2015-2016高一第二学期期中试题

2015—2016学年高一年级第二学期英语期中测试题(时间100分钟总分150分)第一部分: 阅读理解（共两节，满分60分）第一节（共15小题;每小题3分，满分45分）阅读下面短文，从短文后各题所给的四册选项（A、B、C、D）中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。

ADuring the Second World War, an old man lived in a small town of Germany. He had three sons and they all worked in the same factory where he had worked. After the war had begun, his sons were all made to join the army one after another and they all died in the fights. The old man was very sad. He didn’t have enough food and was often hungry. And nobody helped him and he didn’t know how to go on living.It was a very cold winter night. The old man couldn’t go to sleep. He had been hungry for two days and it was so cold in his room that ice could be seen. He had to get up and began to run in the room until he lay down on the floor. The next morning he had to beg from door to door. He had been to a lot of cities and knew a lot.Once he came to a village, but the villagers were all poor and couldn’t give him anything. He was too hungry to go to another village. He thought hard and found a way. He came to a police station and called out, “Hitler is a foolish pig!”Out came an old policeman at once. He took the old man into a room, gave him some bread and a cup of tea. Then he said, “Don’t say so in our village, sir!”“I’m sorry, sir,” said the old man. “I don’t know it’s Hitler’s hometown.” “No, no, sir,” the policeman said in a hurry. “It’s pigs’ hometown!”1. The old man’s sons joined the army because _______.A. they were all strongB. they had to doC. they wanted to be fullD. So they loved their country2. Which of the following is true?A. The old policeman would send the old man into prison.B. The old policeman thought Hitler was better than pigs.C. The old policeman hated Hitler, too.D. The old man found a friend at the police station.3. The policeman thought _______.A. Hitler was more foolish than pigsB. the old man insulted(侮辱) their hometownC. the old man had to say sorry to himD. the old man had to fight with HitlerBIn a village, the people were not rich. However, they were not unhappy. After all, their forefathers had lived in the same way for centuries.Then one day,some visitors from the city arrived. The told the villagers there were some people elsewhere who liked to eat frog’s legs. However, they did not have enough frogs of their own, and so they wanted to buy frogs from other place.This seemed like money for nothing. There were millions of frogs in the fields around, and they were no use to the villagers. All they had to do was catch them. Agreement was reached, and the children were sent into the fields to catch frogs. Every week a truck arrived to collect the catch and hand over the money. For the first time, the people were able to dream of a be tter future. But the dream didn’t last long.The change was hardly noticed at first, but it seemed as if the crops were not doing so well. More worrying was that the children fell ill more often, and, there seemed to be more insects around lately.The villagers decided that they couldn’t just wait to see the crops failing and the children getting weak. They would have to use the money earned to buy pesticides(杀虫剂) and medicines. Soon there was no money left.Then the people realized what was happening. It was the frog. They hadn’t been useless. They had been doing an important job---eating insects. Now with so many frogs killed, the insects were increasing more rapidly. They were damaging the crops and spreading diseases.Now, the people are still poor. But in the evenings they sit in the village square and listen to sounds of insects and frogs. These sounds of the night now have a much deeper meaning.4 . From paragraph I, we learn that the villagers __________.A. worked very hard for centuriesB. dreamed of having a better lifeC. lived a different life from their forefathersD.were poor but somewhat content5. Why did the villagers agree to sell frogs?A. the frogs were easy moneyB. They needs money to buy medicineC. they wanted to please the visitorsD. the frogs made too much noise6. What might be the cause of the children’s sickness?A. the crops didn’t do wellB.the pesticides were overusedC. the visits brought in diseasesD. there were too many insects7. What can we infer from the last sentence of the text?A. Happiness comes from peaceful life in the countryB. Health is more important than moneyC. The harmony between man and nature is importantD. good old day will never be forgottenCWhat do women really want their Mr. Right in Britain. He should be good-looking, clean-shaven and drive a silver Mercedes. And, most important of all, he should be more than 178cm.Height is apparently more important than looks to women looking for Mr. Right, a survey claims. With blue eyes, short dark-brown hair and medium build, the ideal candidatewould appear to be the film star Jake Gyllenhaal. Looks aside, the perfect partner must also love pets and appreciate fine wine, theaters and nice restaurants. Coupled with this he should have a “wacky” sense of humor, accordin g to the study of 40,000 women by UK . Mr. Right wears smart jeans and a T-shirt, weighs exactly 80.5 kilos and is a doctor or a lawyer who owns a home in a good location.He has had three serious relationships, no more than six sexual partners, h as never been married and doesn’t have children.Also important is a university education: many women specify a man with a BA degree.Smokers and football fans were not popular.Only 1 percent of women questioned would date a man who hates pets. The majority ---66 percent ---want to find a partner who is fit. Even more---68 percent---are looking for a “wacky” sense of humor.David Brown, managing director of UK said, “ The female daters on our websites certainly know what they want and the y are not afraid to let the man know.”Fortunately for imperfect men, however, not all women go for the Gyllenhaal ideal. “ Cuddly lovers” were favored by 21 percent, while 16 percent would like to find a balding gent like Bruce Willis. Another 11 percent said their Mr. Right would be ginger, while 18 percent said they would prefer a man with grey hair. And 28 percent claimed they would not care how much a man would earn. Facial hair proved surprisingly popular: 28 percent of those surveyed admitted they like a goatee and 21 percent said they would like to meet a man with a moustache. Only 2 percent of women, however, said they wouldn’t mind dating someone who was less than 152 cm tall.8. In the eyes of British women, what is the most important for Mr. Right.A. sense of humorB. AppearanceC. heightD. job9. Which of the following is not considered the standard of Mr. RightA. Love for sportsB.MoneyC. AppearanceD.Good education10. In women’s eyes, Mr. Right should be .A. a lawyerB. a teacherC. a bossD. a clerk11. From the passage we know that .A. most women like “ cuddly lovers”B. all the women like the film star Jake Gyllenhaal.C. ordinary men seem to have no chance to find lovers.D. most women like men with a sense of humor.DWhen you were very young can you remember any of the bad habits you used to have? Perhaps, as a baby, you used to suck your thumb(拇指). Of course, you do not do that any more, but yo u can surely remember your mother’s efforts to train you. The good habits you now have in such matters as personal cleanliness were part of this early training.We may not suck our thumbs any more, but as we get older we get other bad habits. We can’t give them up easily, either.(Anyone who has tried to give up smoking knows this very well!) Each period brings its own problems. In babyhood, it’s thumb-sucking; in childhood, it’s nail-biting; in our teens, it’s smoking; in middle-age, it’s over-eating, and so on. And if anyone tells you that he has no bad habits, you can be sure that he must have the worst habit of all.12. Generally speaking, a child likes ______.A. sucking thumbsB.smokingC. biting nailsD. eating too much13. According to the passage, now we have good habits such as personal cleanliness, for which we benefit from _______.A. the social conditionsB. our mothers’ early trainingC. our friends’ kind helpD. some strict rules14. At the end of the story the writer says "And if anyone tells you that he has no bad habits, you can be sure that he must have the worst habit of all". Here what do you suppose the worst habit is?A. Reading.B. Playing.C. Lying.D. Walking15.Which of the following is NOT true to the passage?A. It is very difficult to get rid of our habits.B. At different ages people have different bad habits.C. Giving up smoking is as difficult as giving up other bad habits.D. Sucking thumbs is a young chil d’s bad habit第二节（共5小题；每小题3分，满分15 分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

2015年～2016学年度下学期高一年级期中考试理数试卷本试卷分第I 卷（选择题）和第Ⅱ卷（非选择题）两部分，共150分，考试时间120分钟。

第I 卷（选择题 共60分）注意事项：1. 答第I 卷前，考生务必将自己的姓名、准考证号、考试科目用铅笔涂写在答题卡上。

2. 每题选出答案后，用2B 铅笔把答题卡对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，在改涂在其他答案标号。

一．选择题：本大题共12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.已知向量)1,2,0(=a，)2,1,1(--=b ，则b a 与的夹角为A. 0B. 45C. 90D. 1802.如图，正方体1111D C B A ABCD -中，棱长为1，PBB P '31，则P 点坐标为A.⎪⎭⎫ ⎝⎛313131，，B.⎪⎭⎫ ⎝⎛323232，， C.⎪⎭⎫ ⎝⎛313231，， D.⎪⎭⎫ ⎝⎛313232，， 3.设A(3，3，1),B(1,0，5),C(0，1，0)，则AB 的中点M 到点C 的距离|CM|=A.453 B.253 C.253 D.213 4.设m,n 是不同的直线，α、β、γ是三个不同的平面，有以下四个命题：①若αα⊥⊥n m ,，则n m ⊥； ②若n m n m //,,==γβγα 则βα//； ③若βα//αγβ⊥m ,//,，则γ⊥m ④若⊥γα，βγ⊥，则α//β。

其中正确命题的序号是A.①③B.②③C.③④D.①④ 5．正四棱锥的侧棱长是底面长的k 倍，则k 的取值范围是A.()+∞,0B.⎪⎭⎫⎝⎛+∞,21 C.()+∞,2 D.⎪⎪⎭⎫⎝⎛+∞,22 6.已知圆锥的底面半径为R ，高为3R ，在它的所有内接圆柱中，全面积最大值是A.249R π B.222R π C.238R π D.225R π7.正四棱锥P-ABCD 底面的四个顶点A,B,C,D 在球O 的同一个大圆上，点P 在球面上，如果316=-ABCD P V ，则球O 的表面积是 A.4π B.8π C.12π D.16π8.如果是水平放置的平面图形的斜二测直观图，其原来平面图形面积是A.22B.42C.4D. 89.在长方体1111D C B A ABCD -中，AB=BC=2，1AA =1，则1BC 与平面D D BB 11所成角的正弦值为A.36 B.562 C.515 D.510 10.正四面体ABCD 的棱长为1，其中线段AB//平面α，E,F 分别是线段AD 和BC 的中点，当正四面体绕以AB 为轴旋转时，线段EF 在平面α上的摄影11F E 长的范围是A.⎥⎦⎤⎢⎣⎡220，B.⎥⎦⎤⎢⎣⎡2266，C.⎥⎦⎤⎢⎣⎡3622，D. ⎥⎦⎤⎢⎣⎡2221， 11.如图，在正方体1111D C B A ABCD -中，P 为对角线1BD 的三等分点，P 到各顶点的距离的不同取值有A.3个B.4个C.5个D.6个12.已知三棱锥A-BOC ，OA,OB.OC 两两垂直，且长度均为6，长为2的线段MN 的一个端点M 在棱OA 上运动，另一端点N 在BOC ∆内运动（含边界）则MN 的中点P 的轨迹与三棱锥所围成的几何体的体积为A.36-6πB.36-3πC.3π或36-3πD.6π或36-6π第II 卷（非选择题 共90分）注意事项：第II 卷所有题目的答案考生需用黑色签字笔答在“数学”答题卡指定的位置。

2015~2016学年度第二学期模块测试高一英语第Ⅰ卷客观卷（共70分）第一部分阅读理解（共两节，满分40分）第一节：（共15小题；每小题2分，满分30分）AChristmas Eve was tomorrow. I hoped one of the packages that held a camera had already been placed under the Christmas tree. It was the only thing I wanted. I had been dropping hints to my parents. I love taking photos. My bedroom walls are covered with photos I had taken with my mom’s old camera. I’m always trying to capture (捕捉) those perfect moments in which you can hear the laughter or touch the beautiful scene, but my camera has always seemed to fall short.I knew Mom had put a few presents under the tree this morning, so I went on a hunt in my mom’s room. I opened the door and found my Christmas present was lying unwrapped on the floor — a big pink cat. I felt so disappointed.Mom seemed to notice that, and she tried to cheer me up. ―Stacy, I got your present today. I am so excited to surprise you!‖ ―I can’t wait,‖ I said.The next day I couldn’t wait any longer. I needed to tell her.―Mom, may I talk to you for a second?‖―Sure, dear. What do you need to talk about?‖ she asked.And so it came — how upset I was that I was getting a cat.―Stacy, that cat is for your sister Julia!‖ she said with a smile.―Then what am I getting?‖ I asked.She just smiled. ―You’ll have to wait and see.‖The next morning, I happily got into the living room and sat next to the tree. I pulled out the box with my name on it and opened the wrapping paper to find ...My camera! ―Thank you!‖ I said to both Dad and Mom.Dad picked up the camera and took a picture of Julia, Mom and me. It has become one of my favorite pictures. Just on that Christmas morning, I took lots of photos with my camera —my little sister making a face, my parents giving me a soft smile — and all of these photos have come to mean one thing to me: love.1. The underlined phrase ―dropping hints‖ in Paragraph 1 means _____.A. talking oftenB. suggesting indirectlyC. sending presentsD. taking pictures2. Why did Stacy feel disappointed at first?A. Her mother couldn’t understand her at all.B. Her mother didn’t buy her any Christmas gift.C. She didn’t find her present in her mom’s room.D. She mistook her sister’s Christmas gi ft for hers.3. We can infer from the passage that _____.A. her mother bought Stacy a camera after discovering her disappointmentB. Stacy finally got her gift on Christmas EveC. Stacy thought it’s OK to have an old cameraD. her mother knew what gift Stacy wanted for Christmas4. What would be the best title for the passage?A. A Christmas gift as wished.B. Love is more important than gifts.C. A wonderful Christmas.D. Love can not be bought.BWhat are you feeling right now as you start to read this? Are you curious? Hoping that you’ll learn something about yourself? Bored because this is something you have to do for school and you’re not really into it —or happy because it’s a school project you enjoy? Perhaps you’re attracted by something else, like feeling excited about your weekend plans or sad because you just went through a breakup.Emotions like these are part of human nature. They give us information about what we’re experiencing and help us know how to react. We sense our emotions from the time we’re babies. Young children react to their emotions with facial expressions or with actions like laughing orcrying. They feel and show emotions, but they don’t yet have the ability to name the emotion or say why they feel that way.As we grow up, we become more skilled in understanding emotions. Instead of just reacting like little kids do, we can identify（定义）what we feel and put it into words. With time and practice, we get better at knowing what we are feeling and why. This skill is called emotional awareness.Emotional awareness helps us know what we need and want, or don’t want! It helps us build better relationships. That’s because being aware of our emotions can help us talk about feelings more clearly, avoid or settle conflicts（冲突）better, and move past difficult feelings more easily.Some people are naturally more in touch with their emotions than others. The good news is that everyone can be more aware of their emotions. It just takes pract ice. But it’s worth the effort.Emotional awareness is the first step toward building emotional intelligence, a skill that can help people succeed in life.5. How do young children react to emotions?A. With laughter and shouts.B. With signs and expressions.C. With facial expressions and actions.D. With gestures of different kinds.6. From the passage we know that emotional awareness actually _________.A. enables us to live in society more easilyB. lets people understand others betterC. brings about conflicts between peopleD. smooths away difficulties in our life7. Where is the passage probably taken from?A. A science fiction.B. An advertisement.C. A science magazine.D. A television show.CEnglish is fast becoming the language of science around the world, but what is its future among everyday speakers? One expert points out that the percentage(比率) of native English speakers is declining(降低) while the languages of other rapidly growing regions are being spoken by increasing numbers of people. But English will continue to remain widespread and important.However, British language scholar David Graddol says English will probably drop in dominance(主导) by the middle of this century to rank after Chinese, about equally with Arabic, Hindi, and Urdu. ―The number of people speaking English as a first language continues to rise, but it isn’t rising nearly as fast as the numbers of many other languages around the world, simply because the main population group has been largely in the less developed countries where languages other than English have been spoken,‖ he says.In a recent article in the journal Science, Mr. Graddol noted that three languages that are not near the top of the list of the most widely spoken now might be there soon. These are Bengali, Tamil, and Malay, spoken in south and southeast Asia.David Crystal, the author of the Cambridge Encyclopedia of the English Language, says about 1.5 billion of the world’s six billion people speak it as a second language compared to the 400 million native speakers. But another expert on the English language says Mr. Graddol underestimates (低估) the future of its dominance. ―All the evidence suggests that the English language snowball is rolling down a hill and is getting faster, but nobody quite knows what’s going to happen because no language has been in this position before.‖ he said.8．In David Graddol’ s opinion, English will _______.A．remain widespread and importantB．be more important than any other languageC．lose its dominant positionD．die away in the near future9．The underlined sentence in the last paragraph implies that ______.A．more and more language users will choose EnglishB．the English language snowball is rolling down faster than any time in the pastC．English language will soon drop in dominanceD．snowballs will roll down faster than language balls10．How many experts does the passage mention who express their ideas about the future of English?A．2. B．3. C．4. D．5.11．What should be the best title for the passage?A．English Remaining in the Dominant PositionB．The Future of English? Who Knows?C．Opinions from Different ExpertsD．The English Language Snowball Rolling DownDInternational students are allowed to work for the university they study at or for a business at the school. But the business must directly provide a service for students. You could work at the bookstore, for example, but not for a company that is building something at the school. Also, a foreign student cannot take the place of an American in a job.International students can work 20 hours a week while having classes; more during school breaks. You can work until you finish your studies.International students normally cannot take a job that has nothing to do with their school. But the government may give permission if students are suddenly faced with difficulties. Examples include large medical bills, the shortage of financial (财政上的) aid or an unexpected change in the financial support.Students must also meet other conditions (条件). They must have studied at their American school for at least one year. Students must ask for permission again after a year if they want to continue an off-campus (校外的) job.International students who will be studying at graduate school can apply (申请) for some jobs before they come to the United States. A good example is a university job like a teaching or research assistant.Some schools pay their assistants. Others provide free education in return. Many do both. Graduate assistants might teach, give tests, grade work, help with research and clean the offices. Many universities now provide language training for foreign teaching assistants to help them improve their English. Some schools ask foreign students to pass an English speaking test before they are allowed to teach.International student offices at schools have to provide information on students each term for the Department of Homeland Security. Students who violate visa (签证) rules —for example, by working off-campus without permission —could be sent home.12. What can we learn according to the passage?A. All the international students can work for large companies.B. International students are able to work whenever they like.C. International students may be allowed to work outside the school when having financial trouble.D. International students must have studied at their American school for less than a year to get ajob.13. We may infer from the passage that ____.A. international students could apply for some jobs before coming to the USB. all the schools pay their assistants and provide free education for themC. international students cannot take their jobs before having language trainingD. international students normally are not completely free to choose their jobs14. The under lined word ―violate‖ in the last paragraph probably means ____.A. ask forB. go againstC. forgetD. obey15. What is the passage mainly about?A. The rules about getting a job while studying in the US for international students.B. The reason why international students like studying in the United States.C. What international students should do while working in the United States.D. How international students could find jobs while studying in the US.第二节：（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

2015-2016学年江西省南昌市高一（下）期中数学试卷一、选择题：本大题共12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．（5分）已知集合A={﹣2，﹣1，0，1}，B={x|﹣2≤x＜1}，则A∩B=（）A．{﹣1，0}B．{﹣1，0，1}C．{﹣2，﹣1，0}D．{﹣2，﹣1，1}2．（5分）设函数f（x）=，则f[f（3）]等于（）A．﹣1B．1C．﹣5D．53．（5分）函数y=sin2x是（）A．最小正周期为2π的偶函数B．最小正周期为2π的奇函数C．最小正周期为π的偶函数D．最小正周期为π的奇函数4．（5分）已知log b a c，则（）A．a＜b＜c B．c＜a＜b C．b＜a＜c D．b＜c＜a 5．（5分）函数f（x）=2x﹣1+x﹣5的零点所在的区间为（）A．（0，1）B．（1，2）C．（2，3）D．（3，4）6．（5分）要得到函数y=sin（x﹣）的图象，只需将函数y=sinx的图象（）A．向左平移个单位B．向右平移个单位C．向左平移个单位D．向右平移个单位7．（5分）在数列{a n}中，a1=1，a n+1=a n+2，S n为{a n}的前n项和，若S n=100，则n等于（）A．7B．8C．9D．108．（5分）设a，b∈R，且a＞b，则下列结论中正确的是（）A．＞l B．＜C．|a|＞|b|D．a3＞b3 9．（5分）下列表达式中，正确的是（）A．sin（α+β）=cosαsinβ+sinαcosβB．cos（α+β）=cosαcosβ+sinαsinβC．sin（α﹣β）=cosαsinβ﹣sinαcosβD．cos（α﹣β）=cosαcosβ﹣sinαsinβ10．（5分）函数f（x）=3sin（ωx+φ）的部分图象如图，则f（x）的单调递增区间为（）A．（kπ﹣，kπ﹣），k∈Z B．（2kπ﹣，2kπ﹣），k∈ZC．（2k﹣，2k﹣），k∈Z D．（k﹣，k﹣），k∈Z11．（5分）已知等比数列{a n}中，a n=2×3n﹣1，则由此数列的偶数项所组成的新数列的前n项和S n的值为（）A．3n﹣B．3（3n﹣1）C．D．12．（5分）菱形ABCD边长为2，∠BAD=120°，点E，F分别别在BC，CD上，=λ，=μ，若•=1，•=﹣，则λ+μ=（）A．B．C．D．二、填空题：本大题共4小题，每小题5分，共20分．13．（5分）log64+log69﹣8=．14．（5分）不等式≥0的解集是．15．（5分）函数y=sinx﹣cosx的最大值为．16．（5分）设x＞0，y＞0，若log23是log2x与log2y的等差中项，则+的最小值为．三、解答题：本大题共6个题，共70分．解答应写出文字说明、证明过程或演算步骤．17．（10分）向量=（4，﹣3），=（2x，y），=（x+，2），已知∥，⊥，求x，y的值．18．（12分）已知函数f（x）=的定义域是集合A，函数g（x）=ln （x﹣a）的定义域是集合B．（1）求集合A、B；（2）若C={x|2＜1}，求A∩C．19．（12分）已知函数f（x）=b•a x（其中a，b为正实数且a≠1）的图象经过点A（1，27），B（﹣1，3）（1）试求a、b的值；（2）若不等式a x+b x≥m在x∈[1，+∞）时恒成立，求实数m的取值范围．20．（12分）在△ABC中，内角A，B，C的对边分别为a，b，c，且bsinA=a•cosB．（1）求角B的大小；（2）若b=3，sinC=2sinA，分别求a和c的值．21．（12分）已知等比数列{a n}，满足a n+1＞a n，a1+a4=9，a2•a3=8．（1）求数列{a n}的通项公式；（2）求数列{（2n﹣1）a n}的前n项和T n．22．（12分）某渔业公司年初用98万元购买一艘捕鱼船，第一年各种费用12万元，以后每年都增加4万元，每年捕鱼收益50万元．（1）问第几年开始获利？（2）若干年后，有两种处理方案：①年平均获利最大时，以26万元出售该渔船；②总纯收入获利最大时，以8万元出售该渔船．问哪种方案更合算？2015-2016学年江西省南昌市高一（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．（5分）已知集合A={﹣2，﹣1，0，1}，B={x|﹣2≤x＜1}，则A∩B=（）A．{﹣1，0}B．{﹣1，0，1}C．{﹣2，﹣1，0}D．{﹣2，﹣1，1}【解答】解：∵A={﹣2，﹣1，0，1}，B={x|﹣2≤x＜1}，∴A∩B={﹣2，﹣1，0}，故选：C．2．（5分）设函数f（x）=，则f[f（3）]等于（）A．﹣1B．1C．﹣5D．5【解答】解：f（3）=32﹣3﹣5=9﹣3﹣5=1，f（1）=1﹣2=﹣1，即f[f（3）]=f（1）=﹣1，故选：A．3．（5分）函数y=sin2x是（）A．最小正周期为2π的偶函数B．最小正周期为2π的奇函数C．最小正周期为π的偶函数D．最小正周期为π的奇函数【解答】解：∵函数y=sin2x中ω=2∴最小正周期为T==π又∵y=sin2x满足f（﹣x）=﹣f（x）∴函数y=sin2x是奇函数因此，函数y=sin2x是最小正周期为π的奇函数故选：D．4．（5分）已知log b a c，则（）A．a＜b＜c B．c＜a＜b C．b＜a＜c D．b＜c＜a【解答】解：∵函数y=是减函数，∴由log b a c，得c＜a＜b．故选：B．5．（5分）函数f（x）=2x﹣1+x﹣5的零点所在的区间为（）A．（0，1）B．（1，2）C．（2，3）D．（3，4）【解答】解：∵f（0）f（1）=（）（1+1﹣5）＞0，排除A．f（1）f（2）=（1+1﹣5）（2+2﹣5）＞0，排除Bf（2）f（3）=（2+2﹣5）（4+3﹣5）＜0，一定有零点故选：C．6．（5分）要得到函数y=sin（x﹣）的图象，只需将函数y=sinx的图象（）A．向左平移个单位B．向右平移个单位C．向左平移个单位D．向右平移个单位【解答】解：将函数y=sinx的图象向右平移个单位，可得函数y=sin（x﹣）的图象，故选：B．7．（5分）在数列{a n}中，a1=1，a n+1=a n+2，S n为{a n}的前n项和，若S n=100，则n等于（）A．7B．8C．9D．10【解答】解：由a1=1，a n+1=a n+2，得数列{a n}是首项为1，公差为2的等差数列，则，由S n=100，得n=10．故选：D．8．（5分）设a，b∈R，且a＞b，则下列结论中正确的是（）A．＞l B．＜C．|a|＞|b|D．a3＞b3【解答】解：对于A，若a=1，b=﹣1，则＜1，故A不成立，对于B，若a=1，b=﹣1，则＞，故B不成立，对于C，若a=1，b=﹣1，则|a|=|b|，故C不成立，对于D，对于幂函数y=x3为增函数，故a3＞b3，故D成立，故选：D．9．（5分）下列表达式中，正确的是（）A．sin（α+β）=cosαsinβ+sinαcosβB．cos（α+β）=cosαcosβ+sinαsinβC．sin（α﹣β）=cosαsinβ﹣sinαcosβD．cos（α﹣β）=cosαcosβ﹣sinαsinβ【解答】解：根据两角和差的正弦、余弦公式可得，sin（α+β）=cosαsinβ+sinαcosβ成立，而cos（α+β）=cosαcosβ+sinαsinβ、sin（α﹣β）=cosαsinβ﹣sinαcosβ、cos（α﹣β）=cosαcosβ﹣sinαsinβ都不正确，故选：A．10．（5分）函数f（x）=3sin（ωx+φ）的部分图象如图，则f（x）的单调递增区间为（）A．（kπ﹣，kπ﹣），k∈Z B．（2kπ﹣，2kπ﹣），k∈ZC．（2k﹣，2k﹣），k∈Z D．（k﹣，k﹣），k∈Z【解答】解：根据函数f（x）=3sin（ωx+φ）的部分图象，可得•=，求得ω=π．再根据五点法作图可得π•+φ=π，求得φ=，∴（x）=3sin（πx+）．令2kπ﹣≤πx+≤2kπ+，求得2k﹣≤x≤2k﹣，故函数的增区间为2k﹣，2k﹣），k∈Z，故选：C．11．（5分）已知等比数列{a n}中，a n=2×3n﹣1，则由此数列的偶数项所组成的新数列的前n项和S n的值为（）A．3n﹣B．3（3n﹣1）C．D．【解答】解：等比数列{a n}中，a n=2×3n﹣1，即有a2=6，a4=54，则新数列的公比为9，即有S n==．故选：D．12．（5分）菱形ABCD边长为2，∠BAD=120°，点E，F分别别在BC，CD上，=λ，=μ，若•=1，•=﹣，则λ+μ=（）A．B．C．D．【解答】解：由题意可得•==+++=2×2×cos120°++=﹣2+4μ+4λ+λμ×2×2×cos120°=4λ+4μ﹣2λμ﹣2=1，∴4λ+4μ﹣2λμ=3 ①．•=﹣•（﹣）=（1﹣λ）=（1﹣λ）•（1﹣μ）═（1﹣λ）（1﹣μ）×2×2×cos120°=（1﹣λ﹣μ+λμ）（﹣2）=﹣，即﹣2λ﹣2μ+2λμ=﹣②，由①②求得λ+μ=，故选：C．二、填空题：本大题共4小题，每小题5分，共20分．13．（5分）log64+log69﹣8=﹣2．【解答】解：原式=log6（4×9）﹣=2﹣22=﹣2．故答案为：﹣2．14．（5分）不等式≥0的解集是．【解答】解：原不等式可化为：或，解得：﹣≤x＜，故答案为：．15．（5分）函数y=sinx﹣cosx的最大值为2．【解答】解：化简可得y=sinx﹣cosx=2（sinx﹣cosx）=2（cos sinx﹣sin cosx）=2sin（x﹣）∴当sin（x﹣）=1时，原函数取最大值2故答案为：216．（5分）设x＞0，y＞0，若log23是log2x与log2y的等差中项，则+的最小值为．【解答】解：∵log23是log2x与log2y的等差中项，∴log2x+log2y=2log23=log29，则log2xy=log29，∴xy=9．则+．故答案为：．三、解答题：本大题共6个题，共70分．解答应写出文字说明、证明过程或演算步骤．17．（10分）向量=（4，﹣3），=（2x，y），=（x+，2），已知∥，⊥，求x，y的值．【解答】解：=（4，﹣3），=（2x，y），=（x+，2），由已知a∥b，a⊥c，可得，解得：x=6，y=﹣9．18．（12分）已知函数f（x）=的定义域是集合A，函数g（x）=ln （x﹣a）的定义域是集合B．（1）求集合A、B；（2）若C={x|2＜1}，求A∩C．【解答】解：（1）因为（1+x）（2﹣x）≥0所以﹣1≤x≤2，集合A={x|﹣1≤x≤2}；…（3分）因为x﹣a＞0，所以x＞a，集合B={x|x＞a}…（6分）（2）因为，所以x2﹣2x﹣3＜0解得：{x|﹣1＜x＜3}，…（9分）则A∩C={x|﹣1＜x≤2}．…（12分）19．（12分）已知函数f（x）=b•a x（其中a，b为正实数且a≠1）的图象经过点A（1，27），B（﹣1，3）（1）试求a、b的值；（2）若不等式a x+b x≥m在x∈[1，+∞）时恒成立，求实数m的取值范围．【解答】解：（1）由已知可得，，解得a=3，b=9…（4分）（2）由（1）可得m≤3x+9x，x∈[1，+∞），令u=（x）3x+9x，x∈[1，+∞），只需m≤u min…（6分），因为函数u（x）=3x+9x在[1，+∞）为单调增函数，…（9分）所以u（x）min=12，即实数m的取值范围是：{m|m≤12}．…（12分）20．（12分）在△ABC中，内角A，B，C的对边分别为a，b，c，且bsinA=a•cosB．（1）求角B的大小；（2）若b=3，sinC=2sinA，分别求a和c的值．【解答】解：（1）∵bsinA=a•cosB，由正弦定理可得：sinBsinA=sinAcosB，∵sinA≠0，∴sinB=cosB，B∈（0，π），可知：cosB≠0，否则矛盾．∴tanB=，∴B=．（2）∵sinC=2sinA，∴c=2a，由余弦定理可得：b2=a2+c2﹣2accosB，∴9=a2+c2﹣ac，把c=2a代入上式化为：a2=3，解得a=，∴．21．（12分）已知等比数列{a n}，满足a n+1＞a n，a1+a4=9，a2•a3=8．（1）求数列{a n}的通项公式；（2）求数列{（2n﹣1）a n}的前n项和T n．【解答】解：（1）在等比数列{a n}中，∵，∴，解得：或（舍去），∴，得q=2，∴；（2）设，则T n=c1+c2+c3+…+c n=1+3•2+5•22+…+（2n﹣1）•2n﹣1，①，②由①﹣②得：=1+22+23+…+2n﹣（2n﹣1）•2n=2+22+23+…+2n﹣（2n﹣1）•2n﹣1=，∴．22．（12分）某渔业公司年初用98万元购买一艘捕鱼船，第一年各种费用12万元，以后每年都增加4万元，每年捕鱼收益50万元．（1）问第几年开始获利？（2）若干年后，有两种处理方案：①年平均获利最大时，以26万元出售该渔船；②总纯收入获利最大时，以8万元出售该渔船．问哪种方案更合算？【解答】解：（1）由题设知每年的费用是以12为首项，4为公差的等差数列．设纯收入与年数的关系为f（n），则f（n）=50n﹣[12+16+…+（8+4n）]﹣98=40n﹣2n2﹣98，由f（n）＞0，得10﹣又∵n∈N*，∴3≤n≤17．即从第3年开始获利．（2）①年平均收入为40﹣2×14=12，当且仅当n=7时，年平均获利最大，为12万元/年．此时，总收益为12×7+26=110（万元）．②f（n）=﹣2（n﹣10）2+102，∵当n=10时，f（n）max=102（万元）．此时，总收益为102+8=110（万元）．由于这两种方案总收入都为110万元，而方案①只需7年、而方案②需要10年，故方案①更合算．。

2015-2016年度第二学期期中考试高一英语试卷本试卷分为Ⅰ卷和Ⅱ卷，共100分，时间为120分钟第Ⅰ卷一、阅读理解（共两节，满分30分）第一节（共15小题，每小题2分，满分20分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题纸上将该选项标号涂黑A⑴SUMMER JOBDo you like to talk with people?Do you like to write stories?If you want to work for our magazine as a reporter,please call Karen at 558366.⑵WANTEDAre you hard-working?Do you like to meet people?If your answer is “Yes”,then we have a job for you as a waiter.Call Al Hotel at 556779.⑶HELP W ANTEDDo you like babies?Can you look after a baby for two days?If you are sure to take good care of it,call us at 766588.$80 or more.Today!Hurry!⑷CLEANER W ANTEDCan you make a large house clean and tidy?If you hope to get the job paid at $20 once,call us this evening 18:00---20:00.Tel:63380021.Where can you probably find the ads above?A.A newspaperB.A reportC.A guide bookD.A science book22.If you like children and have two days free,you can call_______for a job.A.556779B.558366C.766588D.63380023.If you are a college student of English who enjoys writing,during your summer holidays you will be more interested in the job in__________.A.ad. 1B.ad. 2C.ad. 3D.ad. 4BHabits,whether good or bad,are gradually formed.When a person does a certain thing again,he is driven by some unseen force to do the same thing repeatedly,then a habit is formed.Once a habit is formed,it is difficult,and sometimes impossible,to get rid of.It is therefore so important that we should pay great attention to the formation of habits.Children often form bad habits ,some of which remain with them as long as they live.Olfer persons also form bad habits lasting as long as they live,and sometimes become ruined by bad habits.There are other habits which,when formed in early life,are of great help.Many successful men say that much of their success has something to do with certain habits in early life,such as early rising,honesty and so on.Among the habits which children should not form are laziness,lying,stealing and so on.These are all easily formed habits.Unfortunately older persons often form habits which could have been avoided.We should keep away from all these bad habits,and try to form such habits as will be good for ourselves and others.24.________are formed little by little.A.Good habitsB.Bad habitsC.Both good habits and bad habitsD.Either good habits or bad habits25.The underlined word “them”in the firs t paragraph refers to__________.A.bad habitsB.good habitsC.childrenD.other personsCMany years ago, when I was first out of school and working in Danver, I was driving to my parents’ home in Messouri for Christmas. I stopped at a gas station(加油站) about 50 miles from Okiahoma City, where I was planning to stop and visit a friend. While I was standing in line at the cash register（收款台）,I said hello to an old couple who were also paying for gas. I took off, but had gone only a few miles when black smoke poured from the back of my car. I stopped and wondered what I should do. A car pulled up behind me. It was the couple I had spoken to at the gas station. They said they would take me to my friend’s. We chatted on the way into the city, andwhen I get out of the car, the husband gave me his business card.I wrote him and his wife a thank-you note for helping me. Soon after, I received a Christmas present from them. Their note that came with it said that helping me had made their holidays meaningful.Years later, I drove to a meeting in a nearby town in the morning, In late afternoon I returned to my car and found that I’d left the lights on all day, and the battery(电池) was dead. Then I noticed that the Friendly ford shop-a shop selling cars-was right next door. I walked over and found two salesmen in the showroom.“Just how friendly is Friendly Ford?”I asked and explained my trouble. They quickly drove a pickup truck to my car and started it. They would accept no payment; so when I got home; I wrotethem a note to say thanks, I received a letter back from one of the salesmen. No one had ever taken the time to write him and say thank you ,and it meant a lot, he said.“Thank you”- two powerful words. They’re easy to say and mean so much.26.The author planned to stop at Oklahoma City__________.A. to visit a friendB. to see his parentsC. to pay or the cash registerD. to have more gas for his car27.The words“took off”underlined in Paragraph 2 mean“___________ ”A. turned offB. moved offC. put upD. set up28.What happened when the author found smoke coming out of his car?A. He had it pulled back to the gas station.B. The couples sent him a business card.C. The couple offered to help him.D. He called his friend for help.29.The battery of the author’s car was dead because___________.A. something went wrong with the lightsB. the meeting lasted a whole dayC. he forgot to turn off the lightsD. he drove too long a distance30.By telling his own experiences, the author tries to show__________.A. how to write a thank-you letterB. how to deal with car problemsC. the kindheartedness of old peopleD. the importance of expressing (表达)thanks第二节（共5小题，每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项（选项中有两项为多余选项），并在答案卡上将该项涂黑。

2015-2016年期中测试卷第Ⅰ卷（共60分）一、选择题：本大题共12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．设集合P ={1，2，3，4}，Q ={Rx x x ∈≤,2}，则P ∩Q 等于 （ ） A ．{1，2} B ． {3，4} C ． {1} D ． {-2，-1，0，1，2} 2．设集合A=R ，集合B=R +，下列从集合A 到集合B 的映射f 只可能是 （ ） A ．||x y x =→B ．x y x =→C ．xy x 2=→D ．)1(log 22x y x +=→ 3．条件“50<<x ”是条件“3|2|<-x ”的 （ ）A ．充分但非必要条件B ．必要但非充分条件C ．充要条件D ．既非充分又非必要条件 4．函数y=log(1-x) (x<1)的反函数是（ ）A ．y =1+2-x(x ∈R)B ．y =1-2-x(x ∈R)C ．y =1+2x(x ∈R)D ．y =1-2x(x ∈R)5．设A ，B 是两个非空集合，定义集合{|,}A B x x A x B =∈∉且依据上述题意规定，集合()A A B 等于（ ）A ．AB ⋂ B ．A B ⋃C ．AD ．.B 6．已知函数()||f x x =-32，()22g x x x =-，构造函数()F x ，定义如下：当()f x ≥()g x 时，()F x ()g x =；当()()f x g x <时，()()F x f x =，那么()F x （ ）A ．有最大值3，最小值-1B ．有最大值3，无最小值C ．有最大值7-，无最小值D ．无最大值，也无最小值7．若函数)(x f 是定义在R 上的偶函数，在]0,(-∞上是减函数，且0)2(=f ，则使得0)(<x f 的x 的取值范围是( ）A ．)2,(-∞B ．),2(+∞C ．),2()2,(+∞--∞D ．（－2，2）8．函数y =f (x )的反函数f -1(x )=x x+-321 (x ∈R 且x ≠-3)，则y =f (x )的图象 （ ）A ．关于点(2, 3)对称B ．关于点(-2, -3)对称C ．关于直线y=3对称D ．关于直线x=-2对称9．设()y f x =是偶函数，对于任意正数x 都有(2)2(2),f x f x +=--已知(1)4,f -=则(3)f -等于（ ）A ．2B ．-2C ．8D ．-8 10．若2323,x x y y ---≥-则（ ）A ．0x y -≥B ．0x y -≤C ．0x y +≥D ．0x y +≤11．设函数,0x ,10x ,1)x (f ⎩⎨⎧<>-= 则)b a (2)b a (f )b a ()b a (≠-⋅--+ 的值为 （ ）A ．aB ．bC ．a, b 中较小的数D ．a, b 中较大的数12．已知函数f (x )=2x 2-mx +3，当()2,x ∈-+∞时是增函数，当(),2x ∈-∞-时是减函数，则f (1)等于 ( )A ． -3B ．13C ．7D ．含有m 的变量第Ⅱ卷（共90分）二、填空题：本题共4小题，每小题4分，共16分．把答案填在题中的横线上．13．若函数)1a ,0a (1a )x (f x≠>-= 的定义域和值域都是]2,0[ , 则实数a 等于 .14．若函数)(x f 对任意实数y x ,都有)()()(y f x f y x f +=+成立，则=)0(f ____________.15．已知a ,b 为常数,若34)(2++=x x x f ,2410)(2++=+x x b ax f ,则=-b a 5 .16．对于函数)(x f 定义域中任意的)(,2121x x x x ≠，有如下结论：①)()()(2121x f x f x x f ⋅=+；②)()()(2121x f x f x x f +=⋅；③;0)()(2121>--x x x f x f ④.2)()()2(2121x f x f x x f +<+当x x f lg )(=时，上述结论中正确结论的序号是 .三、解答题:本大题共6小题，共74分．解答应写出必要的文字说明、证明过程及演算步骤． 17．已知函数f (x )和g (x )的图象关于原点对称，且f (x )＝x 2＝2x ，求函数g (x )的解析式．(１２分)18．已知函数)(x f 满足2)12(x x f =+．(12分)（1）求)(x f 的解析式；（2）当21≤≤x 时，=)(x g )(x f ，求函数)(x g y =的反函数)(1x g -.19．已知集合A=}0)1(|{2≤++-a x a x x ，函数321)(2--=x x x f 的定义域为B ，如果A ∩B ≠φ ，求实数a 的取值范围．(12分)20．某租赁公司拥有汽车100辆. 当每辆车的月租金为3000元时，可全部租出. 当每辆车的月租金每增加50元时，未租出的车将会增加一辆. 租出的车每辆每月需要维护费150元，未租出的车每辆每月需要维护费50元. (12分)（1）当每辆车的月租金定为3600元时，能租出多少辆车？（2）当每辆车的月租金定为多少元时，租赁公司的月收益最大？最大月收益是多少？21．如图，ABC ∆中，,22,90==︒=∠BC AC C 一个边长2的正方形由位置Ⅰ沿AB 边平行移动到位置Ⅱ，若移动的距离为x ，正方形和三角形的公共部分的面积为)(x f .(12分)（1）求)(x f 的解析式；（2）在坐标系中画出函数)(x f y =的草图； C （3）根据图象，指出函数)(x f y = ⅠⅡ的最大值和单调区间．A B22．已知函数)2()3()2(2-+--=-a x a ax x f )(-∈Z a 的图象过点)0,(m )(R m ∈，设[])()()(,)()(x f q x g p x F x f f x g ⋅+⋅==),(R q p ∈. (14分) （1）求a 的值；（2）求函数)(x F 的解析式；（3）是否存在实数)0(>p p 和q ，使)(x F 在区间(])2(,f ∞-上是增函数且在()0),2(f上是减函数？请证明你的结论.参考答案一、选择题1．A 2．C 3．A 4．B 5．A 6．C 7．D 8．B 9．D 10．C 11.D 12.B 二、填空题１４．０ １５．２ １６． ②③三、解答题17．已知函数f (x )和g (x )的图象关于原点对称，且f (x )＝x 2＝2x ，求函数g (x )的解析式． 设函数()y f x =的图象上任一点00(,)Q x y 关于原点的对称点为(,)P x y ,则 000202x xy y +⎧=⎪⎪⎨+⎪=⎪⎩，， 即 00.x x y y =-⎧⎨=-⎩，∵点00(,)Q x y 在函数()y f x =的图象上.∴22,y x x -=- 即22,y x x =-+ 故g(x)＝22x x -+.18．()41)()1(2-=x x f ．（2）21()(1)(12)4g x x x =-≤≤ ，∴)410(,21)(1≤≤+=-x x x g ． 19．}31{}032|{2>-<=>--=x x x x x B 或， A=}0))(1(|{}0)1(|{2≤--=≤++-a x x x a x a x x ． 若}1|{,1≤≤=≤x a x A a 则． 1(1)A B a a φ⋂≠∴<-≤，满足．若}1|{,1a x x A a ≤≤=>则．)1(3>>∴≠⋂a a B A 满足φ ． ∴实数a 的取值范围是（－∞，－1）∪（3，+∞）．20．（1）当每辆车的月租金定为3600元时，未租出的车辆数为125030003600=-所以这时租出了88辆车.（2）设每辆车的月租金定为x 元，则租赁公司的月收益为50503000)150)(503000100()(⨯-----=x x x x f ，整理得307050)4050(5012100016250)(22+--=-+-=x x x x f .所以，当x =4050时，)(x f 最大，最大值为307050)4050(=f ，答：当每辆车的月租金定为4050元时，租赁公司的月收益最大，最大月收益为307050元.21．（1）⎪⎪⎪⎩⎪⎪⎪⎨⎧≤≤-<<-+-≤≤=)64(,)6(21)42(,66)20(,21)(222x x x x x x x x f ；（2）图略; （3）3=x时，函数值最大为3； 单调增区间为]3,0[，单调减区间为]6,3[.22．（1）由题意知0)2(=-m f ，即02)3(2=-+--a m a am ，37213721,0)2(4)3(,0,2+≤≤-∴≥---=∆∴≠∈a a a a a R m又1,-=∴∈-a Z a ． （2）1)2(34)2(,122+--=-+-=-∴-=x x x x f a 即1)(2+-=x x f ， []242221)1()()(x x x x f f x g +-=++--==∴， q x q p px x qf x pg x F +-+-=+=∴24)2()()()(．（3）存在符合题意的实数p 和q ．证明：假设存在实数)0(>p p 和q 符合题意。

2015-2016学年高一年级第二学期期中考试语文试卷第Ⅰ卷（阅读题 70分）一．现代文阅读（9分，每小题3分）阅读下面的文字，完成1～3题。

“人必有家，家必有训”。

中国人的家训智慧，自古及今，源远流长。

家训，又称家诫、家范、庭训等，指家庭或家族内部父祖辈对子孙后代的垂诫、训示。

如果行诸文字，更是被许多人特别是知识分子在立身、处世、为学等方面拿来作为教育后辈的家庭教育读物。

中国家训内容之丰富、涉及面之广博、影响之深刻是世界各国文化所不具备的。

中国家训的“一条主线”就是“尊儒”。

儒学倡导的思想观念和价值取向，非常符合历朝历代统治者的“胃口”。

所以，纵观中国几千年的历史，占统治地位的思想始终是儒学；毫无疑问，中国家训的思想主体也只能始终是“尊儒”。

孔子就把开中国家训先河的周公尊为儒学奠基人，时时不忘把他当“圣人”来崇拜。

在我们今天见到的所有家训中，他们谆谆告诫子孙的，几乎全都是儒家的人生理想、生活信条、处世哲学、审美情趣和为学方法等等。

中国家训的“三大主题”，包括“齐家治国之道”“为人处世之道”“读书治学之道”。

“齐家治国之道”，主要指的是“齐家治国”的理想。

中国家训中，讲“齐家治国”人生理想与信念的随处可见，其中的帝王家训是一个亮点。

周公辅政时教导侄子成王说：“君子所其无逸，先知稼穑之艰难。

”后来，这句家训成为诸多帝王教育后代的名训。

因为中国古代历史发展有一个特点，就是每次新朝建立时，开国之君都重视吸取前朝灭亡的教训，以家训教导子孙励精图治、不要贪图奢华生活，以免重蹈覆辙。

自周至清，汉高祖刘邦的《手敕太子文》、汉武帝刘彻“尝而后知其甘苦”的家训、唐太宗李世民的《帝范》与《诫皇属》、宋太祖赵匡胤“仁慈待人”的家训、明太祖朱元璋的《明太祖宝训》、清圣祖康熙的《庭训格言》与《圣谕十六条》、清世宗雍正的《圣谕广训》、清高宗乾隆“以德遗后者昌，以奢遗后者亡”的家训……一个个在中国历史上踏下坚实脚印的帝王，都用家训要求和鼓励他们的后代致力于“奉公勤政，报国恤民”，正是这些闪耀着智慧光辉的家训，培育出了一代又一代的帝王和社会精英，也让他们实现了“齐家治国”的理想。

2015-16学年第二学期期中试题高一 数学命题人： 审定人：一．选择题（本大题共14小题，每小题3分，共42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，把答案填在答卷．．相应空格中） 1．已知{}n a 为等差数列，若243,5a a ==，则d 的值为（ ） A ．1 B ．2 C ．3D ．42．在ABC ∆中，c b a ,,为内角,,A B C 的对边，若60A =o，b =45B =o，则a 为（ ）A ．2 B． C ．D3．函数()sin cos f x x x =的图象的一条对称轴方程是（ ） A ．6x π=B ． 3x π=C ． 4x π=D ． 2x π=4．已知实数列1,,,,8x y z --成等比数列,则y =（ ） A ．4-B ．22-C ． 4±D．±5．已知α是第一象限角，且3tan 4α=，则tan 2α的值为（ ） A ．45 B ．237C ．83D ． 2476．已知{}n a 为等差数列，若193a a π+=，则37cos()a a +的值为（ ）A ．12B ．12-C ．2D．2-7．若D ABC 的三个内角满足6sin 4sin 3sin A B C ==,则D ABC （ ）A ．一定是锐角三角形B ．一定是直角三角形C ．一定是钝角三角形D ．可能是锐角三角形,也可能是钝角三角形8．在D ABC 中,(cos18,sin18)AB =o ou u u r ,(cos63,sin63)BC =o o u u u r ,则D ABC 面积为 （ ）A ．42 B ．22 C ．23 D ．29．等差数列}{n a 中，39a a =，公差0d <，那么使}{n a 的前n 项和n S 最大的n 值为 （ ）A ．5B ．6C ．5 或6D ．6或710．某船在A 处向正东方向航行x km 后到达B 处，然后沿南偏西60o方向航行3km 到达 C 处．若A 与Ckm ，则x 的值是（ ）A ．3 BC． D11．已知数列{}n a 是各项均为正数的等比数列，数列{}n b 是等差数列，且67a b =，则有（ ） A ．39410a a b b +≤+ B ．39410a a b b +≥+C ．39410a a b b +≠+D ．39a a +与410b b +的大小关系不确定 12．在D ABC 中，c b a ,,为内角,,A B C 的对边，且1)cos(cos 2cos =-++C A B B ，则 （ ）A ．c b a ,,成等差数列B ．b c a ,,成等差数列C ．b c a ,,成等比数列D ．c b a ,,成等比数列13．在ABC ∆中，BC 边上的中线AD 长为3，且cos 8B =，1cos 4ADC ∠=-，则AC 边长为（ ）A ．4B ．16 CD14． 若2sin sinsin ()777n n S n N πππ*=+++∈L ，则在1S ，2S ，…，100S 中，正数的个数是（ ） A ．16B ．72C ．86D ．100二．填空题（本大题共6小题，每小题4分，共24分，把答案填在答卷中相应横线上） 15．sin 43cos13sin13cos 43-=oooo． 16． 已知11sin sin ,cos cos ,32αβαβ-=--=则cos()______αβ-=． 17． 如图，正方形ABCD 边长为1，分别作边,,,AB BC CD DA 上的三等分点1111,,,A B C D ，得正方形1111A B C D ，再分别取边 1111,,A B B C 1111,C D D A 上的三等分点2222,,,A B C D ，得正方形AB D 12222A B C D ，如此继续下去，得正方形3333A B C D ，……， 则正方形n n n n A B C D 的面积为 ． 18．在数列{}n a 中，若11a =，1111n n a a +=-+，则2015a = ． 19．数列{}n a ，{}n b 的前n 项和分别为n S 和n T ，若231n n S n T n =+则55a b ＝________． 20．在△ABC 中，已知4BC =，3AC =，3cos()4A B -=，则△ABC 的面积为 ．三．解答题（本大题共5小题，共54分，解答应写出文字说明，证明过程或演算步骤） 21．（本小题满分10分）求值：（1）cos 40(1)+o o（2）tan17tan 43tan 30(tan17tan 43)++o o o o o22．（本小题满分10分）已知函数2()1cos 2cos f x x x x =++．（1）求函数()f x 的单调递增区间；（2）在ABC ∆中，若()3f A =，b c +=，判断ABC ∆的形状．23．（本小题满分10分）已知数列{}n a 满足前n 的和为2n S n =，数列{}n b 满足21n n b a =+， 且前n 项的和n T ，设21n n n c T T +=-． （1）求数列{}n b 的通项公式； （2）判断数列{}n c 的单调性．24．（本小题满分10分）已知在锐角ABC ∆中，c b a ,,为角C B A ,,所对的边，且2(2)cos 2cos2Bb c A a a -=-． (Ⅰ)求角A 的值； (Ⅱ)若3=a ，求c b +的取值范围．25．（本小题满分14分）已知19a =，点1(,)n n a a +在函数2()2f x x x =+的图象上，其中 1,2,3,n =…，设lg(1)n n b a =+. (1) 证明数列{}n b 是等比数列；(2) 设1n n C nb +=，求数列{}n C 的前n 项和；(3) 设112n n n d a a =++，且数列{}n d 的前n 项和n D ，求证29n D <.第二学期期中试题参考答案高一 数学一、 选择题（本大题共14小题，每小题3分，共42分） ABCBD ACACD BDAC二、填空题（本大题共6小题，每小题4分，共24分）15．12 16．597217．59n⎛⎫ ⎪⎝⎭ 18．1 19． 914 20三、解答题（本大题共5小题，共54分，解答应写出文字说明，证明过程或演算步骤）21.()()112122. (1)()2sin(2)26f x x π=++∴函数()f x 的递增区间是,36k k k Z ππππ⎡⎤-+∈⎢⎥⎣⎦()2由题意得：1sin(2)62A π+=，3A π∴=或0A =(舍去) 3sin sin 2B C ∴+=，23sin sin()32B B π∴+-=33sin cos 222B B ∴+=，sin()62B π∴+=6B π∴=或2B π= 2C π∴=或6C π=ABC ∴∆是直角三角形23.（1）由题意得：11a =，当2n ≥时，121n n n a S S n -=-=-，1a 也满足上式。

2015-2016学年度第二学期高一英语期中考试题（全卷120分钟内完成，满分150分）说明：1. 所有选择题，请填涂在统一自备的答题卡对应的题号上。

2. 七选五的E,F,G分别用E=AB; F=BC; G=CD代替.3. 非选择题，请答在答题卷的指定位置上。

4. 交卷时只交答题卡和答题卷。

一：听力部分( 共15 小题，每小题2分，满分30分)第一节听下面5段对话。

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

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 did the man and woman mean?A.They enjoyed the party.B.Their friends seemed rather old.C.They met some funny people at the party.2.What was the score (比分) ?A. 0 : 3 .B. 4 : 0C. 0 : 143. Why can’t the man see the lawyer ?A. He didn’t make an appointment .B. The lawyer is too busy on Thursday.C. The lawyer is not in on Tuesday.4. What does the man usually do on Sundays ?A. Do some reading.B. Go shopping.C. Go swimming.5. What does “ row ” probably mean in the dialogue ?A. Boating.B. Quarrel. (争吵)C. Climbing.第二节听下面5段对话。

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

2015——2016学年度下学期高一生物期中试题2016.05注意事项：1.本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。

答题前，考生务必在将自己的姓名、考生号填写在答题卡上。

2. 回答第Ⅰ卷时，选出每小题选出答案后，用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，再涂其他答案标号。

写在试卷上无效。

3. 回答第Ⅱ卷时，将答案写在答题卡上，写在试卷上无效。

4. 考试结束，将答题卡交回。

第Ⅰ卷本卷共40小题。

每小题1.5分，共60分一、选择题（每题只有一个下确选项，将正确选项填涂到答题卡上）1．下列性状中属于相对性状的是（）A．人的身高与体重； B．狗的直毛与卷毛；C．猫的白毛与蓝眼； D．棉花的细绒与长绒。

2．人眼的虹膜有褐色的和蓝色的，褐色是由显性遗传因子控制的，蓝色是由隐性遗传因子控制的。

已知一个蓝眼男人与一个褐眼女人(这个女人的母亲是蓝眼)结婚。

这对夫妇生下蓝眼男孩的可能性是（）A．1／2 B．1／4 C．1／8 D．1／63．假如水稻高秆(D)对矮秆(d)为显性，抗稻瘟病(R)对易感稻瘟病(r)为显性，两对性状独立遗传。

现用一个纯合易感稻瘟病的矮秆品种(抗倒伏)与一个纯合抗稻瘟病的高秆品种(易倒伏)杂交，F2中出现既抗倒伏又抗病类型的比例为（）A．1／8； B．1／16； C．3／16； D．3／8。

4．在一对相对性状的遗传实验中，性状分离是指（）A．纯种显性个体与纯种隐性个体杂交产生显性的后代；B．杂种显性个体与纯种显性个体杂交产生显性的后代；C．杂种显性个体与纯种隐性个体杂交产生隐性的后代；D．杂种显性个体自交产生显性和隐性的后代。

5．基因型为Aabb的个体与aaBb个体杂交，F1的表现型比例是（）A．9：3：3：l； B．1：l：1：1； C．3：l：3：1； D．3：1。

6．一对杂合黑豚鼠产仔4只，4只鼠仔的表现型可能是（）A．三黑一白； B．全部白色； C．二黑二白； D．以上三种都有可能。