上海大学插班生考试题及答案
上海大学插班生考试高数范围
上海大学插班生考试高数范围Prepared on 21 November 2021上海大学插班生考试高数范围1、函数、极限、连续(1)、理解函数的概念，掌握函数的表示方法(2)了解函数的奇偶性、单调性、周期性和有界性(3)理解复合函数的概念，了解反函数及隐函数的概念。
会建立简单函数关系式(4)掌握基本初等函数的性质和图形(5)理解极限的概念,了解分段函数的极限(6)掌握极限四则运算法则，掌握利用两个重要极限求极限的方法。
(7)掌握极限存在的二个准则，并会利用它们求极限(8)理解无穷小、无穷大以及无穷小的阶的概念，会利用等价无穷小求极限1(9)理解函数连续性的概念，会判断函数间断点的类型(10)了解初等函数的连续性和闭区间上的连续函数的性质，并会应用这些性质2、导数与微分(1)理解导数的概念导数的几何意义和物理意义，函数的可导性与连续性之间的关系(2)掌握导数的四则元算法则和复合函数的求导法，掌握基本初等函数的导数公式。
会求分段函数的一阶二阶导数(3)了解高阶函数的概念，会求简单的函数的n阶导数，掌握初等函数的二阶导数的求法(4)会求隐函数和参数方程所确定的函数的一、二阶导数。
(5)了解微分的概念和四则运算(6)会用导数描述一些简单的物理量3、中值定理与导数的应用(1)理解并会应用罗尔定理、拉格朗日定理，利用定理能求方程的根、证明不等式。
了解柯西定理(2)理解函数的极值概念，掌握用导数判别函数的单调性和求函数极值的方法(3)会用导数描绘图形(4)会求MAX、MIN的应用问题(5)掌握洛必达法则求未定式极限的方法(6)了解曲率，曲率半径的概念，并会计算(7)了解求方程近似解的二分法和切线法4、不定积分(1)理解原函数的概念，理解不定积分的概念及性质(2)掌握不定积分的基本公式、换元法、分部积分法5、定积分及其应用(1)理解定积分的基本概念，定积分的中值定理(2)理解变限函数及其求导定理，掌握牛顿—莱布尼兹公式(3)掌握定积分的性质及换元积分法和分部积分法(4)了解定积分的近似计算方法(5)掌握定积分在几何上的应用，和物理上的应用(6)了解广义积分的概念，会计算广义积分6、级数(1)理解常数项级数收敛与发散的概念、收敛级数和的概念，掌握级数的基本性质及收敛的必要条件(2)掌握几何级数、P—级数的收敛性(3)掌握正向级数的判别法(4)会用交错级数的莱布尼兹判别法(5)了解无穷级数绝对收敛与条件收敛的概念，及两者之间的关系(6)了解函数项级数的收敛域和函数的概念(7)掌握幂级数的收敛半径，收敛区间及收敛域的求法(8)了解幂级数在收敛区间内的一些基本性质，会求一些幂级数在收敛区间内的和函数，并会由此求出某些数的项级数的和(9)了解泰勒公式、泰勒级数，掌握的麦克劳林展开式，会用它们将一些简单函数展开幂级数(10)了解幂级数在近似计算中得到简单应用(11)了解傅立叶级数的概念及函数展开成傅立叶级数的狄利克莱定理(12)会将定义在上函数展开为傅立叶级数，会将定义在上的函数展开为正弦与余弦级数、会些出傅立叶级数的和表达式7、向量代数与空间解析几何(1)理解向量的概念及其表示(2)掌握向量的运算，了解两向量垂直、平行的条件。
上海交大插班生考试真题2021
上海交大插班生考试真题2021第一部分：单项选择题1. I’m Sarah. I’m ________ journalist. [单选题] *A. anB. a(正确答案)C. theD. /2. Sorry, I ________ speak English. I speak a little Italian. [单选题] *A. don’t(正确答案)B. am notC. doesn’tD. do3. These are my ________, Sam and Anna. [单选题] *A. childs(正确答案)B. childrenC. childrensD. child4. I go ________ every morning. [单选题] *A. swimB. swimming(正确答案)C. swimedD. swimming5. My mother ________ the piano very well. We loved to listen to her. [单选题] *A. played(正确答案)B. playC. is playingD. plays6. A fridge is ________ than a freezer. [单选题] *A. more important(正确答案)B. importanterC. most importantD. much important7. ________ up, please. [单选题] *A. Stand(正确答案)B. StandingC. To standD. To standing8. Maria spends hours ________ the shopping center. [单选题] *A. in(正确答案)B. onD. for9. You may use my pen. I will use ________. [单选题] *A. hers(正确答案)B. herC. sheD. herself10. I drink ________ water every day. [单选题] *A. a fewB. a lot of(正确答案)C. fewD. a little of第二部分：完形填空Daniel Radcliffe 1________ born in 1990, the year when J.K. Rowling first thought of the now famous Harry Potter. He always wanted to be 2________ actor, but his parents didn’t like the idea. But when he had the opportunity to 3________Harry Potter his parents agreed and they were very proud 4________him when the first film came out.The success of the films 5________ Daniel both rich and famous. But he still enjoys the simple pleasures of life. He 6________playing guitar and 7________ his favourite football team, Fulham. 8________present he is working on several stage and film projects. Daniel says that he 9________ to work as an actor for as long 10________he can.1. [单选题] *B. was(正确答案)C. were2. [单选题] *A.an(正确答案)B. aC. the3. [单选题] *A. takeB. doC. play(正确答案)4. [单选题] *A. of(正确答案)B. inC. for5. [单选题] *A. makeB. have madeC. has(正确答案)6. [单选题] *B. loves(正确答案)C. is loving7. [单选题] *A. supportB. to supportC. supporting(正确答案)8. [单选题] *A. OnB. InC. At(正确答案)9. [单选题] *A. is going to continue(正确答案)B. continuesC. is continuing10. [单选题] *A. suchB. as(正确答案)C. like第三部分：判断题We had a great time last weekend. We decided to camp on Mount Olympus. You know, the mountain with flames that burn in the rock? It was really good!We travelled from Antalya by bus and arrived in Çirali at 6. The bus stopped on the main road and we walked a couple of kilometres to the village. We had a cup of tea and then we started the walk up the mountain. We arrived at the flames just as the sun started to go down.What a view! We watched the sky turn red and then the stars started to come out. It was really beautiful. The flames are incredible too. Some of them are really big. We cooked our food over one of them. We stayed awake all night. We passed the time playing cards and telling stories. One of my friends had a guitar and he played all our favourite songs. Next time you visit we can go there together. But for now — have a look at our fantastic photos!Take care,Orich1. They went camping on Mount Olympus last weekend. [单选题]T(正确答案)F2. They drove all the way to the village. [单选题]TF(正确答案)3. They arrived at the flames at midnight. [单选题]TF(正确答案)4. They didn’t sleep all that night. [单选题]T(正确答案)F5. Orich didn’t go with them. [单选题]TF(正确答案)第五部分阅读理解I'm Michael Bush, Managing Director of Hoogle Engineering. I am pleased to welcome you here to our website and I'd like to tell you a little about the company and its organization. Hoogle Engineering was set up in 1960. It was divided into several departments at that time, such as the sales department, marketing department, and production department. Lots of managers were employed to manage it all.Fortunately things are different now. Sixty people are employed by Hoogle and communication between departments is considered to be one of the most important aspects of the business. The market is global so we need to make contact with customers worldwide, not just locally.But in the old days we were all in different departments and never spoke to each other. We had a tall structure. Traditionally we had people at the first level on the shop floor, manufacturing products according to the instructions which they were given. Then you had a supervisory level of people who supervised them every day. Then you moved up to the middle management, who were doing the tasks of getting new business, and then you had the senior management team, and then you had the board, who decided the business strategy. So there were a lot of levels in the company in the old days actually.The structure today is that we form teams within teams to place people who can manufacture a product. Each team has members that can manufacture different products. The actual teams now are self-managing, so we don't even have team leaders. You've gotthe teams, and then you’ve got two people, only two people, who are what you think of as management. This is generally called flat structure.1. Hoogle Engineering was set up in ________. [单选题] *A. the nineteenth centuryB. the twentieth century(正确答案)C. the twenty first century2. There are many different ________ of management in a tall structure. [单选题] *A. kinds(正确答案)B. levelsC. functions3. People in a flat structure usually work in ________. [单选题] *A. departmentsB. families(正确答案)C. teams4. All of the following statements are true according to the passage EXCEPT that________. [单选题] *A. communication in the company is becoming more and more importantB. the author thinks the two structures have the same functionsC. there are more individual responsibilities in the flat structure(正确答案)5. The best title for the passage is ________. [单选题] *A. Organization Structure in Hoogle EngineeringB. History of Hoogle EngineeringC. Success in Hoogle engineering(正确答案)第四部分：翻译1. 经验是最好的老师。
上海大学插班生高等数学A和B的详细范围
上海大学插班生高等数学A基本要求1、函数、极限、连续（1）、理解函数的概念，掌握函数的表示方法（2）了解函数的奇偶性、单调性、周期性和有界性（3）理解复合函数的概念，了解反函数及隐函数的概念。
会建立简单函数关系式（4）掌握基本初等函数的性质和图形（5）理解极限的概念,了解分段函数的极限（6）掌握极限四则运算法则，掌握利用两个重要极限求极限的方法。
（7）掌握极限存在的二个准则，并会利用它们求极限（8）理解无穷小、无穷大以及无穷小的阶的概念，会利用等价无穷小求极限1（9）理解函数连续性的概念，会判断函数间断点的类型（10）了解初等函数的连续性和闭区间上的连续函数的性质，并会应用这些性质2、导数与微分（1）理解导数的概念导数的几何意义和物理意义，函数的可导性与连续性之间的关系（2）掌握导数的四则元算法则和复合函数的求导法，掌握基本初等函数的导数公式。
会求分段函数的一阶二阶导数（3）了解高阶函数的概念，会求简单的函数的n阶导数，掌握初等函数的二阶导数的求法（4）会求隐函数和参数方程所确定的函数的一、二阶导数。
（5）了解微分的概念和四则运算（6）会用导数描述一些简单的物理量3、中值定理与导数的应用（1）理解并会应用罗尔定理、拉格朗日定理，利用定理能求方程的根、证明不等式。
了解柯西定理（2）理解函数的极值概念，掌握用导数判别函数的单调性和求函数极值的方法（3）会用导数描绘图形（4）会求MAX、MIN的应用问题（5）掌握洛必达法则求未定式极限的方法（6）了解曲率，曲率半径的概念，并会计算（7）了解求方程近似解的二分法和切线法4、不定积分（1）理解原函数的概念，理解不定积分的概念及性质（2）掌握不定积分的基本公式、换元法、分部积分法5、定积分及其应用（1）理解定积分的基本概念，定积分的中值定理（2）理解变限函数及其求导定理，掌握牛顿—莱布尼兹公式（3）掌握定积分的性质及换元积分法和分部积分法（4）了解定积分的近似计算方法（5）掌握定积分在几何上的应用，和物理上的应用（6）了解广义积分的概念，会计算广义积分6、级数（1）理解常数项级数收敛与发散的概念、收敛级数和的概念，掌握级数的基本性质及收敛的必要条件（2）掌握几何级数、P—级数的收敛性（3）掌握正向级数的判别法（4）会用交错级数的莱布尼兹判别法（5）了解无穷级数绝对收敛与条件收敛的概念，及两者之间的关系（6）了解函数项级数的收敛域和函数的概念（7）掌握幂级数的收敛半径，收敛区间及收敛域的求法（8）了解幂级数在收敛区间内的一些基本性质，会求一些幂级数在收敛区间内的和函数，并会由此求出某些数的项级数的和（9）了解泰勒公式、泰勒级数，掌握的麦克劳林展开式，会用它们将一些简单函数展开幂级数（10）了解幂级数在近似计算中得到简单应用（11）了解傅立叶级数的概念及函数展开成傅立叶级数的狄利克莱定理（12）会将定义在上函数展开为傅立叶级数，会将定义在上的函数展开为正弦与余弦级数、会些出傅立叶级数的和表达式7、向量代数与空间解析几何（1）理解向量的概念及其表示（2）掌握向量的运算，了解两向量垂直、平行的条件。
《高等数学》专插本年历年试卷
X 省202X 年一般高等学校本科插班生招生考试高等数学一、单项选择题〔本在题共5小题，每题3分，共15分。
每题只有一个选项符合题目要求〕1．函数22()2x x f x x x -=+-的间断点是A ．2x =- 和0x =B ．2x =- 和1x =C ．1x =- 和2x =D ．0x = 和1x =2．设函数1,0()2,0cos ,0x x f x x x x +<⎧⎪==⎨⎪>⎩，则0lim ()x f x → A ．等于1 B ．等于2 C ．等于1 或2 D ．不存在 3. 已知()tan ,()2xf x dx x Cg x dx C =+=+⎰⎰C 为任意常数，则以下等式正确的选项是A ．[()()]2tan x f x g x dx x C +=+⎰B ．()2tan ()x f x dx x C g x -=++⎰C ．[()]tan(2)x f g x dx C =+⎰D ．[()()]tan 2x f x g x dx x C +=++⎰4．以下级数收敛的是A ．11nn e ∞=∑ B ．13()2nn ∞=∑C ．3121()3n n n ∞=-∑ D ．121()3n n n ∞=⎡⎤+⎢⎥⎣⎦∑．5．已知函数 ()bf x ax x =+在点1x =-处取得极大值，则常数,a b 应满足条件 A ．0,0a b b -=< B ．0,0a b b -=> C ．0,0a b b +=< D ．0,0a b b +=> 二、填空题〔本大题共5小题，每题3分，共15分〕6．曲线33arctan x t ty t ⎧=+⎨=⎩，则0t =的对应点处切线方程为y =7．微分方程0ydx xdy +=满足初始条件的1|2x y ==特解为y =8．假设二元函数(,)z f x y =的全微分sin cos ,x xdz e ydx e ydy =+ ,则 9．设平面地域{(,)|0,01}D x y y x x =≤≤≤≤，则Dxdxdy =⎰⎰10．已知1()sin(1)tf x dx t t tπ=>⎰，则1()f x dx +∞=⎰三、计算题〔本大题共8小题，每题6分，共48分〕11．求20sin 1lim x x e x x →--12．设(0)21x x y x x =>+，求dydx13．求不定积分221xdx x ++⎰14．计算定积分012-⎰15．设xyzx z e-=，求z x ∂∂和z y∂∂ 16．计算二重积分22ln()Dx y d σ+⎰⎰，其中平面地域22{(,)|14}D x y x y =≤+≤ 17．已知级数1n n a ∞=∑和1n n b ∞=∑满足0,n n a b ≤≤且414(1),321n n b n b n n ++=+-判定级数1n n a ∞=∑的收敛性18．设函数()f x 满足(),xdf x x de-=求曲线()y f x =的凹凸区间 四、综合题〔大题共2小题，第19小题12分，第20小题10分，共22分〕 19．已知函数()x ϕ满足0()1()()xxx x t t dt x t dt ϕϕϕ=+++⎰⎰〔1〕求()x ϕ；〔2〕求由曲线 ()y x ϕ=和0,2x x π==及0y =围成的平面图形绕x 轴旋转而成的立体的体积20．设函数()ln(1)(1)ln f x x x x x =+-+ 〔1〕证明：()f x 在区间(0,)+∞内单调减少； 〔2〕比拟数值20192018与20182019的大小，并说明理由；202X 年X 省一般高校本科插班生招生考试《高等数学》参考答案及评分标准一、单项选择题〔本大题共5小题，每题3分，共15分〕 1.B 2.A 3.D 4.C 5.B二、填空题〔本大题共5小题，每个空3分，共15分〕 6.13x 7.2x 8.cos x e y 9.1310.π 三、计算题〔本大题共8小题，每题6分，共48分〕11.原式00cos sin 1limlim 222x x x x e x e x x →→-+=== 12.解： 13.解：14.,t =则211,22x t dx tdt =-= 15.解：设(,,)xyzf x y z x z e=--16.解：由题意得12,0r θπ≤≤≤≤17.解：由题意得414(1),321n n b n b n n ++=+-由比值判别法可知1nn b∞=∑收敛0,n n a b ≤≤由比拟判别法可知1n n a ∞=∑也收敛18．解()f x ∴的凹区间为(1,)+∞，凸区间为(,1)-∞19.〔1〕由题意得0()1()()()1()xxx x x t dt x x t dt ϕϕϕϕϕ'=++-=+⎰⎰特征方程210r +=，解得r i=±通解为()cos sin x x x Cϕ=++(2)由题意得 20.证明〔1〕 证明11ln(1)ln ()01x x x x+--+<+即可 即证11ln(1)ln ()1x x x x+-<++令()ln g x x =()ln g x x =在(0,)+∞连续可导，由拉格朗日中值定理得ln(1)ln 1ln(1)ln ()1x x x x g x x x ξ+-'+-===+-且1x x ξ<<+ 11ln(1)ln ()1x x x x ∴+-<++成立()f x ∴在(0,)+∞单调递减〔2〕设2019,2018a b ==则201820192019,2018ba ab ==比拟,a b b a 即可，假设a bb a >即ln ln a b b a >即ln ln b ab a >设ln (),x g x x =则21ln ()xg x x -'=()g x 在(0,)+∞单调递减即()()g b g a ∴>，即a b b a >成立即2019201820182019>X 省202X 年一般高等学校本科插班生招生考试高等数学一、单项选择题〔本在题共5小题，每题3分，共15分。
【上海插班生】心彼心插班生法学模拟卷三(答案版)
2022上海插班生法律专业课考试模拟试卷（3）一、单项选择题（每题1分，共15分）1.我国婚姻法规定，“子女可以随父姓，也可以随母姓”。
这一规范属于（）A.强行性规范B.任意性规范C.非确定性规范D.准用性规范2.某省会城市的人大常委会根据相关法律制定了《城市桥梁隧道安全管理条例》。
从我国法律渊源角度看，该规范性法律文件属于（）A.行政法规B.部门规章C.地方性法规D.地方政府规章3.在对人的效力方面，我国法律所采用的原则是A.以属地主义为主，以属人主义为补充B.以属人主义为主，以属地主义为补充C.以保护主义为主，以属人主义和属地主义为补充D.以属地主义为主，以属人主义和保护主义为补充4.贾某与甄某酒后斗殴，分别被科以200元罚款和5天拘留。
这类处罚属于()。
A.行政处分B.行政制裁C.刑事制裁D.民事制裁5.我国的国家性质是（）A.社会主义国家B.无产阶级专政C.人民代表大会D.人民民主专政6.根据我国宪法规定，现阶段我国社会主义分配制度的基本原则是（）。
A.平均分配为主，多种分配方式并存B.按需分配为主，多种分配方式并存C.按资分配为主，多种分配方式并存D.按劳分配为主，多种分配方式并存7.公民因飞机失事失踪的,利害关系人申请宣告其死亡的时间要件是()。
A.飞机失事发生之日起满2年B.政府公布失踪人员名单之日起满2年C.飞机失事发生之日起满4年D.政府公布失踪人员名单之日起满4年8.根据《民法典》的规定,诉讼时效中止后,从中止时效的原因消除之日起,诉讼时效期间()。
A.届满B.还有六个月即届满C.重新计算D.继续计算9.甲喜新厌旧,欲杀害妻子乙后与情妇结婚，虽然明知其儿子丙有与乙在同一饭碗里吃饭的习惯，由于杀乙心切而不顾丙的死活，仍在乙的饭碗里投放毒药。
结果乙、丙均中毒身亡。
本案中甲对丙死亡的心理态度是()。
A.直接故意B.间接故意C.过于自信的过失D.疏忽大意的过失10.下列各项中，属于行政处罚的是()A.罚金B.拘役C.罚款D.管制11.逮捕的执行机关是()A.公安机关B.人民检察院C.人民法院D.国家安全机关12.在民事诉讼中，对第一审判决和裁定的上诉期限是（）：A.10日、5日B.15日、10日C.15日、5日D.10日、10日13.刘某欲买“全聚德”牌烤鸭,临上火车前购买了商标不同但外包装十分相似的显著标明名称为“仝聚德”牌烤鸭,遂向“全聚德”公司投诉。
插班面试测试题及答案
插班面试测试题及答案一、选择题（每题2分，共10分）1. 下列哪项不是插班生需要具备的基本素质？A. 良好的学习习惯B. 较强的适应能力C. 独立完成作业的能力D. 经常迟到早退答案：D2. 插班生在新环境中应如何快速融入集体？A. 保持沉默，不与他人交流B. 主动参与集体活动C. 只与熟悉的人交往D. 避免参与任何集体活动答案：B3. 插班生在遇到学习困难时，以下哪项做法是不恰当的？A. 向老师寻求帮助B. 与同学讨论问题C. 独立解决所有问题D. 查阅资料，自我学习答案：C4. 插班生在新学校中，以下哪项行为是不被鼓励的？A. 遵守学校规章制度B. 积极参与课堂讨论C. 经常旷课D. 尊重师长和同学答案：C5. 插班生在新环境中，以下哪项是建立良好人际关系的关键？A. 保持个人隐私B. 真诚待人C. 只与成绩好的同学交往D. 避免与他人发生冲突答案：B二、填空题（每题2分，共10分）1. 插班生在新环境中应保持_______的态度，以便更好地适应新环境。
答案：积极2. 插班生在遇到问题时，应该学会_______，而不是逃避问题。
答案：面对3. 插班生在新学校中，应该_______，以获得老师和同学的认可。
答案：展现自己的优势4. 插班生在新环境中，应该学会_______，以减少不必要的误解和冲突。
答案：沟通5. 插班生在新学校中，应该_______，以提高自己的学习效率。
答案：合理安排时间三、简答题（每题5分，共20分）1. 插班生在新环境中可能会遇到哪些挑战？请列举至少三项。
答案：插班生在新环境中可能会遇到的挑战包括适应新环境的压力、与新同学建立关系的困难、以及学习新课程的挑战。
2. 插班生如何有效地管理自己的时间？答案：插班生可以通过制定学习计划、优先处理重要任务、合理分配学习和休息时间以及使用时间管理工具来有效地管理自己的时间。
3. 插班生在新学校中如何快速建立友谊？答案：插班生可以通过参加课外活动、主动与同学交流、展示自己的兴趣和才能以及保持开放和友好的态度来快速建立友谊。
上海大学模拟试题及答案
上海大学模拟试题及答案一、单项选择题（每题2分，共20分）1. 上海大学位于中国的哪个城市？A. 北京B. 上海C. 广州D. 成都答案：B2. 上海大学成立于哪一年？A. 1922年B. 1923年C. 1924年D. 1925年答案：A3. 上海大学共有多少个学院？A. 26个B. 27个C. 28个D. 29个答案：B4. 上海大学的校训是什么？A. 求实创新B. 厚德博学C. 笃学力行D. 格物致知答案：A5. 上海大学校园内最古老的建筑是？A. 图书馆B. 教学楼C. 体育馆D. 行政楼答案：A6. 上海大学的学生总数大约是多少？A. 20000人B. 25000人C. 30000人D. 35000人答案：C7. 上海大学提供哪些类型的学位？A. 学士B. 硕士C. 博士D. 所有以上答案：D8. 上海大学最知名的专业是什么？A. 工程学B. 经济学C. 法学D. 医学答案：A9. 上海大学的学生宿舍一般有几人间？A. 2人间B. 3人间C. 4人间D. 5人间答案：C10. 上海大学的学生社团数量是多少？A. 50个B. 60个C. 70个D. 80个答案：B二、多项选择题（每题3分，共15分）1. 上海大学提供的学位类型包括哪些？A. 学士B. 硕士C. 博士D. 博士后答案：ABC2. 上海大学的学生可以参加哪些类型的社团？A. 学术类B. 文艺类C. 体育类D. 志愿者类答案：ABCD3. 上海大学提供的服务设施包括哪些？A. 图书馆B. 体育馆C. 学生食堂D. 校医院答案：ABCD三、填空题（每题2分，共10分）1. 上海大学的校徽颜色是________和________。
答案：蓝色，白色2. 上海大学每年的________月举行毕业典礼。
答案：6月3. 上海大学的校歌是________。
答案：《上海大学校歌》4. 上海大学的学生活动中心位于校园的________区。
答案：中心5. 上海大学的校庆日是每年的________月________日。
上海插班生——心彼心插班生法学模拟卷四
2022上海插班生法律专业课考试模拟试卷（4）一、单项选择题（每题1分，共15分）1.下列关于法律效力等级的表述，正确的是（）。
A.新法优于旧法B.一般法优于特别法C.普通法优于根本法D.下位法优于上位法2.我国《婚姻法》第二十一条第一款规定：“……子女对父母有赡养扶助的义务。
”王律师认为，该规定中的“子女”既包括婚生子女，又包括非婚生子女、养子女和继子女。
王律师采用的法律解释方法是（）。
A.比较解释B.扩充解释C.字面解释D.限制解释3.我国现行宪法明确规定，人民行使国家权力的机关是（）A.中央人民政府和地方各级人民政府B.各级立法机关、行政机关和司法机关C.全国人民代表大会和中国人民政治协商会议D.全国人民代表大会和地方各级人民代表大会4.甲出差,委托同事乙照看其9周岁儿子丙。
某日,乙将丙单独留在家中,自己出去打麻将。
丙在玩耍时将邻居小孩丁打伤。
丁的损害应由()。
A.甲单独承担责任B.乙单独承担责任C.甲、乙承担连带责任D.甲承担无过错责任,乙根据过错承担相应的责任5.根据《民法典》规定,寺庙属于（）A.捐助法人B.营利法人C.事业单位法人D.社会团体法人6.成立犯罪不可缺少的要素是()。
A.犯罪行为B.犯罪结果C.犯罪目的D.犯罪动机7.行政诉讼法规定，行政诉讼中()对做出的具体行政行为负有举证责任。
A.原告B.被告C.原告和被告D.原告或被告8.拘传的适用对象为()A.犯罪嫌疑人B.被告人C.未被羁押的犯罪嫌疑人、被告人D.被害人9.某邮政企业提供邮政服务时,只允许消费者使用其指定地销售的信封和其他包装物,其行为侵犯了消费者的哪项权利()A.保障安全权B.知悉真情权C.自主选择权D.公平交易权10.某蛋糕店开业之初，为扩大影响，增加销售，出钱雇人排队抢购。
不久，该店门口便时常排起长队，销售盛况的照片也频频出现于网络等媒体，附近同类店家生意随之清淡。
对此行为，下列哪一说法是正确的?()A.属于正当的营销行为B.构成混淆行为C.构成虚假宣传行为D.构成商业贿赂行为11.下列属于内陆水的河流是()A.多国河流B.国际运河C.界河D.国内河流12.一日，李女士在家中做饭时高压锅突然爆炸，李女士被炸飞的锅盖击中头部，抢救无效死亡。
复旦大学插班生真题文科英语
复旦大学插班生真题文科英语1、95--Where and when _______ you _______ it? [单选题] *A. did; buy(正确答案)B. do; buyC. have; boughtD. will; buy2、( ) My mother told me _____ in bed. [单选题] *A. not readB. not readingC. don’t readD. not to read(正确答案)3、It is an online platform _____ people can buy and sell many kinds of things. [单选题] * A．whenB. where(正确答案)C．thatD．which4、--Jenny, what’s your favorite _______?--I like potatoes best. [单选题] *A. fruitB. vegetable(正确答案)C. drinkD. meat5、The notice put _______ on the wall says “No Smoking”. [单选题] *A. up(正确答案)B. offC. awayD. out6、—It’s too noisy outside. I can’t fall asleep.—I can’t, either. We have to ______ new ways to solve the problem.（）[单选题] *A. come up with(正确答案)B. get on withC. make up withD. catch up with7、39．—What do you ________ my new dress?—Very beautiful. [单选题] *A．look atB．think aboutC．think of(正确答案)D．look through8、She _______ so much _______ her mother. [单选题] *A. looks; like(正确答案)B. looks; forC. looks; afterD. looks forwards; to9、The Titanic is a nice film. I _______ it twice. [单选题] *A. sawB. seeC. have seen(正确答案)D. have saw10、It is reported（）three people were badly injured in the traffic accident. [单选题] *A. whichB. that(正确答案)C.whileD.what11、My home is about _______ away from the school. [单选题] *A. three hundred metreB. three hundreds metresC. three hundred metres(正确答案)D. three hundreds metre12、77．You can watch TV when you finish________ your homework. [单选题] * A．to doB．doC．to doingD．doing(正确答案)13、He studied harder to _______ his reading skills. [单选题] *A. improve(正确答案)B. rememberC. memorizeD. forget14、He always ______ the teacher carefully in class. [单选题] *A. listensB. listens to(正确答案)C. hearsD. hears of15、____ father is a worker. [单选题] *A.Mike's and Mary'sB. Mike and Mary's(正确答案)C. Mike's and MaryD. Mike and Marys'16、—Why is Mary asking Bob about the school trip? —Because she wants to know ______.（）[单选题] *A. how does he think of the tripB. what does he think of the tripC. what he likes the tripD. how he likes the trip(正确答案)17、Neither she nor her friends ______ been to Haikou. [单选题] *A. have(正确答案)B. hasC. hadD. having18、He _______ getting up early. [单选题] *A. used toB. is used to(正确答案)C. is usedD. is used for19、Can you give her some ______ ? [单选题] *A. advice(正确答案)B. suggestionC. advicesD. suggest20、Where have you _______ these days? [单选题] *A. been(正确答案)B. beC. isD. are21、They lost their way in the forest, and _____ made matters worse was night began to fall. [单选题] *A. thatB. itC. what(正确答案)D. which22、62．--There is? ? ? ? ? sale on in the shop today. Let’s go together.--Please wait? ? ? ? ? ?minute. I’ll finish my homework first. [单选题] *A．a; theB．a; a(正确答案)C．the; aD．the; the23、I run out of money. Could you _______ me some？[单选题] *A. lend(正确答案)B. sellC. borrowD. buy24、With all the work on hand, he _____ to the cinema last night. [单选题] *A.should goB.must have goneC.might goD..shouldn’t have gone(正确答案)25、I like this house with a beautiful garden in front, but I don't have enough money to buy _____. [单选题] *A. it(正确答案)B. oneC. thisD. that26、She talks too much; you’ll be glad when you’re free of her. [单选题] *A. 与她自由交谈B. 离开她(正确答案)C. 受她的控制D. 与她在一起27、I got caught in the rain and my suit____. [单选题] *A. has ruinedB. had ruinedC. has been ruined(正确答案)D. had been ruined28、The bookshop is far away. You’d better _______. [单选题] *A. by the busB. by busC. take busD. take?the bus(正确答案)29、Reading（）the lines, I dare say that the government are more worried than they admitted. [单选题] *A. behindB. between(正确答案)C. alongD. among30、We got up early this morning and took a long walk after breakfast. We walked _____ the business section of the city. [单选题] *A. amongB. betweenC. through(正确答案)D. upon。
上海大学插班生考试题及答案
上海大学2008～2009学年秋季学期试卷 课程名： 高等数学A （一） 课程号： 学分： 6应试人声明：我保证遵守《上海大学学生手册》中的《上海大学考场规则》，如有考试违纪、作弊行为，愿意接受《上海大学学生考试违纪、作弊行为界定及处分规定》的纪律处分。
应试人应试人学号 应试人所在院系151. 0x =是函数11()1xf x e=+的（ ）。
A ．连续点B ．可去间断点C ．跳跃间断点D ．第二类间断点 2. 当0x →时，()sin f x x x =-是()sin g x x x =的( )。
A ．低阶无穷小B ． 高阶无穷小C ． 等价无穷小D ． 同阶无穷小但非等价无穷小 3. 设0lim ()0,lim ()0,()()0x x f x g x f x g x →→==≠，则成立( )。
A ．0()lim1()x f x g x →= B ．()0lim ()0g x x f x →=C ．011lim 0()()x f x g x →⎛⎫+= ⎪⎝⎭ D ．()0lim ()()0x f x g x →+= 4. 设()f x 满足条件()020()()lim0x x f x f x A x x →-=>-，则0()f x 是()。
A ．极小值B ．极大值C ．不是极值D ．不能确定是否是极值 5. 设x e 是函数()f x 的一个原函数，则()xf x dx =⎰( )。
A ．(1)x e x C -+B ．(1)x e xC ++ C ． (1)x e x C -+D ．(1)x e x C -++ 二、 填空题：（每小题 3 分，共 15分）6. 已知函数()f x 的定义域是[]1,1-，则函数1()1f x -的定义域是 。
7. 为使函数ln(12),0(),0x x f x xx a x +⎧>⎪=⎨⎪+≥⎩在定义域内连续,则a = 。
8. 函数21()f x x x=-的上凸区间是 。
上海大学模拟试题及答案
上海大学模拟试题及答案一、选择题（每题2分，共20分）1. 以下哪个选项是上海大学的标志建筑？A. 东方明珠塔B. 上海中心大厦C. 复旦大学光华楼D. 上海大学图书馆答案：D2. 上海大学成立于哪一年？A. 1922年B. 1923年C. 1924年D. 1925年答案：A3. 上海大学位于中国的哪个城市？A. 北京B. 上海C. 广州D. 深圳答案：B4. 上海大学的主要学科领域包括以下哪些？A. 工程学B. 医学C. 法学D. 所有以上答案：D5. 上海大学的学生人数大约是多少？A. 10000人B. 20000人C. 30000人D. 40000人答案：C6. 上海大学的校训是什么？A. 求实创新B. 厚德载物C. 自强不息D. 博学笃志答案：A7. 上海大学在哪个校区举办了2019年的国际文化节？A. 宝山校区B. 延长校区C. 嘉定校区D. 闵行校区答案：A8. 上海大学的校花是什么？A. 牡丹B. 玫瑰C. 桂花D. 荷花答案：C9. 上海大学提供哪些类型的学位？A. 学士B. 硕士C. 博士D. 所有以上答案：D10. 上海大学在以下哪个领域获得了国家科技进步奖？A. 材料科学B. 信息技术C. 生物医学D. 环境工程答案：A二、填空题（每空1分，共20分）11. 上海大学是中国教育部直属的一所________大学。
答案：重点12. 上海大学拥有________个学院，涵盖了多个学科领域。
答案：2913. 上海大学的校徽以________色为主色调，象征学术的严谨与纯洁。
答案：蓝14. 上海大学在________年首次跻身QS世界大学排名前500。
答案：201915. 上海大学的学生社团活动丰富，其中包括学术科研、文化艺术、志愿服务等________类。
答案：六16. 上海大学的校歌是《________》，歌词表达了对知识的渴望和对未来的憧憬。
答案：上海大学校歌17. 上海大学注重国际交流与合作，与________个国家的高校建立了合作关系。
转校考(插班生考试),转专业考试
关于转校考（插班生），我以一个失败者的身份来与大家探讨一下这个问题，虽说失败者是没资格评论失败的事，但是我真的希望大家能追逐自己的梦想，并且成功，其实插班生考试没大家听到那么变态，华东理工的笔试题目（英语特别简单）其实并不难，像我们学校很多平时认真学习的同学都能进，但是面试貌似很难的；而上海大学因为是一次性的考试，所以笔试非常难，但是大家必须知道，题目再怎么难都不可能超纲的，我们学院有个同学以第一的成绩转到了上海大学，希望大家应该认真去面对，只要努力了，你就会发现其实前方的道路并不难走，所以大家如果真的想转到名牌大学的话，平时学习一定要努力，扎实，切不可以担任各种职务，因为贪多求全往往会让你付出惨痛的代价，大家可能听说插班生考试竞争非常激烈，像上海大学和华东理工都是15录1的，但是我们不应该畏惧，毕竟这么多考生中真正有资格的并不多，所以平时一定要耐得住寂寞，刻苦学习，还有就是具体考试相关信息每年5月左右都会在上海市教育考试院网站上贴出来的，至于所谓的辅导班，除非你准备考复旦，否则意义真的不大；转专业其实是在大1末进行的，所有专业理论上你都可以转，但是要按成绩来定的，不管是插班生考试还是转专业考试，大一都不能挂课的，即使补考过了也不行！相关具体信息请看你们进学校后会发的《学生守则》。
转校考（插班生考试）是给大家一次改变自己命运的机会，考试时间原则上是7月中旬，但是这些大学往往都是在高考的时候考试的，也就是6月6号或者6月7号，时间都不长，一般都是2.5小时左右。
一般而言上海每年都会有5所大学招收插班生（2009就只有4所），这5所是复旦大学，华东理工大学，华东师范大学，上海大学,上海理工大学。
以上海大学每年收的人最多，平均都是130人左右，复旦和华东理工大概加起来不超过70个，华师大不是很清楚。
这其中以复旦最难，数学接近考研水平，英语一般都是6级水平，去年是8级，所以想考复旦的还是洗洗睡吧！相对而言，华东理工大学，华东师范大学，上海大学就是我们可以追逐的目标，我们想考插班生首先必须了解他们的历年招生情况，因为转学校的第一条是你现在读的专业要与你未来转入新学校的专业是大致一样的，打个比方，我现在学的是环境工程，那么要考上海大学肯定不能选金融系的（我们主要学的是化学，人家学的是财经）所以我们可以根据自己的情况挑什么诸如化学材料工程与工艺。
2012复旦大学插班生高等数学模拟试题(附详解)
2012复旦大学插班生高等数学模拟试题(附详解)1. (10分) 求下列极限（1）⎰+-+→x x xx t t x 02450)1811d t sin 1(lim ； （2） ⎪⎪⎪⎪⎭⎫⎝⎛+++++∞→n n n n n n n n n 1)sin(21)2sin(1)sin(lim πππ . 解：（1）因为)(!5!31))(!5!3t 1t sin 442553t o t t t o t t t t ++-=++-=（ 原式⎰+-++-=+→x x x x t t o t t x 02444250)1811)]d (!5!31[1(lim 6001]1811))(!55!33(1[lim 2455350=+-+⨯+⨯-=+→x x x o x x x x x 。
（2） ∑∑∑===≤+≤+n k n k n k n n k k n n k n n k 111)sin(1)sin(1)sin(πππ 而 ,2sin )sin(lim 101πππ==⎰∑=→∞xdx n n k nk n ππππ2sin )sin(lim 1lim 1)sin(lim 1011==⋅+=+⎰∑∑=→∞→∞=→∞xdx n n k n n n n k n k n n n k n 所以ππππ21)sin(21)2sin(1)sin(lim =⎪⎪⎪⎪⎭⎫⎝⎛+++++∞→n n n n n n n n n 。
2.（10分）设函数)(x f 在],[b a 上连续，如果存在数列],[b a x n ∈，使得A x f n n =∞→)(lim ，求证：存在],[0b a x ∈，使得A x f =)(0。
证：由连续函数的最值性知，存在],[,21b a t t ∈，使得)}({max )()()()}({min ],[2n 1],[x f t f x f t f x f b a x b a x ∈∈=≤≤=因为A x f n n =∞→)(lim ，在上式中，令∞→n ，得)()(21t f A t f ≤≤，由连续函数的介值性知，存在],[0b a x ∈，使得A x f =)(0。
复旦大学插班生英语真题
复旦大学插班生英语真题1、40．Star wars is ______ adventure film and it is very interesting. [单选题] * A．aB．an (正确答案)C．theD．/2、In winter, animals have a hard time_____anything to eat. [单选题] *A.to findB.finding(正确答案)C.foundD.to finding3、Li Jing often helps me ______ my geography.（）[单选题] *A. atB. inC. ofD. with(正确答案)4、—Whose book is it? Is it yours?—No, ask John. Maybe it’s ______.（）[单选题] *A. hersB. his(正确答案)C. he’sD. her5、--Don’t _______ too late, or you will feel tired in class.--I won’t, Mum. [单选题] *A. call upB. wake upC. stay up(正确答案)D. get up6、The car is _______. It needs washing. [单选题] *A. cleanB. dirty(正确答案)C. oldD. new7、—Why is Mary asking Bob about the school trip? —Because she wants to know ______.（）[单选题] *A. how does he think of the tripB. what does he think of the tripC. what he likes the tripD. how he likes the trip(正确答案)8、There _____ wrong with my radio. [单选题] *A. are somethingB. are anythingC. is anythingD. is something(正确答案)9、He has made a lot of films, but ____ good ones. [单选题] *A. anyB. someC. few(正确答案)D. many10、28．The question is very difficult. ______ can answer it. [单选题] * A．EveryoneB．No one(正确答案)C．SomeoneD．Anyone11、11．________ big furniture shop it is! [单选题] *A．HowB．WhatC．What a (正确答案)D．What an12、The traffic jams often happen in _______ hours. [单选题] *A. lunchB. workC. leisureD. rush(正确答案)13、50．—The sweater is not the right ________ for me.—Well, shall I get you a bigger one or a smaller one? [单选题] *A．priceB．colorC．size(正确答案)D．material(材料)14、The green shorts are _______ sale for ＄[单选题] *A. forB. on(正确答案)C. atD. with15、We _______ swim every day in summer when we were young. [单选题] *A. use toB. are used toC. were used toD. used to(正确答案)16、--How is your friend coming?--I’m not sure. He _______ drive here. [单选题] *A. may(正确答案)B. canC. mustD. will17、You should stick to your（）and tell him you won' t do the thing. [单选题] *A. principle(正确答案)B. qualityC. contactD. influence18、______this story, and you will realize that not everything can be bought with money. [单选题] *A. ReadingB. ReadC. To readD.Being read(正确答案)19、A healthy life is generally thought to be（）with fresh air, clean water, and homegrown food. [单选题] *A. joinedB. boundC. lackingD. associated(正确答案)20、There is a popular belief _____schools don’t pay any attention to spelling. [单选题] *A.that(正确答案)B.whichC.whatD.whose21、We should have breakfast every day to keep ______. [单选题] *A. healthB. healthy(正确答案)C. healthilyD. the healthy22、6．Hi, boys and girls. How are you ________ your posters for the coming English Festival at school? [单选题] *A．getting onB．getting offC．getting with (正确答案)D．getting23、The young man had decided to give up the chance of studying abroad, _____ surprised his parents a lot. [单选题] *A. whenB. whereC. which(正确答案)D. that24、He always ______ the teacher carefully in class. [单选题] *A. listensB. listens to(正确答案)C. hearsD. hears of25、Catherine has two cousins. One is quiet, and _______ is noisy. [单选题] *A. anotherB. the other(正确答案)C. othersD. other26、24．I often ask my English teacher some questions ________ e-mail. [单选题] *A．by(正确答案)B．inC．forD．with27、Mary wanted to travel around the world all by herself, but her parents did not _______ her to do so. [单选题] *A. forbidB. allowC. follow(正确答案)D. ask28、39．__________ he was very tired, he didn’t stop working. [单选题] * A．Although (正确答案)B．WhenC．AfterD．Because29、—What can I do for you? —I ______ a pair of new shoes.（）[单选题] *A. likeB. would lookC. would like(正确答案)D. take30、You can ask（）is on duty there tonight. [单选题] *A. WhatB. whomC. whoever(正确答案)D. whomever。
上海插班生考试试题
上海插班生考试试题一、上海插班生考试中，以下哪项不是英语科目常见的题型？A. 阅读理解B. 完形填空C. 口语表达D. 语法选择（答案：C）二、在物理科目插班生考试中，关于力学部分，以下哪个概念不是基础知识点？A. 牛顿第一定律B. 动量守恒定律C. 光的折射定律D. 力的合成与分解（答案：C）三、化学插班生考试中，下列哪项不属于有机化学的基础内容？A. 碳原子的四价性B. 同分异构现象C. 酸碱中和反应D. 烃类化合物的分类（答案：C）四、计算机科目插班生考试中，以下哪种编程语言不是常见的考察对象？A. C语言B. PythonC. JavaD. MATLAB（注：MATLAB虽为专业软件，但相比前三者作为基础编程语言考察的频率较低）（答案：D，根据实际情况，此题答案可能因考试具体要求而异）五、生物科目插班生考试中，关于遗传学部分，以下哪个不是基本遗传规律？A. 基因分离定律B. 基因自由组合定律C. 能量守恒定律D. 连锁与交换定律（答案：C）六、历史科目插班生考试中，以下哪个时期不是中国古代史的重要阶段？A. 秦汉时期B. 隋唐时期C. 五四运动时期D. 明清时期（答案：C，五四运动属于近现代史）七、地理科目插班生考试中，关于自然地理部分，以下哪个不是常见的考察点？A. 地球运动与季节变化B. 气候类型与分布C. 城市规划与建筑设计D. 地壳运动与地质构造（答案：C）八、政治科目插班生考试中，以下哪个不是马克思主义哲学的基本原理？A. 唯物论B. 辩证法C. 相对论D. 历史唯物主义（答案：C）。
【上海插班生】心彼心插班生——各高校插班生数学历年真题(1)
4 (1 x)5
(2019复旦)求 y
的渐近线
4x
(2019同济)求
y
arctan
e2
x2的渐近线
(2019华师)求 y 1 x10ex2 的渐近线
(2019复旦)设 xk 为 x tan x
的正根从小到大排列的数列，
求 A, B, C ，使得：
lim
k
k
(
xk
(2019华师大)已知
1(x) 2x 2 , f (x) ln x
x 1
求 f ((x))
(2019华师大)
lim
x0
x
1 x
(2019同济)
e
1 x2
lim
x x0 100
1
(2019上理工) lim(x e2x )sin x x0
(2019华理)
lim[1 n 1 n] n2
n
z exy arctan y , 求 dz
x
(2019上大) f (x) 可导，且
g(x, y) yf (x2 y2 )
求：y
g x
x
g y
(2019海洋)设 z z(x, y) 由方程
x mz ( y nz) 确定，
其中 m, n为常数， 可微，
则 m z n z x y
(2019海洋)设方程x mz ( y nz)
( A) f (0) 是极小值； (B) f (0) 是极大值；
(C) (0, f (0)) 是拐点；
(D) 以上均不对。
(2019华师大)求
f (x) sin4 x cos4 x, (x [0, ])
4
的拐点.
上海插班生考试英语基础班资料
10th day理解下列句子并准确翻译出带有标记部分的中文意思：1.Chin a's environment authorities have stepped up efforts to en sure a blue sky and clean air for war commemoration activities centering on a military parade to be staged in Tian'anmen Square on Sept memor ate ---celebrate ---celebrity Activ ateAuthentic ---autonomous ----automatic ---authoritative//official ----automobileParade ---process ---process ion ---cruise ---patro l /patro nCruise throughPatron //patrol Sponsor2.The Ministry of Environment ordered Beijing and its six surroundingprovincial regions to "swiftly take action"to ensure a soundenvironment during the events,its statement said Friday.Swift ---shift –promptSound ---healthy ---san itary ---sane //insane ---fitness /fit Sane ---in sane ProvinceAdminis ter ---implement ----execute ---enforce同达插班生孔老师英语复习资料Ministry ----minister---administer /administration /administrative3.Beijing,Tianjin,Hebei,Shanxi,Inner Mongolia,Shandong and Henan authorities were given a deadline of Aug 28for monitoring various industries and shutting down companies with excessive emissions .Heads of the seven local governments will take the major responsibilities for the mission.Industrious ---diligent Major---majority//anoverwhelmingmajorityof …..---specialize/specialization ----minor ///minorityMaximum ---maximize ----maximal Minimum Miniature Deadline //headlineEmit ---transmit //communicate //contract //infect //infectious ---commit///commitmentInter mit tentExcessive ---excess ---exceed /proceed ---succeed //success /succession //successive ---precede /recede ---procedure //proceedings Surplus ----redundant同达插孔老师英语复习资4.More than 12,200coal-fired boilers and factories in polluting industries in these regions will suspend production starting Aug 28.More than ----not only Other thanRather than --instead of Better thanSus pend ---suspension ---suspense Im pend ---impending //imminentSuspect ---suspicious //skeptical//dubiousCease /ease ---pause ---halt ---terminate ---expire ///--abort ---abolish5.Motor vehicles,especially trucks from out of town,will be restricted from entering the capital.Cars with excess emissions will not beallowed to enter.Constrict ---coil ///curl //curve //carve //craveConstrain ---constraintStrict ---restrict ---restriction/iveStrain ---restrain ---restraint Store ---restore Cover ---recoverCollect ----recollect //retrospect Call ---recall同达插班生孔老师英语复习资料Retrieve ---to retrieve the information6.Beijing started to restrict the number of private vehicles on its roads on Thursday to ensure blue skies.Vehicles will be allowed on the roads based on odd or even license plate numbers up to and including Sept 3.Even ---get even withOdd ---temporary ----tentative ---provisional ----occasional ---interim ---transitionalPrivate ---privatize ---privacy ---PirateIntrude on the privacy –protrude //protract Invasion of the privacyPervade ---penetrate ---leak ///waterproof //watertightVulnerable to ---invulnerable7.The ban does not apply to ambulanc es ,fire engines,roadmaintenance vehicles,those carrying foodstuffs,or electric vehicles.Training baseMaintain ---disdain ---sustain –detain –attain ---retain8.It has been estimated by the transportation authority that the restrictions will cut the use of vehicles by 35to 50percent.同达插班生孔老师英语复习资料---------------------------------------------------------------------------------9.The Beijing Commission of Transportation said on Thursday that traffic was mildly c ongested and had been reduced by 30percent from average levels.Mild ---wild ---moderate ---modest ---intermediateTransit ---transition /transitional ---transparent ---transfuse ---transplant ---transferable ---transmission ---translation10.In the environment ministry's latest inspections ,it checked andregulated 241companies,45construct ion sites and a large number ofoutdoor barbecue stalls .It also secretly visited some factories inDingzhou City,Hebei Province,saying the environment situation there is "not optimistic."Stall ---stance //false stance ---stalk ---stable //staple ---stack ---stake11.Now the Chinese approach to education is not confined to strict andabsolute obe die nce ,because teachers also encourage different student's potential .ObeyFine ---confine ---refine//refinery Front ---confront ---confrontation Strict同达插班生孔老师英语复习资料Obey ---obedien ce //obedient //compliant Comply with Encourage –discouragePotential ---underlying –prospective client Potentiality12.The UK needs to promote the authority of teachers to make teaching more efficient and better exploit the potential of teachers.EfficientExploit ---explode ---exploreExploitationExplosionExploration----------------------------------------------------------13.More than ten foreign armies will participate in China's militaryparade scheduled for Sept.3in Beijing to mark the 70th anniversaryof China's victory in war against Japan aggression .Schedule –scheme ---timetable ---agenda ---itinerary ---route /chart/routine14.Foreign troops have already arrived to the parade's training base and are currently training with their Chinese counterpart s.Counterpart ---encounter //confront同达插班生孔老师英语复习资料15.Their participation in the parade is a clear indication of their attitude to jointly commemorate the victory in the world anti-fascist war ,and a symbol of the pursuit of and hope for lasting world peace .16.Their dormitories are equipped with laundry rooms,phone booths,foreign exchange services as well as football fields and swimming pools.17.China will also show its military sophistication by rolling out 27armament formations.About 84percent of the weaponry and equipment has never been shown to the public before./debutIntricate ---intricacyElusive18.They’re not the only ones paying huge prices for prestigious properties .Real estate19.Many argue the stability of the US dollar will keep New York as an同达插班生孔老师英语复习资料attractive destination for the foreseeable future .Destiny ---destination ---doom doomsdayStable ---stability ---stabilize ---instable //instability ---insecure //insecurity SteadyForesee ---predict ----forecast ---prophet20.The China -US relationship has achieved remarkable developmentdespite twists and turns since both countries established formaldiplomatic relations 36years ago.This relationship has become oneof the most important bilateral relationships in the world.Multilateral ---unilateralism Spin ---whirl –rotary Wither WhipWade ////Huddle/coddle/cuddle /fuddle /muddle /meddle21.We have conducted extensive exchanges and cooperation in nearly all areas including political,economic,educational,cultural,同达插班生孔老师英语复习资料people-to-people and international affairs .Event ///sound //parade //cruise //patrol //procession Extensive exchanges Extensive cooperation ConductSuspend production Participate Clear indication of A symbol Foreseeable futureProspect –prospective /potentialStall ---booth Laundry22.History has proved that China and the US both gain frompeaceful coexistence and cooperation ,and lose fromconflicts and confrontation .Peace ---stable and prosperous //prospective Collide --collisionClash ---confrontation ///confine //imprison ---constrain //constrictRestrict ---excessive emission同达插班生孔老师英语复习资料Odd and even license plate number Based on Knack –recipe EnsureDeadline ---headline MonitorInspection ---pessimistic AdministerMinistry ---suspend Bilateral23.China-US economic and trade relations is a critical pillar for our bilateral relations.It is mutually beneficial in nature.As the biggestdeveloping country and the biggest developed country respectively ,China and the US enjoy great complementarities in terms of naturaland human resources,market,capital and technology.Mutual ---reciprocal ---reproachComplementary //compliment Supplement ---Credit ---principal //installment //mortgage //loan24.In 1979,the annual trade volume between our two countries was just同达插班生孔老师英语复习资料2.45billion US st year,the figure exceeded 590billion US dollars,an increase of over 240times in 36years.Today,China and the US is each other’s 2nd largest trading partner,which brings tremendous benefits for the two peoples.25.At the same time,Chinese companies’invest ment in the US also witnessed remarkable increase .Investigate //scrutinize //inspect Witness ///The last decade witnessed rapid development in technology.Military sophistication26.Deepening economic ties have boost ed the growth of countries,creating more jobs and bringing tangible benefits to the people of both nations.Boost ---promote //exploitFosterWitness //launch ///initiate //involve //revolve around Intang ibl e ---invisible Tangle ---entangle Mutually beneficial Mildly congested同达插班生孔老师英语复习资料Reciprocal ---reproachBond –bound --bind ---band ---bandage ---badge ---slogan ---token ---bunch //punch /batch /ballot /ballet27.Since China and the US resumed contact 36years ago,the two sides have seen f requent high-level visits and improving dialogue mechanisms .Resume ----presume //presumptuous ProceedMechanical learning Flexible use ContinualEloquent ---innocentInstruction demand better response mechanismAssume ---consume ---presume ---resumeContact ---intact forest ---contract//engagement ///commitment28.Both sides also launched a series of initiatives in the fields of education,science and technology,culture,sports,women and youth exchanges.Promote ---boost ---foster ---facilitate同达插班生孔老师英语复习资料Witness ---launch29.Chinese universities hosted approximately 12,000American scholars,and 217symposiums were held jointly by China and the US.---symposium---syndromeSym---symmetric ---sym ptom --syndrome Eu phon ious/pathetic /a pathetic //typical /atypical //analytical ----symposiumAffinity ---vicinity------------------------------------------------------------------------------------30.China has pledged "Three Ten-thousand Programs",that is ,to providescholarships for 10,000US students to study in Chinese universities,to sponsor 10,000scholarships under the “Chinese Bridge”program,and to send 10,000Chinese to pursue doctor ate degrees in the US.Pledge ---promise ---swear ---oathCommitment ---guaranteeSponsor ---patron /patrol//cruise ---fund /refund ---spontaneous31.China and the US maintain close and effective communication and coordination on major regional and international issues ,including同达插班生孔老师英语复习资料the Korean Peninsula,Iranian nuclear,Afghanistan,counter terrorism ,energy security,public health and climate change.Maintain the relationship between …and …/.Close communicationEffective coordination //counter part /encounter /confront ///confrontation ///confine32.Through close coordination in fighting various challenges,China and the US are t remendously contributing to regional and global peace,stability and prosperity .33.Since its economic reform and opening-up policy,China has step by step transformed from an isolated poor country into a new engine of the world economy.Transform –transformationTransmit ---transmissionShiftSwiftly take action34.The gear of growth is shifting from high speed to medium-to-high speed,and China's focus of development is more on quality instead of同达插班生孔老语复习资料quantity .Quant ify Quanti ta tiveQuot a ---quote/quotationTransform ---convert ---shift ---adapt ---gear Be geared to35.We will let the market play a decisive role in resource allocation .China stock market drop reflects the adjustment of China's economy .The so-called 'China economy collapse 'is entirely groundless.36.In the face of complex and ever-changing international situation,our two countries should seize the correct direction to avoid zero-sumgame .37.History has proved that China’s success lies in its commitment to peaceful development.Consist in38.The blasts rocking Tianjin last Wednesday has captured both domestic and international media attention over the past several days.同达插班生孔老师英语复习资料Fascinate ---captivate ---capture39.As of August 18,Tianjin Municipal has held in total 8press conferences with regard to the incident.Regard ---disregardIncident ---incidence ---subsequent //sequence ---consequent //consequence//result ant ---ensue from40.Upon closer scrutiny ,when sudden tragic incidents involvingcasualties and treasure loss happen in Western countries,theinformation first releasedsituation more seriously than it actually is,rather than vice versa .Subsequently,as more accurate information is learned through investigation,thegovernment will revise earlier data to a “better than expected”one.Inthis way,the consequences of such incidents are more easily acceptedby the general public,thus relieving the tension and emotional stress .41.For example,15days after the September 11attacks in the United States in 2001,the ernment announced that 6,398people were missing.On November 11of that year,two months after the attacks,the authorities changed the number to 3,748based on newly同达插班生孔老师英语习资料acquired data .Then on September 11,2002,exactly one year after,the U.S.Department of Defense said that the total number of the people killed and missing was 3,025.And eventually,the total number of deaths was confirmed to be 2,996.42.The U.S.handled the information regarding Hurricane Katrina that hit New Orleans in 2005in a similar manner .Right after the hurricane,Louisiana Governor Kathleen Babineaux Blanco revealed that “thousands of people”could have died from this natural disaster,officials from the federal government estimated the number to be “tensof thousands”,while the mayor of New Orleans said that“Ten-thousand is not an unrealistic estimation”during interview.The death toll was confirmed to be 1,836,much smaller than previouslyestimated .43.We always want to play down the disaster,with the motivation to notarouse panic ,whereas in fact,with the death toll rising,the public’s fear and tension will be inevitably upgraded .44.People instinctivel y want to know exactly what has happened.45.When such demands are not met,panic and anxiety would be同达插班生孔老师英语复习资料cultivated and further inquiry and doubts ensue .46.Generally speaking,these mindset and actions are not malicious ,and they can be easily assuaged by acquisition of demanded information.47.A well-trained spokesperson can only be forged by several scorching times under the flashlight and in front of the microphone.48.Just like the old Chinese saying goes,no clever housewife can cook a meal without rice .49.The US media falsely accused China of using Operation Fox Hunt to deploy secret agents on US soil.The US is providing shelter to those on the run.We have reason to suspect that the US wants to divertattention and regain the moral high ground.Deploy ---assuageFlank FoilPlausibleLoquacious–eloquent同达插班生孔老师英语复习资料HilariousDay 10TEST 12试完成下列题目；并根据选项尽力想出所学过的同根、同缀、同型、同意、近型、近义、反义等相关单词2.Black hair is a sharp ______to white skin.A.contact B.contrastC.contractD.contradiction 同与不同Assess/access/process //assetSwarm/school/herd /flock Superlative Contradict CompatibleCommit a foulDefinitelyDefinite --define //indefinite //infinite6.The fundamental ______,which govern all physical processes,are alsorelated to many everyday occurrences.同达插班生孔老师英语复习资料A.principalsB.rulesC.principlesD.Regulations9.It is impossible to ______with a person whose methods are completely opposed to your own.A.cooperateB.correspondC.operatepete11.When replying to this advertisement,please ______a stamped addressed envelope.A.discloseB.containC.encloseD.Mention13.The beauty of the sight nearly took my ______away.A.sighB.breathC.mindD.Soul14.The general manager of the company ______why the other membersof the committee hadn’t been informed of this important news.A.requiredB.acquiredC.inquiredD.Requested15.Anyone who is ______thinks before speaking and considers thefeelings of others.A.considerateB.considerableC.moderateD.Talkative16.As income tax has ______steadily,it seems that the richer you get,theless rich you are than you think you ought to be.A.de creased B.diminished C.increasedD.reduced同达插班生孔老师英语复习资料21.Children are ______to have some accidents as they grow up.A.obviousB.indispensableC.boundD.doubtful22.For the child to be brought up in such a comfortable environment isnot necessarily ______to his future.A.favorableB.availableC.respectableD.capable23.The government ______regulations that put this arch a eological site under protection.A.publishedB.issuedC.dischargedD.released27.Sometimes Professor ______his students’poor comprehension to alack of intelligence.A.distributesB.attributesC.contributesD.devotes28.What we achieved in our research might ______what we had beenexpecting.A.exceedB.expandC.enlargeD.extend31.It is believed that the moon contains all the ______found on theearth.ponentsB.elementsC.factorsD.ingredients近义词：36.He ______this book could be of great help to whoever took over thejob.A.encounteredB.condemnedC.classifiedD.claimedpetition,we believe,______the national character rather than同达插班生孔老师英语复习资料corrupt it.A.enforcesB.confirmsC.intensifiesD.strengthens42.She ______her mother in appearance but not in height and intelligent.A.repeatsB.assemblesC.resemblesD.appears44.The concerns with the origins of the earth ______their study.A.motivatedB.advisedC.excitedD.exceeded46.This ruler has one ______in centimeters and another in inches.A.portionB.rateC.scaleD.base53.He pointed out that the living standard of urban and ______peoplecontinued to improve.A.remoteB.municipalC.ruralD.provincial57.The employees want to ______the number of working hours and toincrease pay.A.diminishB.decreaseC.depressD.delete63.For the past two years,Audi cars have ______Germany’s TouringCar Championship.A.dominatedB.conqueredC.determinedD.Contested同达插班生孔老师英语复习资料66.Our company decided to ______the contract because a number of theconditions in it had not been met.A .concealB.cancelC.concedeD.consult78.Of all the soldiers they had the ______of being the fiercest,the mostpatriotic and the toughest.A.recognitionB.reservationC.reputationD.recreation85.He was ______enough to understand my question from the gestures I made.A.intelligentB. C.proficient D.diligent86.We may be able to ______you in some way if you cannot finish yourwork on time.A.resistB.insistC.assistD.consist91.All parts of this sewing machine are ______so that it is very simpleto get replacements for them.A.mechanizedB.minimizedC.D.standardized99.Controlled exposure to the object of fear is the best key to ______anormal state of mind.A.resumeB.consumeC.restrictD.imagineTEST 131.In writing the investigation report,I have ______all unnecessary details so as to make it clearer.同达生孔老师英语复习资料A.omittedB.left outC.forgotD.neglected3.Accuracy is ______to the programming of computers.A.B.elementaryC.fundament alD.characteristic5.Even though I have lived in Australia for many years,I still can not______myself to the Australia customs.A.adoptB.adjustC.adaptD .accept6.The explorers had ______much suffering in the recent exploration.A.unde rgoneB.underl inedC.u nder takenD.un done7.This home-made car is by no means ______to that one made in Japan.A.inferiorB.interiorC.exteriorD.senior19.Mary didn’t hear the bell because she was completely ______in herreading.A.confirmedB.concernedC.absorbedD.performed32.I’d like to ______a special seat for the concert of October 12.A.preserveB.reserveC.serveD.conserve39.The strike has been on for ten months;______there is a severedecline in production.A.accordinglyB.subsequentlyC.consequentlyD.frequently40.The professor can hardly find ______grounds on which to base hisargument in favor of the new theory.A.efficientB.sufficientC.effectiveD.同达插班生孔老师英语复习资料durable45.China is a(n)______great power though she is still backward in many respects.A.remoteB.curiousC.effic ientD.potential48.The population ______will be so great that men will fight for standing room in the future.A.densityB.tensionC.crisisD.danger53.A real poet is a master of words and can ______his meaning in wordswhich sing like music and move men to tears.A.conveyB.interpretC.explainD.transfer54.There is always excitement at the Olympic Games when a ______record is surpassed.A.previousB.preciousC.valuableD.primitive56.I ______you that I had no intention of offending you.A.convinceB.guaranteeC.persuadeD.assure72.Even as a child Tom showed an inclination to ______the otherchildren.A.dominateB.ruleernD.inspect74.We ______our journey after a short rest.A.cancelled B.interruptedC.renewedD.resumed75.A person doesn’t always ______his human form or qualities.A.remainB.retainC.resignD.retail同达插班生孔老师英语复习资料79.Poor people can’t always live in ______conditions.A.accentB.decentC.recentD.dense80.The sports meeting has been ______because of the bad weather.A.abolished B.abandonedC.concealedD.cancelled86.The older generation have always ______on some of the ideas of the young.A.frownedB.flowedC.relievedD.released90.While studying at Cambridge University,Mr.Smith _______his oldfriend,whom he has not seen for nearly twenty years.A.encounteredB.whisperedC.anticipatedD.disturbed92.The _______production of cars in our factory has doubled this year.A.manualB.annualD.negative97.Can you think of a ______excuse for our being late?A.flexibleB.reliableC.reasonableD.favorable100.The former,U.S.President Clinton,made an excellent _______onthe current international situation.mitteemandmentmissionTEST 141.To ______the circumstances thoroughly requires more specificmeasures than have been taken thus far.同达插班生孔老师英语复习资料A.abuseB.clarifyC.civilizeD.circulate3.What’s the best way to ______the problem of unemployment?A.tackleB.createC.presentD.rescue4.We _______cattle mainly for the international market.A.breezeB.greetC.gripD.breed15.The failure of the project might be ______to the ineffective management.A.distributedB.contributedC.attributedD.retreated19.She will probably be awarded a Nobel Prize on account of her ______achievements in chemistry.A.obviousB.outstandingprehensiveD.distinct20.The local police made an ______into the accident which causedtwenty deaths.A.interferenceB.investigationC.interruptionD.interaction21.He is an hour late.He may have been ______by fog.Of course,that’sonly a possibility.A.delayedB.releasedC.detectedD.devised22.These desks and chairs can be ______to the height of any child.A.appointedB.adjustedC.addressedD.adopted32.The report of her sudden death on the plane to New York was not______until yesterday evening.A.in form edB.con form edC.confirmedD.affirmed同达插班生孔老师英语复习资料38.Professor Smith made such a ______contribution to the universitythat they are naming one of the new buildings after him.A.minimumB.modestC.genuineD.generous42.To ______wildlife in this area,the government has set up a huge national forest park.A.reserveB.retainC.preserveD.provide48.We moved into Chang Jiang Hotel because it is ______in its prices.A.cheapB.expensiveC.moderateD.inexpensive95.Apart from those three very cold weeks in January,it has been a very______.A.plainB.paleC.softd同达插班生孔老师英语复习资料。
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上海大学2008～2009学年秋季学期试卷课程名： 高等数学A （一） 课程号： 学分： 6应试人声明： 我保证遵守《上海大学学生手册》中的《上海大学考场规则》，如有考试违纪、作弊行为，愿意接受《上海大学学生考试违纪、作弊行为界定及处分规定》的纪律处分。
应试人 应试人学号 应试人所在院系分）1. 0x =是函数11()1xf x e=+的（ ）。
A ．连续点B ．可去间断点C ．跳跃间断点D ．第二类间断点 2. 当0x →时，()sin f x x x =-是()sin g x x x =的( )。
A ．低阶无穷小B ． 高阶无穷小C ． 等价无穷小D ． 同阶无穷小但非等价无穷小 3. 设0lim ()0,lim ()0,()()0x x f x g x f x g x →→==≠，则成立( )。
A ．0()lim1()x f x g x →= B ．()0lim ()0g x x f x →=C ．011lim 0()()x f x g x →⎛⎫+= ⎪⎝⎭ D ．()0lim ()()0x f x g x →+= 4. 设()f x 满足条件()020()()lim0x x f x f x A x x →-=>-，则0()f x 是( )。
A ．极小值B ．极大值C ．不是极值D ．不能确定是否是极值 5. 设x e 是函数()f x 的一个原函数，则()xf x dx =⎰( )。
A ．(1)x e x C -+B ．(1)x e xC ++ C ． (1)x e x C -+D ．(1)x e x C-++二、 填空题：（每小题 3 分，共 15 分）6. 已知函数()f x 的定义域是[]1,1-，则函数1()1f x -的定义域是 。
7. 为使函数ln(12),0(),0x x f x xx a x +⎧>⎪=⎨⎪+≥⎩在定义域内连续,则a = 。
8. 函数21()f x x x=-的上凸区间是 。
9. 若2()f x dx x C =+⎰，则2(1)xf x dx -=⎰ 。
10. 曲线11xy xe =+的铅直渐近线是 。
三、计算下例各题：（每小题5分，共40分）11、0)lim cot x x+→12、 ()1lim xxx x e→+∞+13、如果函数()y x 由方程2xy e x y=+所确定，求(0)y ''。
14、设21(sin ),y f x ⎡⎤=⎢⎥⎣⎦ 其中f 是可微函数，求()y x '。
15、⎰ 16、2ln (1)xdx x -⎰17、证明不等式：ln (0)x e x x ><<+∞ 。
18、已知()sin cos x f e x x '=+， 求()f x 。
19．在曲线21(1)2y x =+（0x >）上任意点P 作切线，切线与x 轴交点是M ，20、设函数()f x 满足：()0,()f a f a '≠存在，求极限 1()lim ()nn f a n f a →∞⎡⎤+⎢⎥⎢⎥⎢⎥⎣⎦。
21、设函数()f x 满足2()(())2f x f x x '''+=，讨论 0x = 是否是函数()f x 的极值六、求解下列各题（每题6分，共12分）22、设函数()(1)(),()f x x g x g x =-在[]1,2上有二阶导数，且(1)(2)0g g ==， 证明：在区间()1,2内至少存在一个点ξ，使得()0f ξ''=23、设函数()f x 是单调函数，且二阶可导，记()g x 是()f x 的反函数， 已知：(1)2,(1)(1)1f f f '''===，求：(1) 0(1)(1)lim 2x f x f x →--； (2) (2)g ''。
上海大学2008-2009学年度秋季学期 高等数学A （1） 考试试卷答案（A 卷）一． 单项选择题：（每小题3分，共15分）1.C2. B3.D ４.A ５.C二． 填空题：（每小题3分，共15分）6.(),0(2,)-∞⋃∞.7. 2 .8. ()0,1 .9. ()2112x C --+ .10. 0x = 三、求解下列各题: (每小题5分,共40分)11. 002ln(arcsin )arcsin lim lim 1cot sin x x x x x x++→→=-（2分）20sin lim .1arcsin x x x +→=（2分）20lim 0x x x+→==（1分）12.()1lim xxx x e →+∞+解: ()1ln(),ln ,x xxx e y x e y x+=+=（2分）1ln()lim ln lim lim lim 111xx x x x x x x x e x e e x e y x e →+∞→+∞→+∞→+∞+++====+（2分） ()1lim xxx x ee →+∞+= （1分）13.如果函数()y x 由方程2xy e x y =+所确定,求(0)y ''. 解:(0)1y = （1分） ()2,(0)1xy e y xy y y '''+=+=-（2分）2()(2),(0)1xy xy e y xy e y xy y y ''''''''+++==-（2分）14.设21(sin ),y f x ⎡⎤=⎢⎥⎣⎦其中f 是可微函数,求()y x '. 解:211112(sin )(sin )cos ()y f f x x x x ''=- （5分）15.⎰解:21,2x t dx tdt =-= （1分）cos 22sin t tdt td t ==⎰⎰⎰()2(sin sin )2sin cos t t tdt t t t C=-=++⎰（2分）C =+（2分）16.2ln (1)xdx x -⎰解; 2ln 1111ln ln (1)111x dx xd x dx x x x x x==-----⎰⎰⎰（2分） 1111ln ln (ln ln(1))111x dx x x x C x x x x=-+=---+---⎰（3分）17.证明不等式:ln (0)x e x x ><<+∞.证明:()ln f x x e x =- （2分）10,;()0;x e f x e f e x e-'''====>（2分）极小值(唯一极值),最小值()()0,ln f x f e x e x ≥=>（1分） 18.已知()sin cos x f e x x '=+,求().f x解: ()()(sin cos )sin x x x x x f e f e de x x e dx e x c '==+=+⎰⎰（3分）()sin(ln )f x x x C =+（2分）四、应用题：（8分）19．在曲线21(1)2y x =+（0x >）上任意点P 作切线，切线与x 轴交点是M ，又从点P 向x 轴作垂线，垂足是N 。
试求三角形PMN 面积的最小值.解:在点2001(,(1))2P x x +处切线方程:20001(1)();2y x x x x -+=-（2分） 2222000001(1)1111(1);22228PMNx x SMN PN x x x ++==+=（2分） ()()220002001310,x x dS x dx x +-===（2分）{},0.,0.min 9x S x S S S ⎛⎫''∈<∈+∞>== ⎪⎝⎭（2分） 五.求解下列各题:(每小题5分,共10分)20.设函数()f x 满足:()0,()f a f a '≠存在.求极限1()lim ()nn f a n f a →∞⎡⎤+⎢⎥⎢⎥⎢⎥⎣⎦.解:1()lim ()nn f a n f a →∞⎡⎤+⎢⎥⎢⎥⎢⎥⎣⎦=1()()()1()1()()1()()lim 1()f a f a n f a f a nf a f a n n f a f a n f a +-+-→∞⎧⎫⎡⎤⎪⎪+-⎢⎥⎪⎪+⎨⎬⎢⎥⎪⎪⎢⎥⎣⎦⎪⎪⎩⎭（3分）()()f a f a e '=（2分）21.设函数()f x 满足2()(())2.f x f x x '''+=讨论0x =是否是函数()f x 的极值点.解: (1)若(0)0,f '≠则0x =不是函数()f x 的极值点; （2分） (2) 若(0)0,f '=由于2()2(())f x x f x '''=-是连续函数,得()(),0,()0,0,,()0;x f x x f x δδ''''∈-<∈>()(),0,()0,0,,()0;x f x x f x δδ''⇒∈->∈>（3分）则0x =不是函数()f x 的极值点六、求解下列各题: (每小题6分,共12分)22.设函数()(1)(),()f x x g x g x =-在[]1,2上有二阶导数,且(1)(2)0g g ==.证明:在区间()1,2内至少存在一个点ξ,使得()0f ξ''=. 证明: ()(1)(2)0,1,2,()0;f f a f a '==∃∈=（2分） ()()(1)(),(1)0;f x g x x g x f '''=+-=（2分）在()1,a 上,对()f x '用罗尔定理：至少存在一个点ξ,使得()0f ξ''=.（2分）23. 设函数()f x 是单调函数,且二阶可导, 记()g x 是()f x 的反函数. 已知:(1)2,(1)(1)1f f f '''===。
求：(1)0(1)(1)lim 2x f x f x →--; (2) (2)g ''.解: (1)00(1)(1)(1)(1)11limlim (1)2226x x f x f f x f f x x →→------'===- （2分） (2) 0011(2)(2)(1)(1)(2)lim lim (1)(1)x y g x g f y f g xf y f →→-''''+-+''==+- 0(1)(1)11lim(1)(1)(1)(1)y f f y f y f y f f y y→''-+=+-''+（2分）33(1)/((1))f f '''=-==2分）.。