2015-2016学年云南省昆明市第三中学高一下学期期中考试英语试卷 word版

昆明三中2013-2014学年下学期高一年级期中考试英语注意事项：答题前，考生务必用黑色碳素笔将自己的姓名、考号、考场号、座位号在答题卡上填写清楚。

客观题（选择题）选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其他答案标号，在试题卷上作答无效。

主观题（非选择题）用黑色碳素笔在答题卡上各题的答题区域内作答，在试题上作答无效。

本试卷分第Ⅰ卷和第Ⅱ卷两部分。

满分100分，考试时间120分钟。

第Ⅰ卷第一部分：听力(共20小题，满分10分)（共5小题；每小题0.5，满分2.5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提示和阅读下一小题。

每段对话仅读一遍。

请听下面5段对话，选出最佳选项。

1. What’s the man probably doing?A. Studying.B. Sleeping.C. Watching TV.2. What’s the possible relationship between the two speakers?A. Husband and wife.B. Manager and clerk.C. Doctor and patient.3. Where does the man probably come from?A. The Middle East.B. Latin America.C. North America.4. Why does the man refuse to talk to Jim again?A. Jim isn’t his friend.B. Jim spoke ill of him.C. Jim made fun of him.5. What will the man do tonight?A. Take a history exam.B. Buy a record.C. Watch a game.（共15小题；每小题0.5分，满分7.5分）请听下面5段对话或独白，选出最佳选项。

云南省昆明三中2015—2016学年度下学期期中考试高二英语试题本试卷分第一卷(选择题)和第二卷(非选择题)两部分。

第一卷第1页至第8页。

第二卷第9至10页。

满分150分,考试时间120分钟。

注意事项：1.答题前,考生在答题卡上务必用黑色或蓝色钢笔将自己的姓名、考号填写清楚。

2.每小题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑,如需改动,用橡皮擦干净后,再选涂其他答案标号,在试题卷上作答无效。

第Ⅰ卷(选择题, 共100分)第一部分：听力(共20小题,满分30分)第一节（共5小题；每小题1.5,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。

请听下面5段对话,选出最佳选项。

1.How will the woman go to the hospital?A. By taxi.B. By motorcycle.C. By bus.2.Where is the man probably now?A. At home.B. In the office.C. In a restaurant.3.Who is coming for tea?A. Mark.B. John.C. Tracy.4.What is the man’s second present?A. A watch.B. A car.C. A computer.5.When will the man call the woman?A. At 5:30 pm.B. At 6:00 pm.C. At 6:30 pm.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。

2015年高一（下）英语期中考试试题总分：150分时间: 120 分钟第一卷第一部分：听力（共两节，满分30分）第一节（共5小题；每小题1.5分, 满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

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. How much should the man pay if he and his son see the exhibition?A. 15 dollars.B. 10 dollars.C. 5 dollars( ) 2. What does the woman means?A. Both Simon and Ronald are good at the two subjects.B. Neither Simon nor Ronald is good at the two subjects.C. Ronald is better at the two subjects than Simon.( ) 3. What is Mr. Atkinson planning to do at 7?A. Go to a party.B. Have a talk with the woman.C. Have dinner with two other people.( ) 4. What will the woman do this evening?A. Wait for a call.B. Go to the cinema.C. Eat in a restaurant.( ) 5. Why does the man look pale and weak?A. He has to work at night.B. He has bad sleeping habits.C. He has to work day and night.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。

昆明三中、昆明滇池中学2012—2013学年下学期期末考试高一英语试卷命题：高二年级英语备课组本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。

考试用时120分钟，满分100分。

第Ⅰ卷(满分80分)第一部分听力(共20小题；每小题1分，满分20分)第一节听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. How long did it take the man to finish the writing?A. Three hours.B. One hour and a half.C. Half an hour.2. What will the weather be like in the following days?A. It is warming up.B. It is going to rain.C. It is getting colder.3. How will the two speakers go home?A. By subway.B. By taxi.C. By bus.4. Where is Tom now?A. In the police station.B. On a bus.C. At school.5. How many parents will come to the meeting?A. 40.B. 26.C. 13.第二节听下面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，各个小题将给出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. Why is the man here?A. To buy a car.B. To attend a wedding.C. To have a family get-together.7. What is the man going to do next?A. Find a parking space.B. Talk to the policeman.C. Move his car.听第7段材料，回答第8至9题。

云南昆明三中12-13学年高一下期中考试试卷--英语考试说明：满分100分，考试时间120分钟。

注意事项：1. 答卷前，考生务必将姓名、班级、学号填在答题卡及第二卷答题纸规定的位置上。

2. 第Ⅰ卷每小题选出答案后，用2B铅笔将答案填涂在答题卡上对应的位置。

3. 第Ⅱ卷必须用中性笔作答，答案必须写在答题纸各题目指定区域内相应位置；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用涂改液、胶带纸、修正带。

第Ⅰ卷（选择题80分）第一部分听力（共两节，满分20分）第一节（共5小题；每小题1分，满分5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置，听完每段对话后，你都有10秒中的时间来回答有关小题和阅读下一个小题。

每段对话仅读一遍。

( ) 1. How many streets are there in the city?A. 157.B. 175.C. 250.( ) 2. What day is it today?A. Wednesday.B. Tuesday.C. Friday.( ) 3. What does the woman mean?A. Mary is with John now.B. John is Mary’s friend.C. John knows where Mary is.( ) 4. When will Linda arrive here?A. Next week.B. Tomorrow.C. Today.( ) 5. Why is the man here?A. To visit the woman.B. To see who lives on the 4th floor.C. To look for an empty apartment.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。

2015—2016学年度第二学期期中学情调查考试高一英语试题本试卷分为第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。

满分120分，考试时间120分钟。

考试结束后，将答题卷和机读卡一并收回。

第I卷（选择题，共80分）第一部分：听力（共2节，满分20分）第一节（共5小题；每小题1分，满分5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. What d o we know about the man’s new shirt?A. It’s small.B. It’s expensive.C. It’s dirty.2. Why did Linda ignore the man?A. She didn’t know him.B. She was in a bad mood.C. She didn’t recognize him.3. Where are the speakers going to meet tomorrow afternoon?A. In front of the bank.B. In front of the school.C. In front of the ocean park.4. How did the woman spend her holiday?A. She went to the seaside.B. She worked in a company.C. She played computer games.5. Which train will the woman take?A. The 2:45.B. The 4:00.C. The 5:10.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。

云南高一高中英语期中考试班级:___________ 姓名：___________ 分数：___________一、单项选择1.Only in this way ______ solve the problem.A．can you B．you can C．you will D．will you able to 2.I’ll never forget the day ________ we worked togetherA．when B．which C．that D．where3.Do you remember the place ________ we visited last year?A．that B．where C．when D．in which4.Look out! Don’t get too close to the house ________ roof is under repair.A．that B．which C．of which D．whose5.---Joyce, please don’t make noise!---Pardon?---I _________ make noise.A tell you don’t B. tell you not to C. told you didn’t D. told you not to6.We’ve booked a room in the centre of town for the guests _____ they can stay for three days.A．when B．whom C．which D．where7.I’ll never forget the day_________ we spent happily togetherA．when B．which C．on which D．where8.Mr. Black _______Shanghai in a few days. Do you know when the earliest plane _______ on Sunday. A．leaves; takes off B．is leaving; takes offC．is leaving; is taking off D．leaves; is taking off9.This is my dear teacher without_________help I couldn’t have passed that difficult exam.A．who B．whom C．whose D．That10.We prefer__________alone rather than__________.A．staying; go out B．staying; going outC．to stay; to go out D．to stay; go out11.Was it during the summer vacation ______ he went to Shanghai?A．that B．when C．where D．which12._____ is known to everybody that the moon travels round the earth.A．It B．As C．When D．Where13.There are many toys, you can take _______you like.A．whatever B．whichever C．however D．whenever14.____ is known to everybody, the moon travels round the earth.A．As B．It C．When D．Where15.He asked me ______.A．whether was I a football player B．was I a football playerC．that whether I was a football player D．whether I was a football player二、完形填空Dear Dr Fang,How are you? I am writing to ask for some 36 about how to help my 15-year-old son. At the moment, he refuses to do almost anything his mother and I ask him to do. He is our only child and we treat him very 37 . Though his grandparents buy him many things, yet he is still 38 to them and often shouts at them. Healso 39 to spend time with us or do as we tell him.Recently, he has been refusing to do his homework, and instead insists on 40 his time listening to foreign music. I cannot understand that 41 , and I don’t like it. Meanwhile, he spends too much time in Internet cafes, where he either plays games 42 chats on the Internet. He is wasting valuable time during this 43 period in his life!What shall I do? I am worried about it. 44 I keep allowing him to do what he wants, he may fail at school, or worse. How can I help my son 45 hurting our feelings?Best regardsLiu Zhen【1】A questions B advice C problems D lessons【2】A badly B ill C well D coldly【3】A kind B good C polite D rude【4】A prefers B wants C likes D refuses【5】A saving B missing C wasting D winning【6】A music B film C game D play【7】A and B or C but D so【8】A dark B old C sad D important【9】A If B Until C Though D Before【10】A for B in C without D about三、阅读理解1.A nine-year-old kid was sitting at his desk when suddenly there was a puddle (水坑) between his feet and the front of his trous ers was wet. He thought his heart was going to stop because he couldn’t possibly imagine how this had happened. It had never happened before, and he knew that when the boys found out, especiallyJack, he would never hear the end of it. When the girls found out, especially Martha and Jackie, they would never speak to him again as long as he lived.He prayed this prayer, “Dear God, I need help now! Five minutes from now I’m dead meat!” He looked up from his prayer and here came the teacher with a look in her eyes that said he had been discovered. As the teacher was walking toward him, a classmate named Susie was carrying a goldfish bowl full of water. Susie lost her balance in front of the teacher and dumped (倒) the bowl of water in the bo y’s lap. The boy pretended to be angry, but all the while was saying to himself, “Thank you, Lord!”Now all of a sudden, instead of being the object of ridicule (嘲笑), the boy was the object of sympathy (同情). Theteacher rushed him downstairs and gave him gym shorts to put on while his trousers dried out. All the other children were on their hands and knees cleaning up around his desk. Martha even gave him her own candy. The sympathy was wonderful. But as life would have it, the ridicule that should have been his had been turned to someone else—Susie. She tried to help, but they told her to get out.When school was over, the boy walked over to Susie and whispered, “You did that on purpose, didn’t you?” Susie whispered back, “I wet my trousers once, too!”【1】The underlined sentence in Paragraph 1 means _______.A．the boys would never play with himB．the boys would treat him as usualC．he would hardly hear any praise from the boysD．he would be laughed at by the boys endlessly【2】After Susie dumped water in his lap, the boy was in a state of _______.A．disappointment B．relief C．anxiety D．anger【3】What did the other kids do after the incident?A．They offered him dry clothes.B．They laughed at the boy rudely.C．They helped the boy do the cleaning.D．They urged the boy to get out angrily.【4】Why did Susie dump water in the boy’s lap?A．The boy asked her to do so.B．She just did it by accident.C．The teacher told her to do so.D．She knew the boy’s trouble.【5】Besides Susie, _______ also knows what had really happened to the boy.A．Martha B．Jack C．the teacher D．the boys2.The possibility that pleasant smells might reduce pain has recently been suggested by new research. In a scientific study, doctors asked 20 men and 20 women to keep their hands in very hot water for as long as possible while breathing in different smells.As people believe that strong smells can affect the senses, volunteers were asked not to eat or drink for eight hours before the experiment began. During the experiment, volunteers were asked to take in pleasant smells such as vanilla (香草), and unpleasant smells such as durians (榴莲). The volunteers kept their hands in the water until it became too hot for them. When they could not bear the pain any more, they took their hands out of the water.Scientists are interested in whether the senses or smell is related to pain and whether men and women have the same senses. Now, the study has proved that for women, pleasant smells reduce pain. For men, there is no change.Dr Finkelstein has been studying smells since 1999. He says that scientists already have data from 40 volunteers. He adds that this year, scientists will test another 60 volunteers and will be in a better position to explain the results.One explanation is that women’s sense of smell developed long ago, and is linked to recognizing the smell of babies. Scientists used to believe that mothers recognized their children by sight only. Now, they have started to believe that the sense of smell also helps, but why pleasant smells do not reduce pain in men is a question still to be answered by scientists.【1】Before the experiment, volunteers ______.A．are gathered and take a trainingB．cannot eat or drink for several hoursC．must wash their hands carefullyD．will be interviewed by Dr Finkelstein【2】If both men and women are asked to keep their hands in hot water while taking in some pleasant smells, ______.A．women may stand the pain of the hot water longerB．men may keep their hands in the hot water longerC．they will probably take their hands out at the same timeD．we are not quite sure who will take their hands out earlier【3】From the passage we learn that _________.A．the reason why women are sensitive to smells is clearB．the experiment for the sense of smell has come to an endC．unpleasant smells affect men’s senses more than women’sD．scientists have not totally explained the result of the study【4】Now scientists believe that _______.A．mothers recognize their children only by sightB．men’s sense of smell developed a long time agoC．strong smells have a great influence on people’s sensesD．smells are helpful for mothers to spot their children【5】The writer wrote the passage in order to ________.A．supply some entertainment to usB．show women’s sharper senses than men’sC．inform the readers of some knowledgeD．call for volunteers for the experiment3.Most recently, it’s very common in students who need a parent present for job interviews.Naturally, it’s easy to blame the students in these situations, but the bigger problem is us. We—as parents—are so eager to protect our kids that we fail to realize that this in itself is harming them. As the mother of two young sons, I have to remind myself all the time that the biggest responsibility I have as a parent is to help them develop the skills needed to live in, to live without me. So, I’ll let them fail.I’ll let them fail because as long as they are safe and warm inside their comfort zones, th ey will never grow. And failure—along with loss, heartbreak, disappointment, etc.—will be part of growth for them. Call me the anti-tiger mom, but leaving them alone is my way of helping them become equipped to fit in this world as we know it today. From terrorism (恐怖主义) and seemingly endless natural disasters, to our national debt and beyond, if we expect the next generation to stand up to the very real problems of our time, we need to stop feeding them and start teaching them how to fish.My children are faced with hard situations in their own life almost each day, but they try to negotiate (协商) everything now. It’s a small price to help them learn a skill they’ll use for the rest of their lives, including when I don’t come with them on job interviews.【1】Why do parents go along with their kids on job interviews?A．Because they want to protect their kids from difficulties.B．Because they think they can protect them from being hurt.C．Because their kids are too shy to attend interviews.D．Because their kids strongly request them to do so.【2】According to the author, what is helpful to kids’ development? A．Protecting them.B．Keeping them safe. C．Leaving them alone.D．Blaming them.【3】The author believes experiencing failure in life can make kids ___________. A．become healthier than other kidsB．grow in this challenging worldC．develop all social skillsD．escape from natural disasters【4】If the writer’s boy goes to a job inte rview, she probably will ___________. A．go with him to protect her kid from difficultyB．stay home but give him directions over telephoneC．wait outside and talk with other parentsD．let him go to the interview by himself【5】Which of the following might be the best title of the text?A．Never help your kids B．Let your kids fail C．Go to the interview with your kids D．Live without parents 四、单词拼写根据下列句子的结构和所给汉语的意思，写出这一单词的正确形式【1】（判断）from his accent, we know he comes from the west.【2】I’m glad to know that he has been finally （说服）to give up smoking. 【3】Tom is a ____ _(可靠的) person. He is sure to help you.【4】John and Mary made a (航海)at the sea.【5】The dead and （受伤的）people lay everywhere after the terrible accident.五、短文改错单句改错（共5小题，每小题1分，满分5分）【1】I stayed in Beijing for one and a half year.【2】The manager asked his men not waste any more time.【3】Geography plays a part of making dialects.【4】He treated the boy even if he were his son.【5】It was the first time that I have seen Mr Black.六、其他1.把下列词组译成汉语：【1】on purpose【2】devote to【3】be sentenced to【4】suffer from【5】dig out2.把下列词组译成英语【1】事实上【2】求助于;致力于【3】设立；建立【4】从那以后【5】仿佛；好象七、书面表达假设你是李华，你的朋友Lily正在上中学，她感到学习压力很大，她向你询问有关怎样减压的建议，请根据下面表格内的提示用英文写一封回信，注意：1．文章开头已给出；2．词数：80个左右；3．参考词汇：压力pressure; 建议suggestion; 作运动 do sports exerciseDear Lily,In the letter, you asked me something about your study pressure. Yours,LiHua.云南高一高中英语期中考试答案及解析一、单项选择1.Only in this way ______ solve the problem.A．can you B．you can C．you will D．will you able to【答案】A【解析】考察only的倒装句。

2015-2016学年云南省昆明三中高一（下）期中数学试卷一、选择题（本大题共12个小题，每小题5分，共60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．sin（﹣）=（）A．B．C．﹣D．﹣2．已知向量=（x，3），=（2，x﹣5），若⊥，则x=（）A．﹣2B．﹣3C．2D．33．数列{a n}中若a n+1=2a n，且a2=4，则S4的值等于（）A．30B．15C．20D．604．等差数列{a n}的公差为2，若a1+a3+a5=3，则a4+a6+a8=（）A．30B．21C．18D．155．已知正方形ABCD的边长为1，=，=，=，则||等于（）A．0B．2C．D．36．已知△ABC的内角A、B、C的对边分别为a、b、c，若b=4，A=，c=4，则△ABC的面积为（）A．4+4B．2+2C．2﹣2D．4﹣47．已知函数f（x）=sin（ωx+φ）（ω＞0，|φ|＜）的部分图象如图所示，如下结论中正确的是（）A．f（x）图象C关于直线x=π对称B．f（x）图象C关于点（，0）对称C．函数f（x）在区间（，）内是增函数D．把y=sin2x向右平移个单位可以得到f（x）的图象8．正三角形ABC中，D是线段BC上的点，AB=6，BD=2，则•=（）A．12B．18C．24D．309．在△ABC中，A，B，C的对边分别为a，b，c，若cosB=，则tan2+sin2的值为（）A．B．C．D．10．已知等差数列{a n}满足，a1＞0，5a8=8a13，则前n项和S n取最大值时，n的值为（）A．20B．21C．22D．2311．设{a n}是公比为q的等比数列，|q|＞1，令b n=a n+1（n=1，2，…），若数列{b n}有连续四项在集合{﹣53，﹣23，19，37，82}中，则8q等于（）A．9B．﹣12C．12D．﹣912．已知数列{a n}的通项公式为a n=﹣n+p，数列{b n}的通项公式为b n=2n﹣5，设c n=，若在数列{c n}中，c8＞c n（n∈N*，n≠8），则实数p的取值范围是（）A．（7，8）B．（8，9）C．（9，11）D．（12，17）二、填空题（本大题共4小题，每小题5分，共20分，把答案填在答题卡的横线上．）13．已知θ在第二象限且tanθ=﹣2，则sinθcosθ=．14．设向量=（1，﹣1），=（4，3）．则向量与夹角的余弦值为．15．在△ABC中，∠A=120°．若该三角形三条边长构成一个公差为4的等差数列，则△ABC 的周长为．16．已知数列{a n}满足：a1，a2+1，a3成等差数列，且对任意的正整数n，均有S n=a n+1﹣2n+成立，其中S n是数列{a n}的前n项和．则n≥2时，数列{a n}的通项公式为a n=．三、解答题（本大题共6小题；第17题满分70分，18-22题每题满分70分，共70分，解答应写出文字说明、证明过程或演算步骤．）17．若公差不为零的等差数列{a n}中，a4=10且a3，a6，a10成等比数列．（I）求数列{a n}的通项公式；（Ⅱ）求数列{a n}的前10项和S10．18．已知函数f（x）=1+2sinxcosx﹣2sin2x，x∈R．（Ⅰ）求函数f（x）的单调区间；（Ⅱ）若把f（x）向右平移个单位得到函数g（x），求g（x）在区间[﹣，0]上的最小值和最大值．19．已知向量=（cosα，sinα），=（cosβ，sinβ），|﹣|=．（1）求cos（α﹣β）的值；（2）若﹣＜β＜0＜α＜，且sinβ=﹣，求sinα的值．20．已知数列{a n}的通项公式a n=2n，设数列{b n}满足b1=，﹣=1（n∈N*，n≥2）（Ⅰ）求数列{b n}的通项公式；（Ⅱ）设c n=a n（﹣1），求数列{c n}的前n项和T n．21．△ABC中，角A，B，C所对的边分别为a，b，c，且2bcosC+c=2a．（1）求角B的大小；（2）若BD为AC边上的中线，cosA=，BD=，求△ABC的面积．22．已知正项数列{a n}的前n项和S n满足：S n2﹣（n2+n﹣1）S n﹣（n2+n）=0，（Ⅰ）求S1和S2的值；（Ⅱ）求{a n}的通项公式a n；（Ⅲ）若令b n=，设数列{b n}的前n项和为T n．求证：≤T n＜．2015-2016学年云南省昆明三中高一（下）期中数学试卷参考答案与试题解析一、选择题（本大题共12个小题，每小题5分，共60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．sin（﹣）=（）A．B．C．﹣D．﹣【考点】运用诱导公式化简求值．【分析】利用诱导公式，特殊角的三角函数值即可化简求值得解．【解答】解：sin（﹣）=﹣sin（）=﹣sin=﹣．故选：C．2．已知向量=（x，3），=（2，x﹣5），若⊥，则x=（）A．﹣2B．﹣3C．2D．3【考点】平面向量数量积的运算．【分析】根据⊥时•=0，列出方程求解即可．【解答】解：∵向量=（x，3），=（2，x﹣5），且⊥，∴•=2x+3（x﹣5）=0，解得x=3．故选：D．3．数列{a n}中若a n+1=2a n，且a2=4，则S4的值等于（）A．30B．15C．20D．60【考点】等比数列的前n项和．【分析】由已知推导出数列{a n}是首项为2，公比为2的等比数列，由此能求出S4．【解答】解：∵数列{a n}中，a n+1=2a n，且a2=4，∴=2，，∴数列{a n}是首项为2，公比为2的等比数列，∴S4==30．故选：A．4．等差数列{a n}的公差为2，若a1+a3+a5=3，则a4+a6+a8=（）A．30B．21C．18D．15【考点】等差数列的通项公式．【分析】根据等差数列的通项公式，结合题意，即可求出结果．【解答】解：等差数列{a n}中，公差为d=2，且a1+a3+a5=3，所以a4+a6+a8=（a1+3d）+（a3+3d）+（a5+3d）=（a1+a3+a5）+9d=3+9×2=21．故选：B．5．已知正方形ABCD的边长为1，=，=，=，则||等于（）A．0B．2C．D．3【考点】向量的模．【分析】由题意得，||=，故有||=|2|，由此求出结果．【解答】解：由题意得，，且||=，∴||=|2|=2，故选B．6．已知△ABC的内角A、B、C的对边分别为a、b、c，若b=4，A=，c=4，则△ABC的面积为（）A．4+4B．2+2C．2﹣2D．4﹣4【考点】正弦定理．【分析】利用两角和的正弦函数公式，特殊角的三角函数值可求sinA，结合三角形面积公式即可计算得解．【解答】解：∵b=4，A=，c=4，∴sinA=sin（+）=sin cos+cos sin=，∴△ABC的面积S=bcsinA==4+4．故选：A．7．已知函数f（x）=sin（ωx+φ）（ω＞0，|φ|＜）的部分图象如图所示，如下结论中正确的是（）A．f（x）图象C关于直线x=π对称B．f（x）图象C关于点（，0）对称C．函数f（x）在区间（，）内是增函数D．把y=sin2x向右平移个单位可以得到f（x）的图象【考点】正弦函数的图象．【分析】先根据函数f（x）的图象求出f（x）的解析式，再对选项中的命题进行分析、判断，即可得出正确的结论．【解答】解：根据函数f（x）=sin（ωx+φ）（ω＞0，|φ|＜）的部分图象得，A=1，T=﹣=，∴T==π，∴ω=2，又f（）=sin（2×+φ）=1，解得φ=﹣，∴f（x）=sin（2x﹣）；对于A，f（）=sin=﹣，∴图象C关于直线x=π对称，错误；对于B，f（）=sin=1，∴图象C关于点（，0）对称，错误；对于C，x∈（，）时，2x﹣∈（，），∴f（x）在区间（，）内是增函数，命题正确；对于D，把y=sin2x向右平移个单位，得y=sin2（x﹣）=sin（2x﹣），得到f（x）的图象错误．故选：C．8．正三角形ABC中，D是线段BC上的点，AB=6，BD=2，则•=（）A．12B．18C．24D．30【考点】向量的三角形法则；平面向量数量积的运算．【分析】根据向量数量积的定义和公式进行化简求解即可．【解答】解：∵AB=6，BD=2，∴BC=6，==，则•=•（+）=2+•=2﹣•=62﹣×=36﹣6=30，故选：D9．在△ABC中，A，B，C的对边分别为a，b，c，若cosB=，则tan2+sin2的值为（）A．B．C．D．【考点】同角三角函数基本关系的运用．【分析】由三角形内角和定理化为含有角B的代数式，再由降幂公式化为余弦得答案．【解答】解：由cosB=，得tan2+sin2===．故选：A．10．已知等差数列{a n}满足，a1＞0，5a8=8a13，则前n项和S n取最大值时，n的值为（）A．20B．21C．22D．23【考点】等差数列的前n项和；数列的函数特性．【分析】由条件可得，代入通项公式令其≥0可得，可得数列{a n}前21项都是正数，以后各项都是负数，可得答案．【解答】解：设数列的公差为d，由5a8=8a13得5（a1+7d）=8（a1+12d），解得，由a n=a1+（n﹣1）d=，可得，所以数列{a n}前21项都是正数，以后各项都是负数，故S n取最大值时，n的值为21，故选B．11．设{a n}是公比为q的等比数列，|q|＞1，令b n=a n+1（n=1，2，…），若数列{b n}有连续四项在集合{﹣53，﹣23，19，37，82}中，则8q等于（）A．9B．﹣12C．12D．﹣9【考点】等比数列的通项公式．【分析】b n=a n+1（n=1，2，…），数列{b n}有连续四项在集合{﹣53，﹣23，19，37，82}中，可得：等比数列{a n}有连续四项在集合{﹣54，﹣24，18，36，81}中，即可得出连续四项分别为：﹣24，36，﹣54，81．【解答】解：∵b n=a n+1（n=1，2，…），数列{b n}有连续四项在集合{﹣53，﹣23，19，37，82}中，∴等比数列{a n}有连续四项在集合{﹣54，﹣24，18，36，81}中，|q|＞1．∴连续四项分别为：﹣24，36，﹣54，81，其公比q====，∴8q=﹣12．故选：B．12．已知数列{a n}的通项公式为a n=﹣n+p，数列{b n}的通项公式为b n=2n﹣5，设c n=，若在数列{c n}中，c8＞c n（n∈N*，n≠8），则实数p的取值范围是（）A．（7，8）B．（8，9）C．（9，11）D．（12，17）【考点】数列的函数特性．【分析】利用数列的单调性、分段数列的性质即可得出．【解答】解：数列{a n}的通项公式为a n=﹣n+p，数列{b n}的通项公式为b n=2n﹣5，可知：数列{a n}的单调递减，数列{b n}单调递增．∵c n=，在数列{c n}中，c8＞c n（n∈N*，n≠8），∴，∴，解得12＜p＜17，故选：D．二、填空题（本大题共4小题，每小题5分，共20分，把答案填在答题卡的横线上．）13．已知θ在第二象限且tanθ=﹣2，则sinθcosθ=﹣\frac{2}{5}．【考点】同角三角函数基本关系的运用．【分析】利用同角三角函数的基本关系，求得sinθcosθ的值．【解答】解：∵θ在第二象限且tanθ=﹣2，则sinθcosθ====﹣，故答案为：﹣．14．设向量=（1，﹣1），=（4，3）．则向量与夹角的余弦值为\frac{{\sqrt{2}}}{10}．【考点】平面向量数量积的运算．【分析】根据向量数量积的坐标公式和向量夹角的关系进行求解即可．【解答】解：∵向量=（1，﹣1），=（4，3）．∴cos＜，＞===，故答案为：15．在△ABC中，∠A=120°．若该三角形三条边长构成一个公差为4的等差数列，则△ABC 的周长为30．【考点】余弦定理；等差数列的通项公式．【分析】由A为钝角，得到a为最大边，根据题意设b=a﹣4，c=a﹣8，利用余弦定理列出关系式，整理即可求出a的值．【解答】解：在△ABC中，∠A=120°，则角A所对的边a最长，三边长构成公差为4的等差数列，不防设b=a﹣4，c=a﹣8，由余弦定理得a2=（a﹣4）2+（a﹣8）2﹣2（a﹣4）（a﹣8）cos120°，即a2﹣18a+56=0，解得：a=4（舍去）或a=14，可得：b=10，c=6，所以：△ABC的周长为14+6+10=30．故答案为：30．16．已知数列{a n}满足：a1，a2+1，a3成等差数列，且对任意的正整数n，均有S n=a n+1﹣2n+成立，其中S n是数列{a n}的前n项和．则n≥2时，数列{a n}的通项公式为a n=3n﹣1﹣2n．【考点】数列递推式．【分析】a1，a2+1，a3成等差数列，可得a1+a3=2（a2+1），由S n=a n+1﹣2n+成立，分别取n=1，2，可得：a1=﹣2+，a1+a2=﹣4+，联立解得a1，a2，a3．再利用当n≥2时，a n=S n﹣S n，及其等比数列的通项公式即可得出．﹣1【解答】解：∵a1，a2+1，a3成等差数列，∴a1+a3=2（a2+1），由S n=a n+1﹣2n+成立，分别取n=1，2，可得：a1=﹣2+，a1+a2=﹣4+，联立解得a1=﹣1，a2=﹣1，a3=1．=a n+1﹣2n+﹣，化为：a n+1=3a n+2n，变形为：当n≥2时，a n=S n﹣S n﹣1a n+1+2n+1=3，∴数列是等比数列，首项为1，公比为3，∴a n+2n=3n﹣1，∴a n=3n﹣1﹣2n，于是n≥2时，a n=3n﹣1﹣2n．故答案为：3n﹣1﹣2n．三、解答题（本大题共6小题；第17题满分70分，18-22题每题满分70分，共70分，解答应写出文字说明、证明过程或演算步骤．）17．若公差不为零的等差数列{a n}中，a4=10且a3，a6，a10成等比数列．（I）求数列{a n}的通项公式；（Ⅱ）求数列{a n}的前10项和S10．【考点】等差数列的前n项和；等差数列的通项公式．【分析】（I）设公差d不为零的等差数列{a n}中，由a4=10且a3，a6，a10成等比数列．可得a1+3d=10，=（a1+2d）（a1+9d），联立解出即可的．（II）利用等差数列的前n项和公式即可得出．【解答】解：（I）设公差d不为零的等差数列{a n}中，∵a4=10且a3，a6，a10成等比数列．∴a1+3d=10，=（a1+2d）（a1+9d），解得a1=7，d=1．∴a n=7+（n﹣1）=n+6．（II）S10==115．18．已知函数f（x）=1+2sinxcosx﹣2sin2x，x∈R．（Ⅰ）求函数f（x）的单调区间；（Ⅱ）若把f（x）向右平移个单位得到函数g（x），求g（x）在区间[﹣，0]上的最小值和最大值．【考点】函数y=Asin（ωx+φ）的图象变换；三角函数中的恒等变换应用；正弦函数的图象．【分析】（Ⅰ）利用三角恒等变换，化简函数f（x）的解析式，再利用正弦函数的单调性，求得函数f（x）的单调区间．（Ⅱ）利用函数y=Asin（ωx+φ）的图象变换规律求得g（x）的解析式，再利用正弦函数的定义域和值域，求得g（x）在区间[﹣，0]上的最小值和最大值．【解答】解：（Ⅰ）∵函数f（x）=1+2sinxcosx﹣2sin2x=sin2x+cos2x=2sin（2x+），（Ⅰ）令2kπ﹣≤2x+≤2kπ+，求得kπ﹣≤x≤kπ+，可得函数f（x）的单调增区间为[kπ﹣，kπ+]，k∈Z；令2kπ+≤2x+≤2kπ+，求得kπ+≤x≤kπ+，可得函数f（x）的单调减区间为[kπ+，kπ+]，k∈Z．（Ⅱ）若把函数f（x）的图象向右平移个单位得到函数g（x）=2sin[2（x﹣）+]=2sin（2x﹣）的图象，∵x ∈[﹣，0]，∴2x ﹣∈[﹣，﹣]，∴sin （2x ﹣）∈[﹣1，]，∴g （x ）=2sin（2x ﹣）∈[﹣2，1]． 故g （x ）在区间上的最小值为﹣2，最大值为1．19．已知向量=（cos α，sin α），=（cos β，sin β），|﹣|=．（1）求cos （α﹣β）的值；（2）若﹣＜β＜0＜α＜，且sin β=﹣，求sin α的值． 【考点】两角和与差的余弦函数；向量的模．【分析】（1）由模长公式和三角函数公式可得|﹣|2=2﹣2co （α﹣β）=，变形可得；（2）结合角的范围分别可得sin （α﹣β）=和cos β=，而sin α=sin[（α﹣β）+β]=sin （α﹣β）cos β+cos （α﹣β）sin β，代入化简可得．【解答】解：（1）∵=（cos α，sin α），=（cos β，sin β），∴||=||=1，∴|﹣|2==1+1﹣2（cos αcos β+sin αsin β）=2﹣2cos （α﹣β），又∵|﹣|=， ∴|﹣|2=2﹣2cos （α﹣β）=，∴cos （α﹣β）=；（2）∵﹣＜β＜0＜α＜，∴0＜α﹣β＜π，由cos （α﹣β）=可得sin （α﹣β）=，由sin β=﹣可得cos β=， ∴sin α=sin[（α﹣β）+β]=sin （α﹣β）cos β+cos （α﹣β）sin β==20．已知数列{a n }的通项公式a n =2n ，设数列{b n }满足b 1=，﹣=1（n ∈N *，n ≥2） （Ⅰ）求数列{b n }的通项公式；（Ⅱ）设c n =a n （﹣1），求数列{c n }的前n 项和T n ． 【考点】数列的求和；数列递推式．【分析】（1）由数列{b n }满足b 1=，﹣=1（n ∈N *，n ≥2，利用等差数列的通项公式即可得出．（2）c n=a n（﹣1）=（2n+1）•2n，利用“错位相减法”与等比数列的前n项和公式即可得出．【解答】解：（1）∵数列{b n}满足b1=，﹣=1（n∈N*，n≥2），∴数列是等差数列，首项为2，公差为1，∴=2+（n﹣1）=n+1，∴b n=．（2）c n=a n（﹣1）=2n（2n+2﹣1）=（2n+1）•2n，∴数列{c n}的前n项和T n=3×2+5×22+…+（2n+1）•2n，2T n=3×22+5×23+…+（2n﹣1）•2n+（2n+1）•2n+1，∴﹣T n=3×2+2（22+23+…+2n）﹣（2n+1）•2n+1=+2﹣（2n+1）•2n+1=﹣2+（1﹣2n）×2n+1，∴T n=（2n﹣1）2n+1+2．21．△ABC中，角A，B，C所对的边分别为a，b，c，且2bcosC+c=2a．（1）求角B的大小；（2）若BD为AC边上的中线，cosA=，BD=，求△ABC的面积．【考点】余弦定理；正弦定理．【分析】（1）利用正弦定理化简已知表达式，求出B的值即可．（2）先根据两角和差的正弦公式求出sinC，再根据正弦定理得到b，c的关系，再利用余弦定理可求b，c的值，再由三角形面积公式可求结果；【解答】解：（1）∵2bcosC+c=2a．由正弦定理可知：2sinBcosC+sinC=2sinA=2sin（B+C）=2sinBcosC+2cosBsinC，∴sinC=2cosBsinC，∴cosB=∵B为三角形内角，∴B=，（2）在△ABC值，cosA=，∴sinA=，∴sinC=sin（A+B）=sinAcosB+cosAsinB=×+×=，∴==，设b=7x，c=5x，∵BD为AC边上的中线，BD=，由余弦定理，得BD2=AB2+AD2﹣2AB•ADcosA，∴=25x2+×49x2﹣2×5x××7x×解得x=1，∴b=7，c=5，∴S△ABC=bcsinA=×=10．22．已知正项数列{a n}的前n项和S n满足：S n2﹣（n2+n﹣1）S n﹣（n2+n）=0，（Ⅰ）求S1和S2的值；（Ⅱ）求{a n}的通项公式a n；（Ⅲ）若令b n=，设数列{b n}的前n项和为T n．求证：≤T n＜．【考点】数列的求和；数列递推式．【分析】（I）由正项数列{a n}的前n项和S n满足：S n2﹣（n2+n﹣1）S n﹣（n2+n）=0，n=1，2时可得：﹣S1﹣2=0，﹣6=0，解出即可得出．（II）由S n2﹣（n2+n﹣1）S n﹣（n2+n）=0，可得[Sn﹣（n2+n）]（Sn+1）=0．根据{a n}是正项数列，可得Sn＞0，Sn=n2+n利用递推关系即可得出．（III）b n===，利用“裂项求和”方法与数列的单调性即可得出．【解答】（I）解：由正项数列{a n}的前n项和S n满足：S n2﹣（n2+n﹣1）S n﹣（n2+n）=0，n=1，2时可得：﹣S1﹣2=0，﹣6=0，解得a1=S1=2，S2=6．（II）解：由S n2﹣（n2+n﹣1）S n﹣（n2+n）=0，可得[Sn﹣（n2+n）]（Sn+1）=0．∵{a n}是正项数列，∴Sn＞0，Sn=n2+n．n≥2时，an=Sn﹣Sn﹣1=n2+n﹣（n﹣1）2﹣（n﹣1）=2n．综上，数列{a n}的通项a n=2n．（III）证明：b n===，∴数列{b n}的前n项和T n=+++…++=∴T1≤T n＜×=．∴≤T n．2016年7月14日。

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，选出可填入空白处的最佳选项，并在答题卡上将该项涂黑。

21. It was _____ terrible earthquake and _____ number of people who were killed reached more than 20,000.A. a; theB. the; aC. the; theD. a; a22. What thepublic is about is whether medical workers and scientists will be able to find a cure for the new disease in a short time.A. concerningB. concernC. concernedD. to concern23. The second book ________ I want to read is Business at the Speed of Thought.A. whichB. thatC. whatD. As【答案】B【解析】试题分析：考查定语从句。

当先行词有序数词、最高级修饰，或是不定代词时，定语从句只能用that引导。

本题中，that作read的宾语。

which和as引导非限制性定语从句；what不能引导定语从句。

故选B。

考点：考查定语从句24. You’d better your score and see if you have passed the exam.A. add up toB. add toC. add upD. Add25. Thescientists have made _______ possible for us to communicate with each other more easily.A. itB. thatC. thisD. them26. —May I ask a question after class，Sir?—, but not during my lunch break.A.I am sorryB. AnytimeC. Go aheadD. Certainly27. As soon as she saw her boyfriend, she ________ crying.A. burst intoB. broke outC. burst out D．broke in28. He wouldn’t leave the TV set, ______ he was going to have an important exam the next day.A. even soB. even ifC. as thoughD. as if29. —What ________ an important part in their lives?—Friends.A.playsB. takesC. makesD. Acts30. It was in 1969 ______ two Americans went to the moon by spaceship.A. thatB. beforeC. whenD. Since31. Even on a cold day，he prefers ________out to play football ________ at home.A. going；rather stayB. going；to stayingC. to go；rather than stayingD. to go；rather than to stay32. I want to know when he ________ for New York tomorrow.A. has leftB. had leftC. is leavingD. has been leaving【答案】C【解析】33. Have you ever noticed the house, ________ windows are always closed?A. whereB. whichC. whenD. whose34. We will do it ourselves ________asking others to help.A. instead ofB. insteadC. butD. however35. We’ll call on a man ________ I believe can give us very good advice.A. whichB. whoC. whomD. Whomever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，从短文后各题所给的四个选项（A、B、C和D）中，选出可以填入空白处的最佳选项。

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，选出可填入空白处的最佳选项，并在答题卡上将该项涂黑。

21. It was _____ terrible earthquake and _____ number of people who were killed reached morethan 20,000.A. a; theB. the; aC. the; theD. a; a22. What the public is about is whether medical workers and scientists will beable to find a cure for the new disease in a short time.A. concerningB. concernC. concernedD. to concern23. The second book ________ I want to read is Business at the Speed of Thought.A. whichB. thatC. whatD. As【答案】B【解析】试题分析：考查定语从句。

当先行词有序数词、最高级修饰，或是不定代词时，定语从句只能用that引导。

本题中，that作read的宾语。

which和as引导非限制性定语从句；what不能引导定语从句。

故选B。

考点：考查定语从句24. You’d better your score and see if you have passed the exam.A. add up toB. add toC. add upD. Add25. The scientists have made _______ possible for us to communicate with each other moreeasily.A. itB. thatC. thisD. them26. —May I ask a question after class，Sir?—, but not during my lunch break.A.I am sorryB. AnytimeC. Go aheadD. Certainly27. As soon as she saw her boyfriend, she ________ crying.A. burst intoB. broke outC. burst out D．broke in28. He wouldn’t leave the TV set, ______ he was going to have an important exam the next day.A. even soB. even ifC. as thoughD. as if29. —What ________ an important part in their lives?—Friends.A.playsB. takesC. makesD. Acts30. It was in 1969 ______ two Americans went to the moon by spaceship.A. thatB. beforeC. whenD. Since31. Even on a cold day，he prefers ________out to play football ________ at home.A. going；rather stayB. going；to stayingC. to go；rather than stayingD. to go；rather than to stay32. I want to know when he ________ for New York tomorrow.A. has leftB. had leftC. is leavingD. has been leaving 【答案】C【解析】33. Have you ever noticed the house, ________ windows are always closed?A. whereB. whichC. whenD. whose34. We will do it ourselves ________asking others to help.A. instead ofB. insteadC. butD. however35. We’ll call on a man ________ I believe can give us very good advice.A. whichB. whoC. whomD. Whomever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，从短文后各题所给的四个选项（A、B、C和D）中，选出可以填入空白处的最佳选项。