复旦附中自招真题
复旦附中自主招生历史试题
89.“世界从何而来？”这一西方哲学的热门话题，由一中国圣贤作了简明扼要的回答：“无，名天地之始；有，名万物之母”；“天下万物生于有，有生于无”。
问：依据义判断，该圣人当是。
A.孔子B.孟子C.老子D.墨子90.《资治通鉴》卷必有如下一段文字：“十一月，沛公悉召诸县父老、豪杰，谓曰：”父老苦秦苛法久矣！吾与诸侯约，先人关者王之；吾当王关中。
”问：文中“沛公”当指以下哪个帝王？A.汉武帝B.汉高祖C.楚霸王D.楚怀王91.湖南岳麓书院有一对联，上联为“惟楚有材于斯为盛”；下联为“沅生芷草澧育兰花”，为冯友兰所书。
问：上联中所谓“惟楚有材”，是因为。
A.古时湖南为楚地B.芷兰盛产于楚地C.岳麓书院多人才D.冯氏出生在楚地92.在儒家思想逐渐成为中华民族传统精神主干的过程中，有三位思想家的作用举世公认：孔子、董仲舒、朱熹。
董仲舒提出：“罢黜百家，独尊儒术”，使孔子创立的儒学从诸子百家中跃居独尊地位。
问：董仲舒提出上述主张，中国出于时期。
A.西周B.东周C.西汉D.东汉93.“单于最初为中国古代北方游牧民族首领的称号，唐朝诗人卢纶亦作有《塞下曲》，提及“单于”：“月黑雁飞高，单于夜遁逃。
欲将轻骑逐，大雪满弓刀。
”问：诗中的“单于”当指民族的首领。
A.匈奴B.女真C.突厥D.回纥94.美籍华裔史学家黄仁宇在《中国大历史》中写道：“北宋之东北是××所成立的朝代――辽，××属蒙古语系，他们活跃于中国东北地区已逾300年，即使仿效中国朝代所成立的辽，也比宋早出现53年。
”A.回纥B.吐蕃C.契丹D.女真95.江苏无锡东林书院遗址(今东林小学)内有一楹联：“风声雨声读书声，声声入耳；家事国事天下事，事事关心。
”某史籍曾对当年东林书院情景作如是评论：“讲习之余，往往讽议朝政，裁量人物。
朝士慕其风者，多遥相应和。
”问：该点评当年东林书院情景的史籍当为。
A.《唐史》B.《宋史》C.《元史》D.《明史》96.在中国与某西方列强签署的不平等条约中，有下列条款：“合众国贸易船只进中国港口湾泊，仍旧各领事等官督同船主人等经管，中国无从统辖。
上海复旦附中自主招生英语试题(3)含答案
上海复旦附中自主招生英语试题(3)1.A.increasinglyB.loweringmonD.solutionsE.individuallyF. callingG.dependent H.shortcomings I.consumption J.introduced K.sensesA United Nations panel on climate change says global warming is causing extreme weather all over the world and is__41__on governments to come up with new ideas to curb gas emissions. Since much of the air pollution comes from coal-fired power plants,scientists in Denmark are trying to lower their nation’s energy needs with new types of smart streetlights.Our__42__industrialized world needs huge amounts of electrical energy,but our power plants still rely mostly on technology__43__as early as the19th century—coal—powered plants, hydroelectric dams or somewhat never nuclear energy,all of which have their own__44__.But scientists say we can slow down global warming by__45__energy demands for street lights.These__46__features of the world’s urban areas require a lot of electricity.The U.S.Energy Information Administration estimates that in2012,lighting for buildings, streets and highways in the ed about274billion kilowatt hours.In a bid to make Copenhagen the world’s first carbon-neutral city by2025,scientists in the Danish capital are testing a variety of new street lighting technologies.Kim Brostrom is the chief technical officer at the Danish Outdoor Lighting Lab.“We have installed nine kilometers of streets,we have280masts placed here,we have50 different__47__,we have10different management systems,and we have a lot of different sensors and things out in the open area,”said Brostrom.Chief science officer Jakob Andersen says the lights can be managed__48__from a tablet computer or a smart phone.The main goal is to lower energy__49__when the light is not needed.So the lamp brightens up only when it__50__an approaching pedestrian,cyclist or vehicle.Some of them even have a backup wind generator or a solar cell.2.Diet Coke,diet Pepsi,diet pills,on-fat diet,vegetable diet…We are__51__by the word “diet”everywhere we look and listen.We have so easily been attracted by the promise and__52__ of diet products that we have stopped thinking about what diet products are doing to us.We are paying for products that__53__us psychologically and physically(身体上).Diet products significantly weaken us psychologically.On one level,we are not allowing our brain to__54__that our weight problems lie not in actually losing the weight,but in controlling the__55__of fatty,high-calorie,unhealthy foods.Diet products allow us to jump over the thinking stage and go straight for the scale(秤)instead.All we have to do is to swallow or__56__ the word“diet”in food labels.On another level,diet products have greater psychological effects.Every time we have azero-calorie drink,we are telling ourselves without our__57__that we don’t have to work to get results.Diet products make people believe that gain comes without pain,and that life can be without resistance a(n)__58__.The danger of diet products lies not only in the psychological effects they have on us,but also in the physical harm that they cause.Diet foods can__59__harm our bodies because consuming them instead of healthy foods means we are preventing our bodies from having__60__ nutrients(营养成分).Diet foods and diet pills__61__zero calorie only because the diet industry has created chemicals to produce these wonder products.Diet products may not be__62__,and the chemical that go into diet products are potentially dangerous.Now that we are aware of the effects that diet products have on us,it is time to__63__think about buying them.Losing weight lies in the power of minds,not in the power of chemicals. __64__we realize this,we will be much better able to resist diet products,and__65__prevent the psychological harm that comes from using them.51. A.confused B.surrounded C.mixed D.fascinated52. A.potential B.affection C.obligation D.calculation53. A.weaken B.harm C.enforce D.inspire54. A.admire B.argue C.deny D.admit55. A.assumption B.digestion C.dissolution D.consumption56. A.recognize B.foresee C.overlook D.research57. A.frustration B.ignorance C.awareness D.emphasis58. A.maintenance B.efficiency C.struggle D.setback59. A.indirectly B.inevitably C.incredibly D.innocently60. A.extra B.basic anic D.delicate61. A.contain B.persist C.exclude D.melt62. A.nutritional B.poisonous C.ridiculous D.sensitive63. A.strongly B.enthusiastically C.eagerly D.seriously64. A.Unless B.While C.Though D.Once65. A.therefore B.otherwise C.meanwhile D.furthermore 3.It was a bitter cold evening in northern Virginia many years ago.The old man’s beard was glazed by winter’s frost while he waited for a ride across the river.The wait seemed endless.His body became numb and stiff from the frigid north wind.It was long before he heard the faint,steady rhythm of hooves(马蹄)along the frozen path. Anxiously watching several horsemen coming up,he let the first one pass by without any effort to get his attention,then another passed by,and another.Finally,the last rider drew near where the old man sat like a snow statue when old man caught his eyes and said,“Sir,would you mind giving an old man a ride to the other side?”Stopping his horse,the rider replied,“Sure!Jump aboard.”Seeing the old man unable to lift his half-frozen body from the ground,the horseman got down to help him.The horseman took him not just across the river,but to his destination just a few miles away.As they approached the tiny but cozy cottage,the horseman’s curiosity caused him to inquire,“Sir,I noticed you let several other riders pass by without making an effort to secure a ride.Then I came up and you immediately asked me for a ride.I am curious why,on such a bitter night,you would wait and ask the last rider.What if I had refused and left you here?”The old man looked the rider straight in the eyes and replied,“I reckon I know people pretty good.I looked into the eyes of the other riders and immediately found no concern for my situation. It would have been useless even to ask them for a ride.But when I looked into your eyes,your gentle spirit would welcome the opportunity to give me assistance in my time of need.”Those heart-warming comments touched the horseman deeply.“I’m so grateful for what you have said,”he told the old man.“May I never get too busy in my own affairs that I fail to respond to the needs of others with kindness and compassion.”With that,Thomas Jefferson turned his horse around and made his way back to the White House.66.Why didn’t the old man ask the previous riders for a ride?A.Because he was waiting for the last rider.B.Because his efforts failed to get their attention.C.Because he assumed they had no concern for him.D.Because he was too numb to lift his half-frozen body.67.What caused the last rider to stop and help the old man?A.The old man’s poor situation.B.The old man’s warm comments.C.His own affairs.D.Kindness and sympathy.68.What do you know about the old man?A.He judged people by looking into their eyes.B.He lived in a cozy cottage a few miles away.C.He gave the last rider an opportunity to help.D.He recognized the president at first.69.Which can be the best title of this text?A.Look into your eyes.passion of a great man.C.The last rider to help.D.Return to the White House.4.International Book ClubHave you ever thought of joining a book club and buying new books through the post?Here at the International Book Club,we already have many members buying books from us by mail. Immediate benefits：●As a special offer,you may choose any reduced price books from our new members’book list,to the value of$6in total(plus postage and packing).By doing this,you will save pounds on the publishers’prices.●Tick the box on your form to order a free watch.●If you reply within seven days,we will send you another free gift carefully chosen from ourbook list by our staff.●Order a DVD from the many on offer in our list,at half the recommended retail price.When you’ve joined：As a member,you’ll enjoy savings of between30%and50%off the publisher’s price onevery book you buy,and what’s more,they’ll come straight to your door.Your free club magazine arrives once a month,to keep you up to date with the latest bestsellers.This means that every year we offer over1,000books to choose from.On the Internet,you can find all our titles for the year on our exclusive members’website.Being a member：All we are asking you to do while you are a member is to choose four books during your first year.After that,you can decide on the number of books you wish to take.In each of our monthly club magazines,our experienced staff choose a Club Choice book—a work of fiction or a reference title which they feel is particularly worth buying,and which is offered at an extra special price.However,if you do not want this book,just say so in the space provided on the form.We will always send the book if we do not receive this.So,return your application form today,but hurry—it’s not every day we can make you an offer like this.To apply to become a member,all you need to do is simply fill in the enclosed form and return it in the postage paid envelope supplied.Before you know it,your books will be with you.Please don’t send any money now,as we will send you your bill with the books.And remember,you have up to a fortnight to decide if you wish to keep the books you have ordered.You should then either return the books or send your payment.70.Which of the following doesn’t belong to the benefits of being a club member?A.Get four books for free in the first year.B.Order a free watch.C.Get a gift for nothing.D.Order a DVD at a low price.71.Every month the club provides a free club magazine in order to_______.A.let readers know the number of books to be soldB.keep readers well informed of recent bestselling booksC.make readers know the club’s developmentD.attract more and more readers to join the club72.If a book is worth$100,how much will a member probably save if he buys one?A.$20B.$40C.$60D.$7073.What should you do if you want to join the book club?A.Just fill in a form with personal information and send the club an email.B.Ask other club members to recommend you to the club.C.Fill in an application form with needed information and return it to the club.D.Apply for a membership card.5.In1789the ernment passed a law which said that the land of the American Indians could never be taken from them without their agreement.One hundred years later,however,the Indians only had a very small part of the land that originally belonged to them.How did this great injustice occur?After1812white settlers began to move west across North America.At first,the settlers and the Indians lived in peace.However,the number of settlers increased greatly every year,and slowly the Indians began to see the white settlers as a danger to their survival.To feed themselves,the settlers killed more and more wild animals.The Indians,who depended on these animals for food,had to struggle against starvation.The settlers also brought with them many diseases which were common in white society,but which were new for the Indians.Great numbers of Indians became sick and died.Between1843and1854the Indian population in one area of the country went down from100,000to30,000.More land was needed for the increasing number of white settlers.In Washington,the old respect for the rights of the Indians disappeared.The old promises to the Indians were broken;the government began to move groups of Indians from their original homelands to other poorer parts of the country.Some Indians reacted angrily and violently to this treatment.They began to attack white settlers,and the Indian war began.For30years,until the late1880s,different groups of Indians fought against the injustices of the white man.They had a few famous successes,but the result of the struggle was never in doubt.There were too many white soldiers,and they were too powerful.Many Indians were killed;the survivors were moved from their homelands to different area of the country.It was a terrible chapter in the history of a country that promised freedom and equality to everyone.74.It can be inferred from the passage that______.A.in the U.S.there were many laws that provided the rights of American IndiansB.the law which was passed in1789by the ernment was not successfully carried outC.in the19th century no injustices were done against the Indians by the ernmentD.the majority of white settlers were openly opposed to the law passed in178975.According to the passage which of the following is TRUE?A.The Indians believed that killing too many wild animals had disturbed the balance of nature.B.The government began to have a better understanding of the Indians in the fifties of the 19th century.C.Between1843and1854about70,000Indians were killed in the battle.D.The whites carried serious diseases into where the Indians lived.76.It is implied in the passage that______.A.the Indians had many great successes in the Indians warsB.the Indians had no doubt that they would win the warsC.after the war the Indians stayed where they were beforeD.the Indians were too weak to win the struggle77.What is the writer’s opinion about the treatment that the Indians received from the U.S. government?A.He believed that the government always respected the rights of the Indians.B.He believed that the government can’t be criticized for its treatment to the Indians.C.He believed that the government treated the Indians unjustly.D.He believed that the government’s unfair treatment against the Indians was not on purpose.6.The question of whether our government should promote science and technology or the liberal arts in higher education isn’t an either/or proposition(命题),although the current emphasis on preparing young Americans for STEM(science,technology,engineering,maths)-related fields can make it seem that way.The latest congressional report acknowledges the critical importance of technical training,but also asserts that the study of the humanities(人文学科)and social sciences must remain central components of America’s educational system at all levels.Both are critical to producing citizens who can participate effectively in our democratic society,become innovative(创新的)leaders,and benefit from the spiritual enrichment that the reflection on the great ideas of mankind over time provides.Parents and students who have invested heavily in higher education worry about graduates’job prospects as technological advances and changes in domestic and global markets transform professions in ways that reduce wages and cut jobs.Under these circumstances,it’s natural to look for what may appear to be the most“practical”way out of the problem“Major in a subject designed to get you a job”seems the obvious answer to some,though this ignores the fact that many disciplines in the humanities characterized as“soft”often,in fact,lead to employment and success in the long run.Indeed,according to surveys,employers have expressed a preference for students who have received a broadly-based education that has taught them to write well,think critically,research creatively,and communicate easily.Moreover,students should be prepared not just for their first job,but for their4th and5th jobs, as there’s little reason to doubt that people entering the workforce today will be called upon to play many different roles over the course of their careers.The ones who will do the best in this new environment will be those whose educations have prepared them to be flexible.The ability to draw upon every available tool and insight—picked up from science,arts,and technology—to solve the problems of the future,and take advantage of the opportunities that present themselves, will be helpful to them and the United States.(Note:Answer the questions or complete the statements in NO MORE THAN TWELVE WORDS.)78.The latest congressional report suggests that________________________________.79.What is the main concern of students when they choose a major?80.What kind of job applicants do employers look for?81.What suggestions does the author give to college students?7.In order to study enzymes(酶),a small piece of potato is cut into very thin pieces.These thin pieces are placed in a little glass container and covered with water.Then a little of the proper chemical is added.Immediately,because of the enzyme present in the potato,the chemical starts joining with the oxygen in the air above the water.If the container is entirely closed,a partial vacuum(真空)is framed inside.If the container is now connected with a fine tube which is dipped in water,the water is sucked part way up the tube because of the vacuum.The scientists doing the experiment carefully notice how far up the tube is when water is sucked in a certain time.The higher it is sucked,the more of that particular enzyme and evenabout the way in which it operates.And all the time we are working with amounts far too small to see or weigh.1.What do the scientists want to find out in the experiment?a.Whether enzyme is present in the potato.b.What particular enzyme there is in the potato.c.How much enzyme there is in the potato.d.How enzyme works in the potato.A.a and bB.c and dC.b and dD.a and c2.The proper title for the passage is______.A.How a Vacuum Is FormedB.How Enzyme Is StudiedC.How Enzyme Works in a PotatoD.How Much Enzyme There Is in the Potato3.Which of the following correctly shows how the experiment is done?A.Put very thin pieces or potato in a vacuum container.B.Connect the glass container with a tube through which oxygen is sent in.C.Add some chemical to the water before thin pieces of potato are put in.D.Place thin pieces of potato in a glass container,cover them with water and then close it.4.The result of the study shows that______.A.the higher water is sucked,the less of enzyme in the potato isB.the more water is put into,the more of enzyme in the potato isC.the higher water is sucked,the more of enzyme in the potato isD.the lower water is sucked,the more of enzyme in the potato is上海复旦附中自主招生英语试题(3)1.FAJHB CDEIK2.BABDD ACCAB AADDA3.CDAB4.ABBC5.BDDC6.78.The humanities and STEM subjects should be given equal importance.79.Their chances of getting a good job.80.Those who have received a well-rounded education.81.Preparing themselves to be flexible;achieving every available tool and insight.7.BBDC。
复旦附中自招真题解析
复旦附中自招试题一、填空题 1. 已知a b cx b c a c a b===+++，则x =______________． 【答】12或1-． 【解析】由题意()()()()2a b c x b a c x a b c a b c x c a b x=+⎧⎪=+⇒++=++⎨⎪=+⎩若0a b c ++=，则1a ax b c a===-+-， 若0a b c ++≠，则12x =． 综上12x =或1-．2. 已知函数()()225323y x a x b x b =-+-+≤≤+图像关于y 轴对称，则a b +=______________． 【答】4．【解析】由题意二次函数对称轴0x =，定义域关于原点对称50a ⇒-=，230b b ++= 514a b ⇒+=-=．3. 已知函数()()2221y k x kx k =--++的图象与x 轴只有一个交点，则k =______________．【答】2±．【解析】若原函数不为二次函数，则243k y x =⇒=-+与x 轴只有一个交点成立；若原函数为二次函数，则()()244210202k k k k k ∆=--+=⇒--=⇒=-综上2k =±． 4. 在同一个直角坐标系中，已知直线y kx =与函数28,32,3324,x x y x x x -≥⎧⎪=--<<⎨⎪+≤⎩图象恰好有三个公共点，则k 的取值范围是______________．【答】223k <<． 【解析】原函数图象大致如图，当0k <，y kx =过二四象限不满足题意， 显然0k ≠，当y kx =过()3,2--则23k =，恰有两交点， 奥孚培优当2k =，三条直线平行，于是223k <<．5. 如图，在梯形ABCD 中，//AB CD ，CD AB >，设E 、F 分别是AC 、BD 的中点，AC与BD 交于点O ，已知OEF ∆是边长为1的正三角形，BOC ∆ABCD 的面积为______________．【答】【解析】设BO a =，则2OD OC a ==+， 由AOB ∆、ODC ∆均为正三角形，则()()22sin120222116sin 60222ABCD a a a a S a ︒⎧+=⎪⎪⇒++=⎨︒⎪=+⎪⎩416S ⇒=⋅=6. 已知矩形ABCD 中，1AB =，BC a =，若在边BC 上存在点Q ，满足AQ QD ⊥，则a的取值范围是______________． 【答】2a ≥．【解析】以AD 中点为圆心2a为半径作圆应与BC 有交点， 122aa ⇒≥⇒≥．7. 已知锐角ABC ∆的三边长恰为三个连续正整数，AB BC CA >>，若BC 边上的高为AD ，则BD DC -=______________． 【答】4． 【解析】设AB 、BC 、CA 分别为1n +、n 、1n -，则()()222222114n n BD DC AB AC BD DC BD DC BC n+-----====+8. 已知实数m ，n （其中1m n ⋅≠）分别满足：2199910m m ++=，299190n n ++=，则41mn m n++=______________．【答】5-．【解析】由()()2199********m m m +⋅+=⇒、n 均为299190x x ++=的解， 若它们为不同解，则1919m n ⋅=矛盾19m n ⇒=⇒原式21941199919551919m m m m m mm m⋅++++-===-．A BOFED CA BCDA BD C奥孚培优9. 若关于x 的方程()()2240x x x m --+=有三个根，且这三个根恰好可以作为一个三角形的三边长，则m 的取值范围是______________． 【答】34m <≤．【解析】显然2x =是原方程的根，设另两个根分别为a 、b ，42a b +=>，0∆≥，2a b -<且0m >，()21644341640m a b m m ⎧-=-<⎪⇒⇒<≤⎨∆=-≥⎪⎩．10. 如图，矩形ABCD 中，3AB =，4BC =，点E 是BC 边上一点，连接AE ，把B ∠沿AE折叠，是点B 落在点B '处，当CEB '∆为直角三角形时，BE 的长为______________．【答】32或3． 【解析】设BE x =，过B '作B H BC '⊥于H ，（1）90B EC '∠=︒，45AEB ⇒∠=︒，3x AB ⇒==， （2）90B CE '∠=︒，B '⇒在CD 上，H 与C 重合，由BB AE '⊥，3BB '⇒=，3BH22184291809xBH x x x ==⇒-+=+无解（3）90EB C '∠=︒，则C 、B '、A 共线，AE 为BAC ∠角平分线， 33452x x x ⇒=⇒=-，综上32BE =或3．11. 如图，OA 、OD 是O 的半径，延长OA 至B ，使O A A B =，C 是OA 的中点，AOD ∠为锐角α，连接CD 、BD ，且CD a =，则BD =______________． 【答】2a ．【解析】设1OC =，则4OB =，2OD OA ==，2OC OB OD ⋅=，OCD ⇒∆∽ODB ∆，相似比1:2 22BD CD a ⇒==．A D BC B 'OD C ABA DBC E H B ' 奥孚培优12. 已知直角三角形的三边长都是整数，且其面积与周长在数值上相等，若将全等的三角形都作为同一个，那么这样的直角三角形的个数是______________个． 【答】2．【解析】设直角三角形三边分别为a b c <<，()2222a b cab a b c ⎧+=⎪⎨=++⎪⎩有())2222222277c a b b c ab b b b b a =+<⇒⇒<++=<⇒<，而()()2205ab a b c b b a =++>++⇒≥，若5a =，()()2525c b c b c b =-+⇒+=，113c b c -=⇒=，12b =代入两式验证成立； 若6a =，()()3618c b c b c b =-+⇒+=，210c b c -=⇒=，8b =代入两式验证成立；综上()(),,6,8,10a b c =或()5,12,13，满足条件的三角形有2个．13. 设()10n n ≥个机场，每一机场起飞一架飞机，飞到离起飞机场最近的机场降落，且任何两机场之间的距离都不相等，则任意一个机场降落的飞机架数的最大值为____________．【答】5【解析】首先有五架飞机在O 降落是可以构造的，只需O 为正五边形ABCDE 的中心，其他飞机场在较远处即可．其次证明不可能有六架飞机在O 降落，如图，对于任意一个飞机场O 考虑它60︒夹角方向，若区域内有A 、B 两飞机场， 则60AOB ∠≤︒，若A 、B 同时飞往O ，则AO AB <，BO AB <， AB ⇒为AOB ∆最大边，AOB ⇒∠为最大角矛盾；于是对飞机场O ，在夹角为60︒的区域内最多有一架飞机．若存在六架A 、B 、C 、D 、E 、F 飞机飞到点O ，以OA 为边界将点O 的圆周角6等分，则形成如图五块区域，每块区域内最多一架飞机，与六架飞机飞到点O 矛盾．二、解答题14. 关于x 的方程()222120x m x m m --++=的两个根分别为1x ，2x ．（1）若12x x -=m 的值； （2）若1x ，2x 均为整数，求m 的值．12 3 4 1 5AO 60︒O AB60︒奥孚培优【答】（1）1m =-，（2）2m =-，32-，12-，0．【解析】（1）()()222521424811m m m m m m =--+=--+⇒=-；（2）由12212x x m m +=-⇒为整数设为k ，()()()()222221421225222k k k k k k k ⎡⎤⎛⎫∆=--⋅+=--+=-+⎢⎥ ⎪⎝⎭⎢⎥⎣⎦为完全平方数，4k ⇒=-、3-、1-，验证成立，于是2m =-、32-、12-、0．15. 如图，ABC ∆中，5AB BC ==，6AC =，过点A 作//AD BC ，点P 、Q 分别是射线AD 、线段BA 上的动点，且AP BQ =，过点P 作//PE AC 交线段AQ 于点O ．联结PQ ，记A P x =，POQ ∆面积为y ．（1）求y 关于x 的函数关系式，并写出x 的取值范围； （2）联结QE ，若PQE ∆与POQ ∆相似，求AP 的长．【答】（1）22412255y x x =-+，502x ≤<； （2）5．【解析】（1）22225567cos cos 2525DAB B +-∠=∠==⋅24sin 25DAQ ⇒∠=， APO OEB BOE AOP AO AP x ∠=∠=∠=∠⇒==，5AQ x =-，52AO AQ x ≤⇒≤()()sin 1252225DAQ AQ AO APy x x ∠⋅-⋅⇒==-⋅ 22412255y x x ⇒=-+，502x ≤< （2）若PQO ∆∽PEQ ∆，则()22222PO PE PQ PH HQ PH AQ AH ⋅==+=+-()()264500625042516250x x x x ⇒-+=⇒--=2516x ⇒=或254（舍），综上2516AP =．16. 一幢33层的大楼有一部电梯停在第一层，它一次最多能容纳32人，而且只能在第2层到第33层中的某一层停一次，对于每个人来说，他往下走一层楼梯感到1分不满意，D P AHOQ BECDP AOQ BEC奥孚培优往上走一层楼梯感到3分不满意．现在有32个人在第一层，并且他们分别住在第2至第33层的每一层，问：电梯停在哪一层，可以使得这32个人不满意的总分达到最小？最小值是多少？（有些人可以不乘电梯而直接从楼梯上楼） 【答】316．【解析】设电梯在层第x 层，有y 个人不坐电梯，则总分 ()[]()312333121122S x y x y =⨯+++-+⨯++++⨯+++--⎡⎤⎡⎤⎣⎦⎣⎦()()()()()333411233222x x y y x y x y --+----=⨯+⨯+222210231684x xy y x y =-+-++ ()221021526316448y x y ⎛⎫=--+-+ ⎪⎝⎭于是当27x =，6y =时，S 取最小值316．17. 设x 是实数，不大于x 的最大整数叫做x 的整数部分，记作[]x ，如[]1.21=，[]33=，[]1.32-=-，（1）()()()22211110111111212016201711011111220162017S =+++⎡⎤⎡⎤⎡⎤⨯-⨯-⨯-⎢⎥⎢⎥⎢⎥⨯⨯⨯⎢⎥⎢⎥⎢⎥⎣⎦⎣⎦⎣⎦，求[]90S ；（2）解关于x 的方程：2123122x x x -⎡⎤--=⎢⎥⎣⎦．【答】（1）9（2）1或1+．【解析】（1）()()()()()()222111221211n n n n n n n n n n n n ⎡⎤+-⎡⎤⎢⎥=+-+=+-=-+⎢⎥++⎢⎥⎢⎥⎣⎦⎣⎦1111111113912101320152018912101320152018⎡⎤⎛⎫⎛⎫⎛⎫=+++=⨯-+-++- ⎪ ⎪ ⎪⎢⎥⨯⨯⨯⎝⎭⎝⎭⎝⎭⎣⎦ 11111111119121013201520183912101320152018S ⎡⎤⎛⎫⎛⎫⎛⎫=+++=⨯-+-++- ⎪ ⎪ ⎪⎢⎥⨯⨯⨯⎝⎭⎝⎭⎝⎭⎣⎦1111111391011201620172018⎛⎫=⨯++--- ⎪⎝⎭303030303063030309039+91120162017201899201620172018S =++---=---[]909S ⇒=奥培优（2）设12x k -=，()[]22412k k ⇒-=，[]213k k ⇒-=，23313k k k ⇒-<-≤， 左边可得1k <或2k <，右边有231414k k k -≤<⇒-<<， 也即11k -<<或24k <<，[]1k ⇒=-，0，2或3，代入[]213k k -=验证得k =1x ⇒=或1．奥孚培优。
上海四校自招-数学复旦附中卷_含答案
a2 b2 (ab)2
(ab)2
(7)2
49
49
4. 【注】原题应为 p 是奇质数 (2x p)(2 y p) p2
则 2x p 1， 2y p p2
∴ x p 1 ， y p2 p
2
2
5. 显然 x 0
两边平方得 x2 x 1 1 1 2 (x 1)(1 1)
xx
xx
两边同乘 x ，得 x3 x2 x 2 2 (x2 1)(x 1)
因此，经过 70s 时，甲乙位于同一条边
7. 设点 P 速度为 6 ， Q 的速度为 3 ， R 的速度为 2 ，边长 AB 6
则 SAPR
3 AP·AR 4
3 6t (6 2t) 4
SBPQ
3 BP·BQ 4
3 3t (6 6t) 4
SCQR
3 CQ·CR 4
3 2t (6 3t) 4
【高中知识点】解析几何——圆的方程、两根差公式、分离变量、均值不等式
9. 【注】原题应为“有且仅有一个实数根”，这样表达的更准确一些 原方程
2x 3
ax
(x 1)(x 2) (x 1)(x 2)
2x 3 ax
x 1
x
2
4x2 12x 9 ax
x
3 2
x 2
a
4x
9 x
12
坐标；
2015 年初升高·自招真题解析·数理化
1
(3) 设点 P 是 x 轴上的任意一点，分别连结 AC 、 BC 。比较 PA PB 与 AC BC 的大小关系，说明理 由。
【试卷总结与分析】
1. 高中知识点分析
涉及到的重要高中知识点几乎很少，但有些考察的并不浅，如第 9, 10, 11 题 并不是简单的通过初中知识就能解决的，需要较好的掌握才足以解决问题（如参变分离思想，对勾函 数的图像，均值不等式等） 因此，建议考生对于高中的这些特有的思想和知识，又与初中知识相关的，加强补习与训练，才能在 考试中占据优势
复旦附中自主招生物理真题整理
复旦附中自主招生物理真题整理【例1】一斜面长10米，高1米，一重100牛的物块恰好能沿此斜面匀速向下滑动，若以平行于斜面的力F将此物块匀速推上斜面，则F= ________ N 。
【例2】如图所示，试管A漂浮在水面上，试管B悬浮在水中，试管A与试管B都封闭有一定量的空气，以下说法正确的是（）A. 将试管A上提一微小距离，放手后试管A不会回到原来位置B. 将试管A下压一微小距离，放手后试管A会回到原来位置C. 将试管B上提一微小距离，放手后试管B会回到原来位置D. 将试管B下压一微小距离，放手后试管B会回到原来位置【例3】下雨了。
如果忘了带伞又必须在雨中行走，是走还是跑才能被雨少淋？美国Discovery探索频道的节目《流言终结者》中，两位实验专家通过控制变量法得到的结论是跑步比走路淋雨多。
但节目中也提及美国北卡罗来州的两名气象学家曾做过这个实验，得到结果却是跑步比走路淋的雨少40%。
同样的问题的出了两个截然相反的结论。
让我们建立如下物理模型，讨论这个问题。
淋雨量问题涉及的主要因素有：单位体积降雨量 ，竖直雨速v雨，水平风速v风，人的行走速度v人(当跑步时，v人比较大)，行走的直线距离L1和人的淋浴面积。
人可简化为一个长方体模型，如图所示，可能被淋到的面为：S顶，S 正(代表人的正面)，S背。
若以上条件均已知，则(1) 在无风的情况下，即v风=0，人在雨中行走或跑步，S顶，S 正，S背三个面中，哪个面的淋雨为0？(2) 请写出无风时，淋雨量不为0的各面的淋雨量的表达式。
由此，在无风的情况，是走还是跑才能被雨少淋？(3) 若有风，且背面有风，求雨滴相对于地面的速度大小，并写出总淋雨量的表达式，说明是走还是跑才能被雨少淋。
【例4】一、正文：圆周运动大家学习了有关物体运动的知识，但研究的基本都是直线运动，而直线运动是物体运动的最简单形式，实际生活中，绝大部分物体的运动都不是直线运动，所以我们有必要对物体运动的研究进行拓展，而今天我们要研究的是最简单曲线运动之一的圆周运动。
上海市复旦附中英语自招真题试卷共3份及答案
上海复旦附中自主招生英语试题（1）选择题：31.They are fed up_______the old routine.A.withB.ofC.atD.on固定搭配：厌倦，厌烦be fed up with32.He is such a(n)_______teacher that has devoted all his and energy to his students.A.conscientiousB.consciousC.academicD.scientific形容词辨析：conscientious认真负责的，本着良心的；conscious有意识的；academic学术的；scientific科技的。
根据题意：他是如此有良知的老师以至于将所有精力花在学生身上。
33.We are looking for someone with a real sense of_______to the job.mitteemitmentmunitymission名词辨析：committee委员会；commitment承诺；community社区，commission委员会。
根据题意：我们在寻找一个对工作有责任感的人。
34.Since you are_______to the seafood,you’d better avoid eating it.A.sensibleB.sentimentalC.sensitiveD.sensory形容词辨析：sensible明智的；sentimental多愁善感的；sensitive敏感的；sensory感官的。
根据题意：由于你对海鲜过敏，你最好不要吃。
35.During the celebration,fireworks have been_______at the bay.A.set outB.set aboutC.set upD.set off动词词组辨析：set out出发，着手于；set about着手于；set up建立；set off出发，（烟花爆竹的）点燃36.There are fewer working hours in the executive jobs,_______the job stress is comparatively higher.A.thatB.whereC.whichD.what定语从句，the job stress is comparatively higher in the executive jobs37.They declared the war,for they believed that country had_______the weapons of mass destruction.A.liberatedB.counteredC.approvedD.proliferated动词辨析：liberate解放；counter反击；approve批准，proliferate激增，根据题意，由于认为那个国家扩散了大规模杀伤性武器，他们宣战了。
上海复旦附中自主招生英语试题(3)含答案(20200802193610).pdf
上海复旦附中自主招生英语试题(3)1.A.increasinglyB.loweringmonD.solutionsE.individuallyF. callingG.dependent H.shortcomings I.consumption J.introduced K.sensesA United Nations panel on climate change says global warming is causing extreme weather all over the world and is__41__on governments to come up with new ideas to curb gas emissions. Since much of the air pollution comes from coal-fired power plants,scientists in Denmark areenergy needs with new types of smart streetlights.trying to lower their nation’ｓOur__42__industrialized world needs huge amounts of electrical energy,but our powerplants, plants still rely mostly on technology__43__as early as the19th century—coal—powered hydroelectric dams or somewhat never nuclear energy,all of which have their own__44__.But scientists say we can slow down global warming by__45__energy demands for street lights.urban areasrequire a lot of electricity.These__46__features of the world’ｓThe U.S.Energy Information Administration estimates that in2012,lighting for buildings, streets and highways in the ed about274billion kilowatt hours.first carbon-neutral city by2025,scientists in the In a bid to make Copenhagen the world’ｓDanish capital are testing a variety of new street lighting technologies.Kim Brostrom is the chief technical officer at the Danish Outdoor Lighting Lab.“We h ave installed nine kilometers of streets,we have280masts placed here,we have50 different__47__,we have10different management systems,and we have a lot of differentsaid Brostrom.sensorsand things out in the open area,”Chief science officer Jakob Andersen says the lights can be managed__48__from a tablet computer or a smart phone.The main goal is to lower energy__49__when the light is not needed.So the lamp brightens up only when it__50__an approaching pedestrian,cyclist or vehicle.Some of them even have a backup wind generator or a solar cell.2.Diet Coke,diet Pepsi,diet pills,on-fat diet,vegetable diet…We are__51__by the word everywhere we look and listen.We have so easily been attracted by the promise and__52__“diet”of diet products that we have stopped thinking about what diet products are doing to us.We are paying for products that__53__us psychologically and physically(身体上).Diet products significantly weaken us psychologically.On one level,we are not allowing our brain to__54__that our weight problems lie not in actually losing the weight,but in controlling the__55__of fatty,high-calorie,unhealthy foods.Diet products allow us to jump over the thinking stage and go straight for the scale(秤)instead.All we have to do is to swallow or__56__ in food labels.the word“diet”On another level,diet products have greater psychological effects.Every time we have azero-calorie drink,we are telling ourselves without our__57__that we don’ｔhave to work to get results.Diet products make people believe that gain comes without pain,and that life can be without resistance a(n)__58__.The danger of diet products lies not only in the psychological effects they have on us,but also in the physical harm that they cause.Diet foods can__59__harm our bodies because consuming them instead of healthy foods means we are preventing our bodies from having__60__ nutrients(营养成分).Diet foods and diet pills__61__zero calorie only becausethe diet industry has created chemicals to produce these wonder products.Diet products may not be__62__,and the chemical that go into diet products are potentially dangerous.Now that we are aware of the effects that diet products have on us,it is time to__63__think about buying them.Losing weight lies in the power of minds,not in the power of chemicals. __64__we realize this,we will be much better able to resist diet products,and__65__prevent the psychological harm that comes from using them.51. A.confused B.surrounded C.mixed D.fascinated52. A.potential B.affection C.obligation D.calculation53. A.weaken B.harm C.enforce D.inspire54. A.admire B.argue C.deny D.admit55. A.assumption B.digestion C.dissolution D.consumption56. A.recognize B.foresee C.overlook D.research57. A.frustration B.ignorance C.awareness D.emphasis58. A.maintenance B.efficiency C.struggle D.setback59. A.indirectly B.inevitably C.incredibly D.innocently60. A.extra B.basic anic D.delicate61. A.contain B.persist C.exclude D.melt62. A.nutritional B.poisonous C.ridiculous D.sensitive63. A.strongly B.enthusiastically C.eagerly D.seriously64. A.Unless B.While C.Though D.Once65. A.therefore B.otherwise C.meanwhile D.furthermore3.beard was It was a bitter cold evening in northern Virginia many years ago.The old man’ｓfrost while he waited for a ride across the river.The wait seemed endless.His glazed by winter’ｓbody became numb and stiff from the frigid north wind.It was long before he heard the faint,steady rhythm of hooves(马蹄)along the frozen path. Anxiously watching several horsemen coming up,he let the first one passby without any effort to get his attention,then another passed by,and another.Finally,the last rider drew near where the old man sat like a snow statue when old man caught his eyes and said,“Sir,would you mind giving an old man a ride to the other side?”Seeing the old man unable to lift Stopping his horse,the rider replied,“Sure!Jump aboard.”his half-frozen body from the ground,the horseman got down to help him.The horseman took him not just across the river,but to his destination just a few miles away.curiosity causedhim to inquire, As they approached the tiny but cozy cottage,the horseman’ｓ“Sir,I noticed you let several other riders passby without making an effort to secure a ride.Then I came up and you immediately asked me for a ride.I am curious why,on such a bitter night,you would wait and ask the last rider.What if I had refused and left you here?”The old man looked the rider straight in the eyes and replied,“Ｉreckon I know people pretty good.I looked into the eyes of the other riders and immediately found no concern for my situation. It would have been useless even to ask them for a ride.But when I looked into your eyes,your gentle spirit would welcome the opportunity to give me assistancein my time of need.”so grateful for what you Those heart-warming comments touched the horseman deeply.“I’ｍhe told the old man.“May I never get too busy in my own affairs that I fail to respond have said,”to the needs of others with kindness and compassion.”With that,Thomas Jefferson turned his horse around and made his way back to the White House.the old man ask the previous riders for a ride?66.Why didn’ｔA.Because he was waiting for the last rider.B.Because his efforts failed to get their attention.C.Because he assumed they had no concern for him.D.Because he was too numb to lift his half-frozen body.67.What caused the last rider to stop and help the old man?warm comments.poor situation. B.The old man’ｓA.The old man’ｓC.His own affairs.D.Kindness and sympathy.68.What do you know about the old man?A.He judged people by looking into their eyes.B.He lived in a cozy cottage a few miles away.C.He gave the last rider an opportunity to help.D.He recognized the president at first.69.Which can be the best title of this text?A.Look into your eyes.passion of a great man.C.The last rider to help.D.Return to the White House.4.International Book ClubHave you ever thought of joining a book club and buying new books through the post?Here at the International Book Club,we already have many members buying books from us by mail. Immediate benefits：As a special offer,you may choose any reduced price books from our new members’book list, to the value of$6in total(plus postage and packing).By doing this,you will save pounds on prices.the publishers’Tick the box on your form to order a free watch.If you reply within seven days,we will send you another free gift carefully chosen from our book list by our staff.Order aDVD from the many on offer in our list,at half the recommended retail price.joined：When you’veprice on As a member,you’ll enjoy savings of between30%and50%off the publisher’ｓevery book you buy,and what’ｓcome straight to your door.Your free club magazinemore,they’llarrives once a month,to keep you up to date with the latest bestsellers.This means that every year we offer over1,000books to choose from.On the Internet,you can find all our titles for the yearwebsite.on our exclusive members’Being a member：All we are asking you to do while you are a member is to choose four books during your first year.After that,you can decide on the number of books you wish to take.In each of our monthly club magazines,our experienced staff choose a Club Choice book—a work of fiction or a reference title which they feel is particularly worth buying,and which is offered at an extra special price.However,if you do not want this book,just say so in the space provided on the form.We will always send the book if we do not receive this.not every day we can make you an So,return your application form today,but hurry—it’ｓoffer like this.To apply to become a member,all you need to do is simply fill in the enclosed form and return it in the postage paid envelope supplied.send any money now,as we Before you know it,your books will be with you.Please don’ｔwill send you your bill with the books.And remember,you have up to a fortnight to decide if you wish to keep the books you have ordered.You should then either return the books or send your payment.belong to the benefits of being a club member?70.Which of the following doesn’ｔA.Get four books for free in the first year.B.Order a free watch.C.Get a gift for nothing.D.Order a DVD at a low price.71.Every month the club provides a free club magazine in order to_______.A.let readers know the number of books to be soldB.keep readers well informed of recent bestselling booksdevelopmentC.make readers know the club’ｓD.attract more and more readers to join the club72.If a book is worth$100,how much will a member probably save if he buys one?A.$20B.$40C.$60D.$7073.What should you do if you want to join the book club?A.Just fill in a form with personal information and send the club an email.B.Ask other club members to recommend you to the club.C.Fill in an application form with neededinformation and return it to the club.D.Apply for a membership card.5.In1789the ernment passeda law which said that the land of the American Indians could never be taken from them without their agreement.One hundred years later,however,the Indians only had a very small part of the land that originally belonged to them.How did this great injustice occur?After1812white settlers began to move west across North America.At first,the settlers and the Indians lived in peace.However,the number of settlers increased greatly every year,and slowly the Indians began to see the white settlers as a danger to their survival.To feed themselves,the settlers killed more and more wild animals.The Indians,who depended on these animals for food,had to struggle against starvation.The settlers also brought with them many diseaseswhich were common in white society,but which were new for the Indians.Great numbers of Indians became sick and died.Between1843and1854the Indian population in one area of the country went down from100,000to30,000.More land was needed for the increasing number of white settlers.In Washington,the old respect for the rights of the Indians disappeared.The old promises to the Indians were broken;the government began to move groups of Indians from their original homelands to other poorer parts of the country.Some Indians reacted angrily and violently to this treatment.They began to attack white settlers,and the Indian war began.For30years,until the late1880s,different groups of Indians fought against the injustices of the white man.They had a few famous successes,but the result of the struggle was never in doubt.There were too many white soldiers,and they were too powerful.Many Indians were killed;the survivors were moved from their homelands to different area of the country.It was a terrible chapter in the history of a country that promised freedom and equality to everyone.74.It can be inferred from the passagethat______.A.in the U.S.there were many laws that provided the rights of American IndiansB.the law which was passed in1789by the ernment was not successfully carried outC.in the19th century no injustices were done against the Indians by the ernmentD.the majority of white settlers were openly opposed to the law passedin178975.According to the passagewhich of the following is TRUE?A.The Indians believed that killing too many wild animals had disturbed the balance of nature.B.The government began to have a better understanding of the Indians in the fifties of the 19th century.C.Between1843and1854about70,000Indians were killed in the battle.D.The whites carried serious diseasesinto where the Indians lived.76.It is implied in the passagethat______.A.the Indians had many great successes in the Indians warsB.the Indians had no doubt that they would win the warsC.after the war the Indians stayed where they were beforeD.the Indians were too weak to win the struggle77.What is the writer’ｓopinion about the treatment that the Indians received from the U.S. government?A.He believed that the government always respected the rights of the Indians.be criticized for its treatment to the Indians.B.He believed that the government can’ｔC.He believed that the government treated the Indians unjustly.unfair treatment against the Indians was not onD.He believed that the government’ｓpurpose.6.The question of whether our government should promote science and technology or thean either/or proposition(命题),although the current emphasis liberal arts in higher education isn’ｔon preparing young Americans for STEM(science,technology,engineering,maths)-related fieldscan make it seemthat way.The latest congressional report acknowledges the critical importance of technical training,butalso asserts that the study of the humanities(人文学科)and social sciences must remain centraleducational system at all levels.Both are critical to producing citizens components of America’ｓwho can participate effectively in our democratic society,become innovative(创新的)leaders,and benefit from the spiritual enrichment that the reflection on the great ideas of mankind over time provides.Parents and students who have invested heavily in higher education worry about graduates’job prospects as technological advances and changes in domestic and global markets transformnatural to look professions in ways that reduce wages and cut jobs.Under these circumstances,it’ｓway out of the problem“Major in a subjectfor what may appear to be the most“practical”designed to get you a job”seems the obvious answer to some,though this ignores the fact thatoften,in fact,lead to employment andmany disciplines in the humanities characterized as“soft”success in the long run.Indeed,according to surveys,employers have expressed a preference for students who have received a broadly-based education that has taught them to write well,think critically,research creatively,and communicate easily.Moreover,students should be prepared not just for their first job,but for their4th and5th jobs, little reason to doubt that people entering the workforce today will be called upon toas there’ｓplay many different roles over the course of their careers.The ones who will do the best in thisnew environment will be those whose educations have prepared them to be flexible.The ability toup from science,arts,and technology—to draw upon every available tool and insight—pickedsolve the problems of the future,and take advantage of the opportunities that present themselves,will be helpful to them and the United States.(Note:Answer the questions or complete the statements in NO MORE THAN TWELVE WORDS.)78.The latest congressional report suggeststhat________________________________.79.What is the main concern of students when they choosea major?80.What kind of job applicants do employers look for?81.What suggestions does the author give to college students?7.In order to study enzymes(酶),a small piece of potato is cut into very thin pieces.These thin pieces are placed in a little glass container and covered with water.Then a little of the proper chemical is added.Immediately,because of the enzyme present in the potato,the chemical starts joining with the oxygen in the air above the water.If the container is entirely closed,a partial vacuum(真空)is framed inside.If the container is now connected with a fine tube which is dippedin water,the water is sucked part way up the tube becauseof the vacuum.The scientists doing the experiment carefully notice how far up the tube is when water is sucked in a certain time.The higher it is sucked,the more of that particular enzyme and evenabout the way in which it operates.And all the time we are working with amounts far too small to see or weigh.1.What do the scientists want to find out in the experiment?a.Whether enzyme is present in the potato.b.What particular enzyme there is in the potato.c.How much enzyme there is in the potato.d.How enzyme works in the potato.A.a and bB.c and dC.b and dD.a and c2.The proper title for the passageis______.A.How a Vacuum Is FormedB.How Enzyme Is StudiedC.How Enzyme Works in a PotatoD.How Much Enzyme There Is in the Potato3.Which of the following correctly shows how the experiment is done?A.Put very thin pieces or potato in a vacuum container.B.Connect the glass container with a tube through which oxygen is sent in.C.Add some chemical to the water before thin pieces of potato are put in.D.Place thin pieces of potato in a glass container,cover them with water and then close it.4.The result of the study shows that______.A.the higher water is sucked,the less of enzyme in the potato isB.the more water is put into,the more of enzyme in the potato isC.the higher water is sucked,the more of enzyme in the potato isD.the lower water is sucked,the more of enzyme in the potato is上海复旦附中自主招生英语试题(3)1.FAJHB CDEIK2.BABDD ACCAB AADDA3.CDAB4.ABBC5.BDDC6.78.The humanities and STEM subjects should be given equal importance.79.Their chances of getting a good job.80.Those who have received a well-rounded education.81.Preparing themselves to be flexible;achieving every available tool and insight.7.BBDC。
复旦附中英语自招卷
Choice1. “Do you like the material?” “Yes, it ______very soft.”A. is feelingB. feltC. feelsD. is felt2. No matter how much you’ve learned and how high a standard of education you have had, you must ______ the people heart and soul.A. serveB. serve forC. serve toD. serve on3. According to the rules, students must not ______ their books during examinations.A. readB. watchC. noticeD. look at4. Mr. Smith was in great need of money, so he ______$2 000 for his car.A. paidB. tookC. costD. spent5. I ______ him not to go abroad, but he wouldn’t listen.A. persuadedB. tried to persuadeC. have persuadedD. was persuaded6. When she came several days later, she found that all things still ______ where she had ______ them.A. lay; laidB. laid; laidC. lay; lainD. lying; lain7. Professor White has written some short stories, but he is ______ known for his plays.A. the bestB. moreC. betterD. the most8. You are ______ careful than your brother. You two can’t do the work that needs care and skill.A. not moreB. no moreC. not lessD. no less9. ______ has any common sense can tell the difference between the two.A. WhoB. whoeverC. AnyoneD. Who ever10. “It’s said that he is a wise leader.” “Oh, no, he is ______ but a wise leader.”A. anythingB. anyoneC. anybodyD. anywhere11. The murder happened in an old building, beside ______ the city police station.A. Which areB. it isC. which isD. them are12. A man with a bleeding hand hurried in and asked, “Is there a hospital around ______ I can get some medicine for my wounded hand ? ”A. thatB. whichC. whichD. who13. He told me that he had two girl-friends, neither of ______ knew anything about the other.A. themB. whomC. whichD. who14. He told me that he had two girl-friends and neither of ______ knew anything about the other.A. themB. whomC. whichD. who15. On Sundays there were a lot of children playing in the park, ______ parents sitting together joking.A. theirB. whoseC. whichD. that16. On Sundays there were a lot of children playing in the park, ______ parents sat together joking.A. theirB. whoseC. whichD. that17. Everyone in our class was working hard and doing what we could ______ a good college.A. enterB.to enterC. enteringD. entered18. He knows nothing about it, so he can’t help ______ any of your work.A. doingB. to doC. being doingD. to be done19. The practice of hanging clothes across the street is a common ______ in many parts of the city.A. lookB. sighC. sightD. appearance20. He and his wife are of the same ______; they both want their son to go to college.A. soulB. spiritC. heartD. mind21. A survey of the opinions of experts ______ that three hours of outdoor exercise a week ______ good for one’s health.A. show; areB. shows; isC. show; isD. shows; are22. It’s the sort of work that ______ a high level of concentration.A. calls forB. makes upC. likes inD. stands for23. The news of the mayor’s coming to our school for a visit was ______ on the radio yesterday.A. turned outB. found outC. given outD. carried out24. If the firms failed to make enough money, they would ______.A. close downB. call offC. turn downD. set off25. People try to avoid public transportation delays by using their own cars, and this ______ creates further problems.A. in shortB. in caseC. in doubtD. in turn26. If we can ______ our present difficulties, then everything should be all right.A. come acrossB. get overC. come overD. get off27. –Have you ______ some new ideas?--Yeah. I’ll tell you later.A. come aboutB. come intoC. come up withD. come out with28. –I think he is taking an active part in social work.--I agree with you ______.A. in a wayB. on the wayC. by the wayD. in the way29. Hardly could he ______ this amount of work in such a short time.A. get throughB. get offC. get intoD. get down30. –How was the televised debate last night?--Super! Rarely ______ so much media attention.A. a debate attractedB. did a debate attractC. a debate did attractD. attracted a debate31. The little boy came riding full speed down the motor way on his bicycle. ______ it was!A. What a dangerous sceneB. What dangerous a sceneC. How a dangerous sceneD. How dangerous the scene32. Reality is not the way you wish things to be, nor the way they appear to be, ______ the way they actually are.A. asB. orC. butD. and33. It ______ we had stayed together for a couple of weeks ______ I found we had a lot in common.A. was until; whenB. was until; thatC. wasn’t until; whenD. wasn’t until that34. It is not who is right but what is right ______ is of importance.A. whichB. itC. thatD. this35. ______, his idea was accepted by all the people at the meeting.A. Strange as might it soundB. As it might sound strangeC. AS strange it might soundD. Strange as it might sound36. The train pulled ______ and all the passengers got off.A. inB. outC. down on37. We thought they had come to repair the phone, but ______, they were thieves.A. in additionB. in vainC. in futureD. in reality38. Fully ______ in looking after three children at home, she no longer has time to enjoy the various activities in the club.A. attachedB. occupiedC. contributedD. devoted39. I have read the material several times but it doesn’t make any ______ to me.A. meaningB. importanceC. senseD. sign40. Like some of my classmates, I can’t live up to my teachers’ expectations; ______ let them down.A. in other wordsB. after allC. what’s moreD. more or lessTranslation:1. 他是如此激动所以一宿未眠(so…as to…)2. 他养成了定期复习英语的习惯。