MATLAB课后习题,罗建军编.doc
第一章1. 在自己的计算机上安装MATLAB系统，调试运算所有例题，熟悉MATLAB集成视窗环境的使用方法。2. 设A=1.2，B=-4.6，C=8.0，D=3.5，E=-4.0计算:3. 设x=,计算：4. 设a=5.67,b=7.811,计算：5. 计算时的值。6. 已知圆的半径为15，求其直径，周长及面积。7. 已知某三角形的三个边的边长分别为8.15,14.6和18.4，求该三角形的面积。提示其中：s=(a+b+c)/2,a、b、c分别为三角形三边长。第二章1. 设矩阵A= B=求 （1）2A+B (2) (3)AB (4)BA (5)AB-BA2. 设三阶矩阵A,B满足A-1BA=6A+BA,其中：A=求矩阵B。3. 设(2E-C-1B)AT=C-1，其中E是四阶单位矩阵，AT是A的转置。其中：B= C=求矩阵A 。4. 设二阶矩阵A、B、X，满足X-2A=B-X，其中：A= B=求矩阵X。5. 求解线性方程组6. 求解一元六次方程的根。7. 求多项式被除后的结果第三章1. 求极限2. 求极限3. 求极限4. 求极限5. 已知求6. 已知求7. 求积分8. 求积分9. 求下列微积分方程的通解10.求解微分方程 第四章 1，已知向量1，2，4,0,5,10,11,21,3,1，请绘图表示。 2，绘制单位圆。提示：使用axis(square)命令保证图形的纵横坐标刻度比例相同。 3，绘制伏安特性曲线：U=RI,假使R分别为1,5,10和20. 4,，某地区一年中每月的平均气温和平均降雨量如下表45所示，请画出其图形，要求标注出坐标轴,数据点位置，数据点大小等。 月份 温度 降雨量10.24.622.33.638.72.1418.52.9524.63.0632.12.7736.82.2837.12.5928.34.31017.83.4116.42.112-3.23.7 5，已知矩阵 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1请绘图表示。 6，绘制z=x2+y2的三维立体图。 7，绘制由函数x2/4+y2/9+z2/16=1形成的立体图，并通过改变观察点来获得该图形在各个坐标平面上的平面投影。第五章1、 使用命令文件，画出下列分段函数所表示的曲线。 y = 2、 计算上述分段函数的值，要求能够根据用户对x值的不同输入，程序给出相对应的结果。3、 编程求 ，其中 。提示：结束条件可用，其中u为通项公式，e为满足所求精度的极小值。 4、 求解鸡兔同笼问题：鸡和兔子关在一个笼子里，已知共有头36个，脚100个，求笼里关了鸡兔各几只。5、 求2999之间中同时满足下列条件的自然数。 （1）该数各位数字之和为奇数 （2）该数是素数6、 编写一个判断任意输入的正整数是否为素数的函数文件。7、 编写阶乘函数，并调用该函数生成一个1！，. ，10！的阶乘表，如下列所示： 1 1 2 2 3 6 4 24 5 120 6 720 7 5040 8 40320 9 362880 10 3628800第六章1、 利用Scope（示波器）观察Source（信号源）的各种信号并画出波形。2、 运行并观察MATLAB系统提供的sldemo_housecheat_script（房屋供热系统）仿真演示程序。3、 利用Simulink仿真两个正弦信号相乘，即计算。4、 设计一个模拟人口变化情况的模型。 根据人口学理论，若用p（n）表示某一年的人口数目，其中n表示年份，则它与上一年的人口p（n-1）、人口繁殖速率r以及新增资源所满足的个体数目K之间的动力学方程将由如下的差分方程描述： 从上面的差分方程可以看出，这个人口变化系统为一个非线性离散系统。现在如果假设人口初始值为P（0）为10000人，人口繁殖率r为1.1，新增资源所能满足的个体数目K=1 000 000，请建立该人口动态变化系统的模型，并对0200年之间的人口变化趋势进行仿真。Acknowledgements My deepest gratitude goes first and foremost to Professor aaa , my supervisor, for her constant encouragement and guidance. She has walked me through all the stages of the writing of this thesis. Without her consistent and illuminating instruction, this thesis could not havereached its present form. Second, I would like to express my heartfelt gratitude to Professor aaa, who led me into the world of translation. I am also greatly indebted to the professors and teachers at the Department of English: Professor dddd, Professor ssss, who have instructed and helped me a lot in the past two years. Last my thanks would go to my beloved family for their loving considerations and great confidence in me all through these years. I also owe my sincere gratitude to my friends and my fellow classmates who gave me their help and time in listening to me and helping me work out my problems during the difficult course of the thesis. My deepest gratitude goes first and foremost to Professor aaa , my supervisor, for her constant encouragement and guidance. She has walked me through all the stages of the writing of this thesis. Without her consistent and illuminating instruction, this thesis could not havereached its present form. Second, I would like to express my heartfelt gratitude to Professor aaa, who led me into the world of translation. I am also greatly indebted to the professors and teachers at the Department of English: Professor dddd, Professor ssss, who have instructed and helped me a lot in the past two years. Last my thanks would go to my beloved family for their loving considerations and great confidence in me all through these years. I also owe my sincere gratitude to my friends and my fellow classmates who gave me their help and time in listening to me and helping me work out my problems during the difficult course of the thesis.
