2019中央电大数学专业《计算方法(本)》期末复习试题及答案参考.doc

试卷代号：1084 中央广播电视大学2006—2007学年度第二学期“开放本科”期末考试(半开卷) 数学专业 计算方法(本) 试题 一、单项选择题(每小题5分，共15分) 1．近似值0.32560×10-3的误差限为( )． A．1/2 X10-4 B. 1/2 x 10-3 C. 1/2 X 10-2 D. 1/2 x 10-1 A．6 B．5 C．4 D． 3 3．设求非线性方程f(x)＝0根的切线法收敛，则它具有( )敛速． A．平方 B. 三次 C. 超线性 D．线性 二、填空属(每小题5分，共15分) 3．用乘幂法求实方阵A的按模最大的特征值、特征向量的迭代公式为 ，其中初始向量x0为非零向量. 三、计算题(每小题15分，共60分) 1．已知f(x)的函数表 求二次牛顿插值多项式，并计算f(0.5)的近似值 四、证明题(本题10分) 试卷代号：1084 中央广播电视大学2006—2007学年度第二学期“开放本科”期末考试(半开卷) 数学专业 计算方法(本) 试题答案及评分标准 (供参考) 2007年7月 一、单项选择题(每小题5分，共15分) 1．C 2．B 3．A 二，填空题(每小题5分，共15分) 三、计算题(每题15分，共60分) 1．列差商表 得二次牛顿插值多项式N2(x)为 …………………………….12分 ……………………………………………..15分 2．用列主元法解方程组 ……………………………………………………15分 3．解：因为系数矩阵A为严格对角占优矩阵，所以雅可比迭代法收敛． 雅可比迭代公式为： 则预估一校正公式为 四、证明题(本题10分) Visa-free policy brings Chengdu biz, tourism boost. Making national headlines several times, Chengdus 72-hour visa-free policy has attracted wide attention from both Chinese and foreign experts and businessmen since it took effect on Sept 1 last year. The program permits citizens from 51 countries and regions including the United States, Australia, Canada and Japan who have valid visas and flight tickets to a third country to spend three days in the city. The capital of Sichuan province is the first city in the western region of China to offer foreign tourists a three-day visa and the fourth nationwide to adopt the policy following Shanghai, Beijing and Guangzhou. Li Zhiyong, deputy dean of the tourism institute at Sichuan University, said the move contributes to a large increase in the number of overseas tourists and raises the citys level of internationalization. The policy will also bring direct economic revenue, Li said. Chengdu has many cultural legacies and is also a paradise for panda lovers with the worlds largest breeding and research center. Three days are long enough for foreign visitors to visit those iconic tourist spots, he noted. The city is