2011年华师大二附中自主招生试题

合集下载

【自招】2004-2015年上海自主招生数学试题

6
2011 年华师二附自主招生数学试题及答案
一、填空题（每题 4 分） 1. 已知关于 x 的多项式 ax7 bx5 x2 x 12 （ a 、 b 为常数），且当 x 2 时，该多项式的值为 8 ，则当 x 2 时，该多项式的值为__________．
2. 已知关于 x 的方程 x2 a 2 x a 1 0 的两实根 x1 、 x2 满足 x12 x22 4 ，则实
15. 某养鱼户为了估计鱼塘内鱼的条数和重量，先网出 100 条鱼，做上标记后全部放回
鱼塘，过些时候捕捞出 90 条鱼，发现其中有 4 条鱼带有标记，估计该鱼塘内养鱼
约有_________条．
16. 如图，四边形 ABCD 中， ADC 和 ABC 都是直角，
D
DE 垂直于 AB ， AD 边与 CD 边长度相等．已知四边
C 形 ABCD 的面积为 16 ，那么线段 DE 的长度是
_________． A
17. 在 ABC 中， D 为 BC 的中点， E 为 AD 的中点，如
果延长 BE 交 AC 于 F ，那么 AF : FC ________．
E
B
第 16 题
18. 如图， ABC 中，已知 AB AC ， DEF 是 ABC 的内接正三角形， BDF ，
圆括号内），一律得零分．
1
1.
计算
3
4
3
9 2
32

1 9

2
，得（）
A． 11 9
B． 1
C． 5 9
D． 1 9
2. 如果 a b ，那么下列结论正确的是（）

华二初中自招培优讲义之自招真题试卷

自主招生数学试题5一、选择题（每小题6分，共计36分） 1、方程2681x x -+=实根的个数为（）A 、1个B 、2个C 、3个D 、4个2、某班进行一次标准化测试，试卷由25道选择题组成，每题答对得4分，不答得0分，答错扣1分，那么下列分数中不可能的是（）A 、95B 、89C 、79D 、75 3、已知二次函数2y ax bx c =++的图象如图所示，则下列6个代数式：ab 、ac 、a b c ++、a b c -+、2a b +、2a b -，其值为正的式子的个数是（）A 、2个B 、3个C 、4个D 、5个4、两个相同的瓶子装满酒精溶液，在一个瓶子中酒精与水的容积之比是:1p ，而在另一个瓶子中是:1q ，若把两瓶溶液混合一起，混合液中的酒精与水的容积之比是（）A 、2p q +B 、22p q p q++ C 、2pq p q + D 、22p q pq p q ++++ 5、已知直角三角形有一条直角边的长是质数n ，另外两条边长是两个自然数，那么它的周长是（）A 、21n +B 、21n -C 、2n n +D 、2n n - 6、如图，ABC ∆中，AB AC =，40A ∠=，延长AC 到D ，使CD B C =，点P 是ABD∆的内心，则BPC ∠=（）A 、145B 、135C 、120D 、105二、填空题（共6小题，每题6分，共36分）7、设直线(1)10kx k y ++-=与坐标轴所构成的直角三角形的面积是k S ，则122008...___________S S S +++=。

8、已知方程121011x x x x m -+-+-+-=无解，则实数m 的取值范围___________。

9、已知11x x -=，则242____________20071x x x =++。

10、如图，电路中有4个电阻和一个电流表A ，若没有电流通过电流表A ，问电阻器断路的可能情况共有______________种。

华东师范大学第二附属中学自主招生考试语文试题

华东师范大学第二附属中学自主招生考试语文试题一、默写（10分）1. 黑发不知勤学早， _______________________。

（颜真卿《劝学》）2. _____________________，红泥小火炉。

（白居易《问刘十九》）3. 为人性僻耽佳句， _____________________。

（杜甫《江上值水如海势聊短述》）4. _____________________，吹面不寒杨柳风。

（志南《绝句》）5. 桐花万里丹山路， _______________________。

（李商隐《韩冬郎即席为诗相送》）二、填空（22分）6. 作品作者朝代吕不韦吴敬梓《步出夏门行》7. 《人间喜剧》的作者：______________； 8. “不肖”的古义：______________；9. 鲁迅的第一部现代小说：______________。

10. 2012年诺贝尔文学奖授予作家____________，他成为有史以来首位获得诺贝尔文学奖的中国籍作家。

三、文言文阅读（24分）雷州盗记雷于粤为最远郡。

崇祯初，金陵人某，以部曹出守。

舟入江遇盗。

知其守也，杀之，并歼其从者，独留其妻女。

以众中一最黠者为伪守，持牒往，而群诡为仆人，莫能察也。

抵郡逾月，甚廉干，有治状，雷人相庆得贤太守，其寮属及监司使，咸诵重之。

未几，太守出示：禁游客，所隶毋得纳金陵人只履；否者虽至戚必坐。

于是雷人益信服新太守乃能严介若此也。

亡何，守之子至，入境，无敢舍者。

问之，知其禁也，心惑之。

诘朝，守出，子道视，非父也；讯其籍里名姓，则皆父。

子悟曰：“噫！是盗矣。

”然不敢暴语，密以白监司使。

监司曰：“止，吾旦日饭守而出子。

”于是戒吏：以卒环太守舍，而伏甲酒所。

旦日，太守入谒。

监司饮之酒，出其子质，不辨也。

守窘，拟起为变，而伏甲发，就坐捽之。

其卒之环守者，亦破署入。

贼数十人卒起格斗，胥逸去，仅获其七。

狱具如律，械送金陵杀之。

于是雷之人乃知向之守非守也，盗也。

2011年华二自主招生英语考试试卷

2011年华二自主招生英语考试试卷--英语学科素养I. Vocabulary and Grammar (每题1分)1. The rescue team found the _______ boy extremely _______, wolves bowling in the woods.A. missing ... scaringB. missed ... scaredC. missed ... scaringD. missing ... scared2. This year an increased number of drivers _______ for speeding.A. have finedB. have been finedC. has punishedD. have been punished3. A couple of decades ago, he _______ Austria and lives there now.A. was to visitB. had gone toC. left forD. arrived in4. This is the Department of Foreign Languages, where we _______ about 80 student a year.A. teachB. educateC. trainD. instruct5. The villager said to the official with great panic that the UFO _______ east to west when hesaw it.A. was travelingB. traveledC. had been travelingD. was to travel6. There was nothing of _______ importance in the annual report.A. specificB. particularC. specialD. peculiar7. Nobody but my father can _______ the handwriting on the yellow envelope which is kept in the safe.A. work outB. look outC. make outD. find out8. Adams hadn't a _______ what the speaker was talking about most of time because the class was in chaos.A. guessB. thoughtC. conceptD. clue9. My cousin Betty is the black _______ of the familyA. cowB. pigC. horseD. sheep10. My father's very quiet too. I _______ him.A. follow with.B. take afterC. look likeD. turn up to be11. I can't get into my apartment because I left the key _______ my door in my car.A. ofB. fromC. onD. to12. It's not far from the village if we take the short _______ through the jungle.A. passB. comerC. turningD. cut13. Not many of them hurt themselves in the accident last night, _______?A. don't themB. didn’t theyC. did theyD. do they14. I can’t describe to you _______ at that moment, when I was first led into a dark room and thentold to sit there for a while.A. what 1 feelB. what did I feelC. what do I feelD. what I felt15. _______ he has limited technical knowledge, the old worker has a lot of experience.A. SinceB. UnlessC. AsD. Although16. Scientists say it may be five or six years _______ it is possible to test this medicine on humanpatients.A. sinceB. afterC. beforeD. when17. In our new society, more and more women are _______ an increasingly important part in oursocialist revolution and construction.A. doingB. makingC. playingD. payingIX. Cloze (每题1分)In colonial(殖民地的) America, medical science was so dangerous that it was often safer to remain sick than it was to be treated for illness. One of the most popular 18 for illness was bloodletting. This 19 cutting a patient's skin and allowing him or her to bleed 20 remove the cause of a disease. Sometimes so much blood was lost that patients would grow 21 and die. Another example of a 22 treatment used in colonial America was "sweating." A patient would be forced to stay in a small, hot room 23 the heaviest clothing and blankets available.Often the heating would Worsen the patient's 24 . The result was extreme weakness, heat exhaustion, and sometimes death. A final 25 that hurt patient more than it helped them was purging. This treatment was based on the idea a 26 was in the body and could be removed by vomiting. Patients would be forced to take a water-like mixture that would 27 them uncontrollably sick to the stomach. With all these treatments, the "cure" was usually worse than the disease.18. A. treatments B. medicines C. poison D. operation19. A. was B. involved C. required D. needed20. A. in order to B. as well as C. so far as D. in addition to21. A excited B. weak C. pale D. painful22. A. useful B. effective C. terrible D. harmful23. A. wearing with B. put on C. covered in D. dressed in24. A. situation B. memory C. temper D. condition25. A. illness B. method C. treatment D. way26. A sickness B. danger C. poison D. problem27. A. make B. do C. force D. letIII．Reading Comprehension (每题2分)(A)Ben Johnson is one of the few men ever buried standing up.As the story goes, King Charles I once made him a promise. The king told the great writer that he would be buried in England's famous Westminster Abbey. But that wasn't all. Johnson could choose any place he liked for his grave.Johnson died in 1637. Then it was found that the spot he had picked was already filled. The ground space left in it was just eighteen inches square. King Charles I kept his words. He had Johnson's coffin placed on its end in the small place. That's the way it would just fit.28. Which probably happened first?A. Johnson picked a place in the Abbey.B. Johnson died.C. Johnson received Charles's promise.D. Johnson told the king of his choice.29. Charles I found out the place filled after _______.A. Johnson's deathB. Johnson's burialC. the reading of Johnson's willD. the year of 163830. Johnson's coffin was placed upright so that it would _______.A. face the westB. look biggerC. take less roomD. reach the floor31. The story shows that Charles tried to _______.A. role Britain wellB. keep his promiseC. learn about artD. write poems and stories(B)Along with jogging and swimming, cycling is one of the best all-round forms of exercise. It can help to increase your strength and energy, giving you more efficient muscles and a stronger heart. But increasing your strength is not the only advantage of cycling. Because you're not carrying the weight of your body on your feet, it's a good form of exercise for people with painful feet or backs. However, with all forms of exercise it's important to start slowly and build up gently. Doing too much too quickly can damage muscles that aren’t used to working If you have any doubts about taking up cycling for health reasons, talk to your doctor and ask his/her advice.Ideally you should be cycling at least two or three times a week. For the exercise to be doing you good, you should get a little out of breath. Don’t worry if you begin to lose your breath. Shortness of breath shows that the exercise is having the right effect. However, if you find you are in pain then you should stop and take a rest.32. The words "Along with" (in Para. 1, line 1) most probably means _______.A. Rather thanB. Except forC. In addition toD. Instead of33. Cycling is good for people with painful back because _______.A. they can avoid putting all their weight on their feetB. they can have some exercise on their backC. they must start slowly and build up gentlyD. they can relieve pain from the back34. The probable result of sudden exercise is that _______.A. you might get a little out of breathB. you will lose your breathC. you can get your muscles hurtD. you' 11 find you are in pain with your heart35. What is the writer's purpose of writing this article?A. To give amusementB. To make commendsC. To give adviceD. To give warning(C)Good health is not something you are able to buy at the drugstore, and you can not depend on getting it back with a quick visit to the doctor when you are sick, either. Making your body last without major problems has to be your own responsibility. Mistreating your system by keeping bad habits, neglecting symptoms (症状) of illness and ignoring common health rules can reduce the best medical care.Nowadays, health specialists promote the idea of wellness for everybody. Wellness means achieving the best possible health within the limits of your body. Some people might prefer a lot of easier exercise to m6re strenuous exercise. While one person enjoys playing seventy-two holes of golf a week, another would rather play the sweaty, competitive games of tennis.Understanding the needs of your own body is the key. Everyone runs the risk of accidents and no one can be sure of avoiding disease. Nevertheless, poor diet, stress, a bad working environment and carelessness can ruin good health by changing your habits or the conditions surrounding you, you can lower the risk or reduce me damage of disease.36. What does the writer imply about good health?A. The best method care maintains good health.B. Good health can not be obtained quickly, once it is lost.C. Good health results only from developing good habits.D. Doctors are responsible for maintaining people's health.37. How can one achieve his wellness?A. One should try to avoid being overweight.B. One should keep fit according to his own condition.C. Easier exercise is preferable.D. Sweaty, competitive games are more helpful.38. What can not people avoid completely according to the passage?A. Accidents and diseaseB. Being sick and overweight.C. Keeping bad habitsD. Changing their habits.39. What can people do to maintain or improve their health according to the passage?A. Change their habitsB. Change their working environmentC. Change their living conditionsD. All of the above.IV. Translations (每题3分)40. 中国的绝大部分城市在广泛地使用移动电话。

上海中考自招真题26套及其答案

四校八大历年自招真题答案目录2013年上中自招试卷2014年上中自招试卷2015年上中自招试卷2011年华二自招试卷2012年华二自招试卷2014年华二自招试卷2013年华二冬令营数学试卷2015年年华二自招试卷2017年年华二自招试卷2013年复附自招试题2014年复附自招试题一2014年复附自招试题二2015年复附自招试题一2015年复附自招试题二2012年交附自招试题2013年交附自招试题2014年交附自招试题2015年交附自招试题2016年交附自招试题2014年七宝自招试题2016年七宝自招试题2016年南模自招试题2016年建平自招试题2017年建平自招试题建平数学培训资料试卷2015年控江自招试题2013年华二冬令营数学试卷1、“帽子函数”的图像如图所示：(1)求此函数的解析式；(2)若有抛物线23(),4y x a a =-+<求它与“帽子函数”图像的交点个数； (3)请试写出一个抛物线解析式，使它与“帽子函数”图像有且只有2个交点，横坐标分别为5722，．【解析】：⑴1,211,12x k x k y x k k x k ⎧≤<+⎪⎪=⎨⎪-+++≤<+⎪⎩⑵0a <时，无交点0a =时，一个交点304a <<时，两个交点 ⑶考虑到34a =时，抛物线234y x =-+与帽子函数交于11,22⎛⎫- ⎪⎝⎭、11,22⎛⎫ ⎪⎝⎭两点，所以可以将234y x =-+向右平移3个单位，即满足条件该抛物线解析式为()2334y x =--+2、在一个8×8的正方形方格纸中，一个角剪去一个2×2的小正方形，问其余部分可否剪成15块“L ”型(如图)纸片，若能剪，给出剪切方法，若不能剪，请说明理由。

【解析】（一道基础的染色问题）如图进行黑白相间染色，那么L 型放入方格纸中，必定可以盖住1个黑格子和3个白格子，或者3个黑格子和1个白格子。

上海中考自招试题

发表时间：编辑：徐婷来源：论坛整理编者按：上海中考自主招生试卷精选[复旦附中]考智慧、测文理知识综合运用能力自主招生题：■说游戏每个人都玩过游戏，从纵向地角度来看，游戏有时代特征，有年龄特点；从横向地角度来看，游戏有益智类、竞技类、休闲类等等.当然，在游戏中，也有一些趣味低下、恶作剧地内容.请谈谈你对“游戏”地思考.题目背后：初三学生特别喜欢这道题目，他们谈杀人游戏、弄堂游戏、等电脑游戏、魔兽世界等网络游戏，甚至有人说出“传承网络游戏”等另类观点.复旦附中副校长吴坚说，出这道贴近生活地题目，就是让学生有话可说，充分发挥出学生各自地个性.■说外语随着全球化时代地到来，作为最古老而又最基本地交流工具，语言地重要性显得日益突出.“英语热”在当前上海中学生中持续升温.你是如何看待“母语”学习与“外语”学习之间地关系地？可不可以借用数学名词或符号来回答这一题目？题目背后：题目出得有点刁难学生，可学生们地回答却充满了智慧.有学生用“正比例函数”指出母语、外语学习地相辅相成，有同学用“条平行线”表达母语、外语学习同样重要，还有同学用“母语学习在底层、外语学习在上层，共同构成圆柱体”，来强调学好母语是学好外语地基础.吴坚说，该题主要考查学生文理知识综合运用地能力.推优题：■学生、家长对于学校地选择热情高涨.小学生要进名气大地中学往往是几十个人争一个位子；在今年地自主招生和推优生招生工作中也可以看到人们对名校趋之若鹜.针对这种现状，请你谈谈进“名校”地利弊.题目背后：该题主要通过学生对进“名校”利弊地辨析，了解学生对于“名校”地定义以及对于自己未来地设计.■总是觉得别人自私地人，通常对待他人也不免有些自私之嫌；总是觉得别人对不起自己地人，自己对别人也未必厚道；总是觉得别人没有趣味地人，自己也通常是令人烦闷地.读了这段话，你有什么感想与启发？题目背后：现代学生大多是独生子女，遇到问题往往只考虑自己地利益，极少考虑他人地感受.该题主要检测学生地自省态度，让学生懂得“你对别人地观感和态度其实很大程度上取决于别人对你地观感和态度”.■向在座地老师和同学推荐一条你最喜欢地“广告词”或“座右铭”，并解释理由.题目背后：该题主要考查学生地鉴赏品位以及关注地兴趣点.■下面是复旦附中地部分选修课程.如果要你选两门课程学习，你选哪两门，为什么？“佛教与传统文化”、“电影艺术欣赏”、“法语入门”、“视听英语”、“生活中地物理（化学）”、“数学提高”、“古希腊神话”、“趣味心理学”、“国际关系探微”、“人体地奥秘”、“网络编程”、“古典音乐欣赏”、“陶艺制作”.题目背后：该题主要通过学生对选修课地选择，来了解学生地爱好、性格以及选课地指导思想.课程选择虽然难度不大，但初三毕业生在谈选择理由时，大多只是泛泛而谈，极少有学生是真正从自己兴趣出发.资料个人收集整理，勿做商业用途[向明中学]引入心理测试看重学生心理稳定性试题精选：、你认为人性是善还是恶？什么是善？生活中有哪些事情可以体现善？、你关心环保吗？你在生活中有哪些保护环境地行动？、对今年月发生在美国校园地枪击案，你有什么看法？、你如何看待大学生就业难地问题，女生比男生找工作难地问题？、你喜欢艺术么？说说你在艺术方面地成就.题目背后：心理健康渐成为现代人对健康地又一重要定义，在今年推优和自主招生地面试现场，不少学校纷纷通过心理测试考量学生地自我把握能力.向明中学地推优面试更是引入了一套权威地心理测试题，通过十几个指标，最看重学生心理状态地稳定性.“学生地个性无所谓，但心理健康与否却是录取地依据，其中包括了心理紧张性、抑郁性等.”面试考官之一地张颖飞说.与此同时，对综合素质地强调也是各校地一致态度.不少学校都将一些社会热点或时政要闻问题抛了出来，让学生谈谈自己地看法.“我们就是想挑选一批综合素质突出地学生.”向明中学教导主任冯老师强调，面试地重点在于考查学生地知识面是否广博，是否有稳定地人生观，逻辑思维是否清晰等.[华师大二附中]理科需要文科地扶持以理科教学见长地华师大二附中在自主招生中，青睐地是一些在理科和科技方面有特长地学生，不过校方强调，只会解题地理科机器并不需要，学校需要地是学生不但具备一定地理科思维能力，更要懂得关注理科在其历史、文化方面地人文色彩.试题精选：、请归纳总结一下你在初中阶段学习过地数学方法.、以一道题目为例，阐述一下其中蕴含地数学方法.、请你谈谈某著名数学家对数学界和数学文化地贡献.、运用你所学过地物理知识，设计一个符合要求地电路实验（要求多解）题目背后：华师大二附中副校长袁军告诉记者，仅以“数学方法”一题，就难倒了不少学生.不少学生在老师告诉其数学方法地定义之后，依然无法顺利作答，有地学生则在明白之后侃侃而谈.暂且不论对错，这两种表现就将学生地不同特点跃然纸上.他说，理科地学习并不是做题、做实验，在两者地基础上，懂得归纳理科地理论、方法，才是真正对这门学科感兴趣地学生.而学生不仅要做题、做实验，更应主动关注学科地文化内涵，这样才能在学科道路上走得更远.资料个人收集整理，勿做商业用途[格致中学]创新题目考查学生多方面素养“老鼠为什么吱吱叫？”参加完格致中学地自主招生面试，不少考生都对这道试题念念不忘.今年地自主招生和推优，格致中学另辟蹊径，研究出了一种“人机对话”地测试办法，包括语数外在内地多门学科老师每人精心炮制出了一组试题，以期对学生地综合素质进行考量.据悉，通过特别地数据处理方式，老师们能根据学生答题情况，判断学生地学科特长、兴趣点在哪里.推优、自主招生题精选：、家家都有防盗门，上面地猫眼利用地是凸透镜、凹面镜，还是平镜？、地球自西向东自转，跳远运动员能否利用这个自然现象跳得更远？、一场大雪过后，为什么会觉得周围万籁俱寂？、某地发现了一艘大约为宋元时期地海船残骸，船上载有瓷器、青铜器等各类文物，某地最可能是上海、扬州、泉州、官渡四地中地哪一个？题目背后：据悉，在评分上学校特别规定了答错要扣分地条件，希望杜绝侥幸答题.“测试满分分，考查中还出现了负分地学生.”格致中学校长张志敏告诉记者，此举是要引导学生实实在在做学问地态度，知道与不知道之间不能含糊.设置扣分地用意可见一斑.发现所有地题目都与解题无关，不涉及语数外等学科知识，也没有死记硬背地内容，题目甚至设计得颇为趣味，更重要地是它们都取材于生活.“重点是看学生地知识面，学习领域地宽广度.”张志敏认为，学校看重地学生不是以自我为中心地书呆子，相反学生地理解力、发散思维能力才是学习地根本能力.张志敏透露，明年地推优、自主招生面试，学校还准备加考第二外语，进而了解学生在学习一门语言背后，对该国家文化地认知程度.[建平中学]自主招生题：手拿地图，快乐体验第一关：诚信建平中学副校长于基泰告诉记者，今年自主招生，学校采用了核对原始材料与网络材料是否一致地方式去挑选学生，看看学生是否诚信.第二关：自立月日，进入面试名单地名学生来到建平中学参加学校地校园开放日.和校方意料地一样，名学生身后几乎也跟了名家长.为此，校方特意给每位学生准备了一张面试活动证.上面写着：“风华正茂地你，选择了离开父母地呵护.明天地建平校园内我们会看到你独立参与而无比自豪地身影.”所幸地是，参加面试地同学立即意识到了自立地重要性，次日地面试送行地家长大大减少.第三关：综合能力心理、学科、语言、科学……各种各样地知识考查地正是学生地知识结构.而最有看头地则属当天地实践活动环节.每位学生都会拿到一张彩色地建平中学平面图，之后根据任务安排、自行通过平面图寻找合适地地点.任务：寻找“春天地礼物”（分钟）、到图书馆借一本你喜欢地书或杂志.、在校园中寻找最能打动你心灵地事或物.任务：到实验室完成个指定实验（分钟）、物理：测量密度.、化学：辨认液体.、生物：观察细胞.第四关：临场表现、请说明你为什么借这本书？为什么喜欢？平时喜欢阅读哪些书？、你是否找到了“春天地礼物”？解释理由.关于春天，你还能想到什么？、今天你做了什么实验？运用到哪些知识？你喜欢做实验么？为什么？、一分钟即兴演讲：春天地礼物.题目背后：于基泰告诉记者，今年地自主招生以体验为主，希望学生们轻松地通过活动地体验去展示自己地真我风采.独立、诚信、自主、好学、自信地学生才是建平所真心希求地.资料个人收集整理，勿做商业用途[上海实验学校]关注学生社会责任感这次自主招生中，上海实验学校大打社会责任牌.将学生分组后，面试分为小组讨论和个别面试.在小组讨论环节，每个学生各司其职，可以选出一名主持人，就这一话题引导大家进行探讨.而老师则成为了一旁地观察员，如实记录下孩子地种种表现.另一方面，纸牌游戏点成为了考查学生思维和反应地辅助道具.试题精选：、如果有机会，你会去报名参加“超女”和“好男儿”地选秀比赛吗？、在初中阶段有没有参加过志愿者活动？、今年特奥会将在上海召开，请你策划一次以个人或团体活动形式开展地迎特奥活动方案.、你觉得中学生中最不能容忍地问题是什么？题目背后：上海实验学校副校长徐红告诉记者，现在地孩子都是独生子女，从小优渥地生活环境造成了这一代孩子地性格弊端也特别明显.从这个意义上来说，培养学生地社会责任感、关心他人地意识尤为重要.一个学生仅仅学习好远远不够，在学习优秀之余，懂得回报他人、回报社会更加重要.资料个人收集整理，勿做商业用途。

2011年师大附中高一自主招生考试数学试卷

2011年师大附中高一自主招生考试数学试卷一、选择题（共5小题，每小题6分，满分30分）1、「2011年师大附中高一自主招生，1，6分」（2004•吉林）下列图中阴影部分面积与算式2131()242--++的结果相同的是（） A 、 B 、C 、D 、考点：二次函数的性质；一次函数的性质；反比例函数的性质。

分析：先把算式的值求出，然后根据函数的性质分别求出四个图中的阴影部分面积，看是否与算式的值相同，如相同，则是要选的选项．解答：解：原式=3126344442++== A 、作TE ⊥X 轴，TG ⊥Y 轴，易得，△GTF ≌△ETD ，故阴影部分面积为1×1=1； B 、当x=1时，y=3，阴影部分面积1×3×1322=； C 、当y=0时，x=±1，当x=0时，y=﹣1．阴影部分面积为[1﹣（﹣1）]×1×12=1； D 、阴影部分面积为12xy=12×2=1．故选B ．点评：解答A 时运用了全等三角形的性质，B 、C 、D 都运用了函数图象和坐标的关系，转化为三角形的面积公式来解答．2、「2011年师大附中高一自主招生，2，6分」下列命题中正确的个数有（）①实数不是有理数就是无理数；②a＜a+a；③121的平方根是±11；④在实数范围内，非负数一定是正数；⑤两个无理数之和一定是无理数．A、1个B、2个C、3个D、4考点：实数。

分析：①根据实数的分类即可判定；②根据实数的性质即可判定；③根据平方根的定义即可判定；④根据实数的分类即可判定；⑤根据无理数的性质即可判定．解答：解：①实数包括有理数和无理数，故说法正确；②当a≤0时，a+a≤a，故选项错误；③正数的平方根由两个，且互为相反数，故说法正确；④实数可分为：正数、负数和0、非负数即正数和0，故说法错误；⑤中，两个互为相反数的无理数和为0，故说法错误．此题共有①和③正确，故选B．点评：此题主要考查了实数的分类和性质，解答此题应熟知以下概念：（1）实数包括有理数和无理数；实数可分为正数、负数和0；（2）正数的平方根由两个，且互为相反数．3、「2011年师大附中高一自主招生，3，6分」某家庭三口人准备在“五一”期间参加旅行团外出旅游．甲旅行社告知：父母买全票，女儿按半价优惠；乙旅行社告知：家庭旅行可按团体票计价，即每人均按八折收费．若这两家旅行社每人的原标价相同，那么（）A、甲比乙更优惠B、乙比甲更优惠C、甲与乙相同D、与原标价有关考点：列代数式。

2011年华师大二附中自主招生试题(英语部分)

2011年华师大二附中自主招生试题（英语部分）2012年02月05日16:38:00英语学科素养1.Vocabulary and Grammar (每题1分)1. The rescue team found the boy extremely , wolves howling in the woods.A.missing ... scalingB.missed....scaredC.mlssed...searingD.missing..,scared2. This year an increased number Of drivers for speeding.A. have finedB.have been freedC. has punishedD.have been punished3. A couple ofdecades ago, he Austria and lives there now.A.was to visitB. had gone toC. left forD. arrived in4. This is the Department of Foreign Languages,where we about 80 students a year.A.teachB. educateC. trainD.instruct5.The villager said to the official With great panic that the UFO east to west when he saw it.A.was travelingB. traveledC. had been tmvelingD. was to trave6.There was nothing of importance in the annual report.A. specificB.particularC.specialD. peculiar7.Nobody but my father can__ the handwriting on the yellow envelope which is kept in the safe.A. work outB.look outC.make outD. find out8. Adams hadn’t a What the speaker Was talking about most of time because the cIass was in chaos.A.guessB.thoughtC.conceptD. clue.9. My cousin Betty is the black __ of the family.A.cowB. pigC.horseD.sheep10.My father's very quiet too.I him.A.follow with.B. take afterC.look likeD. turn up to be11.I can't get into my apartment because I left the key my door in my can.A.ofB. fromC. onD. to12. It’s not far from the Village if we take the short through the jungle.A. passerC. turningD. cut13. Not many of them hurt themselves in the accident last night, ?A.don't themB. didn't theyC. did theyD.do they14.I can't describe to you at that moment, when I was first led into a dark room and then told to sit there for a while.A. what I feelB. what did I feelC. what do I feelD.what I felt15. he has limited technical knowledge, the old worker has a for of experience.A.sinceB.UnlessC.As D Although16. Scientists say it may be Frye or six years __ it is possible to test this medicine 0n human patients.A. sinceB. afterC. beforeD. when17. in our new society, more and more women are an increasingly imporant part in our socialist revolution and construction.A. doingB. makingC. playingD. payingⅡCloze(每题1分)In Cotonial(殖民地的) America, medical science was so dangerous that it was Often safer to remain sick than it was to be treated for illness. One of the most popular 18 forillness was bloodletting. This 19 cutting a patient's skin and allowing him or her to bleed 20 remove the cause of a disease.Sometimes so much biood was iost that patients would grow 21 and die.Another example of a 22__ treatment used in colonial America was “sweating" A patient would be forced to stay in a s mall, hotroom 23 the heaviest clothing and blankets available.Often the heating would worsen the patient's 24 .The result was extremeweakness, heat exhaustion, and sometimes death. A final 25 that hurt patient more than it helped them was purging. This treatment was based on the idea a 26 was in the body andcould be removed by vomiting. Patients would be forced to take a water-like mixture that would 27 them unconrrollably Sick to the stomach. With all these treatments, the "cure"was usuaily worse than the disease.18. A. treatments B.medicines C.poison D.operaiion19. A. was B.involved C.required D. needed20. A. in order to B. as well as C.so far as D. in addition to2I. A excited B. weak C. pale D. painful22. A. useful B. effective C. errible D. harmful23. A.wearing with B. put on C. covered in D.dressed in24, A. situation B. memory C.temper D.condition25. A. illness B.method C.treatment D. way26. A sickness B. danger C. poison D. problem27. A. make B. do C. force D. letⅢReading Comprehension (每题2分)(A)Ben Johnson is one of the few men ever buried standing up.As the story goes, King Charles I once made him a promise. The king told the great writer that be would be buried in England’s famous Westminster Abbey.But that wasn’t all.Johnson could choose any place he liked for his grave.Johnson died in 1637.Then it was found that the spot he had picked was already filled. The ground space. left in it was just eighteen inches square.King Charles I kept his words.. He had Johnson's coffin placed on its end in the small place. That's the way it would just fit.28. Which probably happened first?A. Johnson picked a place in the Abbey.B. Johnson died.C. Johnson received Charles's promise.D. Johnson told the king of his choice.29. Charles i found out the place filled afterA. Johnson's deathB. Johnson’s burialC. the reading of Johnson's willD. the year of 163830. Johnson's coffin was placed uprighI so that it wouldA.face the westB. look biggerC.take less roomD. reach the floor31. The story shows that Charles tried toA. role Britain wellB. keep his promiseC. learn about artD. write poems and stories(B)Along with jogging and swimming, cycling is one of the best all-round formsof:exercise.It can help to increase your strength and energy, giving you more efficient muscles and a stronger heart. But increasing your strength is not the only advantage, of cycling, Because you’re not carrying the Weight of your body on your feet, it'S a good form of exercise for people with painful feet or backs. However, with all forms of exercise it's important to start slowly and build up gently, Doing too much too quickly can damage muscles, that aren’t used to working.If you have any .doubts about taking up cycling for health reasons, talk to your doctor and ask his/her advice.Ideally you should be cycling at least two or three times a week.For the exercise to be doing you good, you should get a little out of breath. Don’t Worry if you begin to lose your breath. Shortness of breath shows that the exercise is having the right effect.However, if you find you are in pain then you should stop and take a rest.32. The words "Along with" (in Para1, line I) most probably meansA. Rather than:B. Except forC. In addition toD. lnstead of33. Cycling is good for people with painful back becauseA. they can avoid putting all their weight on thor feetB. they can have some exercise on their backC. they, must start slowly and build up gentlyD. they can relieve pain from the back34. The_probable result of sudden exercise is thatA.you might get a little out of breathB. You will lose your breathC. you can get your muscles hurtD. you’Il find you are in pain with your heart35. What is the.writer's purpose of writing this article?A. To give amusementB. To make commendsC. To give adviceD. To give warning(c)Good health is not somettiing you are able to buy at the drugstore, and you can not depend on getting it back with a quick visit to hhe doctor when you are sick, either.Making your body last without major problems has to be your own responsibility.Mistreating your system by keeping bad habits,neglecting symptoms(症状) of illness and ignoring common health rules can reduce the best medical care.Nowadays, health specialists promote the idea of wellness for everybody. Wettiiess means achieving the best possible health Within the limits of your body. Some people might prefer lot of easier exercise to more strenuous exercise. While one person, enjo ysplaying seventy-two holes of golf a week, another would rather play the sweaty, competitive games of tennis.Understanding the needs of your own body is the key.Everyone runs the risk of accident,and no one can be sure of avoiding disease. Nevertheless poor diet stress, a bad woking eveironment,and carelessness can ruin good health by changing your habits or the conditions surrounding you, you can lower the risk or reduce the damage of disease.36. What does the writer imply about good health?A. The best mefhod care. maintains good health.B. Good health can not be obtained quickly, once it is lost.C. Good health results.only from developing good habits.D. Doctors are responsible for maintaining people's health.37. How can one achieve his wellness?A. One should try. to avoid being 0vevaeight.B.One should keep fit according to his own condition.C. Easier exercise is prefemble.D. Sweaty, competitive games .are more helpful.38. What can not people avoid completely according to the passage?A. Accidents and diseaseB.Being sick: and overweight,C, Keeping bad habits D. Changing their habits39. What can people do to maintain or improve their health according to the passage?A. Change their habitsB. Change thek working environmentC. Change their liv ing conditionsD.All of the above.IV. Translsfions (每题3分)40.中国的绝大部分城市在广泛地使用移动电话。

2011年湖北省武汉市华师二附中自主招生考试数学试卷

2011年湖北省武汉市华师二附中自主招生考试数学试卷
一、填空题
1．（4分）已知关于x的多项式ax7+bx5+x2+x+12（a、b为常数），且当x＝2时，该多项式的值为﹣8，则当x＝﹣2
时，该多项式的值为．
2．（4分）已知关于x的方程x2+（a﹣2）x+a+1＝0的两实根x1、x2满足，则实数a＝．
3．（4分）已知当甲船位于A处时获悉，在其正东方向相距10海里的B处有一艘渔船遇险等待营救，甲船立即前往救援，同时把消息告知在甲船的南偏西30°，相距10海里C 处的乙船，试问乙船应该朝北偏东度的方向沿直线前往B处救援．
4．（4分）关于x、y的方程组有组解．
5．（4分）已知二次函数y＝2x2﹣px+5，当x≥﹣2时，y随x的增加而增加，那么当x＝p 时，对应的y的值的取值范围为．
6．（4分）如图所示，正方形ABCD的面积设为1，E和F分别是AB和BC的中点，则图中阴影部分的面积是．
7．（4分）陈老师从拉面的制作受到启发，设计了一个数学问题：如图，在数轴上截取从原点到1的对应点的线段AB，对折后（点A与B重合）再均匀地拉成1个单位长度的线段，这一过程称为一次操作（如在第一次操作后，原线段AB上的和均变成，变成1，等）．那么在线段AB上（除A，B）的点中，在第n次操作后，恰好被拉到与1重合的点所对应的数为．
二、计算题
8．（10分）四个不同的三位整数的首位数字相同，并且它们的和能被它们中的三个数整除，
第1页（共3页）
求这些数．
9．（10分）如图，已知P A切⊙O于A，∠APO＝30°，AH⊥PO于H，任作割线PBC交⊙O 于点B、C ，计算的值．
第2页（共3页）
第3页（共3页）。

上海华东师范大学第二附属中学高一自招模拟英语试题含答案

Lecture FourI. Words and phrases:1. Choice:1. Some of the passengers told the reporters about their in the burning train.(details,trips,event,experiences)2. After the president made an official announcement, she expressed her opinion.(personal, private,single,individual)3. He run towards the seaside and into the water.(dived, sank, headed, bathed)4. These football players had no strict until they joined our club.(Practice, training, education, exercise)5. Michael be a policeman, for he is much too short.(needn’t, should, can’t, may)6. I don’t know the restaurant, but it’s to be quite a good one.(told, said, spoken, talked)7. You can take as many as you like because they are free of .(charge, pay, money, fare)8. You look nice in green. Green you.(fits, suits, satisfies, matches)9. The new research team was led by the engineer.(chief, primary, main, major)10. A will be offered for information leading to the arrest of the bank robber.(profit, reward, fund, price)11. Electricity, like other forms of , has greatly increased in price.(power, force, strength, energy)12. The director is very busy, so he is not at home on Sundays.(most, mostly, hardly, already)13. Bob has made up his mind to leave here, so it won’t be easy to him to stay here.(suggest, prevent, persuade, make)14. You may take this kind of medicine without an ill .（effect，affect, aim, action）15. With doc tor’s effort, the patient is certain to before long.(go through, pull through, get through, breakthrough)16. We tried to the nervous old lady that flying was safe.(assure, promise, believe, be sure)17.”your brother’s letter when you have time,” I said, but he asked “Must Ito his letter? ” (answer...reply, reply...answer, answer...answer, reply...reply)18. The girl red when she . (Went...was lying, y, broke...lied, id)19. It is that some mistakes will happen. (Certainly, surely, certain,sure)20. The thief walked around the room , afraid of making any noise. (On his tiptoe, on tiptoe, on his tiptoes, on tiptoes)21. She me a present for my birthday last month. (agreed, approved, promised, meant)22. How did you yourselves during your holidays? (Like, enjoy, admire, appreciate)23. It’s very sad when husbands and wives with each other. (debate, discuss, quarrel, argue)24. New scientific discoveries constantly us. (Wonder, surprise, amaze, astonish)25. The fox the chicken and run away immediately.(held, seized, grasped, snatched)26. The city stands on the right of the river.(beach, bank, coast, shore)27. We must stick to education in all schools. (quality, quantity, character, personality)28. Would you show us some of your work? (models, examples, guides, samples)29. Of victories keeps pouring. (information, news, advertisement, data)30.It wasn’t an accident. He did it on .(intention, reason, purpose, carelessness)31. Two rivers connected to form one waterway.(constant, steady, continual, continuous)32. She is so that she doesn’t even know where Beijing is.(foolish, silly, stupid, ignorant)33. My father was with his new study.(pleasing, pleasant, pleased, pleasure)34. You shouldn’t your opinion on others.(force, impress, make, strike)35. His mother told him not to talk at breakfast time.(proudly, nervously, constantly, properly)36. The children like to watch the planes and land from far away.(take out, take away, take up, take off)37. Your carelessness will you your life.(waste, use, cost, spend)38. She told the dentist that the toothache had kept her the night before.(wake, woke, walking, awake)39. Human history is often compare a long river.(for, to, with, along)40. We saw a good film on TV last night.(beautiful, handsome, lovely, pretty)2. Phrases1. be familiar with2. Be fed up with3. be fit for4. be free from5. be grateful/thankful to sb. or sth6. be ignorant of7. be in favor of8. be independent of9. be infected with10. be inferior to11. be involved in12. be located in13. be lost in thought14. be of good/poor quality15. be on a diet16. be opposed to doing17. be particular about18. be popular with/among19. be present at20. be qualified for3. Understanding the following sentences and pay attention to the underlined parts.1. You must have once been here in Shanghai. You are very familiar with the roads here.2. The name sounds familiar to me.3. He is so talkative that I am a little fed up with him.4. I am fed up with the same food every day.5. I don’t think the job is fit for you.6. If we go on polluting the world, it won’t be fit for us to live in.7. I’m looking forward to living a life free from any worry.8. Even if he could be free from punishment, how can he face his children in the future?9. We are grateful to you for your suggestions.10. But choosing not to be religious is different from choosing to be ignorant of religion.11. For a cultivated man to be ignorant of foreign languages is a great inconvenience.12. Are you in favor of or against our plan?13. The Indian Prime Minister is said to be in favor of trying to build bridges with Pakistan.14. Well they definitely have to be independent of political pressure.15. Judges must be independent of political pressure.16. More than 600,000 people were estimated to be infected with HIV, about one-third of them expected to die from TB.17. Horses are the only species of domestic animal that can be naturally infected with Hendra virus.18. I’m inferior to you in math.19. The professor is so easy going that he never makes others inferior to him.20. I don’t want to be involved in your argument.21. Let your child be involved in the process of choosing books.22. Our school is located in Jading.23. He is sitting in front of the window, lost in thought.24. Lost in thought for a moment, mom replied, “then I would rather buy you a gift.”25. I assure you that our products are of good quality.26. If you want to lose weight you must be on a diet.27. But he said he wouldn’t be opposed to covering something local if it meant he’d get to stay a journalist.28. I’m opposed to rebuilding the bridge.29. You shouldn’t be too particular about food.30. His novel is popular with young people.31. You should be present at our meeting tomorrow.32. We can’t accept you as you are not qualified for the job.Part twoReading1.Reading skills:2.归纳论证归纳论证议论文是一种由个别到一般的论证方法。

华师大二附中自主招生物理应试辅导第2讲：非惯性系问题、弹簧问题

第二讲：非惯性系问题、弹簧问题————————————————————————————————————————一、知识补充：1、惯性力2、弹簧的弹性势能3、弹簧的缓冲作用二、考试真题：159．（复旦08）现有带刻度的尺，细直玻璃管，玻璃杯，一根弯成直角的细玻璃管，一定量的水，量角器，要制成最简单方便的加速度测量仪，用于测量列车的加速度，应选用( )。

A ．细直玻璃管，尺，水。

B ．玻璃杯，尺，水。

C ．弯成直角的细玻璃管，尺，量角器，水。

D ．细直玻璃管，玻璃杯，尺，水12、（交大07）如图所示，U 形管竖直固定在静止的平板车上，U 形管竖直部分和水平部分的长度均为l ，管内充有水银，两管内的水银面距离管口均为2/l ．若将U 形管管口密封，并让U 形管与平板车一起作匀加速运动，运动过程中U 形管两管内水银面的高度差为6/l ，求（1）小车的加速度；（2）U形管底部中央位置的压强．（设水银质量密度为ρ，而大气压强恰好为gl P ρ=0，空气温度不变）1、（交大08）有一劲度系数为k 的轻弹簧，竖直放置，下端悬一质量为m 的小球。

先使弹簧为原长，而小球恰好与地接触。

再将弹簧上端缓慢地提起，直到小球离开地面h 为止。

在此过程中外力所作的功为______。

1、（交大07）质量分别为m 1和m 2的两滑块A 和B 通过一轻弹簧水平连结后置于水平桌面上，滑块与桌面间的摩擦系数均为μ，系统在水平拉力F 作用下匀速运动，如图所示．如突然撤消拉力，则刚撤消后瞬间，二者的加速度a A 和a B 分别为[ ](A) a A =0 , a B =0 (B) a A >0 , a B <0(C) a A <0 , a B >0 (D) a A <0 , a B =05．（05交大）如图所示，劲度系数为k 1的轻弹簧分别与质量为m 1、m 2的物体1、2连接；劲度系数为k 2的轻弹簧上端与物体2相连，下端压在桌面上。

华二自招训练题(十)

华二自招训练题（十）体裁: 记叙文题材：传奇人物词数: 274阅读时间:____分钟题数: 20难度系数：***I n my mind,the definition of a hero is Lance Armstrong. He has 1 so many things and inspired so many people. He 2 a life-threatening disease, and has lived a very complete life, 3 giving so much to others.He is a great teammate and brilliant leader. He 4 his winnings from races to his 5 . Armstrong knew he could win only with their help. Even though he has retired, he still helps coach the 6 . Many people admired him 7 what he has accomplished.Lance Armstrong was 8 with cancer at 25 and didn't just survive but went on to again win the 9 cycling race in the world, the Tour de France.* He has money for cancer patients. He also 10 the Lance Armstrong Foundation and has helped the Make-A-Wish Foundation.He has won the Tour de France seven times, 11 is a great accomplishment for anyone, 12 one who survived cancer. It is said to be the longest and most 13 race in all of cycling. He 14 as a helpful teammate and then became a leader. He has also 15 the Tour of George.The Lance Armstrong Foundation has 16 $14.4 million for cancer research and started a canter for cancer survivors. His contributions may help find a 17 . I know that’s 18 he is hoping for.As you can see, Lance Armstrong has many 19 that can make him a hero. He is a good leader with goals. He is an inspiration to kids and adults. I 20 that he will try his hardest to find a cure for cancer and help its survivors.1. A. accomplished B. adoptedC. establishedD. attempted2. A. suffered B. survivedC. experiencedD. escaped3.A. even B. thenC. thusD. still4.A. devoted B. referredC. gaveD. explained5.A. parents B. playersC. teammatesD. friends6.A. race B. teamC. tourD. sports7.A. in case of B. instead ofC. in spite ofD. because of8.A. diagnosed B. facedC. filledD. connected9.A. best B. hardestC. coolestD. simplest10.A. found B. assistedC. soundedD. suggested11.A. that B.whichC. itD. why12.A. specific B. especiallyC. generallyD. normally13.A. famous B. challengingC.interestingD. attractive14.A. started out B. made outC. put outD. held out15.A. directed B. managedC. DefeatedD. won16.A. offered B.devotedC. collectedD. earned17.A. means B. cureC. treatmentD. case18.A.how B. weatherC. whatD. when19.A. tricks B.qualitiesC. habitsD. customs20.A. doubt B. argueC. guaranteeD. decideKey: 1-5 ABDCC 6-10 BDABC 11-15 BBBAD 16-20 CBCBC体裁：说明文题材：情绪词数：447阅读时间：分钟题数：5难度系数：*****P ositive thinking can lead to a lot of positive change in your life. Developing an optimistic outlook can be good for both your physical and mental health. But sometimes, certain situations arise in life that makes it hard to keep a positive outlook. Take steps to make positive thinking become most like second nature and eel trip so big benefits. Here are tips to make positive thinking easy.1Do you have any friends or colleges who are relative? It's so, you know Theyaren't the most enjoyable people to be around. Being friends with negative people in certainly not going to assist you In that goal. Try to spend the majority of your time with positive people spend time with positive friends and family members to increase the likelihood that the positive thinking habits will become your habits as well. * It's hard to be negative when everyone around you is so positive.2It is common to have trouble or hard times in our everyday life. When you encounter problems and difficulties in life, don't play the role of the victims. Acknowledge your rule in the situation, and take responsibility for your behavior. Accepting responsibility can help you learn from mistakes, and prevent you from blaming others unfairly. Only if you can face the situation, you can you get rid of it successfully.3You won't be successful at positive thinking if you are still plagued by frequent negative negative thoughts. Learn to recognize and replace thoughts that are overly negative. Often, thought that include words like “always”and “never”signal that they aren't true. If you find yourself thinking something such as. “I always miss everything up,” replace it with something more realistic such as, “ Something I made a mistakes but I learn from them.” There is no need to make your thoughts unrealistic in positive, but instead, make them more realistic.4A good book or article has great effects on the readers, so it is necessary to spend time each day reading something that encourages positive thinking. Read the Bible, spiritual material, or inspirational quotes to help you focus on what's important to you in life. It can be a great way to start and end your day.5Everyone has dreams and that's why you set goals- to work towards a more fulfilling life. However, as is often the case, we work hard to our dreams, but we fail in the end, we met with such setbacks beyond expectation. Just keep in mind that girls are always giving your motivation to overcome those obstacles when you encounter problems along the way. Without clear goals, it's hard to make decisions, and gauge your process.根据短文内容, 从下列选项中选出填入空白处的最佳选项，其中两项为多余选项。

自招必备——华师大二附中高中物理自主招生内部讲义

2.如图所示，跨过两个定滑轮的轻绳上系着三个质量分别为 m1、m2 和 M
实用大全
标准文档
的重物，两滑轮的悬挂点在同一高度，不计摩擦.求当整个系统处于平衡状态时，三个重物质量之间的关系.
3．如图所示，重为 G 的均匀链条。两端用等长的细线连接，挂在等高的地方，绳与水平方向成 θ 角。试求：⑴绳子的张力。⑵链条最低点的张力。
4．一球重为 G，固定的竖直大圆环半径为 R，轻弹簧原长为 L(L＜2R)，其劲度系数为 k ，
一端固定在圆环最高点，另一端与小球相连，小球套在环上，所有接触面均光滑，则小球静止时，弹簧与竖直方向的夹角 θ 为多少？
滑轮绳子
1．如图所示，物体的质量为 2kg，两根轻绳 AB 和 AC 的一端连接于竖直墙上，另一端系于物体上，在物体上另施加一个方向与水平线成 θ=600 的拉力 F，若要使两绳都能伸直，求拉力 F 的大小范围。
标准文档
第一讲平衡问题（一）
这部分内容虽然是第一章，但变化多端，不可轻视！
【高考部分】
1．如图，两长度均为 5m 的轻杆 AB、BC，处在同一竖直平面内，A、B、C 三处均用
铰链连接，其中 A、C 两点在同一水平面上且相距 6m。现在 BC 杆的中点处施加一水平作
用力 F＝36N，整个装置仍保持静止不动，则 AB 杆对 B 处铰
成反比的斥力作用，方向沿 a、b 连线。当力 F 水平向左作用于 b 时，a、
b 处于静止状态。现若稍增大力 F，且使 b 稍有移动，则当则 a、b 重新处 O
于静止状态时重新（
）
（A）a 对 b 的作用力大小增大，
（B）a 对 b 的作用力大小减小
（C）OQ 面板对 b 的支持力大小不变

11年华二自招数学

2011年华二自主招生数学试卷一、填空题（每题4分）1.已知关于x 的多项式75212ax bx x x ++++（a 、b 为常数），且当2x =时，该多项式的值为8-，则当2x =-时，该多项式的值为．★2.已知关于x 的方程2(2)10x a x a +-++=的两实根1x 、2x 满足22124x x +=，则实数a = ．3．已知当船位于处A 时获悉，在其正东方向相距10海里的B 处有一艘渔船遇险等待营救，甲船立即前往救援，同时把消息告知在甲船的南偏西30，相距10海里C 处的乙船，试问乙船应该朝北偏东度的方向沿直线前往B 处救援．★★4．关于x 、y的方程组1x y x y x y -+⎧=⎪⎨=⎪⎩有组解．5．已知a ，b ，c 均大于零，且222420a ab ac bc +++=则a b c ++的最小值是．6．已知二次函数225y x px =-+，当2x ≥-时，y 的值随x 的值增加而增加，那么x p =对应的y 值的取值范围是．7．如图所示，正方形ABCD 的面积设为1，E 和F 分别是AB 和BC 的中点，则图中阴影部分的面积是．EDC B8．在直角梯形ABCD 中，90ABC BAD ∠=∠=，16AB =，对角线AC 与交BD 于点E ，过E 作EF AB ⊥于点F ，O 为边AB 的中点，且8FE EO +=，则AD BC +的值为．,9．以下是面点师一个工作环节的数学模型：如图，在数轴上截取从0到1对应的线段，对折后（坐标1所对应的点与原点重合）再均匀地拉成1个单位长度的线段，这一过程称为一次操作（例如在第一次操作完成后，原来的坐标13,44变成12，原来的12变成1，等等），那么原数轴从0到1对应的线段上（除两个端点外）的点，在第n 次操作完成后（(1)n ≥，恰好被拉到与1重合的点所对应的坐标为． 12010．定义{}min ,,a b c 表示实数,,a b c 中的最小值，若,x y 是任意正实数，则11min ,,M x y yx ⎧⎫=+⎨⎬⎩⎭的最大值是．二、计算题（20分）11．四个不同的三位整数的首位数字相同，并且它们的和能被它们中的三个数整除，求这些数．（10分）12．如图，已知PA 切⊙O 于A ， 30=∠APO ，AH PO ⊥于H ，任作割线PBC 交⊙O 于点B 、C ，计算BCHB HC -的值．（10分）P 答案：1.40，2.113-, 3.060，4.二解，5.52，6. 69≥y ，7.32，8.16，9. ))2,1[(2中的奇数n n j j ∈， 10.2，11. 四个数是108，117，135，180.。

2011年华东师范大学自主招生录取名单(上海考生)

姓名毕业学校名称所在省份录取学校名称徐文嘉敬业中学上海华东师范大学张佳依进才中学上海华东师范大学汪颖市北中学上海华东师范大学陈亮进才中学上海华东师范大学陈文珍大同中学上海华东师范大学黄玮嘉大同中学上海华东师范大学周怡控江中学上海华东师范大学缪思皓南洋模范中学上海华东师范大学李修能延安中学上海华东师范大学王倩芸上海大学附中上海华东师范大学李艺佳奉贤中学上海华东师范大学赵明明华东师大附属周浦中学上海华东师范大学陆沄位育中学上海华东师范大学陈广一华东师大三附中上海华东师范大学赵一芝建平中学上海华东师范大学姜玉敏吴淞中学上海华东师范大学张晓沁市三女中上海华东师范大学江雨雯上海交大附中上海华东师范大学张瑾敬业中学上海华东师范大学庄晨怡复旦大学附中上海华东师范大学周上晋元高级中学上海华东师范大学吴君奉贤中学上海华东师范大学徐怡上海市实验学校上海华东师范大学蒋海涵市北中学上海华东师范大学施佳懿敬业中学上海华东师范大学李之烨行知中学上海华东师范大学单慧心延安中学上海华东师范大学黄静怡闵行中学上海华东师范大学高陆宇向明中学上海华东师范大学周铭向明中学上海华东师范大学钱佳轶洋泾中学上海华东师范大学黄梦婕市西中学上海华东师范大学张子豪新中高级中学上海华东师范大学秦琨上师大附中上海华东师范大学薛桢容市西中学上海华东师范大学孙凡帆七宝中学上海华东师范大学林奕雯华东师大附属周浦中学上海华东师范大学王蓉敏上海市实验学校上海华东师范大学王依然七宝中学上海华东师范大学唐俊奉贤中学上海华东师范大学游佳艺上海市实验学校上海华东师范大学包卉婷育才中学上海华东师范大学乐天翊上海市实验学校上海华东师范大学龚梦珏华东师大附属东昌中学上海华东师范大学朱珏行知中学上海华东师范大学吉智雯虹口高级中学上海华东师范大学朱梦月七宝中学上海华东师范大学许光懿大同中学上海华东师范大学钱慧华东师大一附中上海华东师范大学周闻向明中学上海华东师范大学阮若嘉向明中学上海华东师范大学胡佳樱华东师大附属东昌中学上海华东师范大学胡彩珠青浦高级中学上海华东师范大学吴辰蕾南洋中学上海华东师范大学石燕君市北中学上海华东师范大学岳明蔚西南位育中学上海华东师范大学高禺颖市北中学上海华东师范大学胡敏智上外附属浦东外国语学校上海华东师范大学朱叶华东师大三附中上海华东师范大学胡嘉仪建平中学上海华东师范大学唐佳佳川沙中学上海华东师范大学叶利莲市二中学上海华东师范大学孙珂琪西南位育中学上海华东师范大学刘钰帆风华中学上海华东师范大学孙嘉珞位育中学上海华东师范大学周盈之南汇中学上海华东师范大学乔思雨南汇中学上海华东师范大学夏小媛南汇中学上海华东师范大学袁智绮川沙中学上海华东师范大学施文西南位育中学上海华东师范大学杨璟琰西南位育中学上海华东师范大学杨琳懿七宝中学上海华东师范大学蔡静烨晋元高级中学上海华东师范大学葛茂上海市西南位育中学上海华东师范大学张倩文南汇中学上海华东师范大学徐艺真甘泉外国语中学上海华东师范大学江圣洁青浦高级中学上海华东师范大学吴亦多青浦高级中学上海华东师范大学孙佳蕾育才中学上海华东师范大学李峥敏洋泾中学上海华东师范大学汤惠钧曹杨二中上海华东师范大学高欣华东师大三附中上海华东师范大学顾圣晨上师大附中上海华东师范大学范铭珺青浦高级中学上海华东师范大学许方舟七宝中学上海华东师范大学叶佳丽南洋中学上海华东师范大学张韵雯上海大学附中上海华东师范大学杨艺南洋模范中学上海华东师范大学李伊杰市西中学上海华东师范大学安妮复旦中学上海华东师范大学陈逸铭华东师大二附中上海华东师范大学魏圣梁市东中学上海华东师范大学袁祎华东师大三附中上海华东师范大学章茹琛向明中学上海华东师范大学马佳倩上外附属浦东外国语学校上海华东师范大学朱馨忆朱家角中学上海华东师范大学殷思源复兴高级中学上海华东师范大学郭炎青浦高级中学上海华东师范大学田轩飏建平中学上海华东师范大学卜怡情朱家角中学上海华东师范大学刘皂燕延安中学上海华东师范大学庄涵沁七宝中学上海华东师范大学杨敏怡复旦中学上海华东师范大学邱嘉玉杨浦高级中学上海华东师范大学赵欣浩上海大学附中上海华东师范大学张聪辉育才中学上海华东师范大学黄祎青华东师大附属东昌中学上海华东师范大学滕芸虹口高级中学上海华东师范大学金竹悦七宝中学上海华东师范大学薛晟建平中学上海华东师范大学徐涵沁奉贤中学上海华东师范大学滕烨金闵行中学上海华东师范大学沈裴裴建平中学上海华东师范大学施金叶行知中学上海华东师范大学戴欣云进才中学上海华东师范大学陆莉青莘庄中学上海华东师范大学陈琳上海交大附中上海华东师范大学林汝忆市北中学上海华东师范大学钱嘉妮洋泾中学上海华东师范大学吴烨位育中学上海华东师范大学杨阳奉贤中学上海华东师范大学张云洁川沙中学上海华东师范大学王楚文位育中学上海华东师范大学杨阳七宝中学上海华东师范大学吴航吴淞中学上海华东师范大学蒋晓磊吴淞中学上海华东师范大学郁晓琼松江二中上海华东师范大学陆怡文行知中学上海华东师范大学潘莉南汇中学上海华东师范大学张慧进才中学上海华东师范大学吴玉权行知中学上海华东师范大学陈功风华中学上海华东师范大学戴圆圆上南中学上海华东师范大学虞世航格致中学上海华东师范大学蔡晓琛上海交大附中上海华东师范大学张佳韵青浦高级中学上海华东师范大学王琦大屯矿区第一中学上海华东师范大学付静仪南汇中学上海华东师范大学陈立鸣晋元高级中学上海华东师范大学莫凡华东师大二附中上海华东师范大学倪佳沁建平中学上海华东师范大学王佳仪进才中学上海华东师范大学秦怡玮奉贤中学上海华东师范大学杨倩怡上海大学附中上海华东师范大学朱诗彧格致中学上海华东师范大学顾睿姣向明中学上海华东师范大学茅亮音回民中学上海华东师范大学肖力向明中学上海华东师范大学徐婧苇位育中学上海华东师范大学孟幸异闵行中学上海华东师范大学房雯艳上海市实验学校上海华东师范大学钱崚闵行中学上海华东师范大学沈舒芬华东师大附属周浦中学上海华东师范大学方园南京市第一中学上海华东师范大学程思祎市北中学上海华东师范大学鲁沁松江二中上海华东师范大学毕悦育才中学上海华东师范大学王祎金山中学上海华东师范大学吕逸敏松江二中上海华东师范大学潘胡燕青浦高级中学上海华东师范大学陈艳萍嘉定一中上海华东师范大学冯霞曙光中学上海华东师范大学周超南洋中学上海华东师范大学陆晨上海大学附中上海华东师范大学徐文怡华东师范大学第一附属中学上海华东师范大学胡佳睿上南中学上海华东师范大学王依云复兴高级中学上海华东师范大学杜晓薇行知中学上海华东师范大学宋蓉杰闵行中学上海华东师范大学陈佳慧松江二中上海华东师范大学黄芸菲行知实验中学上海华东师范大学张一凡南洋中学上海华东师范大学夏莉莉上海理工附中上海华东师范大学浦哲豪曹杨中学上海华东师范大学叶可凡奉贤中学上海华东师范大学华嘉逊卢湾高级中学上海华东师范大学姚祎闵行中学上海华东师范大学黄烨婷行知中学上海华东师范大学楼逸丰华东师大一附中上海华东师范大学黄英樱育才中学上海华东师范大学潘晔七宝中学上海华东师范大学施以礼上海市复旦中学上海华东师范大学徐亦达市西中学上海华东师范大学唐樱予杨浦高级中学上海华东师范大学袁雅馨松江二中上海华东师范大学李聃曹杨二中上海华东师范大学丁文艳华东师大一附中上海华东师范大学田园位育中学上海华东师范大学石凌上海市新川中学上海华东师范大学陆东星华东师大附属东昌中学上海华东师范大学孙扬崇明中学上海华东师范大学陆叶上外附属大境中学上海华东师范大学唐天恩闵行中学上海华东师范大学王卿北郊高级中学上海华东师范大学黄琼建平中学上海华东师范大学曹政卢湾高级中学上海华东师范大学周婧上外附属外国语学校上海华东师范大学沈崮松江二中上海华东师范大学彭佳华东师大一附中上海华东师范大学刘亚洲曹杨二中上海华东师范大学朱黎清华东师大三附中上海华东师范大学戴兆丰七宝中学上海华东师范大学曹静雯建平中学上海华东师范大学颜莹晨华东师大二附中上海华东师范大学洪超通河中学上海华东师范大学刘洋华东师大二附中上海华东师范大学祝菲尔南汇中学上海华东师范大学洪夏于郊上海师大附中上海华东师范大学丁蓓蓓金山中学上海华东师范大学娄乔娜张堰中学上海华东师范大学王艺原南汇中学上海华东师范大学陆乐崇明中学上海华东师范大学朱泽慧七宝中学上海华东师范大学华娴婷大同中学上海华东师范大学王欣怡大同中学上海华东师范大学徐秋思建平中学上海华东师范大学丁佳轶晋元高级中学上海华东师范大学尹颖金山中学上海华东师范大学俞奇凡青浦高级中学上海华东师范大学罗丹汀南汇中学上海华东师范大学张缘庆七宝中学上海华东师范大学孙叶蕊建平中学上海华东师范大学赵怡吉华东师大附属东昌中学上海华东师范大学金睿崇明中学上海华东师范大学唐沈琦崇明中学上海华东师范大学朱佳毅崇明中学上海华东师范大学黄晨雯市三女中上海华东师范大学李晶怡市三女中上海华东师范大学施静娴曹杨二中上海华东师范大学。

华师大二附中姜建锋历年复旦交大自主招生物理试题详解与应考指导第11讲光电效.doc

第十一讲：光电效应、物质波授课讲师：姜建锋一、知识补充：1、光电效应的实验规律2、爱因斯坦的光子说3、光的波粒二象性4、微观粒子的波粒二象性5、物质波二、考试真题：149.(复旦08)已知用一束某种波长的平行光照射一小块某种金属能产生光电效应，光电了的战大初动能为E P单位时间内产生了M个光电子，现用同一束光经凸透镜会聚后照射该金属，光电子的最大初动能为E Q单位时间内产生了 2个光电子，贝M )A.Ei= E2，Ni> N2B. E-|< E2. Ni> N2C. Ei> E2。

Ni< N2 D・ Ei= E2， Ni< N2106、(复旦07) —束单色光从空气射入水屮，则 ________A、光的颜色、频率不变，而波长、波速都变小B、光的颜色、频率、波长都不变，只由波速变小C、光的颜色、波长不变，而频率、波速都变小D、光的频率变小，而颜色、波长波速都不变三、仿真训练：1、现代物理学认为，光和实物粒了都具有波粒二象性。

下列事实屮突出体现波动性的是A.一定频率的光照射到锌板上，光的强度越大，单位时间内锌板上发射的光电子就越多B.肥皂液是无色的，吹出的肥皂泡却是彩色的C.质量为10'3 kg.速度为10~2 m/s的小球，其徳布罗意波长约为10~23 m,不过我们能清晰地观测到小球运动的轨迹D.人们常利用热屮子研究晶体的结构，因为热屮子的徳布罗意波长与晶体屮原子间距大致相同2、某种单色光照射某种金属而发生光电效应现象，为了提高发射出的光电了的最大初动能，则应该 ( )A.使入射光强度增大；B.使光照时间延长；C.使入射光频率增大；D.换一种逸岀功更小些的金属3、如图所示，光电管的阴极K的用极限波长为2, =5(X)0 的钠制成。

现用波长为3000 A °的紫外照射阴极。

光电管阳极A和阴极KZ间的电势差为2.1V时，测得饱和电流的值为I m=0.56/zA ,求:(1)每秒钟由阴极K发射的电了数；(2)光电子达到阳极的最大动能；(3)如果电势差不变而照射光强度增加到原来的三倍，此时电子到达A极的最大动能为多大？4、有甲、乙两种不同颜色的光平行于凸透镜主光轴入射到凸透镜上，其光路如图所示，则在下列各种说法屮正确的是：（）A.凸透镜的焦点即图中的P点；B •色光甲的光了能量比色光乙的光了能量小；C.某种玻璃对色光I卩的折射率比对色光乙的折射率小些；D.色光甲在水屮的传播速度比色光乙在水屮的传播速度大些。

上海市华师大二附中自主招生高考数学应试辅导第1讲近年来自主招生试卷解读、应试策略、集合

第一讲近年来自主招生数学试卷解读集合与命题————————————————————————————————————————————第一部分近年来自主招生数学试卷解读一、各学校考试题型分析：交大：题型：填空题10题，每题5分；解答题5道，每题10分；考试时间：90分钟，满分100分；试题难度：略高于高考，比竞赛一试稍简单；考试知识点分布：基本涵盖高中数学教材高考所有内容，如：集合、函数、不等式、数列（包括极限）、三角、复数、排列组合、向量、二项式定理、解析几何和立体几何复旦：题型：试题类型全部为选择题（四选一）；全考试时间：总的考试时间为3小时（共200道选择题，总分1000分，其中数学部分30题左右，，每题5分）；试题难度：基本相当于高考；考试知识点分布：除高考常规内容之外,还附加了一些内容,如：行列式、矩阵等；考试重点：侧重于函数和方程问题、不等式、数列及排列组合等同济：题型：填空题8题左右，分数大约40分，解答题约5题，每题大约12分；考试时间：90分钟，满分100分；试题难度：基本上相当于高考；考试知识点分布：常规高考内容二、试题特点分析：1. 突出对思维能力和解题技巧的考查。

关键步骤提示：2. 注重数学知识和其它科目的整合，考查学生应用知识解决问题的能力。

关键步骤提示：()()()4243222342(2)(2)(1)(2)(1)f a x x a x x xx x x a x x x =--++-=+-+++-111(,),(,),(,)nnni i i ii i i i i i id u w a d v w b d u v a b a b a b ======-+≥-∑∑∑由绝对值不等式性质，三、应试和准备策略 1. 注意知识点的全面数学题目被猜中的可能性很小，一般知识点都是靠平时积累，因此，要求学生平时要把基础知识打扎实。

剩下的就是个人的现场发挥。

2. 注意适当补充一点超纲内容如上面提及的一些平时不太注意的小章节或高考不一定考的问题，如矩阵，行列式等也不可忽视。