2015年秋季入学测试机考《专升本理科》复习资料.doc

北京航空航天大学现代远程教育2015年秋季入学测试机考专升本理科复习资料高等数学一、 单项选择题：1. 函数 的定义域是（ ）（A）（B） （C）（D） 2. 函数 在区间 内（ ）（A） 单调增加（B） 单调减少（C） 不增不减（D） 有增有减 3. 下列函数中，是奇函数的是（ ）（A）（B）（C）（D）4. 已知函数 ，则的值为（ ）（A）（B）（C）1（D）05. 设函数z=f(x,y)的定义域为D=(x,y)|0x1,0y1，则函数f(x2,y3)的定义域为（ ）（A）(x,y)|0x1,0y1 （B）(x,y)|1x1,0y1（C）(x,y)|0x1,1y1（D）(x,y)|1x1,1y16. 下列集合中为空集的是（ ）（A）x|ex=1（B）0（C）(x, y)|x2+y2=0 （D）x| x2+1=0,xR7. 函数f(x)= （ ）（A）0（B）1（C）（D）8. 设f(x+2)=x2-2x+3,则ff(2)= （ ）（A）3（B）0（C）1（D）29. 二元函数f(x,y)=ln(xy)的定义域为（ ）（A） xy0（B） x0, y0（C） x0, y0, y0及x0, y010. 函数y=2x1在x=0处（ ）（A）无定义（B）不连续（C）可导（D）连续但不可导11. 函数y=xarctanx在1，1上（ ）（A）单调增加（B）单调减少（C）无最大值（D）无最小值12. 设=a,则当n时，un与a的差是（ ）（A）无穷小量（B）任意小的正数（C）常量（D）给定的正数13. 设f(x)=,则=（ ）（A）1（B）0（C）1（D）不存在14. =（ ）（A）正无穷 （B）0（C）（D）15. 设函数在x=1处间断是因为（ ）（A）f(x)在x=1处无定义（B）不存在（C）不存在（D）不存在16. 设F(x)=，其中f(t)是连续函数，则=（ ）（A）0（B）a（C）af(a)（D）不存在17. 下列积分中不能直接使用牛顿莱布尼兹公式的是（ ）（A）（B）（C）（D）18. （ ）（A）1（B）0（C）正无穷（D）219. 设，则m=（ ）（A）（B）2（C）2（D）20. 设是无穷大量，则x的变化过程是（ ）（A） x0+（B） x0-（C） x（D） x21. 函数在一点附近有界是函数在该点有极限的（ ）（A）必要条件（B）充分条件（C）充分必要条件（D）无关条件22. 设函数f(x)=，则（ ）（A）1 （B）（C） （D）123. 时，下列变量中为无穷大量的是（ ）（A）（B） （C） （D）24. 已知函数 ，则 和 （ ）（A）都存在（B）都不存在 （C）第一个存在，第二个不存在（D）第一个不存在，第二个存在25. 设 ，则 （ ）(A) （B） （C） （D） 26. 函数 ，在 处（ ）(A)左连续（B）右连续（C）连续（D）左、右皆不连续27. （ ）（A）0（B）不存在（C）（D）128. 在点 处有定义，是 在 处连续的（ ）（A）必要条件（B）充分条件（C）充分必要条件（D）无关条件29. 下列极限存在的有（ ）（A）（B）（C）（D）30. 设 在点 处可导，则下列命题中正确的是（ ）（A） 存在（B） 不存在（C） 存在（D） 不存在 31. 设y=2cosx,则=（ ）（A）2cosxln2（B）2cosxsinx（C）2cosx(ln2)sinx（D）2cosx-1sinx32. 设 ，且 存在，则 等于（ ）（A） （B） （C）（D） 33. 设 ，则 （ ）（A）（B）（C）（D） 34. 已知函数 ，则 （ ）（A） （B） （C） （D）35. 设 ，则 在 处（ ）（A） 极限不存在（B） 极限存在，但不连续 （C） 连续但不可导（D） 可导 36.37.38.39. 2015年秋季机考高等数学复习资料参考答案题号12345678910答案DDCCBDCDAD题号11121314151617181920答案AADCDCDACB题号21222324252627282930答案ACACDBCAAA题号31323334353637383940答案CBAADBCCD大学英语Vocabulary and Structure 1. An argument _ in the classroom between the children.A. broke out B. broke in C. broke off D. broke though2. When she is drunk, shes _ of saying rude things.A. ashamedB. enviousC. capable D. independent3. He has no _ of winning.A. occasionB. chance C. favorsD. fate4. Lets leave early, _ well get stuck in a traffic jam.A. unlessB. despiteC. soD. otherwise5. Words play an important _ in our everyday life.A. characterB. positionC. roleD. duty6. _ but a strong man could have lifted it.A. OneB. No oneC. AnyD. Not one7. I didnt hear _ because there was too much noise where I was sitting.A. what did he sayB. what he saidC. what was he saying D. what he says8. They tried to book the tickets five days earlier. They _ them ten days earlier.A. would have bookedB. must have bookedC. might have bookedD. should have booked9. He will continue the work _ tries to stand over him.A. no matter how B. no matter heC. no matter whoD. no matter whom10. You would not feel tired this morning if you _to bed at a reasonable hour last night.A. would goB. went C. had goneD. go11. After the trip, we all felt our holiday was_ cheap.A. shockingly B. amazingly C. wonderingly D. annoyingly12. _, and you will see a high building.A. Turning to the left B. To turn to the leftC. Having turned to the left D. Turn to the left13. The old system has died and a new one has sprung up to _ its place.A. keepB. take C. changeD. give14. The three Chinese journalists were _ killed in the missile attack. A. however B. whoever C. whichever D. whatever15. The most important thing is for NATO to meet the Chinese requests and _ full responsibility for the attack. A. bring B. give C. take D. carry16. His son was found guilty, which brought _ to the whole family.A. interest B. flame C. impression D. disgrace17. You ought to _ your food properly before swallowing it.A. lick B. chew C. bite D. eat18. I_ up some English while on my holiday abroad.A. took B. picked C. looked D. brushed19. Now many employers have _ to regard a masters degree as minimum training. A. insisted B. managed C. come D. give20. Hardly when the bell .A. did I close the door; had rungB. had I closed the door; rangC. I had closed the door; rangD. I closed the door; rang21. Do you suppose you can _ to get me a passport?A. try B. attempt C. manage D. tempt22. The knife you are cutting the bread with is _ stainless steel.A. made byB. made ofC. made from D. made in23. I wonder why they _ you so much money for such a book.A. askedB. requested C. requiredD. charged24. I dont think anybody _ apart from himself.A. matchesB. mattersC. makesD. misses25. My house is different _ your house in several ways.A. thanB. inC. fromD. to26. I wish I _ a bird.A. wasB. wereC. amD. will be27. I didnt hear _ because there was too much noise where I was sitting.A. what did he sayB. what he saidC. what was he saying D. what he says28. The vehicle in _ astronauts descend（降落）to the Moons surface is one of the most exciting items.A. thatB. whereC. itD. which29. He will continue the work _ tries to stand over him.A. no matter how B. no matter heC. no matter whoD. no matter whom30. Who doubts _ it is true?A. whyB. what C. thatD. when31. The fact _ shows that he was not serious about the meeting.A. which he didnt turn upB. that he didnt turn upC. why he didnt turn upD. for him not to turn up 32. With most of the housework _, Mrs Smith decided to have a rest.A. doneB. doingC. have doneD. being done 33. Imagine yourself as a winner, _ will be of great help to your future success.A. and B. itC. whichD. that 34. It is necessary that the task _ before Friday.A. is accomplishedB. will be accomplishedC. be accomplishedD. to be accomplished 35. The telephone _ for almost a minute. But no one answers it.A. rangB. is ringingC. had rung D. has been ringing36.I