上海中学高二期中考(2015.11)

合集下载

上海市2015-2016学年高二历史下学期期中试题(等级)

2015学年度第二学期高二年级历史学科等级考期中考试卷（考试时间：60分钟满分：100分）一、选择题（共85分）以下每小题2分，共70分。

每题只有一个正确选项。

1．中国古代选官制度发展史上，魏晋南北朝时期的九品中正之法最终被隋唐开始的科举制所替代。

这种变化反映出A．小农经济取得重大突破B．官僚政治替代贵族政治C．儒学开始成为选拔标准D．社会阶层的流动性增强2．从刘邦“非刘氏而王者，天下共击之”到孙中山“敢有帝制自为者，天下共击之”的历史变迁，说明A．专制与民主构成传统社会主要矛盾 B．民主共和取代君主专制是世界潮流C．杰出人物对历史发展进程起决定作用 D．封建专制制度长期延续影响历史进程3．某朝官员王锷通过贿赂企图兼任宰相。

皇帝同意了王锷的请求，并下诏“锷可兼宰相”。

时任给事中的李藩行使职权，驳回诏书。

由此推断，给事中隶属于A．唐朝的门下省 B．宋朝的枢密院 C．明朝的内阁 D．清朝的军机处4．中国自古以来就是一个统一的多民族国家，追求国家统一、主权完整的国家利益一向是政治人物孜孜以求的历史作为，下列历史人物对国家统一和主权完整作出贡献的是A．①② B．①②③ C．①③④ D．①②③④5．1683年，康熙帝在《中秋日闻海上佳音》诗中写道：“海隅久念苍生困，耕凿从今九壤同”。

此诗所反映的历史事件应当是A．历时八年的三藩之乱终于平定 B．台湾与大陆重归统一C．清军击败沙俄军队收复雅克萨 D．清军平定噶尔丹叛乱6．从地方行政组织来看，有学者把古代中国划分为“部落时代”、“封建时代”、“郡县时代”这三个先后相继的时代。

其中与“封建时代”相对应的朝代是（）A．秦朝 B．西周 C．西汉 D．宋代7．元世祖忽必烈说：“中书省是朕的左手，枢密院是朕的右手，御史台是用来医朕两只手的”。

这说明元代A. 注重权力监督B. 实行三权分立C. 完善三省六部制D. 通过分权强化集权8．有史学家指出：“战国的一个重大变化是逐渐用郡县制替代了分封制。

上海市行知中学2014-2015学年高二上学期期中考试数学试题word版含答案

上海市行知中学2014—2015学年度第一学期期中考试高二年级数学试卷一、填空题：(本题共14小题，每小题4分，满分56分)1．若1225PP PP =-，设121PP PP λ=，则λ的值为。

2．已知{n a }是等比数列，则方程组124568a x a y a a x a y a +=⎧⎨+=⎩的解的个数是。

3．已知角α的顶点在原点，始边与x 轴的正半轴重合，终边经过点P(-3，则行列式sin tan 1cos ααα的值为。

4．等边△ABC 边长为1，则A BB C B CC A C AA B ++= 。

5．向量x y ⎛⎫⎪⎝⎭经矩阵0110⎛⎫⎪⎝⎭变换后得到矩阵23⎛⎫⎪⎝⎭，则x y -= 。

6．执行如图所示的程序框图，若输入P 的值是7，则输出S 的值是。

7．如果131lim 3(1)3n n n x a +→∞=++，那么a 的取值范围是。

8．用数学归纳法证明“(1)(2)...()213...(21)n n n n n n +++=-”，从“k 到1k +”左端需增乘的代数式为。

9．已知等差数列{n a }前n 项和为n S ，若10071008O B a O A a O C =+，且A ，B ，C 三点共线(不过原点)，则2014S = 。

10．已知a 与b 均为非零向量，给出下列命题：①22()()()a ba b =； ②2||()a a a =； ③若a c b c =，则a b =； ④()()a c b a c b =，上述命题中，真命题的个数是。

11．在等差数列{n a }中，113a =，前n 项和为n S ，且311S S =，则使得n S 最大的正整数n 为。

12．已知A ，B ，C ，D 四点的坐标分别为A(-1，0)，B(1，0)，C(0，1)，D(2，0)，P 是线段CD 上的任意一点，则AP BP 的最小值是。

13．记12111...nn a a a +++为数列{n a }的调和平均值，n S 为自然数列{n}的前n 项和，若n H 为数列{n S }的调和平均值，则limnx H n→∞= 。

上海中学2015-2016学年高二上学期期中考试数学试题(无答案)

上海中学高二上学期期中数学试卷2015.11一. 填空题（本大题共12题，每题3分，共36分）1。

在平面直角坐标系中,经过原点和点(1,3)-的直线的倾斜角α= ；2。

设(1,2)a =，(1,1)b =,c a kb =+,若b c ⊥，则实数k 的值等于；3。

直线(3)20m x my ++-=与直线650mx y -+=互相垂直，则实数m = ;4。

行列式42354112k ---中，第2行第1列元素的余子式的值为10，则实数k = ；5. 直线l 的一个方向向量(1,2)d =,则l 与直线20x y -+=的夹角为 ;(结果用反三角函数值表示）6。

增广矩阵3110m n -⎛⎫ ⎪⎝⎭的二元一次方程组的实数解为12x y =⎧⎨=⎩，则m n += ； 7。

过三点(1,3)A 、(4,2)B 、(1,7)C -的圆交y 轴于,M N 两点，则||MN = ；8。

规定矩阵3A A A A =⋅⋅,若31110101x ⎛⎫⎛⎫= ⎪ ⎪⎝⎭⎝⎭，则x 的值为； 9. 手表的表面在一平面上，整点1,2,...,12这12个数字等间隔地分布在半径为22的圆周上，从整点i 到整点1i +的向量记作1i i t t +，则1223233412112...t t t t t t t t t t t t ⋅+⋅++⋅= ；10. 设关于,x y 的不等式组21000x y x m y m -+>⎧⎪+<⎨⎪->⎩表示的平面区域内存在点00(,)P x y ，满足 0022x y -=，则实数m 的取值范围是 ;11。

平面向量,,a b e 满足||1e =，1a e ⋅=，2b e ⋅=，||2a b -=，则a b ⋅的最小值为；12。

在如图所示的平面中，点C 为半圆的直径AB延长线上的一点,2AB BC ==，过动点P 作半圆的切线PQ ,若2PC PQ =，则PAC ∆的面积的最大值为 ;二。

高二英语上学期期中卷上海市行知中学2014-2015学年高二上学期期中考试英语试题含答案

上海市行知中学2014-2015学年度第一学期期中考试高二年级英语试卷第I卷(共103分)I．Listening ComprehensionSection A Short ConversationsDirections：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．In a cotton field．B．On a bus．C．On a train．D．At a railway station．2．A．Paint the bookshelf．B．Fix the bookshelf.C．Write a letter．D．Search for a pen．3．A．It is 4：10．B．It is 4：20．C．It is 4：40．D．It is 5：00．4．A．The malt lost his keys．B．The door needed repairing．C．The man couldn’t open the door．D．The man didn’t want to enter the room．5．A．There won’t be an English test tomorrow．B．Tomorrow’s English test will be easy．C．The woman was confident about the test．D．The English test took place a week ago．6．A．He has always been so productive B．He got his job done within a minute．C．He finished the paper just in time D．He hasn’t finished his paper yet．7．A．Linda has heard from her family．B．The man wrote his family yesterday．C．The man asks Linda to write a letter again．D．Linda hasn’t received her parents’ reply.8．A．Mary won’t come．B．Mary will be late．C．Mary doesn’t want to come．D．Mary will come at 7：00．9．A．An invented story．B．A terrible dream．C．A real experience．D．An imaginary situation．10．A．He will continue his work on vacation．B．Papers piled while he was on vacation．C．He has too much work to do．D．He has made his vacation plans．Section B PassagesDirections：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 l3 are based on the following passage．11．A．7．B．9．C．10．D．14．12．A．He was badly injured. B．He rushed outside with his children．C．His wife was missing. D．His house was destroyed．13．A．A storm caused damage to two villages．B．An earthquake destroyed two villages．C．Villagers survived a terrible earthquake．D．Two families lost their houses in a storm．Questions l4 through l6 are based on the following passage．14．A．One who is very lazy．B．One who works very hard．C．One who has an unhappy existence．D．One who is competing for something．15．A．Everyone should be taken good care of．B．Everyone has a successful period in their lifetime．C．Everyone should endure a difficult period of life．D．Everyone enjoys a happy life equally．16．A．Dogs are well treated in the United States．B．“It rains cats and dogs” means “it rains hard”．C．“The dog days of summer’’ refer to the hottest days of the year．D．Old people like to learn new things and change the way to do things．Section C Longer ConversationsDirections：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 l7 through 20 are based on the following conversation．Complete the form．Write ONE WORD for each answer．II．Grammar and VocabularySection ADirections：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)It seems that people are gradually losing their smartness as smart phones become increasingly important assistants in their lives．As we rely too much on technology instead of our brains，many people 25 (lose)three basic abilities．The first skill 26 many people have lost is remembering phone numbers．Because phone numbers are stored in smart phone contacts, there’s now no need to dial a number or look at it again. This is fine until you need to call someone for help, only 27 (find) your phone is not around.And some people 28 also have lost their sense of direction because navigation apps can guide people anywhere they want．These apps can even find 29 (short) routes for you and avoid traffic jams．People get so dependent on them that when they can’t use their smart phones，they get lost and anxious．But the worst lost skills may be social ones，30 (mean) that some people are becoming socially inept(无能的)．People often bury themselves in their smart phones．As we’re too distracted by what’s happening in the virtual(虚拟的)world，some of us have lost conversational skills and sometimes can’t even tell whether a person is happy or not．In August, researchers at the University of California，Los Angeles，studied 5l students aged 11 and l2 who had over five hours’ screen time every day．Their task was to tell the emotions of 48 pictures of faces that were happy，sad，angry, or scared．The children made an average of l4.02 mistakes at the beginning．31 after a five-day camp without electronic devices，they made only 9.41 mistakes on average．Luckily，people still have a chance to get these abilities back．You should try to keep your parents’ numbers in mind for emergencies．You should also pay more attention to street signs and stores，32 will help you to draw a mind map and prevent you from getting lost．And the easiest solution to social skill loss is to take a break from electronic devices．(B)Late last year, US researchers at the Buck Institute of Age Research claimed that the future life span of human beings would be 500 years．But that idea 33 (challenge) at a recent medical conference in the UK．Speaking at the conference，British neurobiologist(神经生物学家)，Sir Colin Blakemore，claimed there is a limit on how long humans call live，and how much the body can age．34 500 years，120 years “might be a real absolute limit to human lifespan'’，he said．His estimate，35 (base) on current statistics and a look at medical effects，seems a little convincing．The number of people living past l00 in the world has soared by 71 percent in the past decade and Blakemore agreed that this figure would continue to rise．But people living for longerthan l20 years is “so rarely exceeded” 36 ，even with medical and technological advances, it is unlikely that we can achieve 37 we expect，he said．But 38 number is the ceiling for our life spans，120 or 500 years，it would take years for scientists to make that true for most people．We don’t have to complet ely rely on scientific breakthroughs to live a longer life，however．On Oct 21，the Gerontological Society of China published a report on centenarians(百岁老人)in China. There are 58，789 people above the age of l00 now in our country, with the oldest being 128 ye ars old. And by looking at these people’s lifestyles，39 society worked out a recipe for a long life：outdoor activities，more communication with others，and a healthy diet containing lots of fruit, vegetables，and low-fat food．So how long do you think you could live? If you play your part，your answer could be a satisfying 40.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．The city has always been an engine of intellectual life，from the l8th．century cafes of London, where citizens gathered to discuss chemistry and politics，to the Left Bank bars of modem Paris, where Picasso talked about modern art．Without these 41 ，we might not have had the great art of Shakespeare．And yet，city life isn’t easy．Now scientists have begun to examine how the city affects the brain, and the results are 42 ．Just being in an urban environment，they have found，impairs(损害)our basic mental processes．After spending a few minutes on a crowded city street，the brain is less able to hold things in memory, and suffers from reduced self-contr01．While it’s long been recognized that city life is exhausting，this new research suggests that cities actually 43 our thinking，sometimes dramatically so．One of the main forces at work is a complete lack of nature，which is surprisingly 44 for the brain．Studies have demonstrated，for instance，that hospital patients recover more quickly when they can see trees from their windows, and that women livingin public housing are 45 able to focus when their apartments overlook a lawn．Even these glimpses of nature improve brain performance，it seems，because they 46 a mental break from the urban life．This research arrives Just as humans cross all important milestone．For the first time in history, the majority of people live in cities．Instead of 47 wide-open spaces，we’re crowded into concrete jungles，surrounded by traffic and millions of Strangers．In recent years，it’s become clear that such unnatural surroundings have important implications for our mental and physical health, and call powerfully alter how we think．This research is also leading some scientists to dabble(涉足)in urban design，as they look for ways to make the city less 48 to the brain．The good news is that even slight alterations，such as planting more trees in the inner city or creating urban parks with a greater variety of plants，can 49 reduce the negative side effects of city life．The mind needs nature, and even a little bit can be a big 50．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．Why do people go to university? There is a popular notion that a college education is something to be endured in order to become 51 to obtain certain kinds of jobs or to go to graduate school．This is not what we are trying to do at Harvard，nor would we wish to have many students here who took such a(n) 52 view of a college career．There are several goals we aim to reach in our undergraduate program．The most obvious one is to give knowledge-fairly 53 knowledge in one field and a more general knowledge of a variety of other subject areas which you may choose according to your interest．But if acquiring knowledge is a self-evident part of a college education，it is 54 the most important．Remarkably few of the facts you learn here will remain in your 55 for many years，and some of those that do will even be proved 56 by new knowledge.57 ，we can instill(灌输)certain attitudes of mind—a willingness to accept uncertainty，and the lack of definite truths，independence of mind，and a respect for facts and tor the uncomfortable conclusions which facts sometimes lead to．In addition to these 58 qualities，a college education should try to lay a foundation tor the creative use of 59 time．Some of this capacity can be stimulated in the classroom-in courses in the humanities and the arts．Yet, at least as much 60 will occur outside the lecture hall-on athletic fields，in music rooms，student theaters，concert halls，and so forth．These are some of the 61 of a liberal college education as I see them．I cannot resist concluding with a few private thoughts about our new careers at Harvard．To begin with，I hope that we will think 62 about what we want to accomplish here．It would be 63 for you to set your sights on some limited goal，such as getting good grades or merely getting into one or another graduate school．Second, I hope that you will give some thought to what you can do for others during your stay here．There are many problems waiting for your help，and many people who could 64 your efforts．My final bit of advice．Whatever else we do，let us remember not to take ourselves too seriously．However great our problems may seem，however urgent our complaints，they are overshadowed by the 65 of countless other people on our planet．51．A. fascinated B. qualified C. determined D. required52．A. optimistic B. strong C. narrow D. sensitive53．A. concentrated B. expanded C. informed D. illustrated54．A. by far B. far from C. free from D. without doubt55．A. memory B. position C. evaluation D. foundation56．A. useful B. essential C. false D. common57．A. Besides B. However C. Therefore D. Somehow58．A. physical B. inborn C. emotional D. intellectual59．A. business B. study C. experiment D. leisure60．A. appreciation B. stimulation C. participation D. exposure61．A. threats B. aims C. problems D. souvenirs62．A. broadly B. honestly C. luckily D. continually63．A. fantastic B. magic C. tragic D. basic64．A. suffer from B. profit from C. reflect on D. complain about 65．A. inspiration B. difference C. ambitions D. difficultiesSection BDirections：Read the following three passages．Each passage is followed by several questions or unfinished statemems．For each of them there are four choices m址ed A，B，C and D．Choose the one that fits best according to the information given in the passage you have just read．(A)Pediatrician Avraham Kadar faced the challenge of explaining complex medical concepts to kids he was treating. In 1999，he found a solution，mad teachers have been harvesting the benefits ever since．Kadar created BrainPOP，an educational program consisting of brief animated videos in which a man named Tim and his robot friend Moby discuss various subjects．The videos fall into seven categories：engineering and technology，science，social studies，English，math，health，and arts and music．They cover over 500 topics，from historical figures to recent inventions，cultivating interest in the subjects through humor and illustrations．BrainPOP’s materials also include quizzes，activities，answers to questions and extra information about each topic．Almost 20 percent of American schools have embraced BrainPOP, and its popularity is growing worldwide．Its website，apps and products have won multiple awards from magazines，websites and other organizations．Kadar could not have developed BrainPOP without the help and support of his wife，Naomi．After graduating from college in the U．S．，Naomi taught English in Israel，where she married Avraham．After they returned to the U．S.，she focused her attention on teaching Yiddish，a language that she learned from her parents．Because of her background in educmion，she was helpful in developing BrainPOP．Afterward，she helped create BraillPOP ESL，a product designed to teach English as a second language to kids．After a difficult battle with cancer，Naomi passed away in 2010．In her memory，the Naomi Prawar Kadar Foundation was founded．Its primary mission is to promote Yiddish language learning．but it also trains teachers in other fields and supports medical research．66．What does Avraharn Kadar do as a doctor?A．He cares for the elderly．B．He operates a famous hospital．C．He treats childhood diseases．D．He develops heart medicine．67．According to this article，who are featured in BrainPOP’s videos? A．Elementary school instructors.B．Various kinds of lovely animals．C．Avraharn Kadar and his wife．D．A pair of cartoon characters．68．What do some ofthe BrainPOP materials do?A．They test students’knowledge．B．They offer good financial advice．C．They teach basic drawing skills．D．They evaluate people’s personalities．69．What happened to Naomi Prawar Kadar?A．Her personal project ended in failure．B．Her contributions were often ignored.C．She came down with a serious illness．D．She lost sight of her original purpose·(B)Joshua,Helmut, andBethlehemMichelle O. DonovanISBN 9781462058679Life is not easy fornine-year-old Joshua during World War II.Because of his family's Jewish background, they are sent to live in the concentration camps(集中营).Scared and alone, Joshua one day makes friends with a little mouse he calls Bethlehem who becomes his closest friend.More Things in HeavenBill BosworthISBN 9780595433582In his More Thingsin Heaven, Bill Bosworth presents the highlights of his 83 years of life, including his trips to India and the study of the writings of several great spiritual leaders.More things in Heaven will appeal to anyone who insists on finding the deepest meaning for their existence based on their own expenence.Encourage Me!Inspirational PoetryGloria CoykendallISBN 9781412027854 It is an easy to read collection of poems originally written to encourage in faith and to be a cure for chronic depression... cure to strengthen identity and purpose.Creation or EvolutionMichael EbifeghaISBN 9781450289023Were humans created，or did they evolve? How old is the Earth? The debate between science and religion continues to be heated. In Creation or Evolution, Michael Ebifegha examines these two opposed world views within the structure of empirical science.Seeking the EdgeDr. Joseph L. RoseISBN 9781462031795Seeking the Edge provides the tools and techniques to find that edge in one's life. - driving readers to success whether in your current job, finding a new job, in education, family, or even hobbies.70．Who wrote the story about a little boy and a little mouse?A. Bill Bosworth.B. Michelle O．Donovan．C. Dr．Joseph L．Rose. D．Gloria Coykendall．71．The ISBN for the book of poems is ．A. 9781462031795 B．9781412027854C. 9780595433582 D．978146205867972. What kind of readers will probably like reading More Things in Heaven?A．Those who are searching for the meaning of life．B．Those who are trying to be spiritual leaders．C．Those who study the art of writing．D．Those who like traveling abroad．73．Which of the following books explores the origin of humans?A．Seeking the Edge．B．Creation or Evolution．C．Joshua，Helmut, and Bethlehem．D．More Things in Heaven(C)Opinion polls are now beginning to show that，whoever is to blame and whatever happens from now on，high unemployment is probably here to stay．This means we shall have to find ways of sharing the available employment more widely．But we need to go further．We must ask some fundamental questions about the future work．Should we continue to treat employment as the norm? Should we not rather encourage many ways for self-respecting people to work? Should we not create conditions in which many of us can work for ourselves，rather than for an employer? Should we not aim to revive the household and the neighborhood, as well as the factory and the office，as centers of production and work?The industrial age has been the only period of human history in which most people’s work has taken the form of jobs．The industrial age may now be coming to an end，and some of the changes in work patterns which it brought may have to be reversed．This seems a frustrating thought．But, in fact，it could offer the prospect of a better future for work．Universal employment，as its history shows，has not meant economic freedom．Employment became widespread when the enclosures of the l7th and l8th centuries made many people dependent on paid work by depriving them of the use of the land，and thus of themeans to provide a living for themselves．Then the factory system destroyed the cottage industries and removed work from people’s homes．Later, as transport improved first by rail and then by road，people commuted longer distances to their places of employment until，eventually many people’s work lost all connection with their hom e lives and the places in which they live．Meanwhile，employment put women at a disadvantage．In preindustrial times，men and women had shared the productive work of the household and village community．Now it became customary for the husband to go out to paid employment，leaving the unpaid work of the home and families to his wife．Tax and benefit regulations still assume this norm today，and restrict more flexible sharing of work roles between the sexes．It was not only women whose work status suffered．As employment became the dominant form of work，young people and old people were excluded-a problem now, as more teenagers become frustrated at school and more retired people want to live active lives．All this may now have to change．The time has certainly come to switch some effort and resources away from the idealist goal creating jobs for all，to the urgent practical task of helping many people to manage without full-time jobs．74．What is the main idea of the passage?A．Employment became widespread in the l7th and l8th centuries．B．Unemployment will remain a major problem for industrialized nations．C．The industrial age may now be coming to an end．D．Some efforts and resources should be devoted to helping more people cope with the problem of unemployment．75．Which of the following was NOT mentioned as a factor contributing to the spread of employment?A．The enclosures of the l7th and l8th centuries．B．The development of factories．C．Relief from housework on the part of women．D．Development of modem means of transportation．76．It can be inferred from the passage that .A．most people who have been polled believe that the problem of unemployment may not besolved within a short period of timeB．many farmers lost their land when new railways and factories were being constructed C．in preindustrial societies housework and community service were mainly carried out by womenD．some of the changes in work pattern that the industrial age brought have been reversed 77．Which of the following is NOT suggested as a possible means to cope with the current situation?A．Create situations in which people work for themselves．B．Treat employment as the norm．C．Endeavor to revive the household and the neighborhood as centers of production．D．Encourage people to work in circumstances other than normal working conditions．Section CDirections：Read the passage carefully．Then answer the questions or complete the statements in the fewest possible words．Sarah Alexander celebrated the start of her last year at Wells College the way many other seniors before her have. She ran across the picturesque campus to the shores of Cayuga Lake，where she jumped into the water．So did many of her fellow seniors．But dozens of students decided to stay away, especially the relatively few newly arrived male students．Wells College，which since l868 had educated only women，began accepting men this year in hopes of strengtherring its dwindling enrollment．For many students and alumnae，it was a crushing decision．After the college announced last October that it would go coeducational, about half of the students protested and two filed a lawsuit，which they later dropped．The students-33 men and 383 women—came to campus late month．Both sexes are now trying to navigate the new social landscape．Mr．Phillips said “You can’t do guy stuff．Everv time you want to sit and watch sports or a game，it tulms into a movie．” The women were “somewhat nasty．” I could see the dirty looks in their eyes，” he said．“But I was not going to let that stop me from coming．’’Wells was a place where women didn’t have to worry about their appearance or fight to betaken seriously by their professors．They could enjoy the friendship of their campus sisters and playful traditions．Besides jumping into the lake，the women dance around the maypole each May and kiss the feet of the statue of Minerva，the Roman goddess of wisdom，before exams．Ms．Alexander said，“People told us we wouldn’t notice a difference，but from the moment men arrived on campus not could notice a difference．Women are waking up early to put on makeup，and that’s odd．” she said．Henry Wells，a founder of Wells Fargo and a friend of Cornell’s benefactor, Ezra Cornell established this college，when women were not considered capable of higher learning．“Give her the opportunity,” he wrote．The news that the college would go coed(coeducation)created influence far beyond campus．One alumna wrote a letter to the college’s president，Lisa Marsh Ryerson，saying the founder would make her feel uneasy．“I believe Henry Wells would have done it if I let Wells College close，’’ said Ms．Marsh Ryerson，a Wells alumna herself．The great-great-great-great granddaughter of Henry Wells，Stephanie Redmond，18，of Washingon State，said that earlier this year a Wells student had tracked her down and asked her to support the protest．But Mr．Redmond said the move to admit men had encouraged her to enroll at Wells this year as a freshman．She plans on a career in engineering，a male—dominated field，and said attending an all—women’s college might have put her at a disadvantage．(Note：Answer the questions or complete the statements in NO MORE THAN TEN WORDS．) 78．What is the primary reason for the Wells College to accept men?79．What is the typical behavior for seniors to do?80．The change after turning into a coed college is that .81．The attitude of the author to coeducation is being .第II卷(共47分)I．TranslationDirections：Translate the following sentences into English，using the words given in the brackets．82．生活本应多姿多彩，而非一成不变。

上海市行知中学2014-2015学年高二上学期期中考试物理试题word版含答案

上海市行知中学2014-2015学年高二上学期期中考试物理试题word版含答案上海市行知中学2014—2015学年第一学期期中考试高二年级物理试卷一、单选题(每题2分，共16分。

每小题只有一个是正确的，选对的得2分)1、下列现象中属于静电利用的是( )A、油罐车上连接地线B、复印机复印文件资料C、屋顶安装避雷针D、印染厂车间保持湿度2、煤、石油、天然气的共同特点是( )(A)都是可再生的能源(B)都是新能源(C)都是来自太阳辐射的能源(D)都是清洁能源3、关于电场线的说法，正确的是( )A、电场线的方向，就是电荷受力的方向B、正电荷只在电场力作用下一定沿电场线运动C、电场线越密的地方，同一电荷所受电场力越大D、静电场的电场线是闭合的4、从微观的角度来看，一杯水是由大量水分子组成的，下列说法中正确的( )(A)当这杯水静止时，水分子也处于静止状态(B)每个水分子都在运动，且速度大小相等(C)这些水分子的动能总和就是这杯水的内能(D)水的温度越高，水分子的平均动能越大5、将质量、温度均相等的一杯水和一个钢球作比较，下列说法正确的是( )A、它们的内能一定相等B、它们的分子平均动能一定相等C、它们的分子平均速率一定相等D、把钢球浸没在水中，它们的内能一定改变6、关于并联电路，下列说法中正确的是( )(A)总电阻阻值必大于每一只电阻阻值(B)并联的电阻越多，其总电阻阻值必越大(C)其中一只电阻的阻值增大时，总电阻阻值也增大(D)拿掉一只电阻时，总电阻阻值必减小7、关于带电体，下列说法正确的是( )(A)电荷量是反映物体所带电多少的物理量(B)物体所带的电量可以是任意值(C)摩擦起电实质是带电体得到多余的电荷(D)验电器可以精确测量带电体所带的电荷量8、如图所示为一点电荷周围的电场线，电场中有A、B、C三点，其中A、B两点距点电荷的距离相等，A、C两点在同一条电场线上．下列关于A、B、C三点电场强度的说法中正确的是( )(A)A、B两点的电场强度相等(B)A、C两点的电场强度方向相同(C)C点的电场强度方向从A点指向C点(D)C点的电场强度比A点的电场强度小二．单选题(每题3分，共24分。

上海市金山中学高二上学期期中考试物理(合格考试)试卷 Word版含答案.pdf

金山中学2015学年第一学期高二物理合格考试试卷考生注意：考试时间60分满分100分 1．本试卷g取10m/s2；e=1.6×10-19C； 2．本卷所有试题的答案填写在答题纸上； 3．计算题需要写出必要的步骤和单位，只写出结论的不得分。

一、填空题人类社会自从进入电气时代以来，就一直在不断地探寻电能的来源。

如今常见的发电方式有火力发电、水力发电、核电，其中将自然界的机械能转化为电能的方式是________（写序号即可）C的检验电荷置于电场中，它所受的电场力为10-2N，现把带有4×10-5C的检验电荷放在该点,它所受的电场力为__________N，把检验电荷移去,该点的电场强度为____________N/C。

3．质量相同，温度均为0℃冰和水，它们的平均动能分别为Ek1和Ek2，内能分别为E1和E2，则Ek1_____Ek2，E1_____E2。

5．大量的事实表明，自然界中的一切实际变化的过程都具有_________性。

朝某个方向的变化是可以自发发生的，而相反方向的变化却是受到限制的。

这时如果要使变化了的事物重新恢复到原来的状态，一定会对外产生无法消除的影响，这就是自然过程的不可逆性。

热传递、摩擦生热、气体自由膨胀等是物理学中所讨论的三类典型的单向性过程或不可逆过程，而且这些过程都与______现象密切相关。

6．两个小灯泡，它们10V、2W”和10V、2.5W”的字样，将它们串联起来接在电路中，为避免灯泡损坏，电路中的电流不能超过_______A，二个灯泡总不能超过_________。

8.如图所示，一个带正电的小球静止放在光滑绝缘斜面上，整个装置处于竖直方向的匀强电场中，则场强方向为（填“向上”或“向下”）。

若保持场强大小不变但将场强方向改为水平向左，发现小球能沿斜面运动但对斜面无压力，则斜面的倾角大小为。

二、单项选择题（每小题5分，共50分） 9．做功和热传递都能够改变物体的内能。

上海市高二数学下学期期中考试试卷含答案(共3套)

上海市高二下学期期中考试数学试卷一. 填空题1. 从甲地到乙地有2条路可走，从乙地到丙地有3条路可走，从甲地到丁地有4条路可走，从丁地到丙地有2条路可走，从甲地到丙地共有种不同的走法2. 3600有个正约数3. 有一组统计数据共10个，它们是2、4、4、5、5、6、7、8、9、x ，已知这组数据的平均数为6，则这组数据的方差为4. 在正方体1111ABCD A B C D -中，异面直线1A B 与11B D 所成角是5. 0到9这10个数字，可以组成个没有重复数字的三位数6. 在正方体1111ABCD A B C D -中，二面角1A BC D --的大小是7. 直线3445x t y t =+⎧⎨=-⎩（t 为参数）的斜率为 8. 从5个男生，4个女生中任意选两个，则至少有一个女生的概率是9. 如图，已知AB 是平面α的一条斜线，B 为斜足，AO α⊥，O 为垂足，BC 为α内的一条直线，60ABC ∠=︒，45OBC ∠=︒，则斜线AB 和平面α所成角是10. 若将五本不同的书全部分给三个同学，每人至少一本，则有种不同的分法11. 已知2624120126(243)(1)(1)(1)x x a a x a x a x ++=+++++⋅⋅⋅++，则0246a a a a +++=12. 已知从1n +个球（其中n 个白球，1个黑球）的口袋中取出m 个球（0m n <<，,m n ∈*N ），共有1m n C +种取法，在这1m n C +种取法中，可以分成两类：一类是取出的m 个球全部为白球，另一类是取出1个黑球和1m -个白球，共有01111m m n n C C C C -+种取法，即有等式01m n C C +1111m m n n C C C -+=成立，试根据上述思想，化简下列式子：1122m m m k m k n k n k n k n C C C C C C C ---+++⋅⋅⋅+= （1k m n ≤<≤，*,,k m n ∈N ）二. 选择题13. 若532m m P P =，则m 的值为（）A. 5B. 3C. 6D. 714.“直线l 垂直于平面α内的无数条直线”是“l α⊥”的（）A. 充分非必要条件B. 必要非充分条件C. 充要条件D. 既不充分也不必要条件15. 关于直角AOB 在定平面α内的射影有如下判断：①可能是的0°角；②可能是锐角；③可能是直角；④可能是钝角；⑤可能是180°的角；其中正确判断的序号是（）A. ②③⑤B. ①②③C. ①④⑤D. ①②③④⑤16. 一辆单向行驶的汽车，满载为25人，全程共设14个车站，途中每个车站均可上下乘客，由不同的起点到达不同的终点的乘客应购买不同的车票，在一次单程行驶中，车上最多卖出不同的车票的个数是（） A. 63 B. 65 C. 67 D. 69三. 解答题17. 三个女生和五个男生排成一排.（1）如果女生必须全排在一起，有多少种不同的排法；（2）如果女生必须全分开，有多少种不同的排法.18. 在长方体1111ABCD A B C D -中，2AB =，2BC =，14CC =，M 为棱1CC 的中点.（1）求证：BM ⊥平面11A B M ；（2）求异面直线BM 和1B A 所成的角的大小.19. 某办公室有5位教师，只有3台电脑供他们使用，教师是否使用电脑是相互独立的.（1）若上午某一时段A 、B 、C 三位教师需要使用电脑的概率分别是14、23、25，求这一时段A 、B 、C 三位教师中恰有2位教师使用电脑的概率；（2）若下午某一时段每位教师需要使用电脑的概率都是13，求这一时段办公室电脑数无法满足需求的概率.20. 已知在33()2n x x -的展开式中，第6项为常数项.（1）求n ；（2）求含2x 的项的系数；（3）求展开式中所有的有理项.21. 设四边形ABCD 为矩形，点P 为平面ABCD 外一点，且PA ⊥平面ABCD ，若1PA AB ==，2BC =.（1）求PC 与平面PAD 所成角的大小；（2）在BC 边上是否存在一点G ，使得点D 到平面PAG 的距离为2，若存在，求出BG 的值，若不存在，请说明理由；（3）若点E 是PD 的中点，在△PAB 内确定一点H ，使CH EH +的值最小，并求此时 HB 的值.参考答案一. 填空题1. 142. 453. 5.64. 3π5. 6486. 4π7. 54-8. 13189. 45° 10. 150 11. 61(31)2+ 12. m n k C + 二. 选择题13. A 14. B 15. D 16. C三. 解答题17.（1）4320；（2）14400.18.（1）证明略；（2）10arccos. 19.（1）13；（2）11243. 20.（1）10n =；（2）454；（3）2223101()2T C x =-，556101()2T C =-，8829101()2T C x -=-. 21.（1）5arctan ；（2）存在，1BG =；（3）延长CB 到C '，使得C B CB '=，连结C E '，过E 作EE AD '⊥于E '，∴22141104CH EH C H EH C E EE C E '''''+=+≥=+=+=，当且仅当C '、H 、E 三点共线时等号成立，∴min 41()2CH EH +=，过H 作HH AB '⊥于H '，连结HB ，∴在Rt △HH B '中，13HH '=，23H B '=，2222125()()33HB HH H B ''=+=+=.上海市高二第二学期期中数学试卷一、填空题：（本大题共14小题，每小题5分，共70分）1. 在正方体1111ABCD A B C D -中，异面直线1A B 与AD 所成角的大小为 .2. 已知向量()()23,2,3,4,2,a x b x x =+=-，若a b ⊥，则实数x 的值是 .3.球的表面积为216cm π，则球的体积为 .4.一条直线上的3个点A,B,C 到平面M 的距离为1，这条直线和平面的关系是 .5．正四面体侧面与底面所成二面角的余弦值为 .6.圆柱的轴截面是正方形，且面积为4，则圆柱的侧面积为 .7.如图是三角形ABC 的直观图，ABC ∆则平面图形是 .8.把地球看作半径为R 到额球，A 点位于北纬30，东经20，B 点位于北纬30，东经80，则A,B 两点的球面距离是 .9.下面命题：（1）n 条斜线段长相等，则它们在平面内的射影长也相等；（2）直线a,b 不在平面α内，它们在平面α内的射影是两条平行直线，则a//b ；（3）与同一平面所成角相等的两条直线平行；（4）一条直线与一个平面所成角为θ，那么它与平面内任何其它直线所成的角都不小于θ.其中正确的命题序号为 .10.由曲线222,2,2,2x y x y x x ==-==-围成的图形绕y 轴旋转一周所得旋转体的体积为1V ，满足()()2222224,11,11x y x y x y +≤+-≥++≥的点组成的图形绕y 轴旋转一周所得的旋转体的体积为2V ，试写出1V 与2V 的一个关系式 .11.如图，空间四边形OABC 中，,M N 分别是对边,OA BC 的中点，点G 在线段MN 上，分MN 所成的比为2，OG xOA yOB zOC =++,则,,x y z 的值分别为 .12.如图，1111ABCD A B C D -是棱长为1的正方体，任作平面α与对角线1AC 垂直，使得α与正方体的每个面都有公共点，这样得到的截面多边形的面积为S ，周长为l 的范围是为 .（用集合表示）二、选择题：13．已知,m n 是异面直线，m ⊂平面α，n ⊂平面β，l αβ=，则l 与A.与,m n 相交B.至少与,m n 中的一条相交C. 与,m n 都不相交D. 至多与,m n 中的一条相交14．已知某几何体的三视图如图所示，则该几何体的体积为A. 83πB. 3πC. 103πD. 6π15．连接球面上两点的线段称为球的弦.半径为4的球的两条弦AB ，CD 的长度分别等于27,43，M,N 分别为AB,CD 的中点，每条弦的两端都在球面上运动.下列四个命题：①弦AB,CD 可能相交于点M ；②弦AB,CD 可能相交于点N ；③MN 的最大值为5；④MN 的最小值为1.其中真命题的个数是A. 1个B. 2个C. 3个D. 4个16．四棱锥P ABCD -底面是正方形，侧面PAD 为等边三角形，且侧面PAD ⊥底面ABCD ，点M 在底面正方形ABCD 内运动，且满足MP MC =，则点M 在平面ABCD 内的轨迹一定是三、解答题：本大题共6小题，共90分.解答应写出必要的文字说明或推理、验算过程.17.（本题满分14分）三棱柱111ABC A B C -的底面是等腰直角三角形，190,2,22,BAC AB AC AA ∠====,E F 分别是1,BC AA 的中点，求：（1）FE 与底面所成角的大小；（2）异面直线FE 和1A B 所成角的大小.18.（本题满分14分）图1是某储蓄罐的平面展开图，其中90GCD EDC F ∠=∠=∠=，且,AD CD DE CG FG FE ====，若将五边形CDEFG 看成底面，AD 为高，则该储蓄罐是一个直五棱柱.（1）图2为面ABCD 的直观图，请以此为底面将该储蓄罐的直观图画完整；（2）已知该储蓄罐的容积为31250V cm =求制作该储蓄罐所需材料的总面积S ，（精确到整数位，材料厚度，按键及投币口的面积忽略不计）.19.（本题满分14分）如图，在正四棱柱1111ABCD A B C D -中，14,8AB AA ==（1）求异面直线1B C 与11A C 所成角的大小；（2）若E 是线段1DD 上（不含线段的两端点）的一个动点，请提出一个与三棱锥体积有关的数学问题（注：三棱锥需以点E 和已知四棱柱八个顶点中的三个为顶点构成），并解答所提出的问题.20.（本题满分16分）如图，在底面是菱形的四棱锥P ABCD -中，60,,2.ABC PA AC a PB PD a ∠=====点E 在PD 上，且:2:1PE ED =.（1）证明：PA ⊥平面ABCD ；（2）在棱PB 上是否存在一点F ，使得三棱锥F ABC -是正三棱锥？证明你的结论；（3）求以AC 为棱，EAC 与DAC 为面的二面角θ的大小.21.（本题满分16分）已知圆锥的侧面展开图是一个半圆..（1）求圆锥的母线与底面所成角的大小；（2）过底面中心1O且平行于母线AB的平面，若截面与圆锥侧面的交线是焦参数（焦点到准线的距离）为p的抛物线，求圆锥的全面积；（3）过底面点C作垂直于母线AB的截面，若截面与圆锥侧面的交线是长轴为2a的椭圆，求椭圆的面积（椭圆22221x ya b+=的面积公式为S abπ=）.高二下学期期中考试数学试卷一、填空题（40分）：1.若161615144m P =⨯⨯⨯⨯，则正整数m =_______________；2.已知一个正四面体的棱长为2，则它的高是_______________；3.某校共有师生1800人，现用分层抽样的方法，从所有师生中抽取一个容量为150的样本，已知从学生中抽取的人数为140，则该学校的教师人数是_______________；4.由0，1，2，3组成的没有重复数字的四位数有_______________个；5.某高中元旦晚会有一节目是现代舞，选了5位男生和4位女生参加，舞蹈老师在排练前，让他们男女间隔排列，则排列的方式有_______________种；6.已知正三角形ABC 的边长43，则到三个顶点的距离都为2的平面有_______________个；7.如图，已知正三棱柱111ABC A B C -的各条棱长都是2，M 是1BB 的中点，则异面直线1AC 与CM 所成角的大小是_______________；8.从0、1、2、6、8中任意选择3个不同数作为一元二次方程20ax bx c ++=的三个系数，则所得到的一元二次方程有实数根的概率是_______________；9.设集合{}1,2,3,,2020A =，选择A 的两个非空子集B 和C ，要使C 中最小的数大于B 中的最大数，则不同的选择方法有_______________；10.a ，b 为空间两条互相垂直的直线，直角三角形ABC 的直角边AC 所在直线与a ，b 都垂直，斜边AB 以AC 为旋转轴旋转，30ABC ∠=︒，有下列结论：①当直线AB 与a 成60°角时，AB 与b 成30°角；②当直线AB 与a 成60°角时，AB 与b 成45°角；⑤直线AB 与a 所成角的最大值为60°；④直线AB 与a 所成角的最大值为30°；其中正确的是_______________.（填写所有正确结论的编号）二、选择题（16分）11.已知一组数据6、7、8、x 、y 的平均数是7，则这组数据的中位数是（）A.6B.7C.8D.不确定12.已知两个不同的平面α、β，A 、B 、C 是三个不同线的三个点，且它们都在平面α内，则“A 、B 、C 到平面β距离相等”是“平面//α平面β”的（）条件A.充要B.充分非必要C.必要非充分D.非充分非必要 13.从集合{}1,2,3,4,,15中任意选择三个不同的数，使得这三个数组成等差数列，这样的等差数列有（）个A.98B.56C.84D.49 14.以长方体1111ABCD A B C D -的任意三个顶点为顶点作三角形，从中随机取出2个三角形，则这2个三角形不共面的情兄有（）种A.1480B.1468C.1516D.1492三、解答题（10+10+12+12=44分）15.在二项式()32nx -的展开式中.（1）若前3项的二项式系数和等于67，求二项式系数最大的项；（2）若第3项的二项式系数等于第18项的二项式系数，求奇次项系数和.16.2020年初，新型冠状病毒疫情牵动着全国人民的心，某市根据上级要求，在本市某人民医院要选出护理外科、心理治疗方面的专家4人与省专家组一起赶赴武汉参加救助工作，该医院完中现有3名护理专家1A ，2A ，3A ，5名外科专家1B ，2B ，3B ，4B ，5B ，2名心理治疗专家1C ，2C .（1）求1人中有1位外科专家，1位心理治疗师的概率；（2）求至少含有2位外科专家，且外科专家1B 和护理专家1A 不能同时被选的概率.17.如图所示的几何体ABCDEF 中，四边形ABCD 为菱形，//AF DE ，AF ⊥平面ABCD ，BAD α∠=.（1）求证：//BF 平面CDE ；（2）若60α=︒，求直线AE 与平面CDE 所成角的正弦值；（3）若90α=︒，P 是EAC △内的一点，求点P 到平面ABCD ，平面EDA ，平面EDC 的距离的平方和最小值.18.如图，已知正方体1111ABCD A B C D -内接于球O ，且球的半径为3，P ，Q 分别是BC ，1BC 上的动点.（1）求正方体1111ABCD A B C D -的棱长；（2）求1PQ QD +的最小值；（3）若平面1PAB 与平面11ADC B 所成二面角的大小为α，平面1PDC 与平面11ADC B 所成二面角的大小+的最小值，及此时P点的位置. 为β，试求αβ参考答案：1.13；2.3；3.120；4.18；5.2880；6.8；7.90°；8.1124； 9.2019100921⨯+；10.②④；11.B ；12.C ；13.A ；14.B ；。

上海市2015_2016学年高二物理下学期期中试题合格2017102802150

2015学年度第二学期高二年级期中考试卷物理合格考试（考试时间：60分钟满分：100分）一、单项选择题（每小题2分，共14分）1．如图,一个小球用两根轻绳挂于天花板上,球静止,绳1倾斜,绳2恰竖直。

则小球所受的作用力个数()2 A．一定是两个B．一定是三个1 C．不可能是二个D．可能是两个，也可能是三个2．下列叙述中符合物理学史实的有（）A．汤姆生通过对伦琴射线的的研究，发现了电子，提出了原子的核式结构学说。

B．贝克勒尔发现了天然放射现象，从而认识到原子是可分的。

C．卢瑟福在原子核人工转变的实验中发现了原子核中存在质子和中子。

D．居里夫妇发现了两种放射性很强的元素钋和镭3．如图所示，用一根细绳和一根轻直杆组成三角支架，绳的一端绕在手指上，杆的一端顶在掌心，当A处挂上重物时，绳与杆对手指和手掌均有作用，对这两个作用力的方向判断完全正确的是右图中的( )A. B. C. D.4．如图所示，下列情况下线圈中不能产生感应电流的是（）A．I增加a bIB．线圈向右平动- 1 -D．线圈以ab边为轴转动5．下列关于太阳系的说法正确的是（）A．太阳系处在银河系的中心B．太阳系中只存在太阳和它的八大行星C．大阳系是由太阳和若干行星以及它们的卫星和慧星组成D．太阳系的能量来源于太阳内部重核裂变所释放的核能6．关于物体的运动，下面说法中不可能的是（）A．加速度在减小，速度在增加B．加速度的方向始终变而速度不变C．加速度和速度大小都在变化，加速度最大时速度最小，速度最大时加速度最小D．加速度的方向不变而速度方向变化7．核反应堆是人工控制链式反应速度、并获得核能的装置。

它是由以下几个主要部件构成：（1）铀棒；（2）控制棒；（3）减速剂；（4）冷却剂。

关于控制棒的主要作用，下面说法正确的是（）A．使快中子减速，维持链式反应的进行B．吸收中子，控制链式反应的速度C．冷却降温，控制核反应堆的温度不要持续升高D．控制铀的体积不要超过临界体积二、单项选择题（每小题3分，共24分）8．潮汐现象主要是由于月球对地球的不同部分施加不同的万有引力而产生的。

上海市金山中学高二上学期期中考试语文试卷 Word版含答案.pdf

金山中学2015学年第一学期高二年级语文学科期中考试试卷（考试时间：120分钟　满分：100分　命题人：陈端端　审核人：李书慧）考生注意 1．本考试设试卷和答题纸两部分，试卷包括试题与答题要求，所有答题必须写在答题纸上，做在试卷上一律不得分。

2．答题纸与试卷在试题编号上是一一对应的，答题时应注意，不能错位。

一阅读（60分）（一）阅读下文，完成1-5题。

（13分） ①最近几年来，我在许多文章中和发言中，都宣扬一个观点：文化交流是推动人类社会前进的主要动力之一。

我是根据历史事实和现实情况有感而发的，没有丝毫主观成分。

②在这里，关键是一个“交”字，一边倒，向一边流，不能称之为“交流”。

古往今来，地球上不知道有多少国家，多少民族。

几乎每一个民族都有自己的文化创造。

文化不论大小，一旦出现就必然向外流布。

我认为，这可以算是文化的一个特点，全体人类都蒙受了这个特点之利。

如果没有文化交流，我们简直无法想象，今天的中国，今天的世界，文化会是一个什么样子，人民生活水平会是一个什么样子。

③在文化交流方面，中国是一个很有特色的国家。

从蒙昧的远古起，几乎是从一有文化起，中国文化中就有外来的成分。

中国古书上说：“有容乃大”。

中国人民是最“有容”的，我们肯于和善于吸收外来的好东西，不管是精神的，还是物质的，只要对我有利，我们就吸取。

海容百川，所以能成其为大。

我们能吸收各种文化，所以才能创造出这样光辉灿烂的文化。

鲁迅先生提倡“拿来主义”，正表示了这种精神。

④但是，中国不但能“拿来”，我们也能“送去”。

历史上我们不知道有多少伟大的发明创造送到外国去，送给世界人民。

从全世界范围内历史和现状来看，人类文明之所以能发展到今天这样辉煌的程度，中国人民与有力焉。

⑤可惜的是，西方国家自从产业革命以后，科学技术的发展日新月异。

世界上其余的国家都争先恐后地向西方学习。

即以中国而论，我们今天的“楼上楼下，电灯电话”，甚至衣着打扮，从头到脚，哪一件不是从西方来的？中国素以美食名扬全球；然而，就是在这方面，我们也受到了西方的影响。

上海市虹口区高二下学期期中教学质量监控测试数学试题含答案.doc

虹口区2015学年度第二学期期屮教学质量监控测试高二数学试卷（考试时间90分钟，本卷满分100分）2016.4 题号广10 1广15 16 17 18 19 20 总分得分阅卷人【注意本试卷中，第10、15题为分叉题，第19、20题的第（3）小题为分叉题，普通中学和重点中学分别选做相对应的题目.请答题者务必看清自己应答的试题.一. 填空题（本大题共10题，每小题3分，满分30分）1、过点（1, 1）且与直线2x-y + l = 0平行的直线方程为 ___________________x+ y<4^>0 3、若椭圆的两个焦点为百（一3, 0）、色（3, 0）,椭圆的弦AB 过点F x , R \ABF 2的周长等于20,该椭圆的标准方程为 __________________ •4、将\ABC 画在水平放置的平面上得到川EC'、如果 WC'是斜边等于血的等腰直角三角形，则\ABC 的面积等于 ______________ .5、在45。

的二面角的一个半平面内有一点P,它到另一个半平面的距离等于1,则点P 到二面角的棱的距离为 ___________ •6、 _________________________________________________________ 正方体的内切球与其外接球的表面积之比等于 __________________________________________ ・7、-个圆经过椭圆+ +牛1的三个顶点，且圆心在龙轴上，则该圆的方程为——8、若将一个45。

的直角三角板的一直角边放在一桌面上，另一直角边与桌面所成角为45。

，则此时该三角板的斜边与桌面所成的角等于 __________________ .9、用一个不平行于底而的平而截一个底而直径为6c 加的圆柱，得到如图儿何体，若截面椭圆的长轴长为10cm,这个几何体最短的母线长为6cm ,则此几何体的体积则口标函数R = 2x + 3y 的最大值为 ________2、实数兀、y 满足约束条件＜ x+2y<6 x>0为cm3•10、（普通中学做）对于曲线C 所在的平面上的定点P,若存在以点P 为顶点的角使得 QZAPB 对于曲线C 上的任意两个不同的点A 、B 恒成立，则称角G 为曲线C 的“P 点视角”，并称其中最小的“P 点视角”为曲线C 相对于点P 的“P 点确视角”.已知曲线C ： F +尸=2 ,相对于点P （2, 0）的“ P 点确视角”的大小是 ___________________________________________ .10、（重点中学做）对于曲线C 所在的平面上的定点P,若存在以点P 为顶点的角使得Q ZAPB 对于曲线C 上的任意两个不同的点A 、B 恒成立，则称角Q 为曲线C 的“P 点视角”，并称其屮最小的“P 点视角”为曲线C 相对于点P 的“P 点确视角”.已知曲线C ： x 2-^- = l （x>0）,相对于坐标原点O “O 点确视角”的大小是3二、选择题（本大题共有5小题，每小题4分，满分20分）2 2 】2、双曲线亍匕］的焦距等于13、设直线Q 与平面G 相交但不垂直，则下列说法中正确的是14. a 抛物线y = /的焦点F 作一直线交抛物线于M （x p y ）、”（兀2，儿）两点，如果）［+儿=1,则线段的中点到准线的距离等于1B 、一 211、若直线G 〃平面G,直线方在平面G 内, 则直线Q 与b 的位置关系为……（） A 、一定平行 B> 一定异面C 、一定相交D 、可能平行、可能异面 A 、2B 、4C 、3D 、6A 、在平面G 内没有直线与直线Q 垂直B 、在平面G 内有月•只有一条直线与直线a 垂直C 、在平面©内有无数条直线耳直线。

上海市行知中学高二上学期期中考试化学试题word版含答

上海市行知中学2014—2015学年度第一学期期中考试高二年级化学试卷本卷可能用到的原子量：Na-23, H—1, O-16, Al-27, Mg —24, Zn —65,S—32, Fe—56, Cl —35. 5, N —14, Cu—64, Ba—137一、选择题（每小题只有一个正确答案，每小题2分，共10分）1、某古玩爱好者收藏的“商代铝碗”在“鉴宝”时被专家当场否定，其理由是（）A.铝的导热性较强，不易做碗B.铝的质地较软，易变形，不易做碗C.铝元素易导致老年痴呆，不易盛放食物D.铝的性质较活泼，难提炼，商代不可能有铝制品2、把钠放入滴有酚酗:试液的水中，下列现象不会出现的是（）A.钠浮在水面上B.钠熔化成小球C.溶液中产生较多的气泡D.水溶液变成红色3、下列金属中，表面自然形成的氧化层能保护内层金属不被空气氧化的是（）A. KB. NaC. FeD. Al4、下列物质的制取原理错误的是（）A .金属钠的制取：2NaCl（熔融）一啜吧二2Na+C12T.. .. ........... .. 力口执B.金属镁的制取：MgO+CO----------- a Mg+CO 2....... .高温C.金属铭的制取：Cr2O3+2Al -------- ）2Cr+Al 2O3D.金属汞的制取：2HgO 一暨匚2Hg+O 2T5、将含等物质的量的氯化镂和碳酸氢钠混合溶液蒸干灼烧最终得到的固体是（）A.只有碳酸钠B.只有氯化钠C. 一定是氯化钠和碳酸钠的混合物D.碳酸俊二、选择题（每小题只有一个正确答案，每小题3分，共36分）6、将2.3克钠投入水中，要保证每100个水分子中溶有1个钠离子，加入的水的质量是（）A. 180 克B. 200. 8 克C. 230 克D. 181. 8 克7、过氧化钠与足量的NaHCO3混合后，在密闭容器中充分加热，排除气体物质后冷却，残留的是（）A. Na2CO3和W2O2 B,只有Na2CO3C. Na2CO3 和NaOHD. Na?。

上海市宝山区行知中学2014-2015学年高二上学期期中数学试卷

上海市宝山区行知中学2014-2015学年高二上学期期中数学试卷一、填空题：（本题共14小题，每小题4分，满分56分）1．（4分）若=﹣，设=λ，则λ的值为．2．（4分）已知{a n}是等比数列，则方程组的解的个数是．3．（4分）已知角α的顶点在原点，始边与x轴的正半轴重合，终边经过点P（﹣3，），则行列式的值为．4．（4分）等边△ABC边长为1，则=．5．（4分）向量经矩阵变换后得到矩阵，则x﹣y=．6．（4分）执行如图所示的程序框图，若输入p的值是7，则输出S的值是．7．（4分）如果=，那么a的取值范围是．8．（4分）用数学归纳法证明（n+1）（n+2）…（n+m）=2n•1•3•…•（2n﹣1），从k到k+1，左边需要增乘的代数式为．9．（4分）已知等差数列{a n}的前n项和为S n，若=a3+a2012，且A，B，C三点共线（该直线不过点O），则S2014=．10．（4分）已知与均为非零向量，给出下列命题：①（•）2=（）2•（）2；②||•=（）2；③若•=•，则；④（•）•=•（•），上述命题中，真命题的个数是．11．（4分）在等差数列{a n}中，a1=13，前n项和为S n，且S3=S11，则使得S n最大的正整数n为．12．（4分）已知A，B，C，D四点的坐标分别为A（﹣1，0），B（1，0），C（0，1），D（2，0），P是线段CD上的任意一点，则的最小值是．13．（4分）记为数列{a n}的调和平均值，S n为自然数列{n}的前n项和，若H n为数列{S n}的调和平均值，则=．14．（4分）给出30行30列的数表A：，其特点是每行每列都构成等差数列，记数表主对角线上的数1，10，21，34，…，1074按顺序构成数列{b n}，存在正整数s、t （1＜s＜t）使b1，b s，b t成等差数列，试写出一组（s，t）的值．二、选择题：（本题共4小题，每小题5分，满分20分）15．（5分）如果（1﹣2x）n存在，那么x的取值范围是（）A．0≤x＜1 B．0＜x＜1 C．0≤x≤1 D．0＜x≤116．（5分）已知、是夹角为60°的两个单位向量，则=2+和b=﹣3+2的夹角是（）A．30°B．60°C．120°D．150°17．（5分）过△ABC的重心任作一直线分别交AB，AC于点D、E．若，，xy≠0，则的值为（）A．4B．3C．2D．118．（5分）有一塔形几何体由若干个正方体构成，构成方式如图所示，上层正方体下底面的四个顶点是下层正方体上底面各边的中点．已知最底层正方体的棱长为2，且该塔形的表面积（含最底层正方体的底面面积）超过39，则该塔形中正方体的个数至少是（）A．4B．5C．6D．7三、解答题（本大题满分74分）本大题共有5题，解答下列各题必须写出必要的步骤，每题解题过程写在该题的答题框内，否则不计分．19．（12分）已知数列{a n}满足a1=1，且三阶行列式+2n，其中n∈N*，（1）求证：数列{}为等差数列；（2）求数列{a n}的通项．20．（14分）在一次人才招聘会上，有A、B两家公司分别开出它们的工资标准：A公司允诺第一年月工资为1500元，以后每年月工资比上一年月工资增加230元；B公司允诺第一年月工资为2000元，以后每年月工资在上一年的月工资基础上递增5%；设某人年初被A，B两家公司同时录取，试问：（1）若该人分别在A或B公司连续工作n年，则他在第n年的月工资收入分别是多少；（2）该人分别在A或B公司连续工作10年，仅从工资收入总量较多作为应聘的标准（不计其他因素），该人应该选择哪家公司，为什么？21．（14分）已知向量，向量与向量的夹角为，且．（1）求向量；（2）若向量与共线，向量，其中A、C为△ABC的内角，且A、B、C依次成等差数列，求的取值范围．22．（16分）已知非零向量列{}满足：=（x1，y1），=（x n，y n）=（x n﹣1﹣y n﹣1，x n+1+y n+1）（n≥2，n∈N*），（1）证明：数列{||}是等比数列；（2）向量与的夹角；（3）设=（1，2），将，，…，…中所有与共线的向量按原来的顺序排成一列，记作，，…，…，令=+++…+，O为坐标原点，求点B n的坐标．23．（18分）已知数列{a n}的前n项和为S n，且满足a1=a（a≠3），，设，n∈N*．（1）求证：数列{b n}是等比数列；（2）若a n+1≥a n，n∈N*，求实数a的最小值；（3）当a=4时，给出一个新数列{e n}，其中，设这个新数列的前n项和为C n，若C n可以写成t p（t，p∈N*且t＞1，p＞1）的形式，则称C n为“指数型和”．问{C n}中的项是否存在“指数型和”，若存在，求出所有“指数型和”；若不存在，请说明理由．上海市宝山区行知中学2014-2015学年高二上学期期中数学试卷参考答案与试题解析一、填空题：（本题共14小题，每小题4分，满分56分）1．（4分）若=﹣，设=λ，则λ的值为．考点：平行向量与共线向量；平面向量的基本定理及其意义．专题：平面向量及应用．分析：利用向量的三角形法则与向量相等即可得出．解答：解：∵=﹣，∴，化为，而=λ，∴．故答案为：．点评：本题考查了向量的三角形法则与向量相等，属于基础题．2．（4分）已知{a n}是等比数列，则方程组的解的个数是无数个．考点：等比数列的通项公式；函数的零点．专题：直线与圆．分析：由已知得直线a1x+a2y=a4与a5x+a6y=a8重合，从而方程组的解的个数是无数个．解答：解：∵{a n}是等比数列，∴，∴直线a1x+a2y=a4与a5x+a6y=a8重合，∴方程组的解的个数是无数个．故答案为：无数个．点评：本题考查方程组的解的个数的判断，是基础题，解题时要注意等比数列的性质的合理运用．3．（4分）已知角α的顶点在原点，始边与x轴的正半轴重合，终边经过点P（﹣3，），则行列式的值为．考点：任意角的三角函数的定义；二阶行列式的定义．专题：三角函数的求值．分析：利用任意角的三角函数的定义，求出sinα，cosα，tanα的值，然后化简行列式求解即可．解答：解：角α的顶点在原点，始边与x轴的正半轴重合，终边经过点P（﹣3，），∴OP==2．∴sinα=，cosα=，tanα=．=sinαcosα﹣tanα==．故答案为：．点评：本题考查任意角的三角函数的定义，行列式的定义的应用，基本知识的考查．4．（4分）等边△ABC边长为1，则=．考点：平面向量数量积的运算．专题：平面向量及应用．分析：根据数量积的计算公式进行计算即可．解答：解：如图，=cos120°+cos120°+cos120°=﹣．故答案为：．点评：考查向量数量积的计算公式，要注意向量的夹角不要弄错．5．（4分）向量经矩阵变换后得到矩阵，则x﹣y=1．考点：几种特殊的矩阵变换．专题：矩阵和变换．分析：由已知得==，由此能求出x﹣y=1．解答：解：∵向量经矩阵变换后得到矩阵，∴==，∴x=3，y=2，∴x﹣y=1．故答案为：1．点评：本题考查代数和的求法，是基础题，解题时要认真审题，注意几种特殊变换的合理运用．6．（4分）执行如图所示的程序框图，若输入p的值是7，则输出S的值是．考点：循环结构．专题：图表型．分析：分析程序中各变量、各语句的作用，再根据流程图所示的顺序，可知：该程序的作用是输出S=2﹣1+2﹣2+…+2﹣6的值．解答：解：分析程序中各变量、各语句的作用，再根据流程图所示的顺序，可知：该程序的作用是：输出S=2﹣1+2﹣2+…+2﹣6的值．而S=2﹣1+2﹣2+…+2﹣6==最后输出的值为．故答案为：．点评：根据流程图（或伪代码）写程序的运行结果，是算法这一模块最重要的题型，其处理方法是：：①分析流程图（或伪代码），从流程图（或伪代码）中即要分析出计算的类型，又要分析出参与计算的数据（如果参与运算的数据比较多，也可使用表格对数据进行分析管理）⇒②建立数学模型，根据第一步分析的结果，选择恰当的数学模型③解模．7．（4分）如果=，那么a的取值范围是（﹣4，2）．考点：数列的极限．专题：点列、递归数列与数学归纳法．分析：直接利用数列的极限的运算法则，化简已知条件即可推出a的范围．解答：解：=，可得=，可得，解得a∈（﹣4，2）．故答案为：（﹣4，2）．点评：本题考查数列的极限的应用，基本知识的考查．8．（4分）用数学归纳法证明（n+1）（n+2）…（n+m）=2n•1•3•…•（2n﹣1），从k到k+1，左边需要增乘的代数式为2（2k+1）．考点：数学归纳法．专题：计算题；点列、递归数列与数学归纳法．分析：分别求出n=k时左边的式子，n=k+1时左边的式子，用n=k+1时左边的式子，除以n=k时左边的式子，即得所求．解答：解：当n=k时，左边等于（k+1）（k+2）…（k+k）=（k+1）（k+2）…（2k），当n=k+1时，左边等于（k+2）（k+3）…（k+k）（2k+1）（2k+2），故从“k”到“k+1”的证明，左边需增添的代数式是=2（2k+1），故答案为2（2k+1）．点评：本题考查用数学归纳法证明等式，用n=k+1时的左边的式子除以n=k时的左边的式子，属于基础题．9．（4分）已知等差数列{a n}的前n项和为S n，若=a3+a2012，且A，B，C三点共线（该直线不过点O），则S2014=1007．考点：数列的求和．专题：等差数列与等比数列．分析：由于A，B，C三点共线（该直线不过点O），=a3+a2012，利用向量共线定理可得：a3+a2012=1，再利用等差数列的前n项和公式即可得出．解答：解：∵A，B，C三点共线（该直线不过点O），=a3+a2012，∴a3+a2012=1，∴S2014==1007．故答案为：1007．点评：本题考查了向量共线定理、差数列的前n项和公式，考查了推理能力与计算能力，属于中档题．10．（4分）已知与均为非零向量，给出下列命题：①（•）2=（）2•（）2；②||•=（）2；③若•=•，则；④（•）•=•（•），上述命题中，真命题的个数是0个．考点：命题的真假判断与应用．专题：平面向量及应用．分析：根据向量数量积的定义和运算法则，逐一分析四个结论的正误，综合讨论结果，可得答案．解答：解：①（•）2=（||•||cosθ）2=||2•||2•cos2θ=（）2•（）2•cos2θ，故①错误；②||•是一个向量，（）2是一个数量，故不可能相等，故②错误；③若•=•，则，在上的投影相同，但不一定有，故③错误；④（•）•表示一个与共线的向量，而•（•）表示一个与共线的向量，故④错误，故上述命题中，真命题的个数是0个，故答案为：0个点评：本题以命题的真假为载体考查了向量数量积的定义和运算法则，难度不大，属于基础题．11．（4分）在等差数列{a n}中，a1=13，前n项和为S n，且S3=S11，则使得S n最大的正整数n为7．考点：等差数列的性质．专题：等差数列与等比数列．分析：由等差数列的求和公式可得公差d，进而可得通项公式，可得数列{a n}的前7项均为正数，从第8项开始为负值，可得答案．解答：解：设等差数列{a n}的公差为d，∵a1=13，且S3=S11，∴3×13+d=11×13+d，解得d=﹣2，∴a n=13﹣2（n﹣1）=15﹣2n，令15﹣2n≤0可解得n≥，∴等差数列{a n}的前7项均为正数，从第8项开始为负值，∴使得S n最大的正整数n为7，故答案为：7点评：本题考查等差数列的性质，涉及等差数列的通项公式和求和公式，属基础题．12．（4分）已知A，B，C，D四点的坐标分别为A（﹣1，0），B（1，0），C（0，1），D（2，0），P是线段CD上的任意一点，则的最小值是．考点：平面向量数量积的运算．专题：计算题．分析：由题意可得：线段CD的方程为：x+2y﹣2=0，设点p（a，b），则b=1﹣a，并且a∈，结合题意可得：=（a+1，b），=（a﹣1，b），所以=，a∈，再由二次函数的性质可得答案．解答：解：因为C（0，1），D（2，0），所以线段CD的方程为：x+2y﹣2=0，设点p（a，b），则b=1﹣a，并且a∈，因为A（﹣1，0），B（1，0），所以=（a+1，b），=（a﹣1，b），所以=a2﹣1+b2==，a∈所以由二次函数的性质可得：当a=时由最小值．故答案为：．点评：本题主要考查向量的数量积运算，以及二次函数定区间上求最值问题，此题属于中档题．13．（4分）记为数列{a n}的调和平均值，S n为自然数列{n}的前n项和，若H n为数列{S n}的调和平均值，则=．考点：数列的极限；数列的求和．专题：点列、递归数列与数学归纳法．分析：求出S n为自然数列{n}的前n项和，利用已知条件求出H n的表达式，然后求解极限即可．解答：解：S n为自然数列{n}的前n项和，所以S n=，∵为数列{a n}的调和平均值，∴H n为数列{S n}的调和平均值，H n=====，∴==．故答案为：．点评：本题考查数列的求和，数列的极限的运算法则的应用，考查计算能力以及转化思想的应用．14．（4分）给出30行30列的数表A：，其特点是每行每列都构成等差数列，记数表主对角线上的数1，10，21，34，…，1074按顺序构成数列{b n}，存在正整数s、t （1＜s＜t）使b1，b s，b t成等差数列，试写出一组（s，t）的值（17，25）．考点：等差数列的通项公式；数列与函数的综合．专题：计算题；等差数列与等比数列．分析：由题意可得，b2﹣b1=9b3﹣b2=11…b n﹣b n﹣1=2n+5，利用叠加可求b n，然后由b1，b s，b t成等差数列可得2b s=b1+b t，代入通项后即可求解满足题意的t，s解答：解：由题意可得，b2﹣b1=9b3﹣b2=11…b n﹣b n﹣1=2n+5以上n﹣1个式子相加可得，b n﹣b1=9+11+…+2n+5=n2+6n﹣7∴b n=n2+6n﹣6∵b1，b s，b t成等差数列∴2b s=b1+b t∴2（s2+6s﹣6）=1+t2+6t﹣6整理可得，2（s+3）2=（t+3）2+16∵1＜s＜t≤30且s，t∈N*经检验当s=17，t=25时符合题意故答案为：（17，25）点评：本题主要考查了数列的通项公式的求解，要注意叠加法的应用，属于公式的灵活应用二、选择题：（本题共4小题，每小题5分，满分20分）15．（5分）如果（1﹣2x）n存在，那么x的取值范围是（）A．0≤x＜1 B．0＜x＜1 C．0≤x≤1 D．0＜x≤1考点：数列的极限．专题：点列、递归数列与数学归纳法．分析：根据极限的概念，及指数函数图象特点，很容易知道应该这样对x限制：﹣1＜2x+1≤1，解出即可．解答：解：（1）若0＜1﹣2x＜1，即0＜x＜时，根据对数函数y=a x，在0＜a＜1时，随着x的增大，函数图象无限接近0，所以对于（1﹣2x）n=0；（2）若1﹣2x=1，即x=0时，则（1﹣2x）n=1；（3）若1﹣2x=0，即x=时，则（1﹣2x）n=0；（4）若1﹣2x＞1，则根据对数函数y=a x，在a＞1时，随x的增大，函数图象向上无限延伸，函数值无限增大，所以，此时不存在极限；（5）若﹣1＜1﹣2x＜0，即＜x＜1时，若n无限增大趋向一个偶数，则（1﹣2x）n=0，n无限增大趋向一个奇数时，（1﹣2x）n=0；（6）若2x+1=﹣1，（2x+1）n是1和﹣1间隔出现的，所以不存在．（7）若2x+1＜﹣1，n趋于无穷大的偶数时，（2x+1）n趋于正无穷大，n趋于无穷大的奇数时，（2x+1）n趋于负无穷大，所以不存在极限．综上可得，x的取值范围是0≤x＜1．故选：A点评：本题极限的概念，和指数函数图象特点．考查分类讨论思想的应用．16．（5分）已知、是夹角为60°的两个单位向量，则=2+和b=﹣3+2的夹角是（）A．30°B．60°C．120°D．150°考点：数量积表示两个向量的夹角．专题：平面向量及应用．分析：由题意可得||=||=1，=．设=2+和b=﹣3+2的夹角为θ，0°≤θ≤180°，可得=﹣．再求得||和||，根据==﹣，可得θ的值．解答：解：由题意可得||=||=1，=1×1×cos60°=．设=2+和b=﹣3+2的夹角为θ，0°≤θ≤180°，可得=（2+）•（﹣3+2）=﹣6+2+=﹣．再由||===，||===，∴===﹣，∴θ=120°，故选C．点评：本题主要考查用两个向量的数量积表示两个向量的夹角，两个向量数量积的定义，属于中档题．17．（5分）过△ABC的重心任作一直线分别交AB，AC于点D、E．若，，xy≠0，则的值为（）A．4B．3C．2D．1考点：相等向量与相反向量．专题：计算题．分析：三角形的重心分中线的比为，取特殊位置的直线即可求得．解答：解：∵G是△ABC的重心∴取过G平行BC的直线DE∵，，∴x=，y=则的值为==3故选B．点评：本题主要考查了三角形的重心分中线的比值及特殊法解选择题，如果按常规方法就比较难处理，但是用特殊值的思想就比较容易处理，考查学生灵活处理问题的能力．18．（5分）有一塔形几何体由若干个正方体构成，构成方式如图所示，上层正方体下底面的四个顶点是下层正方体上底面各边的中点．已知最底层正方体的棱长为2，且该塔形的表面积（含最底层正方体的底面面积）超过39，则该塔形中正方体的个数至少是（）A．4B．5C．6D．7考点：组合几何体的面积、体积问题；等比数列的前n项和．专题：计算题；压轴题．分析：求出各个层的正方体的表面积，求出它们的和，该塔形的表面积（含最底层正方体的底面面积）超过39，求出正方体的个数至少个数．解答：解：底层正方体的表面积为24；第2层正方体的棱长，每个面的面积为；第3层正方体的棱长为，每个面的面积为；┉，第n层正方体的棱长为，每个面的面积为；若该塔形为n层，则它的表面积为24+4=40hslx3y3h因为该塔形的表面积超过39，所以该塔形中正方体的个数至少是6．故选C点评：本题是中档题，考查计算能力，数列求和的知识，正确就是解好数学问题的关键，常考题型．三、解答题（本大题满分74分）本大题共有5题，解答下列各题必须写出必要的步骤，每题解题过程写在该题的答题框内，否则不计分．19．（12分）已知数列{a n}满足a1=1，且三阶行列式+2n，其中n∈N*，（1）求证：数列{}为等差数列；（2）求数列{a n}的通项．考点：数列递推式；等差关系的确定．专题：等差数列与等比数列．分析：（1）根据行列式的定义进行化简，结合等差数列的定义即可证明数列{}为等差数列；（2）求根据数列{}为等差数列即可数列{a n}的通项．解答：解：（1）由行列式的定义可知na n+1﹣（n+1）a n=2n（n+1），则=2，即{}是以1为首项，2为公差的等差数列．（2）由（1）得=1+2（n﹣1）=2n﹣1，∴点评：本题主要考查考查行列式的计算依据等差数列的应用，难度不大．20．（14分）在一次人才招聘会上，有A、B两家公司分别开出它们的工资标准：A公司允诺第一年月工资为1500元，以后每年月工资比上一年月工资增加230元；B公司允诺第一年月工资为2000元，以后每年月工资在上一年的月工资基础上递增5%；设某人年初被A，B两家公司同时录取，试问：（1）若该人分别在A或B公司连续工作n年，则他在第n年的月工资收入分别是多少；（2）该人分别在A或B公司连续工作10年，仅从工资收入总量较多作为应聘的标准（不计其他因素），该人应该选择哪家公司，为什么？考点：数列的应用．专题：等差数列与等比数列．分析：（1）设该人在A或B公司连续工作n年，第n年的月收入分别为a n，b n，由已知条件能求出a n=230n+1270，b n=2000×1.05n﹣1．（2）设该人在A或B公司连续工作10年，工资总收入S，T，分别求出S，T，由此推导出选择A 公司．解答：解：（1）设该人在A或B公司连续工作n年，第n年的月收入分别为a n，b n，∵A公司允诺第一年月工资为1500元，以后每年月工资比上一年月工资增加230元，B公司允诺第一年月工资为2000元，以后每年月工资在上一年的月工资基础上递增5%，∴a n=230n+1270，b n=2000×1.05n﹣1．（2）设该人在A或B公司连续工作10年，工资总收入S，T，则S=（1500×10+）×12=304200，T=≈301869．∵S＞T，∴选择A公司．点评：本题考查数列在生产、生活中的应用，是中档题，解题时要认真审题，注意等差数列和等比数列的性质的合理运用．21．（14分）已知向量，向量与向量的夹角为，且．（1）求向量；（2）若向量与共线，向量，其中A、C为△ABC的内角，且A、B、C依次成等差数列，求的取值范围．考点：平面向量数量积的运算；两角和与差的正弦函数；余弦函数的定义域和值域．专题：三角函数的图像与性质；平面向量及应用．分析：（1）设设，由题意可建立关于xy的方程组，解之即可；（2）结合题意易得，，进而可得的坐标，可表示，结合三角函数的知识由A的范围逐步可得所求范围．解答：解：（1）设．由，得x+y=﹣1①又向量与向量的夹角为得=，即x2+y2=1②由①、②解得或，∴或．…（5分）（2）结合（1）由向量与共线知；由A、B、C依次成等差数列知．…（7分）∴，∴==．…（10分）∵，∴，∴，∴，∴．…（12分）点评：本题考查平面向量的数量积的运算，涉及正余弦函数的定义域和值域，属中档题．22．（16分）已知非零向量列{}满足：=（x1，y1），=（x n，y n）=（x n﹣1﹣y n﹣1，x n+1+y n+1）（n≥2，n∈N*），（1）证明：数列{||}是等比数列；（2）向量与的夹角；（3）设=（1，2），将，，…，…中所有与共线的向量按原来的顺序排成一列，记作，，…，…，令=+++…+，O为坐标原点，求点B n的坐标．考点：数列与向量的综合．专题：等差数列与等比数列．分析：（1）由已知得||=，||==||，从而=，由此能证明{||}是以||为首项，为公比的等比数列．（2）设与的夹角为θ，=x n x n﹣1+y n y n﹣1=，从而cosθ==，由此能求出向量与的夹角为．（3）由（2）知相邻两向量夹角为，每相隔3个向量的两向量必共线并方向相反，即，设，由（1）知=﹣（）4=﹣．由此能求出．解答：（1）证明：∵，∴||=，∵||=====||，∴=，∴{||}是以||为首项，为公比的等比数列．（2）解：设与的夹角为θ，∴=x n x n﹣1+y n y n﹣1=+==，∴cosθ==，∴θ=，即向量与的夹角为．（3）解：由（2）知相邻两向量夹角为，∴每相隔3个向量的两向量必共线并方向相反，即，设，由（1）知=﹣（）4=﹣．∴=（﹣）n﹣1=（﹣）n﹣1（1，2），∴=+++…+=．点评：本题考查数列{||}是等比数列的证明，考查向量与的夹角的求示，考查点B n的坐标的求法，解题时要认真审题，注意向量和数列知识的综合运用．23．（18分）已知数列{a n}的前n项和为S n，且满足a1=a（a≠3），，设，n∈N*．（1）求证：数列{b n}是等比数列；（2）若a n+1≥a n，n∈N*，求实数a的最小值；（3）当a=4时，给出一个新数列{e n}，其中，设这个新数列的前n项和为C n，若C n可以写成t p（t，p∈N*且t＞1，p＞1）的形式，则称C n为“指数型和”．问{C n}中的项是否存在“指数型和”，若存在，求出所有“指数型和”；若不存在，请说明理由．考点：等差数列与等比数列的综合；数列的求和．专题：综合题；新定义．分析：（1）依题意，可求得S n+1=2S n+3n，当a≠3时，=2，利用等比数列的定义即可证得数列{b n}是等比数列；（2）由（1）可得S n﹣3n=（a﹣3）×2n﹣1，a n=S n﹣S n﹣1，n≥2，n∈N*，从而可求得a n=，由a n+1≥a n，可求得a≥﹣9，从而可求得实数a的最小值；（3）由（1）当a=4时，b n=2n﹣1，当n≥2时，C n=3+2+4+…+2n=2n+1+1，C1=3，可证得对正整数n都有C n=2n+1，依题意由t p=2n+1，t p﹣1=2n，（t，p∈N*且t＞1，p＞1），t只能是不小于3的奇数．分①当p为偶数时与②当p为奇数讨论即可得到答案．解答：解：（1）a n+1=S n+3n⇒S n+1=2S n+3n，b n=S n﹣3n，n∈N*，当a≠3时，===2，所以{b n}为等比数列．b1=S1﹣3=a﹣3，b n=（a﹣3）×2n﹣1．（2）由（1）可得S n﹣3n=（a﹣3）×2n﹣1，a n=S n﹣S n﹣1，n≥2，n∈N*，∴a n=，∵a n+1≥a n，∴a≥﹣9，又a≠3，所以a的最小值为﹣9；（3）由（1）当a=4时，b n=2n﹣1，当n≥2时，C n=3+2+4+…+2n=2n+1+1，C1=3，所以对正整数n都有C n=2n+1．由t p=2n+1，t p﹣1=2n，（t，p∈N*且t＞1，p＞1），t只能是不小于3的奇数．①当p为偶数时，t p﹣1=（+1）（﹣1）=2n，因为t p+1和t p﹣1都是大于1的正整数，所以存在正整数g，h，使得t p+1=2g，﹣1=2h，2g﹣2h=2，2h（2g﹣h﹣1）=2，所以2h=2且2g﹣h﹣1=1⇒h=1，g=2，相应的n=3，即有C3=32，C3为“指数型和”；②当p为奇数时，t p﹣1=（t﹣1）（1+t+t2+…+t p﹣1），由于1+t+t2+…+t p﹣1是p个奇数之和，仍为奇数，又t﹣1为正偶数，所以（t﹣1）（1+t+t2+…+t p﹣1）=2n不成立，此时没有“指数型和”．点评：本题考查等差数列与等比数列的综合，考查数列求和，突出逻辑思维与创新思维、综合分析、运算能力的考查，属于难题．。

上海中学高二英语期中考试卷

上海中学2015学年第二学期高二年级期中考试英语试卷Book4 unit1-4 虚拟。

主谓一致（黄星烨。

高三一模卷）上海中学2015学年第二学期期中考试英语试题高二________班学号_________ 姓名 _________ 成绩 ____________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. At the airport. B. In a theatre. C. In a ticket office. D. At a hotel.2. A. $15. B. $5. C. $10. D. $25.3. A. Teacher and student. B. Doctor and patient.C. Manager and office worker.D. Travel agent and customer.4. A. 20: 25. B. 22: 25. C. 19: 25. D. 18: 25.5. A. Buy some new equipment. B. Leave the equipment for the woman.C. Watch what the woman is doing.D. Finish his work quickly.6. A. To return the book to the library. B. To telephone the library about the book.C. To borrow a book from the library.D. To go for a coffee in a café.7. A. The other one looked better. B. The man needs more wall space for it.C. It should be put on another wall.D. It makes the wall a little more attractive.8. A. Buy three good pairs. B. Buy three cheap pairs.C. Buy one good pair.D. Buy one cheap pair.9. A. The man should not drink beer. B. The man should drink beer without ice.C. The man should drink cold beer.D. The man should boil the beer.10. A. The woman should have attended class on Monday.B. The woman could turn to the history teacher for help.C. The man would tell her the assignment on Monday.D. The man didn't know the history assignment, either. 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. Give them away. B. Keep them in paper bags.C. Throw them away.D. Send them to companies.12. A. Read newspapers every day. B. Pay bills online.C. Send paper letters and cards.D. Delete junk mails.13. A. How to keep healthy. B. How to do research work.C. How to read online.D. How to protect the earth.Questions 14 through 16 are based on the following passage.14. A. Only a few days. B. Just one year.C. As long as a school likes.D. Several years.15. A. Arranging activities. B. Deciding on the program's length of time.C. Sponsoring holiday get-togethers.D. Negotiating extra courses.16. A. To encourage more foreign students to study in the U.S.B. To persuade American families to take more foreign students.C. To help the students to learn about American life.D. To introduce the “American Host Family” program.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.Complete the form. Write ONE WORD for each answer.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.17. ________ last night, I would have gone to see the movie with you.A. Had it not rainedB. If it didn’t rainC. Hadn’t it rainedD. Were it not to rain18. Officials met together to discuss such urgent cases ________ aroused their concerns about food safety.A. thatB. asC. whereD. which19. After ________ seemed a long time, he made a promise ________ we felt content with.A. it, thatB. what, whatC. what, /D. it, which20. I’d rather you ________ him the secret until you _______ allowed to.A. told; wereB. didn’t tell; areC. hadn’t told; will beD. don’t tell; are21. It doesn’t matter _______ will take over the company, as no one can save it from financial crisis.A. whoeverB. anyoneC. whoD. no matter who22. More than one car _______ reported _________ in the traffic accident.A. are, to have been damagedB. has been, to be damagedC. is, to have been damagedD. was, to have damaged23. It is the English teacher’s suggestion that every student _______ an English-Chinese dictionary.A. hasB. haveC. hadD. must have24. He is one of the most selfish man that _______ ever lived; that’s why hardly _______ making friends with him.A. has; anyone likesB. have; does anyone likeC. has; no one likesD. have; anyone likes25. It wasn’t until nearly three months later _______ I received any information from the admission office of the university.A. beforeB. thatC. whenD. since26. Hearing the news, he rushed out, _______ the book ________ on the table and disappeared into the distance.A. left; openB. leaving; lay openC. leaving; lying openD. left; lain open27. Janet as well as her classmates who _______ to study abroad ________ making great efforts to learn English well.A. wish, isB. wishes, areC. wishes, isD. wish, are28. If Fleming ________ the penicillin, there ________ far more deaths every year than there actually are.A. didn’t discover; would have beenB. hadn’t discovered; would have beenC. had discovered; wouldn’t have beenD. hadn’t discovered; would be29. One is likely to suffer from skin cancer when ________ to strong sunlight for a long time.A. being exposedB. exposingC. exposedD. having exposed30. With more forests being destroyed, huge quantities of good earth _______ each year.A. is washing awayB. is being washed awayC. are washing awayD. are being washed away31. It’s nearly six o’clock. I must start preparing dinner. The guests _______ be here at any moment.A. couldB. shouldC. mustD. would32. If it were not for the fact that she ________ ill, I would take her to the Disneyland.A. isB. wasC. wereD. had been33. ________ they are a special means of expressing human feelings, hand-drawn comics will not give way to computer-made comics ________ the human mind will give way to the computer.A. While; more thanB. Just as; unlessC. Since; as long asD. As; any more than34. This brand of dress costs double ________ the price was two years ago.A. as much asB. as many asC. whatD. than35. Mary was ________ with grief at her dog’s death that she couldn’t help crying for days.A. distractedB. buriedC. capturedD. overcome36. The Magi ________ Bethlehem to ________ baby Jesus and brought him presents.A. approached; call inB. headed for; call onC. drew towards; call atD. headed towards; call for37.What does he have going for him that girls _______ him the moment they lay eyes on him?A.take onB. take forC. take toD. take after38. The police had to _______ pepper spray and tear gas to _______ the mob and restore peace to the city.A.employ; break upB. integrate; tear apartC. deliver; tear downD. cast; break down39. Our new boss is a considerate man who shows ________ concern to those working for him.A. characteristicB. genuineC. casualD. expansive40. The word “paparazzi”refers to photographers who follow celebrities around in order to get interesting pictures of them which often ________ their not-that-glossy private life.A. discloseB. applaudC. conveyD. defineSection BDirections: Complete the following passage by using the words in the box. Each word can only beThis past National Day holiday saw upwards of half a billion Chinese citizens travelling. While some flew off to international destinations, the ___41___ majority enjoyed the many tourist sites that China has to offer. If you were one of those people who decided to explore China’s scenic spots, you probably realized that it isn’t just the mountain steps that are steep-the entrance fees are, too!The average cost of the highest ___42___ 5A attractions is 109 yuan. This could prove to be a little too steep for some families, who find themselves spending too large a portion of their holiday budget on admission tickets. The 32 5A locations that upped their prices in the past five years experienced an average ___43___ of over 40 percent. The bad news is that these prices are expected to continue to rise. So how does China’s situation compare t o other parts of the world? The average fees for cultural and historical sites seem to be on par with(与…同价) international ____44__ It’s quite another story, however, when you compare natural wonders. For example, the cost of a ticket to Zhangjiajie National Forest Park hovers around 245 yuan for a three-day tour. This seems ___45_ high when you consider that a week long pass to America’s Yellowstone National Park is a mere 74 yuan. here are ___46__ benefits to increased revenue(收益) from ticket sales, which support necessary ___47_ , maintenance and operation costs. This is especially important for sites that must keep visitor numbers down in order to protect the natural environment. However, it must also be ___48_ that many of China’s tourist attractions are operated by private companies who are ultimately protecting their bottomline(盈亏底线).While the government has put some ___49___ in place, such as only allowing entrance fees to be raised once every three years, they have not ___50___ the upper limit of ticket prices and increases. Further measures to settle the dispute are being considered. In the meantime, some families are forced to re-think if some attractions are really worth the costs.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.Now that we have briefly explored the history of the short story and heard from a few of its creators, let us consider the role of the reader. Readers are not empty vessels that wait, ___51____ raised, to receive a teacher’s or a critic’s interpretation. They bring their unique life experiences to the story. With these ___52_____, the best readers also bring their attention, their reading skills, and most importantly, their ____53____ to a reading of a story.My students always ____54____ me to discuss, analyze, interpret, and evaluate the stories we read without destroying the excitement of being beamed up into another world. For years I struggled with one response after the other to this challenge. Then one day I read an article by a botanist who had ____55____ the beauty of flowers by x-raying them. His illustrations showed the rose and the lily in their ___56_____ beauty, and his x-rays ___57_____ the wonders of their construction. I brought the article to class, where we discussed the benefits of examining the internal ____58____ of flowers, relationships, current events, and short stories.A short story, ___59____, is not a fossil to admire. Readers must ask questions, guess at the answers, ___60_____ what will happen next, then read to discover. They and the author form a partnership that brings the story to life. Awareness of this partnership keeps the original excitement alive through discussion, analysis, interpretation, and ____61_____. Literary explorations allow the reader to admire the authors’ ____62_____ as well as their artistry. In fact, original appreciation may be enhanced by this x-ray vision. The final step is to appreciate once again the story ___63_____----to put the pieces back together.Now it is your turn. Form a partnership with your author. During your adventure in reading, enter into a ___64_____ with the published scholars featured in Short Stories for Students. Through this dialogue with experts you will revise, enrich, or ___65____ your original observations and interpretations.During this adventure, I hope you will feel the same as the listeners that surround the neck of my Pueblo storyteller.51. A. hands B. sails C. flags D. lids52. A. considerations B. explorations C. associations D. interpretations53. A. imagination B. eagerness C. determination D. affection54. A. begged B. supported C. encouraged D. challenged55. A. extended B. explored C. expressed D. exploited56. A. external B. artificial C. classical D. traditional57. A. ensured B. analyzed C. revealed D. delivered58. A. organization B. pattern C. beauty D. structure59. A. however B. furthermore C. therefore D. besides60. A. interpret B. expect C. predict D. tell61. A. conclusion B. evaluation C. summary D. appreciation62. A. craftsmanship B. intentions C. depth D. character63. A. by itself B. per se C. in question D. as a whole64. A. journey B. process C. dialogue D. contact65. A. recall B. confirm C. identify D. cancelSection 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)October 17, 1989 is a day San Francisco will never forget. On that day, an uncommon number of tragedies took place. It was also a day when total strangers became linked. The story of Jim Betts and Julio Berumen is a moving example of one such meeting.On that day, Petra Berumen took her daughter Cathy to the dentist. Also in the car was her six-year-old son Julio and their family friend Yolanda. Soon after Petra drove onto the highway, disaster struck. Without warning, the earth began to shake.The damage was terrible. Hugh trees bent as if they were made of rubber. Streets cracked and buildings collapsed. At least a stretch of the highway had crashed onto the lower level.Then as quickly as it started, the earthquake stopped. The Berumens’s car had been crushed b y the steel. Petra and Yolanda were killed instantly. Cathy escaped unhurt but Julio, though still alive, was in danger. Not only was his right leg pinned down by the steel, he was also squeezed between the dead bodies of his mother and Yolanda.Rescuers had calmed Julio by the time Jim Betts, a doctor from Oakland Hospital, arrived. For two hours, Jim tried to free Julio with two bare hands. He did not stop to worry about the fact that aftershocks could send the highway to the ground. As soon as Julio was breathing, Jim kept working. However, Julio was languishing. Jim realized that he had only one choice. He would have to cut the boy’s right leg at the knee. Conditions were far from ideal. It was hot inside the car. Darkness had fallen outside.With great care, Jim started the operation. He had to try risky methods. Finally Julio was free.Those hours on the highway were like a nightmare. Jim said: “If my family members were up there badly hurt, they would urgently need he lp like that.” Though on the day the earthquake tore many things apart, it also brought brave people together.66. The San Francisco earthquake was an uncommon event for Julio and Jim because _________.A. the earth shook violently and suddenlyB. they became linked unexpectedlyC. they neither could see the broken highwayD. they both lost their family members67. In the fifth paragraph, Julio was languishing, which means that he was _________.A. about to dieB. complaining about the painC. losing his voiceD. crying68. According to the passage, Jim _________.A. successfully performed the operationB. had necessary equipment to rescue JulioC. was able to save Julio’s right legD. had one family member operated on69. Which of the following statements is TRUE according to the passage?A. The Berumens were trying to leave the dangerous city when the earthquake struck.B. Two people of the Berumen family finally survived from the earthquake.C. Jim managed to free Julio from the car without cutting his leg.D. The conditions were agreeable enough for Jim to perform the operation.(B)BiographyNicole Mary Kidman, AC (born 20 June 1967) is anAmerican-born Australian actress, fashion model, singer andhumanitarian. She is also known for her marriage to Tom Cruise, towhom she was married for 11 years and adopted two children, and hercurrent marriage to country musician Keith Urban, with whom she hastwo biological daughters.As a result of being born to Australian parents in Hawaii,Kidman has dual citizenship in Australia and the United States. Thefollowing is a list of movies that Kidman has been involved with.Dead Calm (1989)After starring in a number of small Australian films and TV shows,Kidman's breakthrough was in the 1989 thriller Dead Calm. It was based on the 1963 novel of the same name by Charles Williams. The film was directed by Australian filmmaker Phillip Noyce and filmed around the Great Barrier Reef.Day of Thunder (1990)Days of Thunder is a 1990 American auto racing film released by Paramount Pictures，bringing her worldwide recognition. The cast includes Tom Cruise, Nicole Kidman and Robert Duvall. This is the first of three films to star both Cruise and Kidman (the other two being Far and Away and Eyes Wide Shut).Batman Forever (1995)Batman Forever is a 1995 American superhero film directed by Tim Burton, based on the DC Comics character Batman. The plot focuses on Batman trying to stop Two-Face (Jones) and the Riddler (Carrey) in their villainous scheme to bring the city under their control. The film was released on June 16, 1995, receiving mixed reviews, but was a financial success.Moulin Rouge! (2001)Kidman’s performance in the musical Moulin Rouge!(2001) earned her a second Golden Globe Award and first Academy Award nomination for Best Actress. It tells the story of a young English poet/writer, Christian (Ewan McGregor), who falls in love with the terminally-ill star of the Moulin Rouge, cabaret actress and courtesan Satine (Nicole Kidman).The Hours (2002)Kidman's performance as Virginia Woolf in the drama film The Hours(2002) received critical acclaim and earned her an Academy Award for Best Actress and a Silver Bear for Best Actress. The plot focuses on three women of different generations whose lives are interconnected by the novel Mrs Dalloway by Virginia Woolf, who, in 1920s England, is struggling with depression and mental illness while trying to write her novel.Rabbit Hole (2010)The screenplay of Rabbit Hole is an adaptation by David Lindsay Abaire of his 2005 play of the same name. Kidman produced the project via her company, Blossom Films. The plot deals with a couple struggling to heal after the death of their young son. Kidman was critically admired for her performance as Becca Corbett and received Academy Award and Golden Globe Award.Wikipedia, the free encyclopediaJump to: navigation, search70. Which of the following statements about Nicole Kidman is true?A.Kidman has dual nationality because of being born to American parents in Australia.B.Kidman and Cruise gave birth to two children in their 11-year marriage.C.Kidman starred in TV shows before receiving recognition in motion picture industry.D.Far and Away was the first movie Kidman stared with her ex-husband.71. The underlined word “acclaim” has the similar meaning to ___________.A. criticismB. complimentC. complaintD. comment72. Where can we probably find the article?A. A reference siteB. A fashion magazineB. An auto-biography D. A national newspaper(C)The vast majority of fitness trackers count your steps and are worn around the wrist, but now there’s a device that’s designed to be worn like a necklace and monitors tiny movements to improve your posture.The Fineck device aims to address neck pain by tracking tiny movement, spotting bad habits and suggesting exercises via an accompanying app. Made from silicone(硅)and titanium(钛), Fineck monitors a wearer’s movement, balance and posture thanks to sensors inside. The Mountain View California-based firm says that a high percentage of people suffer from neck pain and associated problems, probably caused by more individuals doing office jobs, which generally involve leaning over computer keyboard.The device contains sensors, several different types of instruments to monitor movement, plus a monitor to shake. It connects to an iOS app via Bluetooth so that wearers can see their bad habits and play “neck training” games. The app warns of health risks and records a user’s activity to build up a customer personal health description. The necklace shakes to give smart advice, such as reminding wearers to sit up straight. The app also allows users to set goals, like many other wearables do. “Fineck is the first wearable device for your neck that tracks your neck activity and warn you when you are in a bad posture for too long. You can also exercise your neck with Fineck’s interactive games.” The company writes on Kickstarter. “No matter where you are and what you are doing at office, on the go, or simply just feeling bored, Fineck will bring you enriched exercise experience through motion sensing games and therapies.”It also claims that it is “the world’s first titanium wearable device”. The metal is widely used in fashion stuff that you can wear or carry to match your clothes because it is lightweight, durable and does not tend to cause allergic(过敏的)reactions. It also offers additional features such as shaking to indicate alerts on a user’s smartphone, but it is not currently clear whether it can also be used like bands, to count steps, and so on.The Fineck has a battery life of around seven days and takes one hour to charge. It is available to pre-order via Kickstarter from ＄69(￡44)and is due to ship in March next year.73. What helps the Fineck device to deal with neck pain?A. An accompanying app.B. A necklaceC. Computer keyboard.D. A remote control74. Besides allowing people to set goals, the iOS app also_____.A. improves your posture and suggests exercisesB. exercise your neck and does office jobsC. alerts you to health risk and records your activityD. counts your steps and addresses neck pain75. Which of the following statements is TRUE?A. The Fineck takes an hour to charge and is available at any time.B. Movie stars like to wear necklace made of silicone to match their clothes.C. The device counts the steps to help wearers to see their bad habits.D. Neck-ache is sometimes caused by using computers too much.76. We can infer from the passage that the Fineck device will_____.A. actually cause allergic reactions.B. enrich your life by providing “neck training” gamesC. monitor a wearer’s movement due to the material it is made ofD. help to correct your improper postures(D)World War II initiated the concept of "total war"--war that involved all, civilians and military alike, in the war effort. This was not really new. Lazare Camot had anticipated it during the French Revolution with his call for "a nation in arms". But never before World War II had nation been required to draw so heavily upon the total human resources available to them. In each country, there was a propaganda effort to portray every person in the state as personally involved in the struggle being waged. In the United States, "Rosie the Riveter" was as much a part of the picture as "G. I. Joe". The German "Rosies" were not as likely as their American counterparts to be working as riveters, butfrom 1942 on, they and their children were to face terrors of war as severe as those experienced by their front-line soldiers. Shivering from fear of being buried alive in the cellars that served as air-raid shelters, they had to emerge from those areas of modest security to extinguish the fire bombs that sizzled in the attics above before entire houses were incinerated. Each explosive bomb that fell could mean life or death for each person who heard it coming, depending on where it fell and how big it was.There is no rational way of rendering judgment on the moral aspects of the Allied bombing. It did, of course, kill Nazis and anti-Nazis alike; women and children as well as men; prisoners of war and foreign workers as well as Germans; professors, artists, musicians, and farmers, as well as workers in munitions factories. And the mode of death, as will be seen, was often shocking and gruesome. But it is faulty to assume that without the bombing all those who perished would have survived and would have met death more peacefully. Land invasion would have meant the ravaging of cities by heavy artillery, tanks, and flame throwers, the desperate flight of thousands of civilians (which indeed occurred on Germany's eastern front), and the ultimate collapse of all forces of order, with internecine fighting, famine, and disease as likely accompaniments. Neither can one assume that more churches, famous monuments, paintings, library books, and so forth would have survived. That those who dropped the bombs had pangs of guilt in respect to the suffering they caused and the cultural wealth they destroyed is a credit to their humanitarian sensitivities. But sentiments of revulsion are more appropriately directed at war itself, which inevitably brutalizes those involved, destroys normal sensitivities, and opens the way to rape, pillage, and want of destruction. A "clean", "humane" war is an impossibility.77. World War II is particular in that it _________.A. anticipated the arrival of new age in war-waging.B. victimized the ordinary people and soldiers alike on unprecedented scales.C. made the aggressors suffer more than the aggressed.D. used the propaganda to get the civilians into it without hesitation.78. It can be inferred from the first paragraph that "Rosie the Riveter" was ________.A. a picture used in the war propaganda.B. the name of an American hero during the war.C. a representative of women who were dragged into the war.D. a German-born worker who escaped to America during the war.79. The underlined word in Paragraph 2 most probably means _________.A. terrifyingB. challengingC. appealingD. distracting80. According to the author, without the Allied bombing, __________.A more lives might have been saved.B. people would have died of other disasters.C. the Allied landing would have been out of the questionD. many cultural objects would have survived. IV. Grammar: Fill in the blanks(A)Westminster Abbey, the gothic church, stands in the heart of modern London overlooking the River Thames and Houses of Parliament. It started as a small monastery(修道院), （1）_______ (found) in the year 960 by King Edgar, but soon became one of the most important churches in the kingdom.King Edgar was the first monarch（2）_______ (bury) there in 1065. In the mid 13th Century, King Henry III decided to rebuild it as a great gothic cathedral to rival（与. . . . . .相匹敌）（3）_______ in France.All monarchs have been crowned there（4）_______ William the Conqueror in 1066, and many monarchs have married in the Abbey, most recently Prince William and Catherine Middleton.But Westminster Abbey isn’t just about royalty. Many of the greatest people in British history are buried or commemorated there—artists, scientists, thinkers—there isn’t even a “poet’s corner” built up （5）_______ the grave of 14th-century poet Geoffrey Chaucer.Westminster Abbey tells the story of ordinary British people too. Parts of the Abbey (6) _______ (destroy) in booming raids（空袭）during World War II,（7）_______ services went on throughout the war. On May 8, 1945, the V-E(Victory in Europe)Day, a thanksgiving service was held there. Westminster Abbey stood for courage and British spirit.（8）_______ _______ you are not a Christian, it is impossible not to feel a sense of something otherworldly(超脱尘俗地) when you enter Westminster Abbey—and that goes for tourists, ordinary Londoners, or students getting ready for another Friday at school.(B)What do Leonardo da Vinci, Marie Curie, and Albert Einstein have in common? They were all left-handed, along with other famous people including Barack Obama. In fact, an estimated 13 percent of the world’s population (9)______ be left-handed.Most people are right-handed. This fact also seems to have held true (10)______ history. In 1977, scientists studied works of art made at various times starting with cave drawings from 15,000 B.C. and ending with paintings from the 1950s. Most of the people (11)______ (show) in these works of art are right-handed.Many researchers claim (12)______ (find) relationships between left-handedness and various physical and mental characteristics. However, some of these connections are very weak, and (13) _______ have not been proven. What makes a person become right-handed rather than left-handed? As yet, no one really knows for sure. (14)______ ______ ______ reasons may be behind it, people’s attitudes toward left-handedness have changed a lot over the years. There are even a number of shops (15)______ (specialize) in selling products for left-handed people, such as left-handed scissors, can openers, guitars, and even a left-handed camera. In 1976, Left-Handers International, a group of left-handed people in Topeka, Kansas, in the United States, decided to start (16)______ annual event in order to clear up misunderstandings about left-handedness.。

1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。

4
4. 行列式 3
2 5
k 4 中，第 2 行第 1 列元素的余子式的值为10 ，则实数 k

；
1 1 2
5. 直线 l 的一个方向向量 d (1, 2) ，则 l 与直线 x y 2 0 的夹角为三角函数值表示） 6. 增广矩阵；（结果用反
3 m 1 x 1 的二元一次方程组的实数解为，则 m n n 1 0 y 2
2
1 1 1 a 2 b2B.ຫໍສະໝຸດ 1 1 1 a 2 b2
C. a b 1
2
D. a b 1
2
2
16. ABC 中， AB 5 ， AC 7 ， ABC 的外接圆圆心为 O ，对于 AO BC 的值，下列选项正确的是（ A. 12 ） B. 10 C. 8 D. 不是定值
2 PQ ，则 PAC 的面
二. 选择题（本大题共 4 题，每题 4 分，共 16 分）资料整理
sh-maths
FunshineMaths 峰行数学
13. 关于 x, y 的二元一次方程组的（） B. 必要非充分条件 D. 既非充分也非必要条件
mx y 1 的系数行列式 D 0 是该方程组有解 3mx my 2m 3

三. 解答题（本大题共 5 题，共 8+8+10+10+12=48 分） 17. 已知点 A(1, 2) 、 B(5, 1) ，且 A, B 两点到直线 l 的距离都为 2 ，求直线 l 的方程；
18. 已知 | a |

2 ， | b | 1 ， a 与 b 的夹角为 45 ，求使向量 (2a b) 与 ( a 3b) 的夹
（1）若 P(3,1) 、Q 为直线 y 2 x 1 上的动点，求 P, Q 两点的“切比雪夫距离”的最小值；（2）定点 C ( x0 , y0 ) ，动点 P( x, y ) 满足 d (C , P) r (r 0) ，请求出 P 点所在的曲线所围成图形的面积；
21. 定义：圆心到直线的距离与圆的半径之比为直线关于圆的距离比；（1）设圆 C0 : x 2 y 2 1 ，求过 P(2, 0) 的直线关于圆 C0 的距离比 3 的直线方程；（2）若圆 C 与 y 轴相切于点 A(0,3) ，且直线 y x 关于圆 C 的距离比的方程；（3）是否存在点 P ，使过 P 的任意两条互相垂直的直线分别关于相应两圆 C1 : ( x 1) 2
x0 2 y0 2 ，则实数 m 的取值范围是； 11. 平面向量 a, b, e 满足 | e | 1 ， a e 1 ， b e 2 ， | a b | 2 ，则 a b 的最小值
为；
12. 在如图所示的平面中，点 C 为半圆的直径 AB 延长线上的一点， AB BC 2 ，过动点 P 作半圆的切线 PQ ，若 PC 积的最大值为；
上，从整点 i 到整点 i 1 的向量记作 ti ti 1 ，则 t1t2 t2 t3 t2t3 t3t4 ... t12t1 t1t2

2 的圆周 2
；
2 x y 1 0 10. 设关于 x, y 的不等式组 x m 0 表示的平面区域内存在点 P ( x0 , y0 ) ，满足 y m 0
A. 充分非必要条件 C. 充要条件
14. 如果命题“曲线 C 上的点的坐标都是方程 f ( x, y ) 0 的解”是正确的，则下列命题中正确的是（）
A. 曲线 C 是方程 f ( x, y ) 0 的曲线 B. 方程 f ( x, y ) 0 的每一组解对应的点都在曲线 C 上 C. 不满足方程 f ( x, y ) 0 的点 ( x, y ) 不在曲线 C 上 D. 方程 f ( x, y ) 0 是曲线 C 的方程 15. 若对任意的实数 x ，都有 a cos x b sin x 1 ，则（ A. ）
FunshineMaths 峰行数学
上海中学高二上学期期中数学试卷
2015.11 一. 填空题（本大题共 12 题，每题 3 分，共 36 分） 1. 在平面直角坐标系中，经过原点和点 (1, 3) 的直线的倾斜角 2. 设 a (1, 2) ， b (1,1) ， c a kb ，若 b c ，则实数 k 的值等于 3. 直线 (m 3) x my 2 0 与直线 mx 6 y 5 0 互相垂直，则实数 m ；；；
值范围；
20. 在平面直角坐标系中，设点 P 1 ( x1 , y1 ) 、 P 2 ( x2 , y2 ) ，称 d ( P 1, P 2 ) max{| x1 x2 |,| y1
y2 |} （其中 max{a, b} 表示 a 、 b 中的较大数）为 P ； 1、P 2 两点的“切比雪夫距离”
；；
7. 过三点 A(1,3) 、 B(4, 2) 、 C (1, 7) 的圆交 y 轴于 M , N 两点，则 | MN |
1 x 1 1 8. 规定矩阵 A A A A ，若，则 x 的值为 0 1 0 1
3
3
；
9. 手表的表面在一平面上，整点1, 2,...,12 这 12 个数字等间隔地分布在半径为
2 ，求此圆 C
y 2 1 与 C2 : ( x 3) 2 ( y 3) 2 4 的距离比始终相等？若存在，求出相应的 P 点坐标；若
不存在，请说明理由；
资料整理
sh-maths
角是锐角的实数的取值范围；
资料整理
sh-maths
FunshineMaths 峰行数学
7 x 5 y 23 0 x y 1 19. 已知 x, y 满足条件： x 7 y 11 0 求：（1） 4 x 3 y 的最小值；（2）的取 x 5 4 x y 10 0