专业好文档计算方法模拟试题及参考答案模拟试题一、 单项选择题（每小题3分，共15分）1近似值，则的误差限为（ ）。A B. C D. .2. 求积公式的代数精确度为（ ）。A. 1 B. 2C. 3 D. 43.已知，则化为A为对角阵的平面旋转变换角（ ）。 A. B. C. D. 4.设求方程的根的切线法收敛，则它具有（ ）敛速。 A. 线性 B. 超线性 C. 平方 D 三次5.欧拉法的局部截断误差阶为（ ）。A. B. C. D. 二、填空题（每小题3分，共15分） 1近似值的有效数位为 。2. 已知，则差商 。3用辛卜生公式计算积分 。4逆幂法是求实方阵 的特征值与特征向量的反迭代法。5 计算的切线法迭代公式为 。三、计算题（每小题12分 ，共60分）1 已知 ， 用抛物插值求的近似值，并估计误差。2用列主元消元法解方程组 3. 用高斯塞德尔迭代法解方程组（1） 证明高斯塞德尔迭代法收敛；（2） 写出高斯塞德尔法迭代公式；（3） 取初始值，求出。4用双点弦法求方程 的最小正根。（1） 确定含根区间，（2） 检验收敛条件；（3） 写出切线法迭代公式，计算出。5.用予估-校正法求初值问题 在处的解。四、证明题（本题共10分，每小题5分）1 设为内插求积公式系数 证明 。 2 设， 证明 。参考答案一、单项选择题（每小题3分，共15分） 1C 2. C. . 3. A 4. C. 5. B二、填空题（每小题3分，共15分） 1. 4位. 2. 3 . 3. 4. 按模最小 5. 三、 计算题(每题12分，共60分)一阶差商二阶差商1142951作差商表： 因为 所以， 2. 用列主元法解方程组 回代解得 3（1）因为为严格对角占优矩阵，所以高斯-塞德尔迭代法收敛。 （2）高斯-塞德尔法迭代公式为： （3）取初值，计算得 4.解（1） 由于 所以 （2） （3）双点弦法迭代公式为： （4）取，计算得 12分 5解 因，予估-校正公式得 6分 再由，计算得 12分 四、证明题（每小题5分，共10分）1.证明 设 ，因为 所以 。 2. 证明 令 ，则有 所以 Winger Tuivasa-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 Australia 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 player 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 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 League 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 behaviour 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 insults 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 and 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 hig