江苏省海安高级中学2016届高三第一学期调研考试英语试卷-含答案 【高考模拟试题】
海安中学2015-2016学年第一学期调研考试高三英语试卷命题、校对：谢勇第I卷（选择题, 共85分）第一部分：听力(共两节，满分20分)做题时，先将答案标在试卷上。
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客观题答题卡上。
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. When is Je ssica’s Birthday?A. September 8.B. September 9.C. September 10.2. Which hotel does the woman live in now?A. China Great Hotel.B. Holiday Inn.C. Hilton.3. Why will the woman not go to the zoo tomorrow?A. The man’s son is too youn g.B. The weather is unpleasant.C. I t’ll rain heavily.4. Where does the conversation take place most probably?A. At a bus stop.B. At a railway station.C. In a bank.5. When did the man arrive?A. 8:00.B. 8:30.C. 8:45.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至8题。
6. Where does this talk take place probably?A. In the street.B. At a shoe shop.C. On the bus.7. Why does she think of buying Tom a pair of iron shoes?A. Because Tom’s shoes were easily worn out.B. Because Tom likes iron shoes.C. Because Tom asked the woman to buy him a pair of iron shoes.8. What kind of shoes did she buy at last?A. leather shoes.B. iron shoes.C. sports shoes.听下面一段对话，回答第9至11题。
9. Why did the woman go to London during the vacation?A. To learn English.B. To go sightseeing.C. To visit some teachers.10. How long did the woman stay in London?A. About 30 days.B. About 40 days.C. About 45 days.11. What did the woman like particularly about the English Classes?A. The teachers were nice and clever.B. The classes focused on writing.C. The students were quite free in class.听下面一段对话，回答第12至14题。
12. W hat’s the probable relationship between the speakers?A. Friends.B. Boss and Secretary.C. Shop owner and Customer.13. What are the gifts the man advises the woman to choose from?A. Postcards and some fruit.B. Hand-made vase and potteryC. Cotton hats and some food14. How much should the woman pay for the gift she picked?A. $80.B. $45.C. $60.听下面一段对话，回答第15至17题。
15. Where does the conversation take place?A. At an airport.B. On a plane.C. At a duty-free shop.16. What does the man think of prices of the items in the duty-free shop?A. Very high.B. Low.C. A little high.17. Which of the following is right?A. The man is certainly from Asia.B. The man appreciates the cleanness of the airport.C. It took him a long time to get through the Immigration.听下面一段独白，回答第18至20题。
18. What can we learn about the radio station?A. It opens twenty-four hours a day.B. It is on Montana at Seventh Street in Santa Monica.C. It includes advertising time for a coffee shop.19. What will the weather be like in the afternoon?A. Cloudy.B. Rainy.C. Fine.20. What can we learn about Santa Monica Beach?A. It is a good place for parking cars.B. It is a good place for surfing.C. It is a good place for swimming.第二部分：英语知识运用(共两节，满分35分)第一节单项填空(共15小题；每小题1分，满分15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，并在答题卡上将该项涂黑。
21. —I didn’t know you play the piano. It sounds wonderful!—Thank you! I ______ it when I worked in UK.A. learnedB. had learnedC. have learnedD. learn22. The manager is now in need of a capable assistant that he can ________ to take care of problems in hisabsence.A. count onB. count inC. count upD. count out23. _______ in running for head of the department, which most colleagues had not expected, made herparents very upset.A. Lucy was defeatedB. Lucy being defeatedC. Lucy’s been defeatedD. Lucy’s being defeated24. Fortunately enough, the old man was rushed to the hospital in time. Three minutes late, and he _______.A. would dieB. was to dieC. should have diedD. would have died25. When the Americans ______ to the British raising the tax rates, the British increased control over theirAmerican colonies, stationing soldiers there.A. submittedB. opposedC. objectedD. appealed26. —How do you find your new boss, you guys?—Oh, I think he has earned our wide respect _______ he treats us fairly and kindly.A. in thatB. so thatC. even thoughD. as though27. —What did he do in return for free ________ and food offered by the kind couple?—He helped their son with his lessons.A. conservationB.occupation C. accommodation D. immigration28. Katherine is not _______ in the way to treat her children. Sometimes she is too strict with them andsometimes she just allows them everything.A. conventionalB. consistentC. considerateD. controversial29. —What’s up? What’s that terrible noise from our upstairs neighbor?—The spoiled boy is yelling and screaming to ________, I guess.A. mend his wayB. get his wayC. push his wayD. feel his way30. It is ______ his tremendous enthusiasm and devotion that the old teacher is respected by all his students.A. on account ofB. with regard toC. in terms ofD. in reference to31. Many college students are willing to work in Western China after graduation ________, poor andbackward as it is, more opportunities of employment are available.A. whereB. whenC. thatD. which32. —The car is small. Is it safe?—Definitely. Tests suggest it is _________ safe than any other type of good car.A. no lessB. not lessC. no moreD. not more33. This was just the first stage of the robot design challenge, the finals _______ for 2016.A. will be setB. being setC. setD. having set34. —Have you heard that the Taiwan pop singer Jam Hsiao will perform in Shanghai at the end of thismonth?—Of course. All his fans are ______ to hear the exciting news.A. green with envyB. feeling blueC. tickled pinkD. white as a sheet35. —It’s so embarrassing when you can’t remember someone’s name.—_____A. So what?B. Take it easy.C. Why bother?D. I know the feeling.第二节完形填空(共20小题；每小题1分，满分20分)阅读下面短文，掌握其大意，然后从各题所给的A, B, C, D四个选项中，选出最佳选项，并在答题卡上将该选项涂黑。
江苏南通市海安高级中学2024-2025学年高三上学期9月月考试题 英语(含答案,含听力原文无音频)
英语试卷（考试时间：120分钟；总分：150分）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。
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，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. Who will the man go to the theme park with?A. His kids.B. His wife.C. His brother.2. What language does the man speak?A. Italian.B. Spanish.C. French.3. What does the man do?A. A doctor.B. An engineer.C. A salesperson.4. What does the man mean?A. He will go to the concert.B. He has to work on a paper.C. He's preparing for an experiment.5. What will the woman do tomorrow?A. Take a flight to Beijing.B. Have her teeth examined.C. Drive the man to the airport. 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。
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。
江苏省海安高级中学高三年级第一次统测英语试卷[特约]
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江苏省海安高级中学高三年级第一次统测2004.10.英语试卷本试卷分第一卷（选择题）和第二卷（非选择题）两部分。
共150分。
考试时间120分钟。
第一卷（三部分，共115分）第一部分：听力（共两节，满分30分）做题时，先将答案划在试卷上。
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，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题。
每段对话仅读一遍。
1. What is the woman' s advice?A. Boil the water.B. Take good care.C. Don't use too much ice.2. When does this conversation take place?A. At four-thirty.B. At five o'clock.C. At five-thirty.3. What would be the woman' s nationality?A. American.B. Russian.C. French.4. What do we know about the woman?A. She does not agree with the man.B. She thinks it better to wait.C. She prefers going to waiting.5. What are the two speakers probably doing?A. Doing some running.B. Climbing a hill.C. Taking a walk.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。
高三英语月考试题及答案-海安高级中学2016届高三上学期调研考试
海安中学2015-2016学年第一学期调研考试高三英语试卷命题、校对：谢勇第I卷（选择题, 共85分）第一部分：听力(共两节，满分20分)做题时，先将答案标在试卷上。
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客观题答题卡上。
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. When is Je ssica’s Birthday?A. September 8.B. September 9.C. September 10.2. Which hotel does the woman live in now?A. China Great Hotel.B. Holiday Inn.C. Hilton.3. Why will the woman not go to the zoo tomorrow?A. The man’s son is too youn g.B. The weather is unpleasant.C. It’ll rain heavily.4. Where does the conversation take place most probably?A. At a bus stop.B. At a railway station.C. In a bank.5. When did the man arrive?A. 8:00.B. 8:30.C. 8:45.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。
江苏省南通市海安县高级中学高中英语阅读理解练习题(有答案) 百度文库
一、高中英语阅读理解1．阅读理解During this shopping season, salesmen will come up with different strategies to get your business. Many product companies use specific colors to cause positive emotions and compete for a sale. However, sight is not the only sensory (感官的) retail that companies use. Sounds and smells can also influence consumers' purchasing decisions.Nobel Prize-winning research shows that our sense of smell has great power to cause an emotional response. A study published earlier this year compared purchasing in a French flower shop when the smell of lavender (薰衣草) was given off and when it wasn't. It found that the smell increased the number of consumers' purchasing items and the amount of their purchases. An earlier study using Nike shoes found that consumers desired the shoes more, and were willing to pay more, when the room had a mixed smell of flowers. Realizing the subconscious impact of smell, many stores apply artificial scents (气味) through their heating and air-conditioning vents (通风口) or place scent machines above their doors. For instance, a coconut scent might make that bikini more appealing as you long for a vacation.Ever felt frenzied due to a store's fast-paced music? Or calmed by a piece of light music? A retailer's choice of music can have a big impact on consumers' moods. One study found that when subjected to loud music, consumers will spend less time in a store. But interestingly, the researchers did not find a difference in sales or customers' satisfaction. Another interesting finding from a recent study was that customers actually shop longer when exposed to unfamiliar music. Just as department stores use different scents in certain departments, many use different music in some areas to appeal to varying consumers.Well, you could always leave the store and take a break, but the food court probably isn't your best choices as brands like Cinnabon and Panera Bread also use scents as part of their customers' experience. Online retailers (零售商) use a variety of other strategies to get your business, but you can always neglect those and enjoy the familiar scents of home.（1）The passage is mainly about ________.A. consumers' favorite sounds and smells while shoppingB. shopping malls' strategies for satisfying consumersC. some special services from super shopping mallsD. two factors affecting consumers' shopping decisions（2）What can be inferred from Paragraph 2?A. Decorating stores with flowers becomes a fashion.B. Shops with special smells can attract more consumers.C. Smells can actually help businessmen gain more profits.D. The products with a kind of special smell are more popular.（3）How does music have an effect on consumers?A. It controls consumers' desire for shopping.B. It influences how long consumers stay in a shop.C. It gives consumers the satisfaction of enjoying shopping.D. Whether consumers are willing to buy things depends on it.（4）Which of the following can replace the underlined word “frenzied” in Paragraph 3?A. Satisfied.B. Depressed.C. Surprised.D. Excited.（5）What does the writer try to express in the last paragraph?A. Online shopping is becoming more and more popular nowadays.B. People should spend more time at home with family members.C. People can choose to get rid of salesmen's promotion strategies.D. Smells and sounds are important for consumers' shopping experience.【答案】（1）D（2）C（3）B（4）D（5）C【解析】【分析】本文为说明文。
届江苏省海安市高上学期调考试英语试卷及答案(一)
届江苏省海安市高上学期调考试英语试卷及答案(一)近日，江苏省海安市高中阶段的第一学期调考试已经结束了，让人们期待的高考英语试卷和答案也已公布。
接下来，我们将逐一分析这些题目和答案的亮点和不足，以期帮助广大高中生更好地备战高考英语。
题目1：The Importance of Reading这道题目主要考察考生对阅读的理解能力。
文章指出，阅读对培养语言表达能力、扩大知识面、增强阅读兴趣等方面，都起到了非常重要的作用。
这道题目的答案应该包括以上内容，并且能够用适当的语言表述出来。
题目2：Social Networks, Friend-making and Communication本题目主要考察考生对社交媒体的理解和运用能力。
文章讲述了社交媒体对让人们更加便捷地交友、交流、发布信息等等方面所起的作用。
答案应该包括以上内容，并且可以给出举例和个人看法。
题目3：Natural Environments and Human Society本题目主要考察考生对自然环境和人类社会关系的理解能力。
文章讲述了自然环境对人类社会的重要性及其所产生的影响。
答案应该包含上述内容，并进一步讲述自然环境的保护和可持续利用方案。
总体而言，本次高中阶段的第一学期调考试英语试卷难度适中，涵盖面较广，主要考察考生的英语阅读理解及表达能力。
但是，该试卷某些题目涉及环保、交通等社会热点问题，答案不应仅限于表达个人看法，还应具有一定的客观性、完整性。
总体而言，我们应该从这次考试中总结经验，深入学习英语的知识，提高我们的英语水平，准备迎接高考的挑战。
2025届江苏省海安高级中学高三一诊考试英语试卷含解析
2025届江苏省海安高级中学高三一诊考试英语试卷注意事项：1．答题前，考生先将自己的姓名、准考证号填写清楚，将条形码准确粘贴在考生信息条形码粘贴区。
2．选择题必须使用2B铅笔填涂；非选择题必须使用0．5毫米黑色字迹的签字笔书写，字体工整、笔迹清楚。
3．请按照题号顺序在各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。
4．保持卡面清洁，不要折叠，不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。
第一部分（共20小题，每小题1.5分，满分30分）1．_______ you consider that the airline handled 80 million passengers last year, the accident figures are really very small.A．Unless B．WhenC．Before D．Though2．I will go to Beijing on business tomorrow, do you have anything ____ to your son studying in Peking University? A．to be taken B．to take C．taken D．being taken3．---Excuse me, could you tell me the time, please?---Sorry, I don’t have a watch with me.--- ___________A．Thanks a lot. B．What a pity.C．I’m sorry to hear that D．Thanks all the same4．I ________ my cellphone last night. Now the battery is running out.A．could have charged B．might chargeC．should have charged D．would charge5．_____ how to get along with others is very important in success.A．Know B．Known C．Having known D．Knowing6．Sometimes it seems to bother the teacher ______ all the students are being too quiet.A．how B．whatC．that D．where7．Taught in a more professional way, you _________ the swimming skill much better.A．might master B．would have masteredC．can have mastered D．could master8．_____ his homework in time, he had to stay up late into the night.A．Finishing B．Having finished C．To finish D．To have finished9．—I’m afraid I couldn’t go to your birthday party.I have a test next Monday.—Oh，！You’re my best friend and y ou must be there！A．go ahead B．come on C．you needn’t D．it doesn’t matter10．There was never any time for Kate to feel lonely, ________ she was an only child.A．ever since B．now thatC．even though D．as though11．Our country has launched a campaign to ban smoking in public places, which with some heavy smokers. A．concerns B．was concernedC．concerned D．is concerned12．She doesn’t speak our language, _____ she seems to understand what we say．A．for B．and C．yet D．or13．In order to make my composition clearer and smoother, my teacher asked me to _________ the unnecessary words and sentences.A．leave alone B．leave behindC．leave off D．leave out14．________ from J.K. Rowling’s book series of the same title, the “Harry Potter” movies are universal ly acknowledged as classics.A．Adapting B．Having adaptedC．Adapted D．To be adapted15．—Why does he wear a raincoat on sunny days?—Nor do I understand. He is ________.A．a wet blanket B．a lazy boneC．a black sheep D．an odd fish16．The books on the desk, covers are shiny, are prizes for us.A．which B．what C．whose D．that17．— Do you have any problems if you ______ this job?—Well, I’m thinking about the salary….A．offer B．will offer C．are offered D．will be offered18．-Who do you think is able to finish the job in two days?-It's hard to say. This would appear to be ________ for the relatively efficient.A．a sacred cow B．a Herculean task C．a Pandora's box D．a child's play19．---- Hi, Maria! I got the first place in the exam.---- ______ ! Everyone knows you cheated and you just copied Tony's.A．Congratulations B．Come on C．Good luck D．Cheer up.20．The Mid-Autumn Festival is ________ special holiday for most Chinese when ________ whole family will get together.A．the; the B．a; the C．a; a D．the; a第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。
2016届高三南京外国语学校南京金陵中学江苏海安高级中学测试(三校联考)英语
2016届英语试卷2016.5第一部分听力 (共两节，满分20分)做题时，先将答案标在试卷上。
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. Who is the man looking for?A. Tami.B. Dr. Maxwell.C. Alison Simpson.2. What will the woman probably do?A. Call the airline soon.B. Stay at home for a while.C. Leave for the airport before lunch.3. What does the man think of his current book?A. It’s exciting.B. It’s relaxing.C. It’s long.4. When does the man hope to see the woman?A. This afternoon.B. Tomorrow night.C. Tomorrow afternoon.5. What does the man mean?A. He didn’t put in any sugar.B. He added some natural flavors.C. He also thinks the coffee tastes strange.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。
江苏省南京市、盐城市2016届高三第一次模拟考试英语Word版含答案
市、市2016届高三年级第一次模拟考试英语试题第一部分听力（共两节，满分20分）做题时，先将答案标在试卷上。
录音容结束后，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 will the man do?A. Go to the office.B. See his boss off.C. Stay at home.2. What does the woman mean?A. The man should buy a typewriter.B. The man can have her typewriter.C. She wants to borrow a typewriter.3. What was the weather like yesterday?A. Cloudy.B. Rainy.C. Sunny.4. Why does Mary ignore the man according to the woman speaker?A. She isn’t fond of him.B. She is still angry with him.C. She is having trouble with work.5. Where does the conversation probably take place?A. At the airport.B. In the cafeteria.C. At the hotel.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。
2016届高三南外、金陵、海安中学三校联考英语答案
2016年南外、金中、海中三校联考英语试卷参考答案1—5 CBABA6—10 ACABC11—15 ABCCA16—20 BCBCB21—25 BADCC26—30 CAADB31—35 ABDCB36—40 CADBB 41—45 DCABD 46—50 ACDAC 51—55 ADBCB56—58 ADB59—61CDB62—65 ADBC66—70 CBACD71. Procedure(s) / Process / Steps72. Analyzing / Analysing73. exceeds / surpasses/ overtakes74. burying75. opposite / contrary76. control77. Failure / Lack / Absence78. made / accounted79. though / although80. focused81. Possible versions:A father’s concern that smartphone is depriving him of his precious family time does not stand alone. Favorable opinions as there are, the majority of Americans today view technology as hazardous. (31 words)【选“是”】However, no pains, no gains. The world evolves as human technology leaps forward, along whose process there is bound to be sacrifices. The definition of happiness may vary, but a more connected, convenient, and creative society is undeniably nothing a modern man wouldn’t have desired. With digital devices booming around, we are given so many choices that our minds have been freed to a degree our ancestors could never anticipated.That being said, to make sure technology doesn’t get in the way, you need to unplug from the information highway and share your journey with your family and friends from time to time. A balance between man and computers will lead to an ultimate happiness. (115 words)【选“否”】True, a high-tech world seems a new Eden, but it won’t last any longer than the old one. Putting down their phones, lifting up their misty eyes, and waking up at night, people suddenly realize that, with all their family living by, they are alone. Children forgot how and why they should return their parents’ love because it were never given; classic literature is left rotten on the shelves because no one bothers to look away from their screen.To stop yourself getting “high” instead of “happy”, read a book, go outdoors, or simply pay a visit to your parents. There are things to pursue in life other than thumbing up tweets. Enjoy a tech-free day and see what real happiness means. (122 words)听力录音原文：W: Hello, this is Dr. Maxwell’s office. My name is Tami. How may I direct your call?Text 2Text 3Text 4Text 5Text 6Text 7Text 8。
江苏省南通市海安高级中学2024-2025学年高三上学期期中学业质量监测数学试题(含答案)
2025届高三期中学业质量监测试卷数 学注意事项：1．答题前，考生务必将自己的姓名、准考证号填写在答题卡上．2．回答选择题时，选出每小题答案后，用铅笔把答题卡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．回答非选择题时，将答案写在答题卡上指定位置，在其他位置作答一律无效．3．本卷满分150分，考试时间为120分钟．考试结束后，将本试卷和答题卡一并交回．一、选择题：本题共8小题，每小题5分，共40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．已知复数，则实数（ ）A ．B ．C ．D ．2．已知集合，则（ ） A ．B ．C ．D ．3．在△中，，则（ ）A ．30°B ．45°C ．60°D ．135°4．函数的极大值为（ ）A ．4B ．0C ．1D ．45．在三棱锥中，，与平面所成角的大小为60°，则（ ）A ．1BCD ．26．曲线与的交点中，与轴最近的点的横坐标为（ ）A ．B ．C ．D ．7．在中，．若∥，则（ ）A ．B ．C ．D ．8．在正四棱柱中，，是线段上靠近的三等分点，过点与直线垂直的平面将正四棱柱分成两部分，则较大部分与较小部分的体积比为（ ）23iR m i+∈-m =32-23-2332{}{}0,1,2,3,6,1A B x x A ==-∈()A A B =I ð{}0,6{}3,6{}1,5-{}0,1,2ABC tan 2,tan 3A B ==C =()()23f x x x =--P ABC -2PA PB AB AC BC =====PC ABC PC =2sin y x =πsin 3y x ⎛⎫=- ⎪⎝⎭y 5π6-π6-π65π6ABCD Y (),2,1,AM MB BN NC AP xAB x AD x R ===+-∈AP MN x =172737471111ABCD A B C D -13AA AB =P 1CC C C PAA ．B ．2C ．D ．3二、选择题：本题共3小题，每小题6分，共18分．在每小题给出的选项中，有多项符合题目要求．全部选对的得6分，部分选对的得部分分，有选错的得0分．9．在空间中，设是三条直线，是三个平面，则下列能推出∥的是（ ）A ．B ．∥C ．D ．∥10．已知函数，则（ ）A ．的最大值为1B ．是曲线的对称中心C ．在上单调递减D ．的最小正周期为11．设为上的增函数，满足：，则（ ）A ．B ．为奇函数C ．D ．三、填空题：本题共3小题，每小题5分，共15分．12．已知函数的一个单调减区间为，则________，_________．13．在平面直角坐标系中，曲线上的两点满足，线段的中点在轴上，则点的横坐标为_________．14．已知圆的半径为2，点在圆上，点在圆内，且，则的最小值为_________．四、解答题：本题共5小题，共77分．解答应写出文字说明、证明过程或演算步骤．15．（13分）已知分别为△的内角的对边，且．（1）求；（2）若△，周长为6，试判断△的形状．16．（15分）3252,,a b c ,,αβγa b ,a c b c⊥⊥a ,,a bαβαβ⊂= ,,,a b αγβγαγβγ⊥⊥== ,,,a b c a αβαγβγ=== c()cos cos 2f x x x =()f x π,02⎛⎫⎪⎝⎭()y f x =()f x π0,2⎛⎫⎪⎝⎭()f x 2π()f x R ()()()()112,224f x f x f x f x ++-=++-=()33f =()f x ()000,1x R f x x ∃∈=+()()1,2x x R f ef x +∀∈-≥()()()sin 0,0f x x ωϕωϕπ=+><<π5π,1212⎡⎤-⎢⎥⎣⎦ω=ϕ=xOy ln y x =,A B OA OB ⊥AB M x M O ,A B O C O 1AB OC ==AB AC ⋅,,a b c ABC ,,A B C cos sin a C C b c =+A ABC ABC设抛物线的焦点为，准线为，点在上，记在上的射影为．（1）△能否为正三角形？若能，求点的坐标；若不能，请说明理由；（2）设在点处的切线与相交于点，证明：°．17．（15分）如图，在三棱锥中，平面，是的中点，平面平面，且．（1）求点到平面的距离；（2）求平面与平面的夹角的正弦值．18．（17分）已知函数，其中．（1）若曲线在点处的切线过原点，求；（2）当时，证明：；（3）若在上单调递增，求的取值范围．19．（17分）如果数列是首项为1，各项均为整数的递增数列，且任意连续三项的和都能被3整除，那么称数列是数列．（1）写出所有满足的数列；（2）证明：存在数列是等比数列，且有无穷个；（3）对任意给定的，都存在，使得数列是数列，求整数的最小值．高三数学期中参考答案一、选择题：本题共8小题，每小题5分，共40分．2:4C x y =F l P C P l H PFH P C P l Q 90PFQ ∠=P ABC -PA ⊥ABC D AC PBD ⊥PAC AB AC ==2AP =A PBD PAC PBC ()2cos f x x a x =+a R ∈()y f x =ππ,22f ⎛⎫⎛⎫ ⎪⎪⎝⎭⎝⎭a 1a =()1sin f x x x ≥+-()f x []0,πa ()123,,,,4m a a a a m ≥ 123,,,,m a a a a m P 47a =4P 4P ()55a a t ≥234,,a a a 12345,,,,a a a a a 5P tBABD CBCB 二、选择题：本题共3小题，每小题6分，共18分．BDABDABD三、填空题：本题共3小题，每小题5分，共15分．12． 13．14．四、解答题：本题共5小题，共77分．解答应写出文字说明、证明过程或演算步骤．15．（13分）解：（1）因为，所以由正弦定理，得．在△中，，所以．所以，．又，故．所以．由，知，所以，即，（2）因为△的面积为，所以1）知，①由余弦定理，得，即．因为△的周长为6，所以②．所以，所以，所以，解得③．由①③，解得，代入②，得．所以△为等边三角形．16．（15分）解：设点（1）△能为正三角形，理由如下：2π2,3112e e ⎛⎫+ ⎪⎝⎭12-cos sin a C C b c +=+sin cos sin sin sin A C A C B C +=+ABC A C B π+=-()sin sin A C B +=sin cos sin sin cos cos sin sin A C A C A C A C C =++sin cos sin sin A C A C C =+0πC <<sin 0C >cos 1A A -=1sin 62A π⎛⎫-= ⎪⎝⎭0πA <<ππ5π666A -<-<ππ66A -=π3A =ABC 1sin 2bc A =4bc =222π2cos 3a b c bc =+-222a b c bc =+-ABC ()6A b c =-+()2226b c b c bc -+=+-⎡⎤⎣⎦()()2263b c b c bc -+=+-⎡⎤⎣⎦()()22612b c b c -+=+-⎡⎤⎣⎦4b c +=2b c ==2a =ABC 200,x P x ⎛⎫ ⎪⎝⎭PFH依题意，抛物线的焦点，准线．则，点到的距离．假设△为正三角形，则°，即解得，所以点的坐标为．经检验，此时△是边长为4的正三角形．（2）法1：依题意，抛物线，则．所以在点处的切线方程为：，即．令，得，所以点．则，所以．法2：设的方程为：．与抛物线联立方程组，去，得．因为与抛物线相切，所以判别式，即．代入得，解得，所以．联立，解得，所以．又，所以，所以．所以，所以°．2:4C x y =()0,1F :1l y =-2014x PH =+F PH 0d x =PFH 1tan 302PH d =201124x ⎛⎫+= ⎪⎝⎭0x =±P ()3±PFH 2:4x C y =2xy '=C P ()200042x x y x x -=-20024x x y x =-1y =-0022x x x =-002,12x Q x ⎛⎫-- ⎪⎝⎭200002,1,,242x x FP x FQ x ⎛⎫⎛⎫=-=-- ⎪ ⎪⎝⎭⎝⎭ 20000222024x x FP FQ x x ⎛⎫⎛⎫⋅=---=⎪ ⎪⎝⎭⎝⎭ PQ y kx t =+C 24x y y kx t⎧=⎨=+⎩y 2440x kx t --=PQ 216160k t ∆=+=2t k =-22440x kx k -+=2x k =()22,P k k1y kx t y =+⎧⎨=-⎩1tx k --=21,1k Q k ⎛⎫--⎪⎝⎭()0,1F ()2212,1,,2k FP k k FQ k ⎛⎫-=-=- ⎪⎝⎭()()()2222122121210k FP FQ k k k k k-⋅=⋅--=---= FP FQ ⊥90PFQ ∠=17．（15分）证明：（1）在平面内，过点作，交于点．因为平面平面，，平面平面，所以平面．因为平面，所以．在△中，，所以．所以点到平面．（2）由（1）知，平面，所以．因为平面，平面，所以．又因为，平面，所以平面．因为平面，所以．法1：在平面内，过点作平行于的射线．如图，以为坐标原点，为正交基底建立空间直角坐标系．则．设平面的法向量为．因为，所以．PAC A AH PD ⊥PD H PBD ⊥PAC AH PD ⊥PBD PACPD =AH ⊥PBD PA ⊥ABC PA AC ⊥Rt PAD 1,2AD AP ==AH =A PBD AH ⊥PBD AH BD ⊥PA ⊥ABC BD ⊂ABC PA BD ⊥AH PA A = ,PA AH ⊂PACBD ⊥PAC AC ⊂PAC AC BD ⊥ABC A DB AF A {},,AF AC AP())()()0,0,0,0,0,2,0,0,0,2A BC P PBC (),,m x y z =()()0,2,2,0PC BC =-= 220m PC y z m BC y ⎧⋅=-=⎪⎨⋅=+=⎪⎩令，得．所以．又因为是平面的一个法向量，所以所以平面与平面．所以平面与平面．法2：在△中，，所以．在平面内，过点作，交于点，连接．因为平面，平面，所以．因为平面，所以平面．又因为平面，所以．所以是的平面角．因为到，是的中点，所以．在△中，又，故．所以．所以平面与平面．18．（17分）1x =y z ==(1,m =()1,0,0n =PAC cos ,m n m n m n⋅<>===⨯PBC PAC PBC PAC Rt ADB 1,2AD AB ==BD =PAC D DE PC ⊥PC E BE BD ⊥PAC PC ⊂PAC BD PC ⊥,,,DE PC DE BD D DE BD ⊥=⊂ BDE PC ⊥BDE BE ⊂BDE PC BE ⊥BED ∠B PC D --A PC D AC DE =Rt BDE BD =BE =sin BD BED BE ∠==PBC PAC解：（1）依题意，，则．因为曲线在点处的切线过点，所以，解得．（2）当时，记，则．因为，所以，所以单调递增．又，故令得，．所以当时，，故单调递减；当时，，故单调递增，所以的最小值为，所以．所以当时，．（3）因为在上单调递增，所以在上恒成立．当时，因为，所以符合．当时，，所以在上单调递增，所以，符合．当时，令，得，故在上存在唯一解，不妨记为，则当时，，所以在上单调递减，所以当时，，不符题意，故舍去．综上，的取值范围为．19．（17分）解：（1）满足的数列共有4个，分别是1，2，3，7；1，2，6，7；1，5，6，7；1，3，5，7．()2ππ,2sin 22f f x x a x ⎛⎫⎛⎫'==- ⎪ ⎪⎝⎭⎝⎭2f a ππ⎛⎫'=- ⎪⎝⎭()y f x =ππ,22f f ⎛⎫⎛⎫ ⎪ ⎪⎝⎭⎝⎭2π2ππ2a ⎛⎫⎪⎝⎭=-π2a =1a =()()21sin cos 1sin p x f x x x x x x x =--+=+--+()()()2sin 1cos ,2sin cos p x x x x p x x x '''=--+=-+sin 1,cos 1x x ≤≤()0p x ''≥()p x '()00p '=()0p x '=0x =0x <()0p x '<()p x 0x >()0p x '>()p x ()p x ()00p =()0p x ≥1a =()1sin f x x x ≥+-()f x []0,π()2sin 0f x x a x '=-≥[]0,π0a ≤sin 0x ≥()2sin 0f x x a x '=-≥02a <≤()2cos 20f x a x a ''=-≥-≥()f x '[]0,π()()00f x f ''≥=2a >()2cos 0f x a x ''=-=2cos x a=[]0,πt []0,x t ∈()0f x ''≤()f x '[]0,t []0,x t ∈()()00f x f ''≤=a (],2-∞47a =4P（2）法1：存在数列1，4，16，64是数列，也是等比数列．因为对于每一个，等比数列都满足：首项为1，各项均为整数的递增数列，且能被3整除，能被3整除，所以存在数列是等比数列，且有无穷个．法2：若数列是等比数列，不妨记公比为，则该数列为：．由题意，得．当时，，又，则也是3的倍数，所以对于每一个，数列均满足题意，所以存在数列是等比数列，且有无穷个．（3）法1：当时，令，则或．当时，则，不符；当时，同上，显然不符，故不存在，使得数列是数列．当时，若，则存在数列1，2，3，4，11满足题意；若，则存在数列1，3，5，7，12满足题意；若，则存在数列1，4，7，10，13满足题意；因此，则存在数列1，2，3，4，满足题意；因此，则存在数列1，3，5，7，满足题意；因此，则存在数列1，4，7，10，满足题意．综上，的最小值为11．4P k N *∈()()231,31,31,31k k k +++()()()222131319933331k k k k k k ++++=++=++()()()()()2323131313113131k k k k k k ⎡⎤+++++=+++++⎣⎦4P 4P q 231,,,q q q 313,q m m N *-=∈31,q k k N *=+∈()()33232311272793993k k k k k k k +-=++=++()222211319619933331q q k k k k k k k ++=+++++=++=++()2321q q q q q q++=++k N *∈()()231,31,31,31k k k +++4P 10t ≤510a =24a =27a =24a =3457,10a a a ===27a =234,,a a a 12345,,,,a a a a a 5P 11t =511a =512a =513a =531,4,a t t t N =-≥∈31t -53,4,a t t t N =≥∈3t 531,4,a t t t N =+≥∈31t +t法2：若．由任意连续三项的和都能被3整除，得．同理，．所以．若．由任意连续三项的和都能被3整除，得．同理，．所以．若．由任意连续三项的和都能被3整除，得．同理，．所以．综上，整数的最小值为11．22223,a x x N =+∈323333,a x x x N =++∈42345234554333,,53333,a x x x x N a x x x x x N =+++∈=++++∈()511153312,a k k k N =+=++∈22233,a y y N =+∈323533,a y y y N =++∈423445234557333,,93333,a y y y y N a y y y y y N =+++∈=++++∈()52229333,a k k k N =+=+∈22243,a z z N =+∈3233733,a z z z N =++∈4234452345510333,,133333,a z z z z N a z z z z z N =+++∈=++++∈()5333133341,a k k k N =+=++∈t。