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两个椭圆柱面的交线及所围立体

2013-04-27 10:04:21| 分类：高等数学图形动画 | 标签： |举报 |字号大中小订阅

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with(plots):

zhumian1:=plot3d([sqrt(3)*cos(t),sqrt(2)*sin(t),z],t=0..2*Pi,z=-2..2,color=yellow): 黄色柱面

zhumian2:=plot3d([x,sqrt(2)*cos(t),(2/sqrt(5))*sin(t)],t=0..2*Pi,x=-3..3,color=green): 绿色柱面

quxian1:=spacecurve([sqrt(3)*cos(t),sqrt(2)*sin(t),(2/sqrt(5))*cos(t)],t=0..2*Pi,color=red,thickness=5):
红色交线

quxian2:=spacecurve([sqrt(3)*cos(t),sqrt(2)*sin(t),-(2/sqrt(5))*cos(t)],t=0..2*Pi,color=blue,thickness=5):
蓝色交线

x_axis:=plot3d([u,0,0],u=-3..3,v=0..0.01,thickness=3): x轴

y_axis:=plot3d([0,u,0],u=-3..3,v=0..0.01,thickness=3): y轴

z_axis:=plot3d([0,0,u],u=-2..2,v=0..0.01,thickness=3): z轴

xyz:=display(x_axis,y_axis,z_axis,thickness=3):

display(zhumian1,zhumian2,quxian1,quxian2,xyz,scaling=constrained,orientation=[40,60]);

with(plots):

zhumian1:=plot3d([sqrt(3)*cos(t),sqrt(2)*sin(t),z],t=0..2*Pi,z=-(2/sqrt(5))*cos(t)..(2/sqrt(5))*cos(t),color=yellow): 黄色柱面

zhumian2:=plot3d([x,sqrt(2)*cos(t),(2/sqrt(5))*sin(t)],t=0..2*Pi,x=-sqrt(3)*sin(t)..sqrt(3)*sin(t),color=green): 绿色柱面

quxian1:=spacecurve([sqrt(3)*cos(t),sqrt(2)*sin(t),(2/sqrt(5))*cos(t)],t=0..2*Pi,color=red,thickness=5):
红色交线

quxian2:=spacecurve([sqrt(3)*cos(t),sqrt(2)*sin(t),-(2/sqrt(5))*cos(t)],t=0..2*Pi,color=blue,thickness=5):
蓝色交线

x_axis:=plot3d([u,0,0],u=-2.2..2.2,v=0..0.01,thickness=3): x轴

y_axis:=plot3d([0,u,0],u=-2.2..2.2,v=0..0.01,thickness=3): y轴

z_axis:=plot3d([0,0,u],u=-1.2..1.2,v=0..0.01,thickness=3): z轴

xyz:=display(x_axis,y_axis,z_axis,thickness=3):

display(zhumian1,zhumian2,quxian1,quxian2,xyz,scaling=constrained,orientation=[35,77]);

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