2017-2018学年交大附中高三上第一次月考试卷
上海市交大附中2017-2018学年高一上学期第一次月考数
上海交通大学附属中学2017-2018学年度第一学期高一数学月考一 试卷一、填空题(1-6题每题4分,7-12题每题5分)1. 用列举法表示方程22320,x x x R --=∈的解集是____________.2. 已知集合2{1,},{1,}A m B m =-=,且A B =,则m 的值为____________.3. 设集合{1,2,6},{2,4},{|15,}A B C x x x R ===-≤≤∈,则()A B C =____________.4. 已知关于x 的一元二次不等式20ax x b ++>的解集为(,2)(1,)-∞-+∞,则a b -=____________.5. 设集合{}3(,)|1,(,)12y U x y y x A x y x ⎧-⎫==+==⎨⎬-⎩⎭,则U A =ð____________.6. 不等式21x≥+____________. 7. 已知x R ∈,命题“若25x <<,则27100x x -+<”的否命题是____________.8. 设[]:13,:1,25x x m m αβ-≤≤∈-+,α是β的充分条件,则m ∈____________.9. 若对任意x R ∈,不等式22(1)(1)10a x a x ----<恒成立,则实数a 值范围是____________.10. 向50名学生调查对A 、B 两事件的态度,有如下结果:赞成A 的人数是全体的五分之三,其余的不赞成,赞成B 的比赞成A 的多3人,其余的不赞成;另外,对A 、B 都不赞成的学生数比对A 、B 都赞成的学生数的三分之一多1人. 问对A 、B 都赞成的学生有____________人11. 设[]x 表示不超过x 的最大整数(例如:[5.5]5,[ 5.5]6=-=-),则2[]5[]60x x -+≤的解集为____________.12. 已知有限集123{,,,,}(2)n A a a a a n =≥. 如果A 中元素(1,2,3,,)i a i n =满足1212n n a a a a a a =+++,就称A 为“复活集”,给出下列结论:①集合⎪⎪⎩⎭是“复活集”; ②若12,a a R ∈,且12{,}a a 是“复活集”,则124a a >; ③若*12,a a N ∈,则12{,}a a 不可能是“复活集”; ④若*i a N ∈,则“复活集”A 有且只有一个,且3n =.其中正确的结论是____________.(填上你认为所有正确的结论序号) 二、选择题(每题5分)13. 若集合P 不是集合Q 的子集,则下列结论中正确的是( )A. Q P ⊆B. PQ =∅ C. P Q ≠∅ D. P Q P ≠14. 集合{}*|4|21|A x x N =--∈,则A 的非空真子集的个数是( )A. 62B. 126C. 254D. 51015. 已知,,a b c R ∈,则下列三个命题正确的个数是( ) ①若22ac bc >,则a b >;②若|2||2|a b ->-,则22(2)(2)a b ->-③若0a b c >>>,则a a cb b c+>+; ④若0,0,4,4a b a b ab >>+>>,则2,2a b >>A. 1B. 2C. 3D. 416. 若实数,a b 满足0,0a b ≥≥且0ab =,则称a 与b 互补,记(,)a b a b ϕ=-,那么(,)0a b ϕ=是a 与b 互补的( ) A. 必要而不充分的条件 B. 充分而不必要的条件C. 充要条件D. 既不充分也不必要条件三、解答题17. (本题满分14分)已知关于x 的不等式250ax x a-<-的解集为M (1)4a =时,求集合M ;(2)若3M ∈且5M ∉,求实数a 的取值范围18. (本题满分14分)解关于x 的不等式2(2)(21)60a x a x -+-+>19. (本题满分16分)已知函数()|1||2|f x x x =+-- (1)求不等式()1f x ≥的解集;(2)若不等式2()f x x x m ≥-+的解集非空,求m 的取值范围20. (本题满分14分)某商场在促销期间规定:商场内所有商品标价的80%出售,同时,当顾客在该商场内消费满一定金额后,按如下方案获得相应金额的奖券:根据上述促销方法,顾客在该商场购物可以获得双重优惠,例如,购买标价为400元的商品,则消费金额为320元,获得的优惠额为:4000.230110⨯+=(元),设购买商品得到的优惠率=购买商品获得的优惠额商品的标价。
上海交通大学附属中学2017-2018学年度第一学期 高一数学月考二试卷
上海交通大学附属中学2019-2019学年度第一学期高一数学月考二试卷一、填空题1.已知集合, , 则____________2.函数的定义域为____________3.已知, , 则____________4.函数的值域为____________5.若抛物线恒在直线上方, 则实数的取值范围为____________6.不等式的解集为, 则实数的取值范围是____________7.若, 则满足的的取值范围____________8.已知函数, , 若的图象关于轴对称, 则____________9.若函数在上的值域为,则____________10.密码学是一种密写技术,即把信息写成代码的技术。
将信息转换成保密语言的过程叫编码;有保密形式语言道出原始信息的过程称作译码。
凯撒(Julius Caesar公元前100~前44年)曾使用过一种密码系统, 现称为凯撒暗码。
按照这种系统的规划, 原始信息的字母都用另一字母代替, 后者在标准字母表中的位置比前者靠后三位(即暗码~原码后移3个位置)。
如: 标准字母表: ABCDEFGHIJKLMNOPQRSTUVWXYZ凯撒暗码表: DEFGHIJKLMNOPQRSTUVWXYZABC这样就将信息“Julius Caesar”编码为“Mxolxv Fdhvdu”当你知道所得到的信息使用凯撒暗码写成的密码时, 译码工作很容易, 只需要把上述过程倒过来进行。
当然现在的密写技术要复杂许多, 这里我构造一种编码技术, 请同学根据编码过程自己破译一下:信息字母与编码后暗语字母的对应法则是:暗码=原码后移后得到的字母(为原码字母在语句中的位置即第几个字母, 若移出字母表则在后面续一张字母表, 其中□为取整符号, 空格不计数。
)那么若一句话的暗码为“Jnrzj PKNl”其原码是____________11.已知为无理数, 其代数式的值为整数, 则____________12.已知,其中,若对任意的非零实数总存在唯一的非零实数,使得成立,则实数的取值范围是____________二、选择题13.小明在期中考后, 对混合验血问题非常感兴趣, 于是他来到数学组办公室, 寻找出卷的鲍老师。
2017-2018年上海市交大附中高三上第一次月考
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2018届交附高三上开学考物理试卷+参考答案+评分标准
上海交通大学附属中学2017-2018学年年度第一学期高三物理暑期作业反馈练习一、单项选择题(共40分,1至8题每小题3分,9至12题每小题4分,每小题只有一个正确选项)1、物理学史上,正确认识运动和力的关系且推翻“力是维持运动的原因”的物理学家,建立惯性定律的物理学家分别是()A.亚里士多德伽利略B.亚里士多德牛顿C.伽利略牛顿D.伽利略爱因斯坦2、物理学中,力的合成、力的分解、平均速度这三者所体现的共同的科学思维方法是()A.比值定义B.控制变量C.等效替代D.理想模型3、做竖直上抛运动的物体,在任意相同时间间隔内,速度的变化量()A.大小相同、方向相同B.大小相同、方向不同C.大小不同、方向不同D.大小不同、方向相同4、手握轻杆,杆的另一端安放有一个小滑轮C,支持着悬挂重物的绳子,如图所示。
现保持滑轮C的位置不变,使杆向下转动一个角度,则杆对滑轮C的作用力将()A.变大B.不变C.变小D.无法确定5、在一根细绳下串联着两个质量不同的小球,下面小球比上面小球质量大,当手提着绳上端沿水平方向使两球一起向右作匀加速运动时(空气阻力不计),下图中能正确表示两球状态的是( )A. B. C. D.6、伽利略创造的把实验、假设和逻辑推理相结合的科学方法,有力地促进了人类科学认识的发展。
利用如图所示的装置做如下实验:小球从左侧斜面上的O点由静止释放后沿斜面向下运动,并沿右侧斜面上升。
斜面上先后铺垫三种粗糙程度逐渐减低的材料时,小球沿右侧斜面上升到的最高位置依次为1、2、3.根据三次实验结果的对比,可以得到的最直接的结论是()A. 如果斜面光滑,小球将上升到与O点等高的位置B. 如果小球不受力,它将一直保持匀速运动或静止状态C. 如果小球受到力的作用,它的运动状态将发生改变D. 小球受到的力一定时,质量越大,它的加速度越小7、如图所示,AC是上端带定滑轮的固定竖直杆,质量不计的轻杆AB一端通过铰链固定在A点,另一端B悬挂一重为G的物体,且B端系有一根轻绳并绕过定滑轮C,用力F拉绳,开始时∠BAC>90∠,现使∠BAC缓慢变小,直到杆AB接近竖直杆AC.此过程中,轻杆B端所受的力()A. 逐渐减小B. 逐渐增大C. 大小不变D. 先减小后增大8、甲、乙两物体静止在光滑水平面上,现对乙施加一变力F,力F与时间t的关系如图所示,在运动过程中,甲、乙两物体始终相对静止,则()A. 在t0时刻,甲、乙间静摩擦力最小B. 在t0时刻,甲、乙两物体速度最小C. 在2t0时刻,甲、乙两物体速度最大D. 在2t0时刻,甲、乙两物体位移最小9、初速度不为零的匀加速直线运动,第1S内和第2S内的位移之比可能为()A. 1:1B.1:2C.1:3D.1:410、图甲是某人站在力传感器上做下蹲、起跳动作的示意图,点P是他的重心位置。
陕西省西安交大附中-度上学期高三英语第一次月考试卷 新课标 人教版
陕西省西安交大附中2006-2007学年度上学期高三英语第一次月考试卷第I卷(共95分)第一部分:英语知识运用(共三节,满分50分)第一节语音知识(共5小题;每小题1分,满分5分)从A、B、C、D四个选项中,找出其划线部分与所给单词的划线部分读音相同的选项,并在答题卡上将该项涂黑。
1.abuse A.quilt B.university C.bush D.accustomed 2.pressure A.conclusion B.Asian C.pleasure D.pleasant 3.butcher A.conclude B.support C.particular D.instrument 4.news A.island B.stops C.bus D.houses 5.stomach A.chicken B.moustache C.character D.sandwich第二节语法和词汇知识(共15小题;每小题1分,满分15分)从A、B、C、D四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。
6.—Each of the students, working hard at their lessons, the book.—So have I.A.is reading B.has read C.reading D.reads7.In order to improve my spoken English, I read English .A.everyday; every day B.every day; everydayC.everyday; everyday D.every day; every day8.It was back home after the experiment.A.not until midnight did he go B.until midnight that he didn’t goC.until midnight when he didn’t go D.not until midnight that he went9.—To tell you the truth, I wouldn’t be happy living in such a small room.—.I do prefer a small room.A.I agree with you. B.It’s OK with me.C.It just depends D.I’d rather not.10.What pleasant surprise! I’ll tell Richard about it minute he comes home.A.a, the B.a, a C.a, / D./, the11.They were completely by the story he .A.taken up, made B.taken off, made notesC.taken in, made up D.taken out, made use of12.—Mr. Lee never said that he hated school when he was a child, ?—But he actually missed school .A.did he, now and then B.didn’t he, in timeC.was he, for once D.wasn’t he, at times13.—It’s cloudy outside. Please take an umbrella.—.A.Yes, take it easy B.OK, just in caseC.Well, it just depends D.All right. You’re welcome14.All he was thinking about was he would do with the big sum of money his father gave him.A.how B.what C.that D.whether 15.Though he was out of breath when he got there, he thought it was worth the effort.A.quite; well B.well; quite C.quite; quite D.well; well 16.Allan’s new MP4 is only about 10cm 8cm 125grams.A.with; weights B.by; weighing C.of; weights D.between; weighing 17.All the things must be done well.A.worth to do B.worthy of being doneC.worthy doing D.worth of doing.18.We had the picture taken stood a leaning tower.A.in the place B.in which C.which D.where19.They suggested that the professor just now chairman of the meeting.A.refer to, was made B.referring to, be madeC.referred to, be made D.referred to, was made20.In no country Britain, as has been mentioned, experience the drastic changes of temperature.A.other than, one can B.apart from, one canC.rather than, can one D.other than, can one第三节完型填空(共20小题;每小题1.5分,满分30分)阅读下面短文,掌握其大意,然后从各题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将该项涂黑Once upon a time, a well-known painter was finishing his painting while standing on the roof of a tall building. It was an incredibly(难以置信的)21painting to be shown during Princess Diana’s wedding.The painter was consumed(吸引住了)by, and 22 with his own painting that he unconsciously took a few steps backward while 23 it. He didn’t 24 and kept on stepping until he was a step away from the 25 of the tall building. Just one more step 26 and he would have fallen to his death.27 , a man who was standing nearby saw what the painter was doing and was about to28 him to warn him but he 29 that his shout might surprise the painter and thus 30 him to accidentally take one step backward and fall down. The man took a 31 and began to paint on the beautiful painting 32 it was completely damaged.33 realizing what was happening to his painting, the painter got very 34 and moved forward to 35 the man. 36 ,some other people who were also present 37 him and showed him that he was about to fall over the edge of the building.38 , we have painted our 39 with such beauty and become too engrossed(全神贯注的)in our own fantasies, but then something seems to destroy our beautiful image. This often happens to 40 us from unseen dangers that lie ahead of us.21.A.lovely B.beautiful C.small D.great 22.A.excited B.surprised C.crazy D.pleased 23.A.looking at B.enjoying C.admiring D.watching 24.A.look down B.look around C.look up D.look back 25.A.edge B.line C.side D.end 26.A.backward B.forward C.upward D.downward 27.A.Surprisingly B.Suddenly C.Quickly D.Hopefully 28.A.shout at B.point at C.shoot at D.laugh at 29.A.recognized B.understood C.knew D.realized30.A.let B.have C.make D.cause 31.A.paper B.brush C.knife D.stick32.A.when B.before C.until D.as33.A.Upon B.In C.To D.With 34.A.surprised B.mad C.angry D.disappointed 35.A.cheer B.please C.greet D.stop36.A.So B.Therefore C.Thus D.However 37.A.fetched B.held C.told D.saved 38.A.Always B.Sometimes C.Usually D.Often 39.A.future B.past C.today D.yesterday 40.A.make B.keep C.prevent D.save第二部分:阅读(共两节,满分45分)第一节阅读下列短文,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。
2017-2018学年上海交大附中高三上英语10月月考试卷
上海交通大学附属中学2017-2018学年度第一学期高三英语10月月考出卷人:陈宇杨珺洁审卷人:程姌(满分150分,答案一律写在网上阅卷答题纸上)I. Listening Comprehension (25’)Section ADirections: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversation and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A. It was moving. B. It was boring.C. It was more interesting than TV programs.D. It was horrible.2. A. 85 dollars. B. 55 dollars. C. 80 dollars. D. 70 dollars.3. A. Her doctor. B. Her husband. C. Her boss. D. Her secretary.4. A. At the luggage claim area. B. At the boarding gate.C. At the reception desk.D. At the Customs.5. A. The library is generally locked on Friday afternoon.B. Something unusual happened in the library on Friday.C. The library should never be locked.D. The man doesn’t have a key to the library.6. A. He came to the meeting. B. He planned the meeting.C. He had no idea about the meeting.D. He hasn’t come to the meeting yet.7. A. Jewels. B. Books C. Shaver. D. Souvenirs.8. A. Buy a new motocycle.B. Buy a second motorcycle.C. Save money for a long time.D. Buy a used motocycle.9. A. In the apartment. B. On the phone.C. In the office.D. Out of the apartment.10. A. Alex works very hard.B. Alex’s pay will be raised next month.C. The woman is unhappy about Alex’s salary.D. Alex will get 3,100 dollars next month.Section BDirections: In Section B, you will hear two short passages, and you will be asked three questions on each of the passage. The passage will be read twice, but the questions will be spoken only once.When you hear a question, read the four possible answers in your paper and decide which one would be the best answer to the question you have heard.Question 11 through 13 are based on the following passage.11. A. Toothbrush. B. Wood. C. Peg. D. Metal.12. A. Because they could make beautiful keys.B. Because they wore some of their keys as rings.C. Because they designed locks and keys that were better at preventing thieves.D. Because they were invited by kings to design castle keys.13. A. By using smartphone apps. B. By using traditional metal keys.C. By using electronic keycards.D. By facial recognition.Questions 14 through 16 are based on the following passage.14. A. They hope to portray the coming date as the trigger of a worldwide disaster.B. They hope to hinder the nation’s $70 billion tourism industry.C. They hope to promote 2012 as the year of the tourist.D. They hope to make the rounds in their northern neighbor.15. A. Hollywood stars. B. Their northern neighbor.C. Old and wealthy Mexicans.D. Old and wealthy Americans.16. A. The Hollywood blockbuster 2012 depicts the doomsday as the spark of a global calamity.B. The Mexican government hopes that the doomsday will boost its tourism industry.C. The Mexican government has urged tourists to visit archaeological sites.D. The Mayan doomsday will bring growth and prosperity to the world.Section CDirections: In Section C, you will hear one longer conversation, and you will be asked four questions on it. The conversation will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Question 17 and 20 are based on the following conversation.17. A. The Thanksgiving party. B. Gary’s farewell party.C. Eating out in a restaurant.D. Sending invitations.18. A. Oct.21st. B. Oct. 28th. C. Oct. 25th. D. Oct.26th.19. A. A book. B. Flowers. C. Dictionaries. D. A football.20. A. Gary. B. The class teacher.C. The classmates.D. The headmaster.II. Grammar and Vocabulary (30’)Section A (20*1’=20’)Directions: After reading the passages below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.(A)A young man was getting ready to graduate from college. For many months he had wanted a beautiful sports car in a dealer’s showroom, and (21) __________ (know) his father could well afford it, he told him that was all he wanted.As Graduation Day came near, the young man expected signs (22) __________ his father had bought the gift. Finally, on the morning of his graduation, his father called him into his own study, and told him how proud he was (23) __________ (have) such a fine son and how much he loved him. He handed his son a beautifully wrapped gift box.Curious and somewhat disappointed, the young man opened the box and found a lovely leather (24) __________ (bind) Bible, with the young man’s name written in gold. Angry, he raised his voice to his father, and said, “With all your money you give me a Bible?” and stormed (25) ________ ________ the house.Many years passed and the young man was very successful in business. He had a beautiful home and wonderful family, (26) __________ realized his father was very old, and thought perhaps he should go to see him. However, (27) __________ he could make arrangements, he received a telegram (28) __________ (tell) him his father had passed away and willed all of his possessions to his son. When he arrived at his father’s, sudden sadness and regret filled his heart. He began to search through his father’s important papers and saw the still new gift-wrapped Bible, just as he (29) __________ (leave) it years ago. With tears, he opened the Bible and began to turn the pages. His father had carefully underlined a verse, Mathew 7-11, “And if you, being evil, know how to give good gifts to your children, how much more shall your Heavenly Father, which is in Heaven, give to those who ask Him?”As he read those words, a car key dropped from the back of the Bible. It had a tag, which (30) __________ (read) the date of his graduation and the words: PAID IN FULL.(B)The need to feed a growing population is putting much pressure on the world's supply of water.(31) __________ 97% of the world's water too salty to be drunk or used in agriculture, the worldwide supply of water needs careful management, especially in agriculture. (32) __________ the idea of a water shortage seems strange to someone fortunate enough to live in a high rainfall country, many of the world's agricultural industries (33) __________ (experience) constant water shortages.Although dams can be built to store water for agricultural use in dry areas and dry seasons, the costs of water redistribution are very high. Not only is there the cost of the engineering itself, but there is also an environmental cost to be considered. (34) __________valleys are flooded to create dams, houses are lost and wildlife homes destroyed. Besides, water may flow easily through pipes to fields, but it cannot be transported from one side of the world to (35) ________ ________. Each country (36) __________ therefore rely on the management of its own water to supply its farming requirements.This is particularly troubling for countries with agricultural industries in areas dependent on irrigation. In Texas, farmers' overuse of irrigation water (37) __________ (result) in a 25% reduction of the water stores. In the Central Valley area of southwestern USA, a huge water engineering project provides water (38) __________ farming in dry valleys, but much of the water use is being poorly managed.Saudi Arabia's attempts (39) __________ (grow) wheat in desert areas have seen the pumping of huge quantities of irrigation water from underground reserves. Because there is no rainfall in these areas, such reserves can only decrease, and it is believed that fifty years of pumping (40) __________ (see) them run dry.Section B (10*1’=10’)Directions: Complete the following passage by using the words in the box. Each word can only beA wise man once said that the only thing necessary for the victory of evil is for good men to do nothing. So, as a police officer, I have some urgent things to say to good people. Day after day my men and I struggle to 41 an epidemic of crimes. Something has gone terribly wrong with our once-proud way of life. It has happened in the area of values. A significant 42 is disappearing, and I think I know what it is: accountability.Accountability isn’t hard to define. It means that every person is r esponsible for his or her actions and liable for their consequences. Of the many values that hold civilization together --- honesty, kindness, and so on --- accountability may be the most important of all. Without it, there can be no respect, no trust, no law --- and, ultimately, no society.My job as a police officer is to 43 accountability on people who refuse, or have never learned, to oblige themselves to do so. But as every policeman knows, external controls on people’s behavior are far less ef fective than internal restraints such as guilt, shame and embarrassment.Fortunately there are still communities --- smaller towns, usually --- where schools maintain discipline and where parents hold up standards that declare: “In this family certain things are not 44 --- they simply are not done!” Yet more and more, especially in our larger cities and suburbs, these inner restraints are 45 . Your typical robber has none. He considers your property his property; he takes what he wants, including your life if you 46 him.The main cause of this breakdown is a radical shift in 47 . Thirty years ago, if a crime was committed, society was considered the victim. Now, in a shocking reversal, it’s the criminal who is considered victimized: by his underprivileged upbringing, by the school that didn’t teach him to read, by the church that failed to reach him with 48 guidance, by the parents who didn’t provide a stable home.I don’t believe it. Many others in equally 49 circumstances choose not to engage in criminal activities. If we free the criminal, even partly, from accountability, we become a society of endless 50 where no one accepts responsibility for anything. We desperately need more people who believe that the person who commits a crime is the one responsible for it.III. Reading Comprehension (15’+22’+8’=45’)Section A (15*1’=15’)Directions: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.A recent survey in the United States showed that the average family spent more money on its pets than on its children. Although this is a rather shocking statistics, it should not 51 anyone who has seen the beautiful doggy bedroom or the quiet shady groves where loved pets rest. It is possible that Americans are unique in treating their little friends in this way, but the information we have suggests that the English, too, are 52 to their pets.This can clearly be seen when we look at pet foods, which often contain more vitamins than human food or, at least, are 53 less nutritious. They certainly cost much. Last year the British public spent two hundred million pounds on pet food alone, 54 veterinary (兽医的) bills or animal furniture. It is difficult not to feel 55 with this when one considers what the same amount could do for victims of starvation and poverty, so it is 56 for me to get hot under the collar when I read an old man left all his money to his dog home.There are a variety of reasons why I find the popularity of British pets 57 . They cause physical problems. An example of this is New York where they have great difficulty getting rid of the mess that dogs leave on the streets. Many people find this funny, but in a number of large cities it is a major problem. Animals can cause disease, too. It is the threat of rabies---a disease with no known cure---that has made the English government impose strict 58 on animals coming into the United Kingdom. When the Spanish government recently 59 a number of homeless dogs as protection against the same threat, English tourist immediately wrote letters to the newspapers 60 about mass murder.Another problem is the 61 of pet owners. Most little children want a dog or a cat, and they continually pester their mothers and fathers until they get one. It is only when the sweet little thing has been brought home that the parents realize how much time and money must be spent on "Rover" or "Bonzo". Then they just 62 it. This brings me to my last point. Pets, which run free, are often not 63 at all. English farmers lose hundreds of sheep a year, killed by someone's pet and you must have read of children being hurt by some pets of their own.64 , I would only suggest that we have got our 65 wrong and that something should be done about it.51. A. alert B. surprise C. disappoint D. interest52. A. hostile B. polite C. subject D. available53. A. seldom B. far C. frequently D. totally54. A. in spite of B. regardless of C. not to mention D. rather than55. A. delighted B. patient C. concerned D. unsatisfied56. A. usual B. natural C. ridiculous D. essential57. A. inevitable B. understandable C. unacceptable D. common58. A. orders B. punishments C. treatments D. restrictions59. A. cured B. destroyed C. enclosed D. drove60. A. inquiring B. caring C. worrying D. complaining61. A. thoughtlessness B. hesitation C. expectation D. kindness62. A. isolate B. scold C. desert D. bind63. A. funny B. sweet C. precious D. loving64. A. Nevertheless B. Moreover C. Therefore D. Meanwhile65. A. mind B. behavior C. love D. prioritySection B (11*2’=22’)Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)In agrarian(农业的),pre-industrial Europe, "you'd want to wake up early, start working with the sunrise, have a break to have the largest meal, and then you'd go back to work," says Ken Albala, a professor of history at the University of the Pacific, "Later, at 5 or 6, you'd have a smaller supper."This comfortable cycle, in which the rhythms of the day helped shape the rhythms of the meals, gave rise to the custom of the large midday meal, eaten with the extended family, "Meals are the fou ndation of the family,” says Carole Couniban, a professor at Millersville University in Pennsylvania, "so there was a very important interconnection between eating together and strengthen ing family ties.”Since industrialization, maintaining such a slow cultural metabolism has been much harder. With the long midday meal shrinking to whatever could be stuffed into a lunch bucket or bought at a food stand. Certainly, there were benefits. Modern techniques for producing and shipping food led to greater variety and quantity, including a tremendous increase in the amount of animal protein and dairy products available, making us more vigorous than our ancestors.Yet plenty has been lost too, even in cultures that still live to eat. Take Italy. It's no secret that the Mediterranean diet is healthy, but it was also a joy to prepare and eat. Italians, says Counihan, traditionally began the day with a small meal. The big meal came at around 1 p.m. In between the midday meal and a late, smaller dinner came a small snack. Today, when time zones have less and less meaning, there is little tolerance for offices' closing for lunch, and worsening traffic in cities means workers can't make it home and back fast enough anyway. So the formerly small supper after sundown becomes the big meal of the day, the only one at which the family has a chance to get together. "The evening meal carries the full burden that used to be spread over two meals" says Counihan.66.What do we learn from the passage about people in pre-industrial Europe?A.They had to work from early morning till late at night.B.They were so busy working that they only ate simple meals.C.Their daily routine followed the rhythm of the natural cycle.D.Their life was much more comfortable than that of today.67.What does the underlined phrase "cultural metabolism" refer to?A.Evolutionary adaptation.B.Changes in lifestyle.C.Social progress.D.Pace of life.68. What does the author think of the food people eat today?A.Its quality is usually guaranteed.B.It is varied, abundant and nutritious.C.It is more costly than what our ancestors ate.D.Its production depends too much on technology.69.What does the author say about Italians of the old days?A.They enjoyed cooking as well as eating.B.They ate a big dinner late in the evening.C.They ate three meals regularly every day.D.They were expert at cooking meals.70. John, who is a SentosaPLAYPass holder, needn’t pay for the activities EXCEPT ______.A. Storytelling Comes AliveB. Art Excursion at SentosaC. Boogie with Captain PalawanD. Storytelling at Underwater World Singapore71. Which of the following statements is true?A. Boogie with Captain Palawan is an activity that happens daily.B. Denise Tan will share her stories at Images of Singapore Forecourt.C. Storytelling Comes Alive is recognized globally for its engaging content.D. You will win prizes if you spend at least $40 in a single receipt at Sentosa.72. On a Saturday at 2pm, Mr Smith and his family want to buy the Sentosa Play Pass. He shouldgo to ______.A. Bugis stationB. Somerset stationC. any TransitLink ticket officeD. any Sentosa ticketing office(C)I'll admit I've never quite understood the obsession (难以破除的成见) surrounding genetically modified (GM) crops. To environmentalist opponents, GM foods are simply evil, an understudied possibly harmful tool used by big agricultural businesses to control global seed markets and crush local farmers. They argue that GM foods have never delivered on their supposed promise, that money spent on GM crops would be better channeled to organic farming and that consumers should be protected with warning labels on any products that contain genetically modified ingredients. To supporters, GM crops are a key part of the effort to sustainably provide food to meet a growing global population. But more than that, supporters see the GM opposition of many environmentalists as fundamentally anti-science, no different than those who question the basics of man-made climate change.For both sides, GM foods seem to act as a symbol: you're pro-agricultural business or anti-science. But science is exactly what we need more of when it comes to GM foods, which is why I was happy to see Nature devote a special series of articles to the GM food controversy. The conclusion: while GM crops haven't yet realized their initial promise and have been dominated by agricultural businesses, there is reason to continue to use and develop them to help meet the enormous challenge of sustainably feeding a growing planet.That doesn't mean GM crops are perfect, or a one-size-fits-all solution to global agriculture problems. But anything that can increase farming efficiency--the amount of crops we can produce per acre of land-- will be extremely useful. GM crops can and almost certainly will be part of that suite of tools, but so will traditional plant breeding, improved soil and crop management--and perhaps most important of all, better storage and transport infrastructure (基础设施), especially in the developing world. (It doesn't do much good for farmers in places like sub-Saharan Africa to produce more food if they can't get it to hungry consumers. I'd like to see more non-industry research done on GM crops--not just because we'd worry less about bias(偏见), but also because seed companies like Monsanto and Pioneer shouldn't be the only entities(实体) working to harness(掌控) genetic modification. I'd like to see GM research on less commercial crops, like corn. I don't think it's vital to label GM ingredients in food, but I also wouldn't be against it--and industry would be smart to go along with labeling, just as a way of removing fears about the。
上海交通大学附属中学2017-2018学年高二10月月考英语试题(word版无听力部分附答案)
上海交通大学附属中学 2017-2018学年度第一学期高二英语月考一试卷出卷人:张睿燕审稿人:朱雪艳(满分150分,130分钟完成答案一律写在网上阅卷答题纸上)II. GrammarandVocabulary(32')SectionADirections:BeneatheachofthefollowingsentencestherearefourchoicesmarkedA,B,C,and D. Choose the one answer that best completesthe sentence.21.T he local people have doubt this carpenter can make of such material.A.w hetherB.whatC.whichD. if22.thegoodsdisplayedinthesupermarket sosurprising thatIdon’t knowwhat to choose.A.variety of, areB.The variety of, is isC.Avarietyof, isD.The variety of, are23.The population ofthe earth increasing fast. one third of the populationhere workers.A.i s; areB. is; isC. are; isD. are; are24.A snightfelluponthetown,theassistants thelastordersso as to close the shop early,A.digested,fewB. rushed across, pieces ofC. rushed through, fewD. rushed into,pieces of25.theimportanceofholdingthe2017MovieFestivalsuccessfully,allcitizensaremaking every effort to work for the beauty of thecity of Shanghai.ARealize B.Aware of C. Encouraged by D. Beingaware of26.inamisunderstanding,abitterquarrelbetweenthetwoneighborshaslasted for two hours.A.OriginatedB. OriginatingC. BeingoriginatedD.Havingbeen originated27.There is only onething I'mnot in favor of in this restaurant-----thecoffee .A.serves coldB. is served coldlyC. serves coldlyD.is servedcold28.Itwasonlywhenthereservedtroopswerebroughtintoplaythatthebattleturned.A.to favor usB. in our favorC. to our favorD.in favor of us29.T he littleboy still needs the 30 dollars to do withsomethings .A.remaining;remained to be settledB. remaining;remainingto be settledC.remained;remainedto settleD. remained; remaining to settle30.Roughlyhalfthenation'scitizensliveoverseas,mostlyintheU.S.andAustralia,where theywork folks back home.A.helping to supportB. to helpsupportingC.to help support D. helpingsupporting31.Theinvestmentmoneywaswithdrawnfromthecountry,leavingsomeofitscitieswith abandoned constructionsA. litteringB. to litterC.to be litteredD. littered32. They searched for hours, but befound.A.at no time could the missingspoon.A. nowhere could the missingspoonC.nowhere the missing spooncouldD. nowhere can the missing spoonSection BDirections:Completethefollowingpassagebyusingthewordsinthebox.Eachwordcan only beused once.Note thatthere is one wordmore than you need.Junkfoodiseverywhere.We’re eatingwaytoomuchofit.Mostofusknowwhat we’re doing and yet we do it anyway.Sohere'sasuggestion_ 33bytworesearchersattheRandCorporation:Whynottakealess onfromalcoholcontrolpoliciesandapplythemtowherefoodissold and how it’s 34 ?"Manypolicymeasurestocontrolobesity (肥胖症)assumethatpeopleconsciouslyandrationallychoosewhatandhowmuchtheyeatandtherefo refocusonproviding informationand moreaccess to 35 foods,"note the tworesearchers."Incontrast,"theresearcherscontinue,"manyregulationsthatdon'tassumepeoplemak erationalchoiceshavebeensuccessfullyappliedtocontrolalcohol,asubstance--likefood--ofwhichimmoderate36 leadstoserioushealthproblems."Theresearchreferencesstudiesofp eople’s behaviorwithfoodandalcoholandresultsofa lcoholrestrictions,andthenlistsfiveregulationsthattheresearchersthinkmight be promising if appliedto junkfoods.Amongthem:Density _37 :licensestosellalcoholaren'thandedout 38toallcomers but are allotted (分配)based on the number of places in an area that alreadysell alcohol.These makealcohol less easy to getandreduce thenumberofpsychological cuesto drink.Similarly,theresearcherssay,beingpresentedwithjunkfood39 ourA.healthierB.stimulatesC.particularlyD.consumptionE.offeredF.displayedG.primarily K.peculiar H.special I.restrictions J.unplanneddesiretoeatit.Sowhynotlimitthedensityoffoodoutlets, 40onesthatsellfoodrichinemptycalories?Andwhynotlimitsaleoffoodinplacesthat aren’t41 food stores?Displayandsalesrestrictions:Californiahasaruleprohibitingalcoholdisplaysnearthecashre gistersingasstations,andinmostplaces youcan’tbuy alcoholatdrive-throughfacilities.Atsupermarkets,foodcompaniespaytohavetheirwaresinplaceswherethe y'reeasilyseen.Onecouldremovejunkfoodtothebackofthestoreandbanthemfromtheshelv esatcheckoutlines.Theothermeasuresincluderestrictingportionsizes,taxingandprohibiting42 price dealsforjunkfoods, and placing warning labels onthe products.(B)Tea —ABrief Historyof theNation'sFavoriteBeverageThe birth of tea in ChinaTeaisoftenthoughtofasbeingatypicallyBritishdrink,andwehavebeendrinkingit for over 350years, Butinfact the history of tea goesmuchfurther back.ThestoryofteabeginsinChina.Accordingtolegend,in2737BC,theChineseemperorSh enNungwassittingbeneathawhilehisservant43drinkingwater,whensomeleavesfromthetreeblewintothewater.ShenNung,arenownedh erbalist,decidedtotheinfusionthathissavanthad 44_created.Thetreewas Camellia sinensis drink and theresulting drink was what we now calltea.Itisimpossibletoknowwhetherthereisanytruthinthisstory.Butteadrinkingcertainlybe cameestablishedinChinamanycenturiesbeforeithadevenbeenheardofinthewest.Containe rsforteahavebeenfoundintombs45fromtheHandynasty(206BC220AD)'butitwasundertheTangdynastyAD),thatteabecamefirmly 46 as the nationaldrink of China. It becamesuch47thatduringthelateeighthcenturyawritercalledYuwrotethefirstbookentirelyAbouttea,theC h'aChing,orTeaClassic.Itwasshortlyafterthisthatteawag first 48 toJapan,by JapaneseBuddhistmonkswho had travelledtoChina to studyThegrowthof tea in EuropeSoatthisstageinthehistoryoftea,Europewagratherlaggingbehind.Inthelatterhalfofth esixteenthcenturytherearethefirstbriefmentionsofteaasadrinkamongEuropeans.Theseare 49 fromPortuguesewhowerelivingintheEastastradersandmissionaries(,Butalthoughsomeof theseindividualsmayhaveA.accidentallyB.establishedmercialD.datingE.introducedF.favoriteG.boiledH.turnJ.mostly K.originbroughtbacksamplesofteatotheirnativecountry,itwasnotthePortuguesewhowerethefirstt oshipbackt:asa 50 import.ThiswasdonebytheDutch,whointhelastyearsofthesixteenthcenturybegantoencro achonPortuguesetradingroutesintheEast,By'the 51 ofthecenturytheyhadestablishedatradingposton the islandof Java,anditwag viaJava thatin1606 the firstconsignmentof teawasshippedfromChinatoHolland,TeasoonbecameafashionabledrinkamongtheDutch, andfromtherespreadtoothercountriesincontinentalwesternEope,butbecause of its high priceit 52 drink for the wealthy.Ill.ReadingComprehensionSectionA ClozeDirections:ForeachblankinthefollowingpassagetherearefourwordsorphrasesmarkedA, B,C and D. Fill i)each blank with theword or phrase that bestfits the context.Inspiration"Mama,whenIgrowup,I'mgoingtobeoneofthose!"IsaidthisaftergeeingtheCapitalDa ncingCompanyperformwhenIwagthree.Itwasthefirsttimethatmydreamtookonavividfor mandactedassomethingimportanttostartmytraining.AsI grewolder and was 53 to more,myinterestsintheworldofdance54variedbutthatlittlegirl'sdreamofsomedaybecomingadancerinthecompanyneverleftme.In thesummerof2005whenIwas18,Ireceivedthephonecallwhichmadethatdreama55 ;Ibecameamemberofthecompany56 back to 1925.AsIlookbackonthatdaynow,itsurely57__anysenseofreality,IbelieveIstayedinastate ofpleasantdisbeliefuntilIwashalfwaythroughrehearsalsonmyfirstday.Ineveractually58 togetthejob,Afterbeingofferedtheposition,Iwag completely 59 . I remember shaking withexcitement.ThoughIwasabsolutelythrilledwiththechange,itdidnotcomewithoutitsfairshareof60.Throughthestrictrehearsalperiodofdancingsixdaysaweek;Ifounditvitalto61_upthematerialfastwitheverylastbitofconcentration.Itisthat62__todetailandonpractic ethatsetus_63_.Tothen follow thosehigh-energyrehearsalswithabusyshowscheduleofuptofiveperformancesaday,Idiscoveredanew64ofthe words "hardwork."WhatIthoughtweremyphysical _65 werepushedmuchfurtherthan I thought 66I learned to make each performancebetter than thelast,Today,whenIlookattheunbelievablecompanythatIhavethegreat 67 ofbeingapartof.notBillyamember,butdancecaptain,Iseeatraditionthathasinspirednotonly generationsoflittlegirlsbutasplendidcompanythatcontinuestodevelop andgrow-and inspires people every dayfollow their dreams.(B)Starbucksliterallychangedthedefinitionof"agoodcupofcoffee".ForStarbucks,thebra ndhadthreeelements:coffee,68_andstores.Strictcontroloverthequalityandprocessingofth ebeans69_thatthecoffeewouldbeofthehighestpossiblequality.Outstandingstorepersonnel wereemployedandtrainedincoffeeknowledge and70_ service. Store design,aroma all71 _ the"StarbucksExperience".AlmostallStarbucks storeswerecorporatelyowned andcontrolled.Starbuckspridedonthe"StarbucksExperience",72_coffeetoprovideauniqu eexperienceforits customers.73_,yougetmorethancoffeewhenyouvisitStarbucks;Yougetgreatpeople,first-ratemusic,acomfortableandupbeatmeetingplace,onbrewingexcellentcoffeeathome.Atho meyouarepartofafamily.Atworkyouarepartofacompany.Andsomewhereinbetweenisapla cewhereyoucansitbackandbeyourself.ThatiswhataStarbucksstoreistomanyofitscustome rs —akindof"thirdplace"wheretheycanescape, read,75_ or listen.ThegreenStarbuckslogoisamermaidthatlooksliketheendofthedoubleimageofthesea .ItwasdesignedbyTerryHeckler,whogotthe76_fromthewoodenstatueofthesea.Mermaidl ogoalso77_originalandmodemmeanings:herfaceisvery simple, but with modern abstract forms of packaging.StarbucksmakesthetypicalAmericanculturegraduallybrokendownintoelements of 78_:thevisualwarmth,hearingtheway,smellingthearomaofcoffeeandsoon.Justthink,thro ughthehugeglasswindows,watchingthecrowdedstreets,__79_sippingacoffeeflavor,whic hisinlinewiththe"Yapi",thefeelingofexperienceinthe_80_life.ButtheessenceofStarbucksisnotaboutthecoffee,althoughit's 81_.coffee. 53. A.connected 54. A.rarely 55. A.symbol 56. A.bouncing 57. cks 58.A. cared 59.A. motivated60.A, challenges 61.A. put 62,A. attention 63. A. apart 64. A, function 65. A. boundaries 66. A.necessary 67. A. talent B. expanded B. certainly B. memory B. dating B. adds B. expected B.relaxed B. profits B. mix B. association B. aside B.eating B. problems B. perfect B. honor C. exposed C. probably C. truth C. turning C. makesC.aske d C. convinced C. advantage C.build C. attraction C. off C. expression C. barriers C. proper C. potential D. extended D. consistently D.reality D.tracking D.brings D. decided D. astonishedD.ad ventures D. pick D. adaptation D. back D usage D. efforts D. possible D. responsibilityCoffee is only a carrier. Coffeeconsumption,_82_, is and cultural.Section BDirections:Readthefollowingfourpassages.Eachpassageisfollowedbyseveralquestionso runfinishedstatements.ForeachofthemtherearefourchoicesmarkedA,B,CandD.Chooset heonethatfitsbestaccordingtotheinformationgiveninthepassage youhave justread.(A)Foodandideasaboutcookingithavebeenpassingfromonepartoftheworldtoanothersin cetheStoneAgeRevolutionbeganintheMiddleEast.Theywerepartofthespreadofcivilizati on,thoughsincepeoplechangetheirtastesinpaintingandarchitecturemuchfasterthantheirta stesinfood,knowledgeofwhatwaseatenisfarlessthanknowledgeofthehousesthatwerelive dinortheclothesthatwereworn.Cookerybookswerefew before the 17th century, andhow closeare the generaleatinghabitsat anyperiodto the cookery books published?Changesowedmoretothemovementofpeople,ofanimals,ofmerchants,ofrichlandow ners,thantobooks.Beforecanals,railways,goodroads,mostpeopleatewhatcouldbeproduce dwithinathirty-milearea.Portsdidbetter,ofcourse,iftheywereonaroute.Formostpeoplefoodwasbasicallyr egionalfoodandtherewasnotalwaysenoughofiteither.Eveningoodareas,poorcountrypeop lehadlittletoeatsincemostofwhattheyproducedwentforsaleatlocalmarkets.Onlyrichmenc ouldbuy expensive seedsto grow unusual vegetables,oremploygardenerswho68. A. customers69. A. ensured70. A. employment71. A. resulted from72. A. coming across73. A.Actually74.A. dependence75.A. negotiate76.A. imagination77.A.conveys78.A.brand79.A. greedily80.A. easy81.A. great82.A. for instance B. managers B. assured B.customer B. contributedB.m aking upB.Gradually B. effect B. perform B. inspiration B. creates B. logo B. gently B. busy B. rareB. to large extentC.people C.predicted C. environment C. benefited from C. going beyond C.Luckily C. advice C. quarrel C. patent C. credits C. possession C. reluctantly C. miserable C. expensive C. in additionD. clients D. confessed D. greeting D. stuck to D. depending on D. extremelyD.remark D. chat D. illustration D. cultivates D. experience D. indifferently D. energetic D. bitter D. by contrastunderstoodhowtogrowfinefruitunfamiliartotheplacetheylivedin,oraffordcooks trainedelsewhere to providevariety at mealtimes.Theundoubtedadvantagesofpresent-daylarge-scalemanufactureandorganization—wonderfulcleanliness,quickdistribution,pricesthatallowfarmorepeoplethan.everinthepas ttosatisfytheirhunger—havenotsofarcometoustogetherwithanexcellentqualityofflavor.Moreover,inaworldwher epossibilitiesareendless,businessseemstotolimitchoicebeyondacertainlevel.Ofthe300va rietiesofpearsthatlistedbyoneFrench17th-centurygardener-eventhoughhehadtoadmitthatonly30ofthemwerereallywortheating—onlyabouthalfaarenowproduced in Europe.33.Why do we knowso littleabout the food people ate in thepast?A.Eatinghabits usedtochange very quickly.B.There were no cookery books before the 19thcentury.C.Peopledid not changetheir tastesinfoodfast,D.There arevery few paintings of food.84.Changes in eating habits were caused byA.shortagesof basic foodB.the movement ofpopulationC.developments inagricultureD. the recipes of foreign cooks85.What is the problemwith our foodtoday?A.It's too expensive for many people.B.It'smanufactured tooquickly.C.It doesn't taste as it used to.D.It's exported in verylarge quantities.86.What point isthe authormaking in the example aboutthe pear inthe lastparagraph?A.There is not as much variety now as before.B.There wasmorevariety in the past but quality was not as high.C.Most pears that wereproduced were not fit toeat.D.There is more varietyoutside Europe than inEurope.(B)Everhadatimeinyourlifewherecashhasn'tbeenasplentifulasyou'dlikeandyou've needed to tightenthe budget?We all have,AccordingtotheWorldBank,globalfoodprices,driveninpartbyhigherfuelcosts,are36 %abovetheirlevelayearago.Foodanddrinkareamongourbiggestongoing expenses, which meansit's also one of thebiggestopportunities for savings.Therearechangesofthewayyoubuyandpreparefoodthatcanmakeabigimpactonyourb ankaccount.Makingsignificantsavingsonyourgrocerybillisn'tashard as you might think, and you canstill livewell. Hereis how.COOK FROMTHE BEGINNINGIngeneral,themorepreparationorprocessingstepsafoodhagundergone,thehighertheprice.Soit'sbesttocookthingsfromtheverybeginningwherepossible.Evensmallc hangacanmakeabigcostdifference.Trybuyingunwashedwholelettuceorsaladleavesandgi vingthemacleaningyourself,Theper-ki10ÿa mprice can be as much as ten timesmore for prepackaged salad leaves.STEWNGMEATSupplyanddemandplayabigroleinfoodpricing.Foodthatisn'tfashionablecanbeexcell entvalueformoney.Unfortunately,lambchopsarenotasinexpensiveastheyoncewere—buttherearestillplentyofotheroptions.Lookforoxtail,chicken wingtip'andfeet,or•other org anssuchasliversandlungs.Aquickinternetsearchwillgiveyouahostofideasonhowtoprepar eunfamiliaringredients.Agoodplaceto start is with slow cookedcasseroles or stews, BUYIN BULKAgoodrule,basedonexperience,isthatischeaper",butlargerpacksizesaren'talwaysbet tervalue.Itdoespaytocomparethepricetomakesureyoureallyaresaving-a—ifyoucan,checkthe''unitpricing",whichcc—patespricesbyvolumeandweight.Andmakesureyou'llnotendupthrowinghalfofitoutthanu singitbytheexpiry date.TAKEALISTPlanningaheadisgreatwaytoeconomizeandreducetheriskofexpensiveimpulsepurch ases,somakealistofwhatyouneedbeforeyouheadtothesupermarket.It'salsoagoodideanott oshopwhileyouarehungrytoresisttheurgeto pick up unnecessary food items, IGNORETHE LISTGiveyourselftheflexibilitytomakethemostofthesupermarketspecialsanddiscounts,a ndtousedifferentingredientsorchangeyourweeklyrecipeplansdepending onwhat's onsale orthe best value for money on the day.87.It can be learned from the passage thatA.t here maybe less opportunityfor you to save moneywhen food pricesareincreasinggreatly.B.checking the expiry date is important when buyingfoods.C.the way we prepare our food affects our expenses.D.changing your weekly recipe planswill help you stay healthy.88."Buy in bulk"most probably means"A.Buyfoods in largequantitiesB. Buy unpackaged goodsOnlyC.Bu y what's on sale D.Buy goods in smaller pack sizes89.W hich of the following isTRUE according tothe passage?A.Prepackaged food is usually of highquality.B.Wehadbettermakeaplaninadvanceaboutwhattobuybeforegoingtothesupermarket.C.Preparingunfamiliaringredientsusually costsyour moneyand time.D.We should ignorethe supermarket specials anddiscountstoavoid beingtricked.(C)RobertF.Kennedyoncesaidthata country’s GDPmeasures"everythingexceptthatwhic hmakeslifeworthwhile."WithBritainvotingtoleavetheEuropeanUnion,andGDPalreadypr edictedtoslowasaresult,itisnowatimelymomenttoassesswhat he was referring to.The question of GDPand its usefulness has annoyedpolicymakers for over half acentury.Manyarguethatitisaflawedconcept,Itmeasuresthingsthatdonotmatterandmisses thingsthatdo.Bymostrecentmeasures,theUK'sGDPhasbeentheenvyoftheWesternworld, withrecordlowunemploymentandhighgrowthfigures.Ifeverythingwasgoingsowell,then whydidover17millionpeoplevoteforBrexit,despite thewarnings about what it could do to theircountry'seconomicprospects?Arecentannualstudyofcountriesandtheirabilitytoconvertgrowthintowell-beingshedssomelightonthatquestion.Acrossthe163countriesmeasured,theUKisoneofthe poorestperformersinensuringthateconomicgrowthistranslatedintomeaningfulimprovem entsforitscitizens.RatherthanjustfocusingonGDP,over40differentsetsofcriteriafromhealt h,educationandcivilsocietyengagementhavebeen measured to geta more rounded of how countries areperforming.Whileallofthesecountriesfacetheirownchallenges,thereareanumberofconsistenttha nes.Yes,therehasbeenabuddingeconomicrecoverysincethe2008globalcrash,butinkeyindi catorsinareassuchashealthandeducation,majoreconomieshavecontinuedtodecline.Yetthi sisn'tthecasewithallcountries.SomerelativelypoorEuropeancountrieshaveseenhugeimpr ovementsacrossmeasuresincluding civil society,income equality andthe environment Thisisalessonthatrich countriescanlearn:WhenGDPisnolongerregardedasthe solemeasure of O country's success, the world looks verydifferent,So whatKennedy wasreferring to was thatwhileGDPhasbeenthemostcommonmethodformeasuringtheeconomicactivityofnati ons,asa•measure,itisnolongerenough.Itdoesnotincludeimportantfactorssuchasenvironm entalqualityor educationoutcomes—allthingsthat contribute to a person's sense of well-being.ThesharphittogrowthpredictedaroundtheworldandintheUKcouldleadtoadeclineint heeverydayserviceswedependonforourwell-beingandforgrowth.Butpolicymakerswhorefocuseffortsonimprovingwell-beingratherthansimplyworryingaboutGDPfigurescouldavoidtheforecasteddoomandma yevenseeprogress.90.Robert F. Kennedy is cited because heA.praised the UKfor its GDP.B.identified GDPwith happiness.C.misinterpreted the role ofGDP.D.had a low opinion ofGDP.9I. It can beinferred from Paragraph 2 thatA.the UKis reluctantto remold its economic pattern.B.GDPas the measure of successisWidely disapproved of in the UK.C.theUKwill contribute less tothe worldeconomy.D.policymakers in theUKare paying less attention to GDP. 92.Whichof the following is titleabout the recent annual study?A.It is sponsored by 163 countries.B.It excludes GDPas an indicator.C.Its criteria are questionable.D.Its results are enlightening.93.I n thelast twoparagraphs, the author suggests thatA.the UK is preparing for an economicboom.B.B. high GDPforeshadows an economic decline.C.it is essential to consider factors beyondGDP.D.it requires caution tohandle economic issues.(D)Inarareunanimousruling,theUSSupremeCourthasoverturnedthecorruptionconvicti onofaformerVirginiagovernor,RobertMcDonnell.putitdidsowhileholdingitsnoseattheeth içsofhisconduct,whichincludedacceptinggiftssuchasaRolex watch and aFerrariautomobile froma companyseeking accessto government.Thehighcourt'sdecisionsaidthejudgeinMr.McDonnell'strialfailedtotellajurythatitm ustlookonlyathis''officialacts,"ortheformergovernor'gdecisionson"specific"and'unsettle d" issues related to hisduties.Merelyhelpingagift-givergainaccesstootherofficials,unlessdonewithclearintent to pressure thoseofficials, is not corruption, the justices found.Thecourtdidsuggestthatacceptingfavorsinreturnforopeningdoorsis"distasteful"and "nasty,"Butunderanti-briberylaws,proofmustbemadeofconcretebenefits,suchasapprovalofacontractorregulati on.Simplyarrangingmeeting,makingaphonecall,or hostingan event isnot an "official act".Thecourt'srulingislegallysoundindefininga.kindoffavoritismthatisnotcriminal.Elec tedleadersmustbeallowedtohelpsupportersdealwithbureaucraticproblemswithoutfearof prosecutionforbribery."Thebasiccompactunderlyingrepresentativegovernment,"wroteC hiefJusticeJohnRobertsforthecourt,"assumesthat publicofficialswill hear fromtheir constituents and act on theirconcerns."Buttherulingreinforcestheneedforcitizensandtheirelectedrepresentatives,notthecou rts,toensureequalityofaccesstogovernment.Officialsmustnotbeallowedtoplayfavoritesin providinginformationorinarrangingmeetingssimplybecauseanindividualorgroupprovide sacampaigndonationorapersonalgift.Thistypeofintegrityrequireswell-enforcedlawsingovernmenttransparency,suchasrecordsofofficialmeetings,rulesonlobby ing,andinformationabouteachelectedleader's source of wealth.Favoritisminofficialaccesscanfanpublicperceptionsofcorruption.Butitisnotalwaysc orruption.Ratherofficialsmustavoiddoublestandards,ordifferenttypesofaccessforaverag epeopleandthewealthy.Ifconnectionscanbebought,abasicpremiseofdemocraticsociety—thatallareequalintreatmentbygovernment—isundermined.Goodgovernancerestsonanunderstandingoftheinherentworthofeach individual.Thecourt'srulingisastepforwardinthestruggleagainstbothcorruptionandofficialfavoritism.94.The underlined sentence (Para.l) most probably shows thatthecourtA.avoided defining theextent of McDonnell's duties.B.made no compromisein convicting McDonnell.C.wascontemptuous of McDonnell's conduct.D.refused to comment on McDonnell'sethics.95.According to Paragraph 4, an officialactis considered corruptive only if itinvolvesA.leakingsecrets intentionally.B.B. sizable gains inthe formofgifts.C.concrete returns for gift-givers.D.breakingcontractsofficially.96.T he court's is based on the assumption that publicofficials areA.justifiedin addressing the needs oftheir constituents.B.qualifiedto dealindependently withbureaucratic issues.C.allowed to focus on the concernsof theirsupporters.D.spare from conviction on the charge offavoritism.97.W ell-enforced laws ingovernmenttransparency are needed toA.awaken the conscience of officials.B.g uaranteefair playin officialaccess.C.allow for certain kinds oflobbying.D.inspire hopes in average people.98.The author's attitudetoward the court's rulingisA.sarcasticB. tolerantC.skepticalD. supportiveSectionA(10')Directions: Fillin the sentenceswith the proper formof the given verbs.1.H owhappyweare!TheNationalDayHolidaywehavebeenlookingforwardto(come) atlast.2.N ndhasbeenmarkedwilderness,buthowitisusedand managed is far from (settle).3.T hemanagersdiscussedtheplanthattheywouldliketosee(carry)outthe next year.4.When she said some people cheated in the exam, she (not refer) toyou.5.Therewasaknockatthedoor.Itwasthesecondtimesomeone (interrupt)me that evening.6.The watch he (mend)went wrong.7.The samething, happening in war time (amount) to a greatdisaster.8.If he follow the doctor's advice, he would be quite all rightnow.9.M ark oftenattempts to escape (fine) whenever he breaks trafficregulations10.HewillhavelearnedEnglishforeightyearsbythetimehefromthe(graduate) universitynextyear.Section B (10')Directions:Afterreadingthepassagebelow,fillintheblankstomakethepassagecoherentand grammaticallycorrect.Fortheblankswithagivenword,fillineachblankwiththeproperform ofthegivenword;fortheotherblanks,useonewordthatbest fits each blankHistory of PizzaPizzaisprobablythemostgloballyrecognizablefoodtoday.Originallyafoodforthepoo rhasnowbecomeadishforeveryone.Pizzaistheresultofatransformationdeveloped over the centuries.Theancestorofpizzaisthesimplebread.Itdominateshistoryasoneofthemostusedfoods forthepoorwhowereforced11_(eat)onlycerealsand12fewproductsthatnaturewasoffering.Theyusedtheirownimagina tionandfantasytocreatesomethingtastefulfortheirmeals,Barleywas 13 (common)ingredientusedtopreparebread.Throughthepizzatookitsowncourseanddevelop edintothedishthatweknowtoday.Thisdishhasinspiredmanywritersandartistsinourhistoryandit'sfromtheirdocu mentsandnotes 14_weknowthatpizzahastrulyoldorigins.Themodernpizza_15 (develop)aftertheintroductionofthetomatotoItaly in the16thcentury.Throughoutthe17thand18thcenturiesNaplesestablisheditselfasthepizzacapital ofItaly.However,creditfortheinventionofthetrulymodernpizzagoestoaman16(name)RafaelaEsposito.Forthe1889visitofKingUmbertoIandQueenMargherita,Esposi todesignedthe"pizzaMargherita",whichlookedliketheItalianflag 17 .the queenloved it, and today, pizzaMargherita is the world standard.PizzadidnotfinditswayintotheUnitedStates_18aftertheendoftheSecondWar.Atthatt ime,U.S.soldiersreturnedhome.Alongwiththeirreturn,theyalsobroughtbackanappetitefo rthepizzathey 19 (enjoy)inItaly,Pizzaparlorstospringupinandmorepiecesashungrypeoplestartedtoeatthiso ne-dishfoodon a regular basis.Today,20 (depend)onwhereyoulive,youcanusuallyfindapizza parlornearyourhome.Manyparlorswillevendelivertheirfoodrighttoyourfrontdoor!or,ifyo uprefer,mostgrocerystoressell,frozenpizzasandpizza-makingkitaswell asthe separate ingredientsformaking your own style of pizza too!Directions: Complete thefollowing sentences with the he p of the Chinese given-21.G raduatedfromoneofthetopfiveuniversitiesintheworld,thisaggressiveyoungman(声称自己已经确立了作为一名有名的经济学家的地位)22.Smokinganddrinking arealwayslisted asthe twomajorcause;of variousdiseasesbecause (它们会妨碍身体吸收氧气)(偏袒艺术23.TheGovernmentcameunderfireyesterdayfor领域的一些精英)24.He(保持浓厚的兴趣)the progress of the work.25.Engineersnoticedthatthepipes_ (没有如预期的那样在膨胀)26.WesternEuropeancountries (见证了移民的快速增长)afterWorldWarIlandmanyEuropeansnationstodayhavesizeableimmigrantpopulations,bo th of European and non-European origin.27.Itmaybethe21stCenturybuttheissueofvirginityinArabculturecanstillbe(生死攸关的大事,especiallyfor womenlikeSonia andNada. 28,Thereisastudyprogram (大学毕业生目前可以获得)in twenty-two countries inAsia,Africa and LatinAmerica.29.E mma Kelty (充分意识到危险)in theAmazon rainforest butkeptgoingregardlessofthewarnings,onlytobekilledbythedrugthetraffickersAmazon hidden in the forest.30.To (培养一个人的品位)Englishprose, the most effective way is to read English booksextensively.Section D (12')Directions:Translate the followingsentencesinto English, usingthe wordsgivenin the brackets.31.在这些细节上争来争去浪费了他们很多宝贵的时光。
上海市交通大学附属中学2017届高三上学期摸底考试数学试题 Word版含解析
上海交通大学附属中学2016-2017学年度高三第一学期数学摸底试卷本试卷共有23道试题,满分150分,考试时间120分钟。
一、填空题(本大题满分56分)本大题共有14题,考生应在答题纸相应编号的空格内直接填写结果,每个空格填对得4分,否则一律得零分。
1、设全集U={1, 3, 5, 7},集合M={1,| a-5 |} ,,{5, 7} ,则实数a的值是____________.2或8;2、若复数z满足其中i为虚数单位,则z=__________.12i3、若双曲线中心在坐标原点,一个焦点为F(10,0),两条渐近线的方程为,则该双曲线的标准方程为____________.4、行列式的第2行第3列元素的代数余子式的值为.45、若变量满足约束条件,则的最小值为_________.-76、五位同学排成一排,其中甲、乙必须在一起,而丙、丁不能在一起的排法有_______种.24a}为等差数列,为其前项和.若,则.64 7、已知{n8、设(x2+1)(2x+1)9=a0+a1(x+2)+a2(x+2)2+…+ a11(x+2)11,则a0+a1+a2+…+ a11=_________.-29、一个由半球和四棱锥组成的几何体,其三视图如图所示.则该几何体的体积为________.10、函数为奇函数,则实数a的值为__________.1或-111、关于x的方程|x|=ax+1有且仅有一个负根,则实数a的取值范围是_________.=sgnxB、sgn=-sgnxC、sgn=sgnD、sgn=-sgn三、解答题(本大题满分74分)19、(本题满分12分)本题共有2个小题,第(1)小题满分5分,第(2)小题满分7分.△ABC的内角A,B,C的对边分别为a,b,c,已知(I)求C;(II)若的面积为,求△ABC的周长.20、(本题满分14分)本题共有2个小题,第(1)小题满分4分,第(2)小题满分10分.如图,在四棱锥P–ABCD中,AD∥BC,ADC=PAB=90°,BC=CD=AD,E为边AD的中点,异面直线PA与CD所成的角为90°.(I )在平面PAB 内找一点M ,使得直线CM ∥平面PBE ,并说明理由;(II )若二面角P –CD –A 的大小为45°,求直线PA 与平面PCE 所成角的正弦值.21、(本题满分14分)本题共有2个小题,第(1)小题满分6分,第(2)小题满分8分. 已知,函数F (x )=min{2|x −1|,x 2−2ax +4a −2},其中min{p ,q }=(I )求使得等式F (x )=x 2−2ax +4a −2成立的x 的取值范围; (II )求F (x )在区间上的最大值M (a ). 【答案】(I );(II ).22、(本题满分16分)本题共有3个小题,第(1)小题满分4分,第(2)小题满分6分,第(3)小题满分6分.各项均为正数的数列{}n b 的前n 项和为n S ,且对任意正整数n ,都有2(1)n n n S b b =+. (1)求数列{}n b 的通项公式;(2)如果等比数列{}n a 共有2016项,其首项与公比均为2,在数列{}n a 的每相邻两项i a 与1i a +之间插入i 个*(1)()i i b i -∈N 后,得到一个新的数列{}n c .求数列{}n c 中所有项的和;(3)是否存在实数,使得存在,使不等式成立,若存在,求实数的范围,若不存在,请说明理由.23、(本题满分18分)本题共有3个小题.第1小题3分,第2小题6分,第3小题9分.如图,已知曲线221:12x C y -=,曲线2:||||1C y x =+,P 是平面上一点,若存在过点P 的直线与12,C C 都有公共点,则称P 为“C 1—C 2型点”.(1)在正确证明1C 的左焦点是“C 1—C 2型点”时,要使用一条过该焦点的直线,试写出一条这样的直线的方程(不要求验证);(2)设直线y kx =与2C 有公共点,求证||1k >,进而证明原点不是“C 1—C 2型点”; (3)求证:圆2212x y +=内的点都不是“C 1—C 2型点”.2016-2017学年上海交大附中高三(上)摸底数学试卷参考答案与试题解析一、填空题(本大题满分56分)本大题共有14题,考生应在答题纸相应编号的空格内直接填写结果,每个空格填对得4分,否则一律得零分.1.(4分)设全集U={1,3,5,7},集合M={1,|a ﹣5|},C U M={5,7},则a 的值为 2或8 . 【考点】补集及其运算. 【专题】计算题.【分析】题目给出了全集U={1,3,5,7},给出了全集的子集M 及M 的补集,由M∪(C U M )=U 可求a 的值.【解答】解:由U={1,3,5,7},且C U M={5,7},所以,M={1,3}, 又集合M={1,|a ﹣5|},所以|a ﹣5|=3. 所以,实数a 的值为2或8. 故答案为:2或8【点评】本题考查了补集及其运算,解答此题的关键是一个集合与其补集的并集等于全集,此题是基础题.2.(4分)(2016秋•杨浦区校级月考)若复数z满足2z+=3﹣2i,其中i为虚数单位,则z= 1﹣2i .【考点】复数代数形式的加减运算.【专题】计算题;整体思想;定义法;数系的扩充和复数.【分析】设复数z=a+bi,(a、b是实数),则=a﹣bi,代入已知等式,再根据复数相等的含义可得a、b的值,从而得到复数z的值.【解答】解:设z=a+bi,(a、b是实数),则=a﹣bi,∵2z+=3﹣2i,∴2a+2bi+a﹣bi=3﹣2i,∴3a=3,b=﹣2,解得a=1,b=﹣2,则z=1﹣2i故答案为:1﹣2i.【点评】本题给出一个复数乘以虚数单位后得到的复数,求这个复数的值,着重考查了复数的四则运算和复数相等的含义,属于基础题.3.(4分)(2011•福建模拟)已知双曲线的中心在坐标原点,一个焦点为F(10,0),两条渐近线的方程为y=±,则该双曲线的标准方程为.【考点】双曲线的简单性质.【专题】计算题.【分析】由题意得,c=10,=,100=a2+b2,解出a和b的值,即得所求的双曲线的标准方程.【解答】解:由题意得,c=10,=,100=a2+b2,∴a=6,b=8,故该双曲线的标准方程为,故答案为.【点评】本题考查双曲线的定义和双曲线的标准方程,以及双曲线的简单性质的应用.4.(4分)(2016秋•杨浦区校级月考)行列式的第2行第3列元素的代数余子式的值为 4 .【考点】三阶矩阵.【专题】选作题;转化思想;综合法;矩阵和变换.【分析】根据余子式的定义可知,在行列式中划去第2行第3列后所余下的2阶行列式为第3行第3列元素的代数余子式,求出值即可.【解答】解:由题意得第2行第3列元素的代数余子式M23=﹣=8﹣4=4故答案为:4.【点评】此题考查学生掌握三阶行列式的余子式的定义,会进行矩阵的运算,是一道基础题.5.(4分)(2016春•黔西南州校级期末)若变量x,y满足约束条件,则z=3x﹣y的最小值为﹣7 .【考点】简单线性规划.【专题】不等式的解法及应用.【分析】由约束条件作出可行域,由图得到最优解,求出最优解的坐标,数形结合得答案.【解答】解:x,y满足约束条件对应的平面区域如图:当直线y=3x﹣z经过C时使得z最小,解得,所以C (﹣2,1),所以z=3x﹣y的最小值为﹣2×3﹣1=﹣7;故答案为:﹣7.【点评】本题考查了简单的线性规划,关键是正确画出平面区域,利用z的几何意义求最值;考查了数形结合的解题思想方法,是中档题.6.(4分)(2016秋•杨浦区校级月考)五位同学排成一排,其中甲、乙必须在一起,而丙、丁不能在一起的排法有24 种.【考点】排列、组合及简单计数问题.【专题】应用题;方程思想;综合法;排列组合.【分析】根据题意,先使用捆绑法,将甲乙看成一个“元素”,再将丙、丁单独排列,进而将若甲、乙与第5个元素分类讨论,分析丙丁之间的不同情况,由乘法原理,计算可得答案.【解答】解:根据题意,先将甲乙看成一个“元素”,有2种不同的排法,将丙、丁单独排列,也有2种不同的排法,若甲、乙与第5个元素只有一个在丙丁之间,则有2×C21=4种情况,若甲、乙与第5个元素都在丙丁之间,有2种不同的排法,则不同的排法共有2×2×(2+4)=24种情况;故答案为:24.【点评】本题考查排列、组合的综合运用,涉及相邻与不能相邻的特殊要求,注意处理这几种情况的特殊方法.7.(4分已知{a n}为等差数列,S n为其前n项和.若a1+a9=18,a4=7,则S8= 64 .【考点】等差数列的前n项和.【专题】方程思想;转化思想;等差数列与等比数列.【分析】由等差数列的性质可得:a1+a9=18=2a5,解得a5.可得S8==4(a4+a5).【解答】解:由等差数列的性质可得:a1+a9=18=2a5,解得a5=9.又a4=7,则S8==4(a4+a5)=4×(9+7)=64.故答案为:7=64.【点评】本题考查了等差数列的性质及其求和公式,考查了推理能力与计算能力,属于中档题.8.(4分)(2014•余杭区校级模拟)若(x2+1)(2x+1)9=a0+a1(x+2)+a2(x+2)2+…+a11(x+2)11,则a0+a1+…+a11的值为﹣2 .【考点】二项式定理.【专题】计算题.【分析】本题通过赋值法进行求解,在题干所给的式子中令x=﹣1,即可得到所求的结果.【解答】解:∵(x2+1)(2x+1)9=a0+a1(x+2)+a2(x+2)2+…+a11(x+2)11∴在上式中,令x=﹣1:((﹣1)2+1)(2(﹣1)+1)2=a0+a1+…+a11即a0+a1+…+a11=﹣2故答案为:﹣2【点评】本题通过赋值法进行求解,另外此种方法在函数的求值问题也常用到,属于基础题.9.(4分)一个由半球和四棱锥组成的几何体,其三视图如图所示.则该几何体的体积为.【考点】由三视图求面积、体积.【专题】计算题;方程思想;综合法;立体几何.【分析】由已知中的三视图可得:该几何体上部是一个半球,下部是一个四棱锥,进而可得答案.【解答】解:由三视图可知,上面是半径为的半球,体积为V==,下面是底面积为1,高为1的四棱锥,体积,所以该几何体的体积为.故答案为.【点评】本题考查的知识点是由三视图,求体积和表面积,根据已知的三视图,判断几何体的形状是解答的关键.10.(4分)函数f(x)=为奇函数,则实数a的值为1或﹣1 .【考点】函数奇偶性的性质.【专题】综合题;函数思想;综合法;函数的性质及应用.【分析】函数f(x)=为奇函数,可得=﹣,化简即可得出结论.【解答】解:∵函数f(x)=为奇函数,∴=﹣,∴=﹣,∴a=1或﹣1.故答案为1或﹣1.【点评】本题考查了奇函数的性质,考查学生的计算能力,属于基础题.11.(4分)(已知关于x的方程|x|=ax+1有一个负根,但没有正根,则实数a的取值范围是a≥1 .【考点】根的存在性及根的个数判断.【专题】数形结合.【分析】构造函数y=|x|,y=ax+1,在坐标系内作出函数图象,通过数形结合求出a的范围.【解答】解:令y=|x|,y=ax+1,在坐标系内作出函数图象,方程|x|=ax+1有一个负根,但没有正根,由图象可知a≥1故答案为:a≥1【点评】本题考查根的存在性及根的个数判断,考查数形结合思想,计算能力,是基础题.12.(4分)设O为坐标原点,P是以F为焦点的抛物线y2=2px(p>0)上任意一点,M是线段PF上的点,且|PM|=2|MF|,则直线OM的斜率的最大值为.【考点】抛物线的简单性质.【专题】综合题;转化思想;综合法;圆锥曲线的定义、性质与方程.【分析】根据体积,建立方程组,求出M的坐标,可得直线OM的斜率,利用基本不等式可得结论.【解答】解:设P(2pt,2pt),M(x,y),则,∴x=,y=,∴k OM==≤=,当且仅当t=时取等号,∴直线OM的斜率的最大值为.故答案为:.【点评】本题考查抛物线的方程及运用,考查直线的斜率的最大值,考查基本不等式,考查运算能力,属于中档题.13.(4分)已知函数f(x)=sin(ωx+φ)(ω>0,|φ|≤),x=﹣为f(x)的零点,x=为y=f(x)图象的对称轴,且f(x)在(,)单调,则ω的最大值为9 .【考点】正弦函数的图象.【专题】转化思想;综合法;三角函数的图像与性质.【分析】先跟据正弦函数的零点以及它的图象的对称性,判断ω为奇数,由f(x)在(,)单调,可得ω•+φ≥2kπ﹣,且ω•+φ≤2kπ+,k∈Z,由此求得ω的范围,检验可得它的最大值.【解答】解:∵函数f(x)=sin(ωx+φ)(ω>0,|φ|≤),x=﹣为f(x)的零点,x=为y=f(x)图象的对称轴,∴ω(﹣)+φ=nπ,n∈Z,且ω•+φ=n′π+,n′∈Z,∴相减可得ω•=(n′﹣n)π+=kπ+,k∈Z,即ω=2k+1,即ω为奇数.∵f(x)在(,)单调,∴ω•+φ≥2kπ﹣,且ω•+φ≤2kπ+,k∈Z,即﹣ω•﹣φ≤﹣2kπ+①,且ω•+φ≤2kπ+,k∈Z ②,把①②可得ωπ≤π,∴ω≤12,故有奇数ω的最大值为11.当ω=11时,﹣+φ=kπ,k∈Z,∵|φ|≤,∴φ=﹣.此时f(x)=sin(11x﹣)在(,)上不单调,不满足题意.当ω=9时,﹣+φ=kπ,k∈Z,∵|φ|≤,∴φ=,此时f(x)=sin(9x+)在(,)上单调递减,满足题意;故ω的最大值为9,故答案为:9.【点评】本题主要考查正弦函数的零点以及它的图象的对称性,正弦函数的单调性的应用,属于中档题.14.(4分)在平面直角坐标系中,当P(x,y)不是原点时,定义P的“伴随点”为P′(,);当P是原点时,定义P的“伴随点“为它自身,平面曲线C上所有点的“伴随点”所构成的曲线C′定义为曲线C的“伴随曲线”.现有下列命题:①若点A的“伴随点”是点A′,则点A′的“伴随点”是点A;②单位圆的“伴随曲线”是它自身;③若曲线C关于x轴对称,则其“伴随曲线”C′关于y轴对称;④一条直线的“伴随曲线”是一条直线.其中的真命题是②③(写出所有真命题的序列).【考点】命题的真假判断与应用.【专题】综合题;转化思想;综合法;简易逻辑.【分析】利用新定义,对4个命题分别进行判断,即可得出结论.【解答】解:①若点A(x,y)的“伴随点”是点A′(,),则点A′(,)的“伴随点”是点(﹣x,﹣y),故不正确;②由①可知,单位圆的“伴随曲线”是它自身,故正确;③若曲线C关于x轴对称,点A(x,y)关于x轴的对称点为(x,﹣y),“伴随点”是点A′(﹣,),则其“伴随曲线”C′关于y轴对称,故正确;④设直线方程为y=kx+b(b≠0),点A(x,y)的“伴随点”是点A′(m,n),则∵点A(x,y)的“伴随点”是点A′(,),∴,∴x=﹣,y=∵m=,∴代入整理可得n﹣1=0表示圆,故不正确.故答案为:②③.【点评】此题考查点的坐标规律,读懂题目信息,理解“伴随点”的定义是解题的关键.二、选择题(本大题满分20分)本大题共有4题,每题有且只有一个正确答案,考生应在答题纸的相应编号上,填上正确的答案,选对得5分,否则一律得零分.15.(5分)钱大姐常说“好货不便宜”,她这句话的意思是:“好货”是“不便宜”的()A.充分条件 B.必要条件C.充分必要条件 D.既非充分又非必要条件【考点】必要条件、充分条件与充要条件的判断.【专题】压轴题;规律型.【分析】“好货不便宜”,其条件是:此货是好货,结论是此货不便宜,根据充要条件的定义进行判断即可,【解答】解:若p⇒q为真命题,则命题p是命题q的充分条件;“好货不便宜”,其条件是:此货是好货,结论是此货不便宜,由条件⇒结论.故“好货”是“不便宜”的充分条件.故选A【点评】本题考查了必要条件、充分条件与充要条件的判断,属于基础题.16.(5分)若D′是平面α外一点,则下列命题正确的是()A.过D′只能作一条直线与平面α相交B.过D′可作无数条直线与平面α垂直C.过D′只能作一条直线与平面α平行D.过D′可作无数条直线与平面α平行【考点】空间中直线与平面之间的位置关系.【专题】存在型.【分析】将点和线放置在正方体中,视平面α为正方体中的平面ABCD,结合正方体中的线面关系对选支进行判定,取出反例说明不正确的,正确的证明一下即可.【解答】解:观察正方体,A、过D′可以能作不止一条直线与平面α相交,故A错;B、过D′只可作一数条直线与平面α垂直,故B错;C、过D′能作不止一条直线与平面α平行,故C错;D、过平面外一点有且只有一个平面与已知平面平行,且这个平面内的任一条直线都与已知平面平行,故D对.故选D.【点评】本题主要考查了空间中直线与平面之间的位置关系,考查空间想象能力和推理论证能力,属于基础题.17.(5分)(2016秋•杨浦区校级月考)已知函数f(x)=sinϖx+cosωx(ω>0)的图象与x轴交点的横坐标依次构成一个公差为的等差数列,把函数f(x)的图象沿x轴向左平移个单位,得到函数g(x)的图象,则()A.g(x)是奇函数B.g(x)关于直线x=﹣对称C.g(x)在[,]上是增函数D.当x∈[,]时,g(x)的值域是【考点】函数y=Asin(ωx+φ)的图象变换.【专题】计算题;转化思想;综合法.【分析】将函数化简,图象与x轴交点的横坐标依次构成一个公差为的等差数列,可知周期为π,由周期求出ω,向左平移个单位可得g(x)的解析式,再利用三角函数图象及性质,可得结论.【解答】解:f(x)=sinϖx+cosωx(ω>0),化简得:f(x)=2sin(ϖx+),∵图象与x轴交点的横坐标依次构成一个公差为的等差数列,可知周期为π∴T=π=,解得ω=2.那么:f(x)=2sin(2x+),图象沿x轴向左平移个单位,得:2sin=2cos2x.∴g(x)=2cos2x,故g(x)是偶函数,在区间单调减函数.所以A,C不对.对称轴方程为x=(k=Z),检验B不对.当x∈[,]时,那么2x∈[,],g(x)的最大值为1,最小值为﹣2,故值域为.D正确.故选:D.【点评】本题考查了三角函数的辅助角公式的化简和图象的平移,三角函数的性质的运用能力.属于中档题.18.(5分)(2015•湖北)已知符号函数sgnx=,f(x)是R上的增函数,g(x)=f(x)﹣f(ax)(a>1),则()A.sgn=sgnx B.sgn=﹣sgnx C.sgn=sgn D.sgn=﹣sgn【考点】函数与方程的综合运用.【专题】函数的性质及应用.【分析】直接利用特殊法,设出函数f(x),以及a的值,判断选项即可.【解答】解:由于本题是选择题,可以采用特殊法,符号函数sgnx=,f(x)是R上的增函数,g(x)=f(x)﹣f(ax)(a>1),不妨令f(x)=x,a=2,则g(x)=f(x)﹣f(ax)=﹣x,sgn=﹣sgnx.所以A不正确,B正确,sgn=sgnx,C不正确;D正确;对于D,令f(x)=x+1,a=2,则g(x)=f(x)﹣f(ax)=﹣x,sgn=sgn(x+1)=;sgn=sgn(﹣x)=,﹣sgn=﹣sgn(x+1)=;所以D不正确;故选:B.【点评】本题考查函数表达式的比较,选取特殊值法是解决本题的关键,注意解题方法的积累,属于中档题.三、解答题(本大题满分74分)19.(12分)(2016春•寿县校级期末)△ABC的内角A,B,C的对边分别为a,b,c,已知2cosC (acosB+bcosA)=c.(Ⅰ)求C;(Ⅱ)若c=,△ABC的面积为,求△ABC的周长.【考点】解三角形.【专题】综合题;转化思想;综合法;解三角形.【分析】(Ⅰ)已知等式利用正弦定理化简,整理后利用两角和与差的正弦函数公式及诱导公式化简,根据sinC不为0求出cosC的值,即可确定出出C的度数;(2)利用余弦定理列出关系式,利用三角形面积公式列出关系式,求出a+b的值,即可求△ABC的周长.【解答】解:(Ⅰ)已知等式利用正弦定理化简得:2cosC(sinAcosB+sinBcosA)=sinC,整理得:2cosCsin(A+B)=sinC,∵sinC≠0,sin(A+B)=sinC∴cosC=,又0<C<π,∴C=;(Ⅱ)由余弦定理得7=a2+b2﹣2ab•,∴(a+b)2﹣3ab=7,∵S=absinC=ab=,∴ab=6,∴(a+b)2﹣18=7,∴a+b=5,∴△ABC的周长为5+.【点评】此题考查了正弦、余弦定理,三角形的面积公式,以及三角函数的恒等变形,熟练掌握定理及公式是解本题的关键.20.(2016秋•杨浦区校级月考)如图,在四棱锥P﹣ABCD中,AD∥BC,∠ADC=∠PAB=90°,(14分)BC=CD=AD.E为棱AD的中点,异面直线PA与CD所成的角为90°.(Ⅰ)在平面PAB内找一点M,使得直线CM∥平面PBE,并说明理由;(Ⅱ)若二面角P﹣CD﹣A的大小为45°,求直线PA与平面PCE所成角的正弦值.【考点】直线与平面所成的角;直线与平面平行的判定.【专题】数形结合;转化思想;空间位置关系与距离;空间角.(I)延长AB交直线CD于点M,由点E为AD的中点,可得AE=ED=AD,由BC=CD=AD,【分析】可得ED=BC,已知ED∥BC.可得四边形BCDE为平行四边形,即EB∥CD.利用线面平行的判定定理证明得直线CM∥平面PBE即可.(II)如图所示,由∠ADC=∠PAB=90°,异面直线PA与CD所成的角为90°AB∩CD=M,可得AP⊥平面ABCD.由CD⊥PD,PA⊥AD.因此∠PDA是二面角P﹣CD﹣A的平面角,大小为45°.PA=AD.不妨设AD=2,则BC=CD=AD=1.可得P(0,0,2),E(0,1,0),C(﹣1,2,0),利用法向量的性质、向量夹角公式、线面角计算公式即可得出.【解答】解:(I)延长AB交直线CD于点M,∵点E为AD的中点,∴AE=ED=AD,∵BC=CD=AD,∴ED=BC,∵AD∥BC,即ED∥BC.∴四边形BCDE为平行四边形,即EB∥CD.∵AB∩CD=M,∴M∈CD,∴CM∥BE,∵BE⊂平面PBE,∴CM∥平面PBE,∵M∈AB,AB⊂平面PAB,∴M∈平面PAB,故在平面PAB内可以找到一点M(M=AB∩CD),使得直线CM∥平面PBE.(II)如图所示,∵∠ADC=∠PAB=90°,异面直线PA与CD所成的角为90°,AB∩CD=M,∴AP⊥平面ABCD.∴CD⊥PD,PA⊥AD.因此∠PDA是二面角P﹣CD﹣A的平面角,大小为45°.∴PA=AD.不妨设AD=2,则BC=CD=AD=1.∴P(0,0,2),E(0,1,0),C(﹣1,2,0),∴=(﹣1,1,0),=(0,1,﹣2),=(0,0,2),设平面PCE的法向量为=(x,y,z),则,可得:.令y=2,则x=2,z=1,∴=(2,2,1).设直线PA与平面PCE所成角为θ,则sinθ====.【点评】本题考查了空间位置关系、空间角计算公式、法向量的性质,考查了空间想象能力、推理能力与计算能力,属于中档题.21.(14分)(2016•浙江)已知a≥3,函数F(x)=min{2|x﹣1|,x2﹣2ax+4a﹣2},其中min (p,q)=(Ⅰ)求使得等式F(x)=x2﹣2ax+4a﹣2成立的x的取值范围(Ⅱ)(i)求F(x)的最小值m(a)(ii)求F(x)在上的最大值M(a)【考点】函数最值的应用;函数的最值及其几何意义.【专题】新定义;函数思想;分析法;函数的性质及应用.【分析】(Ⅰ)由a≥3,讨论x≤1时,x>1,去掉绝对值,化简x2﹣2ax+4a﹣2﹣2|x﹣1|,判断符号,即可得到F(x)=x2﹣2ax+4a﹣2成立的x的取值范围;(Ⅱ)(i)设f(x)=2|x﹣1|,g(x)=x2﹣2ax+4a﹣2,求得f(x)和g(x)的最小值,再由新定义,可得F(x)的最小值;(ii)分别对当0≤x≤2时,当2<x≤6时,讨论F(x)的最大值,即可得到F(x)在上的最大值M(a).【解答】解:(Ⅰ)由a≥3,故x≤1时,x2﹣2ax+4a﹣2﹣2|x﹣1|=x2+2(a﹣1)(2﹣x)>0;当x>1时,x2﹣2ax+4a﹣2﹣2|x﹣1|=x2﹣(2+2a)x+4a=(x﹣2)(x﹣2a),则等式F(x)=x2﹣2ax+4a﹣2成立的x的取值范围是;(Ⅱ)(i)设f(x)=2|x﹣1|,g(x)=x2﹣2ax+4a﹣2,则f(x)min=f(1)=0,g(x)min=g(a)=﹣a2+4a﹣2.由﹣a2+4a﹣2=0,解得a=2+(负的舍去),由F(x)的定义可得m(a)=min{f(1),g(a)},即m(a)=;(ii)当0≤x≤2时,F(x)≤f(x)≤max{f(0),f(2)}=2=F(2);当2<x≤6时,F(x)≤g(x)≤max{g(2),g(6)}=max{2,34﹣8a}=max{F(2),F(6)}.则M(a)=.【点评】本题考查新定义的理解和运用,考查分类讨论的思想方法,以及二次函数的最值的求法,不等式的性质,考查化简整理的运算能力,属于中档题.22.(16分)(2015•闵行区二模)各项均为正数的数列{b n}的前n项和为S n,且对任意正整数n,都有2S n=b n(b n+1).(1)求数列{b n}的通项公式;(2)如果等比数列{a n}共有2015项,其首项与公比均为2,在数列{a n}的每相邻两项a k与a k+1之间插入k个(﹣1)k b k(k∈N*)后,得到一个新的数列{c n}.求数列{c n}中所有项的和;(3)如果存在n∈N*,使不等式成立,求实数λ的范围.【考点】数列与不等式的综合;数列的求和.【专题】等差数列与等比数列;不等式的解法及应用.【分析】(1)运用数列的通项和前n项和的关系,结合等差数列的定义和通项公式,即可得到;(2)运用等比数列的求和公式和数列求和方法:分组求和,即可得到所求;(3)运用参数分离可得,运用基本不等式和单调性,分别求出不等式左右两边的最值,即可得到所求范围.【解答】解:(1)当n=1时,由2S1=b1(b1+1)得b1=1,当n≥2时,由2S n=b n(b n+1),2S n﹣1=b n﹣1(b n﹣1+1)得(b n+b n﹣1)(b n﹣b n﹣1)=b n+b n﹣1因数列{b n}的各项均为正数,所以b n﹣b n﹣1=1,所以数列{b n}是首项与公差均为1的等差数列,所以数列{b n}的通项公式为b n=n.(2)数列{a n}的通项公式为,数列{c n}共有2015+1+2+…+2014=1008×2015项,其所有项的和为S1008×2015=(2+22+…+22015)+(﹣1+22﹣32+42﹣…20132+20142)=2(22015﹣1)+=22016﹣2+×1007=22016+2015×1007﹣2=22016+2029103;(3)由,得,记因为,当取等号,所以取不到,当n=3时,的最小值为(n ∈N*)递减,的最大值为B1=6,所以如果存在n∈N*,使不等式成立实数λ应满足A3≤λ≤B1,即实数λ的范围应为.【点评】本题考查数列的通项和前n项和的关系,主要考查等差数列和等比数列的通项和求和公式的运用,同时考查不等式存在性问题转化为求最值问题,具有一定的难度和综合性.23.(18分)(2013•上海)如图,已知双曲线C1:,曲线C2:|y|=|x|+1,P是平面内一点,若存在过点P的直线与C1,C2都有公共点,则称P为“C1﹣C2型点”(1)在正确证明C1的左焦点是“C1﹣C2型点“时,要使用一条过该焦点的直线,试写出一条这样的直线的方程(不要求验证);(2)设直线y=kx与C2有公共点,求证|k|>1,进而证明原点不是“C1﹣C2型点”;(3)求证:圆x2+y2=内的点都不是“C1﹣C2型点”【考点】直线与圆锥曲线的关系;点到直线的距离公式;双曲线的简单性质.【专题】压轴题;新定义;圆锥曲线的定义、性质与方程.【分析】(1)由双曲线方程可知,双曲线的左焦点为(),当过左焦点的直线的斜率不存在时满足左焦点是“C1﹣C2型点”,当斜率存在时,要保证斜率的绝对值大于等于该焦点与(0,1)连线的斜率;(2)由直线y=kx与C2有公共点联立方程组有实数解得到|k|>1,分过原点的直线斜率不存在和斜率存在两种情况说明过远点的直线不可能同时与C1和C2有公共点;(3)由给出的圆的方程得到圆的图形夹在直线y=x±1与y=﹣x±1之间,进而说明当|k|≤1时过圆内的点且斜率为k的直线与C2无公共点,当|k|>1时,过圆内的点且斜率为k的直线与C2有公共点,再由圆心到直线的距离小于半径列式得出k的范围,结果与|k|>1矛盾.从而证明了结论.【解答】(1)解:C1的左焦点为(),写出的直线方程可以是以下形式:或,其中.(2)证明:因为直线y=kx与C2有公共点,所以方程组有实数解,因此|kx|=|x|+1,得.若原点是“C1﹣C2型点”,则存在过原点的直线与C1、C2都有公共点.考虑过原点与C2有公共点的直线x=0或y=kx(|k|>1).显然直线x=0与C1无公共点.如果直线为y=kx(|k|>1),则由方程组,得,矛盾.所以直线y=kx(|k|>1)与C1也无公共点.因此原点不是“C1﹣C2型点”.(3)证明:记圆O:,取圆O内的一点Q,设有经过Q的直线l与C1,C2都有公共点,显然l不与x轴垂直,故可设l:y=kx+b.若|k|≤1,由于圆O夹在两组平行线y=x±1与y=﹣x±1之间,因此圆O也夹在直线y=kx±1与y=﹣kx±1之间,从而过Q且以k为斜率的直线l与C2无公共点,矛盾,所以|k|>1.因为l与C1由公共点,所以方程组有实数解,得(1﹣2k2)x2﹣4kbx﹣2b2﹣2=0.因为|k|>1,所以1﹣2k2≠0,因此△=(4kb)2﹣4(1﹣2k2)(﹣2b2﹣2)=8(b2+1﹣2k2)≥0,即b2≥2k2﹣1.因为圆O的圆心(0,0)到直线l的距离,所以,从而,得k2<1,与|k|>1矛盾.因此,圆内的点不是“C1﹣C2型点”.【点评】本题考查了双曲线的简单几何性质,考查了点到直线的距离公式,考查了直线与圆锥曲线的关系,直线与圆锥曲线联系在一起的综合题在高考中多以高档题、压轴题出现,主要涉及位置关系的判定,弦长问题、最值问题、对称问题、轨迹问题等.突出考查了数形结合、分类讨论、函数与方程、等价转化等数学思想方法.属难题.。
上海交通大学附属中学高三数学月考试卷
上海交通大学附属中学高三数学月考试卷(理)(说明:本试卷满分150分,考试时间120分钟。
本套试卷另附答题纸,每道题的解答必须写在答题纸的相应位置,本卷上任何解答都不作评分依据...........................。
) 一、填空题(本大题满分56分,每题4分,填错或不填在正确的位置一律得零分) 1.已知复数z 满足i z i =-)1(,则z = 2.已知集合{}{}lg(1),213S x y x T x x ==-=-≤,则ST =_________.3.在等差数列{}n a 中,已知137=a ,2915=a ,则通项公式n a =_____________.4.若P 是圆012422=++-+y x y x 上的动点,则P 到直线02434=+-y x 的最小距离是_____________.5.某区有200名学生参加数学竞赛,随机抽取10名学生成绩如下:则总体标准差的点估计值是 .(精确到0.01) 6.函数3sin sin()y x x π=+的最大值是______________.7.二项式9)1(xx -展开式中的常数项为 .8.已知曲线12C C ,的极坐标方程分别为π4cos 002ρθρθ⎛⎫=< ⎪⎝⎭,≥≤,cos 3ρθ=,则曲线1C 与2C 交点的一个极坐标为 .9.若12332lim 21112=⋅+⋅-++-∞→n n n n n a a ,则=a 。
10.已知)(x f 是最小正周期为2的函数,当(1,1]x ∈-时,()f x =若在区间(3,5]上ax x f =)(有两个不相等的实数根,则实数a 的取值范围是___________11.某校学生在上学路上要经过2个路口,假设在各路口是否遇到红灯是相互独立的,遇到红灯的概率都是13,遇到红灯时停留的时间都是2分钟.则该校某个学生在上学路上因遇到红灯停留的总时间ξ的均值等于 分钟.12.设直线m 与平面α相交但不.垂直,则下列所有正确的命题序号是 . ①在平面α内有且只有一条直线与直线m 垂直; ②过直线m 有且只有一个平面与平面α垂直;成 绩 人 数40 1150 60 221370 80 90③与直线m 平行的直线不.可能与平面α垂直; ④与直线m 垂直的直线不.可能与平面α平行; ⑤与直线m 平行的平面不.可能与平面α垂直. 13.已知定义域为R 的偶函数)(x f ,对于任意R x ∈,满足)2()2(x f x f -=+。
2017-2018上海交大附中高三上英语10月考试
上海交通附属中学2017-2018学年度第一学期高三英语月考试卷Ⅰ. Listening Comprehension ( 略 )Ⅱ. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.AA young man was getting ready to graduate from college. For many months he had wanted a beautiful sports car in a show room, and(21) (know) his father could well afford it, he told him that was all he wanted.As Graduation Day came near, the young man expected signs (22) that his father had bought the gift. Finally, on the morning of his graduation, his father called him into his own study and told him how proud he was (23) ( have) such a fine son, and told him how much he loved him. He handed his son a beautifully wrapped gift box.Curious, and somewhat disappointed, the young man opened the box and found a lovely, leather (24) (bind) Bible, with the young man’s name pressed in gold. Angry, he raised his voice to his father, and said "With all your money, you give me a Bible?" and stormed(25)the house.Many years passed and the young man was very successful in business. He had a beautiful home and wonderful family, (26) realized his father was very old, and thought perhaps he should go to him.However, (27) he could make arrangements, he received a telegram(28)(tell)him his father had passed away, and willed all his possessions to his son. When he arrived at his father’s house, sudden sadness and regret filled his heart. He began to search through his father’s important papers and saw the still gift - wrapped Bible just as he (29) (leave)had left it years ago. With tears, he opened the Bible and began to turn the pages.Suddenly, a car key dropped from the back of the Bible. It had a tag, which (30) (read)the date of his graduation on it, and the words PAID IN FULL.( B)The need to feed a growing population is putting much pressure on the world’s supply of water. (31) 97% of the world’s water too salty to be drunk or used in agriculture, the worldwide supply of water needs careful management, especially in agriculture. (32) the idea of a water shortage seems strange to someone fortunate enough to live in a high rainfall country, many of the world’s agricultural industries(33) (experience) constant water shortages.A. imposeB. moralC. toleratedD. angerE. ingredientF. containG. loosening H. attitudes I. punish J. disadvantaged K. excusesAlthough dams can be built to store water for agricultural use in dry areas and dry seasons, the costs of water redistribution are very high. Not only is there the cost of the engineering itself, but there is also an environmental cost to be considered. (34) valleys(山谷)are flooded to create dams, houses are lost and wildlife homes destroyed. Besides, water may flow easily through pipes to fields, but it cannot be transported from one side of the world to (35) . Each country (36) farming requirements.therefore rely on the management of its own water to supply its This is particularly troubling for countries with agricultural industries in areas dependent on irrigation. In Texas, farmers" overuse of irrigation water (37) (result) in a 25% reduction of the water stores. In the Central Valley area of southwestern USA, a huge water engineering project provided water (38) managed.farming in dry valleys, but much of the water use has been poorly Saudi Arabia’s attempts(39) (grow) wheat in desert areas have seen the pumping of huge quantities of irrigation water from underground reserves. Because there is no rainfall in these areas, such reserves can only decrease, and it is believed that fifty years of pumping (40) (see )them run dry.Section BDirections: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.A wise man once said that the only thing necessary for the victory of evil is for good men to do nothing. So, as a police officer, I have some urgent things to say to good people. Day after day my men and I struggle to 41 an epidemic of crime. Something has gone terribly wrong with our once-proud American way of life. It has happened in the area of values. A significant 42 is disappearing, and I think I know what it is: accountability.Accounta bility isn’t hard to define. It means that every person is responsible for his or her actions and liable for their consequences. Of the many values that hold civilization together --- honesty, kindness, and so on --- accountability may be the most important of all. Without it, there can be no respect, no trust, no law --- and, ultimately, no society. My job as a police officer is to 43 accountability on people who refuse, or have never learned, to impose it on themselves. But as every policeman knows, exter nal controls on people’s behavior are far less effective than internal restraints such as guilt, shame and embarrassment.Fortunately there are still communities --- smaller towns, usually --- where schools maintain discipline and where parents hold up standards that declare: “In this family certain things are not 44 --- they simply are not done!” Yet more and more, especially in our larger cities and suburbs, these inner restraints are 45 . Your typical robber has none. He considers your property his property; he takes what he wants, including your life if you 46 him.The main cause of this breakdown is a radical shift in 47 . Thirty years ago, if a crime was committed, society was considered the victim. Now, in a shocking reversal, it’s the criminal who is considered victimized: by his underprivileged upbringing, by the school that didn’t teach him to read, by the church that failed to reach him with 48 guidance, by the parents who didn’t provide a stable home.I don’t believe it. Many others in equally 49 circumstances choose not to engage in criminal activities. If we free the criminal, even partly, from accountability, we become a society of endless 50 where no one accepts responsibility for anything. We in America desperately need more people who believe that the person who commits a crime is the one responsible for it..Ⅲ. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.A recent survey in the United States showed that the average family spent more money on its pets than on its children. Although rather shocking, it should not 51 surprise anyone who has seen the doggy parlors(客厅) where loved pets rest. It is possible that : Americans are unique in treating their little friends in this way, but the information we have suggests that the English, too, are 52 to their pets.This can clearly be seen when we look at pet foods, which often contain more vitamins than human food or at least, are 53 less nutrition. They certainly cost much. Last year the British public spent two hundred million pounds on pet food alone, 54 veterinary (兽医的)bills or animal furniture. It is difficult not to feel 55 with this when considering what the same amount could do for victims of starvation and poverty, so it is 56 for me to get hot under collar when I read an old man left all his money to his dog instead of his children.There are a variety of reasons why I find the popularity of British pets 57 . They cause physical problems. An example of this is New York where they have great difficulty getting rid of the mess that dogs leave on the streets. Many people find this funny, but in a number of large cities it is a major problem. Animals can cause disease, too. It is the threat of rabies — a disease with no known cure - that has made the English government impose strict 58 on animals coming into the United Kingdom. When the Spanish government recently 59 a number of stray dogs as protection against the same threat, English tourists immediately wrote letters to the newspapers 60 about ’mass murder’.Another problem is the 61 of pet owners. Most little children want a dog or a cat, and they continually push their mothers and fathers until they get one. It is only when the "sweet little thing" has been brought home that the parents realize how much time and money must be spent on "Rover" or "Bonzo". Then they just 62 it. This brings me to my last point. Pets, which run free, are often not 63 at all. English farmers lose hundreds of sheep a year, killed by someone's pet and you must have read of children being hurt by some pets of their own.64 , I would only suggest that we have got our 65 wrong and that something should be done about it. In my view, it's time we stopped being sentimental about pets.51. A. alert B. surprise C. disappoint D. interest52. A. hostile B. polite C. subject D. available53. A. seldom B. far C. frequently D. totally54. A. in spite of B. regardless of C. not to mention D. rather than55. A. delighted B. patient C. concerned D. unsatisfied56.A. usual B. natural C. ridiculous D. essential57. A. inevitable B. understandable C. unacceptable D. common58. A. orders B. punishments C. treatments D. restriction59. A. cured B. destroyed C. enclosed D. drove60.A. inquiring B. caring C. worrying D. complaining61.A. thoughtlessness B. hesitation C. expectation D. kindness62. A. isolate B. scold C. desert D. bind63. A. funny B. sweet C. precious D. loving64. A. Nevertheless B. Moreover C. Therefore D. Meanwhile65. A. mind B. behavior C. love D. prioritySection BDirections: Read the following three passage. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.(A)In agrarian(农业的),pre-industrial Europe, "you'd want to wake up early, start working with the sunrise, have a break to have the largest meal, and then you'd go back to work," says Ken Albala, a professor of history at the University of the Pacific, "Later, at 5 or 6, you'd have a smaller supper." This comfortable cycle, in which the rhythms of the day helped shape the rhythms of the meals, gave rise to the custom of the large midday meal, eaten with the extended family, "Meal are the foundation of the family,' says Carole Couniban. a professor at Millersville University in Peensylvania, "so there was a very important interconnection between eating together" and strength- eating family ties.Since industrialization, maintaining such a slow cultural metabolism has been much harder. With the long midday meal shrinking to whatever could be stuffed into a lunch bucket or bought at a food stand. Certainly, there were benefits. Modern techniques for producing and shipping food led to greater variety and quantity, including a tremendous, increase in the amount of animal protein and dairy products available, making us more vigorous than our ancestors.Yet plenty has been lost too, even in cultures that still live to eat. Take Italy. It's no secret that the Mediterranean diet is healthy, but it was also a joy to prepare and cat. Italians, says Counihan, traditionally began the day with a small meal. The big meal came at around 1 p.m. In between the midday meal and a late, smaller dinner came a small snack. Today, when time zones have less and less meaning, there is little tolerance for offices' closing for lunch, and worsening traffic in cities means workers can't make it home and back fast enough anyway. So the formerly small supper after sundown becomes the big meal of the day. the only one at which the family has a chance to gettogether. "The evening meal carries the full burden that used to be spread over two meals" says Counihan.66.What do we learn from the passage about people in pre-industrial Europe?A.They had to work from early morning till late at night.B.They were so busy working that they only ate simple meals.C.Their daily routine followed the rhythm of the natural cycle.D.Their life was much more comfortable than that of today.67.What does "cultural metabolism"(Line 1 ,Para. 3) refer to?A.Evolutionary adaptation.B.Changes in lifestyle.C.Social progress.D.Pace of life.68.What does the author think of the food people eat today?A.Its quality is usually guaranteed.B.It is varied, abundant and nutritious.C.It is more costly than what our ancestors ate.D.Its production depends too much on technology.69.What does the author say about Italians of the old days.A.They enjoyed cooking as well as eating.B.They ate a big dinner late in the evening.C.They ate three meals regularly every day.D.They were expert at cooking meals.(B)Supersized activities for your little ones at Sentosaduring the June HolidaysStorytelling Comes Alive!Date: Every Wed –Sun at 11:30 am.3:30 pm &5:30 pmVenue: Images of Singapore ForecourtAdmission: FreeEnjoy SUPERSIZED activities for the entire family this June at our international award- winning interactive event, Story Telling Comes Alive! This is where the story teller uses a giant storybook, puppetry and characters coming alive to bring the exciting and fun storiesto life.Art Excursion at SentosaDate: 8 &15 June 2015 (Children)22 June 2015 (Family)Time: 9am – 5pmAdmission: $120 per child (Sentosa Play Pass: $90 per child)$360 per family (Sentosa Play Pass: $270 per family)Unleash your child’s creativity with the Art Excursion conducted by My Art Studio. Participantswill have the opportunity to exchange creative ideas inspired by what they experience as they move through various stations in Sentosa.Boogie with Captain PalawanDate: Every Tuesdays to FridaysTime: 2:25 pm & 4:15 pmAdmission: FreeJoin in the boogie fun with Captain Palawan on the Beach! Bop to the rhythm and you may dance your way to some prizes!Storytelling at Underwater World SingaporeDate: 1-24 June 2015, every Sat& SunTime: 11:45 am & 3:15 pmVenue: Underwater World SingaporAdmission: $ 20 per adult$10 per childCome and listen to storyteller, Denise Tan, as she shares stories about marine animals and marine conservation in the Living Fossils Hall filled with displays of ancient marines animals. Promotions:Play to your heart’s content with a day trip to Sentosa. Enjoy greater value at Sentosa with the Sentosa Play Pass now!Visit 16 attractions with one pass to enjoy more than 60% 60% discount on admission charges! Visit for more information.Get your SentosaPlayPass at any Sentosa ticketing counters or selected TransitLink ticket offices. Sentosa 40th CelebrationSimply spend a minimum of $40 in a single receipt and stand a chance to win attractive prizes! Visit or call James at 6432789.Available during weekdays form 9-5pm at bugis, ChangiAirport, Chinatown, City Hall and Orchard stations. Somerset stations is open from 9am-12(noon) on weekends.Terms and conditions apply.Exclude Art Excursion at Sentosa.70.John, who is a Sentosa PLAY Pass holder, needn’t pay for the activities EXCEPT .A.Storytelling Comes AliveB.Art Excursion at SentosaC.Boogie with Captain PalawanD.Storytelling at Underwater World Singapore71.Which of the following statements is true?A.Boogie with Captain Palawan is an activity that happens daily.B.Denise Tan will share her stories at Images of Singapore Forecourt.C.Storytelling Comes Alive is recognized globally for its engaging content.D.You will win prizes if you spend at least $40 in a single receipt at Sentosa.72.On a Saturday at 2pm, Mr Smith and his family want to buy the Sentosa Play Pass. He shouldgo to .A.Bugis stationB. Somerset stationC. any TransitLink ticket officeD. any Sentosa ticketing office( C)I'll admit I've never quite understood the obsession(难以破除的成见)surrounding genetically modified (GM) crops. To environmentalist opponents, GM foods are simply evil, an understudied, possibly harmful tool used by big agricultural businesses to control global seed markets and crush local farmers. They argue that GM foods have never delivered on their supposed promise, that money spent on GM crops would be better channeled to organic farming and that consumers should be protected with warning labels on any products that contain genetically modified ingredients. To supporters, GM crops are a key part of the effort to sustainably provide food to meet a growing global population. But more than that, supporters see the GM opposition of many environmentalists as fundamentally anti-science, no different than those who question the basics of man-made climate change.For both sides, GM foods seem to act as a symbol: you're pro-agricultural business or anti- science. But science is exactly what we need more of when it comes to GM foods, which is why I was happy to see Nature devote a special series of articles to the GM food controversy. The conclusion: while GM crops haven't yet realized their initial promise and have been dominated by agricultural businesses, there is reason to continue to use and develop them to help meet the enormous challenge of sustainably feeding a growing planet.That doesn't mean GM crops are perfect, or a one-size-fits-all solution to global agriculture problems. But anything that can increase farming efficiency----the amount of crops we can produce per acre of land----will be extremely useful. GM crops can and almost certainly will be part of that suite of tools' but so will traditional plant breeding, improved soil and crop management---and perhaps most important of all, better storage and transport infrastructure(基础设施), especially in the developing world. (It doesn't do much good for farmers in places like sub-Saharan Africa to produce more food if they can't get it to hungry consumers.) I'd like to see more non-industry research done on GM crops—not just because we'd worry less about bias, but also because seed companies like Monsanto and Pioneer shouldn't be the only entities working to harness genetic modification. I'd like to see GM research on less commercial crops, like com. I don't think it's vital to label GM ingredients in food, but I also wouldn't be against it---and industry would be smart to go along with labeling, just as a way of removing fears about the technology.Most of all, though, I wish a tenth of the energy that's spent endlessly debating GM crops was focused on those more pressing challenges for global agriculture. There are much bigger battles to fight.73.How do environmentalist opponents view GM foods according to the passage?A)They will eventually ruin agriculture and the environment.B)They are used by big businesses to monopolize agriculture.C)They have proved potentially harmful to consumers' health.D)They pose a tremendous threat to current farming practice.74 . What does the author say is vital to solving the controversy between the two sides of the debate?A) Breaking the GM food monopoly. B) More friendly exchange of ideas.C) Regulating GM food production. D) More scientific research on GM crops.75.What is the author's view on the solution to agricultural problems?A)It has to depend more and more on GM technology.B)It is vital to the sustainable development of human society.C)GM crops should be allowed until better alternatives are found.D)Whatever is useful to boost farming efficiency should be encouraged.76.What does the author think of the ongoing debate around GM crops?A)It arises out of ignorance of and prejudice against new science.B)It distracts the public attention from other key issues of the world.C)Efforts spent on it should be turned to more urgent issues of agriculture.D)Neither side is likely to give in until more convincing evidence is found.Section CDirections : Complete the following passage by using the sentences given below . Each sentence can be used only once. Note that there are two sentences than you need.A.One should be prepared to analyze all the problems.B.But do you really have an accurate idea what they mean?C.This growing trend of reporting only part of the information is becoming dangerous.D.These statistics may horrify you and mislead you.E.lf we teenagers are to be left this world. we had better be able to think critically, and form our own views, rather than be easily persuaded by another'sF.The point of this article is that one should be aware of what is and is not being said.This is a dangerous world we live in. The number of murders goes up every year, people are dying of cancer, more people contract ( 感染)HIV, more teens are using drugs, etc. You know this because you've heard all the statistics on the news and in the paper. 77 The numbers are going up, but how do they compare to the growth in population? Are more cases of these diseases being reported because of better testing techniques, or are the diseases more common? The fact is that without knowing the background statistics mean very little.78_ . For example, several years ago a high school student reported the dangers of the chemical known as dihydrogen monoxide(一氧化二氢). This chemical, found in most cancerous umors( 肿瘤) ,is often found in the blood of people drunk on alcohol, andcauses complete physical and mental dependence for those who take the chemical even once. A fter reading his report, more than 75% of his Advanced Placement Chemistry class voted to forbid thisdangerous chemical! Every one of the above statements is true, yet this chemical is necessary to all life on earth. The students made the mistake because they voted knowing only a few statements and statistics, rather than the chemical's full background.79 . When one finds a new fact or number , one should try to consider other important information before forming an opinion with only half-truths. Always remember that the author is trying to convince you of his or her own view, and will leave out information that is different to his view. For example, look again at the statistics that suggest skiing is safe. Only people may die each year when skiing, while 897 die from lightning strikes, but which is really the most dangerous? If you think about it, you realize far fewer people go skiing each year than the number of people who are in danger of a lightening strike. When you think about it ,skiing is more dangerous than you might at first think when looking at statistics.80 . To be warned is to be prepared.Ⅳ. Summary WritingDirections: Read the following passage . Summarize the main idea and the main point of the passage in no more than 60 words. Use your own words as far as possible.Like many students, Ryan believes that the time and money spent on his education will pay off, he will eventually be able to get a good job and do well in the field he has chosen. And yet, in spite of all of the years spent in school preparing to enter the workplace, many recent graduates say that they struggle with the shift from classroom to career world and have difficulty adjusting life on the job.Writer and editor Joseph Lewis suggests one reason why this is the case. Lewis believes that most of our school experiences—from childhood through university—are fairly predictable, while life in the working world is far more uncertain. In school, for example, the pattern stays more or less the same from year to year. In the workplace, however, constant change is the norm, and one has to adapt quickly.Another problem is that in school, many students spend a lot of time memorizing facts and repeating what they “learned” on tests. But in the workplace employees “are often expected to think critically and make decisions about their work, not jus t follow a supervisor’s instructions.” Less time needs to be spent in school on testing, says one recent report, and more on helping students to analyze and interpret information, solve problems, and communicate their ideas effectively—skills that will pre pare them to succeed in today’s workplace.Finally, In the workplace, employees must regularly interact with others and are often dependent on their co-workers for their success. In other words, if an employee has to work with others to complete a given pr oject, that employee’s success not only depends on his hard work and expertise, but also on how well his colleagues perform. Knowing how to participate effectively in teamwork—and deal with problems when they arise—is extremely important, and yet, it is also something many students don’t get quite exposed to in a school setting.How can we better prepare young adults for the workplace? Recent graduates, looking back on their educational experience, have some advice. Many think that all students should be required to do an internship (实习) while they are in school. Volunteering part time at a company, hospital, or government organization, for example, can help one gain experience and learn skills needed tosucceed in the real world. Doing these will help prepare students for the realities of the workplace and make the transition from school to career world less stressful.Ⅴ. TranslationsDirections: Translate the following sentences into English, using the words given in the brackets.1.太阳能源是未来人们赖以生存的可再生资源之一。
2017-2018学年上海交大附中高二上第一次月考化学试卷
37. Fe2O3 也是赤铁矿的主要成分,工业上若要得到 120t 纯度为 93%生铁需要含杂质 20%的(杂质不含铁
元素)赤铁矿的质量为多少________。
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18. 能与铝作用放出氢气的溶液中,可能大量共存的离子组是( )
A. NH4 、 Mg2 、 NO3 、 Cl
B. Cu 2 、 Na 、 HCO3 、 Br
C. Na 、 Fe2 、 SO42 、 NO3
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19. X、Y 为短周期元素,X 位于 IA 族,X 与 Y 可形成化合物 X2Y,下列说法正确的是( )
16. X、Y、Z、M 是元素周期表中前 20 号元素,其原子序数依次增大,且 X、Y、Z 相邻。X 的核电荷
数是 Y 的核外电子数的一半,Y 与 M 可形成化合物 M2Y。下列说法正确的是( )
A.还原性:X 的氢化物>Y 的氢化物>Z 的氢化物
B.简单离子的半径:M 的离子>Z 的离子>Y 的离子>泛用途。 29. 铝元素位于元素周期表中位于______________________。 30. 用化学方程式表示工业制备铝单质_________________________________。 铝热反应可用于焊接钢轨,下图为铝热反应的实验装置图。 31. 该铝热反应的化学方程式是_________________________________。
2017-2018学年上海交大附中高三(上)开学数学试卷(解析版)
2017-2018学年上海交大附中高三(上)开学数学试卷一、填空题1.(3分)若集合A={x||x﹣2|<3},集合,则A∪B=.2.(3分)一个几何体的主视图、左视图、俯视图都是以a为半径的圆,则该几何体的体积是.3.(3分)已知i是虚数单位,则﹣2的平方根是.4.(3分)函数f(x)=x2+1(x<0)的反函数是.5.(3分)设x,y满足约束条件,则z=2x+y的最小值是.6.(3分)如图,四个棱长为1的正方体排成一个正四棱柱,AB是一条侧棱,P i(i=1,2,…,16)是上、下底面上其余十六个点,则•(i=1,2…,16)的不同值的个数为.7.(3分)数列{a n}满足a n=a n﹣1﹣a n﹣2(n≥3,a1=5),其前n项和记为S n,若S8=9,那么S100=.8.(3分)若a n是(2+x)n(n∈N*,n≥2,x∈R)展开式中x2项的系数,则=.9.(3分)设函数f(x)=2sin(ωx+φ),x∈R,其中ω>0,|φ|<π,若f()=2,f ()=0,且f(x)的最小正周期大于π,则φ=.10.(3分)已知函数f(x)=,设a∈R,若关于x的不等式f(x)≥|+a|在R上恒成立,则a的取值范围是.11.(3分)函数f(x)=(x>0)绕原点逆时针旋转,每旋转15°得到一个新的曲线,旋转一周共得到24条曲线(不包括未旋转时的曲线),请问从中任选其二,均不是函数图象的概率是.12.(3分)已知两正实数a,b,满足a+b=4,则+的最大值为.二、选择题13.(3分)关于x,y的二元一次方程组,其中行列式D x为()A.B.C.D.14.(3分)“要使函数f(x)≥0成立,只要x不在区间[a,b]内就可以了”的意思是()A.如果f(x)≥0,则x∉[a,b]B.如果x∈[a,b],则f(x)<0C.如果x∉[a,b],则f(x)≥0D.前面三个都不正确15.(3分)参数方程(a>0,t为参数)所表示的函数y=f(x)是()A.图象关于原点对称B.图象关于直线x=π对称C.周期为2aπ的周期函数D.周期为的周期函数16.(3分)已知椭圆C:+=1,直线l:y=x﹣1,点P(1,0),直线l交椭圆C于A,B两点,则|P A|2+|PB|2的值为()A.B.C.D.三、解答题17.如图,在长方体ABCD﹣A1B1C1D1中,AB=2,AD=A1A=1.(1)证明直线BC1平行于平面D1AC;(2)求直线BC1到平面D1AC的距离.18.△ABC的内角A,B,C的对边分别为a,b,c,已知△ABC的面积为.(1)求sin B sin C;(2)若6cos B cos C=1,a=3,求△ABC的周长.19.(1)请根据对数函数f(x)=log a x(a>1)来指出函数g(x)=log x a(a>1)的基本性质(结论不要求证明),并画出图象;(2)拉普拉斯称赞对数是一项“使天文学家寿命倍増”的发明.对数可以将大数之间的乘除运算简化为加减运算,请证明:log a(x•y)=log a x+log a y(a>0,a≠1,y>0);(3)2017年5月23日至27日,围棋世界冠军柯洁与DeepMind公司开发的程序“AlphaGo”进行三局人机对弈,以复杂的围棋来测试人工智能.围棋复杂度的上限约为M=3361,而根据有关资料,可观测宇宙中普通物质的原子总数约为N=1080.甲、乙两个同学都估算了的近似值,甲认为是1073,乙认为是1093.现有两种定义:①若实数x,y满足|x﹣m|>|y﹣m|,则称y比x接近m;②若实数x,y,m,且x=10s,y=10t.m=10u x=10,满足|s﹣u|>|t﹣u|,则称y比x接近m;请你任选取其中一种定义来判断哪个同学的近似值更接近,并说明理由.20.已知数列{a n}和{b n}的通项公式分别为a n=3n+6,b n=2n+7(n∈N*),将集合{x|a n,n∈N*}∪{x|x=b n,n∈N*}中的元素从小到大依次排列,构成数列c1,c2,c3,…,c n,…;将集合{x|x=a n,n∈N*}∩{x=b n,n∈N*}中的元素从小到大依次排列,构成数列d1,d2,d3,…,d n,….(1)求数列{d n}的通项公式h(n);(2)求数列{c n}的通项公式f(n);(3)设数列{c n}的前n项和为S n,求数列{S n}的通项公式g(n).21.如图,已知曲线C1:﹣y2=1,曲线C2:|y|=|x|+1,P是平面上一点,若存在过点P 的直线与C1,C2都有公共点,则称P为“C1﹣C2型点”.(1)证明:C1的左焦点是“C1﹣C2型点”;(2)设直线y=kx与C2有公共点,求证:|k|>1,进而证明原点不是“C1﹣C2型点”;(3)求证:{(x,y)||x|+|y|<1}内的点都不是“C1﹣C2型点”.2017-2018学年上海交大附中高三(上)开学数学试卷参考答案与试题解析一、填空题1.【解答】解:集合A={x||x﹣2|<3}={x|﹣3<x﹣2<3}={x|﹣1<x<5},集合={x|x<0或x>3},所以A∪B=(﹣∞,+∞)=R故答案为:R.2.【解答】解:∵几何体的主视图、左视图、俯视图都是以a为半径的圆,∴该几何体是以a为半径的球,故体积V=,故答案为:3.【解答】解:﹣2的平方根是.故答案为:.4.【解答】解:∵函数f(x)=x2+1(x<0).∴x=﹣,互换x,y,得:y=﹣(x>1).故答案为:y=﹣(x>1).5.【解答】解:x,y满足约束条件的可行域如图:z=2x+y经过可行域的A时,目标函数取得最小值,由,解得A(﹣6,﹣3),则z=2x+y的最小值是:﹣15.故答案为:﹣15.6.【解答】解:当(i=1,2…,8)时,=+,则•=•(+)=||2+•,∵⊥,即•=0,∴⊥=||2=1,∴当(i=9,10,…,16)时,⊥,即•=0,故•的值为0或1,故答案为:2.7.【解答】解:∵a n=a n﹣1﹣a n﹣2(n≥3,a1=5),∴a3=a2﹣a1,a4=a3﹣a2,a5=a4﹣a3,a6=a5﹣a4,a7=a6﹣a5.∴a4=﹣a1,a5=﹣a2,a6=﹣a2+a1,a7=a1,a8=a2,…,∴a n+6=a n,S6=a1+a2+a2﹣a1﹣a1﹣a2﹣a2+a1=0.∵S8=9,a1=5,∴a2+a1=9.解得a2=4.∴S100=16S6+a1+a2+a3+a4=0+9+a2﹣2a1=9+4﹣10=3.故答案为:3.8.【解答】解:∵a n是(2+x)n(n∈N*,n≥2,x∈R)展开式中x2项的系数,又(2+x)n的展开式的通项公式为T r+1=•2n﹣r•x r,令r=2,可得x2项的系数为.∴a n=.∴=======8,故答案为:8.9.【解答】解:函数f(x)=2sin(ωx+φ),x∈R,其中ω>0,|φ|<π,若f()=2sin(+φ)=2,f()=2sin(+φ)=0,∴+φ=2kπ+①,且+φ=k′π,其中,k、k′∈Z②,相减可得ω=(2k﹣k′)π+.再根据f(x)的最小正周期>π,可得0<ω<2.∴ω=,再把ω=代入②,可得+φ=k′π,令k′=1,可得φ=,故答案为:.10.【解答】解:根据题意函数f(x)=的图象如图:令g(x)=|+a|,其图象与x轴相交与点(﹣2a,0),在区间(﹣∞,﹣2a)上为减函数,在(﹣2a,+∞)为增函数,若不等式f(x)≥|+a|在R上恒成立,则函数f(x)的图象在g(x)上的上方或相交,则必有f(0)≥g(0),即2≥|a|,解可得﹣2≤a≤2,故答案为:[﹣2,2].11.【解答】解:函数f(x)=(x>0)绕原点逆时针旋转,每旋转15°得到一个新的曲线,旋转一周共得到24条曲线(不包括未旋转时的曲线),其中有14条曲线是函数图象,的10条是曲线的图象,从中任选其二,基本事件总数n==176,∴从中任选其二,均不是函数图象的概率:p==.故答案为:.12.【解答】解:a,b>0且a+b=4,由a+b≥2,可得0<ab≤4,则+====,令1+ab=t(1<t≤5),则ab=t﹣1,可得+===,由t+≥2=4(当且仅当t=2∈(1,5]时取得等号),则≤=,当且仅当ab=2﹣1时,+取得最大值,故答案为:=.二、选择题13.【解答】解x,y的二元一次方程组,系数行列式:Dx=.故选:C.14.【解答】解:设条件P:函数f(x)≥0成立,条件Q:x不在区间[a,b]内.题中“要使函数f(x)≥0成立,只要x不在区间[a,b]内就可以了”,这句话反映了P为Q的必要条件,Q是P的充分条件即Q⇒P,换句话就是“若P,则Q”,也就是说“如果x∉[a,b],则f(x)≥0”故选:C.15.【解答】解:∵(a>0,t为参数),∴,即f(﹣x)=f(x),故函数图象关于y轴对称,不关于原点对称,故A错误;即f(2aπ﹣x)=f(x),即函数的图象关于x=aπ对称,由于a=1不一定成立,故B错误;即f(2aπ+x)=f(x),即函数是周期为2aπ的周期函数,故C正确,D错误;故选:C.16.【解答】解:联立,得7x2﹣8x﹣8=0.设A(x1,y1),B(x2,y2),则,∴=.|P A|•|PB|=2|(1﹣x1)(x2﹣1)|=2|﹣x1x2+(x1+x2)﹣1|=2||=.∴|P A|2+|PB|2=(|P A|+|PB|)2﹣2|P A|•|PB|=.故选:B.三、解答题17.【解答】(1)证明:∵AB C1D1,∴四边形ABC1D1是平行四边形,∴BC1∥AD1,又BC1⊄平面D1AC,AD1⊂平面D1AC,∴BC1∥平面D1AC.(2)解:∵BC1∥平面D1AC,∴直线BC1到平面D1AC的距离为B到平面D1AC的距离,连接BD交AC于O,则O为BD的中点,则B到平面D1AC的距离等于D到平面D1AC 的距离,∵AB=2,AD=A1A=1.∴AC=CD1=,AD1=,∴cos∠ACD1==,∴sin∠ACD1=,∴==.设D到平面D1AC的距离为d,则=•d=.又====,∴,即d=.∴直线BC1到平面D1AC的距离为.18.【解答】解:(1)由三角形的面积公式可得S△ABC=ac sin B=,∴3c sin B sin A=2a,由正弦定理可得3sin C sin B sin A=2sin A,∵sin A≠0,∴sin B sin C=;(2)∵6cos B cos C=1,∴cos B cos C=,∴cos B cos C﹣sin B sin C=﹣=﹣,∴cos(B+C)=﹣,∴cos A=,∵0<A<π,∴A=,∵===2R==2,∴sin B sin C=•===,∴bc=8,∵a2=b2+c2﹣2bc cos A,∴b2+c2﹣bc=9,∴(b+c)2=9+3cb=9+24=33,∴b+c=∴周长a+b+c=3+.19.【解答】解:(1)∵g(x)=log x a=,函数的定义域为:(0,1)∪(1,+∞),值域为:(﹣∞,0)∪(0,+∞),在区间(0,1)和(1,+∞)上均为减函数;函数的图象如下图所示:证明:(2)设log a x=M,log a y=N,则a M=x,a N=y,则log a(x•y)=log a(a M•a N)=log a(a M+N)=M+N,log a x+log a y=M+N,即log a(x•y)=log a x+log a y;解:(3)若采用定义(I):=,则lg()=lg()=361•lg3﹣80≈92.24,则∈(1073,1093),而lg(2•3361)=lg2+lg3361≈172.54<173=lg10173,即2•3361<10173,即2•3361<10173+10153,即2•<1093+1073,即|﹣1073|<|﹣1093|,即甲同学的近似值更接近若采用定义(II):=,则lg()=lg()=361•lg3﹣80≈92.24,甲的估计值1073,则lg1073=73,乙的估计值1093,则lg1093=93,因为|lg1073﹣lg|>|lg1093﹣lg|即乙同学的近似值更接近20.【解答】解:(1)设a2n﹣1=3(2n﹣1)+6=6n+3=b k=2k+7,则k=3n﹣2.即a2n﹣1=b3n﹣2.假设a2n=3×2n+6=6n+6=b k=2k+7,左边为偶数,右边为奇数,矛盾,a2n∉{b n},舍去.∴h(n)=a2n﹣1=6n+3.(2)对于a n=3n+6,当n为奇数时,设为n=2k+1,则3n+6=2(3k+1)+7∈{b n},当n为偶数时,设n=2k,则3n+6=6k﹣1+7不属于{b n},∴在数列{c n}中,但不在数列{b n}中的项恰为a2,a4,…,a2n,…;(2)b3k﹣2=2(3k﹣2)+7=a2k﹣1b3k﹣1=6k+5,a2k=6k+6,b3k=6k+7,∵6k+3<6k+5<6k+6<6k+7,∴当k=1时,依次有b1=a1=c1,b2=c2,a2=c3,b3=c4…∴c n=f(n)=.(3)令e n=c4k﹣3+c4k﹣2+c4k﹣1+c4k,由(2)可得:数列{e n}为等差数列.∴①n=4k时,S n=e1+e2+…+e k==12k2+33k=.∴②n=4k﹣1时,S n=S n+1﹣c n+1=.③n=4k﹣2时,S n=S n+2﹣c n+2﹣c n+1=.④n=4k﹣3时,S n=S n+3﹣c n+3﹣c n+2﹣c n+1=.∴g(n)=,k∈N*.21.【解答】证明:(1)C1的左焦点为(﹣,0),存在直线x=﹣时,与双曲线C1的交点为(﹣,±),与曲线C2交点为(﹣,±(1+)),则C1的左焦点是“C1﹣C2型点”;(2)因为直线y=kx与C2有公共点,所以方程组有实数解,因此|kx|=|x|+1,得|k|=>1.若原点是“C1﹣C2型点”,则存在过原点的直线与C1、C2都有公共点.考虑过原点与C2有公共点的直线x=0或y=kx(|k|>1).显然直线x=0与C1无公共点.如果直线为y=kx(|k|>1),则由方程组,得x2=,矛盾.所以直线y=kx(|k|>1)与C1也无公共点.因此原点不是“C1﹣C2型点”.(3)以|x|+|y|=1为边界的正方形区域为D,①若点P在D的边界上,则边所在直线与C1相切,且与C2有公共点,即边界上的点是“C1﹣C2型点”.②设P(x0,y0)是D内的点,则|x0|+|y0|<1,设P是“C1﹣C2型点”,则存在过点P的直线l:y﹣y0=k(x﹣x0)与C1,C2都有公共点.若直线l与C2有公共点,l:y=kx+y0﹣kx0,假设|k|≤1,则|kx+y0﹣kx0|≤|kx|+|y0|+|kx0|≤|x|+|y0|+|x0|≤|x|+1,可得l在C2之间,与C2无公共点,与直线l与C2有公共点,矛盾,所以与C2有公共点的直线l的|k|>1;假设l与C1也有公共点,有解,可得(1﹣2k2)x2﹣4k(y0﹣kx0)x﹣2[(y0﹣kx0)2+1]=0,△=16k2(y0﹣kx0)2+8(1﹣2k2)[(y0﹣kx0)2+1]=8[(y0﹣kx0)2+1﹣k2﹣k2],由|k|>1,|x0|+|y0|<1,可得|y0﹣kx0|≤|y0|+|kx0|≤|y0|+|k|(1﹣|y0|)=|k|+|y0|(1﹣|k|)<|k|,可得(y0﹣kx0)2<k2,所以△=8[(y0﹣kx0)2+1﹣k2﹣k2]<0,即l与C1无公共点,这与l与C1也有公共点,矛盾.于是P不为“C1﹣C2型点”.。
陕西省西安市交大附中2017-2018学年高三上学期期中考试化学试卷 Word版含解析
陕西省西安市交大附中高三上学期期2017-2018学年中考试化学试卷(带解析)一、单选题(共14小题)1.下列说法或推断正确的是()COONa、BaSO4都是强电解质①CH3②铅蓄电池、锂电池、碱性锌锰电池都属于二次电池SiO3溶液中通入CO2至过量,溶液先变浑浊后变澄清③向Na2④装强碱的试剂瓶需用橡胶塞,装溴水的试剂瓶需用玻璃塞⑤浓硫酸为强氧化剂,二氧化硫为强还原剂,所以不能用前者干燥后者⑥制作航天服的聚酯纤维和用于光缆的光导纤维都是新型无机非金属材料A.①④⑤B.①④C.②③D.②③⑥2.反应2SO2+O22SO3(g)经一段时间后,SO3的浓度增加了0.4 mol/L,在这段时间内用O2表示的反应速率为0.04 mol•L-1•s-1,则这段时间为()A.0.1 s B.2.5 sC.5 s D.10 s3.今有甲、乙、丙、丁、戊5种物质,在一定条件下,它们能按下图方式进行转化:其推断正确的是()A.①B.②C.③D.④4.用质量均为100g的铜片作电极,电解Ag NO3溶液,电解一段时间后两极质量相差28g,此时阳极质量为()A.121.6g B.93.6gC.89.6g D.88.2g5.下列关于反应过程中能量变化的说法正确的是()A.图中a、b曲线可分别表示反应CH2=CH2(g)+H2(g)→CH3CH3(g) ΔH<0使用和未使用催化剂时反应过程中的能量变化B.己知2C(s)+2O2(g)=2CO2(g) ΔH1 2C(s)+O2(g)=2CO(g) ΔH2 则ΔH1>ΔH2C.同温同压下,反应H2(g)+Cl2(g)=2HCl(g)在光照和点燃条件下的ΔH不同D.已知H+(aq)+OH-(aq)=H2O(1) △H=-57.4 kJ·mo1-1,,20g氢氧化钠固体溶于稀盐酸中恰好完全反应时放出的热量大于28.7kJ6.根据下列有关实验得出的结论一定正确的是()A.A B.B C.C D.D7.柠檬烯是一种食用香精,其结构简式如下图。
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2017-2018学年交大附中高三第一学期第一次测试卷一、语法One day a two-year-old boy had been trying to remove a bottle of milk from the refrigerator when he lost his grasp on the bottle and it fell, ____1____(spill) its contents all over the kitchen floor——a sea of milk!Seeing at this, his mother instead of shouting at him or punishing him, said, “Robert, what a wonderful mess you have made! I have rarely seen such a huge pool of milk. Well, the damage___2________(do). You know, Robert, __3______ a mess like this is made, it has to be cleaned up and everything restored to its proper order. So ,how would you like to do that? We___4_______ use a towel or a mop. Which do you prefer? ”He chose the towel and together they cleaned up the spilt milk.His mother then said, “Robert, what we had there was a _5______(fail) experiment in_6____ to effectively carry a milk bottle with two tiny hands. Let’s go out to the backyard and fill the bottle with water an d see if you can discover a way to carry it __7___ dropping it.” The little boy learned that if the bottle was grasped at the top near the lip with both hands, it could be carried without being dropped.At that moment the little boy came to understand he d idn’t need to be afraid _8____(make) mistakes. Instead, he learnt that mistakes were just opportunities for learning ___9______ new.Today, the boy is an outstanding scientist ___10_____ has made several important medical breakthroughs.二、选词When we think of green buildings, we tend to think of new ones-the kind of high-tech, solar-paneled masterpieces that make the covers of architecture magazines. But the US has more than 100 million existing homes, and it would be_____wasteful to tear them all down and _____ them with greener versions. A(n)_____ amount of energy and resources went into the construction of those houses. And it would take an average of 65 years for the_____carbon emissions from a new energy-efficient home to make up for the resources lost by destroying an old one. So in the broadest_____, the greatest home is the one that has already been built. But at the same time, nearly half of US carbon emissions come from heating, cooling and_____our homes, offices and other buildings. "You can't deal with climate change without dealing with existing building," says Richard Moe, the president of the National Trust.With some_____, the oldest homes tend to be the least energy-efficient. Houses built before1939 use about 50% more energy per square foot than those built after 2000, mainly due to the tiny cracks and gaps that _____over time and let in more outside air.Fortunately, there are a vast number of relatively simple changes that can green older homes, from_____ ones like Lincoln's Cottage to your own postwar home. And efficiency upgrades can save more than just the earth, they can help_____property owners from rising power costs.Ask most people how they define the American Dream and chances are they’ll say, “Success.”The dream of individual opportunity has been home in America since Europeans discovered a “new world” in the Western Hemisphere. Early immigrants like Hector St. Jean de Crevecoeur praised highly the freedom and opportunity to be found in this new land. His glowing descriptions of a__1___society where anyone could attain success through honesty and hard work fired the imaginations of many European readers: in Letters from an American Farmer (1782) he wrote. “We are all excited at the spirit of an industry which is unfettered (无拘无束的) and unrestrained, because each person works for himself … We have no princes, for whom we labor,starve, and bleed: we are the most perfect society now existing in the world.” The promise of a land where “the rewards of a man’s _2____follow with equal steps the progress of his labor” drew poor immigrants from Europe and___3__ national expansion into the western territories.Our national mythology is full of__4___ of the American success story. There’s Benjamin Franklin, the very model of the self-educated, self-made man, who rose from__5___origins to become a well-known scientist, philosopher, and statesman. In the nineteenth century, Horatio Alger, a writer of fiction for young boys, became American’s best-selling author with rags-to-riches tales. The__6___of success haunts us: we spend million every year reading about the rich and famous, learning how to “make a fortune in real estate with no money down,” and “dressing for success.” The myth of success has even__7___our personal relationships: today it’s as important to be “successful” in marriage or parenthoods as it is to come out on top in business.But dreams easily turn into nightmares. Every American who hopes to “make it” also knows the fear of failure, because the myth of success__8___ implies comparison between the haves and the have-nots, the stars and the anonymous crowd. Under pressure of the myth, we become indulged in __9___symbols: we try to live in the “right” neighborhoods, wear the “right” clothes, eat the “right” foods. These symbols of distinction assure us and others that we believe___10__in the fundamental equality of all, yet strive as hard as we can to separate ourselves from our fellow citizens.三、完型Playing organized sports is such a common experience in the United States that many children and teenagers take them for granted. This is especially true 41 children from families and communities that have the resources needed to organize and 42 sports programs and make sure that there is easy 43 to participation opportunities. Children in low-income families and poor communities are less likely to take organized youth sports for granted because they often 44 the resources needed to pay for participation 45 , equipment, and transportation to practices and games as their communities do not have resources to build and 46 sports fields and facilities.Organized youth sports first appeared during the early 20th century in the United States and other wealthy nations. They were originally developed 47 some educators and developmental experts 48 that the behavior and character of children were 49 influenced by their social surroundings and everyday experiences. This 50 many people to believe that if you could organize the experiences of children in 51 ways, you could influence the kinds of adults that those children would become.This belief that the social 52 influenced a person’s overall development was very 53 to people interested in progress and reform in the United States at the beginning of the 20th century. It caused them to think about 54 they might control the experiences of children to 55 responsible and productive adults. They believed strongly that democracy depended on responsibility and that a growing capitalist economy depended on the productivity of workers.41. A) among B) within C) on D) towards42. A) spread B) speed C) spin D) sponsor43. A) access B) entrance C) chance D) route44. A) shrink B) tighten C) limit D) lack45. A) bill B) accounts C) fees D) fare46. A) maintain B) contain C) sustain D) entertain47. A) before B) while C) until D) when48. A) realized B) recalled C) expected D) exhibited49. A) specifically B) excessively C) strongly D) exactly50. A) moved B) conducted C) put D) led51. A) precise B) precious C) particular D) peculiar52. A) engagement B) environment C) state D) status53. A) encouraging B) disappointing C) upsetting D) surprising54. A) what B) how C) whatever D) however55. A) multiply B) manufacture C) produce D) provide四、阅读(A)There Student thieves look out. Students can easily get many research papers off the Internet.A new Web site could help teachers catch copiers.Some students research and write their term papers. Others, however, just copy them off the Internet and turn them in as their work.Two graduate students at the University of California at Berkeley have written a program to catch the students who copy. It compares a student’s paper with every other term paper on the Web.A hundred million Web pages on the Internet are searched. The top 20 search engines are used for the search. This service can be found at www. plagiarism. com. They also have a local data base of term papers.Teachers who sign up can send their students’ papers to the Web site. Within 24 hours the y know if the student did the work.Every sentence that was a word-for-word match with another sentence either found on the Internet or within our database is coded.A U.C. Berkeley professor told his class he would use the program. Still some students copied papers. All 300 papers went through the program. In 45 papers or 15 percent of students had cut and pasted large amounts of material from different World Wide Web sites.Students that say they didn’t copy can defend themselves. They can show the ins tructors where they got their material. Students at universities try hard to get good grades. Some students welcome the Internet research watchdog because they say it is fair to all. They think copying is wrong.56. One reason why plagiarism has increased is that ______.A. student cheat more todayB. their reasoning and survival skills improvedC. students couldn’t find information to copy before the Internet was developedD. it is so easy to cut and paste papers or parts of papers from the Internet57. Using the program developed at University of California at Berkeley, the papers are checked by using ______.A. printing and looking carefully at hundreds of papers on the InternetB. a search of many Web pages and a comparison of words usedC. asking the student where they got the information in the paperD. comparing all the papers which are turned in by the students58. If teachers want to find out if their students wrote their own papers, ______.A. they ask other teachers to read their students’ papersB. they ask their students to list their sources of informationC. they can sign up for the Internet serviceD. they search the Internet and compare papersBIn modern society there is a great deal of argument about competition. Some value it highly, believing that it is responsible for social progress and prosperity. Others say that competition is bad; that it sets one person against another; that it leads to unfriendly relationship between people.I have taught many children who held the belief that their self-worth relied on how well they performed at tennis and other skills. For them, playing well and winning are often life-and-death affairs. In their single-minded pursuit of success, the development of many other human qualities is sadly forgotten.However, while some seem to be lost in the desire to succeed, others take an opposite attitude. In a culture which values only the winner and pays no attention to the ordinary players, they strongly blame competition. Among the most vocal are youngsters who have suffered under competitive pressures from their parents or society. Teaching these young people, I often observe in them a desire to fail. They seem to seek failure by not trying to win or achieve success. By not trying, they always have an excuse: " I may have lost, but it doesn't matter because I really didn't try." What is not usually admitted by themselves is the belief that if they had really tried and lost, that would mean a lot. Such a loss would be a measure of their worth. Clearly, this belief is the same as that of true competitors who try to prove themselves. Both are based on the mistaken belief that one's self-respect relies on how well one performs in comparison with others.Both are afraid of not being valued. Only as this basic and often troublesome fear begins to dissolve can we discover a new meaning in competition.59. What does this passage mainly talk about?A. Competition helps to set up self-respect.B. Opinions about competition are different among people.C. Competition is harmful to personal quality development.D. Failures are necessary experience in competition.60. The underlined phrase "the most vocal" in Paragraph 3 means ________.A. those who try their best to winB. those who value competition most highlyC. those who are against competition most stronglyD. those who rely on others most for success61. What is the similar belief of the true competitors and those with a "desire to fail"?A. One's worth lies in his performance compared with others.B. One's success in competition needs great efforts.C. One's achievement is determined by his particular skills.D. One's success is based on how hard he has tried.62. Which point of view may the author agree to?A. Every effort should be paid back.B. Competition should be encouraged.C. Winning should be a life-and-death matter.D. Fear of failure should be removed in competition.C篇About 40 years ago the famo us British band The Beatles sang that“money can’t buy me love”. Today British economists are saying that it perhaps can’t buy you happiness either. This is showed by the happy planet index published recently by the New Economics Foundation (NEF ) in London.The index is about how well countries are using their resources. It shows how well they provide people with better health and longer and happier lives and at what cost to their environment.It would seem to be a common sense that people in richer countries live happier lives while those in developing countries are having a harder time of it. But the results are surprising , even shocking. The numbers show that some of the so-called developed countries are performing very badly. The United States, for example , comes at an unbelievable number 150th. On the other hand, some little-known developing countries are doing a much better job. A tiny is land in the Pacific, Vanuatu comes in first. There are 178 countries and areas in the index. China ranks 31.Countries are graded on the basis of information supplied in response to the following questions. How do people feel about their live? How long does an average person live ? How intensively does a country need to use its natural resources -- such as oil, land and water--to maintain standards. This is what the index calls the “ecological footprint”.The NEF found that the people of island nations enjoy the highest HPI rankings. Their populations live happier and longer lives, and use fewer resources.The results also seem to show that it is possible to live longer, happier lives with a much smaller environmental impact . The index points out that people in the US and Germany enjoy similar lives.“However, Germany ‘s ecological footprint is only about half “ that of the US. This means that Germany is around twice as efficient as the US at producing happy lives,” says Nic Marks, head of NEF’s center for well-being.So happy planet Index(HPI) tells us a brand- new concept of understanding “being happy”. HPI figures out different countries or individuals’ HPI through their Ecological Footprint” and Life satisfaction Level “ or ” Life Expectancy”. Clearly, people’s HPI is related to their consumption of the resources on the earth.You can find out your own HPI by visiting http://www. happy planet /survey.htm.63. The story is mainly about ____________________.A. in which countries people feel the happiest.B.why money can’t you happiness.C.what index can influence people’s happiness.D.the happy planet index published recently64.According to the passage, the index has something to do with_________________.A.wealth, education, resources and heath.B. lives, heath, resources and environmentC.pressure, accommodation, resources and heathD. education, money, environment and resources65. Countries that have low HPI rankings___________________________.A. are only developing countries.B. have far fewer happy peopleC. have a greater impact on environmentD. do not enjoy plenty of resource66. The comparison between Germany and the US shows that______________________.A. some of the so-called developed countries are performing very badly.B. it is possible to live happier and longer lives with fewer resources.C. not all the people in developed countries enjoy happy lives.D. history and culture play an important role in people”s lives.六选四Directions: complete the following passage by using the sentences in the box. Each sentence can only be used once. Note that there are two sentences more than you need.A. He worried about possible German intervention in Latin America.B. Hitler resulted in Roosevel t’s final decision.C. They knew this would mean disaster.D. He decided it was best to attack Germany while its forces were divided.E. The allied forces launched their first attack in north Africa.F. He would use most of his forces to fight Germany.Japan's attack on Pearl Harbor in December nineteen forty-one had brought America into the war. And it had severely damaged American military power. But Roosevelt decided not to strike back at Japan immediately. 67 . There were several reasons for Roosevelt’s decision.First, Germany already controlled much of Europe, as well as much of the Atlantic Ocean. Roosevelt considered this a direct threat. 68 . Second, Germany was an advanced industrial nation. It had many scientists and engineers. Its factories were modern. Roosevelt was concerned that Germany might be able to develop deadly new weapons, such as an atomic bomb, if it was not stopped quickly. Third, Britain historically was one of America’s closest allies. And the British people were united and fighting for their lives against Germany. This was not true in Asia. Japan’s most important opponent was China. But China’sfighting forces were weak and divided, and could not offer strong opposition to the Japanese. Hitler’s decision to break his treaty with Josef Stalin and attack the Soviet Union made Roosevelt’s final choice. The American leader recognized that the Germans would have to fight on two fronts: in the west against Britain and in the east against Russia.69 . So Washington sent most of its troops and supplies to Britain to join the fight against Germany.American military leaders hoped to attack Germany quickly by launching an attack across the English Channel. Stalin also supported this plan. Soviet forces were suffering terrible losses from the Nazi attack and wanted the British and Americans to fight the Germans on the west.However, British Prime Minister Winston Churchill and other leaders opposed launching an invasion across the English Channel too quickly. They worried that such an invasion might fail, while the Germans were still so strong. 70 . For this reason, British and American forces decided instead to attack the Italian and German occupation troops in north Africa.概要写作:It is difficult to imagine what life would be like without memory. The meanings of thousands of everyday perceptions, the bases for the decisions we make, and the roots of our habits and skills are to be found in our past experiences, which are brought into the present by memory.Memory can be defined as the capacity to keep information available for later use. It includes not only “remembering things” like arithmetic or historical facts, bur also involves any change in the way an animal typically behaves. Memory is involved when a rat gives up eating grain because he has sniffed (嗅到,闻到)something suspicious in the grain pile. Memory is also involved when a six-year-old child learn to swing a baseball bat.Memory exists not only in humans and animals but but in some physical objects and puters ,for example,contain devices for storing data for later use. It is interesting to compare the memory-storage capacity of a computer with that of a human being. The instant-access memory of a large computer may hold up to 100,000 “words”--ready for instant use.An average U.S. teenager probably recognizes the meaning about 100,000 words of English. However, this is a but fraction of the total amount of information which the teenager has stored. Consider, for example, the number of faces and places that the teenager can recognize on sight.The use of words is the basis of the advanced problem-solving intelligence of human beings.A large part of a person’s memory is in terms of words and combinations of words.翻译1.我从未想到我校篮球队会在比赛中败北。