上海交通大学外国留学生本科入学考试

交大ib11月入学考试内容
交大IB11月入学考试主要涵盖以下几个方面的内容：
1. 数学，数学是IB课程的核心科目之一，考试内容包括代数、几何、函数、微积分等。

可能涉及的具体知识点包括方程、不等式、三角函数、导数、积分等。

考试形式可能包括选择题、计算题和证
明题等。

2. 英语，英语是IB课程的另一个核心科目，考试内容主要涉
及阅读理解、写作、听力和口语。

阅读理解可能涉及各种文章类型，包括新闻报道、科学文献、社论等。

写作可能要求学生根据所给材
料或主题进行议论文或说明文的写作。

听力和口语可能包括听力理
解和口语表达能力的测试。

3. 科学，IB课程的科学科目包括物理、化学和生物三个方向。

考试内容可能涉及这些科目的基本概念、实验原理和数据分析等。

具体的知识点可能包括力学、热力学、化学反应、生物进化等。

4. 个人陈述，个人陈述是考察学生对自己的了解和表达能力的
一部分。

考试可能要求学生写一篇关于自己的介绍，包括自己的兴
趣爱好、学术经历、志愿活动等。

这部分考察学生的写作能力和自
我推销能力。

此外，考试还可能包括其他科目，如历史、地理、经济等，具
体内容可能根据学校和课程设置有所不同。

考试形式可能包括笔试、口试、面试等。

总之，交大IB11月入学考试内容涵盖数学、英语、科学和个人
陈述等多个方面，考察学生的学科知识、语言能力、写作能力和个
人表达能力。

考生需要充分准备，掌握相关知识和技能，以取得好
成绩。

上海交通大学外国留学生本科入学考试〔样题〕科目：数学〔理科〕 建议用时：90分钟一、 选择题 (每题4分, 共48分)1. 设2{|1},{|4},P x x Q x x =<=<那么P Q = ( ) (A) {|12}x x -<< (B){|31}x x -<<- (C) {|14}x x <<-(D){|21}x x -<<2．复数=+4)11(i( )(A) i 4 (B) i 4- (C) 4 (D) 4-3. 不等式21≥-x x 的解集为( )(A) ),1[∞+- (B) )0,1[- (C)]1,(--∞ (D)),0(]1,(∞+--∞4. 计算：(1)(2)lim(21)(21)n n n n n →∞++=-+( )(A) 1(B)21(C)41(D) 45. 以下函数中，偶函数的是 〔 〕)(A ()02>=x x y)(B ()0<=x x y )(C ()R x xy ∈=32)(D ()R x xy ∈=316．过点()0,1且与直线022=--y x 平行的直线方程是 ( ) (A) 012=+-y x (B) 012=--y x (C)022=-+y x (D) 012=-+y x7. 假设直线043=++k y x 与圆05622=+-+x y x 相切,那么=k( )(A) 1或19- (B) 10或1- (C) 1-或19- (D) 1-或198．假设2cos sin 2cos sin =-+αααα，那么=αtan〔〕(A)43(B)- 1 (C)1(D)34-9．圆02222=+-+my x y x 的圆心在直线0=+y x 上，那么实数m 的值为 ( ) (A) 1 (B)－1 (C)2 (D)－210. 从5名演员中选3人参加表演，其中甲在乙前表演的概率为 ( )(A)201 (B) 103 (C) 203(D) 5111．函数234x x y x --+=的定义域为 〔 〕(A)[4,1]- (B)[4,0)- (C)(0,1] (D) [4,0)(0,1]-12. ABC ∆的顶点B 、C 在椭圆2213x y +=上，顶点A 是椭圆的一个焦点，且椭圆的另外一个焦点在BC 边上，那么ABC ∆的周长是 ( ) (A)43 (B)6 (C)3 (D) 12二. 填空题: 〔每题5分，共40分〕13. 方程1)3lg(lg =++x x 的解=x 14. 等差数列{}n a 中，12543=++a a a ，那么=++++7621a a a a15．()a b x →=→=()121，，，，且a b →+→2与2a b →-→平行，那么x =16. 函数)21(log 221++=x x y 的值域是17. 圆07622=--+x y x 与抛物线)0(22>=p px y 的准线相切，那么抛物线的方程是18. 与双曲线12422=-y x 有相同的焦点，且经过点)1,2(P 的椭圆方程是19. 设a 为常数且0≠a ，9)(a x +和8)1(+ax 这两个展开式中4x 的系数相等，那么a =20. 过点(2,-2),且与双曲线2222=-y x 有相同渐近线的双曲线方程为_____________三. 解答题 (每题6分, 共12分)21. 函数,cos cos sin 3)(2m x x x x f ++=其中⎥⎦⎤⎢⎣⎡-∈3,6ππx ，R m ∈ 假设)(x f 的最小值为2，求)(x f 的最大值22．F 是抛物线x y 42=的焦点，B A ,是抛物线上的两个点，线段AB 的中点为)2,2(M ，求ABF ∆的面积参考答案〔理科〕一. 选择题: 〔每题4分，共48分〕二. 填空题: 〔每题5分，共40分〕13. 2 17. x y 42=14. 28 18. 12822=+y x 15. 12 19. 9516. -∞(，]2 20. 14222=-x y三. 解答题: 〔每题6分，共12分〕21. 解：.21)62sin(22cos 12sin 23)(m x m x x x f +++=+++=π．.27)(,6,262,25)62sin()(.2.)6()(,36max min ===+∴++=∴==-=≤≤-x f x x x x f m m f x f x 时即当由已知时当πππππππ22. 2。

A Levels 国际课程入学测试English (B)I．Grammar and V ocabulary（20mins）Directions：Beneath each of the following sentences there are four choices d A , B , C andD ,choose the one answer that best completes the sentence.1、Stop making so much noise ____ the neighbor will start complaining.A、or elseB、but stillC、and thenD、so that2、We hope to go to the beach tomorrow, but we won’t go ____ it’s raining.A、ifB、whenC、thoughD、because3、——The weather is too cold ____ March this year.——It was still ____ when I came here years ago.A、for; colderB、in; coldC、in; hotD、for; hotter4、——How much vinegar did you put in the soup?——I’m sorry to say, ____. I forget.A、noB、no oneC、nothingD、none5、He is only too ready to help others, seldom, ____, refusing them when they turn to him.A、if neverB、if everC、if notD、if any6、——What should I wear to attend his wedding party?——Dress ____ you like.A、whatB、howeverC、whateverD、how7、——The research on the new bird flu virus vaccine is challenging and demanding.Who do you think can do the job?——____ my students have a try?A、ShallB、MustC、WillD、May8、I’d like to live somewhere ____ the sun shines all year long.A、whichB、thatC、whereD、in which9、I ____ to go for a walk, but someone called and I couldn’t get away.A、was planningB、plannedC、had plannedD、would plan10、——Y our book, Tommy?——No, Mom, it’s my friend’s.——Remember to return it to ____ name is on it.A、whatB、whichC、whoseD、whosever11、——The dinner was delicious!——I agree. I am so full.——That’s too bad. But some dessert ____.A、has orderedB、will be orderedB、C、has been ordered D、was going to be ordered12、——This wall of air is an effective answer to the problem and it ____ work.——But it is a question to put such a wall of air around the statue.A、mayB、mustC、shouldD、could13、We should know that we can only reach the top if we are ready to ____ and learn fromfailure.A、deal withB、depend onC、carry onD、go with14、——Good evening. I ____ to see Miss Jessic.——Oh! Good evening. I’m sorry, but she is not in.A、cameB、comeC、have comeD、had come15、——Please call me at 8:00 tomorrow morning. I’m kind of forgetful.——Don’t worry about that, you’ll be surely ____.A、remindedB、toldC、warnedD、informed16、——What’s the matter with Tim?——Oh, Tim’s cellphone was left in a taxi accidentally, never ____ again.A、to findB、to be foundC、findingD、being found17、A terrible earthquake happened in that district at the end of 2004, ____ many countries inthe world paid close attention to this.A、whereB、whenC、whichD、what18、——How come a simple meal like this costs so much?——We have ____ in your bill the cost of the cup you broke just now.A、addedB、includedC、containedD、charged19、——Y ou didn’t wait for Mr. Black last night, did you?——No, but we ____. He didn’t return home at all.A、couldn’t haveB、needn’t haveC、didn’t need toD、should wait have20、——How do you think I should receive the reporter?——____ you feel about him, try to be polite.A、HowB、WhatC、WhateverD、However21、——Tomorrow ____ my birthday. I’d like you and Jane to come.——I’m not sure if she ____ free.A、will be; isB、is going to; isC、is; isD、is; will be22、——Do you have anything in mind ____ you’d like for supper?——Well, ____ is okay with me.A、that; anythingB、which; everythingC、what; whateverD、where; something23、Parents are advised to take pressure ____ a child and give him some encouragement beforean exam.A、offB、outC、fromD、away24、The generous donation from China to the sufferers in the killing Indian OceanQuake-tsunami has ____ the Chinese people’s unselfishness and internationalism.A、let outB、brought outC、given outD、taken out25、My command of English is not ____ yours.A、as half asB、so half good asC、good as half asD、half so good as26、I know the man by ____ but I have never spoken to him.A、chanceB、heartC、sightD、experience27、____ nearly all behavior is learned behavior is a basic assumption of social scientists.A、/B、ThatC、It is acceptableD、When28、——Mary, what would you say to a holiday for the weekend?——____. I am simply tired of life here.A、Y ou’re taken the words out of my mouthB、Enjoy yourselfC、I can’t afford the timeD、Where should we go?29、A British man who ____ to play practical jokes ____ his own humorous art work in fourmajor New Y ork museums over the last two weeks.A、liked; has secretly hungB、likes; has secretly hungC、had liked; secretly hungD、has liked; secretly hung30、Shanghai is the first city in the world ____a high-speed maglev train, from the city toPudong Airport.A、to buildB、to be builtC、to have builtD、to have been builtII．Reading (10 mins)（A）Hunting for a job late last year, lawyer Gant Redmon stumbled across CareerBuilder,a job database on the Internet. He searched it with no success but was attracted by the site's"personal search agent". It's an interactive feature that lets visitors key in job criteria such as location, title, and salary, then E-mails them when a matching position is posted in the database. Redmon chose the keywords legal, intellectual property, and Washington, D.C.Three weeks later, he got his first notification of an opening. "I struck gold," says Redmon, who E-mailed his resume to the employer and won a position as in-house counsel for a company.With thousands of career-related sites on the Internet, finding promising openings can be time-consuming and inefficient. Search agents reduce the need for repeated visits to the databases. But although a search agent worked for Redmon, career experts see drawbacks.Narrowing your criteria, for example, may work against you: "Every time you answer a question you eliminate a possibility." says one expert.For any job search, you should start with a narrow concept what you think you want to do then broaden it. "None of these programs do that," says another expert. "There's no career counseling implicit in all of this." Instead, the best strategy is to use the agent as a kind of tip service to keep abreast of jobs in a particular database; when you get E-mail, consider it a reminder to check the database again. "I would not rely on agents for finding everything that is added to a database that might interest me," says the author of a job-searching guide.Some sites design their agents to tempt job hunters to return. When CareerSite's agent sends out messages to those who have signed up for its service, for example, it includes only three potential jobs those it considers the best matches. There may be more matches in the database; job hunters will have to visit the site again to find them and they do. "Oh the! day after we send our messages, we see a sharp increase in our traffic," says Seth Peets, vice president of marketing for Career Site.Even those who aren't hunting for jobs may find search agents worthwhile. Some use them to keep a close watch on the demand for their line of work or gather information on compensation to arm themselves when negotiating for a raise. Although happily employed, Redmon maintains his agent at Career Builder. "You always keep your eyes open," he says.Working with a personal search agent means having another set of eyes looking out for you.1. How did Redmon find his job?A. By searching openings in a job database.B. By posting a matching position in a database.C. By using a special service of a database.D. By E-mailing his resume to a database.2. Which of the following can be a disadvantage of search agents?A. Lack of counseling.B. Limited number of visits.C. Lower efficiency.D. Fewer successful matches.3. The expression "tip service" (Line 4, Paragraph 3) most probably means ________.A. advisoryB. compensation C]. interaction D. reminder4. Why does CareerSite's agent offer each job hunter only three job options?A. To focus on better job matches.B. To attract more returning visits.C. To reserve space for more messages.D. To increase the rate of success.5. Which of the following is true according to the text?A. Personal search agents are indispensable to job-hunters.B. Some sites keep E-mailing job seekers to trace their demands.C. Personal search agents are also helpful to those already employed.D. Some agents stop sending information to people once they are employed.（B）In the age of reality television, success isn’t the only way to the public eye. Failure can also create fame, just like William Hung, 21, a native of Hong Kong.Hung recently has made an agreement with US-based entertainment firms Koch Records and Fuse Music Network. They will publish a full-length record, titled “The True Idol” on April 6.The idol (偶像) is a civil engineering student at the University of California at Berkeley. He did a version (改写本) of Ricky Martin’s “She Bangs” on the television show “American Idol 3", on January 27. The Fox TV singing contest searches for pop stars among ordinary people. In the case of Hung, however, his act was so bad that the judges cut him off in mid-act. Hung’s response? “I already gave my best, so I have no regrets at all.” That’s interesting, because any common person would have found plenty to regret: the off-key singing, the blue Hawaiian shirt worn with pants pulled up too high, the terrible dancing, the hips jerking (摇摆) to a beat that did not belong to the song, maybe not even to this planet. It was, by all accounts, bad.But, it was this very bad act that sold well.Marc Juris, president of Fuse, explained it this way: “Every one of us is happily guilty of singing our favorite song at the top of our lungs with complete freedom, completely off-key and completely unworried. That’s what William did and immediately won the hearts of America.”Whatever it is, for the moment it’s big. Three websites devoted to Hung have gone up on the Internet in the past few weeks. V ersions of his performance have been remixed with hip hop and techno music and have made it to the top 10 request list at a Chicago radio station.So, what does Hung think of this?“There were all these people saying things about me. A lot were saying I was very courageous and that I was great on the show, but some didn’t have much respect for me and some were kind of mean.”Now he says he’s not so sure whether to distance himself from the glamour (魅力) or to accept it. Returning to normal hasn’t been easy.6．What is the main idea of this passage?A．Sometimes an idol behaves quite foolishly.B．Hung's performance attracted the public eye.C．How an unsuccessful person became famous.D．Success sometimes does not require hard work.7．Hung was popular in America for all the following reasons EXCEPT ________ A．his shirt and pants B．his off-key singingC．his jerking hips D．his excellent version8．What does the underlined word “it” in paragraph 6 refer to?A．William Hung.B．Hung's bad performance.C．Hung’s website.D．The public’s opinion. 9．Which of the following shows the correct order of what happened to Hung?a．The entertainment firms made an agreement with Hung.b．The judges cut Hung off in mid-act in the singing contest.c．Hung became popular among Americans.d．Hung gave a terrible performance though he tried his best.e. Three websites put Hung’s funny performance on the Internet.A．d, b, e, c, a B．a, c, d．b, e C．a, d, b, c, e D．d, b, a, e, c 10．Why was Hung able to win the hearts of America?A．His success was based on luck rather than his own hard work.B．He attracted people’s attention and won wide praise in the contest.C．He was good-looking in his pants and shirt th ough he didn’t sing well.D．In the contest he did what every one of us is happy to do in daily life.答案B卷单选１－５ＡＡＡＤＢ６－１０ＢＡＣＣＤ１１－１５ＣＣＡＣＡ１６－２０ＢＢＢＣＤ２１－２５ＤＡＡＢＤ２６－３０ＣＢＡＢＣ阅读1-5 CADBC 6-10 CDBAD。

上海交通大学外国留学生本科入学考试（样题）科目：中国概况及世界近现代史（文科）建议用时：_60_分钟一填空题（每个空格1分，共计25分）1. 中国古代与阿拉伯和欧洲进行丝绸贸易的一条陆上通道被称为。

2. 1984年，为了解决台湾问题，邓小平提出了“”的方针。

3. 北宋时期，发明了活字版印刷，极大地提高了印刷效率，促进了文化的传播与发展。

4.西安最著名的名胜是，它被人们称为“世界第八大奇迹”。

5.中国外交政策的根本原则用一句话来说就是。

6．在中国刑事案件的侦查、拘留、预审都由司法机关中的负责。

7. 原始社会末期，黄河流域以黄帝为首的部落和以炎帝为首的部落结盟，形成中华民族的祖先，所以中华民族又称为。

8. 1989年国家宣布开发，通过开发这一地区，带动上海和长江三角洲以至全国的经济发展。

9. 亚洲地区国家自古以来受中国历史文化影响很大，从而逐渐形成了地球上的。

10.明朝李时珍写的《》记载了近2000余种药物，是中医经验总结性著作，在世界医学史上具有重要意义。

11.1905年，伟大的资产阶级革命家孙中山在日本建立了中国第一个资产阶级政党同盟会，并成功地发动了，推翻了中国两千多年的封建统治。

12. 提出“仁政说”，认为“民为贵，社稷次之，君为轻”，这在当时具有十分进步的思想意义。

13. 中国对外贸易的基本政策是。

14. 1937年7月7日，在北京附近发生了“”，中国军队奋勇抗战，标志中国的抗日战争开始。

15. 由于季风周期性变化和地势等因素影响，中国的气候具有、雨热同季的特征。

16. 中国两个最大的淡水湖鄱阳湖和洞庭湖都地处平原。

17. 根据中国国的行政区划，全国共有各省级行政区，其中面积最大的是。

18 .两千多年以前的春秋战国时代，社会变革剧烈，思想活跃，形成了著名的“”局面，产生了众多的思想学派。

19. 对美国废除黑奴制度起到决定性作用的是的发表。

20.1941年12月7日，日本偷袭珍珠港，标志的爆发。

2019年上海交通大学国际本科生入学考试大纲数学一、考试目的上海交通大学留学生本科入学数学考试，是以报考我校的具有高中毕业学历的外国学生为对象而进行的选拔考试。

数学考试旨在测试考查考生的数学素养，包括数学基础知识与基本技能、逻辑推理能力、运算能力、空间想象能力、数学应用与探究能力。

二、考试基本要求留学生本科入学数学考试测试考生各项数学素养如下：1.记忆。

能识别或记住有关的数学事实材料，使之再认或再现；能在标准的情景中作简单的套用，或按照示例进行模仿；2.解释性理解。

明了知识的来龙去脉，领会知识的本质，能用自己的语言或转换方式正确表达知识内容；在一定的变式情境中能区分知识的本质属性与非本质属性，会把简单变式转换为标准式，并解决有关的问题；3.探究性理解。

能把握知识的本质及其内容、形式的变化；能从实际问题中抽象出数学模型或作归纳假设进行探索，能把具体现象上升为本质联系，从而解决问题；会对数学内容进行拓展或对数学问题进行延伸，会对解决问题过程的合理性、完整性、简捷性作有效的思考。

三、试卷结构汉语考试釆用笔试的方式进行。

笔试共25题，满分100分。

汉语笔试要求考生在90分钟内完成。

答案必须写在答题纸上，写在试卷上无效。

对进入考场的计算器品牌和型号不作规定，但附带计算器功能的无线通讯工具、记忆存储等设备和附带无线通讯功能、记忆存储功能、具有图像功能的计算器不得带入考场。

按测量目标划分:四、考试内容和要求文理科共同考试内容：一、集合与命题：集合及其表示、子集、交集、并集、补集；命题的四种形式；充分条件、必要条件、充分必要条件；子集推出关系。

二、不等式：不等式的基本性质及其证明；基本不等式；一元二次不等式（组）的解法；分式不等式的解法；含有绝对值的不等式的解法。

三、数列与数学归纳法：数列的有关概念；等差数列；等比数列；简单的递推数列；数列的极限；无穷等比数列各项的和；数列的实际应用问题；数学归纳法；归纳-猜测-论证。

上海交通大学外国留学生本科入学考试大纲数学【考试要求】考试对象为报考上海交通大学的国外留学生，为上海交通大学各院系录取新生提供考生知识能力方面的信息。

数学考试旨在考查中学数学的基础知识、基本技能和思维能力、运算能力，以及运用有关数学知识分析问题和解决问题的能力。

【考试形式】考试题型为选择题，填空题和解答题；数学各部分内容在试卷中的占分比例：代数：约50%左右三角：约20%左右平面解析几何：约30%左右【参考书目】《数学》（高一、高二年级第一学期和第二学期用书）上海市高级中学课本上海中小学课程教材改革委员会编上海教育出版社出版、发行【考试内容】（标记“*”部分仅为理科考试内容）（一）代数部分1.集合：理解集合及其表示，掌握子集、交集、并集、补集的概念，了解空集和全集的意义，了解属于、包含、相等关系的意义，能掌握有关的术语和符号，能正确表示一些简单的集合。

2.不等式：掌握区间符号的表达，会解一元一次不等式（组）、一元二次不等式；掌握简单的分式不等式，简单绝对值不等式，简单无理不等式的解法；掌握不等式的性质，会应用基本不等式（a2+b2≥2ab,abba≥+2）。

3.函数：理解函数的定义域，值域，奇偶性，增减性的概念；了解反函数的意义，掌握反函数求法；理解一次函数、反比例函数的概念，掌握它们的图像性质和解析式。

理解二次函数的概念以及图像和性质，会求二次函数的解析式及最大，最小值，能灵活运用二次函数的性质解决有关问题。

4.指数和对数函数：理解指数与对数的概念，掌握有关的性质和运算法则；理解指数函数、对数函数的概念，掌握它们的图像和性质，解决与之相关的问题；会解简单的指数方程和对数方程，会解简单的指数不等式和对数不等式。

5.数列和极限：理解等差数列与等比数列的概念，掌握等差数列与等比数列的通项公式及前n项和的公式；了解极限的意义，掌握数列极限的四则运算法则，会求公比的绝对值小于1的无穷等比数列的和。

6.复数：理解复数的概念，复数的模，及其几何意义；掌握复数的四则运算；会在复数范围内解实系数一元二次方程。

上海交通大学外国留学生本科入学考试大纲汉语一、考试目的留学生本科入学英语考试是为交通大学留学生招生而进行的选拔考试。

汉语考试旨在测试考查考生汉语理解和语言运用能力，考查考生适应实际需要的识字写字能力、阅读能力、写作能力，以及综合运用所学语文知识解决实际问题的能力，考察考生是否达到中等汉语水平。

二、考试基本要求留学生本科入学汉语考试测试考生的汉语理解和语言运用能力。

1.识记。

认读常用的汉字，辨析并正确使用词语.2.理解。

体会和推敲重要词句在语言环境中的意义和作用；3.分析综合。

从整体的角度着眼，分解剖析和归纳整理语言材料。

整体把握文章大意，从中获取重要信息；准确概括段意或层意，归纳文章的中心；根据不同的写作目的，搜集、选择合适的写作材料。

4.表达应用。

指对语文知识、能力及方法的综合运用，考查考生对人生、社会和自然的正确认识和表达思想的能力。

能写感情真挚、思想健康、内容具体、中心明确的文章。

5.欣赏评价。

指对语言材料或生活现象的赏析和评说，考查考生在阅读中，品味文学作品中富有表现力的语言；在写作中，对自然、社会和人生，有自己的独特感受和真切体验。

四、答题要求汉语笔试要求考生在120分钟内完成。

答案必须写在答题纸上，写在试卷上无效。

五、考试内容和要求第一部分汉语基础知识及其运用1. 认读汉字，规范、熟练地书写常用汉字。

2. 对常用汉字，能认清字形，掌握基本意义，并结合语言环境理解词语。

3. 区分多义词，同义词反义词。

4. 区分词的感情色彩：褒义词、贬义词、中性词。

5. 积累并会运用常用成语。

6. 正确使用相应的关联词。

7. 正确使用标点符号。

8. 辨析句子中所用的修辞手法。

9. 借助所学知识仿写、变换、归纳写成简单的句子。

10.了解中国古代优秀古诗文的语句以及现代主要作家的作品。

第二部分阅读理解1.整体把握文章大意，从中获取重要信息。

2.理清文章思路，把握主要内容。

3.准确概括段意或层意，归纳文章中心。

上海交通大学外国留学生本科入学考试大纲数学【考试要求】考试对象为报考上海交通大学的国外留学生，为上海交通大学各院系录取新生提供考生知识能力方面的信息。

数学考试旨在考查中学数学的基础知识、基本技能和思维能力、运算能力，以及运用有关数学知识分析问题和解决问题的能力。

【考试形式】考试题型为选择题，填空题和解答题；数学各部分内容在试卷中的占分比例：代数：约50%左右三角：约20%左右平面解析几何：约30%左右【参考书目】《数学》（高一、高二年级第一学期和第二学期用书）上海市高级中学课本上海中小学课程教材改革委员会编上海教育出版社出版、发行【考试内容】（标记“*”部分仅为理科考试内容）（一）代数部分1.集合：理解集合及其表示，掌握子集、交集、并集、补集的概念，了解空集和全集的意义，了解属于、包含、相等关系的意义，能掌握有关的术语和符号，能正确表示一些简单的集合。

2.不等式：掌握区间符号的表达，会解一元一次不等式（组）、一元二次不等式；掌握简单的分式不等式，简单绝对值不等式，简单无理不等式的解法；掌握不等式的性质，会应用基本不等式（a2+b2≥2ab,abba≥+2）。

3.函数：理解函数的定义域，值域，奇偶性，增减性的概念；了解反函数的意义，掌握反函数求法；理解一次函数、反比例函数的概念，掌握它们的图像性质和解析式。

理解二次函数的概念以及图像和性质，会求二次函数的解析式及最大，最小值，能灵活运用二次函数的性质解决有关问题。

4.指数和对数函数：理解指数与对数的概念，掌握有关的性质和运算法则；理解指数函数、对数函数的概念，掌握它们的图像和性质，解决与之相关的问题；会解简单的指数方程和对数方程，会解简单的指数不等式和对数不等式。

5.数列和极限：理解等差数列与等比数列的概念，掌握等差数列与等比数列的通项公式及前n项和的公式；了解极限的意义，掌握数列极限的四则运算法则，会求公比的绝对值小于1的无穷等比数列的和。

6.复数：理解复数的概念，复数的模，及其几何意义；掌握复数的四则运算；会在复数范围内解实系数一元二次方程。

上海交通大学外国留学生本科入学考试（样题）科目：物理（理科） 建议用时：__45_分钟1． （1分）关于能量转化有下列说法：[ ]①太阳能热水器把太阳能转化为水的内能； ②电热水器把电能转化为水的内能； ③燃气热水器把电能转化为水的内能； ④空调把空气的内能转化为电能． 其中正确的是A ．①②B ．①③C ．②③ D.①④ 2． （1分）如图所示的电场中， 下列关于A 点和B 点相比较的说法中正确的是[ ]A.B A E E =B.B A U U <C. B A E E <D. B A U U > 3． （1分）若某种媒质相对于空气的临界角是A ，真空中的光速是C ，那么光在这种媒质中的速率是：[ ]A ． CsinAB ．C/sinAC ．sinA/CD ．C4． （1分）下列各图为电流产生磁场的分布图，正确的分布图是[ ]IIII①②③④A.①③B. ②③C. ①④D.②④5．（1分）一质点作简谐运动，其位移x与时间t的关系曲线如图所示．由图可知，在t =4s 时，质[ ]A．速度为正的最大值，加速度为零B．速度为负的最大值，加速度为零C．速度为零，加速度为正的最大值D．速度为零，加速度为负的最大值6．（1分）在下列情况中，物体机械能守恒的是[ ]A.物体沿斜面匀速滑下B.降落伞在空中匀速下降C.不计空气阻力，斜向上抛出的物体在空中运动过程中D.起重机吊着重物加速上升7．7．（1分）某同学在单杠上做引体向上，如下图所示。

其中双臂用力最小的是[ ] t/sx0 2 46 A8． （1分）一物体以6m/s 的速度匀速运动了18m 后冲上一斜坡，在斜坡上又前进了18m ，速度刚好为零，则该物体在全程的平均速度大小为[ ]A.3m/sB.4m/sC.4.5 m/sD.5 m/s9． （1分）如下图表示一条放在磁场里的通电直导线，导线与磁场方向垂直，图中已经分别标明电流、磁感应强度和安培力三者方向的关系，其中正确的是[ ] 10．（1分）某放射性元素的原子核X 经过一次α衰变后，衰变为另一种元素的原子核Y ，则Y 与X 相比较，减少了[ ]A.1个质子、3个中子B.3个质子、1个中子C.2个质子、2个中子D.3个质子、2个中子11．（每空格0.5分，共1.5分）人类对光的本性的认识经历了曲折的过程，提出了各种学说：微粒说、波动说、电磁说、光子说等。

上海交通大学留学生本科入学考试-英语上海交通大学外国留学生本科入学考试（样题）科目：英语（文理科）建议用时：90分钟Section One: Grammar and Vocabulary (30%)Direction: Beneath each of the following sentences there are four choices marked A, B,C and D. Choose one answer than best completes the sentence.1. Be sure to come to my party, _________?A. aren’t youB. can youC. will youD. mustn’t you2. She was elected _______leader of the team, and ______leader of the team shouldhave the ability of collaboration.A. /…theB. the…theC. the…/D. /…/3. The man broke into the house only ______ immediately.A. to catchB. caughtC. being caughtD. to be caught4 . _______(find) no one at the office, he locked the door and went home.A. FindingB. To findC. Having been foundD. To be found5. Shoe of this kind ______ very comfortable.A. has been wornB. wearC. is wearingD. are worn6. ______ on earth was it that aroused the suspicion in the policemen?A. HowB. WhatC. WhichD. /7. Jane and Helen are twin sisters and ______ is easily mistaken for the other.A. oneB. the oneC. sheD. another8. In recent years much more emphasis has been put ___________ developing thest udents’ creative ability.A. ontoB. inC. overD. on9. _______he is, ________ he feels.A. Busy… happyB. Busier …happierC. The busier…the happierD. Busier…happiest10. Hardly had he entered the room _____ everyone present burst into cheers.A. thanB. whenC. asD. since11. ____ much advice I gave him, he did exactly what he wanted to.A. HowB. WhateverC. No matterD. However12. ---I hear that novel is really interesting.---It is ________ interesting. I've never read a better novel.A. not at allB. anything butC. not a bitD. more than13. _____ has been planned that we'll leave the next step on you.A. ItB. WhatC. AsD. Such14. By the time Jane gets home, her aunt ____ for London to attend a meeting.A. will leaveB. leavesC. will have leftD. left15. Jason is fashionable, but to tell the truth, he wears of my friends.A. more fashionablyB. the most fashionablyC. less fashionablyD. the least fashionably16. The possibility never occurred to me _____ I would be unexpectedly admitted intosuch a famous university.A. whenB. thatC. whatD. how17. Thousands of Brazilians cheered Rio’s successful bid of 2016 Olympics in the streets,many of ________ even cried with joy.A. thoseB. themC. whomD. which18. Sounding like a great idea, ______ he said was accepted by all present immediately.A. WhichB. All whatC. thatD. What19. ______by what everyone says about him, he has a good chance of winning.A. JudgeB. To JudgeC. Having JudgedD. Judging20. We could do nothing but _____.A. waitB. to waitC. waitingD. waited21. His movie won several awards at the film festival, was beyond his wildest dream.A. whichB. thatC. whereD. it22. If we are not gifted with language ability, we can _______ it by practising hard.A. make up ofB. make up forC. make offD. make out23. Not having heard about her beloved son for years, she is ________ to see him.A. desperateB.reluctantC. unwillingD. favorable24. Thanksgiving day is an important festival in America, which ___________the 18th century.A. comes up toB. looks back onC. pass on toD. goes back to25. I don’t speak Russian; will you ______ what she says for me?A. understandB. recognizeC. verifyD. interpret26. She _______ the mine rescue live in Chile for BBC news.A. alteredB. coveredC. pieced togetherD. checked27. Cobbie is my favourite basketball player. I regard him____ other players.A.superiorer thanB. superior thanC. more superior thanD. superior to28. The more expensive articles are not ______ better.A. narrowlyB. necessarilyC. fullyD. widely29. People prefer to go shop in supermarkets, where you have ________ goods to choosefrom.A. a range ofB. a kind ofC. a variety ofD. a plenty of30. Mary Smith is quite expert in gardening so that she is ______ to win the yearly Gardener Award.A.orderedB. involvedC. guaranteedD. determinedSection Two: Cloze (20%)Direction: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or the phrase that best fits the context.There are many ways of defining success. It is accurate to say that __1___ of us has our own concept of success to the extent that we are responsible for setting our own goals and determining ___2___ we have met these goals satisfactorily. Because we possess unique differences in genetic ability and favorable environments in which to express these abilities, it is necessarily true that we must define success ___3___.For some people, simply ___4___ able to live their life with a minimum of misery and suffering is ___5____ a success. Think of the peace of mind of the poor shepherd who tends his sheep, enjoys his frugal life with his family in the beauty of nature, and who is respected because he does a good job of achieving the goals expected of and accepted by his and his society. __6__ the other hand, it seems that ___7____ somepeople appear to be rich in material possessions, many of them seem to be miserable and consider themselves unsuccessful when ___8___ by their own standards of success. Because not all ventures can be successful, one should not set unrealistic goals for achieving success, but if one has self-confidence it would be unfortunate to set one's goals at ___9___ low a level of achievement.A wise counselor once said to a young man who was experiencing frustration with his own professional success: "You do not have to set your goal to reach the moon in order to have success in traveling. Sometimes one can be very successful merely by taking a walk in the park or riding the subway downtown," The counselor added, " You have not really failed and spoiled your chances for success until you have been unsuccessful at something ___10___you really like, and to which you have given you best effort."1. A. each B. every C. everyone D. all2. A. that B. whether C. when D. how3. A. broadly B. broad C. largely D. large4. A. to be B. are C. their D. being5. A. regarded B. thought of C. viewed D. considered6. A. On B. To C. In D. At7. A. since B. as C. as if D. even if8. A. judging B. judged C. to be judged D. to be judging9. A. too B. so C. even D. though10. A. / B. what C. which D. asSection Three: Reading Comprehension(30%)Direction: There are 2 passages in this part. Each passage is followed by some questions or unfinished statements. For each of them there are four choices marked A, B, C and D. You should decide on the best choice according to what you have read in the passage.（A）Humans should not try to avoid stress any more than they would shun food,love or exercise. Said Dr.Hans Selye,the first physician to document the effects of stress on the body. While here’s one question that continuous stress is harmful,several studies suggest that challenging situations in which you’re able to rise to the occasion can be good for you.In a 2001 study of 158 hospital nurses,those who faced considerable work demands but coped with the challenge were more likely to say they were in good health than those who felt they could not get the job done.Stress that you can manage also boost immune(免疫的)function.In a study at theAcademic Center for Dentistry in Amsterdam,researchers put volunteers through two stressful experiences. In the first,a timed task that required memorizing a list followed by a short test,subjects believed they had control over the outcome.In the second,they were not in control:They had to sit through a gory(血淋的)video on surgical procedures.Thosewho did well on the memory test had an increase in levels of immunoglobulin A, an antibody that’s the body’s first line of defense against germs.Th e video－watchers experienced a downturn in the antibody.Stress prompts the body to produce certain stress hormones.In short bursts these hormones have a positive effect,including improved memory function.They can help nerve cells handle information and put it into storage,says Dr.Bruce McEwen of Rockefeller University in New York.But in the long run these hormones can have a harmful effect on the body and brain.Sustained stress is not good for you,says Richard Morimoto,a researcher at Northwestern University in Illinois studying the effects of stress on longevity,Its the occasional burst of stressorbrief exposure to stress that could be protective.1. What does the underlined word “shun” mean?A. avoidB. faceC. standD. recognize2. We can conclude from the study of the 158 nurses in 2001 that _______A. people under stress tend to have a poor memoryB. people who can’t get their job done experience more stressC. doing challenging work may be good for one’s healthD. stress will weaken the body’s defense against germs3. Which of the following statements is NOT TRUE?A. Stress to some degree, can boost immune function.B. Richard Morimoto studies the effects of stress on the body.C. According to the experiment by the Academic Center, the gory video watchers suffered from stress.D. Stress hormones can help nerve cells handle information.4. What’s an antibody?A. Immunoglobulin AB. Body’s first line of defense ag ainst germsC. A kind of stressD. Hormones5. What’s the best title for the passage?A. Stress helps us a lotB. Healing power of stressC. Stress and our lifeD. Coping with stress effectively(B)The experienced Danish stonecutter 46-year-old Flemming Brian Nielsen is going to make sure that the famous Little Mermaid is seen off from her spot in Copenhagen and arrives safely at the Danish Pavilion in Shanghai. He has worked as a stonecutter for 30 years and during his career, he has created new sculptures for artists, renovated old ones and moved them from one spot to another.Why were you selected to move the Little Mermaid?There is a very small market for this kind of business and, though it might sound pretentious, I am the most experienced in this field. It is impossible for me to keep track on how many statues and works of art I have moved but it must be several thousands. Have you worked with the Little Mermaid before?Not really, because she is made out of bronze and I work with stone. But I did remove some graffiti from her once in the early 80’ s after she had been targeted by vandals (the statue has repeatedly been subjected to vandalism, as for example on 11 September 2003 when unknown perpetrators toppled her from her stone).How will you move her?First I will measure up exactly how she sits on her rock at Langelinie so that she is placed in the same way in the Danish Pavilion. I will separate her from the rock underneath her, and later she will be lifted away by a crane to be taken by plane to Shanghai. Whenshe arrives, I will place her in the Harbour Pool inside the pavilion. I will bring my own tools to Shanghai to make sure that everything goes according to plan.Do you think the Little Mermaid will be safe during her journey and stay in Shanghai?I think she will be very safe. I don’t think that anyone will try to steal the Little Mermaid because she is too famous. I mean, what would they do with her? No one would buy her knowing that it was the real Little Mermaid.1. Where can this passage be found ?A．In a Web discussion zone. B．In a suggestion book.C．In a newspaper report D．In high school students’ compositions.2. What kind of job hasn’t Flemming Brian Nielsen ever done before?A. Removing graffiti from Litter MermaidB. Creating new sculptures for artistsC. Renovating old sculpturesD. Moving little Mermaid from Denmark to anywhere else3. Which of the following about “Little Mermaid” is TRUE?A. It’s made o ut of bronze and stone.B. The statue sits at Langelinie.C. She will be staying in Shanghai forever.D. She will be taken to Shanghai by a crane.4. What does the underlined word “vandalism” mean?A. Intentional damageB. Appropriate protectionC. Natural disasterD. Graffiti5. Why, according to Flemming Brian Nielsen, Little Mermaid will be safe during her stay in Shanghai?A. It’s too famous that no one would even steal or buy it.B. It’ll be well protected b y Flemming Brian Nielsen.C. It’ll be definitely taken good care of by the Chinese.D. It’ll be accompanied by bodyguards.(C)Five years ago, David Smith wore an expensive suit to work every day. “I was a clothes addict.” he jokes. “I used to carry a fre sh suit to work with me so I could change if my clothes got wrinkled.” Today David wears casual clothes—khaki pants and a sports shirt—to the office. He hardly ever wears a necktie. “I am working harder than ever.” David says, “and I need to feel comfortable.”More and more companies are allowing their office workers to wear casual clothes to work. In the United States, the change from formal to casual office wear has been gradual. In the early 1990s, many companies allowed their employees to wear casual clothes on Friday（but only on Friday）.This became known as “dress-downFriday” or “casual Friday”. “What started out as an extra one-day-a-week benefit for employees has really become an everyday thing.” said business consultant Maisly Jones.Why have so many companies started allowing their employees to wear casual clothes? One reason is that it’s easier for a company to attract new employees if it has a casual dress code.” “A lot of young people don’t want to dress up for work,” says the owner of a softwa re company, “so it’s hard to hire people if you have a conservative（保守的）dress code.” Another reason is that people seem happier and moreproductive when they are wearing comfortable clothes. In a study conducted by LeviStrauss and Company, 85 percent of employers said that they believe that casual dress improves employee morale（心境，士气）. Only 4 percent of employers said that casual dress has a negative influence on productivity. Supporters of casual office wear also argue that a casual dress code helps them save money. “Suits are expensive, if you have to wear one every day,” one person said. “For the same amount of money, you can buy a lot more casual clothes.”1．David Smith refers to himself as having been “a clothes addict,” because ________ . A．he often wore khaki pants and a sports shirtB．he couldn’t stand a clean appearanceC．he wanted his clothes to look neat all the timeD．he didn’t want to spend much money on clothes2．David Smith wears casual clothes now, because ________.A．they make him feel at ease when workingB．he cannot afford to buy expensive clothesC．he looks handsome in casual clothesD．he no longer works for any company3．According to this passage, which of the following statements is NOT TRUE? A．Many employees don’t like a conservativ e dress code.B．Comfortable clothes make employees more productive.C．A casual clothes code is welcomed by young employees.D．All the employers in the U. S. are for casual office wear.4．According to this passage, which of the following statements is TRUE? A．Company workers started to dress down about twenty years ago.B．Dress-down has become an everyday phenomenon since the early 90s. C．“Dress-down Friday” was first given as a favor from employers.D．Many workers want to wear casual clothes to impress people.5．In this passage, the following advantages of casual office wear are mentioned EXCEPT________.A ．saving employees’ moneyB ．making employees more attractiveC ．improving employees’ motivationD ．making employees happierSection Four: Composition (20%)Directions: Write a composition of about 120 words. It should be based on the following topic: My favorite book以“我最喜欢的一本书“为题，写一篇120字左右的作文，内容需包括：书名；书的内容；喜欢的原因。

上海交大中外本科招生简章上海交通大学中外本科招生简章一、招生计划概述1. 招生人数：每年约1000人；2. 招生类别：中外合作办学、港澳台学生、留学生等；3. 招生专业：共有39个专业，涵盖了工、理、管、人文、医等学科。

二、招生基本条件1. 基本学历：高中或同等学力；2. 英语要求：托福、雅思、SAT等国际通用英语考试成绩达到学校规定标准；3. 具备各个专业所需的基本技能和知识。

三、招生流程1. 在线报名：学生需要在规定时间内填写个人信息、填报志愿；2. 考试报名：根据学生填报的专业，报名参加学校统一组织的笔试和面试；3. 面试：面试主要考察学生的综合素质和专业素质；4. 录取：按照学生的笔试和面试成绩及综合素质进行录取。

四、优惠政策1. 奖学金：根据学生的成绩和表现，学校设有丰富的奖学金制度；2. 减免学费：给予符合条件的优秀学生一定的学费减免；3. 面向特殊群体的招生政策：如退役军人、残疾人、贫困学生等，学校为其另设专项计划。

五、教学模式1. 中外合作办学模式：学校引进海外著名大学先进的教学理念和课程体系，与国内本科教育相结合，形成独特的教学模式；2. 实践教学为主：学校注重实践教学，将实践教学贯穿于学生的整个学习过程中；3. 多元育人：学校注重培养学生的综合素质，引导学生积极参加体育、文艺和志愿服务等活动。

六、学生生活1. 学生住宿：学校为学生提供舒适的住宿环境，宿舍设施齐全；2. 学生活动：学校举办丰富多彩的学生活动，让学生丰富多彩的校园生活；3. 学生支持：学校设有学生资助中心，为学生提供各种综合服务和支持。

上海交通大学外国留学生本科入学考试（2010）语文－文科模拟试题（时间120分钟）一、汉语基础知识(30分)（一）选择题，完成1—10题。

（20分）1.下列各组词中划线字的注音没有错误的一项是A．落（luò）伍纤（qiān）维怠（tài）慢丢三落（là）四B．数（shǔ）说忏（chàn）悔狭隘（yì）不可胜（shēng）数C．主角（jué）汲（jí）取喘（chuǎn）气勾心斗角（jiǎo）D．哄（hōng）笑徘徊（huí）挑剔（tī）一哄（hòng）而散2.下列各组词语书写没有错误的一项是A．愤概瞻养辐射一筹莫展B．狼藉妨碍篮球迫不及待C．急燥侧隐倔强义气用事D．奔弛渊博迁徙直接了当3．对下列句子中划线词的词性，判断不正确的一项是A．大家都以为他不赞成，谁知他竟然表示同意。

（副词）B．他不过开个玩笑罢了，千万别当真。

（助词）C．关于牛郎星和织女星，民间有个美丽的传说。

（介词）D．我们是同时开始学习汉语的，你已经能当翻译了，而我还常常听不懂别人说的话。

（副词）4．根据句意，依次填写词语最恰当的是1）文物古迹是人类文明的__________，是祖先遗留下来的人类共同的财富。

2）从总体上看，我国环境恶化的趋势已基本得到控制，部分城市和地区的生态环境已经有所__________，为实现可持续发展奠定了基础。

3）我一直__________于科学世界的优美之中，我所热爱的科学不断地显现出它崭新的远景。

沉迷4）他没有从上次的错误中接受教训，__________这次又犯了更严重的错误。

A．标志变化沉迷以致B．标致改善沉醉以至C．标致变化沉迷以至D．标志改善沉醉以致5．下列句子中，对于成语的使用正确的一项是A．国庆节的晚上，广场上放起了烟火，像天花乱坠般，五彩缤纷，美丽极了。

B．如果能够掌握科学的学习方法，就会收到事倍功半的效果。

上海交通大学国际本科生招生考试数学科考试试卷（样卷）SJTU International Undergraduate Entrance Examination(Mathematics sample exam papers)第一部分: 下列问题有且仅有一个正确答案(每题3分, 共42分)Section 1: The following problems have one and only one correct answer.(3 points for each, 42 points total)1.设集合A={1,2,4},B={2,4,5}, 则A∩B=（）.If set A={1,2,4},B={2,4,5}, then A∩B=（）.（A）{2,4}（B）{1,2,4,5}（C）{1}（D）{1,5}2.函数y=(x−1)12+(4−x)−32的定义域为（）.The domain of the function y=(x−1)12+(4−x)−32is（）.（A）[1,4)（B）(−∞,1)（C）[4,+∞)（D）(1,4]3.下列公式中，正确的是（）.In the following formulae, t he one that must be correct is（）.（A）cos2x=2cos2x−1（B）cos2x=2sin2x−1（C）sin2x=2cos2x−1（D）sin2x=2sin2x−14.设m是实常数. 若直线l1:2x+my+1=0与直线l2:y=3x−1平行，则m=（）.Let m be a real number. If line l1:2x+my+1=0is parallel to line l2:y=3x−1, then m=（）.（A）−23（B）23（C）6（D）−65.设平面上的动点P 到定点F(2,0)的距离等于P到直线x+2=0的距离，则点P的轨迹方程为（）.If the distance from moving point P to point F(2,0)equals to the distance from P to the straight line x+2=0, then the trajectory equation of P is（）.（A）y2=8x（B）y2=−8x（C）x2=8y（D）x2=−8y6.下列函数中，在其定义域上是单调递减的函数是（）.In the following functions, the one that is decreasing in its domain is（）.（A ）y =2−x （B ）y =cot x （C ）y =1x 2+1（D ）y =x7. 下列选项中，正确的是（ ）.Among the following options, t he correct one is （ ）. （A ）y =x 3+1x 和 y =log 2(x +√x 2+1) 均是奇函数y =x 3+1xand y =log 2(x +√x 2+1) are both odd functions（B ）y =x 3+1x是奇函数，但 y =log 2(x +√x 2+1) 不是奇函数y =x 3+1xis an odd function but y =log 2(x +√x 2+1) is not an odd function（C ）y =log 2(x +√x 2+1)是奇函数，但 y =x 3+1x不是奇函数y =log 2(x +√x 2+1) is an odd function but y =x 3+1x is not an odd function （D ）y =x 3+1x 和 y =log 2(x +√x 2+1) 均不是奇函数neither y =x 3+1x nor y =log 2(x +√x 2+1) is an odd function8. 已知 {a n } 是等差数列, 且 a 2=12,a 8=18, 则 a 5=（ ）.Given that {a n } is an arithmetic sequence, and a 2=12,a 8=18, then a 5=（ ）. （A ）15 （B ）6√6 （C ）30 （D ）2169. 若函数 f (x ) 的反函数 f −1(x )=x 2 (x >0), 则 f (4)=（ ）.If the inverse function of f (x ) is f −1(x )=x 2 (x >0), then f (4)=（ ）. （A ）2 （B ）−2 （C ）16 （D ）−16 10. arctan (tan5π6)=（ ）.（A ）−π6（B ）π6（C ）−5π6（D ）5π611. 已知椭圆 Γ：x 2a 2+y 2b 2=1 的一个焦点是(−2√3,0). 若a =2b , 则b =（ ）.Let (−2√3,0) be one focus of the ellipse Γ：x 2a 2+y 2b 2=1. If a =2b , then b =（ ）. （A ）2 （B ）√605 （C ）4 （D ）12512.设a,b均为正实数, 则“a+b≤2” 是“a2+b2≤2” 的（）.Let a,b be positive real numbers, then statement “a+b≤2” is a（）for statement “a2+ b2≤2”.（A）必要但非充分条件necessary but not sufficient condition（B）充分但非必要条件sufficient but not necessary condition（C）既非充分又非必要条件neither sufficient nor necessary condition（D）充分且必要条件sufficient and necessary condition13.函数sin(2x+3)的导数是（）.The derivative of function sin(2x+3)is（）.（A）2cos(2x+3)（B）cos(2x+3)（C）-2cos(2x+3)（D）−cos(2x+3) 14.曲线y=x3+3x+1在点P(0,1)处的切线方程是（）.The tangential equation of curve y=x3+3x+1at point P(0,1)is （）.（A）3x−y+1=0（B）x−3y+3=0（C）3x+y−1=0（D）x+3y−3=0第二部分: 下列问题有且仅有一个正确答案(每题4分, 共48分)Section 2: The following problems have one and only one correct answer.(4 points for each, 48 points total)15.不等式1x−2<1x的解集为（）.The solution set of the inequality1x−2<1xis（）.（A）(0,2)（B）(1,3)（C）(−∞,−1)（D）(2,+∞)（E）(−1,0)16.已知等比数列{a n}的首项a1=1, 公比q=2, 则{a n}的前8项的和S8=（）.If the first term a1of the geometric sequence {a n}is 1, and the common quotient q=2, then the sum S8of the first 8terms of {a n}is（）.（A）255（B）127（C）63（D）511（E）51217.已知实数a,b满足22a−b=4a+b=3, 则a=（）.If real numbers a,b satisfy 22a−b =4a+b =3, then a =（ ）. （A ）log 43 （B ）log 23 （C ）log 32 （D ）log 34 （E ）log 42 18. 已知 a,b,1,2 的中位数是 3，平均数是 4，则 ab =（ ）.Let the median of a,b,1,2 be 3，the average of a,b,1,2 be 4，then ab =（ ）. （A ）36 （B ）22 （C ）30 （D ）40 （E ）4219. 已知点 P 在曲线 C:2x 2−4x +2y 2−12y =5 上，点 Q 在直线 x +y +3=0上，则点P 和 Q 之间点距离 |PQ | 的最小值为（ ）.If point P is on the curve C:2x 2−4x +2y 2−12y =5, and point Q is on the line x +y +3=0, then the minimum distance |PQ | between points P and Q is （ ）. （A ）√2 （B ）√22（C ）1 （D ）0 （E ）2 20. 设复数 z =√3+i , 其中 i 是虚数单位, 则 z 5=（ ）.Let complex number z be defined as z =√3+i , where i is the unit of imaginary numbers, then z 5=（ ）.（A ）−16√3+16i （B ）16√3+16i （C ）−16√3−16i （D ）16√3−16i （E ）16√3+16√3i21. 在所有两位数中，个位数和十位数之和事偶数的数有（ ）.In all two-digit numbers, the number of those which the sum of its ones digit and its tens digit is an even number is （ ）.（A ）45 （B ）25 （C ）40 （D ）20 （E ）5022. 若实数 x,y 满足 sinx cosy =45, siny cosx =15, 则 cos2x =（ ）.If real numbers x,y satisfy sinx cosy =45, siny cosx =15, then cos2x =（ ）. （A ）−35（B ）35（C ）45（D ）−45（E ）2523. 三位同学参加跳过、跳远和铅球项目的比赛. 若每人都选择两个项目, 则有且仅有两人选择的项目相同的概率是（ ）.Three students participated in high jump, long jump and shot put competitions. If everyone chooses two of these three items, then the probability that there are exactly two people choosing same items is （ ）.（A ）23（B ）13（C ）29（D ）19（E ）1624. 设双曲线 C ：x 2−y 23=1 的左右焦点分别为 F 1 和 F 2 . 若点 P 在 C 上，且sin ∠PF 2F 1sin ∠PF 1F 2=2, 则 cos ∠F 1PF 2=（ ）.Let the foci of the hyperbola C ：x 2−y 23=1 be F 1 and F 2, respectively. If point P is onC , such thatsin ∠PF 2F 1sin ∠PF 1F 2=2, then cos ∠F 1PF 2=（ ）.（A ）14（B ）−12（C ）16（D ）−15（E ）1325. 设 P −ABC 是棱长为 6 的正四面体，点 D,E,F 分别是三角形 ∆PAB ∆PBC ∆PAC的重心, 则三棱锥 P −DEF 的体积为（ ）.Let P −ABC be a tetrahedron whose edges have a length of 6 . If points D,E,F are the barycenter of triangles ∆PAB ∆PBC ∆PAC respectively, then the volume of the trigonal pyramid P −DEF is （ ）.（A ）4√23 （B ）√23 （C ）3√22（D ）2√2 （E ）4√226. 设数列{a n },{b n } , 和 {c n } 满足: 对任意正整数n , a n+1=(−1)n (a n 2+1) , b n =a n a n+1, c n =cos a n . 下列论断中正确的的是（ ）.Let sequences {a n },{b n }, and {c n } satisfy: for an arbitrary integer n , a n+1=(−1)n (a n 2+1) , b n =a n a n+1, c n =cos a n , then the one that must be correct in the following statements is （ ）.（A ）{b n } 是单调递减数列 {b n } is a decreasing sequence （B ）{b n } 是单调递增数列 {b n } is an increasing sequence （C ）{c n } 是单调递增数列 {c n } is an increasing sequence （D ）{a n } 是单调递增数列 {a n } is an increasing sequence （E ）{c n } 是单调递减数列 {c n } is a decreasing sequence第三部分: 下列问题有且仅有一个正确答案 (每题5分, 共10分) Section 3: The following problems have one and only one correct answer.(5 points for each, 10 points total)27. 设 A,B,C 是三角形 ∆ABC 的三个顶点，且对任意的实数 λ 恒有 |BA⃗⃗⃗⃗⃗ −λBC ⃗⃗⃗⃗⃗ |≥2|BC ⃗⃗⃗⃗⃗ |. 若 |BC⃗⃗⃗⃗⃗ |=1, 则三角形 ∆ABC 周长的最小值为（ ）. Let points A,B,C be the three vertices of triangle ∆ABC , such that for an arbitrary realnumber λ , the following always holds true: |BA⃗⃗⃗⃗⃗ −λBC ⃗⃗⃗⃗⃗ |≥2|BC ⃗⃗⃗⃗⃗ | . If |BC ⃗⃗⃗⃗⃗ |=1 , then the minimum value of the perimeter of the triangle ∆ABC is （ ）.（A ）1+√17 （B ）1+√12 （C ）1+√7 （D ）1+√22 （E ）1+√27 28. 已知实数 x,y,z 满足 x 2+y 2+z 2=1, 则 xy +2yz 的最大值为（ ）.If x,y,z are all real numbers, and x 2+y 2+z 2=1, then the maximum value of xy +2yz is （ ）. （A ）√52 （B ）√22 （C ）√32 （D ）2 （E ）12参考答案：1~28：A。

上海交通大学外国留学生本科入学考试（样题）科目：化学（理科）建议用时：45 分钟可能用到的相对原子质量：H—1，O—16，N—14，C—12，Na—23, S—32，Cu—64，Ar—40，Al—27， Fe —56，Mg—24一．选择题1．美国科学家将两种元素铅和氪的原子核对撞，获得了一种质子数为118、中子数为175的超重元素，该元素原子核内的中子数与核外电子数之差为（）A.57 B.47 C.61 D.2932．已知自然界中铱有两种质量数分别为191和193的同位素，而铱的平均相对原子质量为192.22，这两种同位素的原子个数比应为（）A.39∶61B.61∶39C.1∶1D.39∶113．下列说法正确的是（）A.标准状况下，体积都是22.4L的CO和N2，他们的物质的量和质量都相等B.同温同压下，22.4L的H2和N2都含有6.02*1023个分子C.标准状况下，等质量的O2和H2都含有相同的体积D.含6.02*1023个CO2分子的体积是22.4L4．在氢硫酸（主要成分是H2S）中加入少量下列物质：①O2；②Cl2；③SO2；④CuSO4。

能使溶液pH值减少的是（）A．①③ B. ②④ C.②③④ D.①5．把石蕊试纸分别浸入氨水、新制氯水、浓H2SO4中，石蕊试纸分别出现的颜色是（）A．红、红、红 B、蓝、红、红 C、蓝、白、红 D、蓝、白、黑6．氯化氢气体极易溶于水形成倒吸，下列装置中不能防倒吸的是（）A. B. C. D. 7．下列各组物质，化学键类型完全相同的是（）A．NaCl和NaOH B、Cl2和O2C．Na2S和(NH4)2S D、Na2O2和CO28．下列各组离子因氧化还原反应不能大量共存的是（）A．Fe3+、K+、SCN--、SO42- B．Cu2+、OH--、NH4+、Cl-C．Mg2+、H+、HCO3-- 、NO3- D．Na+、Fe2+、H+、NO3-9．下列离子反应方程式书写正确的是( )A、铁粉与稀硫酸反应 2Fe+6H+→2Fe3++3H2↑B、碳酸钙与稀硝酸反应 CO32--+2H+→CO2↑+H2OC、稀硫酸与氢氧化钡的反应 Ba2++OH--+SO42--+H+→BaSO4↓+H2OD、向NaHCO3溶液中滴加NaOH溶液 HCO3--+OH---→CO32--+H2O10．下列物质含极性共价键的是（）A．N2 B．Cl2C．O2D．CH411．在恒温恒容的密闭容器中进行反应：X2（g） Y2（g）+Z（g）,若反应物的浓度从2mol/L降到0.8mol/L需20s，那么，反应物浓度由0.8mol/L降到0.2mol/L 所需的反应时间为（）A．10s B.>10s C.<10s D.无法判断12．下列事实中，不能用勒夏特列原理解释的是（）A．开启啤酒后，瓶中马上泛起大量泡沫B．钢铁在潮湿的空气中容易生锈C．实验室中常用排饱和食盐水的方法收集氯气D．工业上生产硫酸的过程中，使用过量的空气以提高SO2的利用率13．下列物质属于纯净物的是（）A.漂粉精B.纯净的盐酸C.液氯D.碘酒14．把过量的CO2通入下列饱和溶液中，最终会有沉淀的是（）A.CaCl2 B.Na2AlO2C.Ca(OH)2D.NaHCO315．在Al(NO3)3和Mg（NO3）2的混合溶液中，逐滴加入稀NaOH溶液，直至过量。

上海交大国际班录取条件上海交通大学（Shanghai Jiao Tong University）是中国一所著名的综合性研究型高校，国际班是该校的一项特色招生项目。

在这里，我将为您详细介绍上海交大国际班的录取条件。

1. 学术成绩要求：上海交大国际班对学生的学术成绩非常重视。

通常来说，申请者需具备优异的高中成绩单。

这包括在数学、物理、化学等科目中表现出色，以及在各门科目中保持良好的综合成绩。

高中毕业证书和学术成绩单将是您入学申请中重要的一部分。

2. 语言要求：申请者需要具备一定的英语能力，以适应面向国际学生的教学环境。

一般来说，需要提供托福或雅思成绩报告。

上海交大国际班通常要求托福成绩不低于80分，雅思成绩不低于6.0分。

同时，有些申请者可能需要通过面试来评估他们的英语口语能力。

3. 文化适应能力：上海交大国际班注重培养具有国际视野和跨文化交流能力的人才。

因此，在录取过程中，学校还会评估申请者的文化适应能力和综合素质。

这包括申请者在学校活动、社会实践、领导才能等方面的表现。

学校鼓励申请者参与多元化的活动，展示其在各个领域的优秀能力和潜力。

4. 推荐信：申请者需要提供至少一封推荐信，推荐人应为您的高中教师或其他能为您的学术能力、品德、创造力、领导才能等方面提供有效评价的人士。

总结起来，上海交大国际班录取条件高度关注学术成绩、英语能力、文化适应和综合素质。

优秀的高中成绩、良好的语言能力、全面发展的综合素质及与国际接轨的文化适应能力，将会增加您获得录取机会的竞争力。

如果您具备这些条件，并通过申请程序，您将有机会成为上海交通大学国际班的一员，享受世界一流的教育资源。

祝您申请成功！。

上海交通大学外国留学生本科入学考试大纲生物【考试要求】根据高中生物课程的教学要求,高考考纲在生物知识的掌握分为认知领域方面和实验操作技能领域方面。

在认知领域方面分为知道（A）、理解（B）和掌握（C）三个层次；在实验操作技能领域分为知道（A）、学会（B）和设计（C）三个层次。

具体含义分别是：认知领域知道对知识的标记和识别，能说出知识的要点或大意，或在有关现象中识别它们。

理解在“知道”的基础上，了解知识的确切含义，并能对所学的知识做出解释和说明。

掌握在“理解”的基础上，对所学知识的初步运用、分析和重新组合，并能在新的情景下运用知识解决一些简单的问题。

实验操作技能领域知道在教师的指导下，按要求进行正确的操作，并得出正确的结果。

学会在“知道”的基础上，理解实验的目的、原理和操作步骤，能按要求独立地、正确地操作，对实验过程中出现的一般差错能识别和纠正。

设计在“学会”的基础上，能自己独立地设计一些简单的实验，对实验过程中产生的现象和问题进行讨论，得出正确的答案。

【考试内容】认知领域1.生命的基础1.1生命的物质基础（1）生物界与非生物界在元素组成上的统一性知道（A）（2）构成生物体的无机物：水和无机盐的生理作用知道（A）（3）构成生物体有机物的主要种类和作用：糖类、脂类、蛋白质和核酸（其中，蛋白质—肽链的形成和核酸的种类是重点内容）理解（B）1.2生命的结构基础（1）原核生物和真核生物的概念、主要区别和举例知道（A）（2）非细胞形态—病毒的结构知道（A）（3）真核生物的形态、结构和各部分功能：原生质的概念、细胞膜的结构和主要的功能、各种细胞器的形态结构和功能、细胞核的结构和功能理解（B）（4）动物细胞和植物细胞的主要区别知道（A）（5）物质出入细胞膜的两种方式：主动运输和被动运输理解（B）1.3细胞的分裂（1）细胞分裂方式的种类知道（A）（2）有丝分裂过程中各种时期染色体和DNA的变化规律：分裂间期和分裂期（其中分裂期：分裂前期、分裂中期、分裂后期、分裂末期）掌握（C）（3）动、植物细胞有丝分裂的异同点知道（A）2.新陈代谢2.1新陈代谢是怎样进行的（1）新陈代谢的概念、合成代谢和分解代谢的概念知道（A）（2）酶的组成、催化特性、命名和反应条件理解（B）（3）ATP的全称、结构简式和功能知道（A）（4）ATP与ADP互相转换，ATP和生命活动能量供应的关系理解（B）2.2生物的营养—植物（1）光合作用的全定义和总化学反应方程式理解（B）（2）叶绿体的结构、色素的种类和吸收光谱知道（A）（3）光合作用中光反应和暗反应的具体过程：光反应和暗反应的发生部位、反应物、反应产物和能量转换理解（B）（4）影响光合作用的因素：内因和外因理解（B）2.2生物的营养—动物（1）消化的定义、人体消化系统的组成知道（A）（2）各种营养素的吸收过程知道（A）（3）营养物质的吸收—小肠在形态结构上适于吸收的特点知道（A）（4）营养物质的利用：糖类的利用、脂类的利用和蛋白质的利用知道（A）2.3生物的呼吸（1）呼吸作用的类型：有氧呼吸和无氧呼吸知道（A）（1）有氧呼吸的具体过程：三个阶段中发生的部位、反应产物以及ATP的形成（2）无氧呼吸的产物以及发生部位知道（A）（3）有氧呼吸和无氧呼吸的区别知道（A）（4）微生物发酵知道（A）（5）呼吸过程中能量的释放、转移和利用知道（A）3.应激性和生命活动的调节3.1植物生命活动的调节（1）植物应激性的两种基本方式知道（A）（2）植物激素的概念：植物生长素的生理作用及其作用的两重性理解（B）（3）生长素类似物在农业上的应用知道（A）3.2高等动物的激素调节（1）高等动物体的内环境的概念知道（A）（2）人体内主要激素及其调节功能：甲状腺激素、胰岛素和胰理解（B）高血糖素、性激素、肾上腺皮质激素和肾上腺素、脑垂体激素（3）激素调节的特点理解（B）3.3高等动物的神经调节（1）神经系统的组成知道（A）（2）神经调节的基本方式——反射：其中反射弧是反射活动的理解（B）结构基础（3）脊髓的调节功能理解（B）（4）脑的高级调节功能——条件反射理解（B）4.生殖和发育4.1减数分裂与配子的形成（1）减数分裂的概念、过程和意义掌握（C）（2）减数分裂过程中DNA和染色体的变化规律掌握（C）（3）动物精子和卵细胞的形成过程和异同点理解（B）5.遗传和变异5.1遗传的两个基本规律（1）孟德尔的豌豆杂交实验的特点和实验过程知道（A）（2）性状、相对性状、杂交、自交、基因、等位基因、纯合体、理解（B）杂合体、显性、隐性、基因型、表现型、测交的概念（3）孟德尔对分离现象的解释，分离规律的实质掌握（C）（4）孟德尔对自由组合遗传现象的解释，自由组合规律的实质理解（B）（5）遗传的两个基本规律在理论上和实践上的意义理解（B）5.2染色体与遗传（1）染色体是基因的载体理解（B）（2）常染色体和性染色体的概念知道（A）（3）生物的性别决定（XY型）理解（B）（4）伴性遗传的概念理解（B）（5）人的红绿色盲遗传原理和规律理解（B）5.3遗传物质（1）核酸是生物的遗传物质，其中DNA是主要的遗传物质知道（A）（2）DNA是遗传物质的实验证明知道（A）（3）大肠杆菌噬菌体的基本结构和繁殖知道（A）5.4 核酸的结构（1）DNA的化学组成知道（A）（2）DNA分子双螺旋结构以及特点知道（A）（3）DNA自我复制的过程以及意义知道（A）（4）基因的概念和实质知道（A）（5）RNA的化学组成知道（A）5.5生物的变异（1）生物变异—不遗传的变异：环境因素知道（A）（2）生物变异—遗传的变异：基因突变和染色体畸变知道（A）（3）基因突变的概念和类型知道（A）（4）基因突变的原因：镰状细胞贫血的原因知道（A）（5）研究基因突变的意义及其在实践上的应用知道（A）（6）染色体畸变：染色体组的概念，单倍体和多倍体的概念和知道（A）特点以及在育种上的应用6.生物与环境6.1生物与无机环境（1）生态学的概念和生物圈的概念知道（A）（2）各种无机环境因素对生物体生存和分布的影响：阳光、温知道（A）度、水（3）无机环境因素的综合作用和限制因素知道（A）6.2种群（1）种群的概念和特征知道（A）（2）种群的数量变化及其原因：S形生长曲线和J形生长曲线理解（B）（3）种群的数量变化和环境负荷量知道（A）6.3 群落（1）种群的概念和结构特征知道（A）（2）群落的演替的一些基本特征知道（A）（3）生物之间的相互关系知道（A）6.4生态系统（1）生态系统的概念、生态系统中非生物成分、生产者、消费理解（B）者、分解者的含义以及其作用（2）生态系统的功能：能量流动（能量金字塔）和物质循环的理解（B）概念和特点（3）食物链、食物网和营养级的概念知道（A）（4）水循环和碳循环的过程知道（A）（5）生态平衡的概念和保持生态平衡的意义知道（A）7.人和生物圈7.1人口发展与生态平衡（1）人口的概念，人口发展过速对全球生态平衡带来的不利影知道（A）响（2）世界人口发展的现状和趋势知道（A）（3）人口增长受生态环境的制约知道（A）（4）控制人口数量，极高人口素质知道（A）7.2自然资源的开发和保护（1）自然资源的概念和有限性知道（A）（2）可再生资源和不可再生资源的概念知道（A）（3）保护和合理利用自然资源的重要性知道（A）7.3环境污染（1）大气污染产生的原因、危害性和防治的方法知道（A）（2）水污染产生的原因、危害性和防治的方法知道（A）（3）噪声污染的危害性和防治的方法知道（A）7.4野生生物的保护（1）保护野生生物的意义知道（A）（2）野生生物的生存危机知道（A）（3）野生生物濒危和灭绝的原因知道（A）（4）保护野生生物的重要性知道（A）实验操作技能1．显微镜的结构和使用：学会（B）--认识显微镜的结构和各部分的功能，掌握正确使用显微镜的方法2．生物组织中还原性糖、脂肪、蛋白质和淀粉的鉴定：学会（B）--通过生物组织中的有机物与特定的化学试剂能产生颜色反应，以显示细胞中还原性糖、脂肪、蛋白质和淀粉的存在3．植物细胞的有丝分裂：学会（B）--认识植物细胞有丝分裂各期的主要特征4．过氧化氢酶作用的高效性设计（C）--通过实验，了解酶的特性和影响因素，并能设计出这样的实验5．叶绿体色素的提取和分离知道（A）--学习叶绿体色素的提取和分离方法中用要具体试剂的作用，了解叶绿体内色素的种类及其物理性质6．细胞的质壁分离和质壁复原设计（C）--观察成熟植物细胞产生质壁分离和质壁复原现象，了解渗透吸水的基本原理7．唾液淀粉酶的消化作用和所需条件学会（B）--唾液淀粉酶消化功能的方法和技能，以及测定pH值和温度条件对唾液淀粉酶活力影响的方法和技能8．植物生长的调节学会（B）--通过实验认识胚芽鞘尖端对玉米幼苗生长和向性运动的调节作用9．脊髓反射知道（A）--了解反射弧的组成，以及在正常情况下，脊髓反射活动总是在脑的控制下进行的。

上海交通大学外国留学生本科入学考试大纲物理一、考试要求本说明包括力学、热学、电学、光学、原子物理学及实验等知识内容，其中力学和电学是重要部分，物理概念、规律十分重要，要正确理解它们的含义和适用条件，注意表达式中各符号的物理意义。

本说明对知识考试内容注重基础，在考察知识的同时，兼顾能力的考察。

本说明对知识内容考试要求的程度，由低到高，分为三个层次：A、B、C。

较高层次的要求包含了较低层次的要求，三个层次的含义分别是：(A) 列为A层次的知识，应能说出它的要点、大意，并能在有关现象中识别或直接应用它们。

(B) 列为B层次的知识，应明白它的含义及其与其它知识的联系或区别，并能用它对有关的实际问题进行分析、推理、判断和进行简单的计算等。

(C) 列为C层次的知识，是指中学物理中较广泛应用的重要概念和规律。

要求能用这些知识及有关知识的方法分析较为复杂的或综合性的物理问题，进行推理和计算，并得出正确的结论。

本说明既包含理论知识又包含实验知识，但考试时实验知识只要求书面笔答，不要求考生在考场动手做实验。

本说明仅规定五个必做实验，在实验中要明确实验目的，掌握实验原理和操作方法，会使用有关物理仪器，并能对实验数据进行处理。

二、考试形式（一）试卷内容比例考试时间50分钟，总分40分，其中力学约40%热学约12%电学约30%光学约13%原子物理约5%（二）题型比例选择题约40%填空题约20%作图题约10%计算题约30%三、考试内容第一部分力学第二部分热学第三部分电磁学第四部分光学第五部分原子物理第六部分物理实验1、了解误差的概念。

了解有效数字的意义。

能按有效数字要求记录测量结果。

2、会用托盘天平、米尺、游标卡尺、螺旋测微器、秒表、测力计、安培表、伏特表、温度计和滑动变阻器等实验仪器并能正确读数。

3、实验：实验一牛顿第二定律验证试验实验二用单摆测定重力加速度实验三伏安法测电阻实验四伏安法测定电池的电动势和内阻实验五测量玻璃砖的折射率。