江苏省南京市、盐城市2017届高三第二次模拟考试 英语 Word版含答案
南京市、盐城市2017届高三年级第二次模拟考试英语本试卷分选择题和非选择题两部分。
满分120分，考试用时120分钟。
注意事项：答题前，考生务必将自己的学校、姓名、考试号写在答题纸上。
考试结束后，将答题纸交回。
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纸上。
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 are the speakers talking about?A. Buying DVDs.B. Renting DVDs.C. Sharing DVDs.2. What does the woman mean?A. She will help the man later.B. She is unwilling to help the man.C. Sh e can’t be of any assistance.3. Where does the conversation most probably take place?A. In Henry’s house.B. In a restaurant.C. In a hospital.4. What is the probable relationship between Fred and Anne?A. Boss and secretary.B. Husband and wife.C. Teacher and student.5. How did Tom go to London?A. By car.B. By plane.C. By train.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秒钟的做答时间。
每段对话或独白读两遍。
听第6段材料，回答第6、7题。
6. What does the woman dislike?A. Exhibitions.B. Folk concerts.C. Pop concerts.7. What does the woman think of the opera?A. Fantastic.B. Serious.C. Noisy.听第7段材料，回答第8至10题。
8. W hat is the topic of the man’s term paper?A. Influence of presidential elections.B. Methods of digging for information.C. Influence of TV on presidential elections.9. Why does the man come to the graduate school’s library?A. To return books.B. To search for information.C. To apply for a job as a librarian.10. What can the man do according to the librarian?A. Use the computer to search.B. Check out the outside materials.C. Obtain materials from around the world.听第8段材料，回答第11至13题。
11. How much does the man pay for car insurance a month?A. $25.B. $50.C. $100.12. What is the woman’s point in the conversation?A. The man is a great driver.B. She seldom uses her car.C. Women are more careful drivers.13. How many accidents has the woman been in this past year?A. Zero.B. Two.C. Five.听第9段材料，回答第14至16题。
14. Which is the second largest ethnic group in San Francisco?A. The Chinese.B. The whites.C. The blacks.15. What is the Japanese population in San Francisco?A. 12,000.B. 120,000.C. 800,000.16. What does the man do?A. A driver.B. A teacher.C. A guide.听第10段材料，回答第17至20题。
17. What is the speaker mainly talking about?A. A search engine.B. A program for teachers.C. A language learning platform.18. Where is Luis von Ahn from?A. Switzerland.B. Guatemala.C. Costa Rica.19. Why did Luis von Ahn create Doulingo?A. To make language learning affordable.B. To make money by placing advertisements.C. To arouse people’s interest in translation.20. How was Duolingo originally funded?A. By big websites.B. By the government.C. By schools.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）请认真阅读下面各题，从题中所给的A、B、C、D四个选项中，选出最佳选项，并在答题纸上将该项涂黑。
21. With private groups, there is a false sense _______ everybody in the groups knows each other and has thesame interests in mind.A. whereB. thatC. whatD. why22. ––In the UK, some people equate life experience with the number of stamps in their passports.––That’s why they all agree that th ey _______ the “travel bug”.A. catchB. caughtC. have caughtD. are to catch23. Is it common practice that salesmen receive a _______ of 10 percent on all sales made?A. depositB. receiptC. pensionD. commission24. The number of stay-at-home fathers reached a record high last year, new figures show, _______ families saw arise in female breadwinners.A. ifB. asC. becauseD. though25. Our dream is to _______ a World Cup that makes you, your grandchildren and everyone in football reallyproud.A. stageB. chairC. foundD. watch26. ––Iris is always kind and _______ to the suffering of others.––No wonder she chooses to be a relief worker.A. allergicB. immuneC. relevantD. sensitive27. We had wanted to surprise Father with a birthday gift, but my sister _______ by asking himwhat he would like.A. licked her lipsB. ate her wordsC. spilt the beansD. pulled his leg28. Hopefully, the new method will be effective, helping students to get their career plans _______.A. at handB. at willC. on trialD. on track29. We are committed to creating a world free from the homeless and the hopeless, a world _______each and every corner is a true paradise.A. thatB. whichC. of whichD. from where30. Yet _______ in the process of development did they stop to consider the impact of their “progress” on nature.A. in no timeB. at no pointC. as likely as notD. more often than not31. During each NBA season, basketball fans cheer on their favorite teams to make _______ through.A. itB. themC. thatD. those32. He was greatly shocked at Donald Trump’s taking office. Never did he expect that the voters _______ be sounreasonable.A. shouldB. couldC. wouldD. might33. _______ a record-breaking seven Golden Globes, the musical La La Land surprisingly does not appeal toChinese viewers.A. WinningB. WonC. Having wonD. To win34. If these new measures don’t work, we’ll have to _______ our old system.A. make up forB. come up withC. break away fromD. fall back on35. ––Why didn’t you come back last night? I waited long!––_______. You were playing games the whole night.A. Don’t give me thatB. Don’t lose your headC. Don’t trust to chanceD. Don’t dream away your time第二节完形填空（共20小题；每小题1分，满分20分）请认真阅读下面短文，从短文后各题所给的A、B、C、D四个选项中，选出最佳选项，并在答题纸上将该项涂黑。
英语_【市级联考】江苏省南京市、盐城市2019届高三第二次模拟考试英语试题(含答案)
【市级联考】江苏省南京市、盐城市2019届高三第二次模拟考试英语试题一、单项选择1. Difficulties strengthen the mind, _____ labour does the body.A ifB asC forD so2. Molly finally agreed, _____ reluctantly, to go and see a doctor.A afterwardsB almostC otherwiseD somewhat3. I know he feels upset about his failure, and I can _____ that.A relate toB live withC answer forD pull through4. The reds and golds _____ into each other as the sun sank. What a beautiful sight!A bumpedB pressedC meltedD turned5. I got more _____ about him from reading his books than from talking to him.A insightsB memoriesC resourcesD experiences6. The company needs to _____ its outdated image to promote its newly-released product.A lay outB call upC shake offD give away7. The conditions in the local school were fairly _____, no electricity and no basic teaching facilities available.A uniqueB typicalC PrimitiveD Stable8. The matches of the FIFA Women’s World Cup will be played in 2019 all around France, whose men’s team _____ the 2018 World Cup.A winsB wonC has wonD had won9. Citizens are _____ to exercise their rights, but under no circumstances can they violate other people’s rights.A on trackB on scheduleC at easeD at liberty10. ---I hear you’ll cancel all your plans and appointments. Why?---They _____ my life. I just can’t stop.A controlB controlledC have controlledD have been controlling11. Nature is understandable in the sense ______ she will answer truly and reward with discoveries when we ask her questions via observation.A thatB whereC howD what12. ---Nowadays, buyers accustomed to prices moving upward just adopt a wait-and-see attitude.---If they continue to _____, then our company is closing down.A fish in the airB sit on the fenceC fly off the handleD beat around the bush13. The children wrote magical stories together, _____ imaginary worlds of romantic and military adventure.A to spinB spinningC having spunD to have spun14. He was offered a position at the local church school, _____ he went to the Cambridge.A after whenB since whichC after whichD since when15. ---There are probably aliens living here on earth.---_____! I can’t believe you said that.A Come onB Forget itC Go aheadD Allow me二、完形填空16. I don’t talk with passengers on airplanes. My flight time is ______ for turning the pages ofa good book. That changed, ______, on a flight from Tampa to Newark when I sat next to her ---the lady in Seat 26B.After ______ my seat, I opened my book.Then she ______me. “And where are you traveling to? Home or on vacation?”“Heading home,” I closed my book. “You?”“Oh,home, too,” she began, “I come from a(n) ______ family. Nine kids! I’m the oldest ______ alive---eighty-nine!” And then she laughed, joyfully. I wouldn’t have ______ she was nearly ninety, though.“Good book?” she asked, pointing to my paperback.“Yes. Do you read?”“Oh,I don’t have ______ to read,” she replied.I’m sixty years younger than 26B, yet she’s the one who’s too busy to read? What on earth could she be doing with her ______?“Well,” she began, “I work at Costco. There are ______ nice people. There are also the ______ ones, but I enjoy them, too!” She laughed again, and I ______ her ability to not let negative energies affect her ______. I wondered how I could ______ that, too.“What’s your secret,” I asked, “to sounding so______ and healthy?”“My husband died ten years ago,” she said, ______. “I thought to myself, I’m not going to just ______! That’s when I got my Costco job. I believe in being active.”“Life is so good,” she ______, “I’m just excited every day to live it!”I wanted that plane ride to reroute to California so I would have more time to learn about her energy for life. I became more ______ with each mile we flew.I told myself, if someone who is eighty-nine years old can choose to live her life with such ______ and passion, I can, too. If you have the drive!（1）A reservedB adjustedC squeezedD limited（2）A thusB insteadC thoughD rather（3）A slipping intoB searching forC clearing upD settling into（4）A came toB bent toC turned toD pointed to（5）A complexB nuclearC wealthyD extended（6）A yetB evenC stillD ever（7）A predictedB admittedC guessedD doubted（8）A timeB patienceC abilitiesD chances（9）A daysB talentC booksD interest（10）A reallyB actuallyC seeminglyD probably（11）A learnedB weirdC ambitiousD innocent（12）A weighedB admiredC realizedD identified（13）A aimB fateC tasteD mood（14）A obtainB manageC controlD imagine（15）A academicB realisticC positiveD creative（16）A sadlyB coldlyC seriouslyD peacefully（17）A hang outB sit aroundC step backD get away（18）A respondedB continuedC recalledD declared（19）A astonishedB satisfiedC delightedD inspired（20）A desireB wisdomC courageD confidence三、阅读理解17.SUBSCRIPTIONS FROM EUROPE/REST OF THE WORLD (ROW)（1）Who will pay least if people subscribe to the same materials?A．People form Spain.B．People from France.C．People from the USA D．People from China.（2）How much will your school pay for one set of Hot English for students and one for teachers for class use totally?A ￡185.4.B ￡217.8.C ￡267.8D ￡235.4.18. That competition keeps prices down is well known. But it is hard to measure by just how much, because prices vary for all sorts of reasons, from differences in labour costs and rents to taxes. Rising to the challenge is a new paper in The Economic Journal by Giacomo Calzolari, Andrea Ichino, Francesco Manaresi and Viki Nellas, economists at the European University Institute, Bologna University and the Italian central bank. They looked at pharmacies(药房) and specifically at customers who may be particularly easy to rip off: new parents.Using data for 2007 to 2010 covering about a fifth of pharmacies in Italy, the researchers measured the way in which prices of hygiene products for babies changed as the number of babies varied. They took advantage of a peculiar law from the 1960s, according to which regions with at most 7,500 people are allowed just one pharmacy (supposedly to keep the quality of services high). They compared prices in places with populations just below this threshold, and just above.The products studied included some 3,000 varieties of shampoos, bath foams, baby wipes, creams and so on. Many are also used by adults on themselves. Some people, for example, prefer sun-cream labeled “for children” because of its high level of protecti on. When raising prices for these products, even a pharmacist with a monopoly(垄断) must consider the risk that adult users will switch to products that are not aimed at children. But a rise in the number of babies, and hence buyers who are parents, could tip the scales towards price increases. By contrast, the pharmacist should already be charging as much as parents are willing to pay for products without adult users, such as nappies.The scholars found that pharmacists raised prices when there were more new parents----but only in regions with a single pharmacy, and not for nappies. In monopoly areas a doubling of the number of babies from one month to the next (not unusual in a small population) coincided with a 5% increase in the price of the basket of baby-hygiene products. The study is timely. Italy’s government has started to loosen some of the many restrictions that stop competition in the pharmacy sector (though not yet the one that the researchers relied on). But such regulations are plentiful in many other lines of business, and not just in Italy. The consumers who pay the price are often those who find it hardest to travel to shop around----for example, people with crying babies on their hands.（1）What’s the purpose of the study?A To review the function of the special law for pharmacies.B To make clear the relation between competition and prices.C To collect the information on pharmacy business in Italy.D To gather the data on hygiene products for babies in Italy.（2）“tip the scales” in Paragraph 3 means “_____”.A Push the moveB Keep the levelC Control the riseD Break the balance（3）The government’s new measures will greatly benefit _____.A pharmacy ownersB local merchantsC new parentsD adult users19. As for child vaccinations （接种）, parents usually get paperwork lost, or forget whether their child is up lo dale． Now a group of MIT researchers has developed a new way to address this problem: inserting the record directly into the skin． Along with thevaccine, a child would be injected with a bit of dye that is invisible to the naked eye but easily seen with an app that shines special light onto the skin． The dye would be expected to last up to five years．The system would provide quick and easy access to vaccination history, and add little to the cost or risk of the procedure． "In developing countries where medical records may not be as complete or as accessible, there can be value in having medical information directly associated with a person, " says Ana Jaklenec, lead author of the study．Delivering the dye required the researchers to find something that was sale and would last long enough to be useful． "That's really the biggest challenge we overcame in the project, " says Jaklenec, adding that the team tested a number of dyes but could not find any that lasted when exposed to sunlight． The team ended up using a technology called quantum dots, which were originally developed to label cells during research． The dye has been shown to be safe in humans．"When people were still getting vaccinated against smallpox, they got a visible scar on their arm that made it easy to identify who had been vaccinated and who had not but obviously, we didn't want to give people a scar, " Jaklenec says, noting that her team was looking for something that couldn't be seen． The researchers also wanted to avoid technologies that would raise even more privacy concerns such as databases with names and identifiable data．The researchers hope to add more detailed information to the dots, such as the date of vaccination． Along with them, the team eventually wants to inject sensors that could also potentially be used to track aspects of health such as insulin（胰岛素） levels in diabetics （糖尿病人）．（1）What can we learn from the first 2 paragraphs？________A A new system has been developed to track the history of vaccination．B The cost of updating vaccination history is high．C The dye injected into children can be seen with naked eyes easily．D Carrying around ones medical record is convenient．．（2）What was the biggest challenge for the researchers？________A Labeling cells．B Delivering a number of dyes．C Finding the safe and long﹣lasting media．D Inventing a technology called quantum dots．．（3）It can be learned from the text that the researchers________．A are trying to find a vaccination against diabetics．B have injected sensors to track aspects of health．C are sure to leave no scars on those who arevaccinated． D hope to add more detailed information to the dots while maintaining privacy．．（4）How does the author feel about the project？________A Disappointed．B Enthusiastic．C Indifferent．D Uncertain．20. “With depressingly few exceptions, performances are dull and lack vitality…After years of trying to convince myself otherwise, I now feel sure that ballet is dying.”-----Jennifer Homans, Apollo’s AngelsIs ballet dead? Has the art form evolved to depression? Jennifer Homans’s conclusion to her fascinating history of ballet, Apollo’s Angels, is worrying.It appears that ballet’s pulse continues to beat strongl y, however, especially with a Tchaikovsky defibrillator attached. So why are some dance commentators arguing that ballet is dying? And do they have a point?“Ballet is dead”----“Ballet is dying” ---all ring tones of Friedrich Nietzsche’s philosophical claim: “God is dead.” Headline grabbling, certainly. Yet can ballet be defined in such black and white terms? Surely it is more abstract, filled with shades of popular grey. ①To start with, how do you define ballet? What is ballet today? Consider popular modern classics like Twyla Tharp’s In the Upper Room, where dancers wear pointy shoes and sneakers, combining contemporary and classical vocabulary together. Or closer to home, there is Graeme Murphy’s Swan Lake, which layers elements of Petipa’s cho reography(编舞) with a contemporary theme and aesthetic. Many contemporary choreographers all embrace classical form and principles, then manipulate(操纵) the rules. ② .The line between contemporary dance and ballet is vague. In an interview with TheTe legraph (2015), British choreographer Mattew Bourne acknowledges that this “cross-fertilisation” between contemporary dance and ballet continues to grow, as evidenced by the rise in new commissions from contemporary choreographers at the Royal Ballet and English National Ballet. Referring to Homans’s book, Bourne believes what has changed is that “the dance forms are coming closer together”. Not dying, but merging. Reinventing. This has been the case amongst Australasian ballet companies for many years now. ③ .Homans writes that ballet’s decline began after the passing of Ashton and Balanchine. Something ahs changed, certainly. A stylisic transition----from neo-classical to contemporary ballet----has occurred. ④Our art form’s evolution has alwa ys been with extinction. Prominent dance critic with The New York Times, Alastair Macaulay, says: “ballet has died again and again over the centuries,” and yet, “phoenix-like, rose again from its ashes”. History shows there were periods where ballet hibern ated and lacked popularity. This coincided with the art form’s changing forums. So here is the irony: what sells best, still, are reproductions of Petipa’s classics. A season without a Tchaikovsky score is a financial risk. And without Nutcracker(《胡桃夹子》), half the ballet companies in North America would not exist. Admittedly, as a dancer, my favourite roles---Albrecht, Prince Siegfried and Romeo----were from the classical canon; I am a traditionalist at heart (who loves to be challenged by good contemporary ballets). A part of the charm behind classical repertoire, for me, was in reproducing the glories of past greats. Classical ballet’s framework supports the modern process of bench-marking.Perhaps Jennifer Homans’s thoughts are not completely unfo unded. Perhaps ballet is dying for some. Ballet’s evolution has been delayed by its audiences. And as Homans suggests in her epilogue, perhaps also by its creatives.Now here is a bold prediction. In line with the Royal Ballet’s programming in Brisbane this year----of Christopher Wheeldon’s The Winter’s Tale, and Wayne MacGregor’s Woolf Works----over the next 20 years, ballet’s reliance on Petipa will decrease. Contemporary ballets and merge-styled ballets will produce their box-office influence ever more.Why?It is simple: our audiences will be ready for ballet to change again.（1）Why does the writer cite Jennifer Homans’s words at the beginning of the passage?A To support the writer’s viewpoint.B To introduce the topic of the passage.C To highlight the theme of the passageD To provide the background knowledge.（2）The sentence ‘Is this not ballet?” should be put in ______.A ①B ②C ③D ④（3）Which of the following statements is a fact about ballet?A “Surely it is more abstract, filled with shades of popular grey.” (Para.3)B “The line between contemporary dance and ballet is vague.” (Para.5)C “Our art form’s evolution has always been with extinction.” (Para.7)D “What sells best, still, are reproductions of Petipa’s classics.” (Para.8).（4）According to Matthew Bourne, _____.A the dance forms remain unchangedB contemporary dance has reinvented classic balletC ballet is experiencing growth and will continue to developD a new form of ballet is widely accepted among Australians（5）The writer takes himself as an example in Paragraph 8 in order to show _____.A classics should be promotedB classics are still of great significanceC classical ballet’s framework is out of dateD contemporary ballets attract more audiences（6）What may be the audiences’ attitude to the change of ballet?A Supportive.B Arbitrary.C Critical.D Concerned四、任务型阅读21. Friends in your life are like pillars on your porch．Sometimes they hold you up and sometimes they lean on you．Sometimes it's just enough to know they're standing by．Friendship doubles your joy and divides your grief．A friendship is priceless and should be cultivated．●Remembering the golden ruleWithout a doubt，the greatest human relations principle is to treat other people like you want to be treated．When you show respect for your friends and gratitude for their friendship，you'll be blessed in untold ways．You can't know what has gone on in the rude person's life that day，but you can assume that his or her day hasn't gone well．Maybe a loved one lost his job，her boss reprimanded her unjustly，he's coming down with the flu，or she just found out that her teenager is taking drugs．Whatever the cause of the rudeness，you don't have to accentuate（突出） the problem．A kind word or a gentle，understanding smile may help the person more than returned rudeness would．●Considering foes as friendsA friend looks after your own good．On the other hand，a foe is someone who isn't interested in your well﹣being．Yet some students view their teachers as enemies．However，a student's success in school partly depends on the teacher's effectiveness in the classroom．Instead of being an enemy，a teacher who corrects you and helps you to achieve can be the best friend you ever had．This kind of thinking，along with a little attitude adjustment，helps you to convert foes to friends，and both of you are better off．●Making friends by being an optimistDo you enjoy being around a pessimist，someone who is generally described as being able to brighten up a room just by leaving it？The answer is obvious．Most people prefer to be around people who believe that tomorrow is going to be better than today，rather than people who believe that today is even worse than yesterday．●Capturing the pleasing personalityHow do you develop a pleasing personality？Here are some steps you can take：Smile when you see someone．You don't have to give a wide grin﹣just a pleasant，friendly smile．Speak in a pleasant，upbeat tone of voice．Talk to people as if they are good friends，even if they don't really fall into that category yet．Take a course in public speaking．The ability to express yourself attracts favorable attention from many sources．Develop a sense of humor．Pick up a couple of joke books．This makes you a little more outgoing and friendly．●Don't criticize unjustlyInstead of being eager to dish out criticism all the time，take the humane and sensible approach．Look for the good in others．Encourage them．Build them up．Most people seldom think through each situation completely and consider the other person's point of view．If you take the time and effort to do this，you'll end up befriending more people．Title：Five ways to cultivate friendship五、读写任务22. 请阅读下面短文，并按照要求用英语写一篇150词左右的文章。
江苏省盐城市2017届高三上学期期中考试仿真模拟英语试题 Word版含答案
高三市期中考试仿真模拟英语试卷第一部分听力（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，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 the man imply?A. He won’t listen to the woman.B. He doesn’t know the woman.C. He mistook the woman for someone else.2. Where might the speakers be?A. In a restaurant.B. At the man’s house.C. In a supermarket.3. What will the man probably do next?A. Check out of his hotel.B. Take some medicine.C. See a doctor.4. What does the woman suggest the man do?A. Get a new car.B. Get a new job.C. Fix his car.5. Why did the girl run into the man?A. She was running too fast.B. She was looking at her phone.C. She was holding too many papers.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2至4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。
南京市、盐城市2017届高三年级第二次模拟试题答案
南京市、盐城市2017届高三年级第二次模拟考试数 学 2017．03注意事项：1．本试卷共4页，包括填空题（第1题~第14题）、解答题（第15题~第20题）两部分．本试卷满分为160分，考试时间为120分钟．2．答题前，请务必将自己的姓名、学校写在答题卡上．试题的答案写在答题卡．．．上对应题目的答案空格内．考试结束后，交回答题卡．一、填空题：本大题共14小题，每小题5分，共70分．请把答案填写在答题卡相应位置．．．．．．．上． 1．函数f (x )＝ln 11－x的定义域为 ▲ ．2．若复数z 满足z (1－i)＝2i （i 是虚数单位），－z 是z 的共轭复数，则z ·－z ＝ ▲ ．3．某校有三个兴趣小组，甲、乙两名学生每人选择其中一个参加，且每人参加每个兴趣小组的可能性相同，则甲、乙不在同一兴趣小组的概率为 ▲ ．4．下表是关于青年观众的性别与是否喜欢戏剧的调查数据，人数如表所示：现要在所有参与调查的人中用分层抽样的方法抽取n 个人做进一步的调研，若在“不喜欢戏剧的男性青年观众”的人中抽取了8人，则n 的值为 ▲ ． 5．根据如图所示的伪代码，输出S 的值为 ▲ ．6．记公比为正数的等比数列{a n }的前n 项和为S n ．若a 1＝1，S 4－5S 2＝0， 则S 5的值为 ▲ ．7．将函数f (x )＝sin x 的图象向右平移π3个单位后得到函数y ＝g (x )的图象，则函数y ＝f (x )＋g (x )的最大值为 ▲ ．8．在平面直角坐标系xOy 中，抛物线y 2＝6x 的焦点为F ，准线为l ，P 为抛物线上一点，P A ⊥l ，A 为垂足．若（第5题图）直线AF 的斜率k ＝－3，则线段PF 的长为 ▲ ． 9．若sin(α－π6)＝35，α∈(0，π2)，则cos α的值为 ▲ ．10．α，β为两个不同的平面，m ，n 为两条不同的直线，下列命题中正确的是 ▲ （填上所有正确命题的序号）．①若α∥β，m ⊂α，则m ∥β； ②若m ∥α，n ⊂α，则m ∥n ； ③若α⊥β，α∩β＝n ，m ⊥n ，则m ⊥β； ④若n ⊥α，n ⊥β，m ⊥α，则m ⊥β．11．在平面直角坐标系xOy 中，直线l 1：kx －y ＋2＝0与直线l 2：x ＋ky －2＝0相交于点P ，则当实数k 变化时，点P 到直线x －y －4＝0的距离的最大值为 ▲ ．12．若函数f (x )＝x 2－m cos x ＋m 2＋3m －8有唯一零点，则满足条件的实数m 组成的集合为 ▲ ． 13．已知平面向量→AC ＝(1，2)，→BD ＝(－2，2)，则→AB •→CD 的最小值为 ▲ ．14．已知函数f (x )＝ln x ＋(e －a )x －b ，其中e 为自然对数的底数．若不等式f (x )≤0恒成立，则ba的最小值为▲ ．二、解答题：本大题共6小题，共计90分．请在答题卡指定区域内．．．．．．．．作答，解答时应写出文字说明、证明过程或演算步骤． 15．（本小题满分14分）如图，在△ABC 中，D 为边BC 上一点，AD ＝6，BD ＝3，DC ＝2． （1）若AD ⊥BC ，求∠BAC 的大小； （2）若∠ABC ＝π4，求△ADC 的面积．ABCD（第15题图2）（第15题图1）DC BA16．（本小题满分14分）如图，四棱锥P －ABCD 中，AD ⊥平面P AB ，AP ⊥AB ． （1）求证：CD ⊥AP ；（2）若CD ⊥PD ，求证：CD ∥平面P AB ；17．（本小题满分14分）在一张足够大的纸板上截取一个面积为3600平方厘米的矩形纸板ABCD ，然后在矩形纸板的四个角上切去边长相等的小正方形，再把它的边沿虚线折起，做成一个无盖的长方体纸盒（如图）．设小正方形边长为x 厘米，矩形纸板的两边AB ，BC 的长分别为a 厘米和b 厘米，其中a ≥b ．（1）当a ＝90时，求纸盒侧面积的最大值；（2）试确定a ，b ，x 的值，使得纸盒的体积最大，并求出最大值．（第17题图）DCBA（第16题图）PDCBA18．（本小题满分16分）如图，在平面直角坐标系xOy 中，焦点在x 轴上的椭圆C ：x 28＋y 2b 2＝1经过点(b ，2e )，其中e 为椭圆C的离心率．过点T (1，0)作斜率为k (k ＞0)的直线l 交椭圆C 于A ，B 两点(A 在x 轴下方)．（1）求椭圆C 的标准方程；（2）过点O 且平行于l 的直线交椭圆C 于点M ，N ，求AT ·BTMN 2的值； （3）记直线l 与y 轴的交点为P ．若AP →＝25TB →，求直线l19．（本小题满分16分）已知函数f (x )＝e x －ax －1，其中e 为自然对数的底数，a ∈R ． （1）若a ＝e ，函数g (x )＝(2－e)x ．①求函数h (x )＝f (x )－g (x )的单调区间；②若函数F (x )＝⎩⎨⎧f (x )，x ≤m ，g (x )，x ＞m的值域为R ，求实数m 的取值范围；（2）若存在实数x 1，x 2∈[0，2]，使得f (x 1)＝f (x 2)，且|x 1－x 2|≥1，求证：e －1≤a ≤e 2－e ．20．（本小题满分16分）已知数列{a n }的前n 项和为S n ，数列{b n }，{c n }满足 (n ＋1) b n ＝a n ＋1－S nn ，(n ＋2) c n ＝ a n ＋1＋a n ＋22－S nn，其中n ∈N*．（1）若数列{a n }是公差为2的等差数列，求数列{c n }的通项公式；（2）若存在实数λ，使得对一切n ∈N*，有b n ≤λ≤c n ，求证：数列{a n }是等差数列．（第18题图）南京市、盐城市2017届高三年级第二次模拟考试数学附加题 2017．03注意事项：1．附加题供选修物理的考生使用． 2．本试卷共40分，考试时间30分钟．3．答题前，请务必将自己的姓名、学校写在答题卡上．试题的答案写在答题卡．．．上对应题目的答案空格内．考试结束后，交回答题卡．21．【选做题】在A 、B 、C 、D 四小题中只能选做2题，每小题10分，共计20分．请在答．卷卡指定区域内．．．．．．．作答．解答应写出文字说明、证明过程或演算步骤．A ．选修4—1：几何证明选讲如图，△ABC 的顶点A ，C 在圆O 上，B 在圆外，线段AB 与圆O 交于点M ． （1）若BC 是圆O 的切线，且AB ＝8，BC ＝4，求线段AM 的长度； （2）若线段BC 与圆O 交于另一点N ，且AB ＝2AC ，求证：BN ＝2MN ．B ．选修4—2：矩阵与变换设a ，b ∈R ．若直线l ：ax ＋y －7＝0在矩阵A = ⎣⎢⎡⎦⎥⎤3 0－1 b 对应的变换作用下，得到的直线为l ′：9x ＋y－91＝0．求实数a ，b 的值．C ．选修4—4：坐标系与参数方程在平面直角坐标系xOy 中，直线l ：⎩⎨⎧x ＝1＋35t ，y ＝45t (t 为参数)，与曲线C ：⎩⎨⎧x ＝4k 2，y ＝4k(k 为参数)交于A ，B 两点，求线段AB 的长．（第21(A)图）D ．选修4—5：不等式选讲设a ≠b ，求证：a 4＋6a 2b 2＋b 4＞4ab (a 2＋b 2)．【必做题】第22题、第23题，每题10分，共计20分．请在答．卷卡指定区域内．．．．．．．作答．解答应写出文字说明、证明过程或演算步骤． 22．（本小题满分10分）如图，在直四棱柱ABCD －A 1B 1C 1D 1中，底面四边形ABCD 为菱形，A 1A ＝AB ＝2， ∠ABC ＝π3，E ，F 分别是BC ，A 1C 的中点．（1）求异面直线EF ，AD 所成角的余弦值； （2）点M 在线段A 1D 上，A 1MA 1D＝λ ．若CM ∥平面AEF ，求实数λ的值．23．（本小题满分10分）现有n (n ＋1)2（n ≥2，n ∈N*）个给定的不同的数随机排成一个下图所示的三角形数阵：* ………………… 第1行 * * ………………… 第2行 * * * ………………… 第3行 …………… …………………* * ………… * * ………………… 第n 行设M k 是第k 行中的最大数，其中1≤k ≤n ，k ∈N*．记M 1＜M 2＜…＜M n 的概率为p n ． （1）求p 2的值；（2）证明：p n ＞C 2n ＋1(n ＋1)!．南京市、盐城市2017届高三年级第二次模拟考试数学参考答案及评分标准D 1C 1 B 1MFED C BAA 1（第22题图）一、填空题（本大题共14小题，每小题5分，计70分.）1．(－∞，1) 2．2 3．23 4．30 5．17 6．317． 3 8． 6 9．43－310 10．①④ 11．3 2 12．{2}13．－94 14．－1e二、解答题（本大题共6小题，计90分．解答应写出必要的文字说明，证明过程或演算步骤） 15．（本小题满分14分）解：（1）设∠BAD ＝α，∠DAC ＝β． 因为AD ⊥BC ，AD ＝6，BD ＝3，DC ＝2，所以tan α＝12，tan β＝13， ………………… 2分所以tan ∠BAC ＝tan(α＋β)＝tan α＋tan β1－tan αtan β＝12＋131－12×13＝1． ………………… 4分又∠BAC ∈(0，π)，所以∠BAC ＝π4． ………………… 6分（2）设∠BAD ＝α．在△ABD 中，∠ABC ＝π4，AD ＝6，BD ＝3．由正弦定理得 AD sin π4＝BD sin α， 解得sin α＝24． ………………… 8分因为AD ＞BD ，所以α为锐角，从而cos α＝1－sin 2α＝144． ………………… 10分 因此sin ∠ADC ＝sin(α＋π4)＝sin αcos π4＋cos αsin π4＝22(24＋144)＝1＋74． ………………… 12分 △ADC 的面积S ＝12×AD ×DC ·sin ∠ADC＝12×6×2×1＋74＝32(1＋7)． ………………… 14分16．（本小题满分14分）证明：（1）因为AD ⊥平面P AB ，AP ⊂平面P AB ，所以AD ⊥AP ． ………………… 2分 又因为AP ⊥AB ，AB ∩AD ＝A ，AB ⊂平面ABCD ，AD ⊂平面ABCD ，所以AP ⊥平面ABCD ． ………………… 4分 因为CD ⊂平面ABCD ，所以CD ⊥AP ． ………………… 6分 （2）因为CD ⊥AP ，CD ⊥PD ，且PD ∩AP ＝P ，PD ⊂平面P AD ，AP ⊂平面P AD ， 所以CD ⊥平面P AD ． ① ………………… 8分 因为AD ⊥平面P AB ，AB ⊂平面P AB ， 所以AB ⊥AD ．又因为AP ⊥AB ，AP ∩AD ＝A ，AP ⊂平面P AD ，AD ⊂平面P AD ，所以AB ⊥平面P AD ． ② ………………… 10分 由①②得CD ∥AB ， ………………… 12分 因为CD / 平面P AB ，AB ⊂平面P AB ，所以CD ∥平面P AB ． ………………… 14分 17．（本小题满分14分）解：（1）因为矩形纸板ABCD 的面积为3600，故当a ＝90时，b ＝40， 从而包装盒子的侧面积S ＝2×x (90－2x )＋2×x (40－2x )＝－8x 2＋260x ，x ∈(0，20) ． ………………… 3分因为S ＝－8x 2＋260x ＝－8(x －654)2＋42252，故当x ＝654 时，侧面积最大，最大值为 42252平方厘米．答：当x ＝654 时，纸盒的侧面积的最大值为42252平方厘米． ………………… 6分（2）包装盒子的体积V ＝(a －2x )(b －2x ) x ＝x [ab －2(a ＋b )x ＋4x 2]，x ∈(0，b2)，b ≤60．…………… 8分V ＝x [ab －2(a ＋b )x ＋4x 2]≤x (ab －4abx ＋4x 2)＝x (3600－240x ＋4x 2)＝4x 3－240x 2＋3600x ． ………………… 10分当且仅当a ＝b ＝60时等号成立．设f (x )＝4x 3－240x 2＋3600x ，x ∈(0，30)． 则f ′ (x )＝12(x －10)(x －30)．于是当0＜x ＜10时，f ′ (x )＞0，所以f (x )在(0，10)上单调递增；当10＜x ＜30时，f ′ (x )＜0，所以f (x )在(10，30)上单调递减．因此当x ＝10时，f (x )有最大值f (10)＝16000， ……………… 12分 此时a ＝b ＝60，x ＝10．答：当a ＝b ＝60，x ＝10时纸盒的体积最大，最大值为16000立方厘米．……………… 14分18．（本小题满分16分）解：（1）因为椭圆 x 28＋y 2b 2＝1经过点(b ，2e )，所以b 28＋4e 2b2＝1．因为e 2＝c 2a 2＝c 28，所以b 28＋c 22b2＝1． 因为a 2＝b 2＋c 2，所以b 28＋8－b 22b2＝1． …………………… 2分 整理得 b 4－12b 2＋32＝0，解得b 2＝4或b 2＝8(舍) ．所以椭圆C 的方程为x 28＋y 24＝1． …………………… 4分（2）设A (x 1，y 1)，B (x 2，y 2)．因为T (1，0)，则直线l 的方程为y ＝k (x －1)．联立直线l 与椭圆方程 ⎩⎪⎨⎪⎧y ＝k (x －1)，x 28＋y 24＝1，消去y ，得 (2k 2＋1)x 2－4k 2x ＋2k 2－8＝0，所以⎩⎨⎧x 1＋x 2＝4k 22k 2＋1，x 1x 2＝2k 2－8 2k 2＋1．……………… 6分因为MN ∥l ，所以直线MN 方程为y ＝kx ， 联立直线MN 与椭圆方程⎩⎪⎨⎪⎧y ＝kx ，x 28＋y 24＝1，消去y 得 (2k 2＋1)x 2＝8，解得x 2＝82k 2＋1．因为MN ∥l ，所以AT ·BT MN 2＝(1－x 1)·(x 2－1)(x M －x N )2． …………………… 8分 因为 (1－x 1)·(x 2－1)＝－[x 1x 2－(x 1＋x 2)＋1]＝72k 2＋1，(x M －x N )2＝4x 2＝322k 2＋1，所以 AT ·BT MN 2＝(1－x 1)·(x 2－1)(x M －x N )2＝72k 2＋1·2k 2＋132＝732． ………………… 10分（3）在y ＝k (x －1)中，令x ＝0，则y ＝－k ，所以P (0，－k )，从而 AP →＝(－x 1,－k －y 1)， TB →＝(x 2－1，y 2)．因为 AP →＝25TB →，所以－x 1＝25(x 2－1)，即x 1＋25x 2＝25．…………………… 12分由(2)知， ⎩⎨⎧x 1＋x 2＝4k 22k 2＋1，x 1x 2＝2k 2－8 2k 2＋1．由⎩⎨⎧x 1＋x 2＝4k 22k 2＋1，x 1＋25x 2＝25，解得 x 1＝－4k 2＋23(2k 2＋1)，x 2＝16k 2－23(2k 2＋1)． ……………… 14分因为x 1x 2＝2k 2－8 2k 2＋1， 所以 －4k 2＋23(2k 2＋1)×16k 2－23(2k 2＋1)＝2k 2－82k 2＋1，整理得 50k 4－83k 2－34＝0，解得k 2＝2或k 2＝－1750(舍) ．又因为k ＞0，所以k ＝2． …………………… 16分 19．（本小题满分16分）解：（1）当a ＝e 时，f (x )＝e x －e x －1．① h (x )＝f (x )－g (x )＝e x －2x －1，h ′ (x )＝e x －2． 由h ′ (x )＞0得x ＞ln2，由h ′ (x )＜0得x ＜ln2．所以函数h (x )的单调增区间为 (ln2，＋∞)，单调减区间为 (－∞，ln2)．………………… 3分② f ′ (x )＝e x －e ．当x ＜1时，f ′ (x )＜0，所以f (x )在区间(－∞，1)上单调递减； 当x ＞1时，f ′ (x )＞0，所以f (x )在区间(1，＋∞)上单调递增．1° 当m ≤1时，f (x )在(－∞，m ]上单调递减，值域为[e m －e m －1，＋∞)，g (x )＝(2－e)x 在(m ，＋∞)上单调递减，值域为(－∞，(2－e)m )，因为F (x )的值域为R ，所以e m －e m －1≤(2－e)m ， 即e m －2m －1≤0． （*）由①可知当m ＜0时，h (m )＝e m －2m －1＞h (0)＝0，故（*）不成立．因为h (m )在(0，ln2)上单调递减，在(ln2，1)上单调递增，且h (0)＝0，h (1)＝e －3＜0， 所以当0≤m ≤1时，h (m )≤0恒成立，因此0≤m ≤1． ………………… 6分 2° 当m ＞1时，f (x )在(－∞，1)上单调递减，在(1，m ]上单调递增，所以函数f (x )＝e x －e x －1在(－∞，m ]上的值域为[f (1)，＋∞)，即[－1，＋∞)． g (x )＝(2－e)x 在(m ，＋∞)上单调递减，值域为(－∞，(2－e)m )． 因为F (x )的值域为R ，所以－1≤(2－e)m ，即1＜m ≤1e －2． 综合1°，2°可知，实数m 的取值范围是[0，1e －2]． ………………… 9分 （2）f ′ (x )＝e x －a ．若a ≤0时，f ′ (x )＞0，此时f (x )在R 上单调递增． 由f (x 1)＝f (x 2)可得x 1＝x 2，与|x 1－x 2|≥1相矛盾，所以a ＞0，且f (x )在(－∞，ln a ]单调递减，在[ln a ，＋∞)上单调递增．…………………… 11分 若x 1，x 2∈(－∞，ln a ]，则由f (x 1)＝f (x 2)可得x 1＝x 2，与|x 1－x 2|≥1相矛盾， 同样不能有x 1，x 2∈[ln a ，＋∞)．不妨设0≤x 1＜x 2≤2，则有0≤x 1＜ln a ＜x 2≤2．因为f (x )在(x 1，ln a )上单调递减，在(ln a ，x 2)上单调递增，且f (x 1)＝f (x 2)， 所以当x 1≤x ≤x 2时，f (x )≤f (x 1)＝f (x 2)． 由0≤x 1＜x 2≤2，且|x 1－x 2|≥1，可得1∈[x 1，x 2]，故f (1)≤f (x 1)＝f (x 2)． …………………… 14分 又f (x )在(－∞，ln a ]单调递减，且0≤x 1＜ln a ，所以f (x 1)≤f (0)， 所以f (1)≤f (0)，同理f (1)≤f (2)．即⎩⎨⎧e －a －1≤0，e －a －1≤e 2－2a －2，解得e －1≤a ≤e 2－e －1， 所以 e －1≤a ≤e 2－e ． …………………… 16分 20．（本小题满分16分）解：（1）因为{a n }是公差为2的等差数列，所以a n ＝a 1＋2(n －1)，S nn ＝a 1＋n －1， …………………… 2分从而 (n ＋2) c n ＝a 1＋2n ＋a 1＋2(n ＋1)2－(a 1＋n －1)＝n ＋2，即c n ＝1． ……… 4分（2）由(n ＋1)b n ＝a n ＋1－S nn，得n (n ＋1) b n ＝na n ＋1－S n ，(n ＋1)(n ＋2) b n ＋1＝(n ＋1)a n ＋2－S n ＋1，两式相减，并化简得a n ＋2－a n ＋1＝(n ＋2) b n ＋1－nb n ． ……………………… 6分 从而 (n ＋2) c n ＝ a n ＋1＋a n ＋22－S n n ＝ a n ＋1＋a n ＋22－[a n ＋1－(n ＋1) b n ]＝a n ＋2－a n ＋12＋(n ＋1) b n ＝(n ＋2) b n ＋1－nb n2＋(n ＋1) b n＝12(n ＋2)( b n ＋b n ＋1)． 因此c n ＝12( b n ＋b n ＋1)． ……………………… 9分因为对一切n ∈N*，有b n ≤λ≤c n ，所以λ≤c n ＝12(b n ＋b n ＋1)≤λ，故b n ＝λ，c n ＝λ． ……………………… 11分 所以 (n ＋1)λ＝a n ＋1－S nn， ①(n ＋2)λ＝12(a n ＋1＋a n ＋2)－S nn ， ②②－①，得12(a n ＋2－a n ＋1)＝λ，即a n ＋2－a n ＋1＝2λ．故a n ＋1－a n ＝2λ (n ≥2)． ……………………… 14分 又2λ＝a 2－S 11＝a 2－a 1，则a n ＋1－a n ＝2λ (n ≥1)．所以数列{a n }是等差数列． ……………………… 16分南京市、盐城市2017届高三年级第一次模拟考试数学附加参考答案及评分标准21．【选做题】在A 、B 、C 、D 四小题中只能选做2题，每小题10分，共计20分．请在答卷卡指定区域内作答．解答应写出文字说明、证明过程或演算步骤．A ．选修4—1：几何证明选讲解：（1）因为BC 是圆O 的切线，故由切割线定理得BC 2＝BM ·BA ． …………… 2分 设AM ＝t ，因为AB ＝8，BC ＝4，所以42＝8(8－t )，解得t ＝6 ，即线段AM 的长度为6． ………………………… 4分 （2）因为四边形AMNC 为圆内接四边形，所以∠A ＝∠MNB ． …………………… 6分 又∠B ＝∠B ，所以△BMN ∽△BCA ， ……………………… 8分 所以BN BA ＝MN CA．因为AB ＝2AC ，所以BN ＝2MN ． ……………………… 10分 B ．选修4—2：矩阵与变换解：（方法一）在直线l ：ax ＋y －7＝0取点A (0，7)，B (1，7－a )．因为 ⎣⎢⎡⎦⎥⎤ 3 0－1 b ⎣⎡⎦⎤ 0 7＝⎣⎡⎦⎤ 0 7b ，⎣⎢⎡⎦⎥⎤ 3 0－1 b ⎣⎡⎦⎤ 1 7－a ＝⎣⎡⎦⎤3 b (7－a )－1， …………… 4分 所以A (0，7)，B (1，7－a )在矩阵A 对应的变换作用下分别得到点A ′(0，7b )，B ′(3，b (7－a )－1)．由题意，知A ′，B ′在直线l ′：9x ＋y －91＝0上，所以 ⎩⎨⎧7b －91＝0，27＋b (7－a )－1－91＝0．…………… 8分解得a ＝2，b ＝13． …………… 10分 （方法二）设直线l 上任意一点P (x ，y )，点P 在矩阵A 对应的变换作用下得到点Q (x ′，y ′)．因为 ⎣⎢⎡⎦⎥⎤ 3 0－1 b ⎣⎡⎦⎤ x y ＝⎣⎡⎦⎤x ′ y ′，所以⎩⎨⎧x ′＝3x ，y ′＝－x ＋by ． …………… 4分又因为点Q (x ′，y ′)在直线l ′上，所以9x ′＋y ′－91＝0． 即27x ＋(－x ＋by )－91＝0，也即26x ＋by －91＝0，又点P (x ，y )在直线l 上，所以有ax ＋y －7＝0． …………… 8分 所以26a ＝b 1＝－91－7，解得a ＝2，b ＝13． …………… 10分C ．选修4—4：坐标系与参数方程解：（方法一）直线l 的参数方程化为普通方程得4x －3y ＝4，将曲线C 的参数方程化为普通方程得y 2＝4x ． ……………… 4分联立方程组⎩⎨⎧4x －3y ＝4，y 2＝4x ， 解得 ⎩⎨⎧x ＝4，y ＝4或⎩⎪⎨⎪⎧x ＝14，y ＝－1．所以A (4，4)，B (14，－1)． ……………… 8分所以AB ＝(4－14)2＋(4＋1)2＝254． ……………… 10分（方法二）将曲线C 的参数方程化为普通方程得y 2＝4x ． ……………… 2分 直线l 的参数方程代入抛物线C 的方程得 (45t )2＝4(1＋35t )，即4t 2－15t －25＝0，所以 t 1＋t 2＝154，t 1t 2＝－254． ……………… 6分所以AB ＝|t 1－t 2|＝(t 1＋t 2)2－4t 1t 2 ＝(154)2＋25＝254． ……………… 10分 D ．选修4—5：不等式选讲证明： a 4＋6a 2b 2＋b 4－4ab (a 2＋b 2)＝(a 2＋b 2)2－4ab (a 2＋b 2)＋4a 2b 2＝(a 2＋b 2－2ab )2＝(a －b )4． ……………… 5分 因为a ≠b ，所以(a －b )4＞0， 所以a 4＋6a 2b 2＋b 4＞4ab (a 2＋b 2)．…………… 10分【必做题】第22题、第23题，每题10分，共计20分．请在答．卷卡指定区域内．．．．．．．作答．解答应写出文字说明、证明过程或演算步骤． 22．（本小题满分10分）解：因为四棱柱ABCD －A 1B 1C 1D 1为直四棱柱，所以A 1A ⊥平面ABCD ． 又AE ⊂平面ABCD ，AD ⊂平面ABCD ，所以A 1A ⊥AE ，A 1A ⊥AD ． 在菱形ABCD 中∠ABC ＝π3，则△ABC 是等边三角形．因为E 是BC 中点，所以BC ⊥AE ． 因为BC ∥AD ，所以AE ⊥AD ．以{→AE ，→AD ，→AA 1}为正交基底建立空间直角坐标系．则A (0，0，0)，C (3，1，0)，D (0，2，0)， A 1(0，0，2)，E (3，0，0)，F (32，12，1)．B (第22题图)（1）→AD ＝(0，2，0)，→EF ＝(－32，12，1)，所以→AD ·→EF ＝1．从而cos ＜→AD ，→EF ＞＝→AD ·→EF |→AD |·|→EF |＝24．故异面直线EF ，AD 所成角的余弦值为24． ……………… 4分 （2）设M (x ，y ，z )，由于点M 在线段A 1D 上，且A 1MA 1D＝λ， 则→A 1M ＝λ→A 1D ，即(x ，y ，z －2)＝λ(0，2，－2)．则M (0，2λ，2－2λ)，→CM ＝(－3，2λ－1，2－2λ)． ……………… 6分 设平面AEF 的法向量为n ＝(x 0，y 0，z 0)． 因为 →AE ＝(3，0，0)，→AF ＝(32，12，1)，由n ·→AE ＝0，n ·→AF ＝0，得x 0＝0，12y 0＋z 0＝0．取y 0＝2，则z 0＝－1，则平面AEF 的一个法向量为n ＝(0，2，－1)． ……………… 8分 由于CM ∥平面AEF ，则n ·→CM ＝0，即2(2λ－1)－(2－2λ)＝0，解得λ＝23．……………… 10分23．（本小题满分10分）解：（1）由题意知p 2＝2A 22A 33＝23， 即p 2的值为 23． ……………… 3分（2）先排第n 行，则最大数在第n 行的概率为n n (n ＋1)2＝2n ＋1； ……………… 5分去掉第n 行已经排好的n 个数，则余下的n (n ＋1)2－n ＝n (n －1)2个数中最大数在第n －1行的概率为n n (n －1)2＝2n；……故p n ＝2n ＋1×2n×…×23＝2n －1(n ＋1)×n ×…×3＝2n(n ＋1)!． ……………… 7分由于2n ＝(1＋1)n ＝C 0n ＋C 1n ＋C 2n ＋…＋C n n ≥C 0n ＋C 1n ＋C 2n ＞C 1n ＋C 2n ＝C 2n ＋1，故2n (n ＋1)!＞C 2n ＋1(n ＋1)!，即p n ＞C 2n ＋1(n ＋1)!． ………………。
江苏省南京市、盐城市2017届高三第一次模拟考试 英语含答案
南京市、盐城市2017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. What color are the gloves?A. Blue.B. Green.C. Yellow.2. Where is the bookstore?A. Near a hotel.B. On the left of a hospital.C. On the right side of Main Street.3. When will the next underground arrive?A. At 1:55.B. At 2:00.C. At 2:05.4. Why can‟t the lect ure be held tomorrow?A. The CEO won‟t be available then.B. The lecture hall isn‟t big enough.C. The equipment in the lecture hall doesn‟t work.5. What are the speakers talking about?A. WeChat.B. Online shopping.C. The man‟s grandma.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、盐城市高三数学第二次模拟考试试题(扫描版)
江苏省南京市、盐城市2017届高三数学第二次模拟考试试题（扫描版）
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江苏省南京市、盐城市2017届高三第一次模拟考试 英语
南京市、盐城市2017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. What color are the gloves?A. Blue.B. Green.C. Yellow.2. Where is the bookstore?A. Near a hotel.B. On the left of a hospital.C. On the right side of Main Street.3. When will the next underground arrive?A. At 1:55.B. At 2:00.C. At 2:05.4. Why c an‟t the lecture be held tomorrow?A. The CEO won‟t be available then.B. The lecture hall isn‟t big enough.C. The equipment in the lecture hall doesn‟t work.5. What are the speakers talking about?A. WeChat.B. Online shopping.C. The man‟s grandma.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2017届高三第一次模拟考试 英语.doc
南京市、盐城市2017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. What color are the gloves?A. Blue.B. Green.C. Yellow.2. Where is the bookstore?A. Near a hotel.B. On the left of a hospital.C. On the right side of Main Street.3. When will the next underground arrive?A. At 1:55.B. At 2:00.C. At 2:05.4. Why can’t the lecture be held tomorrow?A. The CEO won’t be available then.B. The lecture hall isn’t big enough.C. The equipment in the lecture hall doesn’t work.5. What are the speakers talking about?A. WeChat.B. Online shopping.C. The man’s grandma.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。
高中英语真题：2017届高三上学期第二次模拟考试英语试题 Word版.doc
高中英语真题：2017届高三上学期第二次模拟考试英语试题Word版.doc一、阅读理解(共4题)1.Master painter Zhang Daqian (1899-1983) was well known for having a large number of friends and students. Among them, painter Li Qiujun was special.They got to know each other through Li's elder brother, who was one of Zhang's best friends.They admired each other's artistic talent and became confidants, which resulted in a romantic relationship.In 1948, Zhang produced Spring Clouds Amid Autumn Landscape, a mountain-and-water ink painting featuring gongbi (meticulous brushwork), as a gift for Li's 50th birthday.A year later, Zhang permanently departed from the mainland, and traveled and exhibited around the world before settling down in Taipei in1976.After leaving the mainland, he often said that he missed Li, who died in Shanghai in 1973.Spring Clouds Amid Autumn Landscape will be auctioned in Hong Kong on Oct 4.The painting not only marks a friendship between the two painters, but it deserves special attention because it shows Zhang at the top of his game as he sought to master the mountain-and-water style, according to C.K. Cheung, head of Sotheby's Chinese painting department.Sotheby's will auction the work at its major autumn sale, which runs from Oct 1 to 5.Cheung says the painting's composition and Zhang's attention to details reflect his incorporation of traditional touches, especially from Song Dynasty (960-1279) paintings, while also developing his own style.21. The underlined word “confidants” in paragraph 3 probably means ____.A. enemiesB. collegesC. friendsD. painters22. How old was Li Qiujun when she died?A. 50B. 75C. 78D. 8423. According to the passage, which of the following is NOT true?A. Spring Clouds Amid Autumn Landscape was originally a gift for Li's 50th birthday.B. Zhang Daqian permanently departed from the mainland in 1949.C. Sotheby's will auction Spring Clouds Amid Autumn Landscape inHong Kong.D. Li Qiujun's elder brother was also one of ZhangDaqian's students.2.A new international study shows that some people's biological clock plays a powerful role for their life expectancy, regardless of lifestyle choices.Published in the latest issue of Aging on Wednesday, the study has found the most definitive evidence to explain why some people keep healthy lifestyle but die younger than others.Geneticist Steve Horvath from the University of California, Los Angeles (UCLA), led a team of 65 scientists around the world to record age-related changes to human DNA, analyse blood samples collected from 13,000 people and estimate their lifespan.A higher biological age, regardless of actual age, consistently predicts an earlier death, the study says."You get people who are vegan, sleep 10 hours a day, have a low-stress job, and still end up dying young," Horvath said in a statement. "We have shown some people have a faster innate aging rate."The findings discovered that 5 percent of the population ages at a faster biological rate, which translated to a roughly 50 percent higher than average risk of death at any age."The great hope is that we find anti-aging interventions that would slow your innate aging rate," Horvath said, adding that "this is an important milestone to realizing this dream."24. Some people keep healthy lifestyle but die younger than others because ______.A. their biological clock is not powerful enoughB. the most definitive evidence has been foundC. they have a higher actual age than othersD. they ages at a relatively faster biological rate25. How was the study conducted?A. By collecting and analyzing dataB. By interviewing lots of peopleC. By researching previous studiesD. By studying different lifestyles26. According to the study, it can be inferred that ______.A. people who keep healthy lifestyle tend to live longerB. people’s lifespan can be predicted by their ageC. 5 percent of people are believed to have a faster innate aging rateD. anti-aging interventions have proved to slow the innate aging rate27. Which of the following would be the best title for the passage?A. We all should keep healthy lifestyleB. Geneticist finds anti-aging interventionsC. Biological clock predicts life expectancyD. Horvath builds an important milestone3.As a Chinese saying goes, “Taste is actually a memory of childhood”. Local specialty food may not be popular among all people, but it offers outsiders a glimpse of local culture and history.Gongcheng “oil tea” is such a kind of food that would be considered “weird” by ma ny first-time visitors to the remote county in the north of the Guangxi Zhuang Autonomous Region. Many people dislike its bitter and astringent（涩的）flavor when they take a sip.“It felt like drinking Chinese herbal medicine. I never expected that I wou ld gradually accept it afterwards, and even become addicted to it,” said a traveler surnamed Zhang who comes from Shijiazhuang in northern China’s Hebei province.Langshan village is said to be the birthplace of Gongcheng “oil tea” whose ideal ingredients are green tea and fermented tea. The village has preserved well its buildings and roads dating back to late Qing Dynasty (1644-1911), as well as its traditional way of making the special tea.Lin Fengyou, 60, introduced the cooking process. She looks younger than her age, and attributes this to the benefits of drinking “oil tea” throughout the year.The first procedure is to use a wooden hammer to pound the tea whileheating it in an iron pot, and then add edible oil and boiled water afterwards. She filters off the solid residues（余渣）, and pours the glue-like green tea soup into bowls. Then, she adds salt, caraway seed, green onion, dried rice, fried groundnuts, sliced taro and fried beans.The taste of the “oil tea” is a mixture of the distin ctive flavors of all its ingredients. Local people usually eat it together with glutinous rice（糯米）balls, rice dumplings and glutinous rice cake.The villagers consume “oil tea” three times a day. The tea soup is a healthy and refreshing food. “The tea soup to us is coffee to Westerners”, said Lin. “But it is tastier.”28. Many first-time visitors may find “oil tea” ______ when taking a sip.A. popularB. strangeC. addictedD. beneficial29. What can we learn about Lin Fengyou according to the passage?A. She never expected that she would gradually accept “oil tea”.B. She is one of the reasons why the special tea has been preserved.C. She thinks drinking “oil tea” throughout the year makes her look younger.D. She drinks “oil tea” three times every day and considers coffee tastier.30. Which is the correct order of cooking “oil tea” according to Lin Fengyou?a. pour the glue-like green tea soup into bowlsb. heat the tea in an iron pot and pound the teac. add salt, caraway seed, green onion, dried rice, etcd. add edible oil and boiled watere. filter off the solid residuesA. bdeacB. dbaceC. acebdD. beadc31. Which column is this passage probably taken from?A. Culture & EducationB. EntertainmentC. HealthD. Travel4.China's largest search engine Baidu has said it will make its latestartificial intelligence (AI) technology accessible to developers and businesses as part of the company's latest move into AI, big data and cloud computing.AI solution "Tianzhi" was launched at a cloud-computing summit held in Beijing Wednesday. It includes services in three fields: sensing technology, such as image and voice processing, machine learning, and deep learning, an advanced form of machine learning, said Zhang Yaqin, CEO of the Nasdaq-listed company, at the summit.Developers can access facial or voice recognition, algorithms（演算法）for data analysis and projections, and deep learning applications, Zhang said, adding that the technology could help users innovate in their sectors."With more devices connected to the cloud, enterprises will use cloud computing and AI more frequently," said Wu Hequan, an academician at the Chinese Academy of Engineering, "Open AI technology can play a bigger role."The company also revealed a plan to invest 10 billion yuan (1.45 billion U.S. dollars) in cloud computing in the next five years and establish an innovation center, which will serve 10 million enterprises.32. What is the main idea of paragraph one?A. Baidu will further develop its latest AI technology.B. Baidu has attracted developers’ and businesses’ attention.C. Users will be able to access Baidu’s latest AI technology.D. A company will move to AI, big data and cloud computing.33. “Tianzhi” i ncludes services in the following fields EXCEPT _____.A. sensing technologyB. voice processingC. machine learningD. deep learning34. What does the underlined sentence in paragraph four probably mean?A.It’s important for AI technology to be open.B.AI technology is more important than the cloud.C.People aren’t aware of the importance of AI technology.D.Enterprises will hardly benefit from open AI technology.35. What is Baidu’s next move according to the last paragraph?A. Reveal a plan to invest in cloud computing.B. Invest 10 billion yuan to serve enterprises.C. Get invested from enterprises in the next five years.D. Invest in computing and build an innovation center.二、未分类(共2题)1.It is very common for you to find yourself in an unfamiliar situation. 36 Yes, everyone tells you to stand on your own two feet and take responsibility for your action, but if you haven’t experienced a situation before, how can you know what to do?We usually try our best to do everything on our own and not to rely on others, but at certain times calling for help is the best way forward. You canpicture the scene of the man--it is usually a man--driving blindly around an unfamiliar town looking for an address he doesn’t know. 37 And he could get to his appointment on time. It is obvious to everybody in such a case that asking for help is not a sign of weakness, but rather the sensible thing to do.38 For example, you are looking for a new job and need to write your resume（简历）. If your pride prevents you from getting help and you just do the writing yourself, it may well cost the opportunity you are seeking. Similarly, when you just started a new job, you often don’t want to admit that you haven’t got the knowledge to finish a particular task, so you keep going and eventually make things worse than they were. This may lead to a diminishing（贬低）of you in the eyes of the boss. 39Now you can see that asking for help is not a sign of weakness but is the sensible and mature thing to do. 40 Making your life easier by asking for and using knowledgeable help is not a sign of weakness, but is actually quite a clever thing to do.A. What’s worse, you are most likely to lose the new job.B. Actually speaking, asking for help is not a sign of weakness.C. There are times when you know you don’t have the relevant experience.D. If only he would stop and ask for directions, he could save lots of time.E. However, many people tend to make mistakes over and over when help is available.F. You will also recognize expert help would save your time, energy and money.G. You can accustom yourself to asking for help sooner or later.2. I’ve dreamed of becoming a writer since I was a teenager. But 61_____ isn’t easy to get a book of mine published. 62_____ I’ve tried hard, none of my books have been published. This is really 63_____ (upset).This morning, I received a call from a publisher and 64_____ (tell) onceagain that there was no way my book would be published. 65_____ (feel) sad, I left home and went to the park near my apartment. At the park, I sat down on the bench near the grass.While I was sitting there, I saw a little boy about one and a half years old. He was running on the grass, 66_____ his mother not far behind him. He looked so happy when he enjoyed the 67_____ (free) of running on the grass. He then fell on the grass, but he quickly got up and continued 68_____ (run) as fast as he could again even without looking back at his mother. He was still running with a smile on his face, as if nothing 69_____ (happen).Seeing that, I was truly inspired. I 70_____ (sudden) realized that I shouldn’t get discouraged after experiencing failure. Instead, I should cheer up and keep on trying.三、完型填空(共1题)1.I remember quite well a day 17 years ago. That day, our twin sons, Chad and Brad, __41__ their car and left home to attend college. I realized that our __42__ would soon become a “table for two”. __43__, the boys would come home on the weekends, but __44__, I knew our family life would never be exactly the same again.The boys walked around each room to __45__ they hadn’t forgotten anything they needed. I packed a cooler with __46__ and their favorite cold snacks. I found a box and filled it with essential __47__ items. I thought theymight go to bed hungry that night. I __48__ my wallet and placed the little bit of __49__ I had in their hands.We all walked __50__. Chad and Brad gave me big __51__ and quickly got into their car. I __52__ as they drove away. When their car was __53__, I sat down on the driveway and cried __54__ than I had cried in a long time. My husband Roy tried to __55__ me, but I could see grief in his eyes, as well.There are many parents who would __56__ this period. Bittersweet feelings will be __57__ while I cannot explain them adequately. I can still remember __58__ I felt when we began that new chapter in our lives.__59__ time going by, however, Roy and I are now accustomed to our table for two and we enjoy our lives together. I have to admit I still miss our children and the old __60__ we had together.41.A.repaired B.washed C.loaded D.decorated42.A.room B.garden C.chair D.table43.A.So B.Yet C.Sure D.Therefore44.A.even then B.even so C.ever since D.ever after45.A.make sure B.look around C.think about D.sort out46.A.water B.drinks C.wine D.medicine47.A.food B.clothes C.book D.supply48.A.tidied B.cleaned C.closed D.emptied49.A.paper B.goods C.cash D.check50.A.outside B.indoors C.forward D.backward51.A.smiles B.stares C.kisses D.hugs52.A.talked B.waved C.ran D.cried53.A.traveling B.rushing C.out of order D.out of sight54.A.harder B.lighter C.more heavily D.more firmly55.A.delight B.persuade fort D.help56.A.adventure B.experience C.look for D.depend on57.A .absent B.present C.returning D.concealing58.A.what B.when C.why D.how59.A.With B.As C.For D.About60.A.tables B.houses C.times D.lives四、短文改错(共1题)1. 假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。
（完整版）2017届高考英语二模试题
（完整版）2017届高考英语二模试题2017届高考英语二模试题第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、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。
例：Hw uh is the shirt?A. &pund;19.15.B. &pund;9.18. &pund;9.15.答案：1. h is ing fr tea?A. ark.B. hn.. Tray.2. hat is the weather like nw?A. Rainy.B. l.. Ht.3. hat will the an d next?A. Stay fr dinner.B. G t the railway statin.. Prepare fr the dinner quikly.4. here will the wan fly t?A. iai.B. New yrk ity.. ashingtn, D.5. Hw des the an find his present b?A. It is rewarding.B. It is well-paid.. It is easy.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、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。
听第6段材料，回答第6、7题。
6. hat is the wan’s favurite sprt?A. Basketball.B. Badintn.. Tennis.7. hat are the tw speakers ging t d tday?A. Play tennis.B. G t a basketball lub.. ath a badintn ath.听第7段材料，回答第8、9题。
江苏省南京市、盐城市2017届高三第一次模拟考试英语试题(含答案)
南京市、盐城市2017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. What color are the gloves?A. Blue.B. Green.C. Yellow.2. Where is the bookstore?A. Near a hotel.B. On the left of a hospital.C. On the right side of Main Street.3. When will the next underground arrive?A. At 1:55.B. At 2:00.C. At 2:05.4. Why can’t the lecture be held tomorrow?A. The CEO won’t be available then.B. The lecture hall isn’t big enough.C. The equipment in the lecture hall doesn’t work.5. What are the speakers talking about?A. WeChat.B. Online shopping.C. The man’s grandma.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。