電大計算方法模擬試題及參考答案小抄參考

1、計算方法模擬試題及參考答案模擬試題一、 單項選擇題（每小題3分，共15分）1近似值，則的誤差限為（ ）。a b. c d. .2. 求積公式的代數精確度為（ ）。a. 1 b. 2c. 3 d. 43.已知，則化為a為對角陣的平面旋轉變換角（ ）。 a. b. c. d. 4.設求方程的根的切線法收斂，則它具有（ ）斂速。 a. 線性 b. 超線性 c. 平方 d 三次5.歐拉法的局部截斷誤差階為（ ）。a. b. c. d. 二、填空題（每小題3分，共15分） 1近似值的有效數位為 。2. 已知，則差商 。3用辛卜生公式計算積分 。4逆冪法是求實方陣 的特征值與特征向量的反迭代法。5 計算的

2、切線法迭代公式為 。三、計算題（每小題12分 ，共60分）1 已知 ， 用拋物插值求的近似值，并估計誤差。2用列主元消元法解方程組 3. 用高斯塞德爾迭代法解方程組（1） 證明高斯塞德爾迭代法收斂；（2） 寫出高斯塞德爾法迭代公式；（3） 取初始值，求出。4用雙點弦法求方程 的最小正根。（1） 確定含根區(qū)間，（2） 檢驗收斂條件；（3） 寫出切線法迭代公式，計算出。5.用予估-校正法求初值問題 在處的解。四、證明題（本題共10分，每小題5分）1 設為內插求積公式系數 證明 。 2 設， 證明 。參考答案一、單項選擇題（每小題3分，共15分） 1c 2. c. . 3. a 4. c. 5. b

3、二、填空題（每小題3分，共15分） 1. 4位. 2. 3 . 3. 4. 按模最小 5. 三、 計算題(每題12分，共60分)一階差商二階差商1142951作差商表： 因為 所以， 2. 用列主元法解方程組 回代解得 3（1）因為為嚴格對角占優(yōu)矩陣，所以高斯-塞德爾迭代法收斂。 （2）高斯-塞德爾法迭代公式為： （3）取初值，計算得 4.解（1） 由于 所以 （2） （3）雙點弦法迭代公式為： （4）取，計算得 12分 5解 因，予估-校正公式得 6分 再由，計算得 12分 四、證明題（每小題5分，共10分）1.證明 設 ，因為 所以 。 2. 證明 令 ，則有 所以 winger tuiv

4、asa-sheck, who scored two tries in the kiwis 20-18 semi-final win over england, has been passed fit after a lower-leg injury, while slater has been named at full-back but is still recovering from a knee injury aggravated against usa.both sides boast 100% records heading into the encounter but austra

5、lia have not conceded a try since josh charnleys effort in their first pool match against england on the opening day.aussie winger jarryd hayne is the competitions top try scorer with nine, closely followed by tuivasa-sheck with eight.but it is recently named rugby league international federation pl

6、ayer of the year sonny bill williams who has attracted the most interest in the tournament so far.the kiwi - with a tournament high 17 offloads - has the chance of becoming the first player to win the world cup in both rugby league and rugby union after triumphing with the all blacks in 2011.id give

7、 every award back in a heartbeat just to get across the line this weekend, said williams.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 leagu

8、e match at chelsea on sunday.i am going to 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 behavi

9、our of their fans duringcitys 2-1 win.michel 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 in

10、sults from fans of cska. baumgartner the disappointing 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 a

11、nd limited cloud cover. the balloon, with 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 com

12、mercial airliners (5.6 miles/9.17 kilometers) 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 resembl

13、ing an olympic diving platform.they blew it in 2008 when they got caught cold in the final and they will not make the same mistake against the kiwis in manchester.five years ago they cruised through to the final and so far history has repeated itself here - the last try they conceded was scored by e

14、nglands josh charnley in the opening game of the tournament.that could be classed as a weakness, a team under-cooked - but i have been impressed by the kangaroos focus in their games since then.they have been concentrating on the sort of stuff that wins you tough, even contests - strong defence, esp

15、ecially on their own goal-line, completing sets and a good kick-chase. theyve been great at all the unglamorous stuff that often goes unnoticed in the stands but not by your team-mates.it is as though their entire tournament has been preparation for the final.in johnathan thurston, cooper cronk, cameron smith and either billy slater or greg inglis at full-back they have a spine that is unmatched in rugby league. they have played in so many high-pressure games - a priceless asset going into saturday.the kiwis are a lo