贵阳市第一中学2014届高考适应性月考卷
贵州省贵阳市贵阳一中2014届高三数学第六次适应性月考试题 理(含解析)
某某省某某市某某一中2014届高三数学第六次适应性月考试题 理(含解析)一、选择题:本大题共12小题,每小题5分,共60分.在每个小题给出的四个选项中,只有一项是符合题目要求的.1.在复平面内,复数z 满足(3-4i )z=|4+3i|(i 为虚数单位),则z 的虚部为A .-4B .45-C .4D .452.设集合2{(3)30}A x x a x a =-++=,2{540}B x x x =-+=,集合A B 中所有元素之和为8,则实数a 的取值集合为A .{0}B .{03},C .{13,4},D .{013,4},,3.阅读如图所示的程序框图,运行相应的程序,输出的结果i=A . 3B .4 C.5 D . 64.函数3()cos()226y x x ππ=++-的最大值为 ( )A .213B .413C .413D .13 5.一个四棱锥的侧棱长都相等,底面是正方形,其正(主)视图如右图所示,则该四棱锥的侧面积和体积分别是A .45,8,B .845,3C .84(51),3+D .8,86.已知双曲线22221(0,0)x y a b a b-=>>的两条渐近线与抛物线y 2=2 px (p >0)的准线分别交于A ,B 两点,O 为坐标原点.若双曲线的离心率为2,△AOB 的面积为3,则p= A .2B .32C .1D .37.已知函数3221()13f x x ax b x =+++,若a 是从1,2,3三个数中任取的一个数,b 是从0,1,2三个数中任取的一个数,则该函数有两个极值点的概率为( ) A.79B.13C.59D.238.在平行四边形ABCD 中,AD=1,∠BAD= 60o,E 为CD 的中点.若1=⋅BE AC ,则AB 的长为 A .14B .12C .1D .29.在数列{}n a 中,若对任意的n 均有12n n n a a a ++++为定值(*n N ∈),且79982,3,4a a a ===,则数列{}n a 的前100项的和100S =( )A .132B .299C .68D .9910.设关于x ,y 的不等式组⎪⎩⎪⎨⎧>-<+>+-003013m y m x y x ,表示的平面区域内存在点P (x 0,y 0),满足0x -30y =3,求得m 的取值X 围是A .)31,(--∞B .1,3⎛⎫-∞ ⎪⎝⎭C .)21,(--∞D .)21,(-∞2x 1()n x x-n()|2||4|f x x x =++-11.函数f (x )的定义域为D ,若对于任意x 1,x 2∈D ,当12x x <时,都有f (x 1)≤ f(x 2),则称函数f (x )在D 上为非减函数.设函数f (x )在[0,1]上为非减函数,且满足以下三个条件:①f (0)=0;②1()32x f f x ⎛⎫= ⎪⎝⎭;③f (l -x )=1-f (x ),则1138f f ⎛⎫⎛⎫+ ⎪ ⎪⎝⎭⎝⎭等于 A .34B .45C .1D .2312.已知函数f (x )=e x,g (x )=ln122x +的图象分别与直线y=m 交于A ,B 两点,则|AB|的最小值为 A .2B .2 + ln 2C .e 212+D .2e -ln 32二.填空题:本大题共4小题,每小题5分,共20分。
贵州省贵阳市2014年高三适应性监测考试(一)理科综合(生物部分)
贵州省贵阳市2014年高三适应性监测考试(一)理科综合(生物部分)学校:___________姓名:___________班级:___________考号:___________一、单选题(本大题共6小题,共36.0分)1.下列关于动物细胞生物膜的叙述,错误的是A.细胞膜主要由脂质和蛋白质组成B.兴奋时N a+进入神经细胞不消耗ATPC.溶酶体清除进入细胞的病原体与生物膜的选择透过性有关D.细菌再次刺激引发记忆细胞增殖分化体现了细胞膜信息交流功能【答案】C【解析】本题主要考查动物细胞生物膜的组成和功能,意在考查考生在识记和理解方面的能力。
难度中等。
蛋白质和脂质中的磷脂是组成细胞膜的主要成分;钠离子内流进入神经细胞的方式属于协助扩散,这一过程不消耗ATP;溶酶体能吞噬进入细胞的病原体,这一过程与生物膜的流动性有关,而与生物膜的选择透过性无关:记忆细胞通过细胞膜表面的糖蛋白特异性识别抗原,当同种抗原再次进入人体时,记忆细胞能迅速增殖分化,体现了细胞膜的信息交流功能。
2.下列关于细胞生命历程的叙述,错误的是A.细胞的正常基因突变成原癌基因是细胞癌变的原因B.生物体通过细胞凋亡清除体内被病原体感染的细胞C.细胞代谢速率减慢是细胞衰老的主要特征之一D.脑细胞缺氧而死亡属于细胞的坏死【答案】A【解析】本题考查细胞的癌变、凋亡、衰老及坏死,意在考查考生在理解应用方面的能力。
难度较小。
原癌基因是细胞内的正常基因,原癌基因和抑癌基因发生突变才会发生细胞癌变;生物体内被病原体感染细胞的清除属于细胞凋亡;衰老细胞的代谢速率减慢;脑细胞缺氧死亡是在不利因素的影响下发生的,属于细胞坏死。
3.人类对遗传物质本质的探索经历了漫长的过程,下列叙述错误的是A.孟德尔发现遗传因子但并未证实其化学本质B.沃森和克里克首先利用显微镜观察到DNA双螺旋结构C.噬菌体侵染细菌实验比肺炎双球菌体外转化实验更具说服力D.烟草花叶病毒感染烟草实验证明烟草花叶病毒的遗传物质是RNA【答案】B【解析】本题考查人类对遗传物质本质的探索过程,意在考查考生在识记和理解方面的能力。
贵州省贵阳市第一中学2014届高三第五次月考英语试卷
本试卷分第Ⅰ卷(选择题)和第II卷(非选择题)两部分, 满分120分。
考试用时100分钟。
第Ⅰ卷(选择题共70分)注意事项:1.答题前,考生务必用黑色碳素笔将自己的姓名、准考证号、考场号、座位号在答题卡填写清楚,并请认真填涂准考证号。
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,用橡皮擦擦干净后,再选涂其他答案标号。
在试题卷上作答无效。
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,共30分)阅读下列短文,从每题所给的四个选项(A、B、C、D)中,选出最佳选项,并在答题卡上将该项涂黑。
AReading a bedtime story to his son one evening, Carl Honore noticed that he was reading very quickly. He was thinking about all the things he had to do later: check email, make phone calls, book a flight, prepare things for work, and so on. He suddenly realized that he had become caught in the trap of speed, rushing here and there, getting up early in the morning and burning the midnight oil at night. The more he thought about the fast pace of modern life, the worse he felt. He had ended up speed-reading to his son because he was so busy.As a journalist, he was curious about the phenomenon he was experiencing, so he did some research. He found that Americans now spend forty percent less time with their children than they did in the 1960s. Honore decided to write a book about the subject called In Praise of Slow. He wanted to let people know about the benefits of slowing down. He does not ask readers to throw out their TVs and become farmers. Instead, he describes the harmful effects of our love of speed in our lives, such as stress and health problems, he also explains the philosophy of the Slow Movement. A growing number of people around the world are choosing to take things easy, to do less, in order to lead a fuller life. There is even an International Day of Slowness on June 21. Cark Honore strongly believes that if people would only slow down, they would enjoy life so much more.1.According to the passage, if American parents in the 1960s spent 6 hours with their kids,American parents now spend ___________ hours with their kids.A. 2B. more than 6C. 2.4D. 3.62.If John burned the midnight oil at night, he was ___________.A.at playB. at workC. at leisureD. at rest3.According to the passage, which statement about Carl Honore is NOT true?A.He was a news reporter.B.He read a bedtime story to his son.C.He suffered from stress and health problems.D.He was the writher of In Praise of Slow.BThe history of civil engineering(土木工程) is a very important story in the development ofcivilization. Civil engineers began practicing their profession four thousand years ago. Every great civilization, Egyptians, Minoan, and Romans, for instance, had the civil engineers. What is left of their work can prove that they were intelligent. These engineers of the ancient world built entire cities. They designed systems of pipes which supplied fresh water. They built water pipelines for farmlands as well as bridges of great length. The ruins of the structures tell us much about the work of early engineers.Consider the pyramids of Egypt. They are evidence that some of the earliest engineers had great scientific ability. They are also proof that those engineers could make lasting works of art and design. Although they lived thousands of years ago, the Egyptian engineers used very exact measurements. The base of the largest pyramid, the great pyramid near Gizeh, comes to within inches of being a perfect square. The pyramid is perfectly placed. Each corner points toward the exact directions of north, south, east and west. The inside of the pyramid is filled with complicated passages and tunnels. These lead to different rooms inside the pyramid.The engineers of Egypt did more than designing the pyramids. They also set up methods of moving and shaping the building materials. These were very heavy. They had to be brought from miles away and sometimes lifted several hundred feet. During the work, the engineers commanded thousands of workers. The pyramids remain as evidence of the abilities of the ancient Egyptian engineers.4.Four thousand years ago, ___________.A.people began practicing civil engineering in order to become professional engineersB.civil engineers began putting their knowledge into practiceC.there appeared civil engineers by professionD.civil engineers got more involved in their profession5.The civil engineers of the ancient time were intelligent enough to build entire cities,including ___________.A.systems of pipes, bridges and pyramidsB.water supply systems, bridges and structuresC.pipelines systems, bridges and farmlandsD.water supply systems, bridges and pipelines for cultivation6.The base of the Gizeh Pyramid is cited by the author as a perfect example of___________.A.exact measurement adopted by the designersB.great scientific ability of the builderssting work of art and designD. a very large square7.Which of the following about the pyramids can be learned from the passage?A.Building materials were processed to meet certain requirements for their size andshape.B.Building materials were broken into smaller pieces of all sizes.C.There were no requirements for the size and shape of building materials.D.Egyptian engineers were not concerned with the size and shape of the buildingmaterials.CScientists have found that bee venom(毒液) can be used to develop new treatments ofrheumatoid arthritis(类风湿性关节炎).They have shown the venom contains molecules (分子) that cause an increase in natural hormones(荷尔蒙) in the body. The research has raised hopes that the new treatments can help bring relief from the pain of arthritis and even prevent it from developing in the first place. The findings help to explain some stories of how patients who receive a bee sting treatment report improvement in their condition.Dr Suzana Beatriz Verissimo de Mello, a professor who led the research at the University of Sao Paulo, in Brazil, said bee venom caused increased levels of the hormones which defend against the disease.She said, “Bee venom is a complex mixture of materials that are known to cause protective responses in humans, and it has been used to treat rheumatoid arthritis for centuries. Our data shows that bee venom prevents the development of arthritis in the rabbits that are tested in the experiments.”Bee Sting Treatment is often used as a form of alternative medicine in which patients endure hundreds of stings by bees in the hope of getting better. The new research is the first time a scientific explanation has been shown for the effect.Professor Alan Silman, medical director of Arthritis Research UK, warned that it might be some time before any practical applications could be found.He said, “Knowing that when some people suffering arthritis are stung by bees their pain goes away for a short while is one thing; actually turning these early laboratory findings into apractical application is quite another.”8.What would be the best title for the passage?A.New treatments of rheumatoid arthritisB.New findings on the effect of bee venomC.New research about natural hormonesD.New applications of Bee Venom Treatment9.Bee venom can NOT be used to ___________.A.relieve the pain of arthritis for some timeB.get rid of the pain of bee sting immediatelyC.stop arthritis from growing in the first placeD.increase levels of natural hormones in the body10.W hat does the underlined word “applications” mean in this passage?A. A formal written request for a job, etcB. A piece of softwareC.The use of a rule or piece of knowledge in a particular situationD.Hard work and concentration on what you are doing11.It can be inferred from the passage that ____________.A.the reports of recovery from arthritis are made up by patientsB.the materials of bee venom are made up of natural hormonesC.the effect of bee venom on arthritis was studied centuries agoD.Bee Venom Treatment can be painful for the arthritis patientsDThe job of repairing the carpet was done and it was time for a last cigarette. Eddie began tapping the pockets of his overalls, looking for the new packet of Marlboro he had bought that morning. It was not there.It was as he swung around to look in his toolbox for the cigarettes that Eddie saw the lump (鼓包). Right in the middle of the brand new bright red carpet, there was a lump, a lump the size of a packet of cigarettes.“I’ve done it again!”said Eddie angrily. “I’ve left the cigarettes under the carpet!”He had done this once before, and taking up and repairing the carpet had taken him two hours. Eddie was determined that he was not going to spend another two hours in this house. He decided to get rid of the lump in another way. It would mean wasting a good packet of cigarettes, nearly full, but anything was better than taking up the whole carpet and fitting it again. He turned to his toolbox for a large hammer.Eddie didn’t want to damage the carpet itself, so he took a block of wood and placed it on top of the lump. Then he began to beat the block of wood as hard as he could. He kept beating, hoping Mrs. Vanbrugh wouldn’t hear the noise and come to see what he was doing. It would be difficult to explain why he was ham mering the middle of her beautiful new carpet… The lump was beginning to flatten out.After three or four minutes, the job was finally finished. Eddie picked up his tools, and began to walk out to his car. Mrs. Vanbrugh accompanied him. She seemed a little worried about something.“Young man, while you were working today, you didn’t by any chance see any sig n of Armand, did you? Armand is my bird. I let him out of his cage, you see, this morning, and he’s disappeared. He likes to walk around the house, and he usually just comes back to his cage after an hour or so and gets right in. O nly today he didn’t come back. He’s never done such a thing before, it’s most peculiar…”“No, madam, I haven’t seen him anywhere,” said Eddie, as he reached to start the car.And he saw his packet of Marlboro cigarettes on the panel, where he had left it at lunchtime…And he remembered the lump in the carpet…12.What did Eddie want to do when he had finished repairing the carpet?A. To have a cigarette.B. To hammer the carpet flat.C. To put back his tools.D. To start work in the dining room.13.Why didn’t Eddie take out the thing under the carpet?A.It was impossible for him to take up the carpet once it was fitted.B.He didn’t need the cigarettes because he had some more in t he car.C.It would take too long to take up the carpet and refit it.D.He intended to come back and remove the lump the next day.14.What did Eddie do with the hammer?A. He drove nails into the lump.B. He fixed his toolbox.C. He refitted the carpet.D. He flattened the lump.15.Mrs. Vanbrugh worried that ________.A. her pet was nowhere to be foundB. fitting the carpet would be expensiveC. Eddie would smoke in the houseD. Eddie hadn’t done a proper job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,并在答题卡上将该项涂黑。
2014年贵州省普通高等学校招生适应性考试
2014年贵州省普通高等学校招生适应性考试英语本试卷分第I卷(选择题)和第II卷(非选择题)。
第i卷第1页至第8页,第II卷第9页至第10页。
考试结束,将本试卷和答题卡一并交回。
汪蒽事项:1、答题前,考生务必将自己的姓名、准考证号填写在答题卡上,认真核对条形码上的姓名、准考证号,并将条形码粘贴在答题卡的指定位置上。
2、选择题答案使用2B铅笔填涂,如需改动,用橡皮擦干净后,再选涂其它答案标号:非选择题答案使用0.5毫米的黑色中性(签字)笔或碳素笔书写,字体工整、笔迹清楚。
3、请按照题号在各题的答题区域(黑色线框)内作答,超出答题区域书写的答案无效。
4、保持卡面清洁,不折叠,不破损第I卷第一部分:阅读理解(共两节,满分40分1第一节(共1 5小题;每小题2分,满分30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,并在答题卡上将该项涂黑。
AMy move to Los Angeles in August 2012 represented not only a great professional challenge —to work with only two senior bankers and cover all California financial institutions—but alsoa personaI opportunlty;a chance to broaden my views.I grew up in Paris and lived in the capital for 21 years before moving to New Y ork;I definitely was a city girl! Los Angeles,however demanded that I adapt to a whole different world,where sport rather than opera rhythms the seasonI knew that my first year in the Los Angeles office would be extremely bus y.In fact I worked 90 hours per week that year.To keep my health and a good spirit,I was determined to try and leam a sport that had always fascinated me:surfing.Thus I bought a brand new longboard and staI.ted the experience on a sunny Saturday afternoon under the merciless close examination of the local surfers,all males,who did not hide their disrespect for my pale skin and weak arms s0 typical of an investment_bankerl;Surfing seemed at first an impossible task:my board always mysteriously rebounded on my head,while the waves would break exactly where 1 was paddling(划).At work.“here was an explosion of lighter:why, a twenty-six year old Parisian,surfing?This had to be French humor!I managed to practice every weekend.Last summer,I finally stood up on my board and rode the wave to the beach.It was one of the most exciting moments of my life and although I still surf regularly,nothing matches my first wave nor the pride that I felt.Because I received little help and encouragement but I made it,I value this experience which was actually a full confidence builder.1.What would be the best title for the text?A.Surfing:a chance to build self-confidenceB.Surfing:an opportunity to be French humorC.Paddling on a longboardD.Riding the wave to the beach2·The author felt_ _when the board repeatedly hit her.A·excited B. discouraged C.scared D.proud3.It can be inferred from Para.2 that an investment banker .A.enjoys all kinds of sports B.is good at surfingC.goes in for outdoor activities D. seldom attends outdoor sports4.Why was the author successful in surfing in the end?A.Her endless practice helped her.B.Her workmates often encouraged her.C.She was guided in a right way.D.She was helped by some senior bankersBWhat do you remember about your childhood? I have good memories of exploring the fields near my house and riding my bike around the park.Today,children don’t spend enough time in the flesh air.Many of them fix their eyes on a screen either on a computer,or a TV——they seem to be living in a virtual world.They have lost touch with nature.Now 400 organizations in the UK are encouraging children to have some“wild time”.They want kids to exchange a,t least 3 0 minutes of watching TV or playing computer games for time playing outside.The simple pleasures of exploring and discovering nature help children to 1eam and keep fit too.Andy Simpson,who is part of the campaign,says:“An extra 30 minutes of wild time every day for all under 1 2一year-olds in me UK would be the equivalent(同等)of just three months of their childhood spent outdoors.”Even if the kids live in a city,they can go on adventures in the garden or the park.However,children often need a helping hand from mum and dad.They need to be shown what to do and where to go.So despite the complex world that young people grow up in now,it seems that going back to basics and experiencing “ nature’s playground”is what modem children need.Andy Simpson adds:“We want parents to see what this magical wonder product does for their kids,development,independence and creativity,by giving wild time a go”.David Bond from Project Wild Thing says“we need to make more space for wild time in children’S daily routine,freeing this generation of kids to have the sort of experiences that many of us took for granted”.5.What does the author think about the present kids?A.They depend on their parents too much.B.They don’t get close to nature.C.They spend too much time playing outside.D.They’re eager to play with their parents.6.In the last paragraph“wonder product”probably refers to_____.A. nature’s playground B.helping hand C.daily routine plex world7.What suggestion does David Bond give us?A.Prevent kids from playing computer games.B.Help children master basic skills.C.Teach kids how to face difficulties.D. Let children have more wild time.8.what do we know about the author7 .A. He disliked his childhood full of study and exams.B.He often went to school by riding on a bicycle.C.He had a happy childhood by exploring the outdoors.D.He showed a great interest in watching TV.CMost people recognize that there are many benefits of learning a foreign language.Sclentltic studies have even shown that learning a new language helps to keep memories sharp and naturally improves overall brain function.But do you know that you can learn a new language in as little as 1 0 days?The PimsleurApproach to learning new languages helps users pick up new languages quickly.Even the FBI has bought the Pimsleur Approach.Dr.Pimsleur devoted his life and career to learning languages and recognized that effective communication in any language depends on mastery of a relatively limited number of words.And,trying to learn too many words at first can actually slow the language retention(保留)process.However,once this“core(核心)vocabulary”is mastered and used constantly,it speeds up language learning.The Pimsleur Approach aims each lesson at teaching you to use the core vocabulary of the language,So you can speak the most in the least amount of time.It’S not how many words you know,but rather,which words you can use.Each Pimsleur Approach lesson has been scientifically planned to rapidly lock language material into your brain after just one listen.Just sit back and listen while the audio does the work for you.The Pimsleur Approach ProgramsThe entire Pimsleur Approach is what language learning should be:quick,fun and easy.Y ou’ll absorb your new language effortlessly without any reading,writing or computer use.Limited availability special offerThe company is currently offering new customers a special offer of—ha—lf off the language of your choice including free shipping.The programs which normally cost$1 9.95 are now available for just$9.95.9.According to Dr.Pimsleur,one can learn language by________.A.mastering a number of rules B.reciting many new wordsC.reading and translating D. listening and speaking10.For a young couple joining me Pimsleur language programs now,theycan save____ in total.A.$9.95 B.$10 C.$19.95.,D.$2011.What is the purpose of this text?A.To give some practical advice.B.To introduce a research report.C.To increase the programs’customers.D.To share a learning experience.DSome colors that people see late at night could cause signs of the condition mental health experts call clinical depression(临床抑郁症、).That was the finding of a study that builds on earlier study findings.They show that individuals who live or work in low levels of light overnight can develop clinical depression.Doctors use the words clinical depression to describe severe form of depression.Signs may include loss of interest or pleasure in most activities,low energy levels and thoughts of death.In the new study,American investigators designed an experiment that exposed hamsters(仓鼠)to different colors.The researchers chose hamsters because they are nocturnal,which meansthey sleep during the day and are active at night.The animals were separated into 4 groups.One group of hamsters was kept in the dark during their nighttime period.Another group was placed in blue light,a third group slept in white light.While a fourth was put in red light.After four weeks,the researchers noted how much sugary water the hamsters drank.They found that the more depressed animals drank the 1east amount of water.Randy Nelson,at Ohio State University,says animals that slept in blue and white light appeared to be the most depressed.“What we saw is that these animals didn’t show any sleep interruptions at all but they did have messed up circadian clock(生物钟)genes and they did show depressive evidence but if they were in the dim red light,they did not.’’He says there’S a lot of blue in white light.This explains why the blue light and white light hamsters appear to be more depressed than the hamsters see red 1ight or darkness.12.From the text we know that____made the hamsters feel depressed.A.the amount of the water B.the color of the lightC.the loss of pleasure D.the level of energy13.What was the purpose of the experiment on hamsters?A.To show how well they slept.B.To see how much sugary water they drankC.To explain why they liked dark colors.DTo find out what caused the depression on them.14.The author explains the clinical depression by_________.A.reporting an experiment process B.presenting research dataC.setting down general rules D.giving his own experience15.Where can we probably find the text?A.In a science magazine.B.In a physics textbook.C.In a tourist guidebook.D.In an official announcement.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。
贵州省贵阳市第一中学2014届高三第五次月考物理试题
14.如图所示,为甲、乙两物体在水平面上运动的轨迹图,M 、N 是两轨迹的交点. 由图可知,以下说法正确的是A .甲物体所受的合外力一定不为零B .乙物体所受的合外力一定不为零C .从M 到N ,两物体的平均速度一定相等D .两物体一定在N 点相遇15. 在水平恒力F 作用下,物块A 和斜面一起沿水平面向右做匀加速运动,如图所示.若物块与斜面保持相对静止,不计空气阻力,物块A 受到斜面对它的作用力的方向可能是 A .水平向右 B .斜向右上方 C .斜向右下方 D .上述三种方向都不可能16.如图所示,绕太阳运动的行星在椭圆形轨道上运动,图中A 、B 两点分别是该行星的近日点和远日点.忽略其它星体对该行星的作用.关于该行星从B 到A 的运动过程,下列叙述正确的是A .太阳对行星的引力增大,行星的加速度大小不变B .引力对行星做正功,行星机械能增大C .引力对行星做正功,行星机械能减小D .行星的速率增大,机械能不变17.如图所示,在xoy 平面空间存在着垂直于纸面的足够大匀强磁场.磁感应强度为B .一个质量为m 、电量为q ,重力可以忽略的带正电粒子,从O 点以某一初速度垂直磁场入射.它的运动轨迹与x 、y 轴交于A 、B 两点,A 、B 两点的坐标分别为(-a ,0)和(0,b ).已知运动过程中粒子先通过A 点.由此可知,该粒子的初速度大小为.A . mb a qB v 222+=B . mba qB v 2+=C . mb a qB v 222+=D . mba qB v 2+=18.真空中用两根绝缘细线分别系住a 、b 两个带电小球,并悬挂在O 点,如图所示.当两个小球静止时,它们恰好处在同一个水平面上,且α<β.现将两细线同时剪断,在落地前A . 两球均做匀加速直线运动B . 同一段时间内,a 球水平位移大于b 球水平位移C . 任意时刻,两球都处在同一水平面上D . 任意时刻,a 球速度大于b 球速度19.理想化模型是简化物理研究的重要手段,它抓住问题的主要因素,忽略了次要因素,促进了物理学的发展,下列理想化模型建立的表述正确的是 A .质点作为理想化模型忽略了物体的质量 B .点电荷作为理想化模型忽略了带电物体的大小 C .理想电压表忽略了电压表的内阻 D .理想变压器没有能量损失20.某轻轨车站的设计方案如图所示,与站台相连的轨道有一个小的坡度,设站台与水平轨道的高度差为h ,列车的总质量为m ,关于这个设计方案的优点,下列描述正确的是xA .进站过程中,重力沿斜坡的分力是阻力,有利于制动B .出站过程中,重力沿斜坡的分力是动力,有利于启动C .进站过程中,有mgh 的动能转化为重力势能D .在一次进站、停靠、出站的整个过程中,节约的能量是2mgh21. 如图,一面积为S 的单匝矩形线圈处于一个周期性变化的匀强磁场中,磁感应强度的变化规律为: t ωsin B B 0=.下列说法正确的是A .线框中能够产生方向不断变化的交变电流B .在ωπ2=t 时刻,线框中感应电流将达到最大值C . 在磁场变化的任意时间内,线圈都有扩大面积的趋势D . 若增大磁场变化的频率,则线框中感应电流的频率也将同倍增加,但有效值不变22.(9分)象打点计时器一样,光电计时器也是一种研究物体运动情况的常用仪器,其结构如图甲所示,a 、b 分别是光电门的激光发射和接收装置,当有物体从a 、b 间通过时,光电计时器就可以显示物体的挡光时间.现利用图乙所示装置测量滑块和1m 长的木板间的动摩擦因数,图中MN 是水平桌面,Q 是木板与桌面的接触点,1和2是固定在木板适当位置的两个光电门,与之连接的两个光电计时器没有画出.此外在木板顶端的P 点还悬挂着一个铅锤,让滑块从长木板的顶端滑下,光电门1、2各自连接的计时器显示的挡光时间分别为5.0×10-2s 和2.0×10-2s .用游标卡尺测量小滑块的宽度d ,卡尺示数如图丙所示. (1)读出滑块的宽度d =___________cm .(2)滑块通过光电门1的速度v 1 =__________m/s ,滑块通过光电门2的速度v 2=__________m/s .(速度的计算结果均取两位有效数字)(3)若已知当地的重力加速度为g ,v 1、v 2,两个光电门之间的距离L ,重锤在桌面上所指的点与Q 点的距离s,为完成动摩擦因数的测量,还需要对一个物理量(用x 表示)进行测量,即只需用刻度尺测量出____________________ (说明该物理量x 的物理意义). (4)用(3)中各量求解动摩擦因数的表达式μ=__________________(用字母表示).h23.(6分)在做测量电源电动势E 和内阻r 的实验时,提供的器材是:待测电源一个,内阻为R V 的电压表一个(量程略大于电源的电动势),电阻箱一个,开关一个,导线若干. 现将电压表和电阻箱并联接入电路,为了测量得更加准确,多次改变电阻箱的电阻R ,读出电压表的相应示数U ,以1U为纵坐标,画出1U与R 的某种关系图象(该图象为一直线)如图所示. 由图象可得到直线在纵轴上的截距为m ,直线的斜率为k,试根据以上信息①在虚线框内画出实验电路图. 根据你设计的实验电路,在上图横轴箭头处应标的物理量是 (填“R ”或“R1”) ②写出E 、r 的表达式(用m 、k 和Rv 表示),E = ,r= .24.(14分)如图所示,真空中存在着强度E = 2.5×102N/C , 方向竖直向上的匀强电场,在电场内一长为L=0.5 m 的绝缘细线,一端固定在O 点,另一端拴着质量m=0.5 kg 、电荷量q = 4×10-2C 的小球. 现将细线拉直到水平位置,使小球由静止释放,当小球运动到最高点时细线受到的拉力恰好达到它能承受的最大值而断裂. 取g=10 m/s 2. 求: (1)细线能承受的最大拉力的大小;(2)当细线断裂后,小球继续运动到与O 点水平方向距离为L 时,小球距O 点的高度.25.(18分)质量为2 .0 kg 、长为1.0 m 、高为0.50m 的木箱M 放在水平地面上,其上表面是光滑的,下表面与水平地面间的动摩擦因数是0.25. 在木箱上表面的右边沿放一个质量为1.2 kg 的小金属块m (可视为质点).如图所示,用一个大小为9.0 N 的水平恒力F 使木箱向右运动,经过3 s 撤去恒力F ,木箱最后停在水平地面上.求木箱停止后,小金属块的落地点距木箱左边沿的水平距离(不计空气阻力,g=10 m/s 2)33.(1) (5分) 关于气体发生的热现象,下列说法中正确的是 (填正确答案标号. 选对1个得2分,选对2个得4分,选对3个得5分;每选错1个扣3分,最低得分为0分).A.热可以从低温气体传给高温气体B.在压缩气体的过程中,由于外力对气体做正功,因而气体内能增大 C.压缩气体要用力,是因为气体分子之间存在斥力的缘故 D.气体的体积一定大于所有气体分子体积之和 E.布朗运动就是液体分子的无规则的运动(2)(10分)两端开口、内表面光滑的U 形管处于竖直平面内,如图所示,质量均为m=10kg 的 活塞A 、B 在外力作用下静止于左右管中同一高度A 处,将管内空气封闭,此时管内外空气的压强均为50100.1P ⨯=Pa .左管和水平管横截面积S 1=10 cm 2,右管横截面积S 2 =20cm 2, 水平管长为3h .现撤 去外力让活塞在管中下降,求两活塞稳定后所处的高度. (活塞厚度 均大于水平管直径,管内气体初末状态温度相同g 取10 m/s 2)34.(1) (5分) 波速相同的甲、乙两列简谐横波都沿x 轴正方向传播,某时刻波的图象分别如图甲、图乙所示,其中P 、Q 处的质点均处于波峰,关于这两列波,下列说法正确的是 (填正确答案标号. 选对1个得2分,选对2个得4分,选对3个得5分;每选错1个扣3分,最低得分为0分).A. P、Q、M处质点的振幅均为1OcmB. Q点将比P点先回到平衡位置C.甲波中P处质点比M处质点先回到平衡位置D.乙波更容易观察到明显的衍射现象E.如果这两列波相遇可能发生稳定的干涉图样∠=90°,(2)(10分)某种材料的三棱镜截面ABC如图所示,底边BC水平且镀银,其中A∠=60°,—束竖直向下的单色光束从A B边上的 M点入射,经过BC面反射后,从AC边B上的N 点平行于BC边射出,且MN连线平行于B C,求:(i)光线在M点的折射角;(ii)三棱镜的折射率.(可用根式表示)35.(1) (5分) 以下是有关近代物理内容的若干叙述,其中正确的是(填正确答案标号.选对1个得2分,选对2个得4分,选对3个得5分;每选错1个扣3分,最低得分为0分).A.太阳内部发生的核反应是热核反应B.一束光照射到某种金属上不能发生光电效应,可能是因为这束光的光强太小C.按照玻尔理论,氢原子核外电子从半径较小的轨道跃迁到半径较大的轨道时,电子的动能减小,但原子的能量增大D.原子核发生一次β衰变,该原子外层就失去一个电子E.天然放射现象中发出的三种射线是从原子核内放出的射线(2)(10分)在光滑的水平面上,质量为m 1的小球A以速率v0向右运动.在小球的前方O 点处有一质量为m 2的小球B处于静止状态,如图所示.小球A与小球B发生弹性碰撞后两小球均向右运动.小球B与Q点处的墙壁碰撞后原速率返回并与小球A在P点相遇,PQ=1.5PO .(1)求两小球质量之比m 1/m 216.答案:D解析:行星由远日点B 运动至近日点A ,行星与太阳间距减小,则太阳对行星的引力增大,根据牛顿第二定律可知行星的加速度大小应增大,所以A 选项错误. .由曲线运动的条件、动能定理及机械能守恒定律可知,引力对行星做正功,行星的动能增大、机械能守恒. 所以,B 、C 选项错误,D 选项正确.17. 答案:C解析:根据题意做出带点粒子的轨迹示意如图又据几何关系222ba R +=由牛顿第二定律:Rm v Bqv 2=由两式得:mb a qB v 222+=18. 答案:C解析:如图对a 、b 两小球进行受力分析.剪断细线后,两小球由于合力均不为零,小球间距发生变化导致小球间的库仑力发生变化,小球a 所受的库仑力与重力的合力Fa,小球b 所受的库仑力与重力的合力Fb ,均为变力,所以两球不可能做匀加速运动,因此,A 选项错误.两球竖直方向的分运动均为自由落体运动,所以任意时刻两球都处于同一水平面上. 根据库仑定律可知:两小球间的库仑力F 始终相等,则m a >m b ,a 球水平Aα OBxyαba a方向的分运动的加速度小于b 球水平方向的分运动的加速度,所以同一段时间内,a 球水平位移小于b 球水平位移,任意时刻,a 球速度小于b 球速度. 因此,B 、D 选项错误,C 选项正确.19. 答案:BD解析:质点忽略物体各部分运动的差异、点电荷是忽略了物体的大小.理想电压表则是将内阻视作无穷大.理想变压器是不计变压器上的能量损失.所以A 、C 选项错误,B 、D 选项正确.22.答案:(1)5. 015 (1分, 5,010---5.020都给分) (2)1,0(1分), 2,5 (1分) (3)P 点到桌面的高度h (3分)(4)2221(2v v x s Lgsμ-=- (3分)解析:(1) 解析略(2) s m v /0.1100.510015.5221=⨯⨯=--, s m v /5.2100.210015.5222=⨯⨯=-- (3)见第(4)问解析(4)由222111sin cos 22tan cos mgL mg L mv mv x s θμθθθ⎧-⋅=-⎪⎪⎪=⎨⎪⎪=⎪⎩可得x s μ=23.答案:①电路图如图 (1分) ,R1(1分)②K mR R E V V -=(2分), KmR KR r V V-=(2分)解析:①、②由:⎪⎪⎩⎪⎪⎨⎧+=+=R R R R R R E UV V 并并并R r得:vR E r R E r 11E 1U 1⋅+⋅+=,所以,应以R 1为横轴结合图象,可知:⎪⎪⎩⎪⎪⎨⎧⋅=⋅+=RE r k R E r m v 11E 1 所以,K mR R E V V -=, KmR KR r V V-=24.(14分)答案 (1) F T =15 N (2) 0.625 m 解析:(1)设小球运动到最高点时速度为v ,对该过程由动能定理有:221)(mv L mg qE =- ①(2分)在最高点对小球由牛顿第二定律得:Lv m qE mg F T 2=-+② (2分) 由①②式解得,F T =15 N(1分)(2)小球在细线断裂后,在竖直方向的加速度设为a ,则qE mga m-=③(2分)设小球在水平方向运动L 的过程中,历时t ,则L=vt ④(2分)设竖直方向上的位移为x , 则21x at 2=⑤(2分) 由①③④⑤解得x=0.125 m(2分)所以小球距O 点高度为x+L=0.625 m(1分)滑动摩擦力f 1=μ(M+m)g= 8 N (2分)由牛顿运动定律得:a 1=(F —f 1)/M =0.5m/s 2(2分) 木箱滑行1m ,历时 t 1=112a s =2s (2分) 金属块滑落后,木箱在水平恒力和滑动摩擦力f 2 的作用下,做匀加速直线运动1s ,加速度为a 2,滑动摩擦力f 2=μMg= 5 N (1分)由牛顿运动定律得:a 2=(F - f 2)/M =2m/s 2(2分) 2s 末木箱的速度为v 1=a 1t 1=1m/s (2分) 第3s 内的位移s 2=v 1t 2+22221t a =2m (2分) 3s 末木箱的速度为v 2= v 1+a 2t 2 =3m/s (2分)撤去力F 后,木箱做匀减速运动直至停止,减速运动的加速度a 3 = -μg = -2.5 m/s 2(1分)此过程的位移S 3 = 3222a v - =1.8m (1分)因此木箱停止后,小金属块落地点距木箱左边沿的水平距离 S=S 2=S 3=3.8 m (1分)33. (1)(5分)答案:ABD解析:根据热力学第二定律及能量守恒定律,可知A 、B 选项正确. 根据气体性质及气体分子运动的规律,可知C 选项错误,D 选项正确.33. (2)(10分)答案:0.5h 解析:撤去外力后左侧向下的压强p 左=p 0+mg/S 1=2.0×105Pa =2p 0 (3分)右侧向下的压强p 右=p 0+mg/S 2=1.5×105 Pa =1.5p 0 (3分)故活塞均下降,且左侧降至水平管口.设右侧降至高为x 处,此时封闭气体压强变为p ′=1.5p 0 对封闭气体p 0(4hS 1+hS 2)=1.5p 0(3hS 1+xS 2) (3分) x =0.5h (1分)34. (1)(5分)答案:ACD解析:甲、乙两列机械波的波速相同,由图可知λ甲<λ乙,则T 甲<T 乙,根据机械波的特点可判断A 、C 、D 选项正确,B 、E 选项错误.解析:如图:030,60,90=∠=∠=∠C B A由题意可得:060,30,6021=∠=∠=∠=∠MNQ NMQ (3分) 根据折射定律,可得:PNQ PMQ ∠=∠ 根据反射定律,可得:PNM PMN ∠=∠即:PNQ MNQ PMQ NMQ ∠-∠=∠+∠ (1分) 折射角015=∠PMQ (3分)折射率223615sin 60sin 00+==n (3分)35. (1)(5分)答案:ACE解析:由天然放射性的规律可知,发生衰变时,放出的三种射线均来自原子核,所以D 选项错误,E 选项正确. 根据光电效应的规律可知,不能发生光电效应是因为照射光的频率太小,所以B 选项错误. 根据玻尔理论、动能定理可知,C 选项正确. 太阳内部发生聚变反应,所以A 选项正确.35.(2)(10分)答案:①2︰1 ②tv m F 3201=解析:从两小球碰撞后到它们再次相遇,小球A 和B 的速度大小保持不变,根据它们通过的路程,可知小球B 和小球A 在碰撞后的速度大小之比为4∶1 ① (1分) 两球碰撞过程有:101122m v m v m v =+ ② (2分)222101122111222m v m v m v =+ ③ (2分) 解得:122m m =︰1 ④ (2分)。
贵州省贵阳市第一中学2014届高三第六次月考生物试题
高三第六次月考生物试题1.吞噬细胞与被病感染细胞相比,附着有核糖体的内质网较发达,与吞噬细胞结构相适应的功能是①表达细胞表面受体②产生更多的细胞内水解酶③合成大量ATP ④合成更多蛋白质分泌到胞外A.①②③ B.①②④ C.②③④ D.①③④2.下图表示叶绿体色素吸收光能的情况。
据图分析,以下说法正确的是A.夜间用大约550nm波长的光照射行道树可增大对空气中CO2的吸收B.据图可判断,叶肉细胞中叶绿素b含量多于叶绿素aC.土壤中缺乏镁时420nm~470nm左右波长的光的利用量显著减少D.由550nm波长的光转为670nm波长的光后叶绿体中C3的量增加3.下表是生物科学史上一些经典实验的叙述,表中“方法与结果”和“结论或观点”能匹配的是4.HIV侵入正常人体后会破坏T细胞,科学家正在研究将HIV引诱到修饰过的成熟红细胞中,以防止病毒增殖。
下列叙述正确的是A.HIV侵入正常人体初期,机体不能产生细胞免疫将其清除B.HIV再次侵入人体,记忆细胞迅速增殖分化形成T细胞C.HIV感染正常人体后,免疫系统的监控和清除功能将会降低D.成熟红细胞不能为HIV提供复制的模板从而抑制其增殖5.现代生物进化理论认为,突变和基因重组产生生物进化的原材料。
下列哪种现象不属于此类变异的范畴A.无子西瓜B.(豌豆)高茎(自交)→高茎∶矮茎=3∶1C.猫叫综合征D.红眼果蝇种群中偶尔出现了一只白眼果蝇6. 下列关于种群和群落的叙述中,不正确的是A.使用取样调查法可获知一定环境中种群密度和物种丰富度B.常用取样器取样进行采集、调查可推测某区域内土壤动物的丰富度C. 群落中的各种群在垂直方向上的分布构成群落的垂直结构D. 种群中的个体在水平方向上的分布构成群落的水平结构29.(10分)某植物的种子自植株开花后60天开始逐渐成熟,至开花后8l天完全成熟。
某研究性学习小组同学,为了研究该植物不同成熟度种子自然干燥不同天数后的发芽率差异,设计了如下实验方案:自植物开花后60天开始,每隔一定天数采摘一批种子,至开花后81天为止,并将每批种子自然干燥不同天数后备测。
贵州省贵阳市2014届高三适应性检测考试(二)数学理试题扫描版含答案
参考答案一、选择题:本大题共12小题,每小题5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.B2.C3.D4.A5.A6.A7.D8.B9.B10.B11.A12.C二、填空题:本大题共4小题,每小题5分。
13.4.14.8.15.6.16..三、解答题:解答应写出文字说明,证明过程或演算步骤17.解:(Ⅰ)∵以a3﹣2,a3,a3+2为边长的三角形是直角三角形,∴(a3﹣2)2+a32=(a3+2)2,∵a3≠0,∴a3=8,∵a1+a3是a2与a4的等差中项,∴2(a1+a3)=a2+a4,∴2(+8)=+8q,∴q=2,∴a n=2n;(Ⅱ)∵b n+1=b n+a n+n,∴b n+1﹣b n=a n+n,∴b n﹣b1=(2+22+…+2n﹣1)+(1+2+…+n﹣1)=+,∴b n=2n+.18.解:(Ⅰ)列联表补充如下:﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣(3分)喜爱打篮球不喜爱打篮球合计男生22 6 28女生10 10 20合计32 16 48(Ⅱ)∵K2=≈4.286>3.841﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣(5分)∴有95%的把握认为喜爱打篮球与性别有关.﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣(6分)(Ⅲ)喜爱打篮球的女生人数ξ的可能取值为0,1,2.﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣(7分)其概率分别为P(ξ=0)==,P(ξ=1)==,P(ξ=2)=﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣(10分)故ξ的分布列为:ξ0 1 2P﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣(11分)ξ的期望值为:Eξ=0×+1×+2×=1﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣(12分)19.(Ⅰ)证明:取BC中点G,连接FG,AG.又F为CD的中点,则FG∥BD,且FG=BD,∵BD∥AE,BD=2AE,∴AE∥FG,AE=FG,∴四边形AEGF是平行四边形,∴EF∥AG,∵三角形ABC为等边三角形,∴AG⊥BC,∵平面ABC⊥平面ABDE,AE⊥AB,∴AE⊥平面ABC,BD⊥平面ABC,∴BD⊥AG,又BD∩BC=B,∴AG⊥平面ABC,∴EF⊥平面BCD;(Ⅱ)解:在线段AC上假设存在点N,使CD∥平面BEN,当=时,CD∥平面BEN.理由如下:连接AD,BE交于H,连接NH,在直角梯形ABDE中,△AEH∽△DBH,则AH:DH=AE:DB=1:2,又AN:NC=1:2,在△ACD中,由平行线分线段成比例的逆定理可得,CD∥NH,∵CD⊄平面BEN,NE⊂平面BEN,∴CD∥平面BEN.20.(Ⅰ)证明:设圆心(a,),则圆为(x﹣a)2+(y﹣)2=a2+(2﹣)2,当y=0时,x=a±2,∵MN为圆D在x轴上截得的弦,∴|MN|=4.(Ⅱ)解:令∠MAN=θ,由余弦定理,得16=m2+n2﹣2mncosθ,又由S△AMN==,∴,∴=2(sinθ+cosθ)=2sin(),∴﹣2≤+≤2,∴+的取值范围是[﹣2,2].21.解:(1)∵y=e x是增函数,∴当x≥0时,f(x)为增函数,又f(x)为偶函数,∴f(x)min=f(0)=3+a,∴3+a=3.∴a=0当x<0时,﹣x>0,∴f(x)=f(﹣x)=3e﹣x综上,f(x)=,(2)∵当x∈[1,m]时,都有f(x+t)≤3ex,∴f(1+t)≤3e当1+t≥0时,有:3e1+t≤3e,即e1+t≤e,得到1+t≤1,∴﹣1≤t≤0;当1+t≤0时,同理,﹣2≤t≤﹣1,∴﹣2≤t≤0同样地,f(m+t)≤3em及m≥2,得e m+t≤em∴e t≤,由t的存在性可知,上述不等式在[﹣2,0]上必有解.∵e t在[﹣2,0]上的最小值为e﹣2,∴e﹣2≤,即e m﹣e3m≤0①令g(x)=e x﹣e3x,x∈[2,+∞).则g'(x)=e x﹣e3由g'(x)=0得x=3当2≤x<3时,g'(x)<0,g(x)是减函数;当x>3时,g'(x)>0,g(x)是增函数∴g(x)的最小值是g(3)=e3﹣3e3=﹣2e3<0,又g(2)<0,g(4)<0,g(5)>0,∴g(x)=0在[2,+∞)上有唯一解m0∈(4,5).当2≤x≤m0时,g(x)≤0,当x>m0时,g(x)>0∴在x∈[2,+∞)时满足不等式①的最大实数解为m0当t=﹣2,x∈[1,m0]时,f(x﹣2)﹣3ex=3e(e|x﹣2|﹣1﹣x),在x∈[1,2)时,∵e|x﹣2|﹣1=e1﹣x≤1∴f(x﹣2)﹣3ex≤0,在x∈[2,m0]时,f(x﹣2)﹣3ex=3e(ex﹣3﹣x)=g(x)≤0综上所述,m最大整数为4.22.证明:(1)∵EF∥AD,∴∠BEF=∠DAB=∠ECF,∵∠EFB=∠CFE,∴△BEF∽△CEF.(2)∵△BEF∽△CEF,∴,∴EF2=CF×BF,∵FG切圆于G,∴FG2=FB×FC,∴EF2=FG2,即,EF=FG.23.解:(Ⅰ)若在直角坐标系下直线l的倾斜角为α,把点P的极坐标(2,)化为直角坐标为(0,2),故直线l的参数方程为(t为参数).曲线C的极坐标方程:ρ=﹣4cosθ,即ρ2=﹣4ρcosθ,化为直角坐标方程为(x+2)2+y2=4.(Ⅱ)由(Ⅰ)可得,曲线C表示以C(﹣2,0)为圆心、半径等于2的圆.把直线l的参数方程代入曲线C的方程化简可得t2+4(cosα+sinα)t+4=0,∴t1+t2=4(cosα+sinα),t1•t2=4.|PM|+|PN|=|t1|+|t2|=|t1+t2|=4|sin(α+)|.再根据α∈[0,π),可得当α=时,|PM|+|PN|的最大值为4.24.解:(Ⅰ)令函数y=|x﹣1|+x+|x+1|,由题意知,只需a≤y的最小值即可.当x≥1时,y=(x﹣1)+x+(x+1)=3x;当﹣1<x<1时,y=(1﹣x)+x+(x+1)=x+2;当x≤﹣1时,y=(1﹣x)+x(﹣1﹣x)=﹣x.作出此函数的图象,如图1所示,可知当x=﹣1时,函数有最小值y min=﹣(﹣1)=1.所以a≤1.(Ⅱ)作出函数y=的图象,再将y<0的部分沿x轴对折,即得y=的图象,同理可得y=的图象.联立,有x﹣1=3(x﹣9),或x﹣1=﹣3(x﹣9),得x=7或13.当x=7时,y=;当x=13时,y=.从而得y=的图象与y=的图象的交点为A(7,),B(13,).由图象知,当x≤7时,;当7<x<13时,;当x≥13时,.∴y有最大值,此时,x=7.。
贵州省贵阳市第一中学2014届高三第五次月考数学(文)试题
贵州省贵阳市第一中学2014届高三第五次月考数学(文)试题第Ⅰ卷 (选择题 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,只有一个是符合题目要求)1.设全集(){}(){}2,21,ln 1x x U A x B x y x -==<==-R ,则如图所示阴影部分表示的集合为( ){}.1A x x ≥ {}.12B x x ≤< {}.01C x x <≤ {}.1D x x ≤ 2.纯虚数z 满足23z -=,则纯虚数z 为 ( )A .BC .D .5或1-3.以下说法错误..的是( ) A .命题“若2320x x -+=,则x =1”的逆否命题为“若x ≠1,则2320x x -+≠”. B . “1x =”是“2320x x -+=”的充分不必要条件. C .若p q ∧为假命题,则p q 、均为假命题.D .若命题p :x ∃∈R,使得210x x ++<,则p ⌝:x ∀∈R,则210x x ++≥.4.如图是一个空间几何体的三视图,这个几何体的体积是( )1212A. 22(2)(2)1x y ++-= B. 22(2)(2)1x y -++= C. 22(2)(2)1x y +++= D. 22(2)(2)1x y -+-= 6.执行如图所示的程序框图,输出的S 值为( )7.定义在R 上的函数满足以下三个条件: (1)对任意的x R ∈,都有(4)()f x f x +=(2) 对任意的[]12,0,2x x ∈且12x x <,都有12()()f x f x < (3) 函数(2)f x +的图像关于y 轴对称.则下列结论正确的是 ( )A .(4.5)(7)(6.5)f f f << B. (7)(4.5)(6.5)f f f << C. (7)(6.5)(4.5)f f f << D. (4.5)(6.5)(7)f f f <<8.等腰三角形ABC 中,5,30,AB AC B P BC ==∠=为边中线上任意一点,则CP BC ⋅的值为( )A 、752 B 、252- C 、5 D 、752-9.已知各项为正的等比数列{}n a 中,4a 与14a 的等比中项为,则7112a a +的最小值为( )A .16B .8C .D .411.如图所示,F 1,F 2是双曲线(a >0,b >0)的两个焦点,以坐标原点O 为圆心,|OF 1|为半径的圆与该双曲线左支的两个交点分别为A ,B ,且△F 2AB 是等边三角形,则双曲线的离心率为( )+1+1.12.在区间[0,1]上任意取两个实数a ,b ,则函数在区间[﹣1,1]上有且仅有一个零...本卷包括必考题和选考题两部分.第13题~第21题为必考题,每个题考生都必须作答。
贵州省贵阳市第一中学2014届高三第六次月考历史试题
1. 周幽王宠幸褒姒,“褒姒不好笑……幽王为烽燧大鼓,……诸侯悉至,至而无寇,褒姒乃大笑。
”导致这种现象的主要原因是A B.“天子适诸侯曰巡狩。
”C.“昔天子班贡,轻重以列,列尊贡重,周之制也。
” D2. 据日本学者伊藤道治的研究,西周封建的诸国,主要分布于七个地区。
其一为王朝首都所在的渭水流域,其二为黄河汾水地区,其三为洛阳、开封、安阳三角地带,其四为周的近畿,其五为鲁南、苏北、豫、皖一带,其六为豫南、鄂北一带,其七为鄂南、湘、赣至浙江。
其中,姬姓诸国沿着殷周交通线分布,大体与黄河流域主要生产区相吻合。
这反映出西周向东分封的主要原因是A.封邦建国,以藩屏周 B.控制农业生产区,加强统治C.严控异姓诸侯,防止反叛 D.黄河流域是中国古代的主要农耕区3.在中国的传统文化中,中医在诊断和治疗时,即使是局部病症,也会着眼于全身进行诊疗;文学家、艺术家在创作中强调文艺作品的“气象”“神韵”“格调”,形成“雄浑”和“自然”等不同的艺术风格。
这体现出中华文明的特点是A.注重整体思维 B.强调主观意志 C.凸显人与自然的和谐 D.追求意境4. “政治权力型经济在中国历史上表现得最为突出,最为典型。
”但这种经济形式在其他国家也有体现,以下表现这种经济形式的有:①“海禁”政策②夜市出现③苏俄的新经济政策④西方福利国家A.①③④ B.②③④ C.①②③ D5.“每九天举行一次至少要求6000位公民参加的雅典公民大会期间,雅典警卫在街道上巡逻,并用沾了红色粉末的绳子将公民们从市镇广场的最北端护送到集会场所,一旦在集会场所外发现某个公民沾有红色印记,他就会受到惩罚。
”上述现象主要反映了A.政治活动频繁导致公民厌倦B.雅典民主政治衰落的必然性C.雅典公民必须履行参政义务D.雅典民主政治具有强制性6.侨批是出国谋生的潮州人寄回家乡赡养亲属和禀报平安的一种“银、信合封”的特殊信件和民间寄汇,是潮汕历史上举世罕见的文化奇观,蕴含丰富的历史信息。
贵州省贵阳市第一中学2014届高三第六次月考化学试题
原子量 H —1 C —12 O —16 Cr —527.下列叙述正确的是A 、为防止富脂食品氧化变质可以在包装袋中加入生石灰B 、用医用酒精消毒是因为酒精可以使蛋白质发生盐析C 、绿色食品是不含任何化学物质的食品D 、钠可把钛、锆、铌、钽等金属从它们的熔融的卤化物里还原出来8.下列有关实验操作说法中,正确的是①用pH 试纸测得氯水的pH 为2②用量筒、试管胶头滴管、玻璃棒、蒸馏水和pH 试纸,可鉴别pH 相等的硫酸和醋酸③在进行分液操作时,分液漏斗中下层液体从下口放出,上层液体从上口倒出④用碱式滴定管量取25.00mL 溴水⑤可用渗析的方法除去淀粉中混有的少量NaCl 杂质⑥在进行过滤操作时,为了加快速率,可用玻璃棒不断搅拌过滤器中液体A .①③⑤ B.②③⑤ C.③④⑤ D.①③④⑥9.经测定某种溶液中只含4NH Cl H OH +-+-、、、四种离子,下列说法错误的是( ) A .若满足:+4(Cl )(NH )(OH )(H )c c c c -+-=>=,则溶质一定是4NH ClB .若满足:4(NH )(Cl )(OH )(H )c c c c +--+>>>,则溶质一定是4NH Cl 和32NH H O ⋅C .溶液中四种离子之间可能满足:+4(Cl )(H )(NH )(OH )c c c c -+->>>D .若满足:4(NH )(Cl )c c +-=,则溶液一定呈中性A .用甲图装置电解精炼铝B .用乙图装置制备Fe(OH)2C .丙图装置可制得金属锰,用同样的装置可制得金属铬D .丁图验证NaHCO 3和Na 2CO 3热稳定性11.设N A 代表阿伏加德罗常数的数值,下列说法中正确的是①常温常压下,9g 甲烷(CH 4)所含的中子数为5N A②常温常压下,22.4L N 2气体的分子数小于N A③64g 的铜发生氧化还原反应,一定失去2N A 个电子④常温常压下,100mL 0.5mol/L的乙酸溶液中,乙酸的分子数目小于0.05N A⑤标准状况时,22.4L二氯甲烷所含有的分子数为N A⑥常温常压下,1mol氦气分子含有的核外电子数为4N A。
【百强校】2014年贵州省贵阳一中高考适应性考试物理试卷(带解析)
试卷第1页,共9页绝密★启用前【百强校】2014年贵州省贵阳一中高考适应性考试物理试卷(带解析)试卷副标题考试范围:xxx ;考试时间:74分钟;命题人:xxx学校:___________姓名:___________班级:___________考号:___________注意事项.1.答题前填写好自己的姓名、班级、考号等信息 2.请将答案正确填写在答题卡上第I 卷(选择题)一、选择题(题型注释)1、(2014•贵州模拟)目前,在居室装修中经常用到花岗岩、大理石等装饰材料,这些岩石都不同程度地含有放射性元素,比如,有些含有铀、钍的花岗岩等岩石会释放出放射性惰性气体氡.而氡会发生放射性衰变,放出α、β、γ射线.这些射线会导致细胞发生癌变及呼吸道等方面的疾病,根据有关放射性知识可知,下列说法正确的是( ) A .氡的半衰期为3.8天,若取4个氡原子核,经7.6天后就一定剩下一个原子核了 B .β衰变所释放的电子是原子核内的中子转化成质子和电子所产生的C .γ射线一般伴随着α或β射线产生,在这三种射线中,γ射线的穿透能力最强,电离能力最弱D .发生α衰变后,得到的新原子核与衰变前的原子核相比,质子数和中子数各减少2个E.在放射性元素中掺杂其他稳定元素并大幅度降低其温度,可以减小它的半衰期试卷第2页,共9页2、(2014•贵州模拟)两个静止的声源,发出声波1和声波2,在同种介质中传播,如图所示为某时刻这两列波的图象,则下列说法正确的是( )A .声波1和声波2的波速之比为1:2B .声波1和声波2的频率之比为1:2C .相对于同一障碍物,波1比波2更容易发生明显的衍射现象D .这两列波相遇时,不会产生干涉现象E.远离两个声源运动的观察者,接收到这两列波的频率比从声源发出时的频率大3、(5分)(2014•贵州模拟)下列说法正确的是( ) A .气体放出热量,其分子的平均动能可能增大B .布朗运动不是液体分子的运动,但它可以说明分子在永不停息地做无规则运动C .当分子力表现为斥力时,分子力和分子势能总是随分子间距离的减小而增大D .热量只可以从高温物体传到低温物体,不可能从低温物体传到高温物体E .某气体的摩尔体积为V 0,每个分子的体积为V 0,则阿伏加德罗常数可表示为N A =4、(6分)(2014•贵州模拟)一金属杆ab ,以某一初速度v 0从一光滑平行金属导轨底端向上滑行,导轨平面与水平面成θ角,两导轨上端用一电阻R 相连,如图所示.匀强磁场垂直斜面向上,导轨与杆的电阻以及它们之间的接触电阻均不计,金属杆向上滑行到某一高度之后又返回到底端,则在此全过程中( )A .向上滑行的时间大于向下滑行的时间B .向上滑行过程中克服安培力做的功大于向下滑行过程中克服安培力做的功C .向上滑行过程中电阻R 上产生的热量等于向下滑行过程中电阻R 上产生的热量D .向上滑行过程中通过电阻R 的电荷量等于向下滑行过程中通过电阻R 的电荷量试卷第3页,共9页5、(6分)(2014•贵州模拟)2013年12月2日凌晨2时17分,“嫦娥三号”由“长征三号乙”运载火箭成功送入太空,经过一系列的调控和变轨,“嫦娥三号”最终顺利降落在月球表面,如图所示.“嫦娥三号”在地月转移轨道的P 点调整后进入环月圆形轨道1,进一步调整后进入环月椭圆轨道2.有关“嫦娥三号”下列说法正确的是( )A .在P 点由轨道1进入轨道2需要减速B .在地球上的发射速度一定大于第二宇宙速度C .在轨道2经过P 点时速度大于Q 点速度D .分别由轨道1与轨道2经P 点时,向心加速度相同6、(6分)(2014•贵州模拟)关于物理学发展协和中的认识,下列说法正确的是( ) A .卡文迪许通过扭秤实验测出了静电力常量 B .丹麦物理学家奥斯最早发现磁生电现象C .牛顿第一定律是利用逻辑思维对事实进行分析的产物,不能用实验直接验证D .美国物理学家密立根利用带电油滴在竖直电场中的平衡比较准确地测定了电子的电量7、(6分)(2014•贵州模拟)如图所示,地球可以看成一个桥面半径为地球半径的巨大的拱形桥,有一辆汽车行驶在这个桥面上.在汽车的速度可以达到需要的任意值且不离开地面的前提下,下列分析中正确的是( )A .汽车的速度越大,则汽车对地面的压力也越大B .不论汽车的行驶多大,驾驶员对座椅压力大小都不大于他自身的重力试卷第4页,共9页C .不论汽车的行驶多大,驾驶员所受的重力就是驾驶员做做圆周运动的向心力D .如果某时刻汽车的速度增大到使汽车对地面压力为零,此时驾驶员会有超重的感觉8、(6分)(2014•贵州模拟)如图所示,光滑绝缘半球形的碗固定在水平地面上,可视为质点的带电小球1、2的电荷分别为Q 1、Q 2,其中小球1固定在碗底A 点,小球2可以自由运动,平衡时小球2位于碗内的B 位置处,如图所示.现在改变小球2的带电量,把它放置在图中C 位置时也恰好能平衡,已知AB 弦是AC 弦的两倍,则()A .小球在C 位置时的电量是B 位置时电量的一半 B .小球在C 位置时的电量是B 位置时电量的四分之一C .小球2在B 点对碗的压力大小等于小球2在C 点时对碗的压力大小D .小球2在B 点对碗的压力大小大于小球2在C 点时对碗的压力大小9、(6分)(2014•贵州模拟)贵州有着非常丰富的水电资源,发电站所发的电需要输电网络输送给远方的用户.如图所示为模拟远距离输电的电路图,升压变压器和降压变压器均为理想变压器,其原、副线圈的匝数比分别1:n 和n :1,发电厂的输出电压及输电线的电阻均不变,其他导线的电阻忽略不计,发电厂的输出电压为U 1、电流为I 1,用户得到的电压为U 2、电流为I 2,则( )A .I 1=I 2B .U 1=U 2C .用户越多,U 2越大D .用户越多,I 1、I 2越小10、(6分)(2014•贵州模拟)一个物体以一定的速度沿水平方向抛出,不计空气阻力的作用,物体运动过程中的机械能为E 、速度方向与水平方向的夹角为θ、速度的变化量△v 、重力的瞬时功率为P ,则物体落地之前的运动过程中P 、E 、△v 、tanθ随时间变化的图象不可能的是( )试卷第5页,共9页A .B .C .D .11、(6分)(2014•贵州模拟)2013年6月20日,我国宇航员王亚平在天宫授课时,利用质量测量仪粗略地测出了聂海胜的质量.如图为测量时的情景,基本的操作过程是这样的:先把聂海胜固定在测量仪上,通过测量仪对他施加一个恒力,测量在某段时间内聂海胜的位移,通过计算得聂海胜的质量.若聂海胜受到恒力F 从静止开始运动,经过时间t 移动的位移为x ,则聂海胜的质量为( )A .B .C .D .试卷第6页,共9页第II 卷(非选择题)二、实验题(题型注释)12、(9分)(2014•贵州模拟)在“描绘小灯泡的伏安特性曲线”的实验中,需测量一个标有“3V ,1.5W”灯泡两端的电压和通过灯泡的电流.现有如下器材: 直流电源(电动势3.0V ,内阻不计) 电流表A 1(量程3A ,内阻约0.1Ω) 电流表A 2(量程600mA ,内阻约5Ω) 电压表V 1(量程3V ,内阻约3kΩ) 电压表V 2(量程15V ,内阻约200kΩ) 滑动变阻器R 1(阻值0~10Ω,额定电流1A ) 滑动变阻器R 2(阻值0~1kΩ,额定电流300mA )(1)在该实验中,电流表应选择 (选填“A 1”或“A 2”),电压表应选择 (选填“V 1”或“V 2”),滑动变阻器应选择 (选填“R 1”或“R 2”).(2)某同学用导线a 、c 、d 、e 、f 、g 和h 连接成如图甲所示的电路,请在图乙方框中完成实验的电路图.(3)该同学连接电路后检查所有元器件都完好,经检查各部分接触良好.但闭合开关后,反复调节滑动变阻器,小灯泡的亮度发生变化,但电压表和电流表示数不能调为零,则断路的导线为 .(4)由于电表内电阻的影响,本实验中电压表的示数 (填写“大于”、“等于”、“小于”)小灯泡两端的电压,电流表的示数 (填写“大于”、“等于”、“小于”)流过小灯泡的电流;电压表的内电阻对测量结果 (填写“有”、“无”)影响,电流表的内电阻对测量结果 (填写“有”、“无”)影响.试卷第7页,共9页13、(6分)(2014•贵州模拟)某探究小组为了测定重力加速度,设计了如图甲所示的实验装置.工型挡光片悬挂于光电门的正上方,释放挡光片后,工型挡光片竖直下落,它的两臂A 、B 依次通过光电门,光电计时器记录A 、B 分别通过光电门的时间.(1)用图乙游标卡尺测量工型挡光片的两臂A 、B 的宽度d 1和d 2,某次用20分度的游标卡尺测量A 的宽度d 1时如图所示,则臂A 的宽度d 1为 mm .(2)若计时器显示臂A 、B 通过光电门的时间分别为t 1和t 2,则臂A 、B 通过光电门的速度表达式分别为 、 .(3)若测得臂A 、B 之间的距离为L (L 远大于d 1、d 2),用以上测量量表示当地重力加速度的表达式为 .三、计算题(题型注释)14、(10分)(2014•贵州模拟)如图所示,甲车质量为2kg ,静止在光滑水平面上,其顶部上表面光滑,右端放一个质量为1kg 的小物体,乙车质量为4kg ,以5m/s 的速度向左运动,与甲车碰撞后甲车获得6m/s 的速度,物体滑到乙车上,若乙车足够长,其顶部上表面与物体的动摩擦因数为0.2,则(g 取10m/s 2)(1)物体在乙车上表面滑行多长时间相对乙车静止; (2)物块最终距离乙车左端多大距离.试卷第8页,共9页15、(2014•贵州模拟)某种光学元件由两种不同透明物质I 和透明物质II 制成,其横截面如图所示.O 为AB 中点,半圆形透明物质1的折射率为,透明物质II 的折射率为n 2.一束光在纸面对准O 点射入半圆形透明物质I ,当逐渐增大光线与AB 面垂线的夹角到θ时,通过观察发现此时从AC 面射出的光线恰好消失,同时有光线垂直BC 面射出,不考虑元件II 中多次反射的情况.求:(i )该透明物质II 的折射率n 2;(ii )光线与AB 面垂线的夹角θ的正弦值.16、(10分)(2014•贵州模拟)如图所示,透热的气缸内封有一定质量的理想气体,缸体质量M=200kg ,活塞质量m=10kg ,活塞面积S=100cm 2.活塞与气缸壁无摩擦且不漏气.此时,缸内气体的温度为27°C ,活塞正位于气缸正中,整个装置都静止.已知大气压恒为p 0=1.0×105P a ,重力加速度为g=10m/s 2.求:(a )缸内气体的压强p 1;(b )缸内气体的温度升高到多少°C 时,活塞恰好会静止在气缸缸口AB 处?17、(18分)(2014•贵州模拟)如图所示,M 、N 为中心开有小孔的平行板电容器的两极板,相距为d ,其右侧有一边长为L 的正三角形区域,区域内有垂直纸面向里的匀强磁场,在极板M 、N 之间加上电压U 后,M 板电势高于N 板电势.现有一带正电的粒子,质量为m 、电荷量为q ,其重力和初速度均忽略不计,粒子从极板M 的中央小孔S 1处进入电容器,穿过小孔S 2后从距三角形A 点(﹣1)L 的P 处垂直AB 方向进入磁场,试卷第9页,共9页(1)求粒子到达小孔S 2时的速度;(2)若已知粒子从P 点进入磁场后经时间t 从AP 间离开磁场,求粒子的运动半径和磁感应强度的大小;(3)若磁场的磁感应强度的大小可以任意取值,设能从AC 边射出的粒子离开磁场时的位置到A 点的距离为x ,求x 的取值范围.18、(14分)(2014•贵州模拟)如图所示,长木板静止在光滑水平面上,其左端放有可视为质点的小木块,小木块在水平恒力F 作用下,经时间t 从长木板左端被拉到右端.已知水平恒力F=5N ,小木块质量m=1kg ,长木板质量M=2kg ,木板长度L=1m ,木板与小木块间的动摩擦因数μ=0.2,重力加速度g=10m/s 2.求:(1)F 作用的时间t ;(2)小木块克服摩擦力所做的功.参考答案1、BCD2、BCD3、ABC4、BD5、AD6、CD7、B8、C9、A10、B11、D12、(1)A2、V1、R1(2)如下图(3)h (4)等于、大于、有、无.13、(1)3.35,(2),(3)14、(1)物体在乙车上表面滑行0.8s相对乙车静止;(2)物块最终距离乙车左端0.8m处.15、(i)该透明物质II的折射率n2为.(ii)光线与AB面垂线的夹角θ的正弦值为.16、17、(1)粒子到达小孔S2时的速度为;(2)粒子的运动半径为,磁感应强度的大小为;(3)x的取值范围为:(3﹣5)L≤x≤L.18、(1)F作用的时间t为1s;(2)小木块克服摩擦力所做的功3J.【解析】1、试题分析:半衰期具有统计意义,对大量的原子核适用;β衰变所释放的电子是原子核内的中子转化成质子和电子所产生的;γ射线一般伴随着α或β射线产生,γ射线的穿透能力最强,电离能力最弱,α射线的电离能力最强,穿透能力最弱;衰变的过程中电荷数守恒、质量数守恒,结合质量数等于质子数和中子数之和判断质子数和中子数的变化;半衰期的大小与原子核所处的物理环境和化学状态无关.解:A、半衰期具有统计意义,对大量的原子核适用,对少数的原子核不适用.故A错误.B、β衰变所释放的电子是原子核内的中子转化成质子和电子所产生的.故B正确.C、γ射线一般伴随着α或β射线产生,在这三种射线中,γ射线的穿透能力最强,电离能力最弱.故C正确.D、α衰变后,电荷数少2,质量数少4,知质子数少2,中子数少2.故D正确.E、半衰期由原子核内部因素决定,与原子核所处的物理环境和化学状态无关.故E错误.故选:BCD.点评:本题考查了半衰期、衰变的实质、射线的性质等基础知识点,难度不大,关键要熟悉教材,牢记这些基础知识点.2、试题分析:波速是由介质决定的,两列声波在同一空间的空气中沿同一方向传播,波速相同.由图读出波长关系,由v=λf研究频率关系.根据干涉和衍射产生的条件分析能否产生稳定的干涉现象和衍射现象,并根据多普勒效应,来确定接收频率的变化关系.解:A、两列声波在同一空间的空气中沿同一方向传播,波速相同.故A错误.B、由图读出声波1和声波2波长之比为λ1:λ2=2:1,由v=λf得到两波频率之比为f1:f2=1:2.故B正确;C、波长越长,波动性越强,所以相对于同一障碍物,波1比波2更容易发生衍射现象.故C正确.D、由v=λf得到两波频率之比为f1:f2=1:2.耐两列波发生干涉的必要条件是频率相同,所以在这两列波传播的方向上,不会产生稳定的干涉现象.故D正确.E、当远离两个声源时,观察者接收到这两列波的频率比从声源发出时的频率小.故E错误.故选:BCD.点评:本题考查基本的读图能力.对于波的三个物理量抓住:波速是由介质决定的,频率是由波源决定的.波长由介质和波源共同决定.3、试题分析:温度是分子平均动能的标志,温度越高,分子平均动能越大;布朗运动是固体小颗粒的运动,但它能说明液体分子在永不停息地做无规则运动;分子力做正功时,分子势能减小;分子力做负功时,分子势能增大;热量可以自发地从高温物体传递给低温物体,但不会自发地从低温物体传递到高温物体,除非引起其他变化;气体分子间距离较大,不能用N A求出分子的体积.解:A、气体放出热量时,如果外部同时有力对气体做功,则气体内能可能增加,则气体的温度增加,分子平均动能可能增加;故A正确;B、布朗运动是固体小颗粒的运动,它是分子无规则运动的反映;故B正确;C、当分子间是斥力时,分子力随距离的减小而增大;分子力做负功,故分子势能也增大;故C正确;D、热量可以从低温物体传到高温物体,只不过会引起其方面的变化;故D错误;E、气体分子间距离较大,故不能直接用阿伏加德罗常数求出分子的体积,只能求每个分子所占距的空间;故E错误;故选:ABC.点评:本题考查温度、布朗运动、分子间作用力、气体的性质等,要注意热力学第二定律中由低温物体可以传到高温物体,如生活中的空调、冰箱等.4、试题分析:本题分析通过金属杆的受力情况,来判断金属杆运动情况.金属杆上滑过程和下滑过程回路中均有电热产生,金属杆从底端滑上去再滑回底端高度不变,金属杆的重力势能不变,只有动能转化为电热,故金属杆再滑回底端时速度(设为v2)必然小于初速度,即v2<v0,所以上滑阶段的平均速度大于下滑阶段的平均速度.从而判断时间关系.根据同一位置,上滑和下滑的速度大小关系,判断安培力的大小关系,即可分析克服安培力做的功关系.由功能关系分析热量关系.电荷量由公式q=分析.解:A、金属杆在滑行过程中,受到安培力阻力作用,机械能不断减小,所以经过同一位置时,上滑的速率大于下滑的速率,则上滑过程平均速率大于下滑过程的平均速率,而两个过程通过的位移大小相等,所以向上滑行的时间小于向下滑行的时间,故A错误.B、经过同一位置时上滑的速率大,杆受到的安培力大,则向上滑行过程中克服安培力做的功大,故B正确.C、杆克服安培力做的功等于电阻R上产生的热量,则知向上滑行过程中电阻R上产生的热量多,故C错误.D、上滑和下滑两个过程中,回路磁通量的变化量相等,由公式q=分析可知向上滑行过程中通过电阻R的电荷量等于向下滑行过程中通过电阻R的电荷量,故D正确.故选:BD点评:解决这类问题的关键时分析受力,进一步确定运动性质,并明确判断各个阶段及全过程的能量转化.掌握感应电荷量经验公式q=,并能正确运用.5、试题分析:通过宇宙速度的意义判断嫦娥三号发射速度的大小.根据卫星变轨原理分析轨道变化时卫星是加速还是减速.在同一椭圆轨道上根据引力做功的正负判断速度的变化.在不同轨道上经过同一点时卫星的加速度大小相同.解:A、卫星在轨道1上的P点处减速,使万有引力大于向心力做近心运动,才能进入轨道2,故A正确.B、嫦娥三号发射出去后绕地球做椭圆运动,没有离开地球束缚,故嫦娥三号的发射速度大于7.9km/s,小于11.2km/s,故B错误.C、卫星做椭圆轨道运动时,从远月点P向近月点Q运动中,月球对卫星的引力做正功,故速度增大,即在轨道2经过P点时速度小于Q点速度,故C错误.D、在A点嫦娥三号卫星产生的加速度都是由万有引力产生的,因为同在A点万有引力大小相等,故不管在哪个轨道上运动,在A点时万有引力产生的加速度大小相等,故D 正确.故选:AD.点评:本题要理解卫星变轨原理,嫦娥三号在轨道1上做圆周运动万有引力等于向心力,要进入轨道2需要做近心运动,使得在P点所受万有引力大于圆周运动向心力,因为同在P点万有引力不变,故嫦娥三号只有通过减速减小向心力而做近心运动进入轨道2.6、试题分析:卡文迪许通过扭秤实验测出了引力常量;丹麦物理学家奥斯特最早发现了电流的磁效应.密立根通过油滴实验测定了元电荷的数值.解:A、卡文迪许最先利用扭秤实验较精确测出万有引力常量G.故A错误.B、丹麦物理学家奥斯特最早发现了电流的磁效应即电生磁的现象.故B错误.C、牛顿第一定律是利用逻辑思维对事实进行分析的产物,不能用实验直接验证,故C 正确.D、密立根通过油滴实验比较精确地测定了电荷量e的数值,故D正确.故选:CD点评:本题考查物理学史,对于物理学上重大发现、发明、著名理论要加强记忆,注重积累.7、试题分析:汽车做圆周运动,靠重力和支持力的合力通过向心力,结合牛顿第二定律判断支持力的变化;对驾驶员研究,径向的合力通过向心力,根据牛顿第二定律进行分析.解:A、根据牛顿第二定律得:,解得:N=Mg﹣,速度越大,汽车所受的支持力越小,则汽车对地面的压力越小.故A错误.B、对驾驶员分析,根据牛顿第二定律得:,N=mg﹣,知驾驶员对座椅压力的大小都不大于他自身的重力.故B正确.C、速度不大时,驾驶员靠重力和支持力的合力提供向心力,当v=时,靠重力提供向心力,此时汽车对地面的压力为零,驾驶员处于失重状态.故C、D错误.故选:B.点评:解决本题的关键知道圆周运动向心力的来源,结合牛顿第二定律进行求解.8、试题分析:对小球2受力分析,小球2受重力、支持力、库仑力,根据三角形相似判断各个力的大小关系,结合库仑定律计算带电量的大小.解:AB、对小球2受力分析,如图所示,小球2受重力、支持力、库仑力,其中F1为库仑力F和重力mg的合力,根据三力平衡原理可知,F1=F N.由图可知,△OAB∽△BFF1设半球形碗的半径为R,AB之间的距离为L,根据三角形相似可知,即所以F N=mg﹣﹣﹣﹣①﹣﹣﹣﹣②当小球2处于C位置时,AC距离为,故,根据库仑定律有:所以,即小球在C位置时的电量是B位置时电量的八分之一,故AB均错误.CD、由上面的①式可知F N=mg,即小球2在B点对碗的压力大小等于小球2在C点时对碗的压力大小,故C正确、D错误.故选:C.点评:本题要能正确的对小球2进行受力分析,根据三角形相似原来,寻找各个力之间的大小关系.9、试题分析:变压器原副线圈的电压之比等于匝数之比,电流之比等于匝数之反比;根据升压变压器的输出电压等于降压变压器的输入电压和电压损失之和,得出U1、U2的关系.当用户增多时,用户端总电阻变小,电流变大,结合输电线上电压损失的变化得出降压变压器输出电压的变化.解:A、设输电线中的电流为I,则,,可知I1=I2.故A正确.B、因为输电线上有电压损失,所以升压变压器的输出电压和降压变压器的输入电压不等,根据变压器电压之比等于匝数之比知,U1≠U2.故B错误.C、用户越多,用户端的总电阻越小,电流I2越大,则输电线上的电流越大,升压变压器原线圈的电流越大,输电线上的电压损失越大,降压变压器的输入电压变小,则输出电压U2越小.故C、D错误.故选:A.点评:解决本题的关键知道:1、变压器原副线圈电压之比、电流之比与匝数比的关系,2、升压变压器输出电压、降压变压器输入电压、电压损失的关系.10、试题分析:物体做平抛运动,根据运动的分解和合成的规律将其分解为水平方向的匀速直线运动和竖直方向的自由落体运动,然后根据运动学公式和机械能守恒定律进行分析.解:A、重力的瞬时功率为P=mgv y=mg2t,所以P与t成正比,故A正确;B、平抛运动机械能守恒,所以E不随t变化,故B错误;C、平抛运动的加速度为g,速度的变化量△v=gt,所以△v与t成正比,故C正确;D、速度方向与水平方向的夹角为θ,则,所以tanθ与时间成正比,故D正确.本题选错误的,故选:B点评:本题关键是明确物体的运动可以分解为水平方向的匀速直线运动和竖直方向的自由落体运动,然后结合机械能守恒定律和功率的表达式列式分析.11、试题分析:根据位移时间公式求出加速度的大小,结合牛顿第二定律求出聂海胜的质量.解:根据x=得,a=,根据牛顿第二定律得,F=ma,解得m=.故D正确,A、B、C错误.故选:D.点评:本题考查了牛顿第二定律和运动学公式的基本运用,知道加速度是联系力学和运动学的桥梁.12、试题分析:1、根据灯泡的额定电压及功率可得出通过灯泡的电流,则可选择电流表;根据实验的接法及滑动变阻器的应用可选出滑动变阻器;2、根据实验的原理可选了正确的滑动变阻器及电流表的接法;3、根据电路中的现象,利用电路原理可知哪个地方发生了断路;4、电流表外接法,由于电压表的分流作用,使电流表测的电流大于流过电阻的电流,。
贵州省贵阳市第一中学2014届高三第五次月考语文试卷
第1卷 阅读题 甲 必考题 一、 现代文阅读(9分,每小题3分)阅读下面的文字,完成13题美学不应该脱离生活 朱志荣 任何学术,不管多么艰深,都要落实到具体、纷繁复杂的现象中去。
作为一门学科,美学当然不能只是停留在各种现象的浅层和表面,而必须上升到理论层次,但它同时也必须能够解释日常生活中的各种具体、感性的现象。
美学作为一门科学确实不能庸俗化,它是研究学理性问题的,不是一门指导人们如何获取感官享受的庸俗化科学。
但是,美学的学理研究也必须面对现实的时尚,必须能够指导具体的审美活动,指导人们的梳妆、打扮、抹口红生活中的审美欣赏。
美学的原理必须与审美现象相适应,必须能够解释日常生活中的审美现象。
对于审美问题的研究,必须重视日常生活中的审美现象,把审美活动和对它的研究推向崭新的领域和境界。
审美活动最早起源于修饰,但如果修饰的目的仅仅停留在视觉的生理快感效果上,显然还不是审美活动。
在现实生活中,享乐是多层次的,审美愉悦也是一种享乐。
但审美愉悦是感官享乐和精神享乐的统一,而且只有实现了感官与精神愉悦的统一,感官的快适才可能是审美的愉悦。
纯感官的世俗享乐,包括视听之乐,以及味觉甚至嗅觉的快感,必须具有精神性或社会性的价值,才可能称其为审美的快感。
审美观有鲜明的民族性例如对青蛙的评价,根据俄国近代学者车尔尼雪夫斯基的说法,俄罗斯人觉得青蛙的形状“使人不愉快”,何况这种动物身上还覆盖着冰冷的黏液。
而中国人长期以来都认为它姿态优美,动作敏捷,更有那清脆的叫声,从中可以联想到丰收之景。
历史上就有很多名句传颂:“蛙声十里出山泉”、“稻花香里说丰年,听取蛙声一片”。
我们不能说美只是对象的自然属性,因此中国人和俄罗斯人必有一者是错的。
从客观上说,青蛙的确能使中国人获得精神享受,又的确使俄罗斯人讨厌、反感。
从社会发展的潮流来说,进步的审美观念总是在取代过去错误的审美观念。
在本民族的范围内,乃至世界范围内,对审美趣味进行优胜劣汰是应该的。
贵州省贵阳市第一中学2014届高三第六次月考英语试题及答案
贵阳市第一中学2014届高三第六次月考英语试题本试卷分第Ⅰ卷和第II卷两部分,满分120分。
考试用时100分钟。
第Ⅰ卷(共85分)注意事项:1.答题前,考生务必用黑色碳素笔将自己的姓名、准考证号、考场号、座位号在答题卡填写清楚,并请认真填涂准考证号。
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,用橡皮擦擦干净后,再选涂其他答案标号。
在试题卷上作答无效。
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)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,并在答题卡上将该项涂黑。
ALondon’s Millennium Dome closed its doors on Sunday evening. In the past year people argued about the public funds spent on it and about the low attendance.The huge tent-like structure at Greenwich on the south bank of the Thames River was run by the New Millennium Experience Company (NMEC). The company allowed only 27,000 people to enter on the final day, after 37,000 visited it on Saturday.The total attendance for the year was around 6.5 million. The lowest monthly attendance was in January when only 366,420 visited the Dome.A single ticket to the Dome cost 20 pounds (US$30). But the attendance figure included thousands of children on free school visits. Others took advantage of a special 57 pounds for five people offer.Many traveled to London especially to seize their last chance to see the Body Zone. Body Zone is a collection of blue diamonds with the huge Millennium Star at its center.The Japanese bank Nomura was to have taken over the structure to run it as a leisure venture. But it withdrew last October because of lack of financial data.Among visitors on the last day, were Prime Minister Tony Blair’s wife Cherie and three of their children, Euan, 16, Nicky, 15, and Kathryn, 12.2. According to the article, a special ticket price offer was .A. a group of one thousand school children can be admitted for freeB. 57 pounds for five peopleC. US $ 30 eachD. 20 pounds each3. Japanese bank Nomura gave up bidding for the structure last Octoberbecause .A. there was not enough financial dataB. the New Millennium Experience Company was competing with itC. there was public argument about the DomeD. the Japanese bank Nomura was to run it as a leisure venture4.Tony Blair’s wife Cherie visited the Dome on .A. FridayB. SaturdayC. SundayD. MondayBLet’s pretend we’re sailing down the Rhine River on a pleasure boat. The Rhine is one of the main waterways of Germany, and the river traffic is heavy. It’s interesting to watch many boats going up and down the river. But the river traffic is not nearly so interesting as the beautiful scenery along the banks and hillsides. The boat is passing many old castles. We can see people working in the vineyards(葡萄园)on the hillsides. There are vineyards as far as the eye can see. Wine from the Rhine Valley is famous all over the world.Suddenly our boat slows down and begins to turn a little. We are coming to a sharp bend in the river. On our right we can see a rocky cliff over 400 feet high. Atfirst it looks quite ordinary, but there is nothing ordinary about it. There are many stories, poems, and songs about the cliff. We are looking at the Lorelei.Then someone on the boat begins to sing in German, the song of the Lorelei. It is a song about a beautiful siren(美女)who has lured many sailors to their deaths.The siren is supposed to sit on the rock combing her long golden hair and singing. The sailors who hear her song forget to steer, and the current of river hurls their boats on the rocks and dashes them to pieces.Soon other people on the boat begin to sing. The beautiful song adds to special magic to the moment, and you begin to realize why so many people have made this trip down the Rhine to see the rock of the Lorelei.5. The more interesting thing to those who are sailing down the Rhine River on apleasure boat is .A. to watch many boats going up and down the riverB. to see the beautiful scene along the banks and hillsidesC. to hear a song about beautiful sirenD. to see a beautiful siren combing her golden hair6. Which of the following is famous all over the world?A. The Rhine River.B. The River Traffic.C. Wine from the Rhine Valley.D. The Lorelei.7. We can see a rocky cliff over 400 feet high .A. on our right when coming to a sharp bendB. on the Rhine hillsidesC. from the Rhine ValleyD. on the boat8. The song of the Lorelei is about .A. the Rhine wineB. a rocky cliffC. the beautiful scenery along the Rhine RiverD. a beautiful and dangerous beautyCHappy April Fool’s DayIn celebration of the day, we have put together a list of some of the greatest hoaxes in history .They are the lies that have been designed for innocent people who are ready to believe them.INSTANT COLOR TVIn 1962 there was only one TV channel in Sweden, and in broadcast in black and white. The station’s technical expert, Kjell Stensson , appeared on the news to announce that thanks to a newly developed technology, all viewers could now quickly and easily transform their existing sets to display color reception. All they had to do was pull a nylon stocking over their TV screen, and they would begin to see their favorite shows in color. Reportedly, hundreds of thousands of people were taken in. Actual color TV transmission only started to appear in Sweden on April 1, 1970.SAN SERRIFFEIn 1977 the British newspaper The Guardian published a special seven-page supplement(增刊)in honor of the tenth anniversary of San Serriffe, a small republic located in the Indian Ocean. A series of articles affectionately described the geography and culture of this unknown nation. The Guardian’s phones rang all day as readers asked for more information about the beautiful holiday spot. Few noticed that everything about the island was made up.NIXON FOR PRESIDENTIn 1992 American National Public Radio’s Talk of the Nation program announced that Richard Nichard Nixon, in a surprise move, was running for President again. His new campaign slogan was, “I didn’t do anything wrong, and I won’t do it again.” Accompanying this announcement were audio clips(片断)of Nixon delivering his election speech. Listeners responded immediately to the announcement, flooding the show with calls expressing shock and anger. Only during the second half of the show did the host John Hockenberry reveal that the announcement was a practical joke, Nixon’s voice was copied by comedian Rich Little.9. Which of the following countries is NOT mentioned in the text?A. IndiaB. the UKC. the United StateD. Sweden10. Who worked as a host on the radio?A. Kjell StenssonB. Rich LittleC. Richard NixonD. John Hockenberry11. When did the small republic San Serriffe come into being?A. In 1962B. In 1977C. In 1992D. Never12. Where can we probably read this article?A. In an ad.B. In a magazine.C. In a novel.D. In a textbook.DA man may usually be known by the books he reads as well as by the company he keeps. One should always live in the best company, whether it be of books or of men.A good book may be among the best of friends. It is the most patient and cheerful of companions. It always receives us with the same kindness; amusing and instructing us in youth, and comforting us in age.Men often discover their similarity to each other by the common love they have for a book just as two persons sometimes discover a friend by the admiration which both entertain for a third. There is an old proverb, “Love me, love my dog.” But there is more wisdom in this: “Love me, love my book.” The book is a truer and higher bond(纽带) of union. Men can think, feel, and sympathize with each other through their favorite author. They live in him together, and he in them.A good book is often the best container of a life preserving the best that life could think out; for the world of a man’s life is, for the most part, but the world of his thoughts. Thus the best books are treasuries of good words, the golden thoughts, which become our steady companions and comforters.Books are by far the most lasting products of human effort. Temples and statues decay(腐朽), but good books survive. Time is of no account with great thoughts, which are as fresh today as when they first passe d through their author’s minds ages ago.The great and good do not die, even in this world. Preserved in books, their spirits walked abroad. The book is a living voice. It is an intellect(智者) to which one still listens.13.The writer introduces the topic of the passage by .A. describing life experience of great writersB. telling his own story of reading good booksC. presenting the best thoughts in good booksD. comparing good books to good friends in life14.What does the underlined sentence in Paragraph 3 mean?A. Readers feel sympathy for the author.B. Readers live together with the author.C. Readers and the author share the same feeling.D. Readers are the author’s companions and comforters.15.The passage mainly tells us that .A. one should have some good friendsB. one should read as many books as possibleC. one should keep company with good booksD books are the most lasting products of human efforts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。
高三数学月考试题及答案-贵阳一中2014届高三第五次适应性月考(理)
贵州省贵阳一中2014届高三第五次适应性月考(理)第Ⅰ卷(选择题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{}sin ,A y y x x R ==∈,集合{}lg B x y x ==,则()R C A B =( )(1,)A +∞、 [)1,B +∞、 []1,1C -、(,1)(1,)D -∞-+∞、2、已知i 为虚数单位,复数122iz i-=-,则复数z 的虚部是( )A 、35i -B 、35-C 、45iD 、45由资料可知y 和x 呈线性相关关系,由表中数据算出线性回归方程ˆˆˆy bx a =+中的ˆ123,b =.据此估计,使用年限为10年时的维修费用是( )万元. A 、12.18 B 、12.28 C 、12.38 D 、12.484、若某棱锥的三视图(单位:cm)如图所示,则该棱锥的体积等于( )A 、10 cm 3B 、20 cm 3C 、30 cm 3D 、40 cm 35、已知,m n 为异面直线,m ⊥平面α,n ⊥平面β,直线l 满足,,,l m l n l l αβ⊥⊥⊄⊄,则以下命题正确的个数是()(1)α∥β且l ∥α(2)αβ⊥且l β⊥(3)α与β相交,且交线垂直于l (4)α与β相交,且交线平行于lA 、0个B 、1 个C 、2个D 、3个6、若111a b<<,则下列结论中不正确的是( ) log log a b A b a >、log log 2a b B b a +>、2(log )1b C a <、log log log log a b a b D b a b a +>+、7、已知y x ,满足⎪⎩⎪⎨⎧≤+≥≥511y x y x 时,)0(>≥+=b a b y a x z 的最大值为1,则b a +的最小值为( )A 、7B 、8C 、9D 、108、如图所示,用模拟方法估计圆周率π的程序框图,P 表示估计结果,则图中空白框内应填入( )A 、1000N P =B 、41000NP =C 、1000M P =D 、41000MP =9、在ABC ∆中,,,a b c 分别是角,,A B C 的对边,若2222014a b c +=,则2tan tan tan (tan tan )A BC A B ⋅+的值为( )A 、0B 、1C 、2013D 、201410、平行四边形ABCD 中,AB ·BD =0,沿BD 折成直二面角A BD C --,且22421AB BD +=,则三棱锥A BCD -的外接球的表面积为( )A 、2πB 、4πC 、48πD11、已知椭圆: 22221(,0)x y a b a b+=>和圆O :222b y x =+,过椭圆上一点P 引圆O 的两条切线,切点分别为B A ,. 若椭圆上存在点P ,使得0PA PB ⋅=,则椭圆离心率e 的取值范围是( )A 、)1,21[B 、]22,0( C 、]22,21[ D 、)1,22[12、已知R 上的函数()y f x =,其周期为2,且(]1,1x ∈-时2()1f x x =+,函数1sin (0)()11(0)x x g x x xπ+>⎧⎪=⎨-<⎪⎩,则函数()()()h x f x g x =-在区间[]5,5-上的零点的个数为( )A 、11B 、10C 、9D 、8第Ⅱ卷(非选择题,共90分)注意事项:本卷包括必考题和选考题两部分。
贵州省贵阳市第一中学2014届高三第六次月考政治试卷.pdf
A.①③
B.②④
C.①④
D.③④
22. 历史上,海南曾因地处边陲而被视为“化外之地”;在明代,海南因航海和卫戍的需要而受到重视,被称为
“南溟奇甸”。改革开放以后,在国家发展战略布局下,海南成为全国最大经济特区,海南地位空前提高。海南的发展
历史表明
①整体统率部分,部分的发展服从和服务于整体
,着力清除市场壁垒,提高资源配置效率和公平性。
(2)分析图表一和图表二之间内在的经济联系。结合材料二,从经济生活角度简要说明应如何坚持社会主义市场
经济改革方向?(14分)
39.(26分)阅读下列材料,回答问题。
被列入《世界文化遗产名录》的都江堰,是我国古代建设并使用至今的大型水利工程,被誉为“世界水利文化的鼻
社会主义市场经济体制必须遵循这条规律,着力解决市场体系不完善、政府干预过多和监管不到位问题。必须积极稳妥
从广度和深度上推进市场化改革,推动资源配置依据市场规则、市场价格、市场竞争实现效益最大化和效率最优化。必
须加快形成企业自主经营、公平竞争,消费者自由选择、自主消费,商品和要素自由流动、平等交换的现代市场体系
测序和草图绘制。几乎所有的特征都已经被发现,但是理解它们之间的联系则需要进行真正的努力,从而用一种不同的
方法测量这一基因组。这表明
①人的意识能够正确反映客观存在
②在实践的基础上人们能把握事物的终极真理
③真理是一个由不正确到正确的逐渐发展过程
④人们对真理的探索是上升的,波浪式前进的过程
定繁杂的环保公约、法律、法规和标准、标志等形式对国外商品进行的准入限制。它属于一种新的非关税壁垒形式。
①积极培育保护环境的绿色产业 ②依靠科技创新研发绿色产品
③尽量减少出口以避免贸易摩擦 ④利用世贸组织规则积极应对
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贵阳市第一中学2014届高考适应性月考卷(一) 理科数学 (2013.11)
一.选择题
1. 设U=R ,集合A={y ׀y=2x ,x ∈R},B={x ∈Z ׀x 2- 4≤0},则下列结论正确的是 (A) A ⋃B=(0,+∞) (B) (C U A)⋃B=(- ∞,0] (C) (C U A)⋂B={-2,-1,0} (D)(C U A)⋂B={1,2}
2. 在复平面内,复数
i
-3i
(i 是虚数单位)对应的点在 (A)第一象限 (B) 第二象限 (C)第三象限 (D)第四象限
3. 设p :1-x 2≤1,q :(x-a )()[]1a -x +≤0,若q 是p 的必要而不充分的条件,则实数a 的取值范围是
(A) ⎥⎦
⎤⎢⎣⎡210, (B) (0,2
1) (C)( - ∞,0]⋃[
21, +∞) (D)( - ∞,0)⋃(2
1
,+∞)
4. 函数f (x )=2x
+3x 的零点所在的一个区间是
(A) (-2,-1) (B) (0,1) (C)(-1,0) (D)(1,2)
5. 等差数列{a n }的前n 项和为s n ,a n-3=10(n >7),s 7=14,s n =72,则n= (A)12 (B) 11 (C)13 (D) 10
6. 在△ABC 中,AC=7,BC=2,B=60o
,则BC 边上的高等于
(A)
23 (B) 233 (C) 263+ (D)4
39
3+
7. 将曲线y=sin2x 按向量a =(4
π
,-1)平移后得到曲线的方程为
(A) y=sin (2x+
4
π
)- 1 (B) y=sin (2x -
4
π
)- 1
(C) y=cos2x+1 (D) y=-cos2x - 1
8. 某几何体的三视图如右图所示,则该几何体的外接球的表面积为 (A) 4π (B) 5π (C) 8π (D)10π
9. 由直线x=-3
π
,x=
3
π
,y=0与曲线y= cosx 所围成的封闭图形的面积为
(A)
2
1
(B) 1 (C) 2
3
(D) 3
10. 函数y=f (x )在定义域(-
2
3
,3)内可导,其图像如下图所示,记y=f (x )的导函
数为f /(x),则不等式f /
(x)≤0的解集为
(A) [-31,1]⋃[2,3] (B) [-1,21]⋃[34,38] (C) [-23,21]⋃[1,2] (D) (- 23,-1]⋃[21,34]⋃[3
8,3)
11. 函数f (x )=
1-2
x
,若a <b <c ,且f (a )>f (c )>f (b ),则下列结论成立的
是
(A)a <0,b <0,c <0 (B)a <0,b ≥0 c >0 (C)2
-a
<2c (D) 2a +2c <2
12. 已知双曲线C:1b
y a x 2
2
22
=— (a >0,b >0)的右焦点为F,过F 且斜率为3的直线交C
于A,B 两点,若AF =4FB ,则C 的离心率为
(A)
56 (B) 57
(C) 85 (D)5
9
二.填空题
13. 在可行域内任取一点,规则如下图所示,则能输出数对(x,y)的概率是 。
14.
为给定。
若由不等式组上的区域已知平面直角坐标系),(2220y x M y x y x D xOy ⎪⎩
⎪
⎨⎧≤≤≤≤
的最大值为,则的坐标为上的动点,点OA OM z A D ⋅=)1,2( 。
15. 将甲,乙,丙三位同学安排在编号为1到5的5个教室中参加某项活动,每个人安排一个教室,且每个教室至多安排1人,并要求甲安排的教室编号在另外两位安排的教室编号后面,则不同的安排方法共有 种 。
16. 已知等比数列 {a n } 的公比q <0,a 2=- 6,a 3+a 4=-12,若存在正整数n ,使得s n ≥1001,则n 的最小值为 。
三.解答题
17. 已知函数 f (x )=2cos 2
x+23sinxcosx+a,a 为常数。
(Ⅰ) 求函数f (x )的最小正周期; (Ⅱ)若f (x )在⎥⎦⎤
⎢⎣
⎡36-ππ,上最大值与最小值之和为3,求a 的值。
18. 如图,正方形ADEF 与梯形ABCD 所在平面互相垂直,AD ⊥CD,AB ∥CD,AB=AD=2
1
CD=2,点M 在线段EC 上且不与E,C 重合。
(Ⅰ) 当点M 是EC 中点时,求证:BM ∥平面ADEF; (Ⅱ)当平面BDM 与平面ABF 所成锐二面角的余弦值是
6
6
时求三棱锥M-BDE 的体积。
19.甲同学在研究性学习中,收集到某水厂今年前5个月矿泉水生产产量(单位:万瓶)的数据如下表所示
月份x 1 2 3 4 5
y(万瓶) 4 4 5 6 6
(Ⅰ) 甲同学为了求出y关于x的线性回归方程∧
y=
∧
b x+
∧
a,根据表中数据已经正确算出
∧
b=0.6,试求出∧
a的值,并估计该厂6月份生产矿泉水产量数;
(Ⅱ)若某商店现有该水厂今年二月份生产的矿泉水4瓶和三月份生产的矿泉水5瓶,甲同学从中随机购买了三瓶,后经了解发现该水厂今年二月份生产的所有矿泉水均存在质量问题。
记甲同学所买的3瓶矿泉水中存在质量问题的瓶数为X,求X的分布列和数学期望。
20. 已知椭圆的两个焦点F 1,F 2在y 轴上,短轴长为22,离心率为
2
2
,点P 是椭圆上的一点,且在第一象限内,PF 1•PF 2=1,过点P 作关于PF 1对称的两条直线PA,PB,分别交椭圆于A,B 两点。
(Ⅰ) 求P 点坐标;
(Ⅱ)求证:直线AB 的斜率为定值。
21. 已知函数f (x )=
lnx x -1a x
1)
(+ 。
(Ⅰ) 设a=1,讨论f (x )的单调性。
(Ⅱ)对任意x ∈(0,1),f (x )<-2,求实数a 的取值范围。
22. 如图,延长 ⊙O 的半径OA 到B,使OA=AB ,DE 是圆的一条切线,E 是切点,过点B 作DE 的垂线,垂足为C. 求证:∠ACB=
3
1
∠OAC 。