第一篇:重慶專(zhuān)升本模擬題-通報(bào)
重慶專(zhuān)升本模擬題-通報(bào)
1.某百貨商場(chǎng)因管理不善發(fā)生重大火災(zāi),其上級(jí)部門(mén)對(duì)此下發(fā)了公文,該公文應(yīng)選擇(2005)
A.情況通報(bào)
B.批評(píng)通報(bào)
C.情況報(bào)告
D.簡(jiǎn)報(bào)
2.寫(xiě)作:根據(jù)以下材料信息寫(xiě)一篇通報(bào)。(25分)(2007)XX公司職工張X(男,29歲),在2007年2月15日那天下午5點(diǎn),下班途經(jīng)青云巷口時(shí),遇一歹徒在搶劫幾個(gè)初中生。張X見(jiàn)義勇為,與歹徒展開(kāi)搏斗,后在過(guò)路群眾的協(xié)助下,將歹徒扭送派出所。請(qǐng)以張X單位的名義寫(xiě)一份表?yè)P(yáng)通報(bào)。
要求:
1、寫(xiě)出標(biāo)題和正文;
2、字?jǐn)?shù)不少于250字。
3.表彰先進(jìn),批評(píng)錯(cuò)誤,應(yīng)用的公文文種是(2008)A通知 B通告 C通報(bào)
4.簡(jiǎn)答:通報(bào)的適用范圍有哪些?(2009)
5.某學(xué)院行文表彰一批優(yōu)秀學(xué)生,應(yīng)用的文種是(2011)A.通報(bào) B.批復(fù) C.意見(jiàn) D.公告 6.寫(xiě)作:根據(jù)下面所給材料(作必要增刪),撰寫(xiě)一份通報(bào)。(25分)(2012)
★這是江東輕工業(yè)學(xué)院發(fā)出的一份通報(bào),宣布了對(duì)職工李雨的處理。處罰決定是由學(xué)院行政辦公會(huì)作出的。以方面是給李雨應(yīng)得處分,同時(shí)也是為了教育其他職工,嚴(yán)肅校級(jí)校風(fēng)。李雨是一名男性職工,今年28歲了。
★通報(bào)發(fā)給了學(xué)院下屬所有的單位,包括各個(gè)處、室以及教學(xué)系。
★李雨是學(xué)院后勤處的水電工,是因?yàn)楦改改昀隙嗖⌒枰苏疹?,?010年2月從外單位調(diào)進(jìn)來(lái)的,工作任務(wù)是維護(hù)學(xué)院的水電設(shè)備,在學(xué)院工作已兩年:
★今年3月16那天下午,他們邀約幾個(gè)兄弟伙在校園旁邊的阿青飯店喝酒,喝得熏熏大醉,酒后發(fā)瘋,同旁邊的客人發(fā)生爭(zhēng)吵,動(dòng)手打了人,還把飯店的東西打爛了,被派出所的人扭送到學(xué)院保衛(wèi)處。
★李雨很自由散漫,不大遵守工作紀(jì)律,愛(ài)睡懶覺(jué),剛來(lái)那個(gè)星期,上班就遲到了一回。從那時(shí)起到現(xiàn)在,遲到早退的回?cái)?shù)起碼有二十幾次,他還經(jīng)常同別人吵架。后勤處領(lǐng)導(dǎo)多次批評(píng)教育他,也只當(dāng)耳邊風(fēng)。
★去年11月一天晚上,他在配電室值班,擅自跑到外面去打麻將去了,結(jié)果又個(gè)開(kāi)關(guān)跳了閘,害得3號(hào)宿舍停了一個(gè)多小時(shí)的電,為此受到了警告處分。
★學(xué)院教職工對(duì)李雨這些不良行為很不滿,周?chē)木用褚埠苡幸庖?jiàn),都要求要嚴(yán)肅處理。學(xué)院決定給他行政紀(jì)大過(guò)一次的處分,扣發(fā)一個(gè)季度的獎(jiǎng)金,因?yàn)樗驙€了阿青飯店的碗盤(pán)等東西,所以還堅(jiān)決要他賠償別人的損失。
7.江南大學(xué)表彰優(yōu)秀學(xué)生以樹(shù)立學(xué)習(xí)榜樣,行文應(yīng)采用(2013)A、通報(bào)
B、意見(jiàn)
C、公告
D、通告
第二篇:重慶專(zhuān)升本模擬題-通告
重慶專(zhuān)升本模擬題-通告
1.判斷:?jiǎn)⑹竞屯ǜ娑季哂袕?qiáng)制性的特點(diǎn)。(2005)2.通常不標(biāo)注主送機(jī)關(guān)的公文是(2007)
A、通知
B、通告
C、報(bào)告
3.向社會(huì)有關(guān)方面公布應(yīng)當(dāng)遵守或周知的事項(xiàng),應(yīng)用的文種是(2007)
A、公告
B、通告
C、通報(bào)
4.某燃?xì)夤疽驒z修管道擬停氣半天,應(yīng)該使用的公文是(2014)A、通知
B、公報(bào)
C、公告
D、通告 5.寫(xiě)作:請(qǐng)代宇通學(xué)院擬寫(xiě)一份規(guī)定性通告。(25分)
宇通學(xué)院教學(xué)樓內(nèi)有學(xué)生隨地吐痰,有的帶食物進(jìn)教室,有的穿拖鞋背心去上課,有的在墻上、桌上亂寫(xiě)亂畫(huà),遲到、早退現(xiàn)象也較普遍。這些現(xiàn)象很不文明,污染了教學(xué)樓的環(huán)境。要提高學(xué)生綜合素質(zhì),建設(shè)文明校園,學(xué)院就要結(jié)合校園管理及學(xué)生學(xué)籍管理方面的規(guī)定,對(duì)這些不良習(xí)慣和違規(guī)行為進(jìn)行整治,還要增加教師督導(dǎo)員、學(xué)生督察員對(duì)教學(xué)樓進(jìn)行管理,對(duì)學(xué)生的行為進(jìn)行檢查監(jiān)督。
(說(shuō)明:不標(biāo)注版頭和版記部分。標(biāo)題用完全式。正文主體應(yīng)分條列項(xiàng)表達(dá)。成文日期為考試當(dāng)日,不能用XX代替。)
第三篇:重慶專(zhuān)升本模擬題-慰問(wèn)信
重慶專(zhuān)升本模擬題-慰問(wèn)信
1.慰問(wèn)信的標(biāo)題中必須具有(2005)
A.文種 B.事由
C.關(guān)于
D.發(fā)言者
2.在文書(shū)分類(lèi)中,感謝信、慰問(wèn)信通常屬于(2011)
A.法定文書(shū)
B.規(guī)章文書(shū)
C.事務(wù)文書(shū)
D.專(zhuān)用文書(shū) 3.寫(xiě)作:以所給材料為基礎(chǔ),適當(dāng)增補(bǔ)潤(rùn)色,擬寫(xiě)一封慰問(wèn)信(25分)(2011)
慰問(wèn)的對(duì)象是公司的全體員工,以公司的名義對(duì)員工進(jìn)行慰問(wèn)。這個(gè)公司名稱(chēng)是漢江市農(nóng)資公司。這個(gè)公司2010年提前完成了全年的銷(xiāo)售任務(wù),產(chǎn)品銷(xiāo)售額比上年增長(zhǎng)了10%,效益是十分良好的。這說(shuō)明他們?yōu)榉?wù)三農(nóng)作出了貢獻(xiàn),因此,得到了市商委和市農(nóng)委的高度贊賞。在工作中,許多同志為了完成任務(wù),受很大的辛勞也不抱怨,不怕困難多,走了許多村莊和農(nóng)戶(hù),犧牲了許多的休息時(shí)間,走村串戶(hù)為的是去宣傳公司產(chǎn)品,還向農(nóng)民傳授技術(shù)知識(shí),教他們使用和維修農(nóng)機(jī)具。去年和今年他們都是這樣出色地工作,所以今年一季度又取得好成績(jī),完成了全年計(jì)劃的40%。公司領(lǐng)導(dǎo)認(rèn)為,這是全體員工同心同德,團(tuán)結(jié)拼搏,積極開(kāi)拓市場(chǎng)取得的成績(jī)。公司寫(xiě)這封慰問(wèn)信,一方面是對(duì)員工們的辛勤付出表示慰問(wèn),還因?yàn)橐荒暌欢鹊奈逡粍趧?dòng)節(jié)就要來(lái)了,表示一下節(jié)日的祝賀,當(dāng)然,還有為了激勵(lì)大家繼續(xù)努力,搞好全年工作的意思。
(說(shuō)明:時(shí)間為今年4月,具體日期自定。正文應(yīng)400字以上)
第四篇:重慶專(zhuān)升本英語(yǔ)模擬題及答案
重慶2010年專(zhuān)升本英語(yǔ)模擬題及答案
Ⅰ.Phonetics(10 points)
Directions:
In each of the following groups of words, there are four underlined letter combinations marked A, B, C and D.Compare the underlined parts and identify the one that is different from the others in pronunciation.Mark your answer by blackening the corresponding letter on the Answer Sheet.1.A.caused
B.wished
C.guessed
D.dressed 2.A.tea
B.read(原形)
C.real
D.steal 3.A.through
B.famous
C.route
D.wounded 4.A.native
B.active
C.national
D.narrow 5.A.like
B.limit
C.knife
D.inside 6.A.ear
B.early
C.earth
D.earn
7.A.thank
B.another
C.smooth
D.clothes 8.A.afternoon
B.classroom
C.roommate
D.boot 9.A.houses
B.horses
C.rises
D.exercises
10.A.expression
B.discussion
C.vision
D.permission
Ⅱ.Vocabulary and Structure(40 points)Directions:
There are 40 incomplete sentences in this section.For each sentence there are four choices marked A, B, C and D.Choose one answer that best completes the sentence and blacken the corresponding letter on the Answer Sheet.11.______ riding to school, Mary usually goes to school on foot.A.Without
B.Rather than
C.Instead of
D.Inspite of 12.The teacher will tell us _______ to have the exam next Monday.A.if
B.that
C.if not
D.whether 13.In order to grow well, the Blue Sprace, like other pine trees, ______ a temperate climate.A.require
B.requires
C.is required
D.that requires 14.It took them more than ten years to ______ the defensive works.A.build in
B.build into
C.build on
D.build up 15.I haven’t decided which seat ________.A.to sit
B.is to sit
C.to sit on
D.is for sitting 16.Susan wants to know whether the measures have been agreed _______.A.to
B.with
C.over
D.on
17.All _______ is a continuous supply of the basic necessities of life.A.what is needed
B.for our needs
C.the thing needed
D.that is needed
18.His hard work _______ when he won the prize.A.paid off
B.showed off
C.rang off
D.kept off 19.The fire _______ two persons’ death as well as the damage of all the store’s property.A.is resulted in
B.is resulted from
C.resulted in
D.resulted from 20.On Sundays I prefer _______ at home to _______ out.A.to stay…go
B.stay…going
C.staying…going D.staying…go
21.Generally, the thicker a mammal’s(哺乳動(dòng)物)skin is, the less hair ______.A.that has it
B.that it has
C.has it
D.it has
22.My father ______ an invitation to a dinner party, but he _______ it.A.accepted…received
B.received…accepted
C.accepted…didn’t receive
D.received…didn’t accept 23._______ their homework, the children went for a walk.A.When they were doing
B.After they have done
C.Having done
D.They had done 24.My parents never let me _______ alone.A.to travel
B.to travelling
C.travelling
D.travel 25.Hardly _______ the classroom when the class began.A.had he entered
B.he had entered
C.he entered D.he was enter 26.We all enjoy working _______ him because he is a kind leader.A.along
B.in
C.under
D.on 27.She is _______to refuse, so I have to give in.A.a too kind girl
B.too a kind girl
C.too kind a girl
D.a gird kind too 28.He couldn’t use his own car because it ________ then.A.was being repaired
B.was repairing
C.is repairing
D.has been repaired 29._______ go to the Great Wall for a visit?
A.Why don’t
B.How about
C.Will we
D.Why not 30.With the guide ______ the way, we set out on foot into the night dark.A.lead
B.leading
C.led
D.to lead 31.He seems _______ from this university.A.graduating
B.being graduated
C.to graduate
D.to have graduated 32.The refugees need many things, but _______, they need food and medicine.A.at most
B.above all
C.after all
D.at the first 33.______ France Viuard an excellent political speaker but she was also among the first members of the populist party.A.Not only
B.If only
C.Only
D.Not only was 34.He failed in the examination three times but _______ he passed.A.at end
B.at finish
C.at last
D.at least 35.On his return from his college, he found the house ________.A.deserting
B.deserted
C.desert
D.to be deserted 36.When Jane fell off the bike, the other children ________.A.were not able to help laughter
B.could not help but laughing
C.could not help laughing
D.could not help to laugh 37.English is _______ interesting to us.A.much
B.very
C.very much
D.more 38.Grammar books here _______ well.A.are sold
B.sell
C.sells
D.have been sold
39.If everybody is _______, let’s begin our class.A.sat
B.seated
C.seat
D.sitted 40.He must have been there before, ________?
A.hasn’t he
B.haven’t he
C.doesn’t he
D.isn’t he 41.He had to give up ___ the football match because he had his leg injured in the accident.A.taking part in
B.took part in
C.to take part in
D.take part in 42.The young people felt that they needed no help from anyone.They were very _____.A.unexpected
B.independent
C.resistant
D.separate 43.I hope my teacher will take my recent illness into _____ when judging my examination.A.regard
B.counting
C.account
D.observation 44.The letters PTO _______ parent-teacher organization.A.stand for
B.call for
C.heard for
D.care for 45.Something always _______ wrong when we try this recipe.A.has gone
B.have gone
C.go
D.goes 46.My watch ______ three o’clock.A.tells
B.speaks
C.talks
D.says 47.When I took his temperature, it was two degrees above _______.A.average
B.ordinary
C.regular
D.normal 48.I’d rather you _______ anything about it for the time being.A.do
B.don’t have
C.didn’t have
D.didn’t do 49.I don’t think we can take it ______, some problems still remains.A.on hand
B.by chance
C.for granted
D.at will 50.She walked across immense room _______ every one looking at her.A.with
B.as
C.while
D.when Ⅳ.Reading Comprehension(60 points)
Directions:
There are four reading passages in this part.Each passage is followed by five questions.For each question there are four suggested answers marked A, B, C and D.Choose one best answer and blacken the corresponding letter on the Answer Sheet.Passage One
In the old days, divers used to go down into the sea looking for ships that had sunk, because they hoped to find gold and jewels.Now divers still search for valuable things in sunken ships, but they also try to bring to the surface the ships themselves, or parts of them.The value of different kinds of metals has increased greatly over the last twenty or thirty years and even though a ship has been under the sea for many years, it may be worth a great deal.One famous sunken ship is the “Lusitania”, which sank off the southern coast of Ireland in 1915 with a loss of nearly, 1,500 lives.It has four huge propellers made of an expensive metal.Today each of those propellers is worth $ 300,000 or more.The ship lying on the sea-bed has been brought by a man called John Light.He paid about $ 1,200,000 for the whole ship.He hopes to bring up those propellers and sell them.He also hopes to sell other parts of the ship, when he has brought them to the surface, for about $ 600,000.61.Divers today try to bring to the surface _______.A.gold and jewels
B.parts of ships
C.whole ships
D.all of the above
62.Diver try to bring up metals because ________.they have been in the sea for a long time
gold and jewels are not valuable things
some kinds of metals are worth a lot of money
it is easy to bring up metals
63.The word “surface” in the passage means the ______.D.sea
64.John Light hopes that he may be able to sell all the parts of the “Lusitania” for about _____.D.$1,800,000
65.John Light bought the “Lusitania” _______.A.before 1915
B.before it sank
C.after it sank
D.after they had brought up the propellers
Passage Two
Man’s first real invention, and one of the most important inventions in history, was the wheel.All transportation and every machine in the world depend on it.The wheel is the simplest yet perhaps the most remarkable of all inventions, because there are no wheels in nature—no living thing was ever created with wheels.How, then, did man come to invent the wheel? Perhaps some early hunters found that they could roll the carcass of a heavy animal through the forest on logs more easily than they could carry it.However, the logs themselves weighed a lot.It must have taken a great prehistoric thinker to imagine two thin slices of log connected, at their centers by a string stick.This would roll along just as the logs did, yet be much lighter and easier to handle.Thus the wheel and axle came into being and with them the first carts.66.The wheel is important because _______.A.it was man’s first real invention
B.all transportation depends on it
C.every machine depends on it
D.both B and C 67.The wheel is called _______.A.simple
B.complicated
C.strange
D.unusual
68.It was remarkable of man to invent the wheel because _______.A.it led to many other inventions
B.man had no use for it then
C.there were no wheels in nature
D.all of the above
69.The wheel was probably invented by ______.A.a group of early hunters
B.the first men on earth
C.a great prehistoric thinker
D.the man who made the first cart
70.This selection says that the first wheel may have been a ______.A.round piece of stone
B.heavy log
C.piece of metal
D.slice
A.market
B.air
C.top of a liquid
A.$12,000
B.$300,000
C.$1,200,000
of log
Passage Three
Eating in space is different from eating on earth.The food that astronauts carry with them does not look like the food you eat.Some food is carried in closed bags.It is cooked and frozen before the astronauts get it.All the water is removed from the food.In the spaceship the astronaut puts the water back.He “shoots” hot or cold water into the food bag with a special gun.He eats the food through a small hole in the bag.Other foods come in bite sizes.The astronaut puts a whole piece in his mouth at once.There an be no crambs.Crambs would float around the spaceship and get in the way.Meat and cake often come in bite-sized pieces.Astronauts can’t drink water from open cups.The water would float in drops in the air.The water is put in the special gun.The astronaut shoots the water into his mouth.Eating in space is not easy.Astronauts must learn to eat this way.71.Some space foods are carried in _______.A.water guns
B.lunch boxes
C.closed bags
D.crumbs
72.The story does not say this, but from what we have read, we can tell that ______.A.you get much hungrier in space than you do B.you can’t have water to drink in a spaceship
C.astronauts must learn many new and different things D.you can’t eat anything in a spaceship 73.Why can’t astronauts drink water from cups? A.The water would come from the open cups.B.The water would spill all over their food.C.Crambs would float in the cups.D.The cups would float in the air.74.The main idea of the whole story is that _______.A.there is more food and water in space than on earth B.eating and drinking in space is a special problem C.astronauts can never eat or drink in a spaceship D.there is no food or water in a spaceship
75.Which of the following does the story lead you to believe? A.Food for astronauts must be made in a special way.B.All meat on earth comes in bite-sized pieces.C.Astronauts will only eat cakes made from crambs.D.Astronauts have to go hungry in a spaceship.Passage Four
The energy which the sun radiates goes in every direction, and only a minute part of it falls on the earth.Even so, it represents power of about 5,000,000 horsepower(馬力)per square mile per day;the sun gives us as much energy every miunte as mankind utilizes in a year.At present, we use this energy indirectly, and it is our final source of power.Coal represents the chemical action of the sun on green plants thousands of years ago.Water power results from the rain formed by vapor which comes from the evaporation of water under the sunshine.Even windmills operate because of air currents set in motion by the different heating affects of the sun in different places.Some day, through chemistry or some type of solar engine, we shall harness this great source of energy more directly.Already a scientist has worked out an engine, surprisingly efficient, in which the sun’s rays are concentrated through mirrors on a tube of water to create steam.76.How much energy given off by the sun reaches the earth?
A.100% but indirectly.B.5%.C.50%.D.only a very tiny amount.77.The reason why all the solar energy falling on the earth can’t be utilized is that ______.A.only a very small part is available B.the sun is too distant from the earth
C.it takes thousands of years for this energy to be stored up in coal and oil D.our scientific knowledge is not sufficient 78.Which of the following statements is NOT true? A.Even windmill’s action depends on the sun.B.The sun produces enormous energy for man to make use of.C.Some day man will be able to utilize 100% of the solar energy that gets to the earth.D.The sun produces different heating effects in different places.79.In order to support this argument, the writer gives the example that _______.A.a machine using solar energy efficiently has already been developed B.the sun is our final source of power C.man uses only a tiny part of the sun’s energy D.the part of the sun’s energy we use is used indirectly 80.This passage centers mainly on ________.A.harnessing energy through chemistry B.our last source of power
C.how water power is produced
D.the amount of solar energy that can be utilized
Ⅴ.Writing(20 points)Directions:
For this part, you are allowed 20 minutes to write a letter of about 80 words according to the following topic.男女應(yīng)該平等嗎?(Should Men and Women Be Equal?)
參考答案
Ⅰ.Phonetics
1.A
2.C
3.B
4.A
5.B
6.A
7.A
8.B
9.B
10.C
Ⅱ.Vocabulary and Structure
11.C
12.D
13.B
14.D
15.C
16.D
17.D
18.A
19.C
20.C
21.D
22.D
23.C
24.D
25.A
26.C
27.C
31.D
32.B
36.C
37.B
41.A
42.B
46.D
47.D
Ⅳ.Reading Comprehension 61.D
62.C
66.D
67.A
71.C
72.C
76.D
77.D
28.A
33.D
38.B
43.C
48.D
63.C
68.C
73.A
78.C
29.D
34.C
39.B
44.A
49.C
64.D
69.C
74.B
79.A
30.B
35.B
40.A
45.D
50.A
65.C
70.D
75.A
80.D
第五篇:2011高等數(shù)學(xué)模擬題專(zhuān)升本
山東省專(zhuān)升本《高等數(shù)學(xué)》模擬試題
(一)一、填空題 1.函數(shù)y?ln(3?x)|x|?1?x的定義域?yàn)開(kāi)____________.?x?1?2.lim??x???x??____________.3.曲線y?(x?4)33?x在點(diǎn)(2,6)處的切線方程為_(kāi)_________.二、選擇題
1.設(shè)f(x)在點(diǎn)x0處可導(dǎo),且f?(x0)??2,則lim(A).12f(x0?h)?f(x0)hh?0?()(B).2(C).?12(D).?2
2..當(dāng)x?0時(shí), x2與sinx比較是().(A).較高階的無(wú)窮小(B).較低階的無(wú)窮小(C).同階但不等價(jià)的無(wú)窮小(D).等價(jià)的無(wú)窮小
3.設(shè)曲線y?x2?x?2在點(diǎn)M處的切線斜率為3,則點(diǎn)M的坐標(biāo)為()(A).(1,0)(B).(?1,0)(C).(2,4)(D).(-2,0)
(C).y?cos(arcsinx?C)(D).arcsinx?C
三、計(jì)算題 1.計(jì)算limx?arctanxln(1?x)3
dzdtx?02.設(shè)z?uv?sint,u?e,v?cost,求全導(dǎo)數(shù)3.求微分方程xy??y?xcosx的通解.?t.4.求冪級(jí)數(shù)?n?1(?1)n2n?1x的收斂域.n山東省專(zhuān)升本《高等數(shù)學(xué)》模擬試題
(一)解析
一、填空題: 1.函數(shù)y?ln(3?x)|x|?1的定義域?yàn)開(kāi)____________.分析 初等函數(shù)的定義域,就是使函數(shù)表達(dá)式有意義的那些點(diǎn)的全體.解 由??3?x?0?|x|?1?0?x知,定義域?yàn)?x1?x?3或x??1?.?x?1?2.lim??x??x???__________?x?__.分析 屬1型,套用第二個(gè)重要極限.?x?1?解 lim??x???x?1???lim?1??x??x??x?(?1)?e?1.3.曲線y?(x?4)33?x在點(diǎn)(2,6)處的切線方程為_(kāi)_________.解 y??33?x?(x?4)?3?13(3?x)2,y?x?2??1,所求切線方程為:y?6??(x?2),即y??x?8.二、選擇題
1.設(shè)f(x)在點(diǎn)x0處可導(dǎo),且f?(x0)??2,則lim(A).12f(x0?h)?f(x0)hh?0?()
(B).(C).?12
(D).?2
解 limf(x0?h)?f(x0)hh?0?limf(x0?h)?f(x0)?hh?0?(?1)??f?(x0)?2.選(B).22..當(dāng)x?0時(shí), x與sinx比較是().(A).較高階的無(wú)窮小
(B).較低階的無(wú)窮小
(C).同階但不等價(jià)的無(wú)窮小
(D).等價(jià)的無(wú)窮小
分析 先求兩個(gè)無(wú)窮小之比的極限,再做出正確選項(xiàng).解 因lim2x2x?0sinx?limxsinxx?0?x?0,故選(A).3.設(shè)曲線y?x?x?2在點(diǎn)M處的切線斜率為3,則點(diǎn)M的坐標(biāo)為()
(A).1(,0)
(B).?(1,0)
(C).2(,4)
(D).(-2,0)解 由y??2x?1?3知x?1, 又y
三、計(jì)算題 1.計(jì)算limx?arctanxln(1?x)3x?1?0,故選(A).分析 屬00型未定式,利用等價(jià)無(wú)窮小代換,洛必達(dá)法則等求之.x?0解 limx?arctanxln(1?x)x22x?03?limx?arctanxx31??limx?011?x23x2
x?0?limx?03x(1?x)2?lim13(1?x)2x?0?13.dzdt2.設(shè)z?uv?sint,u?et,v?cost,求全導(dǎo)數(shù)解 dzdt??z?ut.?dudt??z?v?dvdt??z?t
t?ve?u(?sint)?cost?e(cost?sint)?cost.3.求微分方程xy??y?xcosx的通解.分析 屬一階線性微分方程,先化成標(biāo)準(zhǔn)形,再套用通解公式.解 原方程化為: y??通解為: y?e??p(x)dx1xy?cosx,p(x)?1x,q(x)?cosx
11?dx?dx?p(x)dx?????xxq(x)edx?C?ecosxedx?C??? ?????????111?????xsinx?cosx?C?.xcosxdx?C?xdsinx?C???xxx4.求冪級(jí)數(shù)?n?1(?1)n2n?1x的收斂域.n分析 先求收斂半徑,收斂區(qū)間,再討論端點(diǎn)處的斂散性,從而確定收斂區(qū)域.解 收斂半徑:R?limanan?1n?1nn???lim(n?1)n22n???1, 收斂區(qū)間為(-1,1)?在x??1處,級(jí)數(shù)?n?1?(?1)n2?(?1)???n?11n2收斂;在x?1處,級(jí)數(shù)?n?1(?1)n2n?1收斂,所以收斂域?yàn)?[-1,1].山東考試書(shū)店是山東最大的專(zhuān)升本專(zhuān)業(yè)書(shū)店,下設(shè)山大店和山師店。主營(yíng)專(zhuān)升本教材、公共課真題(2005-2011)包含聽(tīng)力、專(zhuān)業(yè)課真題(2006-2011)專(zhuān)業(yè)課筆記、練習(xí)題、課件。贈(zèng)送公共課課件、真題、練習(xí)題、資料。聯(lián)系QQ:187211979
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