2023年山东大学网络教育高升专入学考试样题答案.docx

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1、山东大学网络教育高升专入学考试样题答案【篇一：2023年山东大学网络教育专升本高等数学模拟题(带答案)】ss=txt一、选择题：本大题5个小题，每小题6分，共30分，在每小题给出的四个选项中，只有一项是符合题目规定的，把所选项前的字母填在题后的括号内。 1下列各组函数中，是相同的函数的是（ b ）. 2 af?x?lnx 和 g?x?2lnx bf?x?|x| 和 g?x? cf?x?x 和 g?x? df?x? 2 |x| 和 g?x?1 x 2若极限limf(x)?a存在，下列说法对的的是（ d） x?0 f(x)不存在a左极限lim? x?0 f(x)不存在 b右极限lim? x?0 f

2、(x)和右极限lim?f(x)存在，但不相等c左极限lim? x?0 x?0 f(x)?limf(x)?limf(x)?a d. lim? x?0 x?0 x?0 3 ? ?1?1 f?2dx的结果是（ d）. ?x?x ?1? ?c b?fx? ?1? ?c c?x? ?1? f?c d?f?x? ?1? ?c ?x? af? x2?ax?6 ?5,则a的值是（ b） 4已知lim x?11?x a7b?7 c 2 d3 5线y?2(x?1)在(1,0)点处的切线方程是（ d ） ay?x?1 by?x?1 cy?x?1 dy?x?1 二、填空题：本大题共8个小题，每题5分，共40分。把答案

3、填在题中横线上。 6函数y? _（-3，3）_. ?e?2x?1 x?0? 7设函数f?x?x在x?0处连续，则a? ?ax?0? ?2 .8 曲线y?2x2在点(1,2)处的切线方程为_ y-4x+2=0_. 9函数y? 13 x?x的单调减少区间为_【-1,1】3 10 若f?(0)?1，则lim x?0 f(x)?f(?x) ? x 11求不定积分 ? arcsin3x?x2 ? 14 arcsinxc4 12设f(x)在?0,1?上有连续的导数且f(1)?2，则 ? 1 f(x)dx?3， ? 1 xf(x)dx?-1 13微分方程 y?4y?4y?0 的通解是(c1?c2x)e?2x

4、. 三、计算题：本大题分为3个小题，共40分。 14 求lim解：lim sinmx ，其中m,n为自然数.（10分） x?sinnx msinmxmx =lim? x?sinnxx?nx 15求不定积分xln(1?x)dx.（15分） ? ?xln(1?x)dx 12 ln(1?x)dx2?解： 12x2?(xln(1?x)?dx)21?x12?x2ln(1?x)?1(x?1)?ln(1?x)?c2 = 16求曲线? ?x?t? 在t?处的切线与法线方程. （15分） 2?y?1?cost y?sitn?t?1k=解： ? 当t?时，x?,y?1所以切线方程为,y-x-1+? 0 222 ?

5、 法线方程为y+x-1-?0 2四、综合题与证明题：本大题共2个小题，每题 20分，共40分。 2 17设某公司在生产一种商品x件时的总收益为r，总成本函数为（x)?100x?x2 ，问政府对每件商品征收货品税为多少时，在公司获得利润最大的c(x)?200?50x?x 情况下，总税额最大？ 解：设每件商品征收货品税为a, 公司获得利润l(x)=r(x)-c(x)-ax=100x?x2-（200?50x?x2）-ax=-2x2?(50?a)x?200 l?(x)?4x?50?a 令l?(x)?4x?50?a=0，则x=税收t=ax= 50-a ,此时l?(x)取得最大值 4 a（50-a） 4

6、1 (50?2a) 4 令t?0,得：a=25 t? 当a=25时，总税额最大。 2 18证明：当1?x?2时，4xlnx?x?2x?3. f(x)?4xlnx?(x2?2x?3)f?(x)?4lnx?2x?2 证：令f?(x)? 2(2?x) x 由于f?(1)?0,所以在x?1处,f(x)取得最小值，即f(x)f(1)所以f(x)?0成立，即4xlnx?x2?2x?3 山东大学网络教育专升本数学模拟题2 一、选择题：本大题5个小题，每小题6分，共30分，在每小题给出的四个选项中，只有一项是符合题目规定的，把所选项前的字母填在题后的括号内。 1函数f(x)? 19?x 2 的定义域是（ a）

7、 a（-3，3） b-3，3 c（?,） d（0，3） 3，ax3?b 2已知lim?1，则（ b） x?0xtan2x aa?2,b?0ba?1,b?0ca?6,b?0 da?1,b?1 3假如 ?df(x)?dg(x),则下述结论中不对的的是（ a）. d?f?(x)?d?g?(x) ?af(x)?g(x) bf(x)?g(x) cdf(x)?dg(x) d 4 曲线 y?x3?x?2 在点(1,0)处的切线方程是（ b ） ay?2(x?1) by?4(x?1)cy?4x?1 dy?3(x?1) 5sinxcosxdx?（ a ） a? 二、填空题：本大题共8个小题，每题5分，共40分。

8、把答案填在题中横线上。 ? 1111 cos2x?c bcos2x?c c?sin2x?c dcos2x?c 4242 1x3?2x2?1 6lim_. ?2x?4(x?1)(2x?1) 7已知曲线y?f?x?在x?2处的切线的倾斜角为?，则f?2?8设函数y?y(x)是由方程ex?ey?sin(xy)拟定，则y? 5 6. x?0 ?1 2 9设f(x)可导, y?f(ex), 则y?_exf(ex)_. 10已知x?0时，a(1?cosx)与xsinx是等级无穷小，则a? 11不定积分?xcosxdx= xsinx+cosx+c . ）e . 12设函数y?xe，则 y? （2+x 3 1

9、3y?y?y?0是_2_阶微分方程. xx 三、计算题：本大题分为3个小题，共40分。14求函数 f(x,y)?x2?xy?y2?3x?6y的极值（10分） ?x?0 ?y?3? ?fx?(x,y)?2x?y?3?0 解：? ?fy?(x,y)?x?2y?6?0 ?(x,y)?2,fxy?(x,y)?1,fyy?(x,y)?2，?=30，所以在（0,3）处取得极小值f(0,3)=-9 fxx 15求不定积分解：令：t? ?1dx x （15分）x?t2,dx?2tdt， ? 2t dt?2t?ln(1?t)?c 1?t 2 ?xe?x,x?0? 16设函数f(x)?，计算 1 ,?1?x?0?

10、 ?1?cosx 解：令t=x-2,则x=t+2，dx=dt 2 2 ? 4 1 f(x?2)dx.（15分） ? 4 1 2111 ?te?tdt=tan?(1?e?4) f(x?2)dx?f(t)dt?=-11+cost22?10 四、综合题与证明题：本大题共2个小题，每题 20分，共40分。 17求曲线y? 14 x?x3?1的凹凸区间和拐点. 2 解：解(1)y?2x3?3x2 y?6x2?6x (2)令y?=0 x=0, x=1 0）(3) x=0, x=1将定义域提成三个区间（-?，（0,1），（1，+?） 在以上三个区间内讨论y?的符号变化及y的拐点情况，如表：【篇二：高起专英语

11、试题】class=txti. 语音知识（10分） 在下面每组单词中，有一个单词的划线部分与其它单词的划线部分的读音不同。找出这个词，并把它前面的大写字母填入左边的括号里。 ( c ( d ( b ( d ii. 词汇与语法知识（本题共20小题，每小题3分，满分60分） 从a、b、c、d四个选项中，选出可以填入空白处的最佳答案。 ( a ) 6. helen and mary are good friends. _often go to school together. a. they b. them c. their d. theirs ( b ) 7. when is heys birthd

12、ay party, lynn? the 18th, _about three oclock in the afternoon. a. on b. at c. to d. in ( a ) 8. can your father drive? yes, and he usually _ me to school. a. drives b. drove c. is driving d. has driven ( c ) 9. may i watch tv for a while? no, you _. you have to finish your homework first. a. should

13、ntb. needntc. mustnt d. wont ( c ) 10. alice, turn down the tv, please. i _on the phone. oh, sorry. a. talk b. talked c. am talking d. have talked ( d ) 11. would you like to go to the cartoon show with me? it sounds like fun, _ im too busy. a. so b. for c. ord. but ( d ) 12. excuse me. _ is it from

14、 here to the bus change center? quite near. its only about half a kilometer. a. how oftenb. how soon c. how muchd. how far ( d ) 13. why dont you leave school? its already eight oclock. because i _ my homework yet. a. dont finish b. wasnt finishing c. wont finish d. havent finished ( c ) 14. the 202

15、3 olympic games _ in brazil. would you like to go there? maybe, if possible. a. are held b. were held c. will be held d. have been held ( b ) 15. could you please tell me _? sure. there is a library on bridge street. a. where can i borrow some booksb. where i can borrow some books c. where did i bor

16、row some booksd. where i borrowed some books ( a ) 16. which of the following words matches the sound /redi/? a. readyb. read c. ride d. red ( c ) 17.which of the following underlined parts is different in pronunciation from others? ( a ) 18.in fact, my parents are not only kind to me, but also stri

17、ct _ me. a. with b. to c. for d. at ( c ) 19.the old computer is theirs but the new computer belongs to_. a. we b. our c. us d. ours ( b ) 20. kitty is such _ honest student that she never tells a lie at any time. a. a b. an c. the d. / ( b ) 21. the apec meeting was held _ november, 2023. a. on b.

18、in c. at d. for ( d ) 22. _ has your english teacher been to england? three times. a. how often b. how soon c. how longd. how many times ( b ) 23. nowadays even the flats in small towns are much _ than they used to be. a. expensive b. more expensive c. most expensive d. the most expensive ( c ) 24.

19、my father didnt give up smoking _ the doctor told him to do so. a. butb. when c. until d. after ( c ) 25. all passengers _ go through safety check before they take a plane. a. canb. may c. must d. ought iii. 阅读理解（60分） 阅读下列短文，然后根据短文的内容从每个小题的四个选项中选出最佳的一项，并把它前面的大写字母填入左边的括号里。本题共15小题，每小题4分，共60分 a ( b ) 2

20、6.with help from a mr. h, you can_. a. stop wearing your watch b. finish your homework on time c. get new books and objects d. know when parents or teachers are near ( d ) 27. a pengo watch control can help you to _. a. repair your tv b. put away your books and objects c. become a james bond d. get

21、a daily weather report ( b ) 28. you can get your mr. h for_. a. $499 b. $299 c. $199d. $99 b inventions all around us every invention has a story. these stories often have a lesson to teach, too. here are the stories of some everyday household inventions. canned food and the can openerget it right!

22、 peter durand invented canned food in 1810, but there was a problem. durand didnt have a good way to open the cans. in 1858, ezra warner invented a can opener. it used a piece of metal to cut and remove the top from the can, but it was difficult to use. finally, in 1870, william lyman added a wheel

23、to the can opener. the metal went around the top of the can and removed it easily. finally, people were able to open cans without a lot of work. canned food was soon popular. frozen fooda little good luck can help! clarence birdseye had the chance to go on a trip to如e arctic. when people there caugh

24、t fish, they put the fish in a container (容器) of ice to freeze it quickly. when people cooked the fish later, it was still good! this gave birdseye an idea. he thought people could also have this kind of food at home. in 1926, birdseye invented frozen food. people were able to store food in freezers

25、 for a long time. air conditioningone answer to two problems! printing companies make books, so they use a lot of paper. sometimes, changes in the weather can hurt the paper. in 1902, willis carrier invented air conditioning to control the temperature inside his printing company. this saved the pape

26、r. people soon realized other benefits of air conditioning. they started to air condition their homes in the summer. carriers invention changed the world! ( a ) 29. when was canned food invented? a. in 1810. b. in 1870.c. in 1902. d. in 1926. ( c ) 30. after the trip to the arctic, clarence birdseye

27、 invented _. a. canned food b. can openers c. frozen food d. air conditioning ( b ) 31. changes in weather _ in willis carriers company. a. helped to keep food b. hurt printing paper c. caused health problemsd. made rooms comfortable ( a ) 32. according to the passage, which of the following may lea

28、d to inventions? a. peoples needs. b. public support. c. modern technology. d. practical suggestions. c it was a cold winter day. a woman drove up to the rainbow bridge tollbooth. “im paying for myself, and for the six cars behind me,” she said with a smile, handing over seven tickets. one after ano

29、ther, the next six drivers arriving at the tollbooth were informed, “some lady up ahead already paid your fare.” it turned out that the woman, natalie smith, had read something on a friends refrigerator: “practice random (随意的) kindness and senseless acts of beauty.” the phrase impressed (使某人印象深刻) he

30、r so much that she copied it down.daughter of alice johnson, a local news reporter. alice put it in the newspaper, saying that though she liked it, she didnt know where it came from or what it really meant. two days later, alice got a call from anne herbert, a woman living in marin. it was in a rest

31、aurant that anne wrote the phrase down on a piece of paper, after turning it around in her mind for days. “heres the idea,” anne says. “anything you think there should be more of, do it randomly.” her fantasies include painting the classrooms of shabby schools, leaving hot meals on kitchen tables in

32、 the poor part of town, and giving money secretly to a proud old lady. anne says, “kindness can build on itself as much as violence (暴力) can build on itself.” the acts of random kindness spread. if you were one of those drivers who found your fare paid, who knows what you might have been encouraged

33、to do for someone else later. like all great events, kindness begins slowly, with every single act. let it be yours! ( c) 33. why did natalie smith pay for the six cars behind her? a. she had seven tickets. b. she hoped to please others. c. she wanted to show kindness. d. she knew the car drivers we

34、ll. a. thought it was beautifully written b. wanted to know what it really meantc. decided to write it on a warehouse wall d. wanted her husband to put it up in the classroom ( d) 35. who came up with the phrase according to the passage? a. judy foreman. b. natalie smith.c. alice johnson. d. anne he

35、rbert ( b ) 36. what can we infer from the last paragraph? a. people should practice random kindness to those in need. b. people who receive kindness are likely to offer it to others. c. people should practice random kindness to strangers they meet. d. people who receive kindness are likely to pay i

36、t back to the giver. d no one else knew about the extra (额外的) club in zach nashs golf bag. it belonged to a friend, and zach forgot it was there as he played his way to win in a junior tournament (锦标赛) this summer in wisconsin, us. fifteenone more than allowed. zachs eyes filled with tears. if zach

37、had just won a basketball or a soccer game and someone had discovered an offence (违反) after the win, it would not have mattered. bending the rules has become acceptable, if not encouraged, in many sports. it is nothing unusual for soccer players to make a turtle dive (假摔) in the hope of breaking rul

38、es. golf is different. in a win at all costs world, the game holds itself to a higher standard. golf isnt a game where referees (裁判) watch closely. in golf tournaments, dozens of competitors are spread across acres of land, so officials cannot hope to see each shot. competitors call punishments on t

39、hemselves. players feel the weight of history. golf began at least the 15th century, but it became popular as a pastime for the wealthy who seemed to always have strict rules of behavior, even when it came to shooting at each other in rights. it was a sport for gentlemen, not laborers, and gentlemen

40、 did not care about winning. they cared about doing the right thing, said robert simon, a golf coach at hamilton college in new york. honesty became a symbol of honor. when one of the games early stars, bobby jones, was praised for calling a penalty on himself at the 1925 us open. he replied, you mi

41、ght as well praise a man for not robbing a bank. so even the error had no effect on zachs final scorehe never used the extra club, the teenager packed up his medal and dropped it in the mail. but this was golf, and rules are rules. i just knew what i had to do, he said. then came another tournament.

42、 before zach counted his clubs four times. ( b ) 37. zach nash returned the medal he won in the junior tournament because_.【篇三：2023年山东大学网络教育本科英语模拟题答案一】第一部分：交际用语 此部分共有5个未完毕的对话，针对每个对话是未完毕的部分有4个选项，请从a、b、 c、d四个选项中选出可以填入空白处的最佳选项，并用铅笔将答题卡上的相应字母涂黑。 1. hello! may i talk to the manager about the price? a. so

43、rry, he is out at the moment b. no, you cant c. sorry, you cant d. i dont know 2. im terribly sorry that i made your table cloth dirty. _a_. a. never mind b. dont mention it c. thats right d. sorry 3. do you mind if i open the window? _b_ i feel a bit cold. a. of course not. b. id rather you didnt.

44、c. go ahead. d. why not? 4. excuse me, sir. where is dr. smiths office? . a. you cant ask me b. good question c. please dont say so d. sorry i dont know, but you can ask the man over there 5. good morning, sir. may i help you? a. no, i dont buy anything b. no, i dont need your help c. yes, i need so

45、me salt d. oh, no. thats ok 模拟题一 第二部分：阅读理解 此部分共有2篇短文，每篇短文后有5个问题。请从每个问题后的a、b、c、d四个选项中，选出可以填入空白处的最佳选项，并用铅笔将答题卡上的相应字母涂黑。 passage 1 driving cars, trucks and motorcycles is an important part of our lives. we do it every day to get to work, to school or to friends houses. driving can be very convenient, but can also cause many problems. waiting in line at a red light, a driver may get impatient and decide just to drive right through it. if another car is coming from the other direction, there might be a terrib