成都信息工程学院微积分实验7.doc

1.1
>> syms t
>> x=t-sin(t);
>> y=1-cos(t);
>> z=4*sin(t/2);
>> figure(1)
>> ezplot3(x,y,z)

1.2
>> syms t
>> x=3*cos(t);
>> y=3*sin(t);
>> z=3*log(cos(t));
>> figure(1)
>> ezplot3(x,y,z)

2.1
>> t=[-2*pi:pi/30:2*pi]';
>> x=[3*t.*cos(t)];
>> y=[3*t.*sin(t)];
>> z=[4*t];
>> figure(1)
>> plot3(x,y,z)

2.2
>> t=[0:pi/30:pi/2]';
>> x=[(4+sin(20*t)).*sin(t)];
>> y=[(4+sin(20*t)).*cos(t)];
>> z=[cos(20*t)];
>> figure(1)
>> plot3(x,y,z)

3
>> syms u v
>> k=v/(2*pi);
>> x=(1-k)*cos(v)*(1+cos(u))+cos(v);
>> y=(1-k)*sin(v)*(1+cos(u))+sin(v);
>> z=k+(1-k)*sin(v);
>> figure(1)
>> ezsurf(x,y,z)