湖南省衡阳八中、永州四中、郴州一中湘南三校高一英语下学期入学分班考试试题(文科班)

（衡阳市一中、八中联合命题）总分:100分时量:120分钟考生注意：本试卷分为四个部分，包括听力、语言知识运用、阅读理解和书面表达。

考试结束后，将答卷收回。

PART ONE LISTENING COMPREHENSIONSECTION A （15 marks）Directions: In this section, you will hear six conversations between two speakers. For each conversation, there are several questions and each question is followed by three choices marked A, B and C. Listen carefully and then choose the best answer for each question.You will hear each conversation TWICE.Conversation 11. What will the traffic be like?A. There will be no taxi.B. It will not be busy.C. It will be heavy.2. How will the woman most probably get back?A. In the man’s car.B. By train.C. By taxi. Conversation 23. Who is the girl?A. A high school student .B. A college student.C. A lifeguard.4. What is she discussing with her father?A. How to be a lifeguard.B. How to choose universities.C. Her plan for the holiday.Conversation 35. What does the woman suggest the man do?A. Take some medicine.B. Call a doctor.C. Go back home for a rest.6. What will the man talk about with the woman next week?A. A business trip.B. A project.C. A contract. Conversation 47. What’s the weather like today?A. Clear.B. CloudyC. Rainy.8. When will the speakers leave tomorrow morning?A. At 7:13.B. At 7:30.C. At 7:40.9. How are you going to visit the farm?A. By bus.B. By bike.C. By train.Conversation 510. Where are the speakers?A. On the road.B. In a garage.C. In a parting lot.11. What is probably the woman’s job?A. A writer.B. A model.C. An actress.12. What does the man ask the woman to do in the end?A. Give him her picture.B. Write some words to his wife.C. Fix the car and pay for the repair charge.Conversation 613. What does the woman think of her course book?A. Interesting.B. Easy.C. Difficult.14. What is the man’s problem?A. He couldn’t understand his teacher.B. Pair work is too easy for him.C. His partner doesn’t speak any English.15. What is the woman going to do on Saturday?A. Going shopping and sightseeing with the man.B. Practice English with the man.C. Watch TV at home.SECTION B （5 marks）Directions: In this section, you will hear a short passage. Listen carefully and then fill in the numbered blanks with the information you have heard. Fill in each blank with NO MORE THAN THREE WORDS.You will hear the short passage TWICE.I. On the way to London AirportWe had a trip to Paris when I was __16__ years oldIt was about a three –hour drive by coach to London Airport.We had lunch at 17 , where 18 left our passports.II. In Paris.I __19___ as I ate five cream cakes.I stayed in bed ___20__.PART TWO LANGUAGE KNOWLEDGESECTION A （15 marks）Directions: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.21. I’m not sure _____I can afford the time to attend the conference, but I will ____ I am not occupied then.A. that, ifB. whether , if C .if , whether D. whether, whether22. Thousands of visitors were______ to the art show the first day it opened.A. attendedB. attackedC. attachedD. attracted23. There a driver and a number of broken wine bottles beside the high way whenthe police arrived．A．were B．was C．had been D．would be24. If Bob’s wife doesn’t agree to sign the papers， .A．neither he will B．neither will he C．neither won’t he D．he Won’t neither 25. The garden, ______with peach flowers , looks _____it were carpeted with pink snow when spring comes.A. covering, as thoughB. covered, even thoughC. covering, even thoughD. covered, as though26.____director of our department, whose father used to be _____ president of a localuniversity, had his first book published last year.A. A, aB. The, theC. The, /D. /, the27. By the latter half of the 14th century, English _____ the most widely used languageamong all classes in England.A. becameB. had becameC. becomeD. had become28.---Even the best player of his time cannot ______ perform his best in competitions.---I can’t agree with you_____ _. It depends on his mental and physical state.A. sometimes, any more B .always, moreC . sometimes , more D. always, any more29. My parents made a promise ______ I won the first prize in the game, they would buy me a new bicycle.A .that if B. that whether C. if that D. that if30. This assembly hall is _______ that one.A. as three times large asB. three times as large asC. larger than three timesD. three times the size as31.---Would you please do me a favor?---Well, it depends on ______ it is.A. whichB. whatC. whicheverD. whatever32. The professor together with his assistants ______ the archaeological site for nearly a year.A. have been exploringB. have been exploredC. has been exploringD. has been explored33. It being too noisy, she had to struggle to make herself_______.A. hearB. hearingC. heardD. to be heard34. It is not what you have but what you are ____ matters.A. thatB. whatC. whichD. until35. With the mid-term exam _______, almost everyone in our class is devoted to their studies.A. approachesB. is approachingC. approachingD. to be approachingSECTION B （12 marks）Directions: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.AA crossing guard attracted my attention. He offered me a puzzle – all because he waved me like someone does 36 seeing a close friend. A big smile accompanied his wave. For the next few days I tried to study his face to see if I knew him. I didn’t. Perhaps he had 37 me for someone else. By the time I was sure that he and I were strangers, we were still greeting each other warmly.Then one day the 38 was solved. As I 39 the school he was standing in the middle of the road holding out his stop sign. I was in line behind five cars. Once the kids had reached the safety of the sidewalk, he lowed his sign and let the cars40 . To the first he waved and smiled in just the same way he had done to me over the last few days. The kids already had the window down and were happily waving their reply. The second car got the same 41 from the crossing guard, and the driver, a stiff-looking（表情刻板的）businessman, gave a brief , 42 wave back. Each following car of kids on their way to school responded more warmly.Every morning I continued to watch the man with 43 . So far I haven’t seen anyone _44_ to wave back. I find it interesting that one person can make such a(n) _45_ to so many people’s lives by doing one simple thing like waving and smiling warmly. His 46 armed the start of my day. With a friendly wave and smiling face he had changed the 47 of the whole neighborhood.36. A. from B. during C. about D. on37. A. blamed B. mistaken C. praised D. respected38. A. argument B. disagreement C. mystery D. task39. A. visited B. approached C. passed D. left40. A. through B. in C. out D. down41. A. idea B. reply C. notice D. greeting42. A. awkward B. angry C. wonderful D. patient43. A. surprise B. frustration C. interest D.doubt44. A. fail B. try C. wish D. bother45. A. offer B. sacrifice C. promise D.difference46. A. effectiveness B. cheerfulness C. carefulness D. seriousness47. A. trends B. observations C. regulations D. feelingsSECTION C （8 marks）BHumans need plants. _48 do all animals. Man’s relationship with plants has actually made 49 possible for us to have a civilization. Before we had cities, humans went around in little packs and were hunter-gatherers. We ate rats, birds and 50 food we could find. It wasn’t very efficient. One day someone had a bright idea to grow the plants we liked. The idea resulted _51 the possibility that people stayed in one place long. Then came cities and a huge system of agriculture to support millions of people.52 time has passed, we have taken farming to new levels. We have controlled species to create big apples. We are moving towards the genetic （基因）change of plants, _53 . We are trying to make special plants, 54 can protect themselves from disease and insects. These stronger plants will allow our crops to give us _55 food from the same amount of space.PART THREE READING COMPREHENSION （15 marks）Directions: Read the following passage. Fill in the numbered blanks by using theinformation from the passage.ATime spent in a bookshop can be most enjoyable, whether you are a book-lover or merely there to buy a book as a present. You may even have entered the shop just to find shelter from a sudden shower. Whatever the reason is, you can soon become totally unaware of your surroundings. You soon become lost in some books or others, and usually it is only much later that you realize you have spent too much time there and must get away to keep some forgotten work.This opportunity to escape from the realities of everyday life is the main attraction of a bookshop . A music shop is very much like a bookshop. You can wander around such places to your heart’s content. If it is a good shop, no assistant will approach you with the usual greeting “Can I help you?” You needn’t buy anything you don’t want. In a booksh op an assistant should remain in the background until you have finished reading. Then, and only then, are his services necessary.Once a medical student had to read a textbook which was far too expensive for him to buy. He couldn’t get it from the library and the only copy he could find was in a certain bookshop. Every afternoon, therefore, he would go along to the shop and read a little of the book at a time. One day, however, he was disappointed to find the book missing from its usual place. He was about to leave, when he noticed the owner of the shop waving to him. Expecting to be told off, he went towards him. To his surprise, the owner pointed to the book which was hidden away in the corner. “ I put it there in case anyone wanted to buy it!” said the ow ner, and the owner left the delighted student to continue his reading.56. You may spend a long time in a bookshop because ___________.A. it is raining outsideB. the books are very attractiveC. you start reading one of the booksD. you don’t have to buy a book you don’t want.57. In a good bookshop _____.A. the assistant greets you in a friendly wayB. nobody takes any notice of youC. your heart is contentedD. you feel that you are in a music shop58. The medical student went to the bookshop every day to ______.A. see if the book he wanted was in its usual placeB. read the book without buying itC. talk with the shop ownerD. try to get the textbook59. The textbook the medical student was interested in was hidden away in a corner ______.A. to prevent anyone from buying itB. because the medical student might take it awayC. in case the medical student tried to buy itD. because the medical student didn’t like it60. The medical student was surprised because________.A. he saw the owner waving to himB. the book wasn’t in its usual placeC. he had expected the owner to be angry with himD. he was about to leaveBDo you like to turn off the lights and heaters when you go out of a room? In 2040 it will not matter. They will turn themselves off and on again when you return. You will choose the temperature for each room, the lighting and humidity. A sensor will find the presence of a human and turn the systems on, and when the humans leave it will turn them off again.The sensors will work through the central home computer, and they will do much more than just turn the fires and lights on and off for you. They will find faulty electrical appliances (电器), plugs or switches, separate them so that they cannot harm anyone, and then warn you that they need repair. They will detect (发现)fire, and if you are out of the house, the computer will call the fire brigade（消防队）. It will not be too difficult because the locks on the outside doors will be electronic.You will open them using your personal card——the one you use for shopping ——maybe using a number only known to you.It will be impossible to lose the key, and a housebreaker will have to tamper (拨弄) with the lock or with the window.The computer will be more than a fireman-policeman –servant. It will be an entertainer, and most of your entertainment will come right into your house. It does now, of course, but by 2040“entertainment”will mean much more. For one thing, you will be able to take part actively, rather than just watching.61. The author intends to tell us that_______.A. in 2040 we will use much more lights and heatersB. in 2040 we will live without the lights and heatersC. in 2040 lights and heaters will be on and off automaticallyD. in 2040 there will be no switches of lights and heaters62. Which of the following statements is not true?A. The sensor has many functions.B. Without a computer, the sensor can’t do much.C. You can be taken for a housebreaker if you tamper with the lock or the window.D. The sensor will detect fire and make an emergency call.63. According to the passage, in 2040, new technology ________.A. will free us from the keys we use todayB. will turn everything into sensorsC. will make the locks out of dateD. will get rid of all crimes64. Thanks to computers, in 2040, people_________.A. will have no entertainment outsideB. will replace TV with computersC. will be controlled by computersD. will have more fun at home65. The best title of the passage might be______.A. Sensors and ComputersB. Life at Home in the Year 2040C. The Development of Science and TechnologyD. Lights and Heaters in the Year 2040CDifferent countries and different people have different manners. We must find out their customs, so that they will not think us ill-mannered. Here are some examples of the things that a well-mannered person does or does not do.If you visit a Chinese family you should knock at the door first. When the door opens, you’ll not move before the host says“Come in , please.” After you enter the room, you wouldn’t sit down until the host asks you to take a seat. When a cup of tea is put on a tea-table before you or sent to your hand, you’ll say,“ Than k you. ”and receive it with your two hands, not one hand, or they will think you are ill-mannered. Before entering a house in Japan, it is good manners to take off your shoes. In European countries, even though shoes sometimes become very dirty, this is not done. In a Malay house, a guest never finishes the food on the table. He leaves a little to show that he has had enough. In England, a guest always finishes a drink or the food to show that he has enjoyed it. This will make the host, especially the hostess, pleased.66.We must find out what the different manners are in different countries so that__________________.A. they won’t think we are illB. we won’t be badly treatedC. we can think of some examples laterD. we can know what to do and what not to do when we are there67. In China, when a host opens the door, ____ before he says “Come in, please!”A. you won’t leaveB. you won’t walkC. you won’t get inD. you won’t stand at the door68. In Japan, it is good manners to take off your shoes_________.A. before your host enters your houseB. before you enter your host’s houseC. before you visit a familyD. before you sit down and receive a cup of tea69. In European countries, ________ when you get into a house.A. you needn’t take off your shoesB. you must take off your dirty shoesC. you are not allowed to wear dirty shoesD. you should put on clean shoes70. In a Malay house, a guest leaves a little food_______.A. to show that he has enjoyed itB. to show that he isn’t hungry at allC. to show that he can’t have any moreD. to show that he needs some drink PART FOUR WRITINGSECTION A (10 marks)ADirections: Read the following passage. Fill in the numbered blanks by using the information from the passage.Write NO MORE THATN THREE WORDS for each answer. (10分)Retirement is the time to enjoy your hobbies and interest actively. A hobby notonly gives a certain direction to the life of a retired individual but also allows him to relax and experience joy.Reading is one of the most common hobbies that retired people pursue. Not only does it transport you to a different world, but reading is also a form of relaxation. Reading broadens your scope of knowledge and also builds your vocabulary.Bird watching is another interesting hobby loved by many retired people. There are many clubs that you can join through which you can enjoy learning about different kinds of birds. Many people watch birds and then write down their experience along with pictures of various birds.Sky gazing or star gazing is a hobby that many senior citizens like to pursue. Before you pursue your hobby , it is wise to read some books about astronomy (天文学) and space. You can also surf the Internet and learn about the basics of astronomy. You can also visit a planetarium (天文馆) which is a great place to learn more about stars, and the solar system. Once you have a basic understanding of the sky, you can join sky/ star gazing clubs or buy a telescope through which you can get the best view of the sky.Reading and writing poems can also be a good hobby to choose. You can pursue your hobby by reading a few famous classic poems. Writing your thoughts down also helps you to write good poems. Studying poetry, understanding it and reading more and more poems is the way people can develop this hobby and gain more joy than getting your work published.Age is never a limit to learning anything new. Develop a child-like curiosity and learn to develop your hobbies so that you can have fun.SECTION B( 5 marks )Directions: Read the following passage. Answer the questions according to the information given in the passage and the required words limit. （5 marks）“To say that this is a dream which has come true isn’t really good enough, because this is too big and it feels wonderful .” 35-year-old Sammy Gitau said on his graduation ceremony. Sammy received his master’s degree from Manchester University, one of Britain’s top educational institutions. To get there, Sammy took a journey far greater than the 4,400 miles between Manchester and the Kenyan Slum(肯尼亚贫民窟) where he lived a life of extreme poverty.Sammy’s formal schooling was limited to just a few years. His father was killed when Sammy was 13. To support his mother and 10 brothers and sisters, Sammy turned to drug dealing (贩毒) . Then, one day, while searching in the garbage in a middle class suburb, Sammy found something more valuable than gold: a Manchester University booklet. He dreamed that one day he would be able to study there. Though it was much too large a dream for him at that time , Sammy wanted to give it a try.Sammy decided to change. He created anti-drug projects and community resource centers. With a handful of volunteers he taught special skills, including carpentry(木工), baking and tailoring, helping 20,000 Kenyan slum kids along the way.Sammy’s work caught the attention of international development organizations, which started to offer him advice and resources. To one of the Europeans he worked with, he talked about the dream that he had put on the shelf long ago. His friend helped contact Manchester University’s Dr. Pete Mann.The university offered Sammy’s scholarship and he worked very hard to complete his education.Last week, when Sammy received his master’s degree in international development project management, Dr. Mann said, “ It really is a remarkable achievement.”Sammy Gitau, a once dead-end kid who had a dream, sees it this way: “ We have people in the slums that are just like me. Now they can say, “I want to become like Sammy, or go further .” Now they know that they can dream big.”81.What life did Sammy live in Kenyan slum? ( No more than 5 words ) (1 分)___________________________________________________________82.When did he swear to change his fate (命运)? ( No more than 7 words ) (2分）___________________________________________________________83.What goal did he achieve last week? ( No more than 10 words ) (2分）——————————————————————————————C短文写作（15分）：假设你叫刘爱华，你的英国笔友Jack来信向你请教学好中文的方法。

衡阳八中、永州四中、郴州一中湘南三校联盟2015-2016年度高一年级理科分班联考综合检测文科综合（试题卷）注意事项：1.本卷共题，满分100分，考试时间为60分钟。

2.考生领取到试卷后，应检查试卷是否有缺页漏页，重影模糊等妨碍答题现象，如有请立即向监考老师通报。

3.考区填写：衡阳八中 A1 永州四中 A2 郴州一中 A34.分数线通告：经过三校命题组联合商议，三校的分数线分别如下：1.（本题满分22分）阅读图文资料，完成下列题目。

马拉开波湖，水深平均达20多米，该湖有南美洲聚宝盆的美誉，渔业资源丰富，同时有石油湖之称。

为开采石油，湖底遍布石油管线，50多年前人们开始将连接外海的水道拓宽、挖深，并定期清淤，以便大吨位的货轮和油轮驶入湖区装载石油及产品。

20世纪90年代中国石油与当地政府合作，开始在马拉开波湖投资开采石油。

（1）简要分析马拉开波湖渔业资源丰富的自然原因。

（6分）（2）试分析图示地区吸引中国石油投资开采石油的优势条件。

（10分） （3）对于该湖区未来经济发展，有人主张在湖区继续开采石油，发展石化工业，也有人主张应该取缔石油开采及相关产业而发展渔业。

你支持哪种观点？请说明理由。

（6分）2.（本题满分12分）阅读材料，回答问题。

材料一：2015年8月10日上午，浙江省嘉兴市嘉善县经济开发区某电子科技公司楼顶的边缘，28名男女试图采取集体跳楼这种极端方式来解决与公司的经济纠纷。

时下，农民工绞尽脑汁，频出奇招讨薪，实属无奈、无助之举。

社会在同情这不断上演的一幕幕让人无法直视的悲情剧之余，更需要反思，该如何努力，让民工同样有尊严地劳动，并获得合法的劳动报酬，让农民工不再采用“奇招”讨薪。

材料二：在发展主义的汹涌潮动中，地方政府往往将”资本“置于特别优先的位置。

亲商、安商、富商，在劳动关系的协调和劳资矛盾的处置中，权力的天平很自然地向着资本倾斜。

在优胜劣汰的过度竞争中，社会大众大都将“成功“视为脱离底层生活的标识。

高一英语（模块三）（试题卷）本试卷由试题卷、答题卷和答题卡三部分组成。

试卷分四个部分，共8页。

时量120分钟。

满分100分。

所有试题均须在答题卷和答题卡上作答，做在试题卷上的答案无效。

第一部分：听力技能（共两节，满分20分）第一节（共5小题；每小题1分，满分5分）请听下面5段对话，选出最佳选项。

1. When did the woman leave for here this morning?A. At 8:30.B. At 8:40.C. At 9:00.2. What can we learn about the man?A. He is thinking about what kinds of gifts to buy.B. He will bring some gifts to China.C. He will go back home in half a month.3. What is the relationship between the speakers?A. Salesperson and customer.B. Desk clerk and guest.C. Taxi driver and passenger.4. What is the man?A. A librarian.B. A university student.C. A university teacher.5. Where does the woman work?A. In a hospital.B. In a hotel.C. In a shop.第二节（共12小题；每小题1分，满分12分）听下面一段对话，回答第6至第8三个小题。

6. What kind of apartment does the man want to rent?A. A three-bedroom one.B. A one-bedroom one.C. A two-bedroom one.7. How many questions does the woman ask the man?A. Three.B. Two.C. One.8. What can we learn from the conversation?A. The woman works in a travel agency.B. The man wants to live near the university.C. The woman is studying in the university.听下面一段对话，回答第9至第11三个小题。

第一部分听力（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。

每段对话读两遍。

1.How does the man feel about the movie?A. He only likes its story.B. He likes it very muchC. He doesn't like it at all.2.What will the man do with his old computer?A. Sell it to the woman.B. Give it to his brother.C. Keep it himself.3.What's the probable relationship between the two speakers?A. Mother and sonB. Brother and sisterC. Teacher and student4.What does the man eat at last?A. An appleB. A bananaC. A pear5.Where is the man's father?A. In his studyB. In the garageC. In his room第二节（共15小题；每小题1分，满分15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。

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。

听下面一段对话，回答第6和第7两个小题。

6.Where are the two speakers looking at the list of great restaurants?A. In the newspaper B .In a magazine C. On the Internet7.What type of food does Dave like?A. Thai foodB. Japanese foodC. Indian food听下面一段对话，回答第8至第10三个小题。

衡阳八中、永州四中、郴州一中湘南三校联盟2015-2016年度高一年级文科分班联考综合检测理科综合（试题卷）注意事项：1.本卷共题，满分100分，考试时间为60分钟。

2.考生领取到试卷后，应检查试卷是否有缺页漏页，重影模糊等妨碍答题现象，如有请立即向监考老师通报。

3.考区填写：衡阳八中 A1 永州四中 A2 郴州一中 A34.分数线通告：经过三校命题组联合商议，三校的分数线分别如下：1.（本题满分10分）一质点从静止开始以1 m/s 2的加速度做匀加速运动，经过5 s 后做匀速运动，最后2 s 的时间使质点匀减速到静止，则 （1）质点匀速运动时的速度为多大？ （2）减速运动时的加速度为多少？2.（本题满分10分）如图所示，质量为2kg 的物体放在水平地板上，用一原长为8cm 的轻质弹簧水平拉该物体，当其刚开始运动时，弹簧的长度为11cm ，当弹簧拉着物体匀速前进时，弹簧的长度为10.5cm ，已知弹簧的劲度系数k ＝200N/m 。

求：(1)物体所受的最大静摩擦力为多大？ (2)物体所受的滑动摩擦力为多大？(3)物体与地板间的动摩擦因数是多少？(g 均取10m/s 2)3.（本题满分8分）如图甲所示是某同学探究加速度与力的关系的实验装置。

他在气垫导轨上安装了一个光电门B ，滑块上固定一遮光条，滑块用细线绕过气垫导轨左端的定滑轮与力传感器相连，传感器下方悬挂钩码，每次滑块及遮光条都从位置A 处由静止释放。

（1）该同学用游标卡尺测量遮光条的宽度d ，如图乙所示，则d ＝________mm 。

（2）实验时，将滑块从A 位置由静止释放，由数字计时器读出遮光条通过光电门B 的时间t ，若要得到滑块的加速度，还需要测量的物理量是___________________。

（3）改变钩码质量，读出对应的力传感器的示数F 和遮光条通过光电门的时间t ，该同学已经将实验中的数据描入了图丙所示F 一坐标系中，请你用一平滑的曲线将各点连接 起来。

衡阳八中、永州四中、郴州一中湘南三校联盟2015-2016年度高一年级理科分班联考综合检测文科数学（试题卷）注意事项：1.本卷共22题，满分150分，考试时间为120分钟。

2.考生领取到试卷后，应检查试卷是否有缺页漏页，重影模糊等妨碍答题现象，如有请立即向监考老师通报。

3.考区填写：衡阳八中 A1 永州四中 A2 郴州一中 A34.分数线通告：经过三校命题组联合商议，三校的分数线分别如下：一.选择题（每题5分，共60分。

在每题后面所给的四个选项中，只有一个是正确的。

）1.设集合，，，则中元素的个数是A．3 B．4 C．5 D． 6 2.下列函数在（﹣∞，0）∪（0，+∞）上既是偶函数，又在（0，+∞）上单调递增的是A．y=﹣x2B．y=x﹣1C．y=log2|x| D．y=﹣2x3.直线x+y﹣1=0的斜率为A． B．C．﹣D．﹣4.过直线x+y=0上一点P作圆C：（x+1）2+（y﹣5）2=2的两条切线l1，l2，A，B为切点，当CP与直线y=﹣x垂直时，∠APB=A．30° B．45°C．60°D．90°5.平行线3x+4y﹣9=0和6x+my+2=0的距离是A．B．2 C．D．6.一个正方体内接于半径为R的球，则该正方体的体积是A．2R3B．πR3C．R3 D．R37.三棱锥P﹣ABC的侧棱PA，PB，PC两两互相垂直，且PA=PB=PC=2，则三棱锥P﹣ABC的外接球的体积是A．2πB．4πC．πD．8π8.已知函数f（x）=，若f[f（0）]=a2+4，则实数a=A．0 B．2 C．﹣2 D．0或29.已知m，n是两条直线，α，β是两个平面，有以下命题：①m，n相交且都在平面α，β外，m∥α，m∥β，n∥α，n∥β，则α∥β；②若m∥α，m∥β，则α∥β；③若m∥α，n∥β，m∥n，则α∥β．其中正确命题的个数是A．0 B．1 C．2 D．310.圆心为C（6，5），且过点B（3，6）的圆的方程为A．（x﹣6）2+（y﹣5）2=10 B．（x﹣6）2+（y+5）2=10C．（x﹣5）2+（y﹣6）2=10 D．（x﹣5）2+（y+6）2=1011.已知圆的方程为x2+y2﹣6x﹣8y=0，设圆内过点（2，5）的最长弦与最短弦为分别为AB、CD，则直线AB与CD的斜率之和为A．0 B．﹣1 C．1 D．﹣212.定义域为R的函数f（x）满足f（x+2）=2f（x）﹣2，当x∈（0，2]时，f（x）=，若x∈（0，4]时，t2﹣≤f（x）≤3﹣t恒成立，则实数t的取值范围是（）A．[2，+∞） B． C．D．[1，2]二.填空题（每题5分，共20分）13.已知函数，那么= ．14.在四棱柱ABCD﹣A′B′C′D′中，AA′⊥底面ABCD，四边形ABCD为梯形，AD∥BC且AD=AA′=2BC．过A′，C，D三点的平面与BB′交于点E，F，G分别为CC′，A′D′的中点（如图所示）给出以下判断：①E为BB′的中点；②直线A′E和直线FG是异面直线；③直线FG∥平面A′CD；④若AD⊥CD，则平面ABF⊥平面A′CD；⑤几何体EBC﹣A′AD是棱台．其中正确的结论是．（将正确的结论的序号全填上）15.已知球面上有A、B、C三点，如果AB=AC=BC=2，球心到面ABC的距离为1，那么球的体积．16.已知圆C的圆心是直线x+y+1=0与直线x﹣y﹣1=0的交点，直线3x+4y﹣11=0与圆C相交于A，B两点，且|AB|=6，则圆C的方程为．三.解答题（共6题，共70分）17.（本题满分10分）已知A={x|x2≥9}，B={x|﹣1＜x≤7}，C={x||x﹣2|＜4}．（1）求A∩B及A∪C；（2）若U=R，求(A∩∁)U（B∩C）18.(本题满分10分)已知平面内两点A（8，﹣6），A（2，2）．（Ⅰ）求AB的中垂线方程；（Ⅱ）求过P（2，﹣3）点且与直线AB平行的直线l的方程．A B C 控制线衡阳八中132 109 78 58郴州一中119 92 66 42永州四中127 103 75 5519.（本题满分11分）如图，正方形ADEF与梯形ABCD所在的平面互相垂直，AD⊥CD，AB∥CD，AB=AD=2，CD=4，M为CE的中点．（I）求证：BM∥平面ADEF；（Ⅱ）求证：平面BDE⊥平面BEC．20.（本题满分12分）已知⊙O：x2+y2=1和定点A（2，1），由⊙O外一点P（a，b）向⊙O引切线PQ，切点为Q，且满足|PQ|=|PA|．（1）求实数a，b间满足的等量关系；（2）求线段PQ长的最小值；（3）若以P为圆心所作的⊙P与⊙O有公共点，试求半径最小值时⊙P的方程．21.（本题满分13分）长方体ABCD﹣A1B1C1D1中，，AB=BC=2，O是底面对角线的交点．（Ⅰ）求证：B1D1∥平面BC1D；（Ⅱ）求证：A1O⊥平面BC1D；（Ⅲ）求三棱锥A1﹣DBC1的体积．22.（本题满分14分）已知函数f（x）=log3．（Ⅰ）求函数f（x）的定义域；（Ⅱ）判断函数f（x）的奇偶性；（Ⅲ）当x∈[﹣，]时，函数g（x）=f（x），求函数g（x）的值域．2015-2016年度湘南三校联盟文科入学联考数学参考答案一.选择题（每题5分，共60分） 题号 1 2 3 4 5 6 7 8 9 10 11 12 答案BCCCBCBBB A A D二.填空题（每题5分，共20分） 13.3.5 14.①③④⑤ 15. 16.x 2+（y+1）2=18三.解答题（共70分）17.（1）集合A 中的不等式解得：x ≥3或x ≤﹣3，即A={x|x ≥3或x ≤﹣3}； 集合C 中的不等式解得：﹣2＜x ＜6，即C={x|﹣2＜x ＜6}， ∴A ∩B={x|3≤x ≤7}，A ∪C={x|x ≤﹣3或x ＞﹣2}； （2）∵B ∩C={x|﹣1＜x ＜6}，全集U=R ， ∴∁U （B ∩C ）={x|x ≤﹣1或x ≥6}，18.（I ）线段AB 的中点为即（5，﹣2），∵k AB ==﹣，∴线段AB 的中垂线的斜率k=，∴AB 的中垂线方程为y+2=（x ﹣5），化为3x ﹣4y ﹣23=0． （II ）过P （2，﹣3）点且与直线AB 平行的直线l 的斜率为﹣． 其方程为：y+3=（x ﹣2），化为4x+3y+1=0．19.（I ）取DE 中点N ，连接MN ，AN 在△EDC 中，M ，N 分别为EC ，ED 的中点 ∴MN ∥CD ，且MN=CD ，由已知中AB ∥CD ，AB=AD=2，CD=4， ∴MN ∥AB ，且MN=AB ∴四边形ABMN 为平行四边形 ∴BM ∥AN又∵AN ⊂平面ADEF BM ⊄平面ADEF ∴BM ∥平面ADEF （II ）∵ADEF 为正方形 ∴ED ⊥AD又∵正方形ADEF 与梯形ABCD 所在的平面互相垂直，且ED ⊂平面ADEF ∴ED ⊥平面ABCD ∴ED ⊥BC在直角梯形ABCD 中，AB=AD=2，CD=4，可得BC=2在△BCD 中，BD=BC=2，CD=4∴BC ⊥BD ∴BC ⊥平面BDE 又∵BC ⊂平面BEC ∴平面BDE ⊥平面BEC 20.（1）连接OQ ，∵切点为Q ，PQ ⊥OQ ，由勾股定理可得 PQ 2=OP 2﹣OQ 2． 由已知PQ=PA ，可得 PQ 2=PA 2，即 （a 2+b 2）﹣1=（a ﹣2）2+（b ﹣1）2． 化简可得 2a+b ﹣3=0．（2）∵PQ====，故当a=时，线段PQ 取得最小值为．（3）若以P 为圆心所作的⊙P 的半径为R ，由于⊙O 的半径为1，∴|R ﹣1|≤PO ≤R+1．而OP===，故当a=时，PO 取得最小值为，此时，b=﹣2a+3=，R 取得最小值为﹣1． 故半径最小时⊙P 的方程为 +=．21.（Ⅰ） 证明：依题意：B 1D 1∥BD ，且B 1D 1在平面BC 1D 外．（2分） ∴B 1D 1∥平面BC 1D （3分） （Ⅱ） 证明：连接OC 1 ∵BD ⊥AC ，AA 1⊥BD ∴BD ⊥平面ACC 1A 1（4分）又∵O 在AC 上，∴A 1O 在平面ACC 1A 1上 ∴A 1O ⊥BD （5分） ∵AB=BC=2∴∴∴Rt △AA 1O 中，（6分）同理：OC 1=2∵△A 1OC 1中，A 1O 2+OC 12=A 1C 12∴A 1O ⊥OC 1（7分） ∴A 1O ⊥平面BC 1D （8分）（Ⅲ）解：∵A 1O ⊥平面BC 1D ∴所求体积（10分）=（13分）22.（I ）要使函数f （x ）=log 3的解析式有意义，自变量x 须满足：＞0，解得x ∈（﹣1，1），故函数f （x ）的定义域为（﹣1，1）， （II ）由（I ）得函数的定义域关于原点对称，且f （﹣x ）=log 3=log 3（）﹣1=﹣log 3=﹣f （x ）．故函数f （x ）为奇函数， （III ）当x ∈[﹣，]时，令u=，则u ′=﹣＜0，故u=在[﹣，]上为减函数，则u ∈[，3]，又∵g （x ）=f （x ）=log 3u 为增函数， 故g （x ）∈[﹣1，1]，故函数g （x ）的值域为[﹣1，1]．。

湖南省衡阳八中2013-2014学年高一下学期期末考试英语试题考生注意：本试卷分为四个部分，包括听力、语言知识运用、阅读理解和书面表达，满分100分，时量120分钟，请将答案写在答题卷上。

PART ONE LISTENING PREHENSION（共20小题；每小题1分，满分20分）SECTION ADirections: In this section, you’ll hear 6 conversations between 2 speakers. For each conversat ion, there are several questions and each question is followed by 3 choices. Listen to the conversations carefully and then answer the questions by marking the corresponding letters (A,B or C) on the question booklet. You will hear each conversation TWICE.Questions 1 through 2 are based on the following conversation.1. How long was the woman on the phone?A. For a few hours.B. All night.C. All morning.2. What does the man advise the woman to do?A. Get a new phone.B. Talk less on the phone.C. Add call waiting. Questions 3 through 4 are based on the following conversation.3. What does the man like most about the house?A. The design.B. The location.C. The price.4. How much discount can the woman give the man?A. 5%.B. 10%.C. 20%.Questions 5 through 6 are based on the following conversation.5. How often do the speakers do a general cleaning?A. Every day.B. Once a week.C. Twice a week.6. What will the man’s group do?A. Clean the windows.B. Sweep the floor.C. Paint the wall. Questions 7 through 9 are based on the following conversation.7. What is probably the man’s major?A. Physics.B. History.C. English.8. What does the woman say about “History of Music”?A. It sounds boring.B. The class was full.C. She took it in high school.9. What do we know about the woman?A. She has changed her major.B. She has never taken Spanish.C. She has a great interest in movies.Questions 10 through 12 are based on the following conversation.10. What is the probable relationship between the speakers?A. Classmates.B. Colleagues (同事).C. Strangers.11. How many children are there in the woman’s family?A. Ten.B. Eleven.C. Twelve.12. What does the woman’s father do?A. An airport worker.B. A taxi driver.C. A food store owner. Questions 13 through 15 are based on the following conversation.13. What happened at the beginning of the game?A. Seattle took a big early lead.B. The fans became crazy.C. Washington had a good start.14. What did the player of Washington hurt?A. His finger.B. His knee.C. His head.15. What did the Washington’s coach do?A. He let the injured player stay in the game.B. He replaced the injured player.C. He took out some of his best players.SECTION BDirections: In this section, you will hear mini-talk. Listen carefully and then fill in the numbered blanks with the information you’ve got. Fill in each blank with NO MORE THAN 3 WORDS. You’ll hear the mini-talk TWICE.Blanks 16 through 20 are based on the following talk.Students’ Attitude to Musi cPART TWO LANGUAGE KNOWLEDGESECTION A （共10小题；每小题1分，满分10分）Directions: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best pletes the sentence.21. One-third of the country _____ covered with trees and the majority of the citizens _____ black people.A. is; areB. is; isC. are; areD. are; is【考点】主谓一致【答案】A【解析】句意：这个国家三分之一的面积被树覆盖着，大多数居民是黑人。

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班）注意事项:1.本卷为衡阳八中高一年级文科实验班第一次月考试卷，分两卷。

其中共72题,满分150分,考试时间为120分钟。

2.考生领取到试卷后，应检查试卷是否有缺页漏页，重影模糊等妨碍答题现象，如有请立即向监考老师通报。

开考前15分钟后,考生禁止入场，监考老师处理余卷。

3.请考生将答案填写在答题卡上，选择题部分请用2B铅笔填涂，非选择题部分请用黑色0。

5mm 签字笔书写.考试结束后,试题卷与答题卡一并交回。

★预祝考生考试顺利★第I卷选择题（共100分)一.听力（每题1.5分，共30分）【已省略】二.阅读理解（每题2分，共40分）第一部分阅读下面的文章，从每题后面所给的四个选项中选出正确的一项。

AI was desperately nervous about becoming car—free. But eight months ago our car was hit by a passing vehicle and it was destroyed。

No problem, I thought： we'll buy another. But the insurance payout didn't even begin to cover the costs of buying a new car—I worked out that, with the loan （贷款) we’d need plus petrol, insurance，parking permits and tax, we would make a payment as much as £600 a month。

衡阳八中永州四中2016年上期高一年级文科实验班第一次联考英语（试题卷）注意事项：1.本卷共72题，满分150分，考试时间为120分钟。

2.考生领取到试卷后，应检查试卷是否有缺页漏页，重影模糊等妨碍答题现象，如有请立即向监考老师通报。

第一部分听力（每题1.5分，共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。

1.What’s t he woman crazy about?A. The bad traffic in the morning.B. The early working time in her office.C. The construction in front of the building.2.What is the woman doing?A. Recommending some places to the man.B. Asking for advice from the man.C. Leaving on her trip to Asia.3.What is the man going to do?A. Talk to more soldiers.B. Organize the information.C. Collect more information.4.What will the speakers do tonight?A. Prepare for an exam.B. Go to a celebration.C. Go to a hospital.5.Where does the conversation most probably take place?A. At a clinic.B. At a furniture store.C. In a gym.第二节听下面5段对话。