两个圆柱面 x^2+y^2=R^2 和 x^2+z^2=R^2 垂直相交,交线方程是:
with(plots):R:=1:
zhumian1:=plot3d([R*cos(t),R*sin(t),z],z=-R..R,t=0..2*Pi,color=yellow):
zhumian2:=plot3d([R*cos(t),y,R*sin(t)],y=-R..R,t=0..2*Pi,color=green):
quxian1:=spacecurve([R*cos(t),R*sin(t),R*sin(t)],t=0..2*Pi,color=red,thickness=4):
quxian2:=spacecurve([R*cos(t),R*sin(t),-R*sin(t)],t=0..2*Pi,color=blue,thickness=4):
display(zhumian1,zhumian2,quxian1,quxian2,scaling=constrained,orientation=[40,65]);
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