一 : 2016高三学生如何迎接第一次期中考试？

　　不到半个月马上就会迎来期中考试，期中考试对于高三的学生们有着重大的意义，可以说是对他们高考成绩的一次演练。

　　那么，对于期中考试来说考前该如何复习，如何有针对性制定复习计划?这些都是家长和学生目前最关注的话题。

　　“我家的孩子最近很焦虑，因为马上要期中考试了，不知道应该如何复习，而且期中考试对于高三学生来说也算是一次挺大规模的考试了。”家长李女士说。

　　原和平区教师进修学校中学教研室副主任兼高中英语教研员、沈阳市回民中学校长助理赵军指出，这是一次对学生上半年学习的一个检验，也是学习成果的重要体现。

　　从根本上来说，期中考试应该是一次查找知识体系漏洞的契机，因为XX年高考的方向也许会有一些变化，为此第一次考试的方向很重要，为此学生应该重视起来，但是不要过于担心，建议学生们通过这样的考试能从题型上找出规律，并总结出未来高考的方向，这样对日后的备考有积极作用。

　　XX年的高考题对于很多学生来说相对难一些，那么XX年的高考题可能会有所变化。

　　“特别是数学这一科，我觉得会更加注重基础知识的考察，为此建议学生们在期中考试前应该狠抓基础知识，这对于学生的高考备考有着很重要的作用，希望学生们能重视起来。”赵军指出。

　　对于语文这科目的复习，沈阳市第五十六中学高三学科主任孙吉利建议学生们，因为是第一次相对大规模考试，为此应该提前关注到语文考试中的热点变化等，特别是对于语文素养上的培养非常重要，还要在作文上下工夫。英语的复习中，希望同学们注重阅读，解决这一难题也从基础上抓起。

　　目前不少学校已经进入期中复习课的学习阶段，为此孙吉利特别提醒高三学生，这些复习课都是复习中的重中之重，都是老师精心准备的。他们看似都在重复平时学过的内容，其实是一种总结、提高。这些课有助于学生理清复习的思路，提高复习的效果。所以要跟着老师的讲课节奏，做好课堂笔记，听好每一分钟的课。

二 : 揭东一中、惠来一中2014届高三第一学期联考英语试题

揭东一中、惠来一中2014届高三第一学期联考

英 语 试题

（满分：135分；考试用时：120分钟）

I．语言知识及应用（共两节, 满分45分）

第一节 完形填空（共15小题；每小题2分, 满分30分）

阅读下面短文, 掌握其大意, 然后从1 ~ 15各题所给的A、B、C和D项中，选出最佳选项, 并在答题卡上将该项涂黑。

Three Apple engineers and three Microsoftemployees are traveling by train to a conference. The Microsoftengineers each buy tickets but the Apple engineers buy onlya　1　ticket.

“How are three people going to travel on onlyone　2　?” asks a Microsoftemployee. “Watch and you’ll see,” answers an Apple engineer.

They all board the train. The Microsoft employees taketheir　3　butall three Apple engineers cram(拥挤) into a restroom and close thedoor behind them.

　4　after the train hasdeparted, the conductor comesaround　5　tickets.He knocks on the restroom door and says, “Ticket, please.” The dooropens just a crack and anarm　6　, ticket in hand.The　7　takesit and moves on. The Microsoft employees see this and agree it isquitea　8　idea.

So after the conference, the Microsoft employees decideto　9　theApple engineers (as they always do) on the return trip and savesome　10　. When they get tothe station, they buy one ticket. Totheir　11　, the Appleengineers don’t buy any ticket at all.

“How are you going to travel without a ticket?” asksone　12　Microsoftemployee. “Watch and you’ll see,” answers an Apple engineer.

When they board the train, the Microsoft employees cram intoa　13　and the Apple engineerscram into another one nearby. The train departs. Soon one of theApple engineers　14　hisrestroom and walks over to where the Microsoft employeesare　15　.

He knocks on the door and says, “Ticket, please...”

1.A. cheap 2.A. route 3.A.seats 4.A. Directly 5.A. testing 6.A.sticks 7.A. conductor 8.A. strange 9.A. learn 10. A. money 11. A. excitement 12. A. touched 13. A. bedroom 14. A. leaves 15.A.traveling

B. return B.ticket B. chances B. Quickly B. collecting B.appears B. policeman B. foolish B. watch B. time B. agreement B.delighted B. restroom B. crosses B. sitting

C. single C. means C. turns C. Nearly C. receiving. C. holds C.employee C.clever C. accept C. energy C. astonishment C. frightened C. sitting-room C.enters C.hiding

D. special D. railroad D. routes D. Shortly D. delivering D. rises D. engineer D. useful D. copy D. space D. appointment D. puzzled D. dining-room D. reaches D. enjoying

第二节：语法填空（共10小题，每小题1.5分，满分15分）。

阅读下面短文，按照句子结构的语法性和上下文连贯的要求，在空格处填入1个适当的词或使用括号中词语的正确形式填空，并将答案填写在答题卡标号为16~ 25的相应位置上。

Online shopping is coming into fashion in most cities, wherepeople are able to make full use of the rapidly-developed internettechnology. Nowadays, can we find a person __16__ hasn’texperienced online shopping? Definitely not.

Online shopping __17__ (welcome) by most people due tovarious reasons. From the perspective of consumer, it can save sometime for people who don’t have much spare time. Just click themouse, they can get __18__ they want while staying at home.For the retailers, it can cut some costs for those who don’t havemuch circulating funds. __19__ (compare) with thetraditional trade mode, they don’t have to spend money in renting ahouse. __20__, there are still some disadvantages in onlineshopping. First, a face-to-face deal makes online shopping lessreliableand trustworthy. Second, people will lose __21__ fun ofbargain.

__22__ is undeniable that shopping on the internet hasbecome an irresistible trend in modern society. It’s23great urgency that we need to make the relativelaws24the rapid growth of online shopping. Only in thisway can we enjoy the pleasure and25(convenient) of online shopping without the concern of beingcheated.

Ⅱ.阅读 (共两节，满分50分)

第一节 阅读理解(共20小题；每小题2分，满分40分)

阅读下列短文，从每题所给的A、B、C和D项中，选出最佳选项，并在答题卡上将该项涂黑。

A.

Ateenager realized her dream of becoming a professional model threeyears after a serious car accident.

Marita Davies was on her way home from a party when the crashhappened. The car that Marita took as a passenger was going thewrong way and crashed into another car driven by a drunken drivernamed David Hudson, which left her with a broken leg and back. Ittook the firefighters more than two hours to free the teenager fromthe damaged car before she was taken to hospital. Marita was in awheelchair for a year after being bed-ridden for nine months.

Marita feared her dream of a modeling career was over. She said, “Iwas extremely upset and shocked when I knew about my terribleinjuries. I thought my dream of becoming a model was over. My legand back were broken. The crash had broken my confidence and Ibecame quiet and spent less time with other people. I was 16, andat that age all I wanted to do was go out with my friends.”

But as her health took a turn for the better, Marita finally cameout of the wheelchair and learned to walk. She decided she wouldstill try to follow her dreams, and sent some photos off to somemodeling agencies. She did a few unpaid jobs while studying atcollege. Soon, paid commercial modeling jobs started coming in.Marita was a bit doubtful at first, because the crash had left herwith huge scars on her leg and back. She was worried that peoplewouldn’t want her to model for them, but this didn’t stop her.

Marita had done amazingly well to overcome everything that had beenthrown at her in the three years. Finally, Marita became aprofessional model in 2013. She was signed up for advertisingcampaigns and appeared in TV ads.

26. When did the accident happen?

A. In2008.B. In2009.C. In2010.D. In 2011.

27. Who should be to blame for the accident?

A. MaritaDavies.B. David Hudson.

C. The driver of the car that Marita took.D. Both of the drivers involved in the accident.

28. It can be known from the passage that _______.

A. Marita was sent to hospital soon after theaccident.

B. it took Marita twenty-one months to fullyrecover.

C. Marita felt hopeless when she knew abouther injuries.

D. Marita’s friends helped her build upconfidence again.

29. How did Marita feel when modeling jobs became available toher?

A.Unconfident.B.Satisfied.C.Surprised.D. Lucky.

30. The passage is intended to ______.

A. prove modeling is a promising career.

B. warn people not to drive afterdrinking

C. suggest having a dream is a goodthing

D. praise Marita’s spirits to overcomedifficulties

B.

At21，Ricardo Semler became boss of his fat(www.61k.com）her's business inBrazil，Semco，which sold parts for ships. Semler Junior worked likea mad man，from 7：30 am，until midnight every day. Oneafternoon，while touring a factory in New York，he collapsed. Thedoctor who treated him said，"There's nothing wrong with you. But ifyou continue like this, you'll find a new home in our hospital."Semler got the message. He changed the way he worked. In fact，hechanged the ways his employees worked too.

He lethis workers take more responsibility so that they would be the onesworrying when things went wrong. He allowed them to set their ownsalaries，and he cut all the jobs he thought were unnecessary，likereceptionists and secretaries. This saved money and brought moreequality to the company. "Everyone at Semco，even top managers，meetsguests in reception，does the photocopying，sends faxes，types lettersand dials the phone."

Hecompletely reorganized the office：instead of walls，they have plantsat Semco，so bosses can't shut themselves away from everyone else.And the workers are free to decorate their workspace as they want.As for uniforms，some people wear suits and others wearT-shirts.

Semco hasflexible working hours：the employees decide when they need toarrive at work. Also，Semco lets its workers use the company'smachines for their own projects，and makes them take holidays for atleast thirty days a year.

It soundsperfect，but does it work? The answer is in the numbers：in the lastsix years，Semco's revenues have gone from$35 million to$212million. The company has grown from eight hundred employees to3，000. Why?

Semlersays it's because of "peer pressure". Peer pressure makes employeeswork hard for everyone else. If someone isn't doing his jobwell，the other workers will not allow the situation to continue. Inother words，Ricardo Semler treats his workers like adults ratherthan children, and expects them to act like responsible adults. Andthey do.

31.According to Paragraph 1, which of the following statementsis True?

A. Ricardo Semler is a 21-year employer.

B. Semco is the name of a ship.

C. Ricardo Semler fell seriously ill because of overwork.

D. The doctor’s words had a great effect on Ricardo Semler.

32. Semler made a variety of changes in his companyExcept__________.

A. the staff was lessened to save money

B. the employees were given less holidays every year.

C. flexible working hours wereintroduced

D. the employees enjoyed a lot of freedom

33. What’s the main idea of Paragraph five?

A. Ricardo Semler’s new management method succeeded.

B. Ricardo Semler’s idea sounded perfect but not practical.

C. The company earned a lot ofmoney.

D. The reason for his success.

34. In his company, what does Ricardo Semler value most?

A.freedomB.rulesC.responsibilityD. hard work

35. Which of the following best describes Semler’s quality?

A. human andcreativeB. clever and diligent

C. intelligent andcasualD. considerate and selfless

C.

Over time, the custom of kissing developed as a way for adultsto express their love and affection for one another. The roots ofthis form of affection can be traced back to primitive times, whenmothers fondled their children, much as mothers do today.

Much later, in the sixth century, society apparently acceptedthe custom of kissing between adults as an expression of theiraffection. Not surprisingly, France first accepted kissing incourtship（求爱）. There, figure dancing was popular, and each dancewas sealed with a kiss.

The custom of kissing swept from France through Europe toRussia, where Russian nobility loved to imitate the French.Eventually, the kiss was incorporated into marriage ceremonies, andtoday lip locks couples into sweet matrimony.

The custom of kissing today, as well as in ancient times, servesto pay homage to another. Early Romans kissed eachother on the mouth or on the eyes to greet one another in a mannerthey thought to be dignified. One Roman emperor even ranked aperson’s importance by the body part he was allowed to kiss. Heallowed important nobles to kiss his lips, less important ones tokiss his hands, and the least important ones to kiss his feet.

In Russia, the highest sign of recognition from the Crown meanta kiss from the Tsar himself. Today, natives of many African tribespay homage to their Chief by kissing the ground over which he haswalked.

36. What’s mainly talked about in the passage?

A. The way to express love andrespect.B. The expression of affection.

C. The custom ofkissing.D. The function of kissing.

37. Which of the following can best explain the underlined word“homage” in the 4^th paragraph?

A.recognitionB.respectC.importanceD. loyalty

38. It can be learned fromthe passage that _______ .

A. kissing is a widely accepted way to show love andaffection.

B. kissing used to be a proper way to show love on the weddingceremony.

C. kissing is a widely accepted of greeting in the world.

D. kissing from the Tsar is the only sign of being accepted fromthe Crown.

39. Which of the followingis TRUE according to the passage?

A. It was France that made the custom of kissing go to the wholeworld.

B. Early Africans kissed each other on the mouth or on the eyesto greet one another.

C. One Roman emperor allowed important nobles to kiss hisnose.

D. Russian nobility followed the custom of kissing from theFrench.

40. We can infer from thepassage that _______ .

A. mothers created the custom of kissing

B. kissing means differently on different occasions

C. figure dancing was usually sealed with a kiss in Russia

D. society found it hard to accept kissing in public in thesixth century.

D.

There has been a dramatic increase in the numberof natural disasters over the past few years, and it is assumedthat global warming and climate change could cause even moredisasters in the

future. Some of the world’s leading cities are facing disasterslike floods and heat waves.

London

London’s flood defences are getting older. Since 1982, theThames Barrier(水闸)has protected the city from the threat offlooding, but it was only designed to last until 2030 and closeonce every two or three years. About 31 years later the barrier nowcloses five or six times a year and according to Environment Agencypredictions, by 2050 the barrier will be closed on almost everytide if the problem is not addressed.

There are 26 underground stations, 400 schools, 16 hospitals, anairport and 80 billion worth of property in London’s flood riskarea, so large scale flooding would be disastrous.

Paris

Over a six week period in July and August 2003, more than 11,400—mainly elderly people—died in France from dehydration(脱水)andextremely high body temperature in a deadly heat wave. Heat wavesof similar intensity(强度)are expected every seven years by 2050, sowhat can be done to make sure such a disaster does not happenagain?

One solution is to have air-conditioners installed in elderlycare homes. But this is considered a short-term solution, as theincrease in demand for electricity also increases carbonemissions(排放).

In Paris the local authorities are encouraging architects todesign new types of buildings such as the building “Flower Tower,”which uses a covering of bamboo to act as a naturalair-conditioner.

Shanghai

Shanghai is the fastest growing city on Earth. It has apopulation of 18 million and is only 4 meters above sea level. Sealevels are predicted to rise by 20 cm within the next century.

An estimated 250，000 people move to Shanghai every year insearch of work, placing extra demands on energy consumption. Chinarelies heavily on coal—fired power stations, but these emissionsincrease temperatures and, in turn, warmer seas increase the riskof typhoons.

41. What problem should be settled now inLondon?

A. How to protect the city’sproperty

B. Where to build its flood defences

C. How to use the Thames Barrier to protect thecity

D. How to improve the function of the old flooddefences

42. Which of the following measures can’tsolve the heat wave disaster in Paris?

A. Putting up new types of buildings with acovering of bamboo.

B. Having air-conditioners installed in elderlycare homes.

C. Forbidding the city to build “Flower Tower”.

D. Encouraging architects to design new types ofbuildings.

43. The major threats to Shanghai are__________.

A. increasing population and coal-fired powerstations

B. rising sea levels and typhoons

C. extremely high temperature and rising sealevels

D. extra demands on energy consumption andtyphoons

44. The purpose of the passage is __________.

A. to tell us how to protect the big cities

B. to give advice on how to defend naturaldisasters

C. to explain what causes flood and heat waves

D. to warn us of the increasing natural disastersin big cities

45. Which of the following would be the best titlefor the passage?

A. Big Cities Facing BigDisastersB.Big Disasters in the Future

C. The Increase of Natural DisastersD.Solutions to Natural Disasters

第二节：信息匹配(共5小题；每小题2分，满分10分)

请阅读下列应用文及相关信息，并按照要求匹配信息。请在答题卡上将对应题号的相应选项字母涂黑。

下面是美国著名游记作家Bill Bryson的几本作品，首先请阅读它们的封面信息：

下面是对这几本书的简要介绍，请把它们对应的封面信息找出来：

46. In this collection, Bill Bryson is writing from home. Wefind he assesses life both in New England and in the contemporaryUnited States. With the telescopic perspective(远望视角) of one who hasstepped out of the American mainstream and come back after 20years, Bryson holds the mirror up to U.S. culture and feel strangeto his motherland.

47. This book is a guide to the world’s unspoilt sights andexperiences. It presents one thousand fresh and fascinatingalternatives to hundreds of well-known tourist destinations andsights, including alternatives to the Carnival in Rio and thebeaches of Thailand, the most-visited national parks, over-ratedrestaurants and holiday sites.

48. Returning to the U.S. after 20 years in England, Bill Brysondecided to reconnect with his mother country by hiking the lengthof the 2100-mile Appalachian Trail. Awed by merely the campingsection of his local sporting goods store, he still goes into thewilderness and learns hard lessons about self-reliance.

49. A travelogue by Bill Bryson is as close to a sure thing asfunny books get. This book is no exception. Following an urge torediscover his youth, the author leaves his native Des Moines,Iowa, in a journey that takes him to across 38 states in thecountry, which is like a small town in his opinion.

50. Born in Iowa, Bryson backpacked through Europe as a youngman. While living in England some 20 years later, he revisited manyof the same places from arctic Norway’s northern lights to romanticCapri in Italy. Here he jumps back and forth between old memoriesand new experiences.

Ⅲ. 写作 (共2节，满分40分)

第一节 基础写作(共1小题，满分15分)

西藏是中国领土不可分割的一部分，这块具有神秘和传奇色彩的土地也引起了世界的关注。

假设你是李华，你的美国朋友Peter打算今年暑假来中国西藏旅游，请你根据下表内容用英语向他简单地介绍有关西藏的一些基本情况。

[写作内容]

归属	中华人民共和国
地理位置	中国西南方，被誉为世界屋脊（Roof of the World）
人口	约2,800,000
面积	120多万平方公里
省会	拉萨(Lhasa)，被誉为世界上最高的城市
特征	700多年的悠久历史；有很多享誉海内外的名胜，如布达拉宫the Potala Palace。
发展	1951年5月23日解放(liberation)以来，西藏在政治、经济、文化等方面都取得了很大的进步。

[写作要求]

1．只能使用五个句子表达全部内容；

2．信的开头和结尾已为你写好，不计入句子总数。

Dear Peter．

I am so glad to know that you will come toTibet for a visit.

I'm sure you will have a wonderful journey in such a greatland.

Looking forward to your coming to China．

Yours，

LiHua

第二节 读写任务 (共1小题,满分25分)

阅读下面的文章，然后按照要求写一篇150词左右的英语短文。

There was a story about Ken Davis, a man who found a simple wayto enjoy his work. Ken just couldn’t find a suitable job. He workedat a variety of jobs and disliked them at all. While Ken wasworking as a door-to-door salesman, he noticed that at least halfof his customers had broken-down doorbells. And suddenly, Ken’slife career became clear. He opened his own doorbell repairservice.

Ken’s wife laughed when she first heard his idea. When sherealized he was serious, she cried. Whoever heard of making aliving by repairing doorbell? But Ken was making a comfortableliving at his unique job, and he was happier than he’d everbeen.

Ken didn’t enjoy what he was doing, but now he is enjoying whathe is doing because he has got to realize that he is working forhimself. Because of his passion for work, he is more devoted to itand does his work more creatively and efficiently.

The biggest mistake that you can make is to believe that you areworking for somebody else. Remember, jobs are owned by the company;you own your career!

No matter where you work, you work for yourself! With a littlecreativity and imagination, your work can seem less like boringwork and more like play. To enjoy your work more, it helps to putsome play in what you do. Wouldn’t you rather have it that way?

【写作内容】

1．以约三十个词概括上文的主要内容；

2．以约1二十个词就“享受你的工作和学习”这一话题谈谈你的看法，内容包括：

(1) 读完上文后你的感受；

(2) 描述你所熟悉的1个会享受工作或学习的人；

(3) 作为高三的学生，你如何享受你的学习。

【写作要求】

1．可以使用亲身经历或虚构的故事，也可以参照阅读材料的内容，但不得直接引用原文中的句子；

2．作文中不能出现真实姓名和学校名称。

【评分标准】

概括准确，语言规范，内容合适，语篇连贯。

参考答案

完形填空：

1-5 CBADB 6-10 BACDA11-15 CDBAC

语法填空：

16 who/that17 iswelcomed18whatever/what19 Compared (小写不给分) 20However21 the 22 It(小写不给分) 23of24with25 convenience

阅读理解：

26-30 CDCAD31-35 DBACA 36-40CBADB 41-45DCBDA

46-50 CDAB E

基础写作

Dear Peter，

I amso glad to know that you will come to Tibet for avisit．

Tibet，known as the “Roof of the World”，belongs to the People’sRepublic of China and it is located in the southwest of China. Ithas a population of about 2.8 million，covering more than 1.2million square kilometers. The capital city is Lhasa, which ishonored as “the highest city” in the world. With a long history ofmore than 700 years, Tibet has a number of world-famous places ofinterest, such as the Potala Palace. Since the liberation of Tibeton May 23，1951，it has witnessed significant progress in politics,economy and culture. I'm sure you will have a wonderful Journeyin such a great land.

Looking forward to your coming to China．

Yours，

Li Hua

读写任务（共1小题；满分25分）

(In the story above,) Ken enjoyed his job ofrepairing doorbell and he worked more effectively, with his passionbecause he changed his attitude and he thought he was working forhimself, which shows us that putting some play in our work helps usenjoy what we are doing.

Afterreading the passage, I really feel delighted to find Kenenjoys/enjoyed his work. Above all, we should have the sameattitude toward what we are doing because only by thinking that wework for ourselves can we have great passion for our work andstudy.

My father works in a bank.He drives to work and begins his job at eight o'clock everymorning. He speaks to people politely no matter who they are andwhere they come from. When people come to his bank to ask questionsabout their accounts, he serves them heart and soul. He often tellsme that he enjoys his work because by working he has an opportunityto challenge himself. Not only does he work for himself but also heworks for others. From the work he sees his value, of which he isproud.

As aSenior 3 student, I can also enjoy my study because I am so luckyto have chances to study for myself and realize my dream. Toachieve this, I should combine study with pleasure and care moreabout my progress instead of my failures so that I can learnefficiently and creatively.

三 : 福州金桥高级中学10-11学年第一学期第三次月考试卷理

福州金桥高级中10-11学年第一学期第三次月考试卷

高三数学理科(A)

答卷时间120分钟 满分为150分

命题:林小强 校对:陈晟 审核:高三数学集备组 考试时间：2010.12.17 一、选择题（本大题共10小题,每小题5分，共50分。在每小题给出的四个选项中，只有一项符合题目要求.请把正确答案填在答题卡上）

1. 设全集U??1,2,3,4,5?，集合A??1,a?2,5?，CUA??2,4?，则a的值为（ ） A．3 B．4 C．5 D．6

2.在等差数列{an}中，已知a5?a7?10,Sn是数列{an}的前n项和，则S11?（ ） A．45 B. 55 C．50 D．60

3. 已知向量a?(tan?,1),b?(3,?1),??(0,?)，若?，则?的值为（ ）

A．?6或5?6 B．?2???3 或3 C．6 D．3

4. 使函数f(x)?sin(2x??)?3cos(2x??)是奇函数，且在[0,

?

4

]上是减函数的

?

的一个值是（ ） A．

?

3

B．

2?3 C． 4?3 D． 5?3

5. 椭圆x2

?my2

?1的焦点在y轴上，长轴长是短轴长的两倍，则m的值为（ ） A．14 B．1

2

C． 2 D．4

6. .曲线y=1+4?x2(－2≤x≤2)与直线y=k(x－2)+4有两个交点时，实数k的取值范围是（ ） A.［

5

12

，+∞) B.(

512，54］ C.(0，512

) D.(

13，3

4

］ 7. 设函数f(x)(x?R)为奇函数，f(1)?1

2

，f(x?2)?f(x)?f(2)，则f(5)等于（ ） A．1 B．

52 C．7

2

D．5 ?x?1

8. 实数x、y满足不等式组?

?y?0，则W=y?1的取值范围（ ）

??

x?y?0

xA．[－1,0] B．(－∞,0] C．[－1,+∞) D．[－1,1)

高三数学理科（A）第三次月考试卷 第1页 共8页 9. 如图，函数y?f?x?的图象在点P处的切线方程是y??x?8，则f?5??f??5??（ ） A．12

B．1 C．2 D．0

10. 已知函数f(x)对任意的实数x，满足f(x)?f(??x)，且当x?(?

?2,?

2

)时，f(x)?x?sinx，则（ ）

Ａ、f(1)?f(2)?f(3) Ｂ、f(2)?f(3)?f(1) Ｃ、f(3)?f(2)?f(1) Ｄ、f(3)?f(1)?f(2) 二、填空题（本大题共5小题，每小题4分,共20分）

11．已知△ABC的顶点B,C在椭圆x2

3

?y2?1上，顶点A是椭圆的一个焦点，且椭圆的另外一个焦点在BC边上，则△ABC的周长是

12．圆x2＋y2－2x－2y＋1＝0上的动点Q到直线3x＋4y＋8＝0距离的最小值为_________．

13．已知等比数列?an?，若a1?1,a5?4，则a3的值为． 14．垂直于直线2x?6y?1?0且与曲线y?x3?3x2?1相切的直线方程为．

15．给出下列命题：

①函数y?tanx的图象关于点（k?,0)(k?Z)对称； ②若向量a,b,c满足a·b=a·c且a≠0，则b=c;

③把函数y?3sin(2x?

?

3

)的图象向右平移

?

6

得到y?3sin2x的图象； ④若数列{an}既是等差数列又是等比数列，则an?an?1(n?N*) 其中不．

正确命题的序号为 .

高三数学理科（A）第三次月考试卷 第2页 共8页

三、解答题（本大题共6小题，满分74分，解答应写出文字说明，证明过程或演算步骤）

16．(本小题满分13分)

已知a?

?4，b?

?3，(2a?

?3b?

)(2a??b?

)?61，

（1）求a?与b?

的夹角?；

（2）求a??b?

；

（3）若???AB??a??????

，BC?b，求?ABC的面积。

17．(本小题满分13分)

?

?

?

?

已知a＝（1＋cos2x，1），b＝（1，m?sin2x）（x，m∈R），且f(x)?a·b. （1）求函数y?f(x)的最小正周期；

（2）若f(x)的最大值是4，求m的值，并说明此时f(x)的图象可由y?2sin(x??

6

)

的图象经过怎样的变换而得到.

18．(本小题满分13分)

在直角坐标系xOy中，以O

为圆心的圆与直线x?4相切． （1）求圆O的方程；

（2）圆O与x轴相交于A，B两点，圆内的动点P使PAPO? PB?

成等比数列，求??PA??????PB?

的取值范围．

高三数学理科（A）第三次月考试卷 第3页 共8页 19．(本小题满分13分) 已知函数f(x)?

x

3x?1

,数列?an?满足a1?1,an?1?f(an)(n?N?). （1）求数列?an?的通项公式;

（2）记Sn?a1a2?a2a3???anan?1,求Sn.

20．(本小题满分14分)

已知函数f(x)?xlnx. （1）求f(x)的最小值；

（2）若对所有x?1都有f(x)?ax?1，求实数a的取值范围.

21．(本小题满分14分)

已知定点A（－2，0），动点B是圆F：(x?2)2

?y2

?64（F为圆心）上一点，线段AB的垂直平分线交BF于P.

（1）求动点P的轨迹E的方程；

（2）直线y?x?1与曲线E交于M，N两点，试问在曲线E位于第二象限部分上 是否存在一点C，使?与共线（O为坐标原点）？若存在，求出点C的坐标；若不存在，请说明理由.

高三数学理科（A）第三次月考试卷 第4页 共8页

_______________：号证考准 _______________：名姓 _____ ________：号座 _________：级班

福州金桥高级中10-11学年第一学期第三次月考试卷

高三数学理科(A)参考答案及评分标准

一、选择题(本大题共10小题,每小题5分,共50分.在每小题给出的四个选项中,只有一项符合题目要求.请把正确答案填在答题卡上) 二、填空题.（本大题共5小题,每小题4分,共20分）

11

． 12. 2 13. 2 14.y??3x?2 15. （2） 三、解答题:( 本大题共6小题,共80分) 16、(本小题满分13分)

解：解（1）?(2a?3b)(2a?b)?61，?4a2

?4a?

b?3b2

?61， 又a?4b?3，?64?4a?

b?27?61，?a?b??6，?cos??a?bab??64?3??1

2

又0????,???

2?

3

………………………………4分 （2

）a?b???8分

（3）????AB?????与BC的夹角??2?2?3，??ABC???

??

又???AB??a?4????

33

，BC?b?3 S?1???2AB????BC?sin?ABC?1?ABC

2?4?3?…13分 17、(本小题满分13分)

解：（Ⅰ）f(x)?(1?cos2x)?(m?3sin2x)?2sin(2x?

?

6

)?m?1,

∴最小正周期为T＝2?

2

??. ………………………………6分 （Ⅱ）当2x?

?6＝2k???

2

,k?Z，时， f(x)max＝2＋m＋1＝4?m＝1. …………………………………9分

此时，f(x)＝2sin(2x?

?

6

)?2.

将y?2sin(x??

1

6

)的图象上各点的横坐标变为原来的2，纵坐标不变，再向上平移2

个单位即可得到f(x)的图象. ………………………………………13分 18、（本小题满分13分）

解：（1）依题设，圆O的半径r等于原点O

到直线x?4的距离， 即

r?

?2． 得圆O的方程为x2?y2?4．………………………………4分 （2）不妨设A(x1，，0)B(x2，，0)x1?x2．由x2?4即得

A(?2，，0)B(2，0)．

?设P(x，y)，由PAPO PB?

成等比数列，得

?x2?y2，

即 x2?y2?2．………………………………7分

P的轨迹是中心在原点,A,B为焦点的双曲线在圆内的部分…………………9分

??PA??????PB?

?(?2?x，?y)?(2?x，?y)

?x2?4?y2?2(y2

?1).

由于点P在圆O内，故???x2?y2

?4，2

??x2?y2

?2.

由此得y?1． 所以??PA??????PB?

的取值范围为[?2，0)．…………………13分

19、(本小题满分13分) 解：解析：（Ⅰ）由已知得，aann?1?，

3an?1

∴1?1?3，即1?1?3 an?1anan?1an

∴数列??1?是首项a1?1,公差d?3的等差数列.

?a?

n?

∴1?1?(n?1)?3?3n?2,

an

故an?

1

3n?2

(n?N?) …………………6分 (Ⅱ) ∵anan?1?

1(3n?2)(3n?1)?13(13n?2?13n?1

)

Sn?a1a2?a2a3???anan?1?11?4

?14????

1 7

(3n?2)(3n?1)

?111111

3[(1?4)?(4?7)???(3n?2?3n?1

)] ?11n

3(1?3n?1)?

3n?1

。…………………13分

20、(本小题满分13分)

解：(1）解：f(x)的定义域为(0，+?)，…… 1分

f(x)的导数f?(x)?1?lnx. …… 3分

令f?(x)?0，解得x?

1e；令f?(x)?0，解得0?x?1

e

. 从而f(x)在??

01??单调递减，在??1，+????e??e?

单调递增. …… 5分

所以，当x?1e时，f(x)取得最小值?1

e

. …… 6分

（2）解：依题意，得f(x)?ax?1在[1，

??)上恒成立， 即不等式a?lnx?1

x

对于x?[1

，??)恒成立 . …… 8分 令g(x)?lnx?

1x， 则g?(x)?1x?11?1?

x2?x??1?x??

. ……. 10分 当x?1时，因为g?(x)?

1?1x??1??

x??

?0， 故g(x)是(1

，??)上的增函数， 所以 g(x)的最小值是g(1)?1，…… 12分从而a的取值范围是(??，

1].…… 14分 21、解：（1）由题意|PA|?|PB|,且|PB|?|PF|?8, ∴|PA|?|PF|?8?|AF|.

因此点P的轨迹是以A，F为焦点的椭圆.……………………4分

x2y2

设所求椭圆的方程为a2?b

2?1(a?b?0),

∴2a?8,a?4,a2?b2?c2?22?4 ∴b2

?12

∴点P的轨迹方程为

x216?y2

12

?1.…………………………6分 （2）假设存在满足题意的点C(x0,y0)(x0?0,y0?0),设M(x1,y1),N(x2,y2),

??m(m?R,且m?0),则(x1?x2,y1?y2)?m(x0,y0).

?x1?x2y?0?

xm,y?1y2

0m

. ?由?y?x?1??x2

y

2得15x2

?8x?44?0.……………………8分 ?16?

12

?1,?x1?x832??

15,y?y2

12?3(x1?x2)?2?5

. ?x832

x2200??15m,y0?5m

.……………………10分 又

16?y012?1,解得m2?115.?m??

15.又?xy0?0,0?0?m?

15

所以存在满足题意的点C（?8525,

5

）……………………14分

本文标题：高三第一学期期中考试-2016高三学生如何迎接第一次期中考试？
本文地址： http://www.61k.com/1103609.html