精品解析:【全国校级联考】湖南省澧县一中2018届高三一轮复习第一次检测考试数学(理科)试题(解析版)
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湖南省2018届高三·十三校联考第一次考试历史试卷联合命题: 长郡中学;衡阳八中;永州四中;岳阳县一中;湘潭县一中;湘西州民中石门一中;澧县一中;郴州一中;益阳市一中;桃源县一中;株洲市二中;麓山国际、制作总分:100分时量:90分钟考试时间:2018年3月7日上午10:30~12:00第I卷选择题(共50分)一、选择题(本大题共25小题,每小题2分,共50分。
在每题给出的四个选项中,只有一项是最符合题目要求的。
)1.易中天在《帝国的终结》中说:历史是公平的,当世界跨人文明时代门槛的时候,它给了东西方两个伟大民族以同等的机会,让它们各白创造了一种国家制度,并分别成为后世的楷模。
邦国和城邦,它们一个是帝制的渊薮,一个是民主制的源头,但都在历史上产生了深远的影响。
这种“邦国”指的是A.宗法制 B.分封制C.郡县制 D.专制主义中央集权制2.史载:“每问经十条,对策三道,皆通,为上第,吏部官之;经义通八,策通二,为中第,与出身;下第,罢归。
”材料所反映的古代选官制度是A.世官制 B.察举制C.九品中正制 D.科举制3.中国古代不同时期的政治体制显著不同,但在政治理念方面却有相同之处,相同之处体现在A.“陛下有海内,而子弟为匹夫”B.“天下之事无大小,皆决于上”C.“天下一家”“大一统”D.“天人合一”“敬德保民”4.官窑即我国古代朝廷设立的烧造陶瓷器物的窑口,其目的主要为最高统治者及贵族日常使用和祭祀之用,以及赏赉外国使节贵宾和用于外销。
官窑是由国家政府出资设立和生产,并派专人管理经营的窑口。
因为这样做主要是可以A.生产足够精美的产品B.显示朝廷的威严C.保证朝廷有丰厚的财政收入D.保证新技术的传承与创新5.黄宗羲指出:“……后世之法,藏天下于筐箧者也;利不欲其遗于下,福必欲其敛于上;用一人焉则疑其自私,而又用一人以制其私;行一事焉则虑其可欺,而又设一事以防其欺。
天下之人共知其筐箧之所在,吾亦鳃鳃然日唯筐箧之是虞,故其法不得不密。
湖南省澧县一中、益阳市一中、桃源县一中2018届高三上学期三校联考英语试题时量:120分钟总分:150分Part Ⅰ Listening (30 points) SECTION A You will hear each conversation twice. Conversation 11.Why can’t the man talk to the woman now?A.He is in trouble.B. He is cooking supper.C. He has lots of homework to do.2.What does the woman say she will do?A.Help the man with work.B. Wait in the man’s place.C. Come again later. Conversation 23. Where is Ken probably?A. At a shop.B. At home.C. In the classroom.4. Why are the speakers having a meeting?A. For fun.B. For work.C. For an exam. Conversation 35. Who is the man?A. The woman’s husband.B. The woman’s boss.C. The woman’s classmate.6. What did the woman bring back?A. Some presents from the party.B. Some information about her classmates.C. Some documents for the company.Conversation 47. Where will the speakers take a trip?A. To a popular scienceB. To a wild forest.C. To a wildlife zoo.spot.8. What advice does the man give to the woman?A. Leave some food for the animals.B. Stay far away from fire at night.C. Do not leave garbage everywhere.9. What will the speakers do today?A. Climb a mountain.B. Rest at home.C. Go fishing. Conversation 510. What are the speakers mainly talking about?A. A painting.B. Food.C. An old man.11. What is the small boy doing?A. Sitting at the table.B. Standing at the side of the table.C. Playing under thetable.12. How does the woman feel?A. Hungry.B. Strange.C. Interested. Conversation 613. What was the main reason why the man wanted to join the army?A. Most of his toys wereB. His uncle suggested that he do so.tanks.C. He often heard stories about the army.14. What did the woman and her sister use to do?A. Visit different shops.B. Pretend to be shopkeepers.C. Make money by selling waste things.15. What is the subject of the conversation?A. Childhood dreamsB. Hard work and success.C. Unhappy memories in life. Section B: Fill in each blank with no more than 3 WORDS. You will hear the passage twice.Part Ⅱ Language Knowledge (45 points)Section A (15 points) Choose one answer that best completes the sentence.21. It’s reported that energy drinks are not allowed ___ in Australia.A. to be makingB. to be madeC. to makeD. to have been made22. -Have you seen the film Lost in Thailand?-Oh, no. I ___ my homework all day yesterday.A. had doneB. didC. have doneD. was doing23. The flood last month in the east was a real disaster, ___ 19 people dead and 78 missing.A. to leaveB. leftC. leavingD. having left24. -Linda, the phone in your office can’t be connected all the time. Why?-Oh, sorry, Miss Miles. The service ___ since last Wednesday.A. has been stoppedB. is stoppedC. was stoppedD. had been stopped25. Bob, ___ these brochures among the tourists before you leave, will you?B. to distributeC. distributeD. distributingA. havingdistributed26. Tony eventually realized his childhood dream ___ he could play on one of the top teams.A. whichB. thatC. of whichD. where27. To our great relief, Jack’s illness proved not to be as serious as we ___.A. had fearedB. has fearedC. would fearD. feared28. ___ difficulty you may have, we will always fight along with you.A. WhatB. HowC. WhateverD. However29. Their answers are exactly the same. One of them ___ from the other.A. must copyB. must have copiedC. should copyD. should havecopied30. I have always been honest and straightforward, and it doesn’t matter ___ I’m talkingto.A. who is it thatB. who it is thatC. it is who thatD. it is whom that31. -Mr. Harry, we want to hear what you think about the reform being carried out inour school.-OK, I ___ to that.A. am comingB. have comeC. cameD. come32. ___ with the increasing unemployment, many people went on strike in most of theEuropean countries.A. FacingB. Being facedC. FacedD. Having faced33. I have finished a large part of the novel written by Dickens, the rest of which ___very difficult.A. isB. areC. wasD. were34. -Sunday is a public holiday, ___ children should get close to nature.-But most of them have several lessons to attend.A. whereB. whichC. in whichD. when35. ___ it rain tomorrow, we would have to cancel the football match.A. WereB. WouldC. ShouldD. WillSECTION B (18 points) Fill in each blank with the choice that best fits the context. Alcohol is often taken as a symbol of a special celebration or as a sign of friendship. So it is 36 to see people toasting with a large glass of alcohol to the health or fortune. Unfortunately, every year, alcohol also ruins thousands of lives and destroys many happy families.Some people drink alcohol to 37 their tension or pain. They mistakenly think that through drinking, they can 38 from their problems and worries. But it is never a 39 . During those hours of drinking, alcohol only numbs their senses and makes them forget their worries. However, when they wake up, their problems are still unsolved.A 40 alcohol drinker is running the great risks of getting heart diseases and liver failure. Too much alcohol taken into the body system, death will 41 occur. Alcohol also affects unborn babies disastrously. Those pregnant mothers with 42 alcohol in their blood system risk causing their unborn babies to suffer from defects (缺陷) at birth. 43 , babies are innocent victims due to their mothers’ mistakes. Therefore they should be extremely cautious of any alcohol and it is better to 44 all drinking during pregnancy.Drunken driving is one of the worst 45 of alcohol abuse. Every year, many lives are lost due to 46 driving on roads and highways. A drunk driver cannot see and judge the distance clearly and will find it difficult to control his vision and 47 on the road, so he fails to control over his reflexes. That is how accidents occur. Not only does he hurt himself but also other innocent road users.36.A. normal B. ideal C. common D. regular37.A. increase B. create C. produce D. relieve38.A. differ B. escape C. solve D. cancel39.A. solution B. success C. fact D. decision40.A. social B. addicted C. heavy D. light41.A. seldom B. hardly C. eventually D. strongly42.A. proper B. excessive C. little D. no43.A. After all B. Above all C. First of all D. All in all44.A. run out B. leave out C. carry out D. cut out45.A. reasons B. effects C. causes D. examples46.A. normal B. careless C. dangerous D. drunken47.A. judgment B. patience C. emotion D. imagination SECTION C (12 points) Fill in each blank with one word that best fits the context.A donation thank-you letter not only shows your good manners, 48 can help deepen your ties. Also, the other person will feel that 49 appreciate his or her contribution, however small it is.When you are writing 50 donation thank-you letter, you should use the name of the donor instead of just using a basic greeting. You should thank the person sincerely for his or her support and explain 51 useful it proved to you. You need to tell the person the good things 52 their donation helped you achieve. You need to be specific as to when, how and on whom or for what the donation was used. The tone of the letter should be personal, as if you 53 speaking face to face to the donor.You should send the letter in 48 hours 54 receiving the donation. If you fail to do that, then it should be sent over within a week. The sooner you send it, the 55 . Part Ⅲ Reading Comprehension (30 points)ASomeone telephoned me today asking if I would be willing to bring food to a family in need. The mother was having a major operation and would be lying down for several weeks. Of course, I responded with an immediate “Yes!”. As I planned the meal in my head, I reflected on how many times over the years I had been asked to prepare food.I have done so countless times with a very open heart.But the truly amazing thing is that I have received double over the course of my life. When my mother passed away, our house was filled with fresh dinners for weeks.A woman from the church of our community stopped by each evening with some food. The gift of food was her small way of trying to ease our pain.Later in my life, when I was on bed rest during my pregnancy with twins, women of the church again stepped in to help. They arranged babysitting for my two-year-old daughter, and brought lovely dinners to our house. Even when I was put in the hospital, my husband would bring cooked meals to my hospital room. How we relied on these dinners to feed my tired husband and young daughter.Food is all about comfort. It feeds our bodies, but it can also feed our souls. When you hear people talking about their favorite holidays, it usually includes their feelings connected with sharing food. I know I’ll have many more chances in my lifetime to prepare food for others. It is truly a gift I want to prepare and deliver to someone in need.56. We can learn from the first paragraph that the author _____.A. was tired of preparing food.B. was glad to be able to lend a hand.C. knew the family in need very well.D. had to stay in bed for several weeks.57.The author has given lots of food to others because _____.A. she has received others’ food.B. she is friendly to others.C. she is a church member.D. she is poor at cooking.58. What do we know about the author’s family?A. Her husband isn’t good at cooking.B. Her family is too poor to buy enoughfood.D. Her family lives not far from a church.C. She has a babysitter taking care of hertwins.59.Which of the following is TRUE about the author?A. She didn’t get enough food during her pregnancy.B. Her mother died when she was in hospital.C. She received food along with comfort in her hard times.D. She thinks offering food is the best way to show love.60. Which of the conclusion can we get according to the article?A. Every man has his faults.B. Actions speak louder than words.C. A good beginning makes a good ending.D. One good turn deserves another.BSometimes ideas do not appear when you are concentrating your attention and mysteriously appear when you are not. Modern science recognizes this as a result of incubating (酝酿) the problem in your subconscious (潜意识) yet can't account for why it occurs.When you quit thinking about a subject and decide to forget it, your subconscious mind doesn't quit working. Your thoughts keep making associations. This is why you're experienced suddenly remembering names, getting solutions to problems you've forgotten about, and ideas out of the blue when you're relaxing and not thinking about any particular thing.You may try solving a problem with your subconscious mind by writing a letter to it. The letter should read just like a letter you would send to a real person. Seal the letter and put it away.Let go of the problem. Don't work on it. Forget it. Do something else. This is the incubation stage when much of what goes on occurs outside your focused awareness, in your unconscious. Open the letter in two days. The answer might magically pop into your mind.An advertising agency was under pressure to come up with a marketing campaign to introduce new television shows. Bob, the creative director, wrote the following letter which he addressed to his subconscious mind. He called his subconscious mind "Secret Expert".Secret Expert,I need to come up with a new marketing program to introduce a new season of TV shows. I'm interested in coming up with some kind of campaign that will capture the audience's attention more than one time. Is there something people need that we can advertise on? What kind of products, foods and services should we investigate? I need a fresh approach to advertising. Your mission is to give me a new idea on how to advertise TV shows. Thanks, BobBob mailed the letter to himself and when he read what he had written, he got his brainstorm, which was to advertise on "eggs". Somehow an association between "foods", "need", and "fresh" approach" inspired the thought of using "fresh eggs to advertise". He arranged to place laser imprints of the slogans for the TV shows on eggs —some thirtymillion.The consumers look at a single egg at least a few times, when they buy the eggs at the store, when they transfer them to the refrigerator, and when they crack them open. It's unlike any other ad medium in the world, because you're looking at it while you're using it.61. You remember names when you're not thinking about them because your subconscious mind ____.A. is still workingB. is full of namesC. stops workingD. improves your memory62. Which of the following was included in Bob's letter to his subconscious mind?A. How the solution could be found.B. When he would need its help.C. What product could be advertisedD. What he wanted it to do63. During the incubation stage, your focused awareness _____.A. waits for an answerB. controls yourthoughtsC. doesn't workD. helps yourunconscious64. In what way did the ad on eggs help?A. It helped Bob to get a brainstormB. It made the TV shows known to peoplerepeatedly.C. It greatly increased the sales ofeggs.D. It made sure consumers could get fresh eggs.65. Which of the following can be the best title for the passage?A. Difference between Subconscious and AwarenessB. A fresh Approach to AdvertisingC. Communicating with Your Subconscious MindD. Solving problems with your Subconscious MindCHow often do you go on holiday? Going on holiday makes you feel good while you're there-you gain the health benefits for months, new research shows.Jetting off to exotic destinations such as the Maldives cuts your blood pressure, helps you sleep better and bounce back from stress, it found. The benefits last at least a fortnight longer than the vacation and can be felt for months in some cases where it is claimed. Experts say workers should always take their full holiday entitlement each year-as many as one in three don't-to get the benefits.The study compared key health markers in holidaymakers visiting Thailand, Peru or the Maldives, with people who stayed at home and continued working. The average blood pressure of those on holiday dropped by 6% while the workers saw their blood pressure rise by 2% over the same period. The sleep quality of holiday-makers improved by 17% while that of the non-holidaymakers deteriorated by 14%.The study also found the ability of vacationers to recover from stress—known as the stress-resilience test-improved by 29%. There was a 71% fall in stress resilience scores among workers. Test showed a fall in blood glucose levels, reducing the risk of diabetes, trimmer waistlines and enhanced mood and energy levels, with the effects sustained for at least 2 weeks after returning home.The Holiday Health Experiment was conducted by tour operator Kuoni and Nuffield Health, the UK's largest healthcare charity.66. The author intends to tell us that _____.A. it is best to go to foreign countries like Maldives.B. we had better go on holiday for the benefits of healthC. we have to go on holiday as much as possibleD. you'll certainly get depressed if you don't go on holiday67. According to the article, how many people go on holiday?A. Two thirdsB. 17%C. One thirdD. A quarter68. The underlined word "deteriorated" in Paragraph 3 probably means "______".A. remainedB. roseC. improvedD. worsened69. Which of the following can we infer from the passage?A. Holiday makers are more adaptable than non-holidaymakers.B. The result of the study is mostly based on the description from the people involved.C. The further you go, the better you benefit.D. Most people like to stay at home during the holiday.70. The best title of the passage is ______.A. A Holiday Health ExperimentB. Key Health Markers in HolidaymakersC. Health Benefits from HolidayD. Health Problems of Having HolidayPart Ⅳ Writing (45 points) Section A (10 points): Fill in the numbered blanks by using the information from the passage. Write NO MORE THAN THREE WORDS for each answer. Career development refers to the life-long process of continuously managing your professional work. The process assists people in defining their career goals and ambitions clearly.Education is the first step in career development because education received in various institutions like elementary school, high school, and university helps in increasing the depth of a student’s knowledge.Career development is also concerned with personality as a person needs to present himself in the best way possible in his workplace to make a mark for himself. Relevant personal qualities are important, such as loyalty to the company, responsibility and so on, since these qualities can establish your credibility and honesty among colleagues.Along with quality of education and personality, career development also emphasizes the important aspects of training. Knowledge learned in classrooms needs to be applied smartly to doing the work assigned in a satisfactory way. For this, a good deal of training needs to be provided for the employees by their employers. Get as much training as possible! Take any training available from your employers.There are many objectives of career development, one of which is identifying your strengths and weaknesses. Your career won’t move in a wrong direction only if you make full use of your strengths and working on your weaknesses. A person understands his worth with the help of career development. Thus career development affects current and future performance of people.Because of the development of globalization, employers may have to work in different places across the world. Therefore, adapting to the conditions that are changing is also one objective of career development. In the absence of career development programs, employees may witness a reduced productivity which will affect their career advancement.Information is another objective of career development. Employees and students must have right information about career planning and various opportunities available to them at the right time to take opportunities and achieve their goals. They need to be aware of the skills and qualities which are essential in a modern business environment.As has been stated above, one really has to take into account and do a lot in the process of career development. But what’s the most important is that those who are going to create a bright and plentiful career future must improve themselves constantly over the whole life span.SECTION B (10 marks) Read the following passage. Answer the questions according to the information given in the passage and the required words limit.The people of Dubai have extended their reach-into the sky. In January, the world’s tallest building opened there. The skyscraper, called the Burj Khalifa, is 162 stories high, with 60-mile views from the top of the tower. At 2,717 feet, the structure stands more than 1,000 feet taller than the last tallest building, the Taipei 101 in Taiwan. After five years of construction, the Buji Khalifa opened with a party. But now the tower is getting down to business. The skyscraper has 37 floors of office space and 1,000 apartment. It will house the world’s largest mall. The owners hope that eventually more than 12,000 people will live and work in the 6 million square feet inside the building. The Burj Khalifa was originally named the Burj Dubai, or Dubai Tower, after the region where it was built. Dubai is a sheikdom (酋长国) which is part of the United Arab Emirates. Recently, Dubai needed a loan. Sheik Khalifa, President of the United Arab Emirates and sheik of neighboring Abu Dhabi, helped out. Burj Dubai was renamed Burj Khalifa in his honor.The towering structure has broken a number of records besides the record for height. It has the world’s highest swimming pool, on the 123rd floor. It also has the world’s highest outdoor observation deck: Visitors can stand in the open air 124 stories above ground. Fifty-four elevators race up and down, going as fast as 40 miles an hour. Shouldthe elevators stop working, 3,000 stairs go from top to bottom. And when it’s time toclean the windows, 36 workers will spend about three months washing them.Reaching half a mile into the sky, the Burj Khalifa soars over even the world’s other highest skyscrapers. Its height outstrips the Taipei 101 by 60 stories. It stands morethan 1,100 feet taller than China’s Shanghai World Financial Center. And Dubai’s newtower dwarfs one of the most famous skyscrapers of all: it stands more than twice ashigh as the Empire State Building in New York City, the world’s tallest building formore than 40 years.81. How tall is the Taipei 101? (no more than 2 words) (2 marks)82. Why was Dubai Tower changed into the Buji Khalifa? (no more than 12 words) (3 marks)83. What’s the main idea of the fourth paragraph? (no more than 9 words) (2 marks)84. Please give a suitable title to this passage. (no more than 10 words) (3 marks)Section C (25points):Write an English composition according to the instructions given below.阅读下面一则新闻和一副图片:HLLYBQ 整理 供“高中试卷网( )”·10·请根据此新闻和图片写一篇不少于120词的文章,内容包括: 1. 简要描述图片和新闻中的社会现象;2. 分析产生此现象的原因 3谈谈你的看法和建议 开头已写出,不计入字数Nowadays, with the increasing popularity of smart phones (智能手机), …家人朋友同事聚会吃饭,以前其乐融融一起天南海北地扯,现在随着智能手机的流行,出现了一种“怪现象”:一桌子人一起吃饭,大家少有交谈,都围着餐桌玩起了手机。
湖南省澧县一中、益阳市一中、桃源县一中2018届高三上学期三校联考文数试题时量:120分钟 总分:150分一、选择题:本大题共9小题,每小题5分,共45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.若集合{|12},A x x =-<<{|20}B x x =-<<,则集合A B ⋂=( )A. {|10}x x -<<B.{|12}x x -<<C.{|22}x x -<<D.{|21}x x -<< 2.复数22(1)i i -=( )A.-4B.4C.-4iD.4i 3. 已知条件:p x y >,条件q p 是q 的( )A.充分不必要条件B. 必要不充分条件C. 充要条件D. 既不充分也不必要条件 4.设α和β是两个不重合的平面,给出下列命题: ①若α外一条直线l 与α内一条直线平行,则//l α;②若α内两条相交直线分别平行于β内的两条直线 ,则//αβ; ③设l αβ=,若α内有一条直线垂直于l ,则αβ⊥;④若直线l 与平面α内的无数条直线垂直,则l α⊥.上面的命题中,真命题的序号是 ( )A. ①③B. ②④C. ①②D. ③④ 5.已知向量||2,||4,4OA OB OA OB ==⋅=则以,OA OB 为邻边的平行四边形的面积为( )A.6. 如右图是一个算法的程序框图,该算法输出的结果是 ( )A.12B. 23C.34D. 457.若sin()(0,0,||)2y A x A πωϕωϕ=+>><的最小值为2-,其图像相邻最高点与最低点横坐标之差为2π,且图像过点(0,1),则其解析式是( )A .2sin()6y x π=+B .2sin()3y x π=+C .2sin()26x y π=+D .2sin()23x y π=+8.已知数列}{n a 的前n 项的和n S 满足)(12*∈-=N n S n n ,则数列1{}n n a a +的前n 项的和为( )A. 42n- B. )14(31-nC.2(41)3n - D. 1(41)6n -9.假设在时间间隔T 内的任何时刻,两条不相关的短信机会均等地进入同一台手机.若这两条短信进入手机的间隔时间不大于(0)t t T <<,则手机受到干扰.手机受到干扰的概率是( ) A.2()tTB. 2(1)t T -C. 21()t T -D. 21(1)t T--二、填空题:本大题共6个小题,每小题5分,共30分,把答案填在题中的横线上。
1 2345 6 月份价格湖南省岳阳县一中、澧县一中2018届高三第一次联考政治试题时量:90分钟 总分:100分一、选择题(下列各题的四个选项中,只有一项是最符合题意的。
每小题2分,共50分) 1.在世界严重的金融风暴中,黄金和白银成为了世界财富最安全的“诺亚方舟”。
这是因为A.金银天然是货币,货币天然是金银B.作为财富的金银不存在任何市场风险C.金银作为特殊商品本身具有价值D.国际市场只能由金银作为结算的工具2.2018年9月,小王采用银行按揭贷款的方式购买了价格为58万元的住宅商品房,其中首付现金28万元,在以后15年内分期付清银行贷款30万元以及利息8万元。
这里的58万元、28万元、8万元分别执行了货币的 职能。
A.价值尺度、流通手段、支付手段B.流通手段、价值尺度、支付手段C.价值尺度、支付手段、储藏手段D.支付手段、流通手段、储藏手段 3.假定某国在一年内,商品价格总额增长50%,货币流通次数增加20%,则该国1元纸币的购买力相当于原来 元的购买力。
该国这一年最有可能出现的现象是 A.0.25 投资增加 B.1.25 物价上涨 C.0.25 投资减少 D.1.25 物价下跌 4.下列函数图像描述的是某商品在半年中的价 格走势,根据该图下列理解正确的是( ) ①该商品很可能处于卖方市场 ②该商品的互补商品需求量有所增加 ③该商品的替代商品需求量有所减少 ④生产者可能会扩大该商品生产 A.①②B.①④C.②③D.②④2018年7月21日,外汇市场美元对人民币汇率为1美元对人民币6.8311元。
2018年7月16日,外汇市场美元对人民币汇率为1美元对人民币6.8315元。
据此回答5—6题。
5.美元对人民币汇率的变化表明A.美元汇率升高,人民币贬值B.美元汇率降低,人民币贬值C.人民币汇率降低,人民币贬值D.人民币汇率升高,人民币升值 6.人民币汇率发生上述变化①将会吸引更多的外国资本来我国投资 ②将对我国商品的出口带来不利影响 ③以美元兑换人民币的价格将会升高 ④会加剧我国的就业压力 A.①②③ B.②③④ C.①③④ D.①②④7.2018年7月,中华环保联合会在北京正式启动“2018绿色家庭评选公益活动”,并发行绿色消费券,对在家庭环保方面有创意、有贡献的家庭进行表彰,以促进绿色消费,推动节能减排。
澧县一中2018-2019学年高三上学期11月月考数学试卷含答案一、选择题1. 已知集合A={0,m ,m 2﹣3m+2},且2∈A ,则实数m 为( )A .2B .3C .0或3D .0,2,3均可2. 二项式(x 2﹣)6的展开式中不含x 3项的系数之和为( )A .20B .24C .30D .363. 已知f (x )=m •2x +x 2+nx ,若{x|f (x )=0}={x|f (f (x ))=0}≠∅,则m+n 的取值范围为( ) A .(0,4) B .[0,4) C .(0,5] D .[0,5]4. 在ABC ∆中,60A =,1b =sin sin sin a b cA B C++++等于( )A. B.3 C.3D.25. 从一个边长为2的等边三角形的中心、各边中点及三个顶点这7个点中任取两个点,则这两点间的距离小于1的概率是( ) A .71 B .73 C .74 D .76 6. 某几何体的三视图如下(其中三视图中两条虚线互相垂直)则该几何体的体积为( )A.83 B .4 C.163D .2037.下面是关于复数的四个命题:p 1:|z|=2, p 2:z 2=2i ,p 3:z 的共轭复数为﹣1+i , p 4:z 的虚部为1. 其中真命题为( )A .p 2,p 3B .p 1,p 2C .p 2,p 4D .p 3,p 48. 一个几何体的三视图如图所示,且其侧视图是一个等边三角形,则这个几何体的体积为( )班级_______________ 座号______ 姓名_______________ 分数__________________________________________________________________________________________________________________A .B .(4+π)C .D .9. 已知集合M={x|x 2<1},N={x|x >0},则M ∩N=( ) A .∅ B .{x|x >0} C .{x|x <1} D .{x|0<x <1}可.10.执行右面的程序框图,如果输入的[1,1]t ∈-,则输出的S 属于( ) A.[0,2]e - B. (,2]e -? C.[0,5] D.[3,5]e -【命题意图】本题考查程序框图、分段函数等基础知识,意在考查运算能力和转化思想的运用. 11.圆锥的高扩大到原来的 倍,底面半径缩短到原来的12,则圆锥的体积( ) A.缩小到原来的一半 B.扩大到原来的倍 C.不变 D.缩小到原来的1612.某单位安排甲、乙、丙三人在某月1日至12日值班,每人4天.甲说:我在1日和3日都有值班; 乙说:我在8日和9日都有值班;丙说:我们三人各自值班的日期之和相等.据此可判断丙必定值班的日期是( ) A .2日和5日 B .5日和6日C .6日和11日D .2日和11日二、填空题13.运行如图所示的程序框图后,输出的结果是14.【盐城中学2018届高三上第一次阶段性考试】已知函数f (x )=()210{ 21(0)xxx e x x x +≥++<,若函数y=f (f (x )﹣a )﹣1有三个零点,则a 的取值范围是_____. 15.【南通中学2018届高三10月月考】定义在上的函数满足,为的导函数,且对恒成立,则的取值范围是__________________.16.集合A={x|﹣1<x <3},B={x|x <1},则A ∩B= .17.设为单位向量,①若为平面内的某个向量,则=||•;②若与平行,则=||•;③若与平行且||=1,则=.上述命题中,假命题个数是 .18.已知角α终边上一点为P (﹣1,2),则值等于 .三、解答题19.在对人们的休闲方式的一次调查中,共调查了124人,其中女性70人,男性54人,女性中有43人主要的休闲方式是看电视,其余人主要的休闲方式是运动;男性中有21人主要的休闲方式是看电视,其余人主要的休闲方式是运动.(1)根据以上数据建立一个2×2的列联表;(2)能否在犯错误的概率不超过0.01的前提下,认为休闲方式与性别有关系.独立性检验观察值计算公式,独立性检验临界值表:20.如图,边长为2的正方形ABCD绕AB边所在直线旋转一定的角度(小于180°)到ABEF的位置.(Ⅰ)求证:CE∥平面ADF;(Ⅱ)若K为线段BE上异于B,E的点,CE=2.设直线AK与平面BDF所成角为φ,当30°≤φ≤45°时,求BK的取值范围.21.某港口的水深y(米)是时间t(0≤t≤24,单位:小时)的函数,下面是每天时间与水深的关系表:t 0 3 6 9 12 15 18 21 24y 10 13 9.9 7 10 13 10.1 7 10经过长期观测,y=f(t)可近似的看成是函数y=Asinωt+b(1)根据以上数据,求出y=f(t)的解析式;(2)若船舶航行时,水深至少要11.5米才是安全的,那么船舶在一天中的哪几段时间可以安全的进出该港?22.已知椭圆E的长轴的一个端点是抛物线y2=4x的焦点,离心率是.(1)求椭圆E的标准方程;(2)已知动直线y=k(x+1)与椭圆E相交于A、B两点,且在x轴上存在点M,使得与k的取值无关,试求点M的坐标.23.在极坐标系内,已知曲线C1的方程为ρ2﹣2ρ(cosθ﹣2sinθ)+4=0,以极点为原点,极轴方向为x正半轴方向,利用相同单位长度建立平面直角坐标系,曲线C2的参数方程为(t为参数).(Ⅰ)求曲线C1的直角坐标方程以及曲线C2的普通方程;(Ⅱ)设点P为曲线C2上的动点,过点P作曲线C1的切线,求这条切线长的最小值.24.设{a n}是公比小于4的等比数列,S n为数列{a n}的前n项和.已知a1=1,且a1+3,3a2,a3+4构成等差数列.(1)求数列{a n}的通项公式;(2)令b n=lna3n+1,n=12…求数列{b n}的前n项和T n.澧县一中2018-2019学年高三上学期11月月考数学试卷含答案(参考答案)一、选择题13.014.11 [133e e⎧⎫+⋃+⎨⎬⎩⎭,)15.16.{x|﹣1<x<1}.17.3.18..三、解答题19.20.21.22.23.24.。
湖南省澧县一中、益阳市一中、桃源县一中2018届高三上学期三校联考化学试题时量:90分钟总分:100分可能需要的相对原子质量:C-12 H -1 O-16 Cu-64 N-14 S-32Ⅰ卷(选择题,共42分)一、选择题(本题共21小题,每小题2分,共42分,每小题只有一个选项符合题意)1.化学与科学、技术、社会、环境密切相关。
下列有关说法中错误..的是A.向煤中加入适量的石灰石,可以减少燃烧产物中SO2的量B.加热能杀死甲型H1N1流感病毒是因为构成病毒的蛋白质受热变性C.太阳能电池板中的硅在元素周期表中处于金属与非金属的交界位置D.废旧电池应集中回收,并填埋处理2.下列分类正确的是A.酸性氧化物:二氧化硅、三氧化硫、二氧化碳B.共价化合物:硫酸、水、纯碱C.硅酸盐产品:水晶、玻璃、陶瓷D.放热反应:酸碱中和、金属的缓慢氧化、Ba(OH)2·8H2O与NH4Cl的反应3.下列反应原理不符合工业冶炼金属实际情况的是A. 2HgO 2Hg+O2↑B.4Al+3MnO2 2Al2O3+3MnC. 2AlCl3 2Al+3Cl2↑ D.4CO+Fe3O4 3Fe+4CO24.下列物质中,既含有离子键又含有非极性键的是A.Na2O2 B.CO2 C.苯 D.NH4Cl5.下列说法正确的是A.HClO和NaClO都是弱电解质B.胶体能产生丁达尔效应,而溶液不能C.1molH2SO4与1molBa(OH)2反应放出的热量叫做中和热D.HCl和NaCl溶于水破坏的化学键完全相同6.下列反应所得溶液中一定只含一种溶质的是A.向NaOH溶液中通入CO2B.向Ca(OH)2溶液中通入Cl2C.向蒸馏水中加入少量金属Na D.向MgSO4溶液中滴入NaOH溶液7.下列有关金属及其化合物的说法中正确的是A.铝和氢氧化钠溶液反应生成Al(OH)3和H2ONa OB.钠在空气中燃烧生成淡黄色的2C.铁在高温下与水蒸气反应生成Fe2O3和H2D.用碳酸钠和氢氧化钙反应制NaOH8.下列说法正确的是A .苯酚沾在手上,应立即用NaOH 溶液清洗B .给试管中液体加热时,液体不超过试管容积的1/3C .向NaOH 溶液中逐滴加入少量饱和FeCl 3溶液,可制得Fe(OH)3胶体D .试管壁上的银镜可用稀硫酸洗涤9.设N A 为阿伏加德罗常数,下列说法不正确...的是 A .标准状况下C 2H 4气体22.4L ,所含电子数为16N A B .0.1mol 铁在纯氧中充分燃烧,失电子数为0.3N A C .1L 0.2mol /L 的氯化铁溶液中,氯离子数为0.6N A D .室温下,16g 甲烷含有共价键数为4N A 10.某实验报告记录了如下数据,其中数据合理的是A .用温度计测量出酒精的沸点为78.5℃B .用50mL 量筒量取23.00 mL 浓盐酸C .用广泛pH 试纸测得氯水的pH 值为2.1D .用托盘天平称量氧化铜粉末为11.70g 11.下列关于同温同压下的两种气体12C 18O 和14N 2的判断正确的是A .体积相等时密度相等B .原子数相等时具有的中子数相等C .体积相等时具有的电子数相等D .质量相等时具有的质子数相等 12.下列实验不能..达到预期目的的是13.正确表示下列反应的离子反应方程式为A .NH 4HCO 3溶于过量的浓KOH 溶液中并加热: NH 4++ HCO 3-+2OH - =====△CO 32-+ NH 3↑+2 H 2O B .Fe 溶于硝酸:Fe+2H +﹦Fe 2++H 2↑C .向硫酸铵溶液中加入氢氧化钡溶液:Ba 2++SO 42-=BaSO 4↓ D .醋酸除去水垢:2H ++CaCO 3=Ca 2++ CO 2↑+ H 2O14.在常温常压下,向100mLCH 4和Ar 的混合气体中通入400mLO 2,点燃使其完全反应,最后在相同条件下得到干燥气体450mL ,则反应前混合气体中CH 4和Ar 的物质的量之比为 A .1:4 B . 1:3 C .1:2 D . 1:1 15.下列有关说法正确的是A .含有大量-2AlO 的溶液中:K +、+3Al、-Br 、-3HCO 可共存B .CO (g )的燃烧热是283.0kJ ·1mol -,则)g (O )g (CO 2)g (CO 222+=反应的1mol kJ 0.566H -⋅+=∆C .用NaOH 溶液雕刻工艺玻璃上的纹饰D .在某钠盐溶液中含有等物质的量的-Cl 、-I 、-23SO 、-23CO 、-3NO 、-23SiO 中一种或多种,当加入过量的盐酸产生气泡,溶液颜色变深但仍澄清,阴离子种数减少3种,则原溶液中一定有-23CO16.将磁性氧化铁放入稀HNO 3中可发生如下反应:3Fe 3O 4+28HNO 3 = 9Fe(NO 3)x +NO ↑+14H 2O ,下列判断合理的是 A .Fe(NO 3)x 中的x 为2B .稀HNO 3在反应中只表现氧化性C .磁性氧化铁中的所有铁元素全部被氧化D .反应中每还原0.3mol 氧化剂,就有0.9mol 电子转移17.右图为元素周期表中短周期的一部分,下列说法正确的是A .非金属性:Y>Z>MB .离子半径:M ->Z2->Y -C .ZM 2分子中各原子的最外层均满足8电子稳定结构D .三种元素中,Y 的最高价氧化物对应的水化物酸性最强18.汽车的启动电源常用铅蓄电池,放电时的电池反应如下:PbO 2 +Pb+2H 2SO 4=2PbSO 4+2H 2O ,根据此反应判断下列叙述中正确的是A .PbO 2是电池的负极B .负极的电极反应式为:Pb+SO 42--2e –= PbSO 4 C .PbO 2得电子,被氧化 D .电池放电时,溶液酸性增强19.如下图所示,△H 1=-393.5 kJ •mol -1,△H 2=-395.4 kJ •mol -1,下列说法正确的是A .1 mol 石墨的总键能比1 mol 金刚石的总键能小1.9 kJB .石墨和金刚石的转化是物理变化C .金刚石的稳定性强于石墨D .C (s 、石墨)== C (s 、金刚石) △H= +1.9 kJ •mol -120.关于下列各装置图的叙述中,正确的是①②③④A.实验室用装置①制取氨气B.装置②可用于制备氢氧化亚铁并观察其颜色C.装置③中X为苯,可用于吸收氨气,并防止倒吸D.装置④是原电池,锌电极为负极,发生氧化反应21.CuSO4是一种重要的化工原料,其有关制备途径及性质如图所示。
“五市十校教研教改共同体”2018届高三第一次联考化学一、单项选择题 3*15=45分1、以下对于化学反响种类的表达中,正确的选项是()凡是生成盐和水的反响都是中和反响复分解反响必定没有单质参加生成一种单质和一种化合物的反响必定是置换反响两种酸之间必定不可以发生反响2、某学习兴趣小组议论辨析以下说法:①经过化学变化可以实现16O与18O间的互相转变;②灼烧钠的化合物时,火焰呈黄色,发生化学反响;③碱性氧化物必定是金属氧化物;④只由一种元素构成的物质必定为纯净物;⑤石墨和C60具有同样的化学性质;⑥糖类、蛋白质、油脂属于天然高分子化合物,此中说法正确的选项是()A.①② B.③⑤ C.①③④D.③⑤⑥3、在无色溶液中能够大批共存的一组离子是()2++-Cl -++--A、Cu NaNO3B、NH4KHCO3OH+Al +AlO-Cl-D+2+2-C、Na、K Mg SO4-HCO34、以下说法正确的选项是(N A为阿伏加德罗常数的值)()A、·L的Na2S溶液中,含S2-的数量为AB、在密闭容器中加入1molN2和3molH2,充足反响后可获得NH3的分子数为2NAC、1mol-CH3(甲基)中含有9N A个电子D、常温常压下,氯气与足量镁粉完整反响,转移电子的数量为2NA5、正确掌握化学用语是学好化学的基础,以下相关化学用语正确的选项是()-的水解方程式:-+2-A、HCO HCO+HO?HO+CO33233B、乙烯的焚烧热是bkJ/mol,表示焚烧热的热化学方程式为C2H4(g)+3O2(g)=2CO(g)+2H2O(g)△H=-bkJ/molC、以铜为电极电解氯化铜溶液::Cu2++2Cl-==Cu+Cl2↑。
D、在酸性碘化亚铁溶液中通入少许氧气:4I-+O2+4H+=2I2+2H2O6、类推的思想方法在化学学习与研究中常常用到,但有时会产生错误的结论。
所以,推出的结论最后要经过实践的查验才能决定其能否正确。
湖南省澧县一中、岳阳县一中2018届高三11月联考试卷(化学)时量:90分钟分值:100分可能用到的相对原子质量:N—14 Mg—24 Al—27 O—16 S—32作答要求:请考生领到试卷和答题卡后,认真检查有无缺印、漏印、重印等问题,如有问题,请提出更换1、请在试卷规定的位置填写规定的考生信息2、所有答案必须全部填涂和填写在答题卡上,凡是答在试卷上的答案一律无效3、严禁考生将答题卡带出考室,违者作无效处理。
第Ⅰ卷(选择题,共48分)一、选择题(本题包括16小题,共48分)1.下表中所示物质或概念间的从属关系一定符合右图的是()2.下列性质中,可以证明某化合物内一定存在离子键的是()A.溶于水 B.熔点较高 C.水溶液能导电 D.熔融状态能导电3.设N A为阿伏伽德罗常数的数值,下列说法正确的是()A.常温下,23g NO2含有N A个氧原子B.1L 0.1m ol·L-1的氨水含有0.1N A个OH-C.标准状况下,22.4LCCl4含有个N A个CCl4分子D.1molCl2与足量的NaOH溶液反应,转移2N A个电子4.室温下,下列各组离子在指定溶液中能大量共存的是()A.饱和氯水中:Cl-、NO3-、Na+、SO32-B.c(H+)=1.0×10-13mol/L溶液中:OH-、K+、SO42-、Br-C.Na2S溶液中:SO42-、 K+、Cl-、Cu2+D.pH=12的溶液中:NO3-、I-、Na+、Al3+5.下列离子方程式书写正确的是( )A.石灰乳与Na2CO3溶液混合:Ca2++CO32-=CaCO3B.NH4HSO3溶液与足量的NaOH溶液混合加热:NH4++HSO3-+2OH-=NH3 +SO32-+2H2OC .酸性条件下KIO 3溶液与KI 溶液发生反应生成I 2:IO 3-+5I -+3H 2O =3I 2+6OH -D .AgNO 3溶液中加入过量的氨水:Ag ++NH 3·H 2O =AgOH ↓+NH 4+6.依据元素周期表及元素周期律,下列推断正确的是( )A .H 3BO 3的酸性比H 2CO 3的强B .Mg(OH)2的碱性比Be(OH)2的强C .HCl 、HBr 、HI 的热稳定性依次增强D .若M +和R 2-的核外电子层结构相同,则原子序数:R >M7.131 53I 是常规核裂变产物之一,可以通过测定大气或水中131 53I 的含量变化来检测核电站是否发生放射性物质泄漏。
湖南省重点名校2018届高三大联考(入学考试)语文试卷本试题卷共8页,22题。
全卷满分150分。
考试用时150分钟。
【注意事项】1.答卷前,先将自己的姓名、准考证号填写在试题卷和答题卡上,并将准考证号条形码粘贴在答题卡上的指定位置。
2.选择题的作答:每小题选出答案后,用合乎要求的2B铅笔把答题卡上对应题目的答案标号涂黑。
写在试题卷、草稿纸和答题卡上的非答题区域均无效。
3.非选择题的作答:用签字笔直接答在答题卡上对应的答题区域内。
写在试题卷、草稿纸和答题卡上的非答题区域均无效。
4.考试结束后,请将本试题卷和答题卡一并上交。
第I卷阅读题(共70分)一、现代文阅读(35分)(一)论述类文本阅读(9分,每小题3分)阅读下面的文字,完成1~3题。
中国文学史的本与末鲁迅先生在《魏晋风度及文章与药及酒之关系》中指出“用近代的文学眼光来看,曹丕的一个时代可说是‘文学的自觉时代’”,其本意为嘲讽新月派与创造社“为艺术而艺术”的文学主张,孰料有人据此提出“魏晋文学自觉说”。
中国古代文学自产生就自觉担负起传承道义的社会教化重任,“魏晋文学自觉说”乃至“文学的自觉”并不适宜用来描述中国古代文学的发展历程。
中国古代“文学”的内涵虽然有一个不断演变的过程,新的文体也不断涌现,但正如曹丕《典论·论文》所说:“文本同而末异。
”言志载道的传统是“本”,具体文体和文辞的变化是“末”,根本点并没有发生过动摇。
近代以前,中国文人的主要学习及研究对象是经史、诸子、辞赋等著作,但20世纪以来,中国受西方文学观念尤其是19世纪初法国女作家斯达尔夫人《论文学》的影响,认为文学的特质为抒情性、形象性与典型性。
照此标准,中国古代文学经典如六经、诸子就不是文学,至多含有文学因素,中国古代文学研究者更侧重符合西洋近代文学分类的诗歌、小说、戏曲等文学种类的研究,这种现象限制了学者研究的范围,破坏了中国文学历时三千年的完整性和包容道统价值的深刻性。
湖南省澧县一中、益阳市一中、桃源县一中2018届高三上学期三校联考历史试题时量:90分钟总分:100分一、选择题:本大题共24小题,每小题2分,共48分。
在每小题列出的四个选项中,只有一项是符合题目要求的。
请将答案填在答题卡上规定的地方。
1.《左传》记载:“(周)王夺郑伯(郑庄公)政,郑伯不朝。
秋,王以诸侯伐郑,郑伯击之……(周)王卒大败,祝(郑庄公的臣下)射王(周王)中肩。
”这一事件表明A.分封制逐步崩溃 B.周天子掌握了高度集中的政治权力C.西周等级分封制以宗法制为核心 D.西周形成中央垂直管理地方的制度2.1928年毛泽东说:“全国革命形势是向前发展的,则小块红色区域的长期存在,不但没有疑义,而且必然地要作为取得全围政权的许多力量中间的一个力量。
”这反映了当时毛泽东A.主张走农村包围城市的革命道路 B.坚持以城市为中心的革命模式C.重视无产阶级在战争中的领导作用 D.认为工人阶级是革命的主导力量3. 利玛窦在《中国札记》中说,虽然我们已经说过中国的政府形式是君主制,但……它还在一定程度上是贵族政体……如果没有与大臣磋商或考虑他们的意见,皇帝本人对国家大事就不能作出最后的决定……所有这类文件都必须先由大臣审阅然后呈交皇帝。
利玛窦认为中国明朝时A.君主制不是中国政府的主要形式B.内阁掌握着明朝的行政大权C.君主与内阁大臣拥有同等决策权D.内阁一定程度上制约着君权4.美国1787年宪法制定者之一的麦迪逊说:“在一个组织良好的联邦能够保证的许多利益中,再也没有比制止和控制狂热分裂的趋势值得更正确地加以发挥了。
”麦迪逊强调的是A.革除联邦体制的弊端 B.改变松散的邦联体制C.废除君主立宪制 D.建立三权分立的邦联体制5.《剑桥中国史》对中国某一历史事件作出如下评价“他们自封为儒家礼仪的卫道者,痛恨任何外国宗教或哲学的侵蚀,特别对中国教徒不举行传统仪式和不参加地方节日活动的行为感到忿恨”,这一事件应该是A.太平天国运动 B.义和团运动 C.戊戌变法 D.新文化运动6. 4月17日,美国参议院否决两党议员提出的控枪法案(该法案得到奥巴马的大力支持),大感失望的美国总统奥巴马怒斥这是“耻辱的一天”。
湖南省澧县一中2018届高三一轮复习第一次检测考试数学(理科)试题一、选择题(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.已知集合A={x∈N|x2+2x﹣3≤0},则集合A的真子集个数为()A. 3B. 4C. 31D. 32【答案】A【解析】【分析】求出集合,由此能求出集合A的真子集的个数.【详解】由题集合,∴集合A的真子集个数为.故选:A.【点睛】本题考查集合真子集的个数的求法,考查真子集等基础知识,考查运算求解能力,考查函数与方程思想,是基础题.2.命题:“,”的否定为A. ,B. ,C. ,D. ,【答案】C【解析】特称命题的否定是全称命题,特称命题“”的否定为全称命题:,故选C.3.若,则()A. B. C. D.【答案】B【解析】分析:先对两边取对数,求出的值,再根据对数的换底公式和运算性质计算,即可求出答案.详解:,,故选B.点睛:本题考查指对互化,对数的换底公式和运算性质,属于基础题.4.设,则等于()A. B. C. 1 D.【答案】D【解析】【分析】原积分化为根据定积分的计算法则计算即可【详解】由题故选:D.【点睛】本题考查了定积分的计算,关键是求出原函数,属于基础题,5.已知曲线f(x)=lnx+在点(1,f(1))处的切线的倾斜角为,则a的值为()A. 1B. ﹣4C. ﹣D. ﹣1【答案】D【解析】分析:求导,利用函数f(x)在x=1处的倾斜角为得f′(1)=﹣1,由此可求a的值.详解: 函数(x>0)的导数,∵函数f(x)在x=1处的倾斜角为∴f′(1)=﹣1,∴1+=﹣1,∴a=﹣1.故选:D.点睛:求曲线的切线方程是导数的重要应用之一,用导数求切线方程的关键在于求出切点及斜率,其求法为:设是曲线上的一点,则以的切点的切线方程为:.若曲线在点的切线平行于轴(即导数不存在)时,由切线定义知,切线方程为.6.已知偶函数f(x)在[0,+∞)单调递增,若f(2)=﹣2,则满足f(x﹣1)≥﹣2的x的取值范围是()A. (﹣∞,﹣1)∪(3,+∞)B. (﹣∞,﹣1]∪[3,+∞)C. [﹣1,﹣3]D. (﹣∞,﹣2]∪[2,+∞)【答案】B【解析】【分析】根据题意,结合函数的奇偶性与单调性分析可得若,即有,可得,解可得的取值范围,即可得答案.【详解】根据题意,偶函数在单调递增,且,可得,若,即有,可得,解可得:即的取值范围是;故选:B.【点睛】本题考查函数的单调性与奇偶性的综合应用,关键是利用函数的奇偶性与单调性转化原不等式.7.已知定义在R上的奇函数f(x)满足f(x+2)=﹣f(x),若f(﹣1)>﹣2,f(﹣7)=,则实数a 的取值范围为()A. B. (﹣2,1) C. D.【答案】C【解析】【分析】由是定义在上的奇函数,且满足,求出函数的周期,由此能求出实数的取值范围.【详解】∵是定义在上的奇函数,且满足,,函数的周期为4,则又,即,即解得故选C.【点睛】本题考查函数的周期性和奇偶性的应用,是基础题.解题时要认真审题,仔细解答.8.若函数f(x)=a x﹣a﹣x(a>0且a≠1)在R上为减函数,则函数y=log a(|x|﹣1)的图象可以是()A. B. C. D.【答案】C【解析】【分析】由函数在上为减函数,由此求得的范围,结合的解析式.再根据对数函数的图象特征,得出结论.【详解】由函数在上为减函数,故.函数是偶函数,定义域为函数的图象,时是把函数的图象向右平移1个单位得到的,故选:C.【点睛】本题主要考查函数的奇偶性和单调性的应用,对数函数的图象特征,函数图象的平移规律,属于中档题.9.已知函数f(x)是定义域为R的周期为3的奇函数,且当x∈(0,1.5)时f(x)=ln(x2﹣x+1),则方程f(x)= 0在区间[0,6]上的解的个数是()A. 5B. 7C. 9D. 11【答案】C【解析】【分析】要求方程在区间上的解的个数,根据函数是定义域为的周期为3的奇函数,且当时,可得一个周期内函数零点的个数,根据周期性进行分析不难得到结论.【详解】∵时,令,则,解得,又∵是定义域为的的奇函数,∴在区间上,,又∵函数是周期为3的周期函数则方程在区间的解有0,1,1.5,2,3,4,4.5,5,6共9个故选:D.【点睛】本题考查函数零点个数的判断,考查函数的奇偶性,周期性的应用,属中档题.10.点P在边长为1的正方形ABCD的边上运动,M是CD的中点,则当P沿A﹣B﹣C﹣M运动时,点P经过的路程x与△APM的面积y的函数y=f(x)的图象的形状大致是图中的()A. B. C. D.【答案】A【解析】【分析】随着点P的位置的不同,讨论三种情形即在AB上,在BC上,以及在CM上分别建立面积的函数,分段画出图象即可.【详解】根据题意得,分段函数图象分段画即可,故选:A.【点睛】本题主要考查了分段函数的图象,分段函数问题,应切实理解分段函数的含义,把握分段解决的策略.11.对于任意x∈R,函数f(x)满足f(2﹣x)=﹣f(x),且当x≥1时,函数f(x)=lnx,若a=f(2﹣0.3),b=f(log3π),c=f(﹣)则a,b,c大小关系是()A. b>a>cB. b>c>aC. c>a>bD. c>b>a【答案】A【解析】【分析】由判断函数关于点对称,根据时是单调增函数,判断在定义域上单调递增;再由自变量的大小判断函数值的大小.【详解】对于任意函数满足,∴函数关于点对称,当时,是单调增函数,∴在定义域上是单调增函数;由∴∴b>a>c.故选:A.【点睛】本题主要考查了与函数有关的命题真假判断问题,涉及函数的单调性与对称性问题,是中档题.12.设函数f'(x)是函数f(x)(x∈R)的导函数,已知f'(x)<f(x),且f'(x)=f'(4﹣x),f(4)=0,f(2)=1,则使得f(x)﹣2e x<0成立的x的取值范围是()A. (﹣2,+∞)B. (0,+∞)C. (1,+∞)D. (4,+∞)【答案】B【解析】【分析】构造函数,利用的导数判断函数的单调性,求出不等式的解集即可.【详解】设则即函数在上单调递减,因为,即导函数关于直线对称,所以函数是中心对称图形,且对称中心,由于,即函数过点,其关于点(的对称点(也在函数上,所以有,所以而不等式即即所以故使得不等式成立的的取值范围是故选:B.【点睛】本题考查了利用导数判断函数的单调性,并由函数的单调性和对称性解不等式的应用问题,属中档题.二、填空题(共4小题,每小题5分,共20分,将答案填在答题卡相应的位置上.)13.已知命题p:“存在x∈R,使”,若“非p”是假命题,则实数m的取值范围是_____.【答案】【解析】试题分析:非p即:“对任意x∈R,4x+2x+1+m0”,如果“非p”是假命题,即m-4x-2x+1,而令t=,y===,,所以m<0,故答案为。
考点:本题主要考查命题的概念,逻辑联结词。
点评:简单题,本题通过判断命题的真假,综合考查全称命题、特称命题的概念,对学生灵活运用数学知识解题的能力有较好的考查。
14.已知二次函数f(x)=ax2+2x+c(x∈R)的值域为[0,+∞),则的最小值为_____.【答案】4【解析】【分析】先判断是正数,且,把所求的式子变形使用基本不等式求最小值.【详解】由题意知,则当且仅当时取等号.∴的最小值为4.【点睛】】本题考查函数的值域及基本不等式的应用.属中档题.15.已知 m,n,α,β∈R,m<n,α<β,若α,β是函数f(x)=2(x﹣m)(x﹣n)﹣7的零点,则m,n,α,β四个数按从小到大的顺序是_____(用符号“<“连接起来).【答案】【解析】【分析】由题意可知是函数与函数的交点的横坐标,且是函数与轴的交点的横坐标,从而判断大小关系.【详解】∵是函数的零点,∴是函数与函数的交点的横坐标,且是函数与轴的交点的横坐标,,故由二次函数的图象可知,故答案为:α<m<n<β.【点睛】本题考查了函数的零点与函数图象的关系应用,属于基础题.16.已知函数f(x)=,如果函数f(x)恰有两个零点,那么实数m的取值范围为_____.【答案】【解析】【分析】根据与-2,0和4的大小关系逐一判断的零点个数即可得出结论.【详解】若,则在上无零点,在上有1个零点,不符合题意;若,则在上有1个零点,在上有1个零点,符合题意;若0≤m<4,则在(上有2个零点,在上有1个零点,不符合题意;若,则在上有2个零点0,在上无零点,符合题意;∴或.故答案为:.【点睛】本题考查了函数零点的个数判断,属于中档题.三、解答题(本大题共6小题,共70分,解答应写出文字说明,证明过程或演算步骤.)17.设函数的定义域为集合,函数的值域为集合. (1)求的值;(2)若,求实数a的取值范围.【答案】(1)0;(2)【解析】【分析】(1)根据函数的奇偶性的定义和对数的运算性质可得函数为奇函数,根据奇函数的性质可得.(2)由对数式的真数大于0求解集合,求出二次函数在上的值域,即集合,根据利用两集合端点值间的关系求解实数的范围;【详解】(1),由得函数的定义域为又为奇函数=0(2)函数=在上由或解得实数的取值范围为【点睛】本题考查了函数的定义域及其求法,考查了函数的值域,解决含有参数的集合关系问题,关键是两集合端点值的大小比较,属中档题.18.已知m>0,p:x2﹣2x﹣8≤0,q:2﹣m≤x≤2+m.(1)若p是q的充分不必要条件,求实数m的取值范围;(2)若m=5,“p∨q”为真命题,“p∧q”为假命题,求实数x的取值范围.【答案】(1);(2)【解析】【分析】(1)根据充分不必要条件的定义进行求解即可.(2)根据复合命题真假关系,进行求解即可.【详解】(1)由x2﹣2x﹣8≤0得﹣2≤x≤4,即p:﹣2≤x≤4,记命题p的解集为A=[﹣2,4],p是q的充分不必要条件,∴A⊊B,∴,解得:m≥4.(2)∵“p∨q”为真命题,“p∧q”为假命题,∴命题p与q一真一假,①若p真q假,则,无解,②若p假q真,则,解得:﹣3≤x<﹣2或4<x≤7.综上得:﹣3≤x<﹣2或4<x≤7.【点睛】本题主要考查充分条件和必要条件的应用以及复合命题真假关系的判断,利用定义法是解决本题的关键.19.已知函数满足:①;②.(1)求函数f(x)的解析式;(2)若对任意的实数,都有成立,求实数的取值范围.【答案】(1);(2)【解析】【分析】(1)把条件①;②.代入到中求出即可;(2)不等式恒成立,设则分,两种情况讨论,只需即可.【详解】(1)……………①又∵,即……②将①式代入②式得,又,.(2)由(1)得设①当,即时,,故只需,解得,与不合,舍去②当,即时,,故只需,解得,又,故综上,的取值范围为【点睛】本题考查学生利用待定系数法求函数解析式的能力,理解函数最值及几何意义的能力,理解不等式恒成立的能力,属中档题.20.已知函数f(x),k≠0,k∈R.(1)讨论函数f(x)的奇偶性,并说明理由;(2)已知f(x)在(﹣∞,0]上单调递减,求实数k的取值范围.【答案】(1)见解析;(2)【解析】【分析】(1)根据题意,由函数的解析式分析可得的表达式,讨论的范围,分析与的关系,即可得结论;(2)设,分析可得的范围,则对的范围进行分情况讨论,讨论函数的单调性,求出的范围,综合即可得答案.【详解】(1)根据题意,函数f(x),其定义域为R,f(-x)=,当k=1时,有f(x)=f(﹣x),函数f(x)为偶函数,当k≠1时,f(x)≠f(﹣x)且f(﹣x)≠﹣f(x),函数f(x)为非奇非偶函数;(2)设t=2x,x∈(﹣∞,0],则有0<t≤1,则y=,当k<0时,函数f(x)在R上递减,符合题意;当k>0时,t∈(0,)上时,函数y=递减,t∈(,+∞)上时,函数y=递增,若已知f(x)在(﹣∞,0]上单调递减,必有≥1,解可得k≥1,综合可得:t的取值范围是(﹣∞,0)∪[1,+∞).【点睛】本题考查函数的奇偶性、单调性的性质以及应用,分析函数的奇偶性时注意讨论k的取值.属中档题.21.已知函数(a∈R).(1)若曲线y=f(x)在x=e处切线的斜率为﹣1,求此切线方程;(2)若f(x)有两个极值点x1,x2,求a的取值范围,并证明:x1x2>x1+x2.【答案】(1);(2)见解析【解析】【分析】(1)求出函数的导数,求出的值以及切点坐标,求出切线方程即可;(2)求出函数的导数,得,令,根据函数的单调性求出的范围,从而证明结论.【详解】(1)∵f'(x)=lnx﹣ax,∴f'(e)=1﹣ae=﹣1,解得,∴f(e)=﹣e,故切点为(e,﹣e),所以曲线y=f(x)在x=e处的切线方程为x+y=0.(2)证明:f'(x)=lnx﹣ax,令f'(x)=0,得.令,则,且当0<x<1时,g(x)<0;当x=1时,g(x)=0;x>1时,g(x)>0.令g'(x)=0,得x=e,且当0<x<e时,g'(x)>0;当x>e时,g'(x)<0.故g(x)在(0,e)递增,在(e,+∞)递减,所以.所以当a<0时,f(x)有一个极值点;时,f(x)有两个极值点;当时,f(x)没有极值点.综上,a的取值范围是.因为x1,x2是f(x)的两个极值点,所以即…①不妨设x1<x2,则1<x1<e,x2>e,因为g(x)在(e,+∞)递减,且x1+x2>x2,所以,即…②.由①可得lnx1+lnx2=a (x1+x2),即,由①,②得,所以【点睛】本题考查了函数的单调性问题,考查导数的应用以及不等式的证明,考查转化思想,属难题..22.已知函数(1)解不等式f(x)≥-2;(2)对任意x∈[a,+∞),都有f(x)≤x-a成立,求实数a的取值范围.【答案】(1);(2)【解析】【分析】(1)通过对与三类讨论,去掉绝对值符号,解相应的一次不等式,最后取其并集即可;(2)在坐标系中,作出的图象,对任意,都有成立,分与讨论,即可求得实数的取值范围.【详解】(1)f(x)=|x+2|-2|x-1|≥-2.当x≤-2时,x-4≥-2,即x≥2,故x∈⌀;当-2<x<1时,3x≥-2,即x≥-,故-x<1;当x≥1时,-x+4≥-2,即x≤6,故1≤x≤6;综上,不等式f(x)≥-2的解集为(2)f(x)=函数f(x)的图象如图所示.令y=x-a,当直线y=x-a过点(1,3)时,-a=2.故当-a≥2,即a≤-2时,即往上平移直线y=x-a,都有f(x)≤x-a.往下平移直线y=x-a时,联立解得x=2+,当a≥2+,即a≥4时,对任意x∈[a,+∞),-x+4≤x-a.综上可知,a的取值范围为a≤-2或a≥4.【点睛】本题考查绝对值不等式的解法,考查分段函数的性质及应用,考查等价转化思想与作图分析能力,突出恒成立问题的考查,属于难题.。