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1、%%圆环面R=6;r=2;symsuv;ezmesh((R+r*cos(u))*cos(v),(R+r*cos(u))*sin(v),r*sin(u));axisequal;%%圆盘R=6;r=2;theta=linspace(0,2*pi,90);ph=linspace(r,R,30);[t,p]=meshgrid(theta,ph);r=t*0;[x,y,z]=pol2cart(t,p,r);mesh(x,y,z);axisequal;%%a.画椭球 a=1;b=2;c=3; figure(1),title('椭球') ellipsoid(0,0,0,a,b,
2、c) % shadinginterp boxon; gridoff colormaphsv %%b.单叶双曲面 [x,y]=meshgrid(-2:0.2:2,-2:0.2:2); z=sqrt(c.^2*(x.^2/(a.^2)+y.^2/(b.^2)-1)); % figure(2) subplot(121),title('单叶双曲面') surf(x,y,real(z)) holdon; surf(x,y,-real(z)) % [u,v]=meshgrid(linspace(0,2*pi,50),linspace(-1*pi/2,pi/2,50)); x=
3、a.*sec(v).*cos(u); y=a.*sec(v).*sin(u); z=c.*tan(v); subplot(122),title('单叶双曲面') surf(x,y,z) % shadinginterp boxon; gridoff colormaphsv %%c.双叶双曲面 [x,y]=meshgrid(-2:0.2:2,-2:0.2:2); z=sqrt(c.^2*(x.^2/(a.^2)-y.^2/(b.^2)-1)); % figure(3) subplot(121),title('双叶双曲面') surf(x,y,real(z)) hold
4、on; surf(x,y,-real(z)) % [u,v]=meshgrid(linspace(0,2*pi,50),linspace(-1*pi/2,3*pi/2,50)); x=a.*tan(v).*cos(u); y=a.*tan(v).*sin(u); z=c.*sec(v); subplot(122),title('单叶双曲面') mesh(x,y,z) % shadinginterp boxon; gridoff colormaphsv %%d.椭圆抛物面 [x,y]=meshgrid(-2:0.2:2,-2:0.2:2); z=(x.^2/(a.^
5、2)+y.^2/(b.^2))./2; % figure(4),title('椭圆抛物面') surf(x,y,z) % colormapgray %%e.马鞍面 [x,y]=meshgrid(-2:0.2:2,-2:0.2:2); z=(x.^2/(a.^2)-2.*y.^2/(b.^2)); % figure(5),title('马鞍面') surf(x,y,z) % shadinginterp boxon; gridoff colormaphsv %%f.圆环面 r=2; R=4; [u,v]=meshgrid(linspace(0,2*pi,50),l
6、inspace(0,2*pi,50)); x=(R+r.*cos(v)).*cos(u); y=(R-r.*cos(v)).*sin(u); z=r.*sin(v); % figure(6) subplot(131),title('圆环面1') surf(x,y,z) % symsuv subplot(132),title('圆环面2') ezmesh('(4+2*cos(v))*cos(u)','(4-2*cos(v))*sin(u)',... '2*sin(v)',[0,2*pi,0,2*pi]) subplot(133),title('圆环面3') ez
7、surf('(4+2*cos(v))*cos(u)','(4-2*cos(v))*sin(u)',... '2*sin(v)',[0,2*pi,0,2*pi]) % shadinginterp boxon; gridoff colormaphsv %%g.螺旋面 u=linspace(0,2*pi); v=linspace(0,6*pi); [U,V]=meshgrid(u,v); x=(4+sin(20*U)).*cos(V); y=(4+sin(20*U)).*sin(V); z=2*V; figure(7),title('螺旋面') mesh(x,y,z
8、) axi