1、專業好文檔工程數學（本）(09秋模擬試題 2009年12月 一、單項選擇題（每小題3分，本題共15分）1. 設為矩陣，為矩陣，當為（）矩陣時，乘積有意義a. b. c. d. 2. 向量組的極大線性無關組是（ ）a b c d.3. 若線性方程組的增廣矩陣為，則當（）時線性方程組有無窮多解 a1 b4 c2 d4. 擲兩顆均勻的骰子，事件“點數之和為4”的概率是（ ）.a. b. c. d. 5. 在對單正態總體的假設檢驗問題中，檢驗法解決的問題是（ ）a. 已知方差，檢驗均值 b. 未知方差，檢驗均值 c. 已知均值，檢驗方差 d. 未知均值，檢驗方差 二、填空題（每小題3分，共15分）1.

2、 設均為3階矩陣，且，則2.設，則3. 設是三個事件，那么發生，但至少有一個不發生的事件表示為 .4. 設隨機變量，則5. 設是來自正態總體的一個樣本，則 三、計算題（每小題16分，共64分）1已知，其中，求2.求線性方程組的全部解 3. 設，求和.（其中,）4. 某一批零件重量，隨機抽取4個測得重量（單位：千克）為14.7, 15.1, 14.8, 15.2 可否認為這批零件的平均重量為15千克(已知)？ 四、證明題（本題6分）設,為隨機事件，試證： 工程數學（本）（09秋）模擬試題參考答案（供參考）2009年12月一、單項選擇題（每小題3分，本題共15分） 1. b 2. a 3. d 4

3、. c 5. b二、填空題（每小題3分，本題共15分）1. 2. 23. 4. 5. 三、計算題（每小題16分，本題共64分）1. 解：利用初等行變換得即 由矩陣乘法運算得 2.解： 將方程組的增廣矩陣化為階梯形方程組的一般解為（其中為自由未知量） 令=0，得到方程的一個特解. 方程組相應的齊次方程的一般解為 （其中為自由未知量）令=1，得到方程的一個基礎解系. 于是，方程組的全部解為 （其中為任意常數） 3. 解：設 = 4. 解：零假設由于已知，故選取樣本函數經計算得，已知，故接受零假設，即可以認為這批零件的平均重量為15千克. 四、證明題（本題6分）證明：由事件的關系可知而，故由概率的性

4、質可知即 證畢 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.cska general

5、 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 have matc

6、hes 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 and discri

7、mination 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 to be at t

8、he 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.michel plati

9、ni, 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 disappoint

10、ing 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 capsule a

11、ttached, 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 kilometers) and i

12、nto 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 earth bec

13、omes 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 jumps, he i

14、s 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 control, he has

15、 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 consciou