复兴高级中学2016届高三第一学期综合练习(含答案和解析)

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2016年上海市复兴高级中学高三上上英语第一次月考

2016年上海市复兴高级中学高三上上英语第一次月考

复兴高级中学2016学年第一学期10月月考高一英语考试试卷II. Grammar and Vocabulary 30%Section A Directions: 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 proper form of the given word; for the other blanks, use one word that best fits each blank.For the last 26 years, Anthony Cymerys, known as Joe the Barber, ____ 25_____ (offer) homeless people in Hartford haircuts in exchange for hugs. He started offering his barber services to homeless people in 1998 _____26______ he retired from a career in business. He had cut hair for his family but decided to work for the less fortune after ______27______ (inspire) by the encouraging words in church about the homeless. He wanted the homeless not _____28______ (look) homeless.Each Wednesday the wooden chairs are filled with homeless people ______29_____(waiting) for a haircut from the 82-year-old Joe. They line up on park benches, some of whom also turn out for free meals provided on Wednesday by a local church. One by ______30_____ they take a seat in a folding lawn chair.The great old man gives homeless people haircuts for free, and all he asks for in exchange is a nice big hug. _____31______ (give) haircuts may not seem like a big deal to a lot of people, but actually it’s very important. Homeless people have difficulty _____32______ (find) jobs _____33_____ __________ the look, so Joe is really helping them out of a hairy situation in ______34____ (many) ways than one.Section B Directions: Complete the following sentences or 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.35.The school strives to help catch each pupil to achieve their full ________.36.People who lead busy lives have no time to stop and _________.37.She need time to __________ to college life.38.It’s hard to find the right word to __________ how he felt about the desert.39.Keep a _________ attitude and good things will happen.40.Different students may ___________ the poem in different ways.41.The book clearly falls into the __________ of autobiography (自传).42.The high quality __________ water has passed the state-level test.43.Colors like red _________ a sense of energy and strength.44.The president made a decision of major political ___________.Job interviews are a lot like first dates in the sense that you’re trying to _____45_____ another person, whom you don’t know, to like you. The key difference is that on a date you’re both meeting on equal ground. When you go into a job interview, however, the _____46_____ has most of the power and you have, essentially, none at all. This creates an environment where you’re going to likely be considerably more uncomfortable than the interviewer. You’ll display poor body language as a result, and that’s not good. When interviewing for a job, you want to get rid of any non-verbal _____47______ that makes you seem closed off.A charming beginning can make all the difference, as first _____48_____ are hugely important in hiring decisions. A smile, pleasant handshake, warm ____49_____, and positive body language will set the stage for a comfortable interview. You don’t know what sort of (potentially negative) expectations your interviewer is bringing to the table, so it’s never a bad thing to override them by demonstrating you’re a pleasant and charismatic individual.While natural comfort is going to be your most valuable tool, there are a few tips that can help you out. Assuming American _____50_____ standards, eye contact is more important in a job interview than most other situations. If you have trouble meeting someone’s eyes, just look at their mouth. You’ll also want to ______51_____ blocking your own eyes in any way, as doing so can convey discomfort (among other negative feelings). You can also convey that you’re in a “listening mode” by occasionally placing part of your hand over your mouth. This helps _____52_____ to others that you’re not going to talk and therefore paying attention.All of this said, every interviewer is going to understand that you’ll be a little nervous. If you’re a little bit tense, don’t worry about it. That much is _____53_____. In fact, too much comfort might convey to some that you’re overconfident and not taking the interview _____54_____. In the end, your fate rests in the hands of another human being so there’s only so much you can do. They may not like your shoes or hire someone younger or older. You never know what you’re going to run into, but you can at least try to tip the scales in your favor with the help of some positive body language.III. Reading Comprehension 49%Section A Cloze 15%Directions: For each blank in the following passage there four words or phrases marked A, B, C or D. Fill in each blank with the word or phrase that best fits the context.In India, almost all marriages are arranged. Even among the educated middle classes in modern urban India, marriage is as much a concern of the families as it is of the _____55_____. So customary is the practice of arranged marriage that there is a special name for marriage which is _____56_____: It is called a “love match”.On my first trip to India, I met many young men and women whose parents were in the process of “getting them married’. In many cases, the bride and groom would not meet each other before the marriage. __57__ they might meet for a brief conversation, and this meeting would take place only after their parents had decided that the match was __58__. Parents do not force their children to marry a person who either marriage partner finds unacceptable. But only after one match is refused will another be sought.As a young American woman in India for the first time, I found this custom of arranged marriage __59__. How could any intelligent young person __60__ to such a marriage without great reluctance? It was __61__ to everything I believed about the importance of romantic love as the only basis of a happy marriage. It was also in conflict with my strongly held beliefs that the choice of such a close and permanent relationship could be made only by individuals __62__. If anyone had tried to arrange my marriage, I would have been __63__!Sita, one of my young friends, was a college graduate with a degree in political science. She had been __64__ for over a year while her parents were arranging a match for her. I found it difficult to accept the obedient(顺从的)manner in which this well-educated young womanawaited the outcome of a process that would __65__ her spending the rest of her life with a man she hardly knew, a total stranger, __66__ by her parents.In frustration and distress, I asked her, “Don’t you care who you __67__?”“Of course I care,”she answered. “This is why I must let my parents choose a boy for me. My marriage is too important to be arranged by such a(n) __68__ person as myself. In such matters, it is better to have my parents’ __69__”.55. A. classes B. individuals C. society D. country56. A. matched B. Decided C. Concerned D. Arranged57. A. After all B. In addition C. At most D. On average58. A. comfortable B. imperfect C. suitable D. dissatisfying59. A. Acceptable B. Amazing C. Depressing D. strange60. A. Agree B. Turn C. Exchange D. devote61. A. Customary B. Remarkable C. Similar D. contrary62. A. Involved B. Present C. Informed D. available63. A. Ambitious B. Proud C. Rebellious D. puzzled64. A. Fighting B. Protesting C. Waiting D. dreaming65. A. Profit from B. Hold back C. Act out D. Result in66. A. Picked out B. Picked up C. Taken up D. Taken out67. A. Encounter B. Favor C. Marry D. join68. A. Intelligent B. Unfortunate C. Inexperienced D. careless69. A. Blessing B. Guidance C. Fortune D. promiseSection B 24%Directions: Read the following two 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)Thailand uses the phrase “land of smiles” to describe itself in tourist brochures and advertising campaigns and rightly so. Visitors to Thailand can expect to be greeted with a smile when they leave the airport, get into a taxi or rental car and again when they enter a hotel. What makes it so easy for Thai people to smile at their visitors? The head of Thailand’s tourist bureausays that it is “in the nature of the people”. The Thai are naturally happy, he says with a smile, and they are glad to share that happiness with others.This attitude seems to be very much appreciated by the more than five million tourists who visit Thailand each year. The country ranks high on the list of places to which visitors want to return. The reason most often stated is that the people are friendly and courteous (有礼貌的). Some other Asian destinations are not as well received. Hong Kong ranks low, with shopkeepers particularly rated as unfriendly, unhelpful and sometimes rude. Bali in Indonesia ranks high on the list, with Japan somewhere in the middle.These reports raise the question of whether certain nationalities are naturally more courteous than others. While people may experience more friendliness in Thailand than in Hong Kong, that may have more to do with the place than the people. Travel writers point out that cities are always stressful, hurried, impersonal places, with little to offer in the ways of smiles and welcome. Bangkok is not as friendly as other places in the surrounding Thai countryside. Remote towns and villages in China, for example, offer visitors a warm welcome, with smiles and giggles from children. Perhaps it should also be pointed out that visitors themselves make a difference to the courtesy with which they are received. Polite, patient, smiling visitors will most be greeted similarly, no matter which country they are in.70.The phrase “land of smiles” means ___________.A. Thailand is a funny country.B. the tourists must smile all the time in Thailand.C. there is a piece of land which can smile in Thailand.D. the people in Thailand are kind and friendly.71.When you visit Thailand, you will find ___________.A. If you go into the country, you can’t leave it.B. you can see smiles everywhereC. you must smile to rent a carD. everybody in the street will smile at you72.According to the passage, those who have been in Thailand _________.A. are willing to visit it againB. are eager to leave itC. will never visit it againD. are allowed to visit it some tome later73.In Asia, ____________.A. Hong Kong is not an ideal destination for most unhelpfulB. Hong Kong shopkeepers are the most unhelpfulC. Japanese shopkeepers are the most courteousD. shopkeepers in Indonesia are the most beautiful(B)Some American parents might think their children need better education to compete with China and other countries’ children. But how much do the parents themselves need to change?A new book called “Battle Hymn of the Tiger Mother” by Amy Chua has caused a debate about cultural differences in parenting. Ms. Chua is a professor at the Yale Law School in New Haven, Connecticut, and a mother of two daughters. She was raised in American Midwest by immigrant Chinese parents.In the Chinese culture, the tiger represents strength and power. In her book, Ms Chua writes about how she demanded excellence from her daughters. Ms Chua told NBC television that she had a clear list of what her daughters, Sophia and Louisa, were not permitted to do.Many people criticized Amy Chua. She also admits that her husband, who is not Chinese, sometimes disagreed with her parenting style. But she says that is the way her parents raised her and her three sisters.Ms. Chua makes fun of her own style of parenting. She says she eased some of the pressure after her younger daughter rebelled and shouted “I hate my life! I hate you!” But she also says American parents often have low expectations of their children’s abilities. One of the biggest differences I see between Western and Chinese parents is that Chinese parents assume strength rather than fragility.”Stacy DeBroff, who has written four books on parenting, says: “The stirring of this intense debate has to do with what it means to be a successful parent and what does it mean to be a successful child?” Ms DeBroff says Amy Chua’s parenting style is not limited to Chinese families. She says it represents a traditional way of parenting among immigrants seeking a better future for their children. But she also sees a risk. When children have no time to be social or to follow their own interests, they might not develop other skills that they need to succeed in life. Stacey DeBroff advises parents to develop their own style of parenting and not just repeatthe way they were raised.74. Which of the following might be on the list of what Amy Chua’s daughters are not permitted to do ?A.Taking an extra course.B. Getting A’s in exams.C. Getting up on schedule.D. Having a play date.75.Stacy DeBroff believes parents should __________.A. Raise their children as they were raised.B. find their own ways to raise their childrenC. be as strict as possible with their childrenD. Follow successful people’s parenting style76.The word “fragility” in Paragraph 5 is closest in meaning to “__________”.A. weaknessB. consciousnessC. independenceD. Perseverance77. According to the passage, Amy Chua’s parenting style is ________.A. uniqueB. questionedC. reasonableD. creative(C)You're sitting on the train home and the person opposite you yawns (打哈欠). Suddenly, you're yawning with him, though you're not tired.This phenomenon confused scientists for years until a recent study found that people tend to sympathize with fellow humans. Supporting this claim was the discovery that those children who were unable to form normal emotional ties with others did not experience contagions (有感染力的) yawning,which showed that humans communicate regularly without words.Hogo Critchley, a neuroscientist, has conducted an experiment recently, which will prove that happiness and sadness can spread like the common cold. According to Critchley, our mind and body are in constant exchange about how we're feeling. "Emotions are closely linked with states of internal (内部的) responses, "he explained. "There are also more visible changes in our gesture and facial expressions. When we're in a group, these signals can spread to another person. For example, there's the obvious tendency to smile when smiled at and there are less obvious changes that reflect emotions of surprise, anger or sadness such as a change in our heart rate and blood pressure. "Hugo Critchley further explained, "Our bodies synchronize and when we like the otherperson, we even copy his behavior. Next time you chat with a friend, take note of how you're sitting-it's pretty likely that you will be the same. Scientists believe it's our way of telling each other that we're partners. Through body language, humans give each other very subtle (微妙的) but clear signals that show emotions. "So, what lessons can we learn from this? "Spend time with happy people-otherwise your health could suffer, " said Critchley. "When we're sad, our body goes into fight or flight mode. But when we're happy, our body works normally and we feel relaxed and positive. So we look bright, our skin glows, we feel healthy and it affects everyone around us. "78. According to Hogo Critchley, _________.A. emotions are as visible as facial expressionsB. we yawn more frequently when we have a coldC. emotions are connected with states of internal responsesD. the change of blood pressure is not linked with the change of emotions79. The underlined word "synchronize" in paragraph 4 means "_________".A. move slowlyB. change rapidlyC. relax temporarilyD. respond accordingly80. From the passage we can learn ______.A. sadness is as contagious as happinessB. anger is less contagious than friendlinessC. surprise is more contagious than smileD. surprise is the most contagious among emotions81. Which of the following statements is true according to the passage?A. Emotions have delicate influence on fellow humans.B. Children like copying the actions of the fellow humans.C. Scientists are still confused about contagious yawning.D. People tend to communicate more with body language.Section C 10%Directions: 根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。

2016-2017学年上海市虹口区复兴高级中学高三9月月考英语试卷word版含解析

2016-2017学年上海市虹口区复兴高级中学高三9月月考英语试卷word版含解析

上海市复兴高级中学2016学年第一学期10月月考高三英语试卷2016.10 II. Grammar and Vocabulary 20%Section A 10%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.It’s estimated that 300 million people in China are studying, or have studied English. That’s an impressive number and I can’t think of any oth er country in the world (1) one quarter of the population is so dedicated to (2) (learn) a second language. But some people are questioning whether this “craze” for studying English is worthwhile.Professor Zhang Shuhua of the Chinese Academy of Social Sciences says that too much emphasis is placed on learning English and (3) it is a waste of education resources as well as a threat to the study of Chinese. He says that having English as a compulsory course in university “has distracted much of students’ attention (4) specialized subjects,” and that some students have been denied access to postgraduate education because they failed English. Others have admitted that studying so much English has made them (5) (poor) Chinese speakers.Both of these criticisms are legitimate, but they beg the question of why so many Chinese still want to learn English. English, they recognize, (6) (be) the lingua franca of the modern world. It is the language of business and has become the language of international relations and culture. When people from different countries get together, they frequently speak in English (7) try to translate their native languages. It seems that everyone everywhere can speak at least some English.For China to be part of that international conversation, it is necessary that some level of English proficiency (8) be achieved. But what, you may ask, about (9) who will never speak a word of English once they leave school? Well, for good or ill, they will still be surrounded by English. It is there in signs, in music, in movies and in the casual conversations they overhear of the increasing number of foreigners on the city streets. To know English is (10) (include) in the rest of the world, even if your world is limited to China.1.where2.learning 3 .that 4 .from 5.poorer6 .is 7. rather than 8.should 9.those 0.to be included解析1.考察定语从句,先行词是the world2.考察搭配,be dedicated to doing致力于做某事3.考察宾语从句,此处that不可省略4.考察介词,distract....from..... 分散....的注意力5.考察形容词比较级,poorer6.考察谓语动词,主语是English,因此填is。

上海市虹口区复兴高级中学2024年高三物理第一学期期中综合测试试题含解析

上海市虹口区复兴高级中学2024年高三物理第一学期期中综合测试试题含解析

上海市虹口区复兴高级中学2024年高三物理第一学期期中综合测试试题注意事项:1.答题前,考生先将自己的姓名、准考证号码填写清楚,将条形码准确粘贴在条形码区域内。

2.答题时请按要求用笔。

3.请按照题号顺序在答题卡各题目的答题区域内作答,超出答题区域书写的答案无效;在草稿纸、试卷上答题无效。

4.作图可先使用铅笔画出,确定后必须用黑色字迹的签字笔描黑。

5.保持卡面清洁,不要折暴、不要弄破、弄皱,不准使用涂改液、修正带、刮纸刀。

一、单项选择题:本题共6小题,每小题4分,共24分。

在每小题给出的四个选项中,只有一项是符合题目要求的。

1、甲、乙两物体从同一地点同时出发,其v-t图象如图所示.下列说法正确的是A.两物体的加速度方向相同B.前2s内两物体的平均速度相等C.前4s内两物体的位移相等D.第1s末两物体相遇2、质量为m的物体用轻绳AB悬挂于天花板上。

用水平向左的力F缓慢拉动绳的中点O,如图所示。

用T F表示绳OA段拉力的大小,在O点向左侧移动的过程中()A.F逐渐变大,T F逐渐变大B.F逐渐变大,T F逐渐变小C.F逐渐变小,T F逐渐不变D.F逐渐变小,T F逐渐变小3、如图所示,质量为m的小球以速度v0水平抛出,恰好与倾角为30°的斜面垂直相碰,其弹回的速度大小与碰撞前的速度大小相等,求小球与斜面碰撞过程中受到的冲量大小为()A.mv0B.2mv0C.3mv0D.4mv04、如图所示,从A点由静止释放一弹性小球,一段时间后与固定斜面上B 点发生碰撞,碰后小球速度大小不变,方向变为水平方向,又经过相同的时间落于地面上C点,已知地面上D 点位于B 点正下方,B、D间的距离为h,则( )A.A、B 两点间的距离为2hB.A、B 两点间的距离为4hC.C、D 两点间的距离为2hD.C、D 两点间的距离为23 3h5、以下说法正确的是A.电流的定义式是U IRB.我们从教学楼一楼爬到5楼、6楼,楼梯台阶对我们的支持力做了正功C.库仑发现了电荷间相互作用的规律,并由此提出了“场”的概念D.洛伦兹力总是不做功的6、人在平地上静止站立时,受到的支撑力等于人的重力.做原地纵跳时,在快速下蹲和蹬伸的过程中,人体受到的支撑力发生变化(如图,G为重力,F为支撑力).下列曲线能正确反映该变化的是()A.B.C.D.二、多项选择题:本题共4小题,每小题5分,共20分。

【最新文档】2016年上海市虹口区复兴高中高一上学期期末数学试卷

【最新文档】2016年上海市虹口区复兴高中高一上学期期末数学试卷

D.﹣ f( x1)< f(﹣ x2)
18.( 5.00 分)函数 f( x)=ax2+bx+c(a≠0)的图象关于直线
对称.据此
可推测,对任意的非零实数 a, b,c,m, n, p,关于 x 的方程 m[ f (x)] 2+nf
( x)+p=0 的解集都不可能是(

A.{ 1,2} B.{ 1,4} C.{ 1, 2, 3, 4} D. { 1,4,16,64}
求 m 的值. 23.( 18.00 分)已知集合 M 是满足下列性质的函数 f (x)的全体:在定义域内 存在 x0,使得 f (x0+1)=f(x0) +f (1)成立. ( 1)函数 f(x)= 是否属于集合 M ?说明理由;
( 2)设函数 f( x)=lg
∈ M,求 a 的取值范围;
( 3)设函数 y=2x 图象与函数 y=﹣ x 的图象有交点, 证明:函数 f( x)=2x+x2∈M .
第 3 页(共 17 页)
2015-2016 学年上海市虹口区复兴高中高一 (上) 期末数 学试卷
参考答案与试题解析
一、填空题(每题 4 分,共 56 分) 1.(4.00 分)设全集 U={ n∈ N| 1≤n≤10} ,A={ 1,2,3,5,8} ,B={ 1,3,5, 7,9} ,则( ?UA)∩ B= { 7,9} . 【解答】 解:∵全集 U={ n∈ N| 1≤n≤10} ,A={ 1,2,3,5,8} ,B={ 1,3,5, 7,9} , ∴( ?UA)={ 4, 6,7,9 } ,∴( ?UA)∩ B={ 7, 9} , 故答案为: { 7, 9} .
q),则 p2×2q 的值为 12

上海市复兴高级中学2016届高三3月月考化学试题 Word版含答案

上海市复兴高级中学2016届高三3月月考化学试题 Word版含答案

2016年3月高三化学试卷考生注意:1.本试卷满分150分,考试时间120分钟。

2.本卷使用答题纸,所有答案均填写在答题纸上,填写在试卷上一律不给分。

相对原子质量:H—1 N—14 O—16 C—12 Al—27 Na—23 Cu—64 Sn—119一、选择题(本题共10分,每小题2分,每题只有一个正确选项)1.在自然界存在游离态的元素是A.硫B.氯C.铝D.镁2.下列物质在生话中应用时,起还原作用的是3.一定条件将C5H12裂解,最多可以得到烯烃的种数是A.3种B.4种C.5种D.6种4.0.1 mol下列气体分别与1 L 0.1mol/L的NaOH溶液反应,形成的溶液pH最小的是A.NO2B.SO2C.SO3D.CO25.某羧酸酯的分子式为C18H26O5,1 mol该酯完全水解可得到1 mol羧酸和2 mol乙醇,该羧酸的分子式为.A.C14H18O5B.C14H16O4CC16H22O5D.C16H20O5二、选择题(本题共36分,每小题3分,每题只有一个正确选项)6.下列说法正确的是7.往NaOH溶液中加入少量的稀醋酸,若温度不变,下列数据一定增大的是A.溶液的导电性B.水的离子积C.离子总数D.溶液pH值8.W、X、Y、Z均为短周期的主族元素,原子序数依次增加,且原子核外L电子层的电子数分别为0、5、8、8,它们的最外层电子数之和为18.下列说法正确的是9.A10A.苯的溴代反应B.乙酸丁酯的制备C.苯的硝化反应D.乙炔的制取11.给定条件下,下列选项中所示的物质间转化均能一步实现的是12.下列有关Al2(SO4)3溶液的叙述正确的是13.下列有机物的命名错误的是BD14.用图所示装置进行下列实验:将①中溶液逐滴滴入②中,预测的现象与实际相符的是15.下列说法错误的是A .H 2N —CH 2—COOH 能与酸、碱反应生成盐B .葡萄糖既能发生银镜反应,又能发生水解反应C .浓硝酸和醋酸铅溶液均可使鸡蛋清溶液中的蛋白质变性D .1 mol 油脂完全水解的产物是1 mol 甘油和3 mol 高级脂肪酸(或盐)16.25℃时,在10 mL 浓度均为0.1 mol/L 的NaOH 和NH 3水混合溶液中滴加0.1 mol/L 盐酸,下列有关溶液中粒子浓度关系正确的是17.某浓度的硝酸与过量铁粉反应,生成4.48 L N 2O 气体(标准状况下),若改与铝反应(生成NO 气体),则最后可溶解的铝的质量是 A .27gB .9gC .13.5gD .8.9g三、选择题(本题共20分,每小题4分,每小题有一个或两个正确选项。

上海市复兴高级中学2016届高三3月月考地理试题解析(解析版)

上海市复兴高级中学2016届高三3月月考地理试题解析(解析版)

一、选择题(每小题只有一个正确答案)工业化与城市化是推动区域经济社会发展的主要动力,读“西欧某国工业化与城市化进程比较图”,完成下列问题。

1. 下列有关该国工业化和城市化进程特点的叙述,正确的是A. 工业化与城市化呈同步增长趋势B. 城市化进程与工业化水平不相适应C. 该国属于发展中国家D. 该国第三阶段经济增长主要来自第三产业2. 下列该国第三阶段发展的主要工业部门是A. 能源主导型产业B. 劳动力主导产业C. 技术主导型产业D. 原料主导型产业【答案】1. D 2. C【解析】1. 根据图示工业化和城市化的发展基本同步,但阶段Ⅲ不符合;故A项错误;从图中三个阶段可以看出工业化水平先增加在下降,城市化水平一直增加,这说明城市化进程与工业化水平相适应,工业化促进了城市化,B错误;由图可知,该国到了第三阶段城市化水平远高于工业化水平,应属于发达国家,C错误;该国第三阶段工业化水平略有降低,并不是因为工业化生产倒退了,而是因为经济增长主要来自第三产业,D正确。

故答案选D。

2. 阶段Ⅲ城市化水平继续提高,但工业化水平呈下降趋势,说明第三阶段该国具备经济、技术和管理方面的优势,经济增长主要依靠技术密集型产业和现代服务业。

故答案选C。

点睛:本题考查我国的区域工业化和城市化和读图综合分析能力。

解题的关键是掌握我国区域工业化的基本特征和产业发展特征,难度一般。

下图为黄河源地区不同海拔的草地退化情况,完成下列问题。

3. 黄河源地区草地退化的特点是A. 居民点密度越大,草地退化率越高B. 海拔4 500~4 600米的草地退化率最小C. 居民点密度越大,草地退化面积越大D. 海拔4 300~4 400米的草地退化面积最大4. 影响黄河源地区不同海拔草地面积大小的主要因素是A. 土壤水分、气温B.土壤水分、坡度 C.气温、光照 D.光照、坡度【答案】3. D 4. B【解析】3. 黄河源地区草地退化的特点,根据题图作出判断,居民点密度与草地退化率、草地退化面积不是正相关的关系;草地退化率最小是海拔5 200~5 300米处;海拔4 300~4 400米处的草地退化面积最大,因此D项正确。

上海市复兴高级中学2016届高三3月月考语文试题

上海市复兴高级中学2016届高三3月月考语文试题

2015学年度第二学期阶段性教学质量监控测试高三语文2016.3一阅读 80分(一)阅读下文,完成1-6题。

(18分)孔子不知“儒服”①峨冠博带,长襟宽袖,近来重受青睐。

前不久,百名专家呼吁北京奥运采用“汉服”,同时声称“要立法让大伙全部穿‘汉服’”。

4月23日《河南商报》报道,开封市长宣布支持“满城宋装”的“倾城计划”,并且说:“为了推行宋装,我想我会带头穿。

”看来,古代衣冠已经成为今天一些人挥之不去的情结。

②这让我想起孔子不知“儒服”的故事。

《礼记·儒行》记载说:“鲁哀公问于孔子曰:‘夫子之服,其儒服与?’孔子对曰:‘丘少居鲁,衣逢掖之衣;长居宋,冠章甫之冠。

丘闻之也,君子之学也博,其服也乡,丘不知儒服。

’”杨天宇《礼记译注》把这一段翻译成白话文,说:“鲁哀公问孔子说:‘先生的服装,是儒者的服装吧?’孔子回答说:‘我少年时期住在鲁国,穿袖子宽大的衣服;长大后住在宋国,戴章甫之冠。

我听说,君子的学问要广博,衣服要随俗。

我不知道什么是儒服。

’”③孔子是儒家的开山祖师,鲁哀公尊重他,以为他穿着的就是“儒服”。

这似乎符合现代人的逻辑:既然日本有和服、韩国有韩服、印度有纱丽,中国人当然就应当穿“汉服”、“宋装”;既然和尚穿袈裟、道士穿道袍,儒家学者当然也应该穿“儒服”。

如果用开封市长的眼光看,孔子不但应该穿“儒服”,而且应该“带头穿”。

可是,孔子却不免让人大失所望,他说自己穿衣服一贯入乡随俗,不是“儒服”,_____特别申明,自己根本不知道世界上还有什么“儒服”。

作为儒家的祖师爷,孔先生如此特别申明,其中三昧,颇堪玩味。

④孔子不知“儒服”,而且,对古代衣冠也不感兴趣。

按照某些人的逻辑,衣帽是“传统文化的记忆”,是一种“符号”,那么,以复兴尧舜之治为己任的孔子,肯定会对尧舜衣冠特别关注,热心倡导。

可惜,事实却并非如此。

《荀子·哀公》说:“鲁哀公问舜冠于孔子,孔子不对。

三问,不对。

”鲁哀公想知道舜戴什么样的帽子,一连问了三遍,孔子却毫不理睬。

高中英语真题:复兴高级中学2015-2016学年高一上学期期末考试英语试题 Word版.doc

高中英语真题:复兴高级中学2015-2016学年高一上学期期末考试英语试题 Word版.doc

高中英语真题:复兴高级中学2015-2016学年高一上学期期末考试英语试题Word版.doc一、未分类(共6题)k was one of the main human foods long 25________ history was written. It will probably remain one 26________ ________ ________ there are animals that give milk. The old word “milk” came from Sanskrit (梵文), one of the oldest languages 27________ (know) to man. A very old picture of milking animals, drawn five thousand years ago, has been found. People got their milk from their own animals. But in modem times new inventions made the milk industry 28________ big business. In 1851 Gall Borden found a way to take some of the water from milk. This made 29________ keep longer. Four years later, Louis Pasteur introduced a way 30________ (kill) the bacteria in milk. So in the same year a special milk bottle was made. This was followed by the invention of machines that 31________ fill bottles with milk. These discoveries meantbecome less popular than it has been. But remember how long milk has been an important food and think of the many ways in which it is useful. It seems safe to say 32________ milk industry will always be important.2.Every reader of this passage must spend the whole of his waking life 33________ (look) at things. Looking, like breathing, is natural; we do it 34________ noticing it. Looking is passive but seeing is active. Once you startothers have only looked at, and draw conclusions from 36________ they have seen, can add to man’s knowledge and help progress.Someone recently discovered a place 37________ metal had been worked continuously longer than anywhere else in England. He “saw” a wall in the Forest of Dean. Thousands of people must have looked at it without really seeing it, but this man noticed that among the usual stones of that place 38________ (be) bits and pieces of a different color; they also felt different to the hand. A 39________ (close) sight showed that these pieces had been left behind in the fires of ancient peoples who had melted rocks to get metals, looking around, he found more and more information, until the history of what men had done at the place over tens of centuries 40________ (know).3.A. dried B. forces C. world D. benefit E. provide F. freezingG. active H. outdoors I. preserving J. convenient K. technologyFood drying is one of the oldest methods of 41________ food. Since drying reduces the moisture in foods, making them lightweight and 42________ to store, it can be easily used in place of other food preservation techniques. In fact, one can even use drying along with other food preservation techniques such as 43________ or canning, which would make the process of food preservation even better.Drying food is simple, safe and easy to learn. The early American settlers practiced drying food using the natural 44________ of sun and wind, and today, the use of 45________ has revolutionized this method of preserving food. With modern food dehydrators (脱水剂), foods such as fruit leathers, fruit chips, 46________ nuts and seeds and meat jerky, can all be kept year-round at home.Being easy to store and carry and requiring no refrigeration makes dried foods ideal for domestic use as well as for use in the rough 47________.Moreover, dried foods are good sources of quick energy andmoisture. For instance, meat jerky, dried nuts and seeds are good sources of protein for a snack or a meal. The fruit leathers and chips 48________ plenty of quick energy. Dried vegetables, too, can be used to prepare wholesome casseroles (炖菜) and soups and the nutritional value can be enhanced by using the soaking water for cooking. Therefore, dried foods are an easy food option for busy executives, hungry backpackers and 49________ women and children, all of whom can 50________ from the ease of use and nutritional content of dried foods.4.Art museums are places where people can learn about various cultures. The increasingly popular “design museums” that are opening today, however, are quite different. Unlike most art museums, the design museum shows objects that are easily found by the general public. These museums sometimes even place things like fridges and washing machines in the center of the hall.People have argued that design museums are often made use of as advertisements for new industrial technology. But their role is not simply a matter of sales —it is the honoring of excellently invented products. The difference between the window of a department store and the showcase in a design museum is that the first tries to sell you something, while the second tells you the success of a sale.One advantage of design museums is that they are places where people feel familiar with the exhibits. Unlike the average art museum visitors, design museum visitors seldom feel frightened or puzzled. This is partly because design museums clearly show how and why mass-produced products work and look as they do, and how design has improved the quality of our lives. Art museum exhibits, on the other hand, would most probably fill visitors with a feeling that there is something beyond their understanding.In recent years, several new design museums have opened their doors. Each of these museums has tried to satisfy the public’s growing interest in the field with new ideas. London’s Desig n Museum, for example, shows atypewriters to a group of Italian fish-tins. The choices open to design museums seem far less strict than those to art museums, and visitors may also sense the humorous part of our society while walking around such exhibits as interesting and unusually attractive toys collected in our everyday life.(Note: Answer the questions or complete the statements in NO MORE THAN ELEVEN WORDS.)78. According to the passage, design museums are places where ___________________ _________________________________________.79. What kinds of role do design museums play?80. In contrast to design museums, choices open to art museums are more strict and visitors often feel _________________________________ in most of them.81. Some new design museums have been opened lately with the purpose of _________ ___________________________________________.5.1. 你最好别把他们两个安排在相邻的位置上。

上海市虹口区复兴高中2016年10月2016~2017学年度高一第一学期期中数学试卷及参考答案教师专用

上海市虹口区复兴高中2016年10月2016~2017学年度高一第一学期期中数学试卷及参考答案教师专用

2016年10月2016~2017学年度上海市虹口区复兴高中高一上学期期中数学试卷一、填空题(每题4分,共56分)1.不等式|2﹣x|<1的解集为.2.若集合M={x|y=2x+1},N={(x,y)|y=﹣x2},则M∩N=.3.已知函数y=f(x+1)定义域是[﹣2,3],则y=f(2x﹣1)的定义域是.4.不等式的解集是.5.设函数f(x)=为奇函数,则实数a=.6.函数y=2x﹣的值域为.7.若函数y=x2+2(a﹣1)x+2在区间(﹣∞,4]上单调递减,则实数a的取值范围是.8.不等式(a﹣2)x2﹣2(a﹣2)x﹣4<0对x∈R恒成立,则实数a的取值范围为.9.定义在(﹣∞,0)∪(0,+∞)的奇函数f(x)在(0,+∞)上为增函数,且f(1)=0,则不等式f(x)<0的解集是.10.设f(x)是R上的奇函数,g(x)是R上的偶函数,若函数f(x)+g(x)的值域为[1,3),则f(x)﹣g(x)的值域为.11.已知函数f(x)=,则不等式的解集是.12.要设计两个矩形框架,甲矩形的面积是1m2,长为xm,乙矩形的面积为9m2,长为ym,若甲矩形的一条宽与乙矩形一条宽之和为1m,则x+y的最小值为.13.已知关于x的不等式的解集为p,若1∉p,则实数a的取值范围为.14.若对于满足﹣1≤t≤3的一切实数t,不等式x2﹣(t2+t﹣3)x+t2(t﹣3)>0恒成立,则x的取值范围为.二、选择题(每题5分,共20分)15.设x取实数,则f(x)与g(x)表示同一个函数的是()A.f(x)=x,g(x)=B.f(x)=,g(x)=C.f(x)=1,g(x)=(x﹣1)0D.f(x)=,g(x)=x﹣316.是成立的()A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件17.已知f(x)是偶函数,x∈R,当x>0时,f(x)为增函数,若x1<0,x2>0,且|x1|<|x2|,则()A.f(﹣x1)>f(﹣x2)B.f(﹣x1)<f(﹣x2)C.﹣f(x1)>f(﹣x2)D.﹣f(x1)<f(﹣x2)18.已知函数f(x)=|x﹣1|,若存在x1,x2∈[a,b],且x1<x2,使f(x1)≥f(x2)成立,则以下对实数a,b 的描述正确的是()A.a<1B.a≥1C.b≤1D.b≥1三、解答题(共5题,共74分)19.记函数f(x)=的定义域为集合A,则函数g(x)=的定义域为集合B,(1)求A∩B和A∪B(2)若C={x|p﹣2<x<2p+1},且C⊆A,求实数p的取值范围.20.某化工厂生产的某种化工产品,当年产量在150吨至250吨之间,其生产的总成本y(万元)与年产量x(吨)之间的函数关系式可近似地表示为问:(1)年产量为多少吨时,每吨的平均成本最低?并求出最低成本?(2)若每吨平均出厂价为16万元,则年产量为多少吨时,可获得最大利润?并求出最大利润?21.已知函数f(x)=|x﹣a|,g(x)=x2+2ax+1(a为正常数),且函数f(x)和g(x)的图象与y轴的交点重合.(1)求a实数的值(2)若h(x)=f(x)+b(b为常数)试讨论函数h(x)的奇偶性;(3)若关于x的不等式f(x)﹣2>a有解,求实数a的取值范围.22.已知函数f(x)=(1)求证f(x)在(0,+∞)上递增(2)若f(x)在[m,n]上的值域是[m,n],求实数a的取值范围(3)当f(x)≤2x在(0,+∞)上恒成立,求实数a的取值范围.23.定义实数a,b间的计算法则如下a△b=.(1)计算2△(3△1);(2)对0<x<z<y的任意实数x,y,z,判断x△(y△z)与(x△y)△z的大小,并说明理由;(3)写出函数y=(1△x)+(2△x),x∈R的解析式,作出该函数的图象,并写出该函数单调递增区间和值域(只需要写出结果).2016年10月2016~2017学年度上海市虹口区复兴高中高一(上)期中数学试卷参考答案与试题解析一、填空题(每题4分,共56分)1.不等式|2﹣x|<1的解集为(1,3).【知识考查点】绝对值不等式的解法.【试题分析】由不等式|2﹣x|<1可得﹣1<x﹣2<1,即可得出结论.【试题解答】解:由不等式|2﹣x|<1可得﹣1<x﹣2<1,∴1<x<3,故不等式|2﹣x|<1的解集为(1,3),故答案为:(1,3).2.若集合M={x|y=2x+1},N={(x,y)|y=﹣x2},则M∩N=∅.【知识考查点】交集及其运算.【试题分析】求出集合M中x的范围确定出M,集合N表示开口向下,顶点为原点的抛物线上点的坐标,确定出两集合交集即可.【试题解答】解:∵M={x|y=2x+1},N={(x,y)|y=﹣x2},∴M∩N=∅,故答案为:∅3.已知函数y=f(x+1)定义域是[﹣2,3],则y=f(2x﹣1)的定义域是.【知识考查点】函数的定义域及其求法.【试题分析】利用函数的定义域是自变量的取值范围,同一法则f对括号的范围要求一致;先求出f(x)的定义域;再求出f(2x﹣1)的定义域.【试题解答】解:∵y=f(x+1)定义域是[﹣2,3],∴﹣1≤x+1≤4,∴f(x)的定义域是[﹣1,4],令﹣1≤2x﹣1≤4,解得0≤x≤,故答案为:.4.不等式的解集是{x|x≤或1<x≤3} .【知识考查点】其他不等式的解法.【试题分析】不等式等价为(2﹣3x)(x﹣3)(x﹣1)≥0且x﹣1≠0,即可得出结论.【试题解答】解:不等式等价为(2﹣3x)(x﹣3)(x﹣1)≥0且x﹣1≠0,∴x≤或1<x≤3,∴不等式的解集是{x|x≤或1<x≤3},故答案为{x|x≤或1<x≤3}.5.设函数f(x)=为奇函数,则实数a=﹣1.【知识考查点】函数奇偶性的性质.【试题分析】一般由奇函数的定义应得出f(x)+f(﹣x)=0,但对于本题来说,用此方程求参数的值运算较繁,因为f(x)+f(﹣x)=0是一个恒成立的关系故可以代入特值得到关于参数的方程求a的值.【试题解答】解:∵函数为奇函数,∴f(x)+f(﹣x)=0,∴f(1)+f(﹣1)=0,即2(1+a)+0=0,∴a=﹣1.故答案为:﹣1.6.函数y=2x﹣的值域为[,3] .【知识考查点】函数的值域.【试题分析】利用函数是增函数得出即可.【试题解答】解:∵函数y=2x﹣∴根据函数是增函数得出:x=1时,y=x=时,y=3∴值域为:[,3]故答案为:[,3]7.若函数y=x2+2(a﹣1)x+2在区间(﹣∞,4]上单调递减,则实数a的取值范围是a≤﹣3. 【知识考查点】二次函数的性质.【试题分析】若y=x2+2(a﹣1)x+2在区间(﹣∞,4]上单调递减,则1﹣a≥4,解得答案.【试题解答】解:函数y=x2+2(a﹣1)x+2的图象是开口朝上,且以直线x=1﹣a为对称轴的抛物线,若y=x2+2(a﹣1)x+2在区间(﹣∞,4]上单调递减,则1﹣a≥4,解得:a≤﹣3,故答案为:a≤﹣38.不等式(a﹣2)x2﹣2(a﹣2)x﹣4<0对x∈R恒成立,则实数a的取值范围为﹣2<a≤2. 【知识考查点】函数恒成立问题.【试题分析】依题意,分a=2与a≠2两类讨论,即可求得实数a的取值范围.【试题解答】解:∵不等式(a﹣2)x2﹣2(a﹣2)x﹣4<0对x∈R恒成立,∴当a=2时,﹣4<0对任意实数x都成立;当a≠2时,,解得:﹣2<a<2;综上所述,﹣2<a≤2.故答案为:﹣2<a≤2.9.定义在(﹣∞,0)∪(0,+∞)的奇函数f(x)在(0,+∞)上为增函数,且f(1)=0,则不等式f(x)<0的解集是{x|x<﹣1或0<x<1} .【知识考查点】奇偶性与单调性的综合.【试题分析】先根据其为奇函数,得到在(﹣∞,0)上的单调性;再借助于f(﹣1)=﹣f(1)=0,即可得到结论.【试题解答】解:∵定义在(﹣∞,0)∪(0,+∞)的奇函数,且在(0,+∞)上是增函数,∴在(﹣∞,0)上也是增函数;又∵f(﹣1)=﹣f(1)=0.∴f(x)<0的解集为:{x|x<﹣1或0<x<1}.故答案为:{x|x<﹣1或0<x<1}.10.设f(x)是R上的奇函数,g(x)是R上的偶函数,若函数f(x)+g(x)的值域为[1,3),则f(x)﹣g(x)的值域为(﹣3,﹣1] .【知识考查点】函数的值域;奇函数;偶函数.【试题分析】根据奇偶函数的定义得到f(﹣x)=﹣f(x),g(﹣x)=g(x),由两函数的定义域都为R,根据f(x)+g(x)的值域列出不等式,把x换为﹣x,代换后即可求出f(x)﹣g(x)的范围,即为所求的值域.【试题解答】解:由f(x)是R上的奇函数,g(x)是R上的偶函数,得到f(﹣x)=﹣f(x),g(﹣x)=g(x),∵1≤f(x)+g(x)<3,且f(x)和g(x)的定义域都为R,把x换为﹣x得:1≤f(﹣x)+g(﹣x)<3,变形得:1≤﹣f(x)+g(x)<3,即﹣3<f(x)﹣g(x)≤﹣1,则f(x)﹣g(x)的值域为(﹣3,﹣1].故答案为:(﹣3,﹣1]11.已知函数f(x)=,则不等式的解集是{x0<x<} .【知识考查点】其他不等式的解法.【试题分析】由h(x)=x2+4x在[0,+∞)单调递增,h(x)min=h(0)=0,g(x)=﹣x2+4x在(﹣∞,0)上单调递增,g(x)max=g(0)=0可知函数f(x)在R上单调递增,则由可得>2x,解不等式可求.【试题解答】解:f(x)=,∵h(x)=x2+4x在[0,+∞)单调递增,h(x)min=h(0)=0g(x)=﹣x2+4x在(﹣∞,0)上单调递增,g(x)max=g(0)=0由分段函数的性质可知,函数f(x)在R上单调递增∵,∴>2x,∴0<x<,故答案为{x|0<x<}.12.要设计两个矩形框架,甲矩形的面积是1m2,长为xm,乙矩形的面积为9m2,长为ym,若甲矩形的一条宽与乙矩形一条宽之和为1m,则x+y的最小值为16m.【知识考查点】基本不等式.【试题分析】利用矩形的面积计算公式、“乘1法”与基本不等式的性质即可得出.【试题解答】解:由题意可得:+=1,x,y>0.则x+y=(x+y)=10++≥10+2≥16.当且仅当y=3x=12时取等号.故答案为:16m.13.已知关于x的不等式的解集为p,若1∉p,则实数a的取值范围为(﹣1,0).【知识考查点】其他不等式的解法.【试题分析】由题意知1不满足不等式,列出关于a的不等式,由分式不等式的解法求出实数a的取值范围.【试题解答】解:∵不等式的解集为p,且1∉P,∴,则,即a(a+1)<0,解得﹣1<a<0,∴实数a的取值范围是(﹣1,0),故答案为:(﹣1,0)14.若对于满足﹣1≤t≤3的一切实数t,不等式x2﹣(t2+t﹣3)x+t2(t﹣3)>0恒成立,则x的取值范围为(﹣∞,﹣4)∪(9,+∞).【知识考查点】函数恒成立问题.【试题分析】不等式x2﹣(t2+t﹣3)x+t2(t﹣3)>0可化为(x﹣t2)(x﹣t+3)>0,求出不等式的解集,再求出函数的最值,即可确定x的取值范围.【试题解答】解:不等式x2﹣(t2+t﹣3)x+t2(t﹣3)>0可化为(x﹣t2)(x﹣t+3)>0∵﹣1≤t≤3,∴t2>t﹣3∴x>t2或x<t﹣3∵y=t2在﹣1≤t≤3时,最大值为9;y=t﹣3在﹣1≤t≤3时,最小值为﹣4,∴x>9或x<﹣4故答案为(﹣∞,﹣4)∪(9,+∞)二、选择题(每题5分,共20分)15.设x取实数,则f(x)与g(x)表示同一个函数的是()A.f(x)=x,g(x)=B.f(x)=,g(x)=C.f(x)=1,g(x)=(x﹣1)0D.f(x)=,g(x)=x﹣3【知识考查点】判断两个函数是否为同一函数.【试题分析】根据确定函数的三要素判断每组函数是否为同一个函数,即需要确定每组函数的定义域、对应关系、值域是否相同,也可只判断前两项是否相同即可确定这两个函数是否为同一个函数.【试题解答】解:A组中两函数的定义域相同,对应关系不同,g(x)=|x|≠x,故A中的两函数不为同一个函数;B组中两函数的定义域均为所有正数构成的集合,对应关系化简为f(x)=g(x)=1,故B中的两函数是同一个函数;C组中两函数的定义域不同,f(x)的定义域为R,g(x)的定义域为{x|x≠1},故C中的两函数不为同一个函数;D组中两函数的定义域不同,g(x)的定义域为R,f(x)的定义域由不等于﹣3的实数构成,故D中的两函数不为同一个函数.故选B.16.是成立的()A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件【知识考查点】必要条件、充分条件与充要条件的判断.【试题分析】根据不等式之间的关系,结合充分条件和必要条件的定义即可得到结论.【试题解答】解:当时,成立,即充分性成立,当x=10,,满足成立但不成立,即必要性不成立.故是成立充分不必要条件,故选:A17.已知f(x)是偶函数,x∈R,当x>0时,f(x)为增函数,若x1<0,x2>0,且|x1|<|x2|,则()A.f(﹣x1)>f(﹣x2)B.f(﹣x1)<f(﹣x2)C.﹣f(x1)>f(﹣x2)D.﹣f(x1)<f(﹣x2)【知识考查点】奇偶性与单调性的综合.【试题分析】根据函数奇偶性和单调性之间的关系,即可得到结论.【试题解答】解:∵f(x)是偶函数,x∈R,当x>0时,f(x)为增函数,且|x1|<|x2|,∴f(|x1|)<f(|x2|),则f(﹣x1)<f(﹣x2)成立,故选:B18.已知函数f(x)=|x﹣1|,若存在x1,x2∈[a,b],且x1<x2,使f(x1)≥f(x2)成立,则以下对实数a,b 的描述正确的是()A.a<1B.a≥1C.b≤1D.b≥1【知识考查点】分段函数的应用.【试题分析】先根据f(x)=|x|的图象性质,推得函数f(x)=|x﹣1|的单调区间,再依据条件分析求解.【试题解答】解:∵f(x)=|x|的图象是把f(x)=x的图象中x轴下方的部分对称到x轴上方, ∴函数在(﹣∞,0)上递减;在(0,+∞)上递增.函数f(x)=|x﹣1|的图象可由f(x)=|x|的图象向右平移1个单位而得,∴在(﹣∞,1]上递减,在[1,+∞)上递增,∵若存在x1,x2∈[a,b],x1<x2,使f(x1)≥f(x2)成立,∴a<1故选:A.三、解答题(共5题,共74分)19.记函数f(x)=的定义域为集合A,则函数g(x)=的定义域为集合B,(1)求A∩B和A∪B(2)若C={x|p﹣2<x<2p+1},且C⊆A,求实数p的取值范围.【知识考查点】集合的包含关系判断及应用;交集及其运算.【试题分析】(1)先分别求出函数f(x)、g(x)的定义域A、B,再利用交集、并集的定义可求出A∩B和A∪B.(2)由C⊆A,分类讨论,即可求出实数p的取值范围.【试题解答】解:(1)∵x﹣2>0,解得x>2,∴函数f(x)=的定义域为集合A={x|x>2}. ∵9﹣x2≥0,解得﹣3≤x≤3,∴函数g(x)=的定义域为集合B={x|﹣3≤x≤3}.∴A∩B={x|x>2}∪{x|﹣3≤x≤3}=(2,3],A∪B={x|x>2}∪{x|﹣3≤x≤3}=[﹣3,+∞).(2)∵C={x|p﹣2<x<2p+1},且C⊆A,∴C=∅,p﹣2≥2p+1,∴p≤﹣3;C≠∅,,∴p≥4,综上所述,p≤﹣3或p≥4.20.某化工厂生产的某种化工产品,当年产量在150吨至250吨之间,其生产的总成本y(万元)与年产量x(吨)之间的函数关系式可近似地表示为问:(1)年产量为多少吨时,每吨的平均成本最低?并求出最低成本?(2)若每吨平均出厂价为16万元,则年产量为多少吨时,可获得最大利润?并求出最大利润?【知识考查点】函数模型的选择与应用.【试题分析】(1)利用总成本除以年产量表示出平均成本,利用基本不等式求出平均成本的最小值.(2)利用收入减去总成本表示出年利润,通过配方求出二次函数的对称轴,由于开口向下,对称轴处取得最大值.【试题解答】解:(1)设每吨的平均成本为W(万元/T),则W==+﹣30≥2﹣30=10,当且仅当=,x=200(T)时每吨平均成本最低,且最低成本为10万元.(2)设年利润为u(万元),则u=16x﹣(﹣30x+4000)=﹣+46x﹣4000=﹣(x﹣230)2+1290.所以当年产量为230吨时,最大年利润1290万元.21.已知函数f(x)=|x﹣a|,g(x)=x2+2ax+1(a为正常数),且函数f(x)和g(x)的图象与y轴的交点重合.(1)求a实数的值(2)若h(x)=f(x)+b(b为常数)试讨论函数h(x)的奇偶性;(3)若关于x的不等式f(x)﹣2>a有解,求实数a的取值范围.【知识考查点】函数的图象;函数奇偶性的判断.【试题分析】(1)由题意得:f(0)=g(0),即|a|=1,可得a=1.(2)利用奇偶函数的定义,确定b的值,进而可得函数的奇偶性.(3)关于x的不等式f(x)﹣2>a有解转化为|x﹣1|﹣2|x+1|的最大值大于或等于a,画出函数画出函数y=|x﹣1|﹣2|x+1|的图象,由图象可得答案.【试题解答】解:(1)由题意得:f(0)=g(0),即|a|=1,又∵a>0,∴a=1.(2)由(1)可知,f(x)=|x﹣1|,g(x)=x2+2x+1=(x+1)2,∴h(x)=f(x)+b=|x﹣1|+b|x+1|,若h(x)为偶函数,即h(x)=h(﹣x),则有b=1,此时h(2)=4,h(﹣2)=4,故h(2)≠﹣h(﹣2),即h(x)不为奇函数;若h(x)为奇函数,即h(x)=﹣h(﹣x),则b=﹣1,此时h(2)=2,h(﹣2)=﹣2,故h(2)≠h(﹣2),即h(x)不为偶函数;综上,当且仅当b=1时,函数h(x)为偶函数,且不为奇函数,当且仅当b=﹣1时,函数h(x)为奇函数,且不为偶函数,当b≠±1时,函数h(x)既非奇函数又非偶函数.(3)关于x的不等式f(x)﹣2>a有解,即x的不等式|x﹣1|﹣2|x+1|>a有解故|x﹣1|﹣2|x+1|的最大值大于或等于a,画出函数y=|x﹣1|﹣2|x+1|的图象,如图所示:由图象可知,|x﹣1|﹣2|x+1|的最大值为2,∴a<222.已知函数f(x)=(1)求证f(x)在(0,+∞)上递增(2)若f(x)在[m,n]上的值域是[m,n],求实数a的取值范围(3)当f(x)≤2x在(0,+∞)上恒成立,求实数a的取值范围.【知识考查点】函数恒成立问题;函数的值域.【试题分析】(1)利用f'(x)=>0即可证明f(x)在(0,+∞)上递增;(2)若f(x)在[m,n]上的值域是[m,n],则则,构造函数y=与y=x+(x>0),利用两函数的图象有两个公共点,即求实数a的取值范围;(3)当f(x)≤2x在(0,+∞)上恒成立⇒a≥=在(0,+∞)上恒成立,构造函数g(x)=,利用基本不等式可求得g(x)max,从而可求实数a的取值范围.【试题解答】(1)证明:∵f(x)=﹣,x∈(0,+∞),∴f'(x)=>0,故函数f(x)在(0,+∞)上单调递增;(2)∵f(x)在(0,+∞)上单调递增,∴若f(x)在[m,n]上的值域是[m,n],则,即,故函数y=与y=x+(x>0)的图象有两个公共点,∵当x>0时,y=x+≥2(当且仅当x=,即x=1时取“=”),∴≥2,解得0<a≤.(3)∵f(x)=﹣,f(x)≤2x在(0,+∞)上恒成立上,∴a≥=在(0,+∞)上恒成立,令g(x)=,则g(x)≤=(当且仅当2x=,即x=时取等号),要使(0,+∞)上恒成立,故a的取值范围是[,+∞).23.定义实数a,b间的计算法则如下a△b=.(1)计算2△(3△1);(2)对0<x<z<y的任意实数x,y,z,判断x△(y△z)与(x△y)△z的大小,并说明理由;(3)写出函数y=(1△x)+(2△x),x∈R的解析式,作出该函数的图象,并写出该函数单调递增区间和值域(只需要写出结果).【知识考查点】分段函数的应用;函数解析式的求解及常用方法;函数的图象.【试题分析】(1)先求出3△1,再求出2△(3△1)的值即可;(2)分别求出x△(y△z)和(x△y)△z的值,讨论y2与z的大小即可;(3)讨论x的大小,分x≥2,x<1,1≤x<2,求得函数式,画出函数图象,即可得到该函数单调递增区间和值域.【试题解答】解:(1)实数a,b间的计算法则如下a△b=.则2△(3△1)=2△3=32=9;(2)对0<x<z<y的任意实数x,y,z,x△(y△z)=x△y=y2,(x△y)△z=y2△z,此时若y2≥z,则(x△y)△z=y2;若y2<z,则(x△y)△z=z2.即若y2≥z,则x△(y△z)=(x△y)△z;若y2<z,则x△(y△z)>(x△y)△z.(3)当x>2时,y=(1△x)+(2△x)=x2+x2=2x2;当1<x≤2时,y=(1△x)+(2△x)=x2+2;当x≤1时,y=(1△x)+(2△x)=1+2=3.即有y=,画出函数y的图象,如右:该函数单调递增区间为(1,2),(2,+∞);值域为[3,+∞).2017年1月4日。

上海市复兴高级中学高三第1次综合练习 英语试题

上海市复兴高级中学高三第1次综合练习 英语试题

虹口区2011学年度第一学期高三年级英语学科第一次分层练习(A)第I卷(105分)I. Listening ComprehensionSection 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 conversations 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. Johnson. B. George.C. The woman.D. Both George and Johnson.2. A. On the third floor. B. At a bookstore.C. In a department store.D. In the men’s department.3. A. At four-thirty. B. At five o’clock.C. At five-thirty.D. At four o’clock.4. A. $3. B.$6. C. $8. D. $12.5. A. An article in the newspaper. B. A telephone conversation.C. A play in the theatre.D. A play on television.6. A. He can’t afford that much for a trip.B. He is fortunate to have made a lot of money.C. He doesn’t think 15,000 dollars will be enough for such a trip.D. 15,000 dollars is only a small sum of money for him.7. A. The bus was late. B. She forgot her class.C. She got up later than usual.D. Her clock went wrong.8. A. Tom was not allowed to watch television.B. Tom bought an expensive watch.C. Tom does like television.D. Tom should watch more television.9. A. It’s difficult. B. It’s easy.C. It’s too short.D. It takes her only one hour.10.A. Teacher and student. B. Boss and secretary.C. Father and daughter.D. Husband and wife.Section BDirections:In Section B, you will hear two short passages, and you will be asked three questions on each of the passages. The passages 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.Questions 11 through 13 are based on the following passage.11.A. Two inches. B. Fifteen inches. C. Twenty-four inches. D. One foot.12.A. Near Denver. B. In Florida.C. In the desert southwest.D. Along the gulf coast.13.A. Hot. B. Cool. C. Warm. D. Cold. Questions 14 through 16 are based on the following passage.14.A. Terrorists. B. Organizations. C. Top officials. D. Americans15.A. Because Jordan (约旦)likes to make friends with other countries.B. Because Jordan is not far from America.C. Because Jordan was against the Iraqi War.D. Because Jordan worked closely with America in the war against terrorism.16.A. Because it might be attacked again.B. Because some top officials resigned.C. Because its army is too weak.D. Because it is a very beautiful garden in the Middle East.Section CDirections:In Section C, you will hear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with the information you have heard. Write your answers on your answer sheet.Blanks 17 through 20 are based on the following conversation.Blanks 21 through 24 are based on the following conversation.Why must Smith get to France as soon as possible? Because he wants to (22) ______ his brother’s wedding.What’s the reason for his liking a window seat? He loves to (23) ______ on the ground while flying.When will the flight arrive at itsdestination?At the (24) ______ 12:00 .PM. Complete the form. Write NO MORE THAN THREE WORDS for each answer. II. Grammar and VocabularySection ADirections:Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.25.Kathy and her pen-pal keep in touch _____ writing to each other often.A. withB. ofC. onD. by26.----Which of the electronic dictionaries do you like best?----_____.They are both expensive and of little use.A. NoneB. EitherC. NeitherD. Any27.It rained continuously for about two weeks, completely _____ our holiday.A. ruinedB. ruinC. to ruinD. ruining28.Facts prove that the Sino-American economic cooperation is not awin-lose game but one in which all _____be winners.A. canB. shallC. mustD. would29.---- Have their living conditions improved after all these years?---- No, _____ than before, I’m afraid.A. no worseB. not worseC. a little betterD. no better30.Next door to ours _____, who is no less than 90 and still looks energetic.A. that lives a senior manB. lives a senior manC. does a senior man liveD. where a senior man lives31.The past few years _____ great increase in the difficulty of economy andemployment.A. witnessedB. have been witnessedC. have witnessedD. had witnessed32._____ your budget, pay special attention to each dollar you spend every day.A. FollowB. To followC. FollowingD. Followed33._____ in a well-known university is what every student wishes for all over theworld.A. EducatedB. To educateC. Being educatedD. Educating34.The telephone _____, but by the time I rushed into the room, it had alreadystopped.A. was ringingB. had rungC. ringsD. has rung35.Word came, as expected, _____ my nephew was chosen to be a foreign aiddoctor to work in Africa for a year.A. itB. thatC. whatD. which36.How long do you think it will be _____ the Microsoft Corporation puts forwarda new product?A. thatB. sinceC. untilD. before37.Anger is good for you, _____ you control it properly, according to a newpsychology research.A. wheneverB. whileC. as long asD. in case38.Having checked the doors were shut, and _____ all the lights were off, theboy went to his bedroom.A. whyB. thatC. whenD. where39.At last I’ve come to the point _____ I can't stand her arguing and screamingany longer.A. whereB. whichC. thatD. why40.The high CPI problem we are looking forward to seeing _____ should drawthe government’s at tention.A. solvingB. solveC. solvedD. to solve 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.passed away. I have heard these sons and daughters say they never __41__ appreciated their mothers until it was too late to tell them. I am __42__ with the dear mother who is still alive. I __43__ her more each day. My mother does not change, but I do. As I grow older and wiser, I realize what an extraordinary person she is. How sad that I am unable to speak these words in her __44__, but they flow easily from my pen.How does a daughter begin to thank her mother for life itself? For the love, patience and just plain hard work that go into __45__ a child? For running after a toddler (学走步的小孩), for understanding a moody teenager, for tolerating a college student who knows everything? For waiting for the day when a daughter realizes how wise her mother really is?How does a __46__ woman thank a mother for continuing to be a mother? For being ready with advice when asked or remaining __47__ when it is mostappreciated? For not saying, “I told you so,” when she could have said these words dozens of times? For being essentially herself ---- loving, __48__, patient, and forgiving?I don't know how, dear God, except to ask you to bless her as richly as she deserves and to help me live up to the __49__ she has set. I pray that I will look as good in the eyes of my children as my mother looks in mine.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.Dear son,In the days when you see me old and I am already not in good health, have patience and try to understand me.If I get dirty when eating; if I can not dress, have patience and remember the hours I _50__ teaching it to you. If, when I speak to you, I 51 the same things thousand and one times, do not interrupt me, listen to me. When you were small, I had to read to you thousand and one times the same story until you got to sleep. When I do not want to have a 52 _, neither shame me nor scold me. Remember when I had to chase you with thousand excuses I 53 , in order that you wanted to bath. When you see my 54 little about new technologies,give me the necessary time and do not look at me with your mocking (嘲弄) smile.I taught you how to do so many things: to eat good, to dress well, to confront life… When at some moment I lose the memory or the 55_ of our conversation, let me have the necessary time to remember, and if I cannot do it, do not become nervous, as the most important thing is not our conversation but surely to be with you and to have you 56 to me.If ever I do not want to eat, do not force me. I know well when I need to and when not. When my 57 legs do not allow me to walk, give me your 58 , the same way I did when you gave your first 59 . And when someday I say to you that I do not want to live any more—that I want to die, do not get 60 . Someday you will understand.Try to understand that my age is not lived but survived. Someday you will discover that, __61__ my mistakes, I always wanted the 62 thing for you and that I tried to prepare the way for you. You must not feel sad, angry orimpotent (无可奈何) for seeing me near you. You must be next to me, try tounderstand me and to help me as I did it when you 63 your living. Help me to walk, help me to end my way 64 . I will pay you by a smile and by theimmense love I have had always for you.I love you, Son.Your father50.A. paid B. spent C. cost D. took51.A. praised B. thought C. repeated D. criticized52.A. rest B. word C. shower D. sleep53.A. discovered B. invented C. noticed D. produced54.A. knowing B. talking C. enjoying D. consulting55.A. information B. attitude C. material D. thread56.A. talking B. listening C. responding D. appealing57.A. tired B. sensitive C. strong D. cold58.A. leg B. direction C. hand D. advice59.A. step B. stop C. aid D. cry60.A. incredible B. angry C. relaxed D. dreadful61.A. in reward for B. in reply to C. in place of D. in spite of62.A. last B. first C. best D. most63.A. made B. started C. earned D. found64.A. with mercy B. with care C. with excuse D. with patience Section BDirections: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)New York Times----A gunman killed eight people at a mall in Omaha this afternoon and then killed himself, setting off panic among holiday shoppers, the police said.“The person who we believe to be the shooter has died from se lf-inflicted gunshot wounds,” Sergeant Teresa Negron of the Omaha Police Department said. “We have been able to clear the mall,” she said. “We don’t believe we have any other shooters.” The police said that at least five other people had been injured in the shootings.She did not give the shooter’s identity. “We are still conducting the investigation,” Sergeant Negron said, adding that the city’s mayor, who was out of town, was on his way back to Omaha.She said the police received a 911 call from someone inside the Westroads Mall on the west side of Omaha, and shots could be heard in the background. The first police officers arrived at the mall six minutes after the first call, she said, but by then the shootings were over.It is reported that the gunman left a suicide (自杀) note that was found at his home by relatives. A law enforcement official who spoke on condition of anonymity(匿名)said the note indicated that the gunman wanted to “go out in style.”The shootings broke the usual routine of holiday shopping. The gunman was said by some witnesses to have fired about 20 shots into a crowd. Some customers and workers ran screaming from the mall, while others dived into dressing rooms to hide from the shooter.Shoppers and store workers were trapped inside the mall, which has roughly 135 stores. Others streamed out of mall exits with their hands raised. President Obama was in Omaha this morning to deliver a speech, but he had left the city by the time the shootings took place.65.Where did the shooting first come out?A. In a newspaperB. On the InternetC. In TV newsD. In a police poster66.The underlined words “go out in style” probably mean “_____”?A. go out of the mall in particular clothesB. walk in the mall with everybody focused onC. go to a socially event by fashionable meansD. stop his life in a impressive way67.Which of the following is true according to the passage?A. Nobody knows why the shooter did so and nothing was found at his home.B. The city’s mayor happened not to be in the city when the shooting tookplace.C. Police arrived at the mall before the shootings were over and rescuedcustomers.D. The official who showed what the note mean have no request of his ownidentity.68.We can infer from the passage that ______.A. There were eight deaths in this event.B. The shooting created anger among the customers.C. An important holiday was coming soon.D. President Obama came here for the shooting.(B)From this passage, we can infer that in a new environment .A. there must be many chancesB. some students can feel scaredC. it’ll cost long to make new friendsD. students should keep honest70.If students find something difficult to deal with, they can .A. seek help from some advisorB. get the solution from a community discussionC. turn to outside presentersD. take part in the Health & Wellness program71.According to the passage, what are supposed to be posted to the students’home four times per year?A. The students’ grades and teachers’ comments.B. The students’ grades, teachers’ comments and the advisor’s report.C. Teachers’ comments, the advisor’s report and community discussion.D. The word of encouragement, teachers’ comments and the advisor’s report.(C)Scientists estimate that more than 60 percent of cancer deaths in the United States are preventable through lifestyle changes. Although there is no certain way to avoid all cancers, reducing individual risk factors significantly decreases the likelihood of getting many forms of this dangerous disease.The American Chemical Society estimates that smoking causes nearly 30 percent of all cancer deaths in the United States — that is, about 166,000 cancer deaths each year. All cancer deaths caused by tobacco smoking could be prevented completely by not smoking and not using smokeless tobacco. For those who already smoke, quitting will reduce the risk of developing cancer. Studies show that after about ten years of not smoking, a past smoker’s risk lowers to about the level of those who have never smoked.After quitting smoking, eating a healthy diet is the best way to lower the risk of cancer. Certain foods have been found to protect against cancer. Among these foods are cabbages, tomatoes, soy products, and foods high in vitamins A, C, and E. In addition, green and possibly black teas contain compounds that protect the body from cancer-causing substance.To lower cancer risk, diets should include little or no red meat. Other foods to avoid or consume in moderation include sugar, fat from animal products, and salt. Added fats and oils should come from vegetables, such as olives or corn, ratherthan from animal sources. Carbohydrates (碳水化合物)should come fromwhole grains, such as brown rice and whole wheat bread, rather than from processed foods, such as white rice and white bread.The risk of cancer of the esophagus(食道)increases with heavy alcoholconsumption, and many studies suggest that consuming alcoholic drinks increases the risk of breast cancer as well. Studies show that limiting intake to two drinks a day for men, and one drink per day for women, reduces cancer risk. Low levels of physical activity have been implicated(牵连)in some cancer. Moderate activity for 30 minutes a day enhances the immune system, shortens the time food takes to move through the intestines(肠), and changes body composition and hormone levels. Researchers are studying how these effects might lower cancer risk.72.Which do you think is the best title for this passage?A. Lifestyle and disease.B. Causes of cancers.C. Tips for cancer prevention.D. Ways to remain healthy.73.Which of the following is true according to the author?A. A person drinking tea regularly will not be likely to suffer from cancer.B. Once a smoker has stopped smoking, there is almost no chance of gettingcancers.C. A balanced diet is absolutely effective in preventing one from gettingcancer.D. Those who have quitted smoking for 10 years and non-smokers haveabout the same cancer risk.74.What kind of people increase their chances of getting cancers?A. Those whose foods contain less sugar, animal fat, and salt.B. One who is not moderate in drinking or eating.C. Those who have one or two drinks regularly.D. Those whose diet contains little red meat and a lot of vegetables.75.The last paragraph implies that _______.A. food’s staying in one’s body for too long a time might be related to a kindof cancerB. the reasons why physical activity lowers cancer risk are clearC. the more you exercise, the lower cancer risk you will takeD. plenty of physical exercise is most important for one to remain healthy Section CDirections: Read the following text and choose the most suitable heading from A-F for each paragraph. There is one extra heading which you do not need.Museums are places where collections of objects are preserved and put on show. The objects may be anything found in nature made by man. There are museums devoted to art, science, history, industry, and technology.77. ______But museums are no longer just storehouses for collections. Today nearly all museums, large or small, carry on educational programmes. Museums offer guided tours, lectures, films, music recitals, art lessons, and other attractions. Many large museums have large libraries open to qualified researchers. Oftenmuseums collect more objects than they have room to display. The best are chosen for exhibition, and the rest are kept in a study collection. These study collections can be used by students, researchers, and scholars.78. ______Museums work constantly to improve their collections and ways of displaying them. All museums share a common aim—to attract visitors and help them to understand and enjoy the collections. Museums are always on the watch for new additions to their collections. Museums also accept gifts, but the large museums no longer accept everything that is offered to them. They accept only objects of collections that meet their high standards.79. ______Museums often arrange loan exhibitions of important works from private owners, art dealers and other museums. In this way a famous masterpiece may be viewed by people who otherwise might never have the chance to see it. For example, in 1963 the Metropolitan Museum of Art in New York City exhibited one of the world’s most famous ladies: M ona Lisa, painted by Leonardo da Vinci. The government of France had lent the painting to the United States. Attendance at the Metropolitan had reached an all-time high during the month the Mona Lisa was shown there.80. ______What is to be gained from visiting museums? Museum exhibits can teach us about the world in which we live ----the materials it is made of, the trees, and plants that cover it, and the animals that have lived on it since its beginning. We can learn about the activities of man----his history and development and his accomplishments in arts and crafts. Most people see a great work of art for the first time in a museum. We can see wonderful examples of what man had been able to create out of clay, stone, metal, and wood or with a paintbrush and paints. We cannot all be explorers or collectors in other lands. But in a museum we can enjoy for ourselves the objects that have been gathered from every part of the world.Section DDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.A study involving 8,500 teenagers from all social backgrounds found that most of them are ignorant when it comes to money. The findings, the first in a series of reports from NatWest that has started a five-year research project into teenagers and money, are particularly worrying as this generation of young people is likely to be burdened with greater debts than any before.University tuition fees (学费) are currently capped at £3,000 annually, but this will be reviewed next year and the Government is under enormous pressure to raisethe ceiling.In the research, the teenagers were presented with the terms of four different loans but 76 per cent failed to identify the cheapest. The young people also predicted that they would be earning on average £31,000 by the age of 25, although the average salary for those aged 22 to 29 is just £17,815. The teenagers expected to be in debt when they finished university or training, although half said that they assumed the debts would be less than £10,000. Average debts for graduates are £12,363.Stephen Moir, head of community investment at the Royal Bank of Scotland Group which owns NatWest, said, “The more exposed young people are to financial issues, and the younger they become aware of them, the more likely they are to become responsible, forward-planning adults who manage their finances confidently and effectively.”Ministers are deeply concerned about the financial pressures on teenagers and young people because of student loans and rising housing costs. They have just introduced new lessons in how to manage debts. Nikki Fairweather, aged 15, from St Helens, said that she had benefited from lessons on personal finance, but admitted that she still had a lot to learn about money.(Note: Answer the questions or complete the statements in NO MORE THAN EIGHT WORDS.)81.What do many British teenagers have in common regardless of their socialbackgrounds?82.By saying “to raise the ceiling” in Para. 2, the author means “______”.83.Stephen Moir believes that young people are more likely to be confident andeffective in their money management if they are _______.84.How do teenagers estimate their future earnings according to the five-yearresearch project?第Ⅱ卷(共45分)I. TranslationDirections:Translate the following sentences into English, using the words given in the brackets.1、你认为这个书展怎样?(What)2、孩子们应该经历成功和失败,这对他们来说是一种财富。

河北省石家庄市复兴中学2016届高三上学期期中数学试卷

河北省石家庄市复兴中学2016届高三上学期期中数学试卷

2015-2016学年河北省石家庄市复兴中学高三(上)期中数学试卷(理科)一、选择题(本大题共12小题,每小题5分,共60分.在每小题给出的四个选项中,只有一项是符合题目要求的)1.已知集合A={x|y=lnx},集合B={﹣2,﹣1,1,2},则A∩B=()A.(1,2)B.{1,2} C.{﹣1,﹣2} D.(0,+∞)2.命题“对任意x∈R,都有x2≥0”的否定为()A.对任意x∈R,都有x2<0 B.不存在x∈R,都有x2<0C.存在x0∈R,使得x02≥0 D.存在x0∈R,使得x02<03.下列函数中,在其定义域内,既是奇函数又是减函数的是()A.f(x)=B.f(x)= C.f(x)=2﹣x﹣2x D.f(x)=﹣tanx4.已知点P(,﹣)在角θ的终边上,且θ∈=a2+4,则实数a=()A.0 B.2 C.﹣2 D.0或29.已知函数y=f(x)的图象是下列四个图象之一,且其导函数y=f′(x)的图象如图所示,则该函数的图象是()A. B. C. D.10.若函数f(x)满足f(x)=x3﹣f′(1)•x2﹣x,则f′(1)的值为()A.0 B.2 C.1 D.﹣111.若函数f(x)=2sinωx(ω>0)的图象在(0,2π)上恰有一个极大值和一个极小值.则ω的取值范围是()A.(,1] B.(1,] C.(,] D.(,]12.函数y=的图象与函数y=2sinπx(﹣2≤x≤4)的图象所有交点的横坐标之和等于()A.2 B.4 C.6 D.8二、填空题(本大题共5小题,每小题5分,共20分.把答案填在答题中横线上)13.直线y=1与曲线y=x2﹣|x|+a有四个交点,则a的取值范围是.14.不等式的解集是.15.曲线y=与直线y=x,x=2所围成图形面积为.16.已知奇函数f(x)的图象关于直线x=﹣2对称,当x∈时,f(x)=2x,则f(﹣9)= .17.设f(x)与g(x)是定义在同一区间上的两个函数,若函数y=f(x)﹣g(x)在x∈上有两个不同的零点,则称f(x)和g(x)在上是“关联函数”,区间称为“关联区间”.若f(x)=x2﹣3x+4与g(x)=2x+m在上是“关联函数”,则m的取值范围.三、解答题:本大题共6小题,满分70分.解答应写出文字说明、证明过程或演算步骤.18.已知条件p:A={x|x2﹣2mx+m2﹣4≤0,x∈R,m∈R},条件q:B={x|x2﹣2x﹣3≤0,x∈R}.(1)若A∩B={x|0≤x≤3},求实数m的值;(2)若q是¬p的充分条件,求实数m的取值范围.19.已知函数f(x)=﹣x3+x2﹣2x(a∈R)(1)当a=3时,求函数f(x)的单调区间;(2)若对于任意x∈,求实数a的值.(2)函数f(x)定义在R上且f(x)=﹣f(x+),当≤x≤3时,f(x)=log2(ax2﹣2x+2),若f(35)=1,求实数a的值.21.备受瞩目的巴西世界杯正在如火如荼的进行,为确保总决赛的顺利进行,组委会决定在位于里约热内卢的马拉卡纳体育场外临时围建一个矩形观众候场区,总面积为72m2(如图所示).要求矩形场地的一面利用体育场的外墙,其余三面用铁栏杆围,并且要在体育馆外墙对面留一个长度为2m的入口.现已知铁栏杆的租用费用为100元/m.设该矩形区域的长为x(单位:m),租用铁栏杆的总费用为y(单位:元)(Ⅰ)将y表示为x的函数;(Ⅱ)试确定x,使得租用此区域所用铁栏杆所需费用最小,并求出最小最小费用.22.设f(log a x)=,(0<a<1)(1)求f(x)的表达式,并判断f(x)的奇偶性;(2)判断f(x)的单调性;(3)对于f(x),当x∈(﹣1,1)时,恒有f(1﹣m)+f(1﹣m2)<0,求m的取值范围.23.已知函数f(x)=lnx﹣mx+m,m∈R.(1)已知函数f(x)在点(l,f(1))处与x轴相切,求实数m的值;(2)求函数f(x)的单调区间;(3)在(1)的结论下,对于任意的0<a<b,证明:<﹣1.2015-2016学年河北省石家庄市复兴中学高三(上)期中数学试卷(理科)参考答案与试题解析一、选择题(本大题共12小题,每小题5分,共60分.在每小题给出的四个选项中,只有一项是符合题目要求的)1.已知集合A={x|y=lnx},集合B={﹣2,﹣1,1,2},则A∩B=()A.(1,2)B.{1,2} C.{﹣1,﹣2} D.(0,+∞)【考点】交集及其运算.【分析】集合A表示的是对数函数的定义域,令真数大于0求出A,利用交集的定义求出A∩B.【解答】解:∵A={x|y=lnx}={x|x>0}又∵B={﹣2,﹣1,1,2},∴A∩B={1,2}故选B2.命题“对任意x∈R,都有x2≥0”的否定为()A.对任意x∈R,都有x2<0 B.不存在x∈R,都有x2<0C.存在x0∈R,使得x02≥0 D.存在x0∈R,使得x02<0【考点】命题的否定;全称命题.【分析】直接利用全称命题的否定是特称命题,写出命题的否定命题即可.【解答】解:因为全称命题的否定是特称命题,所以命题“对任意x∈R,都有x2≥0”的否定为.存在x0∈R,使得x02<0.故选D.3.下列函数中,在其定义域内,既是奇函数又是减函数的是()A.f(x)=B.f(x)=C.f(x)=2﹣x﹣2x D.f(x)=﹣tanx【考点】奇偶性与单调性的综合.【分析】根据函数的解析式及基本初等函数的性质,逐一分析出四个函数的单调性和奇偶性,即可得到答案.【解答】解:A中,f(x)=是奇函数,但在定义域内不单调;B中,f(x)=是减函数,但不具备奇偶性;C中,f(x)2﹣x﹣2x既是奇函数又是减函数;D中,f(x)=﹣tanx是奇函数,但在定义域内不单调;故选C.4.已知点P(,﹣)在角θ的终边上,且θ∈=a2+4,则实数a=()A.0 B.2 C.﹣2 D.0或2【考点】分段函数的应用.【分析】由分段函数的表达式,先求f(0),再求f,解关于a的方程即可.【解答】解:∵函数f(x)=,∴f(0)=20+1=2,∴f=f(2)=4+2a=a2+4,∴a=0或a=2.故选:D.9.已知函数y=f(x)的图象是下列四个图象之一,且其导函数y=f′(x)的图象如图所示,则该函数的图象是()A.B.C. D.【考点】函数的图象.【分析】根据导数的图象,利用函数的单调性和导数的关系,得出所选的选项.【解答】解:由导数的图象可得,导函数f′(x)的值在上的逐渐增大,故函数f(x)在上增长速度逐渐变大,故函数f(x)的图象是下凹型的.导函数f′(x)的值在上的逐渐减小,故函数f(x)在上增长速度逐渐变小,图象是上凸型的,故选B.10.若函数f(x)满足f(x)=x3﹣f′(1)•x2﹣x,则f′(1)的值为()A.0 B.2 C.1 D.﹣1【考点】导数的几何意义;函数的值.【分析】先根据f(x)=x3﹣f′(1)•x2﹣x求导,再把x=1代入,求f′(1)的值【解答】解;求函数f(x)=x3﹣f′(1)•x2﹣x的导数,得,f′(x)=x2﹣2f′(1)x ﹣1,把x=1代入,得,f′(1)=1﹣2f′(1)﹣1∴f′(1)=0故选A11.若函数f(x)=2sinωx(ω>0)的图象在(0,2π)上恰有一个极大值和一个极小值.则ω的取值范围是()A.(,1] B.(1,] C.(,] D.(,]【考点】三角函数的最值;三角函数的周期性及其求法.【分析】根据函数f(x)=2sinωx(ω>0)的图象在(0,2π)恰有一个极大值和一个极小值,结合周期的求法,得T<2π≤,由此可得到结论.【解答】解:由题意可得T<2π≤,即•<2π≤•,求得<ω≤,故选:D.12.函数y=的图象与函数y=2sinπx(﹣2≤x≤4)的图象所有交点的横坐标之和等于()A.2 B.4 C.6 D.8【考点】函数的零点;数列的求和.【分析】作出函数的图象,利用对称性,即可得出结论.【解答】解:如图所示,两个图象在点(1,0)对称,然后﹣2到4一共有4个交点,对称的两交点横坐标和为1的2倍,4个点就是两对对称点,所以和为4.故选B.二、填空题(本大题共5小题,每小题5分,共20分.把答案填在答题中横线上)13.直线y=1与曲线y=x2﹣|x|+a有四个交点,则a的取值范围是(1,).【考点】二次函数的性质.【分析】在同一直角坐标系内画出直线y=1与曲线y=x2﹣|x|+a的图象,观察求解.【解答】解:如图,在同一直角坐标系内画出直线y=1与曲线y=x2﹣|x|+a,观图可知,a的取值必须满足,解得.故答案为:(1,)14.不等式的解集是.【考点】其他不等式的解法.【分析】法一是移项后平方,注意等价转化为不等式组,化简求交集即可;法二是化简为等价不等式组的形式,求不等式组的解集.【解答】解:法一:原不等式等价于解得0≤x≤2.法二:故答案为:15.曲线y=与直线y=x,x=2所围成图形面积为﹣ln2 .【考点】定积分.【分析】作出曲线与直线y=x、x=2的图象,求出它们的交点坐标,可得所求面积为函数x﹣在区间上的定积分的值,再用定积分计算公式加以运算即可得到本题答案.【解答】解:∵曲线和曲线y=x的交点为A(1,1)直线y=x和x=2的交点为B(2,2)∴曲线与直线y=x,x=2所围成图形面积为S==(﹣ln2)﹣(﹣ln1)=故答案为:16.已知奇函数f(x)的图象关于直线x=﹣2对称,当x∈时,f(x)=2x,则f(﹣9)= ﹣2 .【考点】奇偶函数图象的对称性;函数的值.【分析】先由图象关于直线x=﹣2对称得f(﹣4﹣x)=f(x),再与奇函数条件结合起来,有f(x+8)=f(x),得f(x)是以8为周期的周期函数,从而f(﹣9)=﹣f(1),从而求出所求.【解答】解;∵图象关于直线x=﹣2对称∴f(﹣4﹣x)=f(x)∵f(x)是奇函数∴f(﹣x)=﹣f(x)∴f(﹣4﹣x)=﹣f(﹣x),即﹣f(﹣4+x)=f(x),故f(x﹣8)=f=﹣f(x﹣4)=f(x),进而f(x+8)=f(x)∴f(x)是以8为周期的周期函数.f(﹣9)=﹣f(1)=﹣2故答案为:﹣217.设f(x)与g(x)是定义在同一区间上的两个函数,若函数y=f(x)﹣g(x)在x∈上有两个不同的零点,则称f(x)和g(x)在上是“关联函数”,区间称为“关联区间”.若f(x)=x2﹣3x+4与g(x)=2x+m在上是“关联函数”,则m的取值范围.【考点】函数的零点;函数的值.【分析】由题意可得h(x)=f(x)﹣g(x)=x2﹣5x+4﹣m 在上有两个不同的零点,故有,由此求得m的取值范围.【解答】解:∵f(x)=x2﹣3x+4与g(x)=2x+m在上是“关联函数”,故函数y=h(x)=f(x)﹣g(x)=x2﹣5x+4﹣m在上有两个不同的零点,故有,即,解得﹣<m≤﹣2,故答案为.三、解答题:本大题共6小题,满分70分.解答应写出文字说明、证明过程或演算步骤.18.已知条件p:A={x|x2﹣2mx+m2﹣4≤0,x∈R,m∈R},条件q:B={x|x2﹣2x﹣3≤0,x∈R}.(1)若A∩B={x|0≤x≤3},求实数m的值;(2)若q是¬p的充分条件,求实数m的取值范围.【考点】必要条件、充分条件与充要条件的判断.【分析】(1)根据集合的交集,判断出区间端点的值和大小,得到m的值,即本题结论;(2)根据充要条件关系得到m的取值范围的关系,判断出区间端点值的大小,得到m取值范围,即本题结论.【解答】解:(1)由已知得:A={x|m﹣2≤x≤m+2}.B={x|﹣1≤x≤3},∵A∩B=,∴,∴,∴m=2.(2)∵q是¬p的充分条件,∴B⊆∁R A,而∁R A={x|x<m﹣2或x>m+2},∴m﹣2>3或m+2<﹣1,∴m>5或m<﹣3.∴实数m的取值范围为m>5或m<﹣3.19.已知函数f(x)=﹣x3+x2﹣2x(a∈R)(1)当a=3时,求函数f(x)的单调区间;(2)若对于任意x∈,求实数a的值.(2)函数f(x)定义在R上且f(x)=﹣f(x+),当≤x≤3时,f(x)=log2(ax2﹣2x+2),若f(35)=1,求实数a的值.【考点】交集及其运算;对数的运算性质.【分析】(1)结合题意,得出不等式ax2﹣2x+2>0的解集为(﹣2,).说明a为负数且,可得实数a的值;(2)由f(x)=﹣f(x+),得f(x)=﹣f(x+)=f(x+)=f(x+3),得f (x)的周期为3,知f(35)=f(2),由此能求出a.【解答】解:(1))∵P∩Q=[,),P∪Q=(﹣2,3],∴Q=(﹣2,).即不等式ax2﹣2x+2>0的解集为=(﹣2,).∴a<0且,∴a=﹣.(2)∵函数f(x)定义在R上且f(x)=﹣f(x+),∴f(x)=﹣f(x+)=f(x+)=f(x+3),∴f(x)的周期为3,f(35)=f(3×11+2)=f(2)=log2(a•22﹣4+2)=1,所以a=1.21.备受瞩目的巴西世界杯正在如火如荼的进行,为确保总决赛的顺利进行,组委会决定在位于里约热内卢的马拉卡纳体育场外临时围建一个矩形观众候场区,总面积为72m2(如图所示).要求矩形场地的一面利用体育场的外墙,其余三面用铁栏杆围,并且要在体育馆外墙对面留一个长度为2m的入口.现已知铁栏杆的租用费用为100元/m.设该矩形区域的长为x(单位:m),租用铁栏杆的总费用为y(单位:元)(Ⅰ)将y表示为x的函数;(Ⅱ)试确定x,使得租用此区域所用铁栏杆所需费用最小,并求出最小最小费用.【考点】基本不等式在最值问题中的应用.【分析】(Ⅰ)根据要求矩形场地的一面利用体育场的外墙,其余三面用铁栏杆围,并且要在体育馆外墙对面留一个长度为2m的入口.现已知铁栏杆的租用费用为100元/m.可得y表示为x的函数;(Ⅱ)由均值不等式可得结论.【解答】解:(Ⅰ)依题意有:y=100(+x﹣2),其中x>2;(Ⅱ)由均值不等式可得:y=100(+x﹣2)=100(+x﹣2)≥100(2﹣2)=2200,当且仅当=x,即x=12时取“=”综上:当x=12时,租用此区域所用铁栏杆所需费用最小,最小费用为2200元.22.设f(log a x)=,(0<a<1)(1)求f(x)的表达式,并判断f(x)的奇偶性;(2)判断f(x)的单调性;(3)对于f(x),当x∈(﹣1,1)时,恒有f(1﹣m)+f(1﹣m2)<0,求m的取值范围.【考点】利用导数研究函数的单调性;函数奇偶性的判断.【分析】(1)利用换元法,设log a x=t,则x=a t,代入化简即可,再利用奇偶性的定义证明即可,(2)函数为增函数,利用定义证明即可,(3)利用函数为奇函数和增函数,得到不等式组,解得即可.【解答】解:(1)设log a x=t,则x=a t,∴f(t)===∴f(x)=∴f(﹣x)=(a﹣x﹣a x)=﹣f(x),∴f(x)为奇函数,(2)函数为增函数,∵f(x)=设x1<x2,f(x1)﹣f(x2)=()=(﹣+﹣),∵0<a<1时,∴a2﹣1<0,>1,∴﹣>0,+﹣>0,∴f(x1)﹣f(x2)<0,即f(x1)<f(x2),∴f(x)在(﹣∞,+∞)上单调递增;(3)∵f(1﹣m)+f(1﹣m2)<0,∴f(1﹣m)<﹣f(1﹣m2)=f(m2﹣1),∵f(x)在(﹣∞,+∞)上单调递增;∴解得,1<m,故m的取值范围为(1,).23.已知函数f(x)=lnx﹣mx+m,m∈R.(1)已知函数f(x)在点(l,f(1))处与x轴相切,求实数m的值;(2)求函数f(x)的单调区间;(3)在(1)的结论下,对于任意的0<a<b,证明:<﹣1.【考点】利用导数研究曲线上某点切线方程;利用导数研究函数的单调性.【分析】(1)求出原函数的导函数,由函数f(x)在点(l,f(1))处与x轴相切,可得f′(1)=0,从而求得m的值;(2)由(1)中求得的函数f(x)的导函数,对m进行分类,m≤0时,有f′(x)>0,函数f(x)在(0,+∞)递增;m>0时,由导函数大于0和小于0分别求出函数的增区间和减区间;(3)把(1)中求出的m值代入函数解析式,把<﹣1转化为,令后转化为lnt﹣t+1<0,t>1,即f(t)<0,t>1.由(2)中的函数的单调性得到证明.【解答】(1)解:由f(x)=lnx﹣mx+m,得.∵f(x)在点(l,f(1))处与x轴相切,∴f′(1)=1﹣m=0,即m=1;(2)解:∵.当m≤0时,,知函数f(x)在(0,+∞)递增;当m>0时,,由f′(x)>0,得,由f′(x)>0,得.即函数f(x)在上递增,在上递减;(3)证明:由(1)知m=1,得f(x)=lnx﹣x+1,对于任意的0<a<b,<﹣1可化为,其中0<a<b,⇔,其中0<a<b,⇔⇔lnt﹣t+1<0,t>1,即f(t)<0,t>1.由(2)知,函数f(x)在(1,+∞)递减,且f(1)=0,于是上式成立.故对于任意的0<a<b,成立.2016年8月22日。

上海市复兴高级中学2016届高三3月月考数学(理)试题 Word版含答案

上海市复兴高级中学2016届高三3月月考数学(理)试题 Word版含答案

2015学年第二学期 高三数学 理科试卷考生注意:1.本试卷共4页,23道试题,满分150分,考试时间120分钟.2.本考试分设试卷和答题纸. 作答必须涂(选择题)或写(非选择题)在答题纸上,在试卷上作答一律不得分.一、填空题(本大题共有14题,满分56分.)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4分,否则一律得零分.1. 已知集合{}{}032,lg 2<--===x x x B x y x A ,则A B = _______________. 2.复数(1i)(1i)a ++是实数,则实数a =_______________. 3. 方程22log (x 1)2log (x 1)-=-+的解集为_________.5.已知0y x π<<<,且tan tan 2x y ⋅=,sin sin 3x y ⋅=,则x y -= . 6. 设等差数列{}n a 的前n 项和为n S ,若7=42S ,则237a a a ++= .7.圆22(2)4C x y -+=:, 直线1:l y =,2:1l y kx =-,若12,l l 被圆C 所截得的弦的长度之比为1:2,则k 的值为_________.9. 已知()ln()f x x a x=+-,若对任意的R m ∈,均存在00x >使得0()f x m =,则实数a 的取值范围是 .10.直线=(1)(0)y k x k +>与抛物线2=4y x 相交于,A B 两点,且,A B 两点在抛物线的准线上的射影分别是,M N ,若2BN AM =,则k 的值是 .11.在极坐标中,直线sin 3ρθ=被圆4sin ρθ=截得的弦长为 .12.一射手对靶射击,直到第一次中靶为止.他每次射击中靶的概率是0.9,他有3颗弹子,射击结束后尚余子弹数目ξ的数学期望E ξ= . 13. 已知ABC ∆,若存在111A B C ∆,满足111cos cos cos 1sin sin sin A B CA B C ===,则称111A B C ∆是ABC ∆的一个“友好”三角形.在满足下述条件的三角形中,存在“友好”三角形的是_______:(请写出符合要求的条件的序号)①90,60,30A B C === ;②75,60,45A B C ===; ③75,75,30A B C === .14.如图,在△ABC 中,90ACB ︒∠=,2AC =,1BC =,点A 、C 分别在x 轴、y 轴上,当点A 在x 轴上运动时,点C 随之在y 轴上运动,在运动过程中,点B 到原点O 的最大距离是 .二、选择题(本大题共有4题,满分20分.)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,将代表答案的小方格涂黑,选对得5分,否则一律得零分 15.已知数列{}n a 中,1111,1n na a a +==+,若利用下面程序框图计算该数列的第2016项,则判断框内的条件是( ) A .2014≤n B .2016n ≤ C .2015≤n D .2017n ≤A .2a b c +=B .2a b c +≤C .2a b c +<D .2a b c +≥17.已知集合22{(,)|1}M x y x y =+≤,若实数,λμ满足:对任意的(,)x y M ∈,都有(,)x y Mλμ∈,则称(,)λμ是集合M 的“和谐实数对”.则以下集合中,存在“和谐实数对”的是 ( )A .}4|),{(=+μλμλB .}4|),{(22=+μλμλC .}44|),{(2=-μλμλD .}4|),{(22=-μλμλ18. 已知正方体''''ABCD A B C D -,记过点A 与三条直线,,'AB AD AA 所成角都相等的直线条数为m , 过点A 与三个平面..',,'AB AC AD 所成角都相等的直线的条数为n ,则下面结论正确的是( )A .1,1m n ==B .4,1m n == C. 3,4m n == D .4,4m n ==三、解答题(本大题共有5题,满分74分.)解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.19.(本题满分12分)本题共有2个小题,第(1)小题满分6分,第(2)小题满分6分. π21.(本题满分14分)本题共有2个小题,第(1)小题6分,第(2)小题8分.已知椭圆2222:1(a b 0)x y C a b+=>>的右顶点、上顶点分别为A 、B ,坐标原点到直线AB的距离为3,且a =. (1)求椭圆C 的方程;(2)过椭圆C 的左焦点1F 的直线l 交椭圆于M 、N 两点, 且该椭圆上存在点P ,使得四边形MONP (图形上字母按此 顺序排列)恰好为平行四边形,求直线l 的方程.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.对于函数(x)f ,若在定义域内存在实数x ,满足(x)(x)f f -=-,称(x)f 为“局部奇 函数”.(1) 已知二次函数2(x)24(R)f a x x a a =+-∈,试判断(x)f 是否为“局部奇函数”?并说明理由;(2)若(x)2xf m =+是定义在区间[1,1]-上的“局部奇函数”,求实数m 的取值范围; (3)若12(x)423xx f m m +=-⋅+-是定义在R 的“局部奇函数”,求实数m 的取值范围.23.(本题满分18分)本题共有3个小题,第(1)小题满分4分,第(2)小题①满分6分, 第(2)小题②满分8分.已知等比数列{}n a 的首项12015a =,数列{}n a 前n 项和记为n S ,前n 项积记为n T . (1) 若360454S =,求等比数列{}n a 的公比q ; (2) 在(1)的条件下,判断|n T |与|1n T +|的大小;并求n 为何值时,n T 取得最大值; (3) 在(1)的条件下,证明:若数列{}n a 中的任意相邻三项按从小到大排列,则总可以使其成等差数列;若所有这些等差数列的公差按从小到大的顺序依次记为12,,,n d d d ,则数列{}n d 为等比数列.2015学年第二学期考试参考答案和评分标准一、填空题(本大题共14题,每题4分,满分56分)1. )3,0( 2.-1 3.4.92 5.3π6. 187.12 8.8π 9. ),4[+∞ 1011.(理) (文)6 12. (理)1.89(文)3+ 13.② 14.(理)1 (文)22(1)(1)1x y -+-=二、选择题(本大题共4题,每题5分,满分20分)15. C 16. B 17. C 18. D三、解答题(本大题共5题,满分74分)19.(本题满分12分)本题共2个小题,每小题6分. 解:(理)(1)B AEFC V -=111(42)224332AEFC S AB =⋅=⋅⋅+⨯⨯=……6分 (2)建立如图所示的直角坐标系,则)0,0,0(A ,(0,2,0)B ,(0,0,2)E ,(2,0,4)F ,(2,0,2)EF = ,(0,2,2)EB =-……………………7分设平面BEF 的法向量为(,,)n x y z = ,则22011,1220n E F x z z x y n E F y z ⎧⋅=+=⎪⇒==-=⎨⋅=-=⎪⎩取得, 所以(1,1,1)n =-……………………………9分平面ABC 的法向量为1(0,0,1)n =,则11cos 3n n n n θ⋅===⋅所以BEF ∆所在半平面与ABC ∆所在半平面所成二面角θ.…12分 解:(文)(1)111111111111142223323A B C F F A B C A B C V V S C F --∆==⋅=⋅⋅⨯⨯= …6分 (2)连接CE ,由条件知1//CE FA ,所以CEB ∠就是异面直线BE 与1A F 所成的角.8分 在CEB ∆中,BC CE BE ===60CEB ∠=, ………………10分 所以异面直线BE 与1A F 所成的角为60. …………………………………12分20.(本题满分14分)本题共有2小题,第小题满分6分,第小题满分8分. 解:(1) BC 与圆O 相切于A ,∴OA ⊥BC,在∆ABC 中,tan AB r θ=……2分同理,可得3tan()4AC r πθ=-………4分 223tan tan()4y m aAB aAC m ar ar πθθ∴=+=+- 23[tan tan()],(,)442y ar m πππθθθ∴=+-∈………6分(2)由(1)得2231tan [tan tan()]ar[m tan ]41tan y ar m πθθθθθ--=+-=+- 222[m (tan 1)m 1]tan 1ar θθ=-+++-…………9分(,),tan 1042ππθθ∈∴-> ∴22m (t a n 1)2t a n 1θθ-+≥-………12分当且仅当tan 1m θ=-时取等号,又2m +=,所以tan 3πθθ== 即A 点在O 东偏南3π的方向上,总造价最低。

上海市复兴高级中学2015-2016学年高一上学期期末考试物理试题

上海市复兴高级中学2015-2016学年高一上学期期末考试物理试题

高一年级物理试卷高一___ 班_____号姓名__________得分____________(本卷g取10m/s2)一.单选题I(每题2分,共16分)1. 下列各组物理量中,全部是矢量的有( )A.重力、速度、路程、时间B.弹力、速度、摩擦力、路程C.速度、质量、加速度、路程D.位移、弹力、加速度、速度2.有关质点的概念,所应用的物理方法是()A.控制变量法B.比值的方法C.建立物理模型的方法D.等效替代的方法3、下列四组单位中,哪一组中的各单位都是国际单位制中的基本单位()A.米(m)、千克(kg)、秒(s)B.米(m)、牛(N)、秒(s)C.千克(kg)、焦耳(J)、秒(s)D.米(m)、千克(kg)、牛(N)4.下列式子中属于比值法定义物理量的是()A.a=Fm B.g=Gm C.h=v22g D.a=∆v∆t5.物体仅受到大小分别为3N、4N、5N,方向不定的三个力作用。

该物体所受合力的最小值和最大值分别为()A.0、12N B.0、6N C.2N、12N D.2N、6N6.如图,一个质量为m的均匀光滑小球处于静止状态,三角劈与小球的接触点为P,小球重心为O,PO的连线与竖直方向的夹角为θ。

则三角劈对小球的弹力:()A.方向竖直向上,大小为mg B.方向竖直向上,大小为mgcosθC.方向沿PO向上,大小为mg/cosθP OθD.方向沿PO向上,大小为mgtanθ7. 作直线运动的甲、乙、丙三辆汽车以相同速度同时经过某一路标。

从此时开始甲车一直做匀速直线运动,乙车先加速后减速,丙车先减速后加速,它们经过下一个路标时速度都相同,则()A. 甲车先通过下一个路标B. 乙车先通过下一个路标C. 丙车先通过下一个路标D. 条件不足,无法判断、8.一个重为500N的人站在升降机内的磅秤上,在升降机运动过程中看到磅秤示数为450N,则升降机的运动情况是(重力加速度g=10m/s2)()A.向上加速,加速度大小为1m/s2 B.向上减速,加速度大小为1m/s2C.向下加速,加速度大小为109m/s2 D.向下减速,加速度大小为109m/s2F N F N F N F N BA F f F f F f F fG G G G(A ) (B ) (C ) (D )二.单选题II(每题3分,共24分)9.如图所示,质量m =0.5kg 的木块放在倾角θ=30︒的斜面上,受平行于斜面的二个拉力F 1和F 2作用处于静止状态,其中F 1=10N ,F 2=2N 。

上海市复兴高级中学高三上期中考试数学试卷 ( WORD版-有答案)

上海市复兴高级中学高三上期中考试数学试卷 ( WORD版-有答案)

复兴高中高三上期中数学试卷一. 填空题1. 设集合{}34,A x x x =-≤∈R ,{}|0B x x =≤,则A B =I 2. 不等式111x <-的解是 3. 函数2x y =(2)x ≥的反函数是 4. 方程sin cos x x =的解是5. 若等差数列{}n a 前9项的和为27,且108a =,则=d6. 函数()22sin sin 2f x x x =+的值域是 7. 若数列{}n a 满足112a =,212323n n a a a na n a ++++=L ,则2017a = 8. 已知22sin 2sin cos 4ααβ-+=,那么αβ+=9. 以下三个关于x 的方程:(1)22210x ax a a -+-+=; (2)240ax x a -+=; (3)10ax a ++=. 恰好其中两个方程有实数解,那么实数a 的取值范围是10. 已知函数3()f x x x =+,关于x 的不等式2(2)()0f mx f x ++-<在区间[1,5]上有解,则实数m 的取值范 围为11. 已知数列}{n a 、}{n b 的通项公式分别是3n n a =,43n b n =+,把数列}{n a 、}{n b 的公共项从小到大排列成 新数列}{n c ,那么数列}{n c 的第n 项是}{n b 中的第 项12. 函数()f x =+的定义域是[]0,a ,若对于定义域内的任意两个实数1x 、2x ,恒有12|()()|1f x f x -< 成立,那么实数a 的取值范围是二. 选择题13. 已知a 是实数,如果lim n n a →∞存在,那么( ) A. lim 0n n a →∞= B. lim 1n n a →∞< C. ||1a ≤ D. ||1a < 14. 在△ABC 中,sin A m =,sin B n =,其中,m n 是常数,满足0,1m n <<,那么sin C 的值( )A. 可能不存在B. 有且只有一个C. 至少一个D. 至少两个15. 已知数列{}n a 的通项公式是nn a b c =+,*n ∈N ,其中,b c ∈R ,那么{}n a 是等比数列的必要条件是( ) A. 0c = B. 0b ≠ C. 0bc = D. 0b c +≠16. 已知函数()2f x ax bx c =++,a b c >>,0a b c ++=,集合{}()0,A m f m m =<∈R ,则( )A. 任意m A ∈,都有(3)0f m +>B. 任意m A ∈,都有(3)0f m +<C. 存在m A ∈,使得(3)0f m +=D. 存在m A ∈,使得(3)0f m +<三. 解答题17. 已知集合{}24(1)1,A x x x x =-≥-∈R ,21log 2,1B x x x ⎧⎫=<∈⎨⎬-⎩⎭R ,又设全集U =R ,求U A B I ð.18. 已知斜率等于1的直线l 和椭圆2212x y +=交于B A 、两点,O 为坐标原点. (1)设点M 是线段AB 的中点,当直线l 经过椭圆的右焦点F 时,求直线OM 的斜率;(2)当()0OA AO AB ⋅-=u u u r u u u r u u u r 时,求直线l 的方程.19. 如图,△ABC 为一个等腰三角形形状的空地,腰CA 的长为3(百米),底AB 的长为4(百米),现决定在空 地内筑一条笔直的小路EF (宽度不计),将该空地分成一个四边形和一个三角形,设分成的四边形和三角形的 周长相等.(1)若小路一端E 为AC 的中点,求此时小路的长度;(2)求分成的四边形的面积的最小值.20. 对于定义在[0,)+∞上的函数()f x ,若函数()()y f x ax b =-+满足:① 在区间[0,)+∞上单调递减,② 存在常数p ,使其值域为(0,]p ,则称函数()g x ax b =+是函数()f x 的“渐近函数”.(1)判断函数()1g x x =+是不是函数223()1x x f x x ++=+,[0,)x ∈+∞的“渐近函数”,说明理由; (2)求证:函数()10012g x x =不是函数()0.52x f x =+的“渐近函数”; (3)若函数2()1f x x x =++,[0,)x ∈+∞,()g x ax =,求证:当且仅当2a =时,()g x 是()f x 的“渐近函数”.21. 设集合k A 是由数列{}n a 组成的集合,其中数列{}n a 同时满足以下三个条件:①数列{}n a 共有k 项,n a ∈R ; ②1230k a a a a ++++=L ; ③1231k a a a a ++++=L (1)若等比数列{}20n b A ∈,求等比数列{}n b 的首项、公比和项数;(2)若等差数列{}n c 是递增数列,并且{}2n k c A ∈,常数k ∈*N ,求该数列的通项公式;(3)若数列{}n m d A ∈,常数m ∈*N ,2m ≥,求证:3121112322m d d d d m m++++≤-L .参考答案一. 填空题1. []1,0-2. 1x <或2x >3. 2log ,4y x x =≥4. ,4x k k Z ππ=+∈ 5. 1 6. 1,1⎡⎣ 7. 122017 8. ,2k k Z ππ-∈ 9. [)()()2,00,12,-+∞U U10. 18m < 11. 21334n +- 12. 03a <<+二. 选择题13. C 14. C 15. D 16. A17.5[1]4U A B =I ,ð18.(1)12-;(2)y x =±19. (1)EF =; (220. (1)函数()g x 是()f x 的“渐近函数”;(2)函数()10012g x x =不是函数()2f x =+的“渐近函数”; (3)函数()g x 是()f x 的“渐近函数”21.(1)1120b =或1120b =-;(2)2221,1,2,,22n n k c n k k --==L ;(3)略。

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复兴高级中学2016届高三第一学期综合练习II. Grammar and VocabularySection ADirections: Read the following two passages. Fill in the blanks to make the passage coherent. For the blanks with a given word, fill in each blank with the proper form of the given word. For the other blanks, fill in each blank with one proper word. Make sure that your answers are grammatically correct.After 10 years in the spotlight, country-music star Carrie Underwood is still enjoying herself, still growing and still staying true to (1) she is. But these personal accomplishments are not easy, even when you're living a dream come true.Growing up in small-town Oklahoma, Underwood currently (2) (live) a life that is many miles removed from her childhood, literally and figuratively(象征性地).She grew up comfortably on a cattle farm, but her interest in performing was clear from the beginning as she sang in church and talent shows. Proving to be a more than competent singer, she was offered a record deal at 14, though it fell through.Underwood's proper music career began with her audition on the TV singing competition American Idol at age21 in 2005. After impressing the judges, Underwood competed in Hollywood. Show producer Simon Cowell madea prediction, "Not only (3) you win this show, you will sell more records than any other previous Idol winner. "Indeed, Underwood did win that year's competition and has managed to outsell even Idol winner Kelly Clarkson.After winning American Idol, Underwood debuted(首发)the album Some Hearts, (4) was a great success, now seven times platinum(白金).She has released four other albums, (5) (recently) Hits: Decade #1, (6) (imply) she's far from finished, though she's not interested in stepping on familiar ground. "1 don't want to make the same album over and over again ... Then I've gotta decide which version am I gonna be tonight.---country Carrie or Pon Carrie? I'd rather just make country music that anybody can get into(7) they listen to."(8) Underwood continues to grow her fan base (Australia and the U.K. have become significant followers), she knows her situation is rare. "... If I hadn't made my place in country music via American Idol, I probably could have tried to make (9) for the rest of my life and never made any progress," she says. Country singer Brad Paisley has also heard her (10) (express) that she feels she is a star for no reason, that others are annoyed about her smooth success. "I told her she was one of the greatest gifts we have been given in Nashville," says Paisley.KEYS1.Who;做宾语从句的表语2.is living; 表目前正在,live a life 同源宾语3.will; Not only倒装,后半句有will4.which; 非限制性定从,指前面整句话5.most recently; 最高级,且副词最高级前可不加the6.implying; 现在分词表主动7.no matter what; 引导宾从,且从句to缺成分,根据句意是无论什么,所以是no matter what8.Although; 后面两句是句子,可知填从属连词,且前后表转折,故填although.9.it; 可判断本空填代词,根据句意指前半句the place,故填代词it。

10.express;hear sb. do/doing 根据句意可知是一般时态动作,而非偶尔或正在,故填原形。

Section BDirections: Fill in each blank with a proper word chosen from the box. Each word can be used only once. Note that there is one word more than you need.In 1976, the (1) of a US Navy boat near Hawaii witnessed something truly amazing. As they pulled up the anchor from the sea floor some 200 meters below, they were (2) to see that a 4.5-meter shark had swallowed it and was being lifted onto their boat. The crew was fascinated by this wonderful creature, but no one had any idea what (3) the shark belonged to.Scientists have examined the shark and concluded that it was a completely new species. The shark was then given the name "mega-mouth"—a very suitable name, (4) its extremely large jaws.Since this discovery, only thirty-six more mega-mouth sharks have been (5) . This is one of the newest species of fish to be discovered, and many things about it are still a mystery.When we think of sharks, usually we think of predators like great whites. Great whites, at 3.7 meters in length, are the most feared animals in the sea, (6) on small whales, seals, other sharks and sometimes even people. They demonstrate incredible power and speed when hunting. However, not all sharks are dangerous. For example, sharks such as the mega-mouth live off plankton and other small fish, and will never attack humans. (7) , there are actually more than 360 species of shark, from the whale shark which can reach 14 meters in length, to a much smaller shark which (8) only 21 centimeters from head to tail.Despite their difference, all sharks do have some things in common. For example, sharks do not have bones, but have flexible cartilage (软骨) instead which makes them very good swimmers. (9) , unlike most fish, many species of shark batch their eggs inside their bodies, giving birth to (10) baby sharks. While scientists have learnt a lot in recent years, there are still many things about both sharks and the deep blue sea which we do not understand. Who knows? There may be many other species of marine life even stranger than the mega-mouth, still unknown and waiting to be discovered.KEYSD, B, ABD, AB, ABC, BD, AC, BC, A, AD1. 考察名词,夏威夷附近的海船船员,crew,全体人员2. 考察形容词,人们惊讶的看到4.5米长的鲨鱼吞下了锚astonished,吃惊的3. 考察名词,没有人知道这条鲨鱼属于什么品种species 品种4. 考察非谓语,考虑到它极大的嘴巴,given 考虑到5. 考察过去分词,被发现,sight 看到6. 考察现在分词,捕猎小型鲸鱼… prey 捕猎7. 考察副词,indeed 实际上8. 考察动词,小鲨鱼从头到尾只有21厘米,measure 测量,9. 考察连词,鲨鱼没有骨头…。

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