Her advertising wor.C. Her concert performance.4. What does the man mean?A. He has nown the results.B. He will tell the woman the results.C. He thins the results will mae the woman unhappy.5. What will the man do net year?A. Loo for a part­time job.B. Attend a mareting course.C. Continue to wor in the company.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。

2016学年度第一学期高一年级英语学科期末考试卷（考试时间：90分钟满分：100分）第I卷 (共80分)I. Listening Comprehension (16%)Section ADirections: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1.A. At 2:35. B. At 2:45.C. At 3:00.D. At 2:15.2. A. Once a week. B. Twice a week.C. Three times a week.D. Four times a week.3. A. In Shanghai. B. In New York.C. In London.D. In Japan.4. A. 16.4 yuan. B. 7.2 yuan.C. 5.8 yuan.D. 9.2 yuan.5. A. Ann is cold. B. Ann is unfriendly.C. Ann will help.D. Ann wants money.6. A. Wife and husband. B. Secretary and boss.C. Waitress and customer.D. Doctor and nurse.7. A. 27815389. B. 27185398.C. 27815398.D. 27185389.8. A. Pleased. B. Critical.C. Angry.D. Dissatisfied.9. A.The man went to the concert, but the woman didn’t.B. The woman went to the concert, but the man didn’t.C. The speakers didn’t go to th e concert.D. Both speakers went to the concert.10. A. The woman can’t attend the meeting.B.The woman was mistaken.C. He couldn’t keep his promise.D. He didn’t know what the woman thought.Section BDirections: In Part B, you will hear two short passages, and you will be asked three questions on each of the passages. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 13 are based on the following passage11. A. It’s good for training one’s character but not good for one’s health.B. It cannot prepare pupils to be good citizens.C. It has less effect on a child’s character than sports and games.D. It’s as important as after-class activities.12. A. Because pupils there have to spend most of the time studying.B. Because the school authorities insist on traditional ways of teaching.C. Because the school authorities have neglected discipline.D. Because pupils there are too fond of playing.13. A. Practical work. B. Collective activities.C. Teacher’s encouragement.D. Book knowledge.Questions 14 through 16 are based on the following passage.14. A. Because sports help one earn money.B. Because sports help one keep healthy and happy as well as live longer.C. Because sports help one kill time.D. Because sports help one keep a living.15. A. Horse-riding. B. Hunting.C. Fishing.D. All of the above.16. A. Football. B. Skating.C. Swimming.D. Skiing.II. Grammar and Vocabulary (25%)Section A (15%)Directions:After reading the passages below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.(A )Two years after making its first soft (17)_______(land) on the moon, China has started a new round of work focused on lunar exploration. The country is going to land an unmanned (无人操控的) spacecraft on the dark side of the moon. The plan (18)_______ (carry out) in two years’ time at most.The moon’s dark side is never directly visible from the Earth. Although previous spacecraft have taken pictures of the dark side, none has landed on it. The new exploration will be the first time for human beings (19) _______ (land) a spacecraft on the unexplored side. It will also mark another milestone in China’s ambitious space program.The exploration will be conducted by the new Chang’e-4 spacecraft. The spacecraft will make a soft landing on the dark side of the moon. Experts say the landing will be challenging. The dark side contains the (20) _______ (big) hole in the solar system, (21) _______ is about 2,500km wide and 13km deep.The ability to explore the space is often seen as a marker of a country’s national strength and global status. In the past decades, China (22) _______ (spend) a lot of money and energy (23) _______ space programs. However, the country has mostly repeated (24) _______ the United States and Russia pioneered decades ago.“The Chang’e-4 mission will be different,”said Liu Jizhong, China’s lunar exploration chief. “It will help our country make the leap from following to leading in the field of lunar exploration.”( B )One day, I read an article about The Life of Nick. When I saw it, I made up my mind to buy tha t book “The Life of Nick” (“Life Without Limits”). How wonderful it is. The book talks about (25) ______ Nick faced his difficulties and what persistence is.Nick is a man (26) ______ was born with no arms or legs. Even though his body is restricted, he has never give up. To him, the sky is the limit. He challenges everything impossible to make it possible. For example, he (27) ______ swim, paint and even drive.His story taught me that (28) _____ _____ _____difficult problems are, I should face up to them. Because of his story, I can always keep up my courage to overcome all difficulties. Moreover, it told me one of the most important points in life: If I fail, I should try again, and again, and again. Finally, I also learned that if I want to be successful, I have to change my thought first.As his book says: “In life you have (29) ______ choice: Bitter or Better? Choose better, forget bitter.” Second, I need to stick to my mind all the time. Third, I should face my problems and do my best to change them. D on’t depend on (30) ______ because this is the only way (31) _______(strengthen) myself. The last but not least is confidence! “The Life of Nick” indeed taught me how to challenge myself and all difficulties.Section B (10%)Directions: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.When people need to make purchases, whether large-ticket items or small, they don’t necessarily consider purchasing that item used. If the thought crosses their 32 , they tend to think that finding somewhere to purchase a used item is too much trouble, or that the item won’t be in the best shape. Whatever the reason, they don’t bother to buy items used, and instead, 33 straight for shiny new things. What these people don’t realize is that w hen it comes to certain items, there is no point in paying full 34 . For certain items you can find equal quality with second-hand, and for a small part of the cost. And with some online sites, finding those items couldn’t be 35 . Why pay full price when you could be saving loads of money?Here are some items that you would be much better off buying used:1.Cars. The new car smell is unforgettable, but what’s even more unforgettableis the fact that the minute you drive a brand new car off a lot, its value drops 36 by about 20%. You lose 20% in the first few spins of the wheel alone! Unless you have unlimited resources, buying a used car is a clear 37 choice. In addition, insurance is a lot less on used cars than new cars. You can find a car in excellent 38 that’s a few years old. It’s definitely(肯定地） 39 the savings.2.Textbooks. These days, even high school text books for advanced courses can cost you more than $200 dollars. Most likely, at the end of the semester, that $200 will end up sitting at the bottom of a pile of junk in the corner of a room, 40 dust. Don’t waste money on a new textbook. You can find used textbooks in excellent condition without scribbles(乱写) on the pages or anything that will 41 studies.Choose to either rent, borrow, or buy your textbook second hand.3.Furniture.It’s no secret that furniture is pricey, and if you’re in the process of furnishing a new space with new furniture, prepare for your wallet to be drained. However, it doesn’t have to be that way. Flea markets are one of the excellent places for used furniture shopping. Flea markets also tend to have very unique pieces, which you wouldn’t be able to find in your department store.III. Reading Comprehension (39%)Section A (15%)Directions: For each blank in the following passages there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.In order to be a success in the American 42 world, you must “get along”with people. You must learn to conduct yourself in such a way that you 43 the affection and respect of others. As we all know, Americans 44 business with pleasure.Therefore, learning how to 45 informally can be a help with your American business contacts. Americans like to talk about a number of different topics—sports, politics, cars, popular movies and television shows and personal46 . Many large American cities have sports teams. If you are 47 withAmericans in the United States, it would be a good idea to find out about the local sports teams so that you can participate in the almost inevitable discussions about “how our 48 will do this year” .Politics can be a sensitive 49 unless everyone is of the same mind 50 .Limit your discussions to asking questions of your friends. Most Americans are 51 owners and some are even obsessive about the subject. You can contribute by talking about cars you have owned or by 52 information you have read in automotive magazines.Americans watch television almost every night and attend movies regularly.53 , television shows and the 54 movies become topics for discussions. Ifyou are unable to 55 American television or attend American movies, readingthe 56 section of such magazines as Time News week will keep you up to date on what is popular in America.42. A. business B. job C. entertainment D.fashion43. A. lack B. earn C. leave D. lose44. A. mix B. enjoy C. like D.manage45. A. conduct B. appear C. behave D. chat46. A. impressions B. interests C. styles D.cultures47. A. meeting B. working C. living D.playing48. A. group B. business C. company D. team49. A. subject B. topic C. hobby D.choice50. A. politically B. economically C. professionally D.personally51. A. house B. car C. business D. land52. A. collecting B. sharing C. gathering D.analyzing53. A. Therefore B. Moreover C. However D. Inaddition54. A. interesting B. exciting C. excellentD. latest55. A. witness B. look C. watch D.glance56. A. entertainment B. sports C. business D.movieSection B (24%)Directions: Read the following passages. Each passage is followed by several questions. For each of them there are four choices marked A,B,C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)For many years, no one could communicate with people who had been born without hearing. These deaf people were not able to use a spoken language.But beginning in the 1700s, the deaf were taught a special language. Using the language, they could share thoughts and ideas with others. The language they used was a language without sound. It was a sign language.How did this sign language work? The deaf were taught to make certain movements using their hands, faces, and bodies. These movements stood for things and ideas.A man might m ove his forefinger across his lips. This meant: “my uncle”. The deaf were also taught to use a finger alphabet. They used their fingers to make the letters of the alphabet. In this way, they spelled out words. Some deaf people could spell out words at a speed of 130 words per minute.Sign language and finger spelling are not used as much as they once were. Today the deaf are taught to understand others by watching their lips. They are taught how to speak.57. On the whole the story is about ___________.A. how the deaf communicateB. learning to spellC. teaching the deaf to speakD. writing sign languages58. How did sign language help the deaf?A. It helped them to learn to read.B. The deaf could understand Indian sign language.C. It helped them communicate with other people.D. The deaf could move their thumbs across their lips.59. What does it mean if a person moves his forefinger across his mouth?A. He wants you to shut up.B. It means somebody.C. He believes what you are saying.D. He doesn’t believe you.60. The deaf don’t use sign language and finger spelling as much as they used tobecause ____________.A. they find it much harder to learn sign languageB. they don’t like to use their fingersC. they find it easier to watch the others’ lipsD. they are taught to understand the others by watching their lips（B）When you are advised to “get an education” if you want to raise your income, you are only told half the truth, what you should be told is to get just enough education to provide manpower for your society, but not too much education that would prove an embarrassment to your society. Get a high school diploma, at least. Without that, you are occupationally（职业地） dead, unless your name happens to be George Bernard Shaw or Thomas Alva Edison and you can successfully drop out in grade school.Get a college degree, if possible. With a BA, you are on the launching pad. But now you have to start to put on the brakes. If you go for a master’s degree, make sure it’s an MBA, and only from a first-rate university. Beyond this, the famous law of diminishing returns (报酬递减规律性) begins to take effect. Do you know, for instance, that heavy truck drivers earn more a year than full professors? Yes, the average 1977 salary for those truckers was $ 24,000, while the full professor managed to average just $ 23,930.A Ph.D. is the highest degree you can get, but except for a few specialized fields such as physics or chemistry, where the degree can quickly be turned to industrial or commercial purposes, you are facing a dark future. There are more Ph. Ds unemployed or underemployed in this country than any other part of world by far.If you become a doctor of Philosophy in English or History or Anthropology or Political Science or language or-worst of all-in Philosophy, you run the risk of becoming overeducated for our national demands.Income and education are closely related. Far enough, that is, to make you useful to the gross national product, but not so far that nobody can turn much of a profiton you.61. According to the writer, the expectation(期望）of education is to turn out people who _____.A. will become loyal citizens to a nationB. can always take good care of themselvesC. will not be a shame to society or their familiesD. can meet the demands as a source of manpower62.If you are as gifted as Bernard Shaw or Edison ______.A. you can get a high school diploma without difficultyB. you can be professionally successful without a diplomaC. the least you should do is to get a diplomaD. you will be more successful in grade school63.Many Ph. Ds are out of work because ______.A. they are of little commercial value to the societyB. they prefer easy jobs with more moneyC. there are fewer jobs in high schoolsD. they are wrongly educated64. According to the passage, which of the following is NOT true?A. The higher your education level is, the more money you’ll earn.B. Too much education may make it difficult for you to find a job..C. One must think carefully before going for a master’s degree.D. Bernard Shaw didn’t finish high school, nor did Edison.Section CDirections: Read the following passage and choose the most suitable statement from A-F for each blank. There are two extra statements, which you do n’t need.Note-taking is a skill that can help you do well in all your schoolwork. It can make you confident when you are studying. ___65___If your teacher writes notes on the blackboard, that's great. You can copy them or write down the most important facts of all in class. ___66___ For example, some teachers may focus on lots of dates and facts in class, but they only write the important ones on the blackboard. Other teachers may not write anything down, but they may repeat them.Don't try to write down every word in class, or you might miss some important points. Some students really learn better with the help of these notes.___67___ If your teacher speaks too fast and you can't follow what he is saying, you can ask him after class.Comparing your notes with your classmates can be good for your learning. ___68___ Note-taking also needs organization. Keep notes for each subject in one place, so that you can find everything easily when a test comes.Good note-taking takes time. If you decide to recopy your notes every morning, you'll surely have less time to watch TV. But you'll save time in the coming test.第II卷（共20分）IV. Translation (20%)Directions: Translate the following sentences into English, using the words given in the brackets.1. 那些能够注意细节的人有朝一日会成功的。

2016-2017学年湖南师大附中高一（上)期末数学试卷一、选择题：本大题共11小题，每小题5分，共55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．已知两点A（a，3），B（1,﹣2)，若直线AB的倾斜角为135°，则a的值为( ）A．6 B．﹣6 C．4 D．﹣42．对于给定的直线l和平面a，在平面a内总存在直线m与直线l( ）A．平行B．相交C．垂直D．异面3．已知直线l1：2x+3my﹣m+2=0和l2：mx+6y﹣4=0，若l1∥l2，则l1与l2之间的距离为（）A．B．C．D．4．已知三棱锥P﹣ABC的三条侧棱PA、PB、PC两两互相垂直，且PA=2，PB=，PC=3，则这个三棱锥的外接球的表面积为（）A．16πB．32πC．36πD．64π5．圆与圆的位置关系是( ）A．相交B．外离C．内含D．内切6．已知α，β是两个不同的平面，m．n是两条不同的直线，则下列命题中正确的是（）A．若m∥n，m⊂β,则n∥βB．若m∥α,α∩β=n，则m∥nC．若m⊥α，m⊥β，则α∥β D．若m⊥β，α⊥β，则m∥α7．在空间直角坐标系O﹣xyz中，一个四面体的顶点坐标为分别为（0，0，2）,（2,2，0），（0，2,0),(2，2，2）．画该四面体三视图中的正视图时，以xOz平面为投影面，则得到正视图可以为( ) A．B．C．D．8．若点P（3，1)为圆(x﹣2）2+y2=16的弦AB的中点，则直线AB 的方程为（）A．x﹣3y=0 B．2x﹣y﹣5=0 C．x+y﹣4=0 D．x﹣2y﹣1=09．已知四棱锥P﹣ABCD的底面为菱形,∠BAD=60°，侧面PAD 为正三角形,且平面PAD⊥平面ABCD，则下列说法中错误的是（）A．异面直线PA与BC的夹角为60°B．若M为AD的中点，则AD⊥平面PMBC．二面角P﹣BC﹣A的大小为45°D．BD⊥平面PAC10．已知直线l过点P(2,4），且与圆O：x2+y2=4相切，则直线l的方程为（）A．x=2或3x﹣4y+10=0 B．x=2或x+2y﹣10=0C．y=4或3x﹣4y+10=0 D．y=4或x+2y﹣10=011．如图所示,在直角梯形BCEF中，∠CBF=∠BCE=90°,A、D分别是BF、CE上的点，AD∥BC，且AB=DE=2BC=2AF（如图1）．将四边形ADEF沿AD折起，连结BE、BF、CE（如图2）．在折起的过程中，下列说法中错误的是（）A．AC∥平面BEFB．B、C、E、F四点不可能共面C．若EF⊥CF，则平面ADEF⊥平面ABCDD．平面BCE与平面BEF可能垂直二、填空题：本大题共3个小题,每小题5分，共15分．12．若直线x﹣y+1=0与圆（x﹣a）2+y2=2有公共点，则实数a取值范围是．13．已知一个圆柱的底面直径和母线长都等于球的直径，记圆柱的体积为V1，球的体积为V2,则= ．14．已知三棱锥P﹣ABC的体积为10，其三视图如图所示，则这个三棱锥最长的一条侧棱长等于．三、解答题：本大题共3个小题,共30分．解答应写出文字说明，证明过程或演算步骤．15．已知△ABC的三个顶点的坐标分别为A(3,0），B（4，6)，C（0，8）．（1)求BC边上的高所在直线l的方程;（2）求△ABC的面积．16．已知圆C经过A（﹣2，1），B（5，0)两点,且圆心C在直线y=2x 上．(1）求圆C的标准方程；（2)设动直线l：（m+2)x+（2m+1）y﹣7m﹣8=0与圆C相交于P，Q两点，求｜PQ|的最小值．17．如图，在三棱柱ABC﹣A1B1C1中，A1A⊥平面ABC，AB⊥AC，AB=AC=AA1，D为BC的中点．(1）证明:A1B⊥平面AB1C;（2）求直线A1D与平面AB1C所成的角的大小．一、本大题共2个小题，每小题5分，共12分．18．已知集合,则N∩∁R M= ．19．已知函数f（x）在定义域R上单调递减，且函数y=f（x﹣1）的图象关于点A(1，0）对称．若实数t满足f（t2﹣2t）+f(﹣3）＞0,则的取值范围是（）A．（，+∞）B．（﹣∞,）C．(0，）D．（，1）∪（1，+∞）二、本大题共3个大题，共38分．20．如图,四棱锥S﹣ABCD的底面是正方形,每条侧棱的长都是底面边长的倍，P为侧棱SD上的点．(Ⅰ）求证：AC⊥SD；（Ⅱ）若SD⊥平面PAC，则侧棱SC上是否存在一点E，使得BE ∥平面PAC．若存在，求SE：EC的值;若不存在，试说明理由．21．设函数f（x）=mx2﹣mx﹣1，g(x）=．（1）若对任意x∈［1,3]，不等式f（x)＜5﹣m恒成立,求实数m的取值范围；（2）当m=﹣时，确定函数g(x)在区间(3，+∞）上的单调性．22．已知圆C:（x﹣a）2+（y﹣a﹣2)2=9，其中a为实常数．（1）若直线l：x+y﹣4=0被圆C截得的弦长为2，求a的值；(2）设点A（3，0），O为坐标原点,若圆C上存在点M,使｜MA｜=2｜MO|,求a的取值范围．2016-2017学年湖南师大附中高一（上）期末数学试卷参考答案与试题解析一、选择题：本大题共11小题,每小题5分，共55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．已知两点A（a，3），B（1，﹣2），若直线AB的倾斜角为135°，则a的值为（）A．6 B．﹣6 C．4 D．﹣4【考点】直线的倾斜角．【分析】利用斜率计算公式即可得出．【解答】解：∵过点A（a，3），B（1，﹣2）的直线的倾斜角为135°，∴tan135°==﹣1，解得a=﹣4．故选:D．2．对于给定的直线l和平面a，在平面a内总存在直线m与直线l( ）A．平行B．相交C．垂直D．异面【考点】空间中直线与直线之间的位置关系．【分析】本题可采用分类讨论,对答案进行排除,分别讨论直线l和平面α平行，直线l和平面α相交，直线l⊂平面α，三种情况,排除错误答案后，即可得到结论．【解答】解:若直线l和平面α平行,则平面α内的直线与l平行或异面，不可能相交，可排除答案A；若直线l和平面α相交，则平面α内的直线与l相交或异面，不可能平行，可排除答案B；若直线l⊂平面α,则平面α内的直线与l相交或平行，不可能异面，可排除答案D；故选C．3．已知直线l1：2x+3my﹣m+2=0和l2:mx+6y﹣4=0，若l1∥l2,则l1与l2之间的距离为( )A．B．C．D．【考点】直线的一般式方程与直线的平行关系．【分析】由，解得m=±2，m=﹣2时舍去，可得m=2,再利用平行线之间的距离公式即可得出．【解答】解：由，解得m=±2，m=﹣2时舍去，∴m=2,因此两条直线方程分别化为：x+3y=0，x+3y﹣2=0．则l1与l2之间的距离==．故选:B．4．已知三棱锥P﹣ABC的三条侧棱PA、PB、PC两两互相垂直，且PA=2，PB=，PC=3,则这个三棱锥的外接球的表面积为（）A．16πB．32πC．36πD．64π【考点】球的体积和表面积．【分析】三棱锥P﹣ABC的三条侧棱PA、PB、PC两两互相垂直，它的外接球就是它扩展为长方体的外接球,求出长方体的对角线的长，就是球的直径，然后求球的表面积．【解答】解：三棱锥P﹣ABC的三条侧棱PA、PB、PC两两互相垂直,它的外接球就是它扩展为长方体的外接球，求出长方体的对角线的长：=4所以球的直径是4，半径为2，球的表面积：4π×4=16π．故选A．5．圆与圆的位置关系是( ）A．相交B．外离C．内含D．内切【考点】圆与圆的位置关系及其判定．【分析】将圆的一般方程转化为标准方程，根据两圆圆心之间的距离和半径之间的关系进行判断．【解答】解:圆的标准方程为（x﹣2)2+(y﹣3)2=1，圆心O1（2,3)，半径r=1，圆的标准方程为(x﹣4)2+(y﹣3）2=9，圆心O2（4，3），半径R=3,两圆心之间的距离｜O1O2|=4﹣2=2=R﹣r,∴两圆内切．故选：D．6．已知α，β是两个不同的平面，m．n是两条不同的直线，则下列命题中正确的是（）A．若m∥n，m⊂β,则n∥βB．若m∥α，α∩β=n，则m∥n C．若m⊥α，m⊥β，则α∥β D．若m⊥β，α⊥β，则m∥α【考点】空间中直线与平面之间的位置关系．【分析】对于选项A,若m∥n，m⊂β则n∥β，可通过线面平行的判定定理进行判断对于选项B，可通过线面平行的性质定理进行判断；对于选项C,可通过面面平行的判定条件进行判断;对于选项D，可通过线面位置关系判断．【解答】解：A不正确，m∥n，m⊂β，由于n可能在β内，故推不出n∥β；B不正确，m∥α，α∩β=n,m不一定在β内,故不能推出m∥n；C正确，垂直于同一条直线的两个平面平行；D不正确，m⊥β,α⊥β，由于m⊂α的可能性存在，故m∥α不正确．故选：C．7．在空间直角坐标系O﹣xyz中，一个四面体的顶点坐标为分别为（0,0，2)，(2,2，0）,(0，2，0），(2,2，2）．画该四面体三视图中的正视图时，以xOz平面为投影面，则得到正视图可以为（）A．B．C．D．【考点】由三视图求面积、体积．【分析】由题意画出几何体的直观图，然后判断以zOx平面为投影面，则得到正视图即可．【解答】解：因为一个四面体的顶点在空间直角坐标系O﹣xyz中的坐标分别是（0，0，2），（2，2，0），(0，2,0），（2，2，2）．几何体的直观图如图,所以以zOx平面为投影面,则得到正视图为：故选A．8．若点P（3，1）为圆（x﹣2）2+y2=16的弦AB的中点，则直线AB的方程为（)A．x﹣3y=0 B．2x﹣y﹣5=0 C．x+y﹣4=0 D．x﹣2y﹣1=0【考点】待定系数法求直线方程．【分析】由垂径定理，得AB中点与圆心C的连线与AB互相垂直,由此算出AB的斜率k=﹣1,结合直线方程的点斜式列式，即可得到直线AB的方程．【解答】解：∵AB是圆（x﹣2）2+y2=16的弦，圆心为C（2，0），∴设AB的中点是P（3，1）满足AB⊥CP,因此，PQ的斜率k=﹣1，可得直线PQ的方程是y﹣1=﹣（x﹣3），化简得x+y﹣4=0，故选:C．9．已知四棱锥P﹣ABCD的底面为菱形，∠BAD=60°,侧面PAD 为正三角形，且平面PAD⊥平面ABCD，则下列说法中错误的是（）A．异面直线PA与BC的夹角为60°B．若M为AD的中点,则AD⊥平面PMBC．二面角P﹣BC﹣A的大小为45°D．BD⊥平面PAC【考点】棱锥的结构特征．【分析】根据线面垂直，异面直线所成角的大小以及二面角的求解方法分别进行判断即可．【解答】解：对于A，∵AD∥BC,∴∠PAD为异面直线PA与BC 的夹角，为60°，正确；对于B，连PM，BM，则∵侧面PAD为正三角形,∴PM⊥AD，又底面ABCD是∠DAB=60°的菱形，∴三角形ABD是等边三角形，∴AD⊥BM，∴AD⊥平面PBM，故B正确；对于C,∵底面ABCD为菱形，∠DAB=60°平面PAD⊥平面ABCD，∴BM⊥BC,则∠PBM是二面角P﹣BC﹣A的平面角，设AB=1，则BM=,PM=，在直角三角形PBM中，tan∠PBM=1,即∠PBM=45°，故二面角P﹣BC﹣A的大小为45°，故C正确,故错误的是D,故选：D．10．已知直线l过点P(2,4）,且与圆O：x2+y2=4相切，则直线l的方程为( ）A．x=2或3x﹣4y+10=0 B．x=2或x+2y﹣10=0C．y=4或3x﹣4y+10=0 D．y=4或x+2y﹣10=0【考点】圆的切线方程．【分析】切线的斜率存在时设过点P的圆的切线斜率为k，写出点斜式方程再化为一般式．根据圆心到切线的距离等于圆的半径这一性质，由点到直线的距离公式列出含k的方程，由方程解得k，然后代回所设切线方程即可．切线斜率不存在时，直线方程验证即可．【解答】解：将点P(2,4）代入圆的方程得22+32=13＞4,∴点P在圆外，当过点P的切线斜率存在时，设所求切线的斜率为k，由点斜式可得切线方程为y﹣4=k（x﹣2）,即kx﹣y﹣2k+4=0，∴=2，解得k=．故所求切线方程为3x﹣4y+16=0．当过点P的切线斜率不存在时,方程为x=2,也满足条件．故所求圆的切线方程为3x﹣4y+16=0或x=2．故选A．11．如图所示，在直角梯形BCEF中，∠CBF=∠BCE=90°，A、D分别是BF、CE上的点，AD∥BC，且AB=DE=2BC=2AF（如图1）．将四边形ADEF沿AD折起,连结BE、BF、CE（如图2）．在折起的过程中，下列说法中错误的是( )A．AC∥平面BEFB．B、C、E、F四点不可能共面C．若EF⊥CF,则平面ADEF⊥平面ABCDD．平面BCE与平面BEF可能垂直【考点】平面与平面之间的位置关系．【分析】本题考查了折叠得到的空间线面关系的判断;用到了线面平行、面面垂直的判定定理和性质定理．【解答】解:在图2中取AC的中点为O，取BE的中点为M，连结MO,易证得四边形AOMF为平行四边形，即AC∥FM，∴AC∥平面BEF，故A正确;∵直线BF与CE为异面直线，∴B、C、E、F四点不可能共面,故B 正确；在梯形ADEF中，易得EF⊥FD，又EF⊥CF，∴EF⊥平面CDF，即有CD⊥EF，∴CD⊥平面ADEF，则平面ADEF⊥平面ABCD，故C正确；延长AF至G使得AF=FG，连结BG、EG，易得平面BCE⊥平面ABF，过F作FN⊥BG于N，则FN⊥平面BCE．若平面BCE⊥平面BEF，则过F作直线与平面BCE垂直，其垂足在BE上，矛盾,故D错误．故选：D二、填空题：本大题共3个小题，每小题5分，共15分．12．若直线x﹣y+1=0与圆（x﹣a）2+y2=2有公共点，则实数a取值范围是［﹣3，1] ．【考点】直线与圆的位置关系．【分析】由题意可得，圆心到直线的距离小于或等于半径，即≤，解绝对值不等式求得实数a取值范围．【解答】解：由题意可得，圆心到直线的距离小于或等于半径，即≤，化简得｜a+1|≤2,故有﹣2≤a+1≤2，求得﹣3≤a≤1，故答案为：［﹣3，1]．13．已知一个圆柱的底面直径和母线长都等于球的直径，记圆柱的体积为V1，球的体积为V2，则= ．【考点】棱柱、棱锥、棱台的体积．【分析】设出球的半径，然后求解圆柱的体积,球的体积，推出结果即可．【解答】解：设球的半径为r,由题意可得：球的体积为V2=；圆柱的底面直径和母线长都等于球的直径，记圆柱的体积为V1=πr2•2r，则==．故答案为：．14．已知三棱锥P﹣ABC的体积为10，其三视图如图所示,则这个三棱锥最长的一条侧棱长等于．【考点】棱柱、棱锥、棱台的体积．【分析】由已知中的三视图，画出几何体的直观图，数形结合求出各棱的长，可得答案【解答】解：由三棱锥的三视图可得几何体的直观图如下图所示: O是顶点V在底面上的射影，棱锥的底面面积S=×4×5=10，∵三棱锥P﹣ABC的体积为10，故棱锥的高VO=3，则VA=，VC=3，AC=5,BC=4,AB=，VB=,故最长的侧棱为，故答案为:三、解答题:本大题共3个小题,共30分．解答应写出文字说明，证明过程或演算步骤．15．已知△ABC的三个顶点的坐标分别为A（3，0），B（4,6),C（0，8）．（1）求BC边上的高所在直线l的方程;（2）求△ABC的面积．【考点】待定系数法求直线方程．【分析】（1）求出BC的斜率，带入点斜式方程即可；（2)求出AC 的长，根据AC的方程，求出点B到直线AC的距离，从而求出三角形ABC的面积即可．【解答】解：（1）因为点B（4，6），C（0，8)，则k BC==﹣，因为l⊥BC，则l的斜率为2．又直线l过点A,所以直线l的方程为y=2（x﹣3），即2x﹣y﹣6=0．（2）因为点A（3，0)，C（0，8）,则|AC｜==，又直线AC的方程为+=1,即8x+3y﹣24=0，则点B到直线AC的距离d==，所以△ABC的面积S=｜AC｜×d=13．16．已知圆C经过A（﹣2，1），B（5，0）两点，且圆心C在直线y=2x上．(1）求圆C的标准方程;(2）设动直线l：（m+2）x+（2m+1）y﹣7m﹣8=0与圆C相交于P，Q两点，求|PQ|的最小值．【考点】圆的一般方程．【分析】（1）设圆C的方程为x2+y2+Dx+Ey+F=0，建立方程组，即可求圆C的标准方程；（2）直线l过定点M(3，2）．由圆的几何性质可知，当l⊥CM时，弦长|PQ｜最短．【解答】解：（1）设圆C的方程为x2+y2+Dx+Ey+F=0，则，解得D=﹣4，E=﹣8，F=﹣5．所以圆C的方程是x2+y2﹣4x﹣8y﹣5=0，即(x﹣2）2+（y﹣4）2=25．（2）直线l的方程化为（2x+y﹣8）+m(x+2y﹣7）=0．令,得x=3,y=2，所以直线l过定点M（3，2)．由圆的几何性质可知，当l⊥CM时,弦长｜PQ|最短．因为｜CM|==则｜PQ|min=2=417．如图，在三棱柱ABC﹣A1B1C1中,A1A⊥平面ABC，AB⊥AC，AB=AC=AA1，D为BC的中点．（1)证明：A1B⊥平面AB1C;(2）求直线A1D与平面AB1C所成的角的大小．【考点】直线与平面所成的角;直线与平面垂直的判定．【分析】（1）证明A1A⊥AC．AC⊥A1B．推出AB1⊥A1B．即可证明A1B⊥平面AB1C．（2)连结A1C，设AB1∩A1B=O,连CO，交A1D于G．说明G为△A1BC的重心．推出∠A1GO是A1D与平面AB1C所成的角．设AB=AC=AA1=1，在Rt△A1OG中，求解直线A1D与平面AB1C所成的角为60°．【解答】（1）证明：图1所示，因为A1A⊥平面ABC，则A1A⊥AC．又AC⊥AB，则AC⊥平面AA1B1B，所以AC⊥A1B．由已知，侧面AA1B1B是正方形，则AB1⊥A1B．因为AB1∩AC=A,所以A1B⊥平面AB1C．（2）解：图2所示，连结A1C，设AB1∩A1B=O，连CO，交A1D 于G．因为O为A1B的中点,D为BC的中点,则G为△A1BC的重心．因为A1O⊥平面AB1C，则∠A1GO是A1D与平面AB1C所成的角．设AB=AC=AA1=1，则A1B=BC=A1C=．得A1O=，A1G=A1D=sin 60°=，在Rt△A1OG中，sin∠A1GO=，则∠A1GO=60°．所以直线A1D与平面AB1C所成的角为60°．．一、本大题共2个小题，每小题5分，共12分．18．已知集合，则N∩∁R M= ［0，2］．【考点】交、并、补集的混合运算．【分析】先分别求出集合M和N，由此能求出N∩∁R M．【解答】解：集合，∴M=（﹣∞，0）∪(2,+∞）,N=［0,+∞），∴N∩C R M=［0，2］．故答案为：［0，2］．19．已知函数f（x）在定义域R上单调递减，且函数y=f（x﹣1）的图象关于点A(1，0）对称．若实数t满足f（t2﹣2t）+f（﹣3）＞0，则的取值范围是（）A．（，+∞) B．（﹣∞，) C．（0，）D．（，1）∪（1，+∞)【考点】抽象函数及其应用．【分析】判断函数的奇偶性,利用函数的单调性求出t的范围，化简，利用函数的单调性求解最值即可．【解答】解：因为y=f（x﹣1)的图象关于点A（1，0)对称，则y=f （x）的图象关于原点对称,即f（x)为奇函数．由f（t2﹣2t）+f(﹣3）＞0，得f(t2﹣2t）＞﹣f（﹣3）=f(3），因为f（x)在R上是减函数,则t2﹣2t＜3，即t2﹣2t﹣3＜0,得﹣1＜t＜3．因为y==1+;在区间（﹣1，3）上是减函数，则．故选:B．二、本大题共3个大题，共38分．20．如图，四棱锥S﹣ABCD的底面是正方形，每条侧棱的长都是底面边长的倍,P为侧棱SD上的点．（Ⅰ)求证：AC⊥SD；(Ⅱ）若SD⊥平面PAC，则侧棱SC上是否存在一点E，使得BE∥平面PAC．若存在，求SE:EC的值；若不存在，试说明理由．【考点】直线与平面垂直的性质；直线与平面平行的判定．【分析】（Ⅰ)先证明AC⊥面SBD，然后利用线面垂直的性质证明AC⊥SD;（Ⅱ）利用线面平行的性质定理确定E的位置,然后求出SE：EC的值．【解答】解:（Ⅰ）连BD，设AC交BD于O，由题意SO⊥AC，在正方形ABCD中，AC⊥BD，所以AC⊥面SBD,所以AC⊥SD．(Ⅱ）若SD⊥平面PAC,则SD⊥OP，设正方形ABCD的边长为a，则SD=，OD=，则OD2=P D•SD，可得PD==，故可在SP上取一点N，使PN=PD，过N作PC的平行线与SC的交点即为E，连BN．在△BDN中知BN∥PO，又由于NE∥PC，故平面BEN∥面PAC，得BE∥面PAC，由于SN：NP=2：1，故SE：EC=2：1．21．设函数f（x）=mx2﹣mx﹣1，g(x)=．(1）若对任意x∈［1，3]，不等式f（x）＜5﹣m恒成立，求实数m 的取值范围;（2）当m=﹣时,确定函数g(x)在区间（3，+∞）上的单调性．【考点】函数恒成立问题．【分析】（1)利用f（x）＜5﹣m，推出m＜，设h（x）=，则当x∈[1，3]时，m＜h（x）恒成立．利用二次函数的单调性求解m的取值范围．（2）推出g(x）=﹣（+）．设x1＞x2＞3，则g（x1）﹣g（x2）=（x1﹣x2)(﹣），利用函数的单调性的定义证明即可．【解答】解：（1）由f（x）＜5﹣m，得mx2﹣mx﹣1＜5﹣m，即m （x2﹣x+1）＜6．因为x2﹣x+1=(x﹣）2+＞0，则m＜．设h（x）=，则当x∈[1，3］时,m＜h（x）恒成立．因为y=x2﹣x+1在区间［1,3]上是增函数，则h(x）在区间[1，3]上是减函数,h(x）min=h（3）=,所以m的取值范围是（﹣∞,)．（2）因为f（x）=mx(x﹣1）﹣1，则g(x）=mx﹣．当m=﹣时，g(x）=﹣（+）．设x1＞x2＞3，则g（x1)﹣g（x2)=﹣﹣==（x1﹣x2）（﹣）因为x1﹣1＞x2﹣1＞2，则（x1﹣1）（x2﹣1）＞4,得＜，又x1﹣x2＞0，则g(x1）﹣g（x2）＜0，即g（x1）＜g（x2），所以g（x）在区间(3，+∞）上是减函数．22．已知圆C:(x﹣a)2+（y﹣a﹣2）2=9,其中a为实常数．（1）若直线l：x+y﹣4=0被圆C截得的弦长为2,求a的值;（2）设点A（3,0），O为坐标原点,若圆C上存在点M，使｜MA｜=2|MO｜，求a的取值范围．【考点】直线与圆的位置关系．【分析】（1）利用圆心到直线的距离公式,结合直线l：x+y﹣3=0被圆C截得的弦长为2,利用勾股定理，可求a的值;(2）求出M在圆心为D（﹣1，0)，半径为2的圆上，根据点M在圆C上，可得圆C与圆D有公共点，从而可得不等式，解不等式,即可求a的取值范围．【解答】解：（1）由圆方程知，圆C的圆心为C(a，a+2），半径为3．设圆心C到直线l的距离为d,因为直线l被圆C截得的弦长为2，则d2+1=9，即d=2．所以即|a﹣1｜=2,所以a=﹣1或a=3．（2)设点M（x，y），由|MA｜=2｜MO|，化简得x2+y2+2x﹣3=0．所以点M在圆D：（x+1)2+y2=4上．其圆心为D（﹣1，0)，半径为2．因为点M在圆C上,则圆C与圆D有公共点，即1≤｜CD｜≤5．所以1≤≤5，解得﹣5≤a≤﹣2或﹣1≤a≤2．故a的取值范围是［﹣5，﹣2］∪[﹣1，2］．2017年2月23日。