文档介绍：2014年下学期数学实验与数学建模作业****题1)
——学号0908130104 电气1301班李怡祥
用两种方法在同一个坐标下作出y1=x2,y2=x3,y3=x4 y4=x5这四条曲线的图形,并要求用两种方法在图上加各种标注。
答:命令①
x1=0::2;
x2=0::2;
x3=0::2;
x4=0::2;
y1=x1.*x1;
y2=x2.*x2.*x2;
y3=x3.*x3.*x3.*x3;
y4=x4.*x4.*x4.*x4.*x4;
plot(x1,y1,x2,y2,x3,y3,x4,y4)
text(,2,'y=x^{2}');
text(,5,'y=x^{3}');
text(,9,'y=x^{4}');
text(,20,'y=x^{5}');
命令②
x=0::2;
y1=x.*x;
y2=y1.*x;
y3=y2.*x;
y4=y3.*x;
plot(x,y1,'b',x,y2,'g',x,y3,'r',x,y4,'k:')
legend('y=x^{2}','y=x^{3}','y=x^{4}','y=x^{5}')
运行结果①运行结果②
,为每幅图形加上标题
答:命令代码:
x1=linspace(-2*pi,2*pi); y1=exp(-x1.*x1);
q=linspace(0,2*pi); r=sin(2*q);
x=r.*cos(q); y=r.*sin(q);
t=-2*pi::6; x2=3*t./(1+t.*t.*t);
y2=3*t.*t./(1+t.*t.*t);
y3=linspace(0,1);
x3=log((1+sqrt(1-y3.*y3))/y3-(sqrt(1-y3.*y3)));
y4=linspace(0,1);
x4=log((1-sqrt(1-y4.*y4))/y4+(sqrt(1-y4.*y4)));
subplot(2,2,1);
plot(x1,y1)
title('概率曲线y=e^{-x^{2}}');grid;
subplot(2,2,2);
plot(x,y);title('四叶玫瑰线r=sin2q');grid;
subplot(2,2,3);
plot(x2,y2)
title('叶形线');axis([-3 3 -3 3]);grid;
subplot(2,2,4);
plot(x3,y3,x4,y4);title('曳物线');grid;
运行结果
1) ; 2)环面:
 。
答:命令代码
1)x=-2*pi::2*pi; [x,y]=meshgrid(x);
z=sin(pi.*sqrt(x.*x+y.*y));mesh(x,y,z)
2)u=0::2*pi; [u,v]=meshgrid(u);
x=(1+cos(u)).*cos(v); y=(1+cos(u)).*sin(v);
z=sin(v); surf(x,y,z); xlabel('X');ylabel('Y');zl