山东大学网络教育高升专入学考试样题答案

山东大学网络教育高升专入学考试样题答案

【篇一：2015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要求的，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

a．f?x??lnx 和 g?x??2lnx b．f?x??|x| 和 g?

x??

c．f?x??x 和 g?

x??

d．f?x??

2

|x|

和 g?x??1 x

2．若极限limf(x)?a存在，下列说法正确的是（ 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(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?

a．f??

x2?ax?6

?5,则a的值是（ b） 4．已知lim

x?11?x

a．7b．?7 c． 2 d．3 5．线y?2(x?1)在(1,0)点处的切线方程是（ d ）

a．y??x?1 b．y??x?1 c．y?x?1 d．y?x?1

二、填空题：本大题共8个小题，每题5分，共40分。把答案填在题中横线上。 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.

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

?

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．设某企业在生产一种商品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物税为多少时，在企业获得利润最大的c(x)?200?50x?x

情况下，总税额最大？

解：设每件商品征收货物税为a,

企业获得利润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

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

因为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要求的，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）

a．（-3，3） b．[-3，3 ]c．（?,） d．（0，3） 3，

ax3?b

2．已知lim?1，则（ b）

x?0xtan2x

a．a?2,b?0b．a?1,b?0c．a?6,b?0 d．a?1,b?1 3．如果

?df(x)??dg(x),则下述结论中不正确的是（ a）.

d?f?(x)?d?g?(x)

??a．f(x)?g(x) b．f(x)?g(x)

c．df(x)?dg(x) d．

4． 曲线 y?x3?x?2 在点(1,0)处的切线方程是（ b ）

a．y?2(x?1) b．y?4(x?1)c．y?4x?1 d．y?3(x?1) 5．sinxcosxdx?（ a ） a．?

二、填空题：本大题共8个小题，每题5分，共40分。把答案填在题中横线上。

?

1111

cos2x?c b．cos2x?c c．?sin2x?c d．cos2x?c

4242

1x3?2x2?1

6．lim__________. ?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)确定，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

13．y???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?2[t?ln(1?t)]?c

1?t

2

?xe?x,x?0?

16．设函数f(x)??，计算 1

,?1?x?0?

?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将定义域分成三个区间（-?，，（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：高起专英语试题】

class=txt>i. 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 birthday 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. shouldntb. 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 here to the bus change center?

— quite near. it’s only about half a kilometer.

a. how oftenb. how soon c. how muchd. how far

( d ) 13. —why don’t you leave school? its already eight oclock.

— because i ____________ my homework yet.

a. don’t finish b. wasn’t finishing

c. wont finish d. havent finished

( c ) 14. —the 2016 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 borrow 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 strict ________ 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, 2014.

a. on b. 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. my father didn’t 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 ) 26.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 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 opener—get it right!

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 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 food—a little good luck can help!

clarence birdseye had the chance to go on a trip to如e arctic. when people there caught 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 for a long time.

air conditioning—one 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 paper. 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 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 lead 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. “i’m paying for myself, and for the six cars behind me,” she said with a smile, handing over seven tickets. one after another, 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 friend’s refrigerator: “practice random (随意的) kindness and senseless acts of beauty.” the phrase impressed (使某人印象深刻) her 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 didn’t 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 restaurant that anne wrote the phrase down on a piece of paper, after turning it around in her mind for days.

“here’s 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 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 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 well.

a. thought it was beautifully written

b. wanted to know what it really meant

c. 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 herbert

( 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 it 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.

fifteen—one more than allowed. zachs eyes filled with tears.

if zach 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 rules. 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 themselves.

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 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 might as well praise a man for not robbing a bank.

so even the error had no effect on zachs final score—he 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. before zach counted his clubs four times.

( b ) 37. zach nash returned the medal he won in the junior tournament because________.

【篇三：2015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个未完成的对话，针对每个对话是未完成的部分有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. sorry, he is out at the moment b. no, you can’t

c. sorry, you can’t d. i don’t know

2. —i’m terribly sorry that i made your table cloth dirty.

—_____a_.

a. never mind b. don’t mention it

c. that’s right d. sorry

3. ― do you mind if i open the window?

―___b___ i feel a bit cold.

a. of course not. b. i’d rather you didn’t.

c. go ahead. d. why not?

4. — excuse me, sir. where is dr. smith’s office?

— .

a. you can’t ask me

b. good question

c. please don’t say so

d. sorry i don’t know, but you can ask the man over there

5.— good morning, sir. may i help you?

— a. no, i don’t buy anything b. no, i don’t need your help

c. yes, i need some salt d. oh, no. that’s 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 terrible accident. cutting another car off can make its driver angry, so that driver cuts off someone else. pretty soon everybody is angry, and impatient.

traffic accidents declare millions of lives every year worldwide. in taiwan alone, over seven people are killed in accidents every day. the annual death rate (年死亡率) from traffic accidents in taiwan is twice that of japan.

to allow traffic to move smoothly and safely, everybody must follow the rules. before you drive, learn all the traffic laws. that way of driving is safe, convenient and even fun!

6. the word “convenient ” in the passage means _____a___ .

a. handy, easy to do

b. that can be changed

c. fond of drinking and merry-making

d. carriages or other trucks

7. if you cut another car off, its driver may be ___c____.

a. impatientb .terrible

c. angryd. both a and b

8. the sentence traffic accidents declare millions of lives means ____b___.

a. traffic accidents make some people become millionaires

b. many people die from traffic accidents

c. millions of people say they themselves have had traffic accidents

d. millions of people remain healthy after traffic accidents

9.according to the passage, driving can be safe if __b_____. a. you are patient

b. you obey all the traffic rules

c. you dont cut another car off

d. you wait in line at a red light

10. which of the following may be the best title for this passage? __a_____.

a. traffic safety

b. careful

c. how to drive a car

d. a traffic accident

passage 2

women are healthier than housewives. evidence shows that the jobless are in poorer health than jobholders.

why is work good for health? it is because work keeps people busy away from loneliness. researches show that people feel unhappy, worried and lonely when they have nothing to do. instead, the happiest are those who are busy. many high achievers who love their careers feel that they are happiest when they are working hard. work serves as a bridge between man and reality. by work people come into with each other. by collective activity they find friendship and warmth. this is helpful to health. the loss of work means the loss of everything. it affects man spiritually and makes him ill.

besides, work gives one a sense of fulfillment and a sense of achievement. word makes one feel his value and status in society. when a writer finishes his writing or a doctor successfully operates on a patient or a teacher sees his students grow, they are happy beyond words.

from the above we can come to the conclusion that the more you work the happier and healthier you will be. let us work hard and study and live a happy and healthy life.

11. the underlined word “average” in paragraph 1 means ___c___.

a. healthyb. lazyc. ordinary d. poor

12. the reason why housewives are not as healthy as career women is that ___c___.

a. housewives are poorer than career women

b. housewives have more children than career women

c. housewives have less chance to communicate with others

d. housewives eat less food than career women

13. which of the following statements is true according to paragraph 2? d

a. busy people have nothing to do at home.

b. high achievers don’t care about their families.

c. there is no friendship and warmth at home.

d. a satisfying job helps to keep one healthy.

14. we can infer from the passage that those who do not work __a___.

a. are likely to live a shorter life

b. will lose everything at home

c. can live as long as those who work

d. have more time to make new friends

15. the best title for this passage may be __b___.

a. people should find a job

b. working hard is good for health

c. people should make more friends by work

d. the loss of work means the loss of everything

模拟题一 第三部分：

a. 词汇与结构

此部分共有5个未完成的句子，针对每个句子中未完成的部分有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。 16. since he left the university, he _a____ in an accounting company.

a. has been working b. had worked

c. had been working d. was working 17. the weather in china is different from __c__.

a. americab. in americac. that in americad. one in america 18. it was not until dawn ___b__ their way out of the forest.

a. when they foundb. that they found

c. did they find d. that they didn’t find

19. __a__ he says or does won’t make me change my mind at all.

a. whatever b however c. which d. how

20. we all believe that it’d be hard for him to __c___ extra responsibilities now.

a. take apart b. take upc. take on d. take back

b. 完型填空

以下短文中共包含10个未完成的句子，针对每个句子中空缺部分有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。

in china it is relatively usual to ask people

but

in the west this generally regarded as impolite. this is particularly true

if the inquirer is a man.

like how old are you?. if

elderly people want to

age, and perhaps receive

a in a free way. they normally expect to be complimented on their youthfulness, though rather than to be told that they look very old!

b 21. a. onb. for c. in d. of

a22. a. that b. suchc. thand. so

b 23. a. averageb. normalc. expectedd. unusual

a 24. a. being askedb. askingc. to askd. to be asked

c 25. a. release b. reflect c. reveal d. remark

d 26. a. to b. with c. for d. at

b 27. a. openb. strange c. impolite d. direct

d 28. a. bring about b. bring up c. bring alongd. bring to

a 29. a. guessb. knowc. learnd. predict

d 30. a. for b. with c. in d. on

模拟题一 第四部分：英译汉

请在15分钟内把下列3句英文翻译成中文，把答案写在答题纸上。

1. do you know the man lying under the apple tree?

你认识躺在苹果树下的那个人吗？

2. you will have to buy some reference books when you go to college.

当你上大学时你就要买一些参考书

3. more and more paper is being consumed nowadays.

现在纸的消费量越来越多。

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