電大數(shù)學(xué)分析專題研究試題模擬試題及參考答案小抄參考

1、專業(yè)好文檔數(shù)學(xué)分析專題研究試題模擬試題及參考答案一、填空題（每小題3分，共18分）1集合x中的關(guān)系r同時(shí)為反身的，對(duì)稱的，傳遞的，則該關(guān)系r為 .2設(shè)e是非空數(shù)集，若存在實(shí)數(shù)，滿足1），有；2） ，則稱是數(shù)集e的下確界。3函數(shù)在點(diǎn)的某個(gè)鄰域內(nèi)有定義，若 存在，則稱函數(shù)在點(diǎn)可導(dǎo)。4若是對(duì)數(shù)函數(shù)，則滿足函數(shù)方程 。5若非零連續(xù)函數(shù)滿足方程，則函數(shù)是 函數(shù)。6設(shè)函數(shù)定義在區(qū)間上，對(duì)于任意的，有 成立，則稱在上為下凸函數(shù)。二、單項(xiàng)選擇題（每小題3分，共18分）1設(shè)：，則a（ ）a. = b. c. d. 2已知函數(shù)在區(qū)間上可導(dǎo)，有，則（ ）。a. 有界 b. 無界 c. 可積 d. 不可積3已知函數(shù)與

2、在a,b上可導(dǎo)，且 ，則（ ）。a. b. d. 前三個(gè)結(jié)論都不對(duì)4已知，對(duì)于，定義，則在區(qū)間0，2上（ ）。a. 連續(xù) b. 不連續(xù) c. 可導(dǎo) d. 前三個(gè)結(jié)論都不對(duì)5已知是區(qū)間上的嚴(yán)格下凸函數(shù)，則（ ）。a. b. 最小值唯一 c. d. 最大值唯一6定義在（0，1）上，則在（0，1）上是( )函數(shù)a. 有界 b. 無界 c. 周期 d. 偶三、計(jì)算題（每小題8分，共32分）1已知，求2求定積分3已知，求。4求四、證明題（每小題8分，共32分）1設(shè)數(shù)列滿足0且，則級(jí)數(shù)收斂2已知函數(shù)在上連續(xù)，在內(nèi)存在二階導(dǎo)數(shù)，且，存在。則至少存在一點(diǎn)，使。3已知，證明4已知函數(shù)在上連續(xù)非負(fù)，且存在一點(diǎn)，使

3、，則。模擬試卷參考答案一、填空題（每小題3分，共18分）1等價(jià)關(guān)系2，使得3 45線性6二、單項(xiàng)選擇題（每小題3分，共18分）1d 2c 3d 4a 5b 6a三、計(jì)算題（每小題8分，共32分）1解： 3解 故 4解 = 四、證明題（每小題8分，共32分）1 證明：因，故存在n，當(dāng)時(shí)，2 即時(shí)，有 （4分） 因?yàn)榧?jí)數(shù)收斂。 故有。因收斂（7分），故收斂。 2證明：已知f(x)在（a,b）內(nèi)存在二階導(dǎo)數(shù)，故f(x)在（a,b）內(nèi)連續(xù)，由拉格朗日定理，存在，使得 存在，使得 故存在，使得 3證明：已知在上是上凸函數(shù)（2分），故對(duì)于有 故 4證明：已知f(x)在a,b上連續(xù)且存在使，故存在，使得且當(dāng)

4、時(shí)，（4分），因f(x)非負(fù)，故 if we dont do that it will go on and go on. we have to stop it; we need the courage to do it.his comments came hours after fifa vice-president jeffrey webb - also in london for the fas celebrations - said he wanted to meet ivory coast international toure to discuss his complaint.csk

5、a general director roman babaev says the matter has been exaggerated by the ivorian and the british media.blatter, 77, said: it has been decided by the fifa congress that it is a nonsense for racism to be dealt with with fines. you can always find money from somebody to pay them.it is a nonsense to

6、have matches played without spectators because it is against the spirit of football and against the visiting team. it is all nonsense.we can do something better to fight racism and discrimination.this is one of the villains we have today in our game. but it is only with harsh sanctions that racism a

7、nd discrimination can be washed out of football.the (lack of) air up there watch mcayman islands-based webb, the head of fifas anti-racism taskforce, is in london for the football associations 150th anniversary celebrations and will attend citys premier league match at chelsea on sunday.i am going t

8、o be at the match tomorrow and i have asked to meet yaya toure, he told bbc sport.for me its about how he felt and i would like to speak to him first to find out what his experience was.uefa hasopened disciplinary proceedings against cskafor the racist behaviour of their fans duringcitys 2-1 win.mic

9、hel platini, president of european footballs governing body, has also ordered an immediate investigation into the referees actions.cska said they were surprised and disappointed by toures complaint. in a statement the russian side added: we found no racist insults from fans of cska.baumgartner the d

10、isappointing news: mission aborted.the supersonic descent could happen as early as sunda.the weather plays an important role in this mission. starting at the ground, conditions have to be very calm - winds less than 2 mph, with no precipitation or humidity and limited cloud cover. the balloon, with

11、capsule attached, will move through the lower level of the atmosphere (the troposphere) where our day-to-day weather lives. it will climb higher than the tip of mount everest (5.5 miles/8.85 kilometers), drifting even higher than the cruising altitude of commercial airliners (5.6 miles/9.17 kilomete

12、rs) and into the stratosphere. as he crosses the boundary layer (called the tropopause),e can expect a lot of turbulence.the balloon will slowly drift to the edge of space at 120,000 feet ( then, i would assume, he will slowly step out onto something resembling an olympic diving platform.below, the

13、earth becomes the concrete bottom of a swimming pool that he wants to land on, but not too hard. still, hell be traveling fast, so despite the distance, it will not be like diving into the deep end of a pool. it will be like he is diving into the shallow end.skydiver preps for the big jumpwhen he ju

14、mps, he is expected to reach the speed of sound - 690 mph (1,110 kph) - in less than 40 seconds. like hitting the top of the water, he will begin to slow as he approaches the more dense air closer to earth. but this will not be enough to stop him completely.if he goes too fast or spins out of contro

15、l, he has a stabilization parachute that can be deployed to slow him down. his team hopes its not needed. instead, he plans to deploy his 270-square-foot (25-square-meter) main chute at an altitude of around 5,000 feet (1,524 meters).in order to deploy this chute successfully, he will have to slow to 172 mph (277 kph). he will have a reserve parachute that will open automatically if he loses consci