2007年河南省普通高等学校 选拔优秀专科生进入本科阶段学习考试《高等数学》试卷一. 单项选择题（每题2分，共计50分）在每小题的备选答案中选出一个正确答案，并将其代码写在题干后 面的括号内.不选、错选或多选者，该题无分.1.集合}5,4,3{的所有子集共有 （ ） A. 5 B. 6 C. 7 D. 82.函数x x x f -+-=3)1arcsin()(的定义域为 （ ） A. ]3,0[ B. ]2,0[ C. ]3,2[ D. ]3,1[3. 当0→x 时，与x 不等价的无穷小量是 ( ) A.x 2 B.x sin C.1-xe D.)1ln(x + 4.当0=x 是函数xx f 1arctan)(= 的 （ ） A.连续点 B. 可去间断点 C.跳跃间断点 D. 第二类间断点6.若函数)(x f 在区间),(b a 内有0)(,0)(<''>'x f x f ，则在区间),(b a 内，)(x f 图形 （ ）A ．单调递减且为凸的B ．单调递增且为凸的C ．单调递减且为凹的D ．单调递增且为凹的 5. 设)(x f 在1=x 处可导，且1)1(='f ，则hh f h f h )1()21(lim+--→的值为（ ）A.-1B. -2C. -3D.-47.曲线31x y +=的拐点是 （ ） A. )1,0( B. )0,1( C. )0,0( D. )1,1(8.曲线2232)(x x x f -=的水平渐近线是 （ ） A. 32=y B. 32-=y C. 31=y D. 31-=y9. =⎰→42tan limxtdt x x （ ）A. 0B.21C.2D. 1 10.若函数)(x f 是)(x g 的原函数，则下列等式正确的是 （ ）A.⎰+=C x g dx x f )()( B. ⎰+=C x f dx x g )()( C.⎰+='C x f dx x g )()( D. ⎰+='C x g dx x f )()( 11.⎰=-dx x )31cos( （ ）A.C x +--)31sin(31B. C x +-)31sin(31C. C x +--)31sin(D. C x +-)31sin(312. 设⎰--=xdt t t y 0)3)(1(，则=')0(y （ ）A.-3B.-1C.1D.313. 下列广义积分收敛的是 （ ） A.⎰+∞1x dx B. ⎰+∞1x dx C.⎰+∞1xx dxD.⎰10xx dx14. 对不定积分⎰dx x x 22cos sin 1，下列计算结果错误是 （ ）A. C x x +-cot tanB. C xx +-tan 1tanC. C x x +-tan cotD. C x +-2cot15. 函数2x y =在区间]3,1[的平均值为 （ ）A. 326B. 313 C. 8 D. 416. 过Oz 轴及点)4,2,3(-的平面方程为 （ ） A. 023=+y x B. 02=+z y C. 032=+y x D. 02=+z x17. 双曲线⎪⎩⎪⎨⎧==-014322y z x 绕z 轴旋转所成的曲面方程为 （ ） A.143222=-+z y x B. 143222=+-z y x C.143)(22=-+z y x D. 14)(322=+-z y x 18.=+-→→xy xy y x 93lim0 （ ） A.61 B. 61- C.0 D. 极限不存在 19.若yx z =，则=∂∂)1,(e y z （ ） A.e1B. 1C. eD. 0 20. 方程 132=-xz y z 所确定的隐函数为),(y x f z =，则=∂∂xz （ ） A. xz y z 322- B. y xz z 232- C. xz y z 32- D. yxz z 23-21. 设C 为抛物线2x y =上从)0,0(到)1,1( 的一段弧，则⎰=+Cdy x xydx 22（ ） A.-1 B.0 C.1 D.222.下列正项级数收敛的是 （ ）A. ∑∞=+2131n n B. ∑∞=2ln 1n n nC. ∑∞=22)(ln 1n n nD. ∑∞=21n nnn 23.幂级数∑∞=++01)1(31n nn x 的收敛区间为 （ ） A.)1,1(- B.)3,3(- C. )4,2(- D.)2,4(- 24. 微分x ey y y xcos 23-=+'+''特解形式应设为=*y （ ）A. x Ce x cosB. )sin cos (21x C x C ex +-C. )sin cos (21x C x C xe x+- D. )sin cos (212x C x C ex x+-25.设函数)(x f y =是微分方程xe y y 2='+''的解，且0)(0='xf ，则)(x f 在0x 处（ ）A.取极小值B. 取极大值C.不取极值D. 取最大值 26.设52)(+=x x f ，则=-]1)([x f f _________.27.=∞→!2lim n nn ____________. 28.若函数⎪⎩⎪⎨⎧≥+<=02203)(4x ax x e x f x ，，在0=x 处连续，则=a ____________. 29.已知曲线22-+=x x y 上点M 处的切线平行于直线15-=x y ，则点M 的坐标为________ 30.设12)(-=x ex f ，则 =)0()2007(f_________31.设⎩⎨⎧+-=+=12132t t y t x ，则==1t dx dy__________ 32. 若函数bx ax x f +=2)(在1=x 处取得极值2，则=a ______，=b _____33. ='⎰dx x f x f )()( _________ 34．⎰=-121dx x _________ 35.向量k j i a -+=43的模=||a________36. 已知平面1π：0752=+-+z y x 与平面2π：01334=+++mz y x 垂直，则=m ______37.设22),(y x xy y x f +=+，则=),(y x f ________ 38.已知=I ⎰⎰-21220),(y ydx y x f dy ，交换积分次序后，则=I _______39.若级数∑∞=11n n u 收敛，则级数∑∞=+⎪⎪⎭⎫⎝⎛-1111n n n u u 的和为 _______40.微分方程02=+'-''y y y 的通解为________三、判断题（每小题2分，共10分） 你认为正确的在题后括号内划“√”，反之划“×”.41.若数列{}n x 单调，则{}n x 必收敛. ( )42.若函数)(x f 在区间[]b a ,上连续，在),(b a 内可导，且)()(b f a f ≠，则一定不存在),(b a ∈ξ，使0)(=ξ'f . ( )43.1sin sin lim cos 1cos 1lim sin sin lim -=-=+-======+-∞→∞→∞→xxx x x x x x x x x 由洛比达法则. ( )44.2ln 23102ln 02≤-≤⎰-dx e x . ( ) 45.函数),(y x f 在点),(y x P 处可微是),(y x f 在),(y x P 处连续的充分条件.( )四、计算题（每小题5分，共40分）46．求xx xsin 0lim +→.47.求函数3211x x x y +-⋅=的导数dxdy. 48.求不定积分⎰++dx x e x )]1ln([2.49.计算定积分dx x ⎰π+02cos 22 .50.设)3,sin (2y x y e f z x=，且),(v u f 为可微函数，求dz . 51．计算⎰⎰Ddxdy x 2，其中D 为圆环区域：4122≤+≤y x . 52．将242x x-展开为x 的幂级数，并写出收敛区间.53．求微分方程0)2(22=--+dx x xy y dy x 的通解.55. 设平面图形D 由曲线xe y =,直线e y =及y 轴所围成.求： （1）平面图形D 的面积;(2) 平面图形D 绕y 轴旋转一周所成的旋转体的体积. 六、证明题（6分）56.若)(x f '在],[b a 上连续，则存在两个常数m 与M ，对于满足b x x a ≤<≤21的任意两点21,x x ，证明恒有)()()()(121212x x M x f x f x x m -≤-≤-.xyx e y =11oe图07-22008年河南省普通高等学校 选拔优秀专科生进入本科阶段学习考试高等数学 试卷在每小题的四个备选答案中选出一个正确答案，并将其代码写在题干后面的括号内.不选、错选或多选者，该题不得分.1. 函数2)1ln()(++-=x x x f 的定义域为 （ ） A. ]1,2[-- B. ]1,2[- C. )1,2[- D. )1,2(-2. =⎪⎭⎫ ⎝⎛π--π→3sin cos 21lim3x xx （ ） A.1 B. 0 C. 2 D.33. 点0=x 是函数131311+-=xxy 的 ( )A.连续点B. 跳跃间断点C.可去间断点D. 第二类间断点 4.下列极限存在的为 （ ）A.xx e +∞→lim B. x x x 2sin lim 0→ C.xx 1cos lim 0+→ D.32lim 2-++∞→x x x5. 当0→x 时，)1ln(2x +是比x cos 1-的（ ）A ．低阶无穷小B ．高阶无穷小C ．等阶无穷小 D.同阶但不等价无穷小6.设函数⎪⎪⎩⎪⎪⎨⎧>≤≤--<+++=0,arctan 01,11,11sin )1(1)(x x x x x x x f ，则)(x f （ ）A ．在1-=x 处连续，在0=x 处不连续B ．在0=x 处连续，在1-=x 处不连续C ．在1-=x ，0，处均连续D ．在1-=x ，0，处均不连续 7.过曲线xe x y +=arctan 上的点(0,1)处的法线方程为 （ ） A. 012=+-y x B. 022=+-y x C. 012=--y x D. 022=-+y x8.设函数)(x f 在0=x 处可导，)(3)0()(x x f x f α+-=且0)(lim0=α→xx x ，则=')0(f（ ）A. -1B.1C. -3D. 39.若函数)1()(ln )(>=x x x f x，则=')(x f （ ） A. 1)(ln -x x B. )ln(ln )(ln )(ln 1x x x x x +-C. )ln(ln )(ln x x xD. xx x )(ln10.设函数)(x y y =由参数方程⎪⎩⎪⎨⎧==ty tx 33sin cos 确定，则=π=422x dx y d （ ）A.-2B.-1C.234-D. 234 11.下列函数中，在区间[-1,1]上满足罗尔中值定理条件的是 （ ）A.xe y = B.||ln x y = C.21x y -= D.21xy =12. 曲线253-+=x x y 的拐点是 （ ） A.0=x B.)2,0(- C.无拐点 D. 2,0-==y x 13. 曲线|1|1-=x y （ ）A. 只有水平渐进线B. 既有水平渐进线又有垂直渐进线C. 只有垂直渐进线D. 既无水平渐进线又无垂直渐进线 14.如果)(x f 的一个原函数是x x ln ,那么=''⎰dx x f x )(2 （ ）A. C x +lnB. C x +2C. C x x +ln 3D. x C - 15.=+-⎰342x x dx( )A .C x x +--13ln 21 B.C x x +--31ln 21 C. C x x +---)1ln()3ln( D. C x x +---)3ln()1ln( 16.设⎰+=1041x dxI ，则I 的取值范围为 ( )A .10≤≤I B.121≤≤I C. 40π≤≤I D.121<<I17. 下列广义积分收敛的是 （ ） A.dx x ⎰+∞13 B. ⎰+∞1ln dx xxC.⎰+∞1dx xD. dx e x ⎰+∞-0 18.=-⎰-33|1|dx x （ ）A.⎰-30|1|2dx x B.⎰⎰-+--3113)1()1(dx x dx xC.⎰⎰----3113)1()1(dx x dx x D.⎰⎰-+--3113)1()1(dx x dx x19.若)(x f 可导函数，0)(>x f ，且满足⎰+-=xdt ttt f x f 022cos 1sin )(22ln )(，则=)(x f（ ）A. )cos 1ln(x +B. C x ++-)cos 1ln(C. )cos 1ln(x +-D. C x ++)cos 1ln( 20. 若函数)(x f 满足⎰--+=11)(211)(dx x f x x f ，则=)(x f （ ） A. 31-x B. 21-x C. 21+x D. 31+x21. 若⎰=edx x f x I 023)( 则=I ( )Adx x f )(0⎰2e x B dx xf )(0⎰e xC dx x f )(210⎰2e xD dx x f )(210⎰ex22.直线19452zy x =+=+与平面5734=+-z y x 的位置关系为A. 直线与平面斜交B. 直线与平面垂直C. 直线在平面内D. 直线与平面平行 23.=-+++→→11lim222200y x y x y x （ ）A. 2B.3C. 1D.不存在 24.曲面22y x z +=在点（1，2，5）处切平面方程（ ） A ．542=-+z y x B ．524=-+z y x C ．542=-+z y x D ．542=+-z y x25.设函数33xy y x z -=，则=∂∂∂xy z2 （ ） A. xy 6 B. 2233y x - C. xy 6- D. 2233x y -26.如果区域D 被分成两个子区域1D 和2D 且5),(1=⎰⎰dxdy y x f D ，1),(2=⎰⎰dxdy y x f D ,则=⎰⎰dxdy y x f D),( ( )A. 5B. 4C. 6D.127.如果L 是摆线⎩⎨⎧-=-=t y tt x cos 1sin 从点)0,2(πA 到点)0,0(B 的一段弧，则=-++⎰dy y y x dx xe y x xL)sin 31()3(32 ( ) A.1)21(2-π-πe B. ]1)21([22-π-πeC.]1)21([32-π-πe D. ]1)21([42-π-πe28.以通解为xCe y =（C 为任意常数）的微分方程为 ( ) A. 0=+'y y B. 0=-'y y C. 1='y y D. 01=+'-y y 29. 微分方程xxey y -='+''的特解形式应设为=*y （ ）A .xeb ax x -+)( B.b ax + C.xe b ax -+)( D.xeb ax x -+)(230．下列四个级数中，发散的级数是 （ ）A. ∑∞=1!1n n B. ∑∞=-1100032n n n C. ∑∞=12n n n D. ∑∞=121n n二、填空题（每题2分，共30分）31．A x f x x =→)(lim 0的____________条件是A x f x f x x x x ==-+→→)(lim )(lim 032. 函数x x y sin -=在区间)2,0(π单调 ，其曲线在区间⎪⎭⎫⎝⎛π2,0内的凹凸性为 的.33.设方程a a z y x (23222=++为常数)所确定的隐函数),(y x f z = ,则=∂∂xz_____. 34.=+⎰xdx 1 .35.⎰ππ⋅-=+33________cos 1dx x x. 36. 在空间直角坐标系中,以)042()131()140(，，，，，，，，----C B A 为顶点的ABC ∆的面积为__ .37. 方程⎪⎩⎪⎨⎧-==+214922x y x 在空间直角坐标下的图形为__________. 38.函数xy y x y x f 3),(33-+=的驻点为 . 39.若x y xy ey x z xtan2312++=-，则=∂∂)0,1(xz .40.⎰⎰ππ=440___________cos xdy yydx 41.直角坐标系下的二重积分⎰⎰Ddxdy y x f ),((其中D 为环域9122≤+≤y x )化为极坐标形式为___________________________.42.以x xxe C e C y 3231--+=为通解的二阶常系数线性齐次微分方程为 .43.等比级数)0(0≠∑∞=a aqn n,当_______时级数收敛,当_______时级数发散.44.函数21)(2--=x x x f 展开为x 的幂级数为__________________45.∑∞=⎪⎭⎫ ⎝⎛-12n nn n 的敛散性为________的级数.三、计算题（每小题5分，共40分）46．求2522232lim +∞→⎪⎪⎭⎫⎝⎛-+x x x x .47. 求⎰+→2032401lim x x dtt t x .48.已知)21sin(ln x y -=,求dxdy . 49. 计算不定积分⎰xdx x arctan50.求函数)cos(y x e z x+=的全微分. 51．计算⎰⎰σDd y x2，其中D 是由1,,2===xy x y y 所围成的闭区域. 52．求微分方程xex y y sin cos -=+'满足初始条件1)0(-=y 的特解.53．求级数∑∞=+013n nn x n 的收敛半径及收敛区间(考虑区间端点).四、应用题（每题7分，共计14分）54. 过曲线2x y =上一点)1,1(M 作切线L ，D 是由曲线2x y =，切线L 及x 轴所围成的平面图形，求（1）平面图形D 的面积;（2）该平面图形D 绕x 轴旋转一周所成的旋转体的体积.55.一块铁皮宽为24厘米,把它的两边折上去,做成一正截面为等腰梯形的槽(如下图),要使梯形的面积A 最大,求腰长x 和它对底边的倾斜角α.五、证明题（6分）56. 证明方程⎰π--=02cos 1ln dx x e xx 在区间),(3e e 内仅有一个实根.x 224-x α2008年河南省普通高等学校选拔优秀专科毕业生进入本科阶段学习考试公共英语 试卷Part I Vocabulary and Structure （40 points ）Directions ：There are 40 incomplete sentences in this part. For each sentence there are four choices marked A, B, C and D. Choosethe ONE answer that best completes each sentence, and then write the choices in the brackets. 1. John and I friends for eight years. We first got to know each other at a Christmas party. But we each other a couple of times before that.A. had been; have seenB. have been; have seenC. had been; had seenD. have been; had seen2. When the education systems of China and Britain, the professor gave no comment.A. being asked to compare B . asked him to compareC. asking him to compareD. asked to compare3. leaves the room at last ought to turn off the lights.A. AnyoneB. The personC. WhoeverD. Who4. his dream of going to college will come true is uncertain.A. ThatB. WhetherC. IfD. Even if5. “What did the teacher say to you just now?” “She asked me .”A. whether I had finished my work or notB. whether or not had I finished my workC. if my work had finished or notD. if or not I have finished my work6. The large passenger jets have made the traffic problems at airports, .A. the worse than beforeB. worse than ever beforeC.more bad as beforeD. more bad than it was7. You never told us his phone number,?A. hadn’t youB. didn’t youC. had youD. did you8. It’s high time about the traffic problem.A. something was doneB. something is doneC. anything will be doneD. nothing to be done9. Great the difficulties are, we must do our best to succeed.A. whileB. asC. althoughD. however10. A man who wants to start a business must have some .A. currencyB. incomeC. wealthD. capital11. He has a habit of biting his lips when he is puzzled.A. particularB. specificC. peculiarD. general12. The manager claimed that his company had the right of publication.A. singleB. uniqueC. lonelyD. sole13. At the conference he expressed some personal views which brought him into with the Party leadership.A. actionB. crisisC. conflictD. power14. The actual cost of the building was much higher than our original .A. considerationB. judgementC. estimateD. plan15. There was more than rain and snow last year, so some parts of the country have been flooded this spring.A. extraB. efficientC. effectiveD. adequate16. Illness him till his death but he never gave up his lofty goal in his life.A. persistedB. pursuedC. trackedD. tolerate17. The students are encouraged to provide service to the poor students.A. valuableB. volcanoC. voluntaryD. voyage18. It was almost dark in the street a few very powerful spotlights.A. excludingB. except forC. exceptD. but for19. Although the United States has long been known as a nation of immigrants, discrimination still exists.A. radicalB. racialC. crucialD. diplomatic20. When they had finished playing, the children were made to all the toys they had taken out.A. put offB. put upC. put outD. put away21. I’m not surprised you failed the exam. You have worked harder.A. shouldB. mustC. wouldD. ought22. I hope my teacher will take my recent illness into when judging my examination.A. regardB. countingC. accountD. observation23. If you don’t feel well, please the doctor .A. answerB. promiseC. teachD. consult24. Mary and Jane are twin sisters. They look exactly .A. likeB. sameC. alikeD. same ones25. There some mistakes in your composition.A. haveB. hasC. seems to beD. seem to be26. You can stay here you keep quiet.A. as long asB. unlessC. in caseD. in order27. It was not until she had arrived home she remembered her appointment with the doctor.A. whenB. thatC. andD.where28. Without the air to hold some of the sun’s heat, the earth would be on at night.A. very cold for us to liveB. so cold to us livingC. too cold for us to liveD. rather cold of us live29. No one can avoid by advertisements.A. influencedB. influencingC. to influenceD. being influenced30. In other words, all mammals, their sizes are, breathe once for every four heartbeats.A. howeverB. regardlessC. whateverD. according31. The new model costs twice last year’s.A. more thanB. as much asC. as many asD. than32. We have still tremendous to overcome before we achieve our goal.A. obligationsB. objectionsC. obstaclesD. objects33. People are to smoke at a gas station.A. preventedB. forbiddenC. stoppedD. objected34. I hope to meet you again next year.A. sometimesB. timesC. sometimeD. some time35. It wasn’t an accident. He did it on .A. reasonB. intentionC. purposeD. determination36. Henry’s remarks left me about his real purpose.A. wonderB. wonderedC. to wonderD. wondering37. All is a continuous supply of fuel.A. what is neededB. the thing neededC. that is neededD. for their needs38. Applying for a in the office of the local newspaper, he was told to see the mangager.A. positionB. careerC. professionD. location39. People living in cities to suffer from stress more than people in the countryside.A. intendB. leanC. tendD. incline40. It took him several months to the wild horse.A. cultivateB. breedC. tendD. tamePart Ⅱ Reading Comprehension (40 points)Directions: There are 4 passages in this part. Each passage is followed by some questions or incomplete statements. For each of them there are 4 choices marked A, B, C and D. You should decide on the best choice, and write it in the brackets “【】”.Passage 1Procrastination(犹豫不决) is a disease of the mind. A scientific study in recent years has shown that it is a close relative of sadness and attention disorder; that procrastinators tend to be the result of low self-confidence and are likely to experience anxiety.The research has shown, what is more, that the illness has become quite common.Susan Robert, a behavioral psychologist who has written a book called Living With Procrastination, says that about a quarter of the adult population of the United States and Canada report having serious problems with procrastination. “when we say ‘serious’we mean people for whom procrastination causes great discomfort and suffering. We’ve found that such people are more troubled by daily life than others, that possibility of anxiety is much higher among them than in the rest of the population.”In a society driven by achievement, it is little wonder that not being able to work at full steam will bring people sadness. Surely, in the land of opportunity, this anxiety has produced an industry of experts offering solutions. Many books and specialist solutions have appeared. In exchange for $19.95, Dr. Jerome Murray will send out an audio-cassette called “Protect your future from the thief of procrastination.”Dr. Murray promises that if you follow his step-by-step rules you will be empowered to “turn self-defeat into self-realization”. “Since the start of the 1990s, procrastination has been taken more and more seriously,”said Dr. Roberts, who has been treating patients troubled by the condition for more than 20 years. “It is now recognized as a true mental health problem and is being seen more as a psychological problem and less as a moral issue.”41.What is the main topic of this passage?A. Don’t hesitate to give up smoking.B. Don’t regard depression as not important.C. Delay can be a sign of illness.D.Don’t work too hard to stay healthy.42．Which statement is NOT true according to the passage?A. Procrastination is a disease of the mind.B. Procrastination is likely to cause a great discomfort and suffering.C. Procrastination is not considered as a psychological problem but a moral issue.D. Dr.Jerome Murray provides some ways to get rid of procrastination.43.How does the author look at procrastination?A.It is something like running.B.It is a disease of mind.C.It is not a permitted act.D.It is not full of stress.44.These are the signs of procrastination except______________.A. discomfort C. pleasureB. suffering D. sadness45.What’s the main idea of Dr. Murray’s cassette “Protect your future from the thiefof procrastination”?A. Turn defeat to self-realization.B. Turn depression into enthusiasm.C. Procrastination has been taken more and more seriously.D. Turn self-defeat into self-realization.Passage 2Parrots are becoming one of the most popular pets in America and for good reason. The parrot is an extraordinary bird that can be taught to talk, can be easily cared for, and can create a lively atmosphere anywhere. With the help of an energetic parrot owner, a parrot can develop an enormous vocabulary. In addition, a parrot can be trained to say “Pretty boy”or “Polly wants a cracker,”and it also can learn to whistle or sing. No matter what an owner decides to teach a bird, training a parrot takes much patience, but the reward is a stream of chatter. Another reason for the parrot’s popularity is that this pet does not require much care. For example, even a spoiled parrot does not need a house-sitter for the purpose of daily walks and daily feeding. In fact, a parrot owner may leave his or her pet with enough food for five days and have no fear that the parrot will overeat. Still another advantage of owning a parrot is its inexpensive food, including seeds, nuts, corn, and grain－along with an apple, banana, or carrot. Perhaps the most likely reason the parrot is becoming such a well-liked pet is that it is a combination of tameness and wildness. Because the parrot can live in almost any environment, it makes a fine, tame companion for many people. In addition, because it can be easily trained, it is a delightful performer. At the same time, its colorful feathers give it an air of the mystery of the parrot’s native home, the jungle.Thus, the parrot, once a highly valued gift presented to kings and noble families, is now appreciated by a growing number of people.46．A parrot can be trained to do all the following but________.A．talkB．help its ownerC．singD．create a lively atmosphere47．Which of the following is not a reason for the easy raising of the parrot?A．It eats very little.B．Its food is inexpensiveC．It does not need a house-sitter.D．It does not require daily walks as dogs do.48．The word “tameness”in the passage means ______.A．the quality of being brave or unafraidB．the quality of being kind or warm-heartedC．the quality of being uncontrolled or fierceD．the quality of being gentle or trained49. The word “jungle”probably means ______.A．boundless desert with very little plant lifeB．large apartment building with pleasing surroundingsC．wild land overgrown with thick bushes and treesD．snow-covered mountain top in very cold areas50. The writer ______.A．likes the parrotB．dislikes the parrotC．does not like nor dislike the parrotD．values the parrot highlyPassage 3In my long life I have seen many changes in our habits and customs and conditions in general. I think that you might be interested if I told you some of them.The world I entered at the age of eighteen when I became a medical student was a world that knew nothing of such advanced things as planes, films, radios or telephones. It was a very cheap world. Prices were stable. When I entered St. Thomas’hospital I rent a set of rooms in Vincent square for which I paid 18 shillings a week. My landlady provided me with a very good breakfast before I went to the hospital and a dinner when I came back at half past six. I only had to pay for the breakfasts and dinners twelve shillings a week. For four-pence I lunched at St. Thomas’ on bread and butter and a glass of milk. I was able to live very well, pay my fees, buy my necessary instruments, clothe myself, and have a lot of fun on fourteen pounds a month. And I could always pawn my microscope for three pounds.I spent five years at St. Thomas’ hospital. I was a bad student, for my heart, as you might have guessed, was not in it. I wanted, I had always wanted to be a writer, and in the evenings, after my dinner, I wrote and read. Before long, I wrote a novel called “Liza of Lambeth”, which I sent to a publisher and was accepted. It came out during my last year at the hospital and it was successful. It was of course an accident, but I didn’t know that. I felt I could afford to give up medicine and make writing my profession; so, three days after I graduated from the school of medicine, I left for Spain to write another book, I did not realize, at that time, that I was taking a great risk.51. The text is a talk given by the writer when____.A. he was 18B. his first novel was publishedC. he graduated from the school of medicineD. he was at an advanced age52. The writer graduated from the school of medicine when he was____.A. 18 C. 23B. 28 D. 3053. “A nd I could always pawn my microscope for three pounds”means the writer could always____.A. exchange his microscope for three poundsB. borrow his microscope and pays three poundsC. have his microscope repaired with three poundsD. lend his microscope for three pounds54. In the sentence “I was able to live very well, pay my fees, buy my necessary instruments, clothe myself...”, the word “clothe” means____.A. wear clothesB. make clothes forC. wash clothes forD. buy clothes for55. The writer wanted to be a writer because____.A. he liked to take risksB. he found it easier to make a living by writingC. he was interesting in writingD. he could not study medicine wellPassage 4How often one hears children wishing they were grown up, and old people wishing they were young again. Each age has its pleasures and its pains, and the happiest person is the one who enjoys what each age gives him without wasting his time in useless regrets.Youth is a time when there are few tasks to make life difficult. If a child has good parents, he is fed, looked after and loved whatever he may do. It is impossible that he will ever again in his life be given so much without having to do anything in return. In addtion, life is always presenting new things to the child---things that have lost their interest for older people because they are too well-known. But a child has his pains: he is not so free to do what he wishes to do; he is continually being told not to do things, or being punished for what he has done wrong.When the young man starts to earn his own living, he can no longer expect others to pay for his food, his clothes, and his room, but has to work if he wants to live comfortably. If he spends most of his time playing about in the way that he used to as a child, he will go hungry. And if he breaks the laws of society as he used to break the laws of his parens, he may go hungry. And if he breaks the laws of society as he used to break the laws of his parents, he may go to prison. If, however, he works hard, keeps out of trouble and has good health, he can have the great happiness of building up for himself his own position in society.56．People can experience happiness if they___.A. always thinks of the past and regret itB. value the presentC. are no longer youngD. become old and have much experience57．When people were young, they used to___.A. be in charge of many businessesB. have few things to think about and take onC. look after their younger sisters and brothersD. face a lot of difficulties58．The pains of children lie in the fact that___.A. no one helps them make right decisionB. they are often beaten by their parentsC. they can not be accepted and praised by othersD. they are not allowed to do what they like to do59．Children are usually happy because___.A. old people lose interest in themB. they are free to do wrongC. they are familiar with everything going on around themD. things are new to them60．Which of the following is NOT needed for a young man to be happy?A. Hard workB. Being free from troubleC. WealthD. HealthePart ⅢCloze （20 points）each blank there are four choices marked A), B), C) and D). You should choose the ONE that best fits into the passage and write the corresponding letter in the brackets“【】”.It was an early morning in summer. In the streets, sleepy-eyed people were moving quickly, heading towards their 61 . This was the beginning of another 62 day in New York City. 63 this day was to be different.Waiting 64 the crowded streets, on top of a 65 110 stories high, was Philippe Petit. This daring Frenchman was about to 66 a tightrope（绷索）between the two towers of the World Trade Center.Philippe took his first 67 with great care. The wire held. Now he was 648 he could do it. 69 only a balancing pole, Philippe walked his way across, a 70 of 131 feet.Soon the rush-hour 71 began to notice. What a 72 ! There, 1350 feet above the street, a 73 figure was walking on air.Philippe made seven 74 , back and forth （来回）. He wasn't satisfied with just 75 . At times, he would turn, sit down, and 76 go on his knees. Once, he had the astonishing 77 to lie down on the thin thread. And thousands of78 watchers stared with their hearts beating fast.。