电大计算方法(10)模拟试题小抄参考

1、一、 单项选择题（每小题5分，共15分）1已知，则差商（ ）。a. 1 b. 2 c. 3 d. 42. 求积公式的代数精确度为（ ）。a. 1 b. 2 c. 3 d. 43. 已知，则化a为对角阵的平面旋转变换角（ ）。 a. b. c. d. 二、填空题（每小题5分，共15分）1. 近似值的误差限为 。2. 用梯形公式计算积分 。3求非线性方程根的切线法（牛顿法）迭代公式为 。三、计算题（每小题15分 ，共60分）1. 求矛盾方程组的最小二乘解。2.用紧凑格式解方程组 3用雅可比迭代法解方程组 （1） 证明雅可比法收敛；（2） 写出解方程组的雅可比法迭代公式；（3） 取初始值，求出。4用

2、欧拉法求初值问题，在处的解。四、证明题（本题10分）设， 证明 一、单项选择题（每小题5分，共15分） 1 a. 2. c. 3. b二、填空题（每小题5分，共15分） 1. . 2. . 3. 三、 计算题(每题15分，共60分)1解 由 得法方程组 故该矛盾方程组的最小二乘解为。 2. 解：完成矩阵的三角分解a=lr （2）解方程组 解方程组 所以 3. （1）因为为严格对角占优矩阵，所以雅可比迭代法收敛。 （2）雅可比法迭代公式为： （3）取， 计算得 4. 解 因，由欧拉法公式得 由，计算得 四、证明题（本题10分） 证明 令 ， 则有 所以 winger tuivasa-sheck,

3、 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 australia have n

4、ot 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 player of th

5、e 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 every awa

6、rd 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 league match at

7、 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 behaviour of the

8、ir 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 insults from

9、 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 and limited

10、 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 commercial ai

11、rliners (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 resembling an oly

12、mpic 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 englands jo

13、sh 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, especially on

14、 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 lot less experien