(完整版)复旦附中自主招生英文试题
2012上海复旦附中自主招生英语试题(1)
摘要：上海复旦附中自主招生英语试题
31.They are fed up _______the old routine.
A. with
B. of
C. at
D. on
32.He is such a(n) _______teacher that has devoted all his and energy to his students.
A. conscientious
B. conscious
C. academic
D. scientific
33.We are looking for someone with a real sense of_______ to the job.
A. committee
B. commitment
C. community
D. commission
34.Since you are_______ to the seafood, you’d better avoid eating it.
A. sensible
B. sentimental
C. sensitive
D. sensory
35.During the celebration, fireworks have been_______ at the bay.
A. set out
B. set about
C. set
36.There are fewer working hours in the executive jobs, _______the job stress is comparatively higher.
A. that
B. where
C. which
D. what
37.They declared the war, for they believed that country had_______ the weapons of mass destruction.
A. liberated
B. countered
C. approved
D. proliferated
38.The journalist reported the_______ of children labors who had worked many days on end.
A. expansion
B. expedition
C. exploitation
D. exploration
What is the thing called happiness? For centuries, people were too busy pursuing it 39 much time analyzing it. Now a pioneering band of researchers has finally bagged the elusive quarry or at least taken its measure. Using such sophisticated new tools 40 the five-item Life Satisfaction Scale and the seven-point Delighted-terrible Scale (On a scale of one to seven, how do you feel about your life?),social psychologists have plumbed the heart of happiness. And their answer to the age-old 41 is that it all depends.
Happiness, that is, 42 what makes. you feel happy, which is why psyc1hologists often call it“subjective well-being.” But from studies of various age and population groups in the United States and abroad, they have reached some 44 at the top of the charts is not, as many might expect, success, youth, good looks or any of those 45 assets. The clear winner is relationship, close ones, followed by happy marriage. Supportive, intimate connections with other people seem 46 important. Using simple survey questions, psychologist David Myers found that the 47 happy people are those in unhappy marriages. Happiest are those who married 48 their “best friend.”39. A. to spend B. spending C. has spent D. have spent
40.Alike B. alike C. as D. for instance
41.A.psychology B. mystery C. solution D. trick
42.A.results in B. leans against C. depends on D. arrives at
43.A.realistic B. idealistic C. objective D. individualistic
44.A.endlessly B. contradictorily C. harmoniously D. consistantly
45.Aenviable B. reliable C. inevitable D. endurable
46.A.vastly B. tremendously C. swiftly D. basically
47.A.most B. best C. least D. worst
48.A.to B. with C. for D. off
上海复旦附中自主招生英语试题(2)
摘要：上海复旦附中自主招生英语试题
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 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 1868 had educated only women, began accepting men this year in hopes of bolstering 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 –campus late month Both sexes are now trying to naviga te new social landscape. Mr. Phillips said“You can’t do guy stuff. Every time you want to sit and watch sports or a game, it turns into a movie.” The women were “some what 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 did not have to fuss over their appearance or fight to be taken seriously by their professors. They could enjoy the camaraderie of their campus sisters and their 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. 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 o f higher learning. “Give her the opportunity,” he wrote.
Henry Wells, a founder of Wells Fargo and a friend of Cornell’s benefactor, Ezra Cornell established this college, when were not considered capable of higher learning. “Give her the opportunity,” h e wrote.
The great-great-great-great granddaughter of Henry Wells, Stephanie Redmond, 18,of Washington State, said that earlier this year a Wells student had tracked her down and asked her to support the protest. But Ms. Redmond said the move 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.
49.The primary reason for the Wells College to accept men is that .
A. its enrollment rate is decline
B. the campus is lack of vigor and vitality
C. it will face the destiny of being closed down
D. all-women’s college might put a woman at a disadvantage
50.A typical behavior for seniors to do that .
A. they jog along the picturesque campus
B. they switch sports programs to a movie
C. they celebrate their year by jumping into a lake
D. they swim in Cayuga Lake accompanied by friends
51.The change after turning into a coed college is that .
A. dirty looks in women’s eyes have disappeared
B. women get up early to make up
C. Women are waking up early to study
D. women dance with men around the maypole
52.The attitude of the author is that .
A. she hares a tradition of all-women schools
B. she calls on women in support the protest
C. she dislikes the change and hopes to file a lawsuit
D. she objectively describes the new and uneasy coeducation
53.Which of the following statements is Not true?
A. The enrollment of male students caused controversy,
B. The grandchildren of the college founder benefited most.
C. The current president of the college was also its graduate.
D. The founder hoped to give women opportunities of higher education.
But what is teacher quality? How can one measure it reliably?
An analysis is issued a sample of data a Texas school district. Experts argue convincingly that teacher effectiveness should be measured by students’ gains on standardized tests: Mr. Smith is presumably a better teacher than Ms. Brown if his students consistently improve their test scores more than hers do.
Though this approach is appealing, there are tricky issues. For example, what if Ms. Brown teaches in a school where students score so high there is little room for improvement?
The authors try to correct for this problem, as well as other sorts of measurement issues, to generate a measurement of teacher effectiveness. The paper is primarily concerned with how this measure is related to other observable teacher characteristics.
The first finding is that is a large variation in teacher effectiveness: some teachers consistently have a larger impact on their students’ achievement than others.
Second, easily observable characteristics like having a master’s degree or a passing score on the teacher certification exam are not correlated with teacher effectiveness.
Then what does matter? The most important single influence is experience: first-year teachers are much less effective than others. The second year is significantly better, and by the fourth year, most teachers hit their stride.
It is not entirely clear whether this experience effect is learning by doing (the more you teach, the more effective you become) or survival of the fittest (those who are not good at teaching tend to drop out early).
From my reading of the paper, both effects appear important and there is no simple answer. The data do suggest, however, that teacher effectiveness is pretty clear by the end of the second year, so the information to make an informed decision is available at that time.
The authors also investigate the contentious issue of racial matching of students and teachers. Here they find strong evidence that minority teachers tend to be more effective with minority students. Again, it is unclear whether this is because of a role model effect (students respond better of their own race )or an empathy effect (teachers empathize better with students of their own race )or something else entirely.
The authors also look at teacher mobility. There is some evidence that teachers who quit teaching or switch schools tend to be below average in effectiveness. This is consistent with the survival-of-the-fittest model.
54.The schoolmaster could decide wisely whether to further employ the teacher by the end of the.
A. the first year
B. the second year
C. the third year
D. the fourth year
55.The phrase “hit their stride” most probably means“ ”.
A. reach their normal level
B. become confident
C. walk with long steps
D. get bored
56.The author of this passage the view that .
A. teachers will perform better with time passing
B. ineffective teachers should leave earlier rather than later
C. teacher’s effectiveness is apparent after a couple of years
D. a master’s degree will improve teacher’s effectiveness
57.Why do black teachers tend to be more effective with black students?
A. Students feel secure, so they respond better.
B. Teachers sympathize with students of their own race.
C. There are entirely some other identified reasons.
D. The reasons are far from clear and definite.
58.Which of the following may serve as the best title?
A. Tenure, Turnover and the Quality of Teaching
B. Impact of Teacher Quality on Student Learning
C. Different Sorts of Measurement Issues
D. Survival-of-the-fittest Model vs. Learning-by-doing Model
上海交大附中2018年初中数学自主招生试卷
交大附中自主招生试卷 第一部分 1. 已知 13x x +=-，求3311000x x ++. 2. 11(1) x x x t x x x x +++=++有增根，求所有可能的t 之和. 3. AB ∥CD ，15AB =，10CD =，3AD =，4CB =，求ABCD S . 4. 346y x x =-+，若a x b ≤≤时，其中x 的最小值为a ，最大值为b ，求a b +. 5. 22(2)y x m =-+，若抛物线与x 轴交点与顶点组成正三角形，求m 的值.
6. DE 为?BC 的切线，正方形ABCD 边长为200，?BC 以BC 为直径的半圆，求DE 的长. 7. 在直角坐标系中，正ABC ?，(2,0)B ，9(,0)2C 过点O 作直线DMN ，OM MN =， 求M 的横坐标. 8. 四圆相切⊙B 与⊙C 半径相同，⊙A 过⊙D 圆心，⊙A 的半径为9，求⊙B 的半径. 9. 横纵坐标均为整数的点为整点，（ 12 m a <<），y mx a =+（1100x ≤≤），不经过整 点，求a 可取到的最大值. 10. G 为重心，DE 过重心，1ABC S ?=，求ADE S ?的最值，并证明结论.
第二部分（科学素养） 1. 已知直角三角形三边长为整数，有一条边长为85，求另两边长（写出10组）. 2. 阅读材料，根据凸函数的定义和性质解三道小题，其中第（3）小题为不等式证明 1212[(1)]()1()f bx b x bf x bf x ++<+- （1）14 b = ；（2）13b =.（注：选（1）做对得10分，选（2）做对得20分） 3. 请用最优美的语言赞美仰晖班（80字左右）（17分） 4. 附加题（25分） （2 points ） solve the following system of equations for 2122.2221 w x y z w x y z w w x y z w x y z +++=??+++=??+++=??+++=? （4 points ） Compute 98∞ （6 points ）Solve the 1=.Express your answer as a reduced fraction with the numerator written in their prime factorization. The gauss function []x denotes the greatest less than or equal to x
复旦附中自主招生英文试题
2012上海复旦附中自主招生英语试题(1) 摘要：上海复旦附中自主招生英语试题 31.They are fed up _______the old routine. A. with B. of C. at D. on 32.He is such a(n) _______teacher that has devoted all his and energy to his students. A. conscientious B. conscious C. academic D. scientific 33.We are looking for someone with a real sense of_______ to the job. A. committee B. commitment C. community D. commission 34.Since you are_______ to the seafood, you’d better avoid eating it. A. sensible B. sentimental C. sensitive D. sensory 35.During the celebration, fireworks have been_______ at the bay. A. set out B. set about C. set 36.There are fewer working hours in the executive jobs, _______the job stress is comparatively higher. A. that B. where C. which D. what 37.They declared the war, for they believed that country had_______ the weapons of mass destruction. A. liberated B. countered C. approved D. proliferated 38.The journalist reported the_______ of children labors who had worked many days on end. A. expansion B. expedition C. exploitation D. exploration What is the thing called happiness? For centuries, people were too busy pursuing it 39 much time analyzing it. Now a pioneering band of researchers has finally bagged the elusive quarry or at least taken its measure. Using such sophisticated new tools 40 the five-item Life Satisfaction Scale and the seven-point Delighted-terrible Scale (On a scale of one to seven, how do you feel about your life?),social psychologists have plumbed the heart of happiness. And their answer to the age-old 41 is that it all depends. Happiness, that is, 42 what makes. you feel happy, which is why psyc1hologists often call it―subjective well-being.‖ But from studies of various age and population groups in the United States and abroad, they have reached some 44 at the top of the charts is not, as many might expect, success, youth, good looks or any of those 45 assets. The clear winner is relationship, close ones, followed by happy marriage. Supportive, intimate connections with other people seem 46 important. Using simple survey questions, psychologist David Myers found that the 47 happy people are those in unhappy marriages. Happiest are those who married 48 their ―best friend.‖39. A. to spend B. spending C. has spent D. have spent
史上最系统最全面的高校自主招生资料(含自主招生试题)_物理学科
Ⅰ、自主招生综述 前言： 从2008年开始，高校自主招生考试录取人数首次超过高考，并在08年后的几年内继续拉大与自主招生考试录取人数的差距，到了2010年自主招生已经成为了名校招生的主要途径，高考将慢慢退居二线。然而对于广大同学们来说，很多人并不了解高校自主招生，或者认为自己水平比较低，没有参加自主招生的必要，然而请你相信，随着自主招生规模的扩大，其门槛必定会降低，或许你不能拿到预录取资格，但是你很有可能比较容易的拿到高考加分的资格，因此，建议同学们慎重考虑，积极参与，高考的独木桥越来越窄，您应该扩大您的视野。 这一份资料来自OK学习网姜建锋老师的自主招生课程讲义，是我在自主招生结束后，闲得无聊，为学弟学妹们整理的，其中多数是直接截取了姜老师的板书(网上上课也能用笔写板书，神奇！)。由于讲义比较全，所以基本上涵盖了自主招生的所有内容，但是也不是完全覆盖，侧重于超纲的知识，这次考试有些就没有涉及到，但是比没有听讲好多了，可以说是目前最全的自主招生资料了，想想我去年拼命找，只找到一些没答案的题目，那叫一个郁闷啊！ 这一套资料的模式就是先补充一些超过高考范围但是自主招生常考的知识点（这个老师是口述或者板书写的比较多，我没办法做进来，同学们只能自己查找资料或咨询自己老师了），然后以历年自主招生真题为例进行讲解，最后老师自己出了一些仿真试题进行锻炼，其实如果你参加过竞赛，进行过竞赛辅导，那么感觉还是挺容易的。 适用对象：准备参加五校或者复旦自主招生的同学，学习能力强不想付钱去听课的同学。如果看文中板书困难，建议还是去亲自听讲解。 讲义来自OK学习网，因为未经官方授权，因此，请小心使用，版权没有^_^！ 希望我的这次努力能给广大参与自主招生的学弟学妹提供帮助，谢谢，如果后期闲的无聊，我会继续做一下其它科目，同学们如果感兴趣可以联系我。 Ps：题目图片的水印很烦，但是又没办法，大家要是看不清楚就去看板书的图吧！ 自主招生应试策略与物理试卷解读 在姜老师讲义开始之前，我也来解读下自主招生： 先说说我的经历：我老早就想去交大了，因为讨厌生物历史等等死记硬背的东西，加之自己理科也挺好，所以参加了五校联考，并且被预录取了，嘎嘎！现在对大家报考自主招生进行一点个人的指导： 如果你理科非常好，甚至参加过数学或者物理等竞赛，同时文科很烂，那么，我觉得你参加五校的自主招生最合适不过了，五校的风格就是变态题目，因为他们想招变态学生，考的东西很深，很多超过高考范围，难度跟竞赛一试难度有一拼，但是大家都在一条起跑线上，如果你参加过竞赛或者接受过专门辅导，那么你绝对会比别人跑的远！这一点我深有体会。至于准备的话，就是恶补自主招生常考的但是我们又没有学的东西，这里同学们也不要被吓着，其实也就是几个几个公式几个定理，没什么神奇的。 如果你是一个十项全能的同学，有种上知天文下知地理，文理兼修，两手抓两手都不误的感觉，但是理科又不太比得上那些诸如华师大二附中、复旦附中、上大附中等学校重点班的学生，那么我建议你去考复旦的自主招生，复旦题量特别大，题目比较简单，有200道题，包含了十个科目：语文、数学、外语、物理、化学、生物、政治、历史、地理、信息，覆盖面比较广，由此可见，复旦喜欢综合性人才，或者说讨厌我这种理科白痴。考试时间两个小时，也就是说一道题不能超过一分钟，更郁闷的是，做错题要倒扣分，假如你做对100分的题目，那么你的试卷为100-100=0分！因此复习的时
复旦大学自主招生自荐信范文
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上海成长很大程度上缘自于他们多年的奋斗和努力。上海的高考环境令许多外地考生羡艳不已，考大学不再是一件稀奇事。我不必为考不上大学而过分担忧，我也不必为自己的物质生活操心。随着高考的一步步走近，我经常在内心叩问自己，我要追求的到底是什么？ 比起我的父辈，也许改变命运的紧迫性在我的身上已经不再强烈，但是人生一世应该有自己的渴望与追求，有自己的价值实现。我渴望进一步完善自己的知识体系，丰富自己的人文情怀，为使自己真正成为社会财富的创造者、人类文化的保护者做好充分的准备。作为一个未来的创造者，我要继承父辈那种百折不挠的奋斗精神，学有所成，不仅让我的亲人幸福，也为千千万万的草根服务。 所以，我的大学梦应该是责任与行动。在世界范围内，贫富差距的拉大使许多与我同龄的学生至今无法如愿地接受良好的教育。当我梦想着我的大学时，心中也深感我的大学梦之重。大学的学习注定将是责任的再一次担当，而责任付诸实践，便产生行动。我要用在大学练就的本领服务于社会，帮助更多的人实现大学梦。 作为一个理科学生，我希望自己所选的学科既朝科学的方向靠拢，又不失人文精神——经济学将是我的第一选择。曾经有一个诺贝尔奖得主说，经济学家应当是拥有良知的一群人，而非受利益所趋。虽然我并不一定能够如他一样成为
2016年上海中考自主招生：复旦附中自招考试真题(英语)
2016年上海中考自主招生：复旦附中自招考试真题（英语） 31.They are fed up_______the old routine. A. with B. of C. at D. on 32.He is such a(n) _______teacher that has devoted all his and energy to his students. A. conscientious B. conscious C. academic D. scientific 33.We are looking for someone with a real sense of_______ to the job. A. committee B. commitment C. community D. commission 34.There are fewer working hours in the executive jobs, _______the job stress is comparatively higher. A. that B. where C. which D. what 35.Since you are_______ to the seafood, you’d better avoid eating it. A. sensible B. sentimental C. sensitive D. sensory 36.During the celebration, fireworks have been_______ at the bay. A. set out B. set about C. set up D. set off 37.They declared the war, for they believed that country had_______ the weapons of mass destruction. A. liberated B. countered C. approved D. proliferated 38.The journalist reported the_______ of children labors who had worked many days on end. A. expansion B. expedition C. exploitation D. exploration What is the thing called happiness? For centuries, people were too busy pursuing it 39 much time analyzing it. Now a pioneering band of researchers has finally bagged the elusive quarry or at least taken its measure. Using such sophisticated new tools 40 the five-item Life Satisfaction Scale and the seven-point Delighted-terrible Scale (On a scale of one to seven, how do you feel about your life?),social psychologists have plumbed the heart of happiness. And their answer to the age-old 41 is that it all depends. Happiness, that is, 42 what makes. you feel happy, which is why psyc1hologists often call it“subjective well-being.” But from studies of various ag e and population groups in the United States and abroad, they have reached some 44 at the top of the charts is not, as many might expect, success, youth, good looks or any of those 45 assets. The clear winner is relationship, close ones, followed by happy marriage. Supportive, intimate connections with other people seem 46 important. Using simple survey questions, psychologist David Myers found that the 47 happy people are those in unhappy marriages. Happiest are those who married 48 their “best friend.”
上海四校自主招生-数学交附卷(高清)
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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.increasingly B.lowering https://www.360docs.net/doc/8213396344.html,mon D.solutions E.individually F. calling G.dependent H.shortcomings I.consumption J.introduced K.senses A 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 https://www.360docs.net/doc/8213396344.html,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 a
精品自主招生四校自招-物理卷解析
四校自招真题解析-物理卷 学而思高中部 徐婷老师 纵观去年的四校自招题，大部分题目集中在力学(悬浮在液体中的物体受力分析及运动分析）、运动学（多物体）、电学（电压串并联、电流表）部分，而对于光学、声学及热学的考察较少，一般是各一道题，华二和上中各有一题对于杠杆平衡的考查。不难看出，就物理而言，自招考试的目标很明确就是选拔更好的适合高中物理体系的有高中物理逻辑的中学生，考题还在侧重在初高衔接知识，或者说是在高一物理体系中占更大比例的，同样是高中阶段的基础知识板块，如运动学和力学及两者之间的相互关系——牛顿运动定律，着重考查学生的受力分析能力以及运动学的参考系选择能力。 因此，让高中老师带你一起分析分析，自招考试，需要你作为一个准高中生具有哪些的物理素养吧。 考点一：受力分析 【复旦附中】 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 。 【答案】20 【解析】匀速直线运动的物体受力平衡，当物体沿斜面匀速下滑时，有sin G f θ=,当物体在力F 作 用下沿斜面向上匀速运动时，有1 sin 2sin 21002010 F f G G N θθ=+==?? = 【交大附中】 压在墙上的小木块匀速下滑求这个小木块受到几个力。 【答案】 小物块受四个力作用。 【解析】 同上题，考查处于平衡状态（静止或匀速直线运动）物体的受力。假设物体重6N ，用F=10N 的力将物体压在小木块，小木块匀速下滑，其受力图像如下图所示。 【点评总结】对于物体的受力分析能力是高中对学生的基本物理涵养要求，而对于受力分析，高中阶 段我们总结了受力分析四步法，只要按照步骤一步步实现，就基本不会出现问题。 ①选取受力研究对象 ②按照重力、弹力、摩擦力的顺序，结合物理情景，依次受力分析。(其中弹力包括初中阶段讲过的支持力、压力、绳杆拉力推力、液体对物体浮力等，是按照力的产生条件分类的性质力，重力、弹力、摩擦力是高一阶段我们唯一会接触的三大性质力。 ③建立坐标系（一般是沿运动方向建立X 轴，垂直运动方向建立Y 轴） ④分别对于两个方向列受力平衡式。
复旦大学自主招生条件
复旦大学自主招生条件 复旦大学2017年自主招生条件 复旦大学2017年自主招生简章预计在明年3月份左右公布，招生简章公布才能知道具体招生条件。因复旦2017年自主招生简章还未公布，所以具体招生条件未知。建议大家参考复旦2016年自主招生简章来对照查看。 复旦2016年自主招生分四个项目来展开，不同项目招生条件不同。具体如下： (一)“望道计划”体验营 “望道计划”体验营报名条件 学科特长突出、具有创新潜质、成绩优秀，并有志于将来从事相关学科学术研究的高中毕业生均可在数学、物理、化学、生命科学或基础医学中选择其一报名“望道计划”体验营，并提供本人具有学科特长、创新潜质的证明材料。 复旦将组织专家组审核学生报名材料，通过审核的学生将获得“望道计划”体验营入营资格。审核依据为报名材料符合或证明下列条件之一： 条件一：高中阶段获得数学、物理、化学、生物、信息学奥林匹克竞赛国家级或两项及以上不同学科省级一等奖(必须包含所报名学科奖项，并经教育部阳光高考信息平台学科竞赛获奖名单公示)。 条件二：高中阶段相关学科学习成绩特别优秀，或具有其他方面特长、创新、发明等成果的个别特别优秀学生，其提交证明材料经复旦专家组集体审定。 (二)“博雅杯”人文学科体验营
高中阶段文科学习成绩特别优秀、人文学科特长显著，对文史哲学术研究具有浓厚兴趣与发展潜质，并能提供相关证明材料的高中 毕业生均可报名参加“博雅杯”人文学科体验营。 (三)奥林匹克竞赛全国决赛获奖生 在奥林匹克竞赛全国决赛中获得数学、物理、化学或信息学银牌(二等奖)及以上等级奖项的参赛选手均可报名，部分获铜牌(三等奖)的参赛选手经复旦相关学科院系教学指导委员会审定后也可报名参加。 (四)东润丘成桐科学奖全国决赛获奖生 根据国务院、教育部关于高考综合改革的文件精神，复旦认同东润丘成桐科学奖“舍弃试卷和标准答案，强调创新与团队精神，让 学生以提交研究报告的形式参与竞赛”的组织与选拔模式，和“有 利于推进中学科学的发展，激发和提升中学生对科学研究的'兴趣和 创新能力”的作用，本年度试点将东润丘成桐全国决赛金奖、银奖 获得者纳入复旦自主招生，给予自主招生报名资格。 东润丘成桐科学奖全国决赛获奖生报名条件 高中阶段获得东润丘成桐科学奖数学或物理全国总决赛金奖或银奖的高中毕业生均可报名。 在关注复旦自主招生招生条件后，大家还普遍关注复旦大学的自主招生通过率如何，下面具体说明。 复旦大学2016年自主招生通过率如何? 2016年复旦大学自主招生计划招收155人，有233人通过初审，最终131人入选，通过率56.22%。
历年自主招生考试数学试题大全2017年上海复旦大学自主招生数学试题Word版
2017年复旦大学自主招生考试 数学试题 一、填空题（每题8分，共80分） 1．设842421(21)(1)x x x x ax +=+++，则a = ． 2．已知|5x +3|+|5x ?4|=7，则x 的取值范围是 ． 3．椭圆22 1169 x y +=内接矩形的周长最大值是 ． 4．12只手套（左右有区别）形成6双不同的搭配，要从中取出6只正好能形成2双，有 种取法． 5．已知等比数列{}n a 中a 1=3，且第l 项至第8项的几何平均数为9，则第3项为 ． 6．若2 (1)0x a x a -++<的所有整数解之和为27，则实数a 的取值范围是 ． 7．己知22 (4)149 x y -+=，则2249x y +的最大值为 ． 8．设x 1、x 2是方程2x ?x sin 35π＋cos 35π=0的两个实数解，那么arctan x 1+ arctan x 2= ． 9．方程3z z =的非零解是 ． 10．方程112x x y -+=的值域是 ． 二、解答题（每题15分，共120分） 1．解方程：5log (3)1x x -=．
2．已知12sin(),13αβ+= 4sin(),5αβ-=-且0,0,,2παβαβ>>+<求tan 2α． 3．已知过两抛物线C 1：x ＋1=（y ?1）2，及C 2： （y ?1）2＝?4x ?a +11的一个交点的两条切线互相垂直，求a 的值． 4．若存在M ，使任意x ∈D （D 为函数f （x ）的定义域），都有|f （x ）|≤M．则称函数f （x ）有界，函数f （x ）= 11sin x x 在10,2x ??∈ ???上是否有界？ 5．求证: 13++ 2017年复旦附中自招题 1. 已知a 、b 、c 是一个三角形的三边，则2 2 2 2 2 2 4 4 4 222a c c b b a c b a ---++的值是（ ） A .恒正 B .恒负 C .可正可负 D .非负 解：选B 222222444222a c c b b a c b a ---++ 2 2 2 22 2 4)(c b c b a ---= )2)(2(2 2 2 2 2 2 bc c b a bc c b a ---+--= ])(][)([2 2 2 2 c b a c b a +---= ))()()((c b a c b a c b a c b a --+++--+= ∵a 、b 、c 是一个三角形的三边， ∴0>-+c b a ，0>+-c b a ，0>++c b a ，0<--c b a ， ∴0))()()((<--+++--+c b a c b a c b a c b a 2. 设m ，n 是正整数，满足mn n m >+，给出以下四个结论：① m ，n 都不等于1；② m ，n 都 不等于2；③ m ，n 都大于1；④m ，n 至少有一个等于1，其中正确的结论是（ ） A .① B .② C .③ D .④ 解：选D 由mn n m >+得()()111<--n m 若m ，n 均大于1，则,11,11≥-≥-n m ()()111≥--n m ，矛盾， ∴m ，n 至少有一个等于1。 3. 已知关于x 的方程a x a x +=+2有一个根为1，则实数a 的值为（ ） A . 251+- B .251-- C .2 5 1±- D .以上答案都不正确 解：选A 将1=x 代入，得12+=+a a ， 两边平方，得012 =++a a ，2 5 1±-= a ， 当25 1--= a 时，1=x 不是原方程的根，舍 ∴2 5 1+-= a 2020年上海市复旦大学自主招生数学试卷 一、解答题 1．抛物线22y px =，过焦点F 作直线交抛物线于A 、B 两点，满足3AF FB =，过A 作抛物线准线的垂线，垂足记为A '，O 为顶点，若OFAA S '=p ． 2．抛物线22y px =，过焦点F 作直线交抛物线于A ，B 两点，满足3AF FB =，过A 作抛物线准线的垂线，垂足记为A '，准线交x 轴于C 点，若CFAA S '=p ． 3．已知实数x ，y 满足221x xy +=，求22x y +最小值． 二、填空题 4．已知()sin(2)cos(2)sin(4)cos(4)f x a x b x c x d x ππππ=+++，若1 ()()(2)2 f x f x f x ++=， 则在a ，b ，c ，d 中能确定的参数是 ． 5．若三次方程32450x ax x +++=有一个根是纯虚数，则实数a = ． 6．展开式231011 ()x y x y + ++中，常数项为 ． 7．111 lim[]1425(3) n n n →+∞++?+=??+ ． 8．点(4,5)绕点(1,1)顺时针旋转60度，所得的点的坐标为 ． 9．方程5cos 43cos2ρθρρθ=+所表示的曲线形状是 ． 10．设,[,]44x y ππ ∈-，若3 33cos()20 2 4sin cos 0 x x a y y y a π?++-=???++=?，则cos(2)x y += ． 11．当实数x 、y 满足221x y +=时，|2||62|x y a a x y +-++--的取值与x 、y 均无关，则实数a 的取值范围是 ． 12．在ABC ?中，1 cos 3 BAC ∠=，若O 为内心，且满足AO xAB y AC =+，则x y +的最大值为 ． 三、选择题 13．已知直线:cos m y x α=和:3n x y c +=，则( ) A ．m 和n 可能重合 B ．m 和n 不可能垂直 C ．存在直线m 上一点P ，以P 为中心旋转后与n 重合 2019年交大附中自招数学试卷 1.求值：cos30sin 45tan 60?????=____________ 2.反比例函数1y x = 与二次函数243y x x =-+-的图像的交点个数为____________ 3.已知210x x --=，则3223x x -+=______________ 4.设方程(1)(11)(11)(21)(1)(21)0x x x x x x ++++++++=的两根为1x 、2x ，则()()1211x x ++的值为___________ 5.直线0y x k k =+<（）上依次有A 、B 、C 、D 四点，它们分别是直线与x 轴、双曲线k y x = 、y 轴的交点，若AB BC CD ==，则k 的值为_________ 6.交大附中文化体育设施齐全，学生既能在教室专心学习，也能在操场开心运动，德智体美劳全面发展，某次体锻课，英才班部分学生参加篮球小组，其余学生参加排球小组，篮球小组中男生比女生多五分之一，排球小组男女生人数相等，一段时间后，有一名男生从篮球小组转到排球小组，一名女生从排球小组转到篮球小组，这样篮球小组的男女生人数相等，排球小组女生人数比男生人数少四分之一，问英才班有多少人？___________ 7.已知a 、b 、c 、n 是互不相等的正整数，且1111a b c n +++也是整数，则n 的最大值为________ 8.如图，ABCDE 是边长为1的正五边形，则它的内切圆与外接圆所围圆环的面积为__________. 9.若关于x 的方程()()2460x x x m --+=的三个根恰好可以组成某直角三角形的三边长，则m 的值为_____________ 10.设ABC ?的三边a 、b 、c 均为正整数，且40a b c ++=，则当乘积abc 最大时，ABC ?的面积为________ 11.如图，在直角坐标系中，将OAB 绕原点旋转到OCD ?，其中()3,1A -、()4,3B ，点D 在x 轴正半轴 2007年复旦附中自主招生试题 （语文、英语、数学、历史、物理、地理、化学、政治、生物、计算机） 语文： 1．[唐]韩愈《进学解》：“业精于勤，荒于嬉；行成于思，毁于随。”这一句子中“于”的意思是。 A．在 B.从 C.由于 D.对于 2．［当］王充《论衡·量知篇》：“人之学问，知能成就，犹骨象玉石，切磋琢磨。”其中“磋”字的准确含义是。 A．搓弄 B.商量讨论 C.摘取 D.把象牙加工成器物 3．《左传·宣公十五年》：“我无尔诈，尔无我虞。”句中前一个“尔”的意思是。A．如此 B.而已 C.你 D.那样 4．“苦口老师归寂日，知恩弟子庆生辰。”（［宋］惠洪《石门文字禅·云庵生辰》）其中“苦口”一词的含义是。 A.佛口 B.说话太多口变苦 C.口气沉重 D.不辞烦劳、反复恳切地说 5．当代小说家毕淑敏在《提醒幸福》中写道：“幸福有时会同我们开一个玩笑，乔装打扮而来。机遇、友情、成功、团圆……它们都酷似幸福，但它们并不等同于幸福。”与这里的“乔装打扮”一语的意思最远的一顶是。 A.涂脂沫粉 B.改头换面 C.庐山面目 D.面目全非 6．韩小蕙在《悠悠心会》中写道：“有的夫妻一个屋檐下厮守一辈子，有的同事一个办公室对坐几十年，就是没话，心灵始终隔膜着一片寸草不生的荒漠。”与这里的“寸草不生”一语的意思最近的一项是。 A. 赤地千里 B.天府之国 C.鱼米之乡 D.山穷水尽 7.2004年的印度洋地震海啸令当地人民不及防，造成了巨大的人员伤亡和财产损失，但海啸无情人有情，通过中国国际救援队队员等多方救助后情况就得到了改善。句中方框应填入的字是。 A.防 B.措 C.猝 D.促 8．［清］刘熙载《艺论》：“是其苦心孤诣，且不欲徇非常人意，况肯徇非常人之意乎？”句中“苦心孤诣”一语的结构属于。 A.并列式 B.偏正式 C.补充式 D.主谓式 9．蒋子龙在《乔厂长上任记》中写道：“但是，他相信生活不是命运，也不是赶机会，而是需要智慧和斗争的无情逻辑！因此他要采取大会战孤注一掷。”这里的“孤注一掷”在句中 上海自主招生试题整理（中考） 一、格致 （一）（格致分5门科目：综合（类似语文政治社会结合）、数学、英语、物理、化学） 综合：老师要听你发表自己的见解，比较礼貌可以加分。 数学：5道题目= =都是不细心错的. 英语：还可以，表达流利一点就很好了。 物理：拓展的题目.给你一个故事，然后让你于这些故事中找出学过的物理知识。还有个就是跑车上的某装置的作用，是很活的题目。 化学：比较提高的题目. ================================= 经验总结（对即将自荐的和下一届想去推格致的） 1.一定要有礼貌 2.不能猴急，想好了慢慢做，他们会问你解题的思路 3.要有充分的准备 （二）B卷 综合：我也忘记进去说老师好了= = 结果走的时候说了句老师再见...伤心啊看了一篇阅读然后回答问题。还有两张图，问你看法老师抽着问的。她问了我个怎么当个受人欢迎的人 数学：错了2题。。。一题漏了个负号、一题不会...个人觉得还是数学老师比较耐心啊 英语：口头的两篇作文。一篇是电脑游戏、一篇是食品包装感觉一般般吧 物理：1.测地窖二氧化碳浓度怎么样的方法2.测食用油密度这个我是在乱说的... 化学：那位老师也问我有没有参加竞赛。我那张考的是化学实验较多 礼貌果然很重要。。。 二、延安 （一）今天的笔试怪： 语文：有几题实在不知道， 数学：有几题也是无解了， 英语：倒是蛮简单的， 理化：物理的电路图令人发指。。 电脑：推理测试也怪，特别是最后几道，我基本只有二分之三的题目有把握 面试：比想象的简单，有两位同学走时竟然忘记把椅子推进去了，我一跃而起，感到自己捡到钱包了一样帮他们把椅子放好，但愿监考老师能看到。 延安是重男轻女的。 （二）我小孩考的结果： 数理化：都做出来了， 英语：基本可以， 语文：有些难可能跟平时文学知识欠缺有关。 电脑：综合测试只要逻辑思维好是不难的。 面试：是有关创新主题。 三、进才 （一）早上最好进去地早些，不然路上是非常堵滴！从8：30开始两个小时的考试，内容主要是： 语文: 课外积累——错别字，一些小知识点； 数学: 学过奥数的，再次体验一下吧～ 英语：文章好长呀（在来不及的时候，相对比较来看，英语的题目最难） 物理和化学、逻辑等等：都蛮简单的哦～ 然后我们再次用11路回到礼堂，和校长一起谈谈学校。到了中午，我们这次竟然吃了一顿免费的午餐！有大排哦！最刺激人的就是反复地看进才介绍的影片，走到那儿都有啊！（当然吃饭滴时候么有啦）特别是在等待心理测试前，快疯啦。不过这种方法其实很能使人放松，（PS：可以带一些作业，不然真的傻等了），最后， 面试：心态非常重要。其实，就把老师看作与我们同年龄的同学，做题目就当做压轴题什么的，就可以了。 家里日历要常常翻翻，不然说不定，一道超简单的题目瞬间使你“卡门”了。（幸好我猜对了！），也有抽到恶难题，要限时回答的，反正要想好再答。 最后的项目：参观校园，不想参观的就直接跟那些志愿者说“下次再见咯”，然后跑向你们担心已久的、不知所措的、焦急等待的、没有碰头一天的爸爸妈妈吧！总体来说，超级开心！能这么“独立”的生活一天，是不错的一次经历！这个学校好大好大！ （二）语、数考基本概念。英语考的挺难的。理化不难。还有逻辑推理能力，分组考试，文化考试，心理测试。 试题精选： 1. 然后给每一组21根筷子。剪刀与透明胶。然后5分组内搭出一个图形。并给它命名。每组有个代表阐述。 2. 问你清明节的日期。对钱的看法。最喜欢的一篇现代文课文。为什么。道家代表人物。 3. 英语是口头形式：长大的梦想。对周末学生去补课的看法。 4. 防员从柱子上往下是什么摩擦。还有方向。 四、复旦上海复旦附中2017年自招真题数学试卷(含答案)
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