如何画出曲面的边界?

如题所述

图2 细边界曲线:图3 粗边界曲线:图4 规定边界曲线的粗细:以下四行分别是以上四个图形的Mathematica命令: Plot3D[Sin[x+y^2],{x,-3,3},{y,-2,2},Mesh->0] (无边界曲线)Plot3D[Sin[x+y^2],{x,-3,3},{y,-2,2},Mesh->0,BoundaryStyle->Directive[Red,Thin]] (细边界曲线)Plot3D[Sin[x+y^2],{x,-3,3},{y,-2,2},Mesh->0,BoundaryStyle->Directive[Red,Thick] ] (粗边界曲线)Plot3D[Sin[x+y^2],{x,-3,3},{y,-2,2},Mesh->0,BoundaryStyle->Directive[Blue,Thickness[0.01]]] (规定边界曲线的粗细)其他带边界曲线的曲面举例例1 莫比乌斯带ParametricPlot3D[{(1+v/2*Cos[1/2*u])*Cos[u],(1+v/2*Cos[1/2*u])*Sin[u],v/2*Sin[u/2]},{v,-1,1},{u,0,2Pi},Boxed->False,Axes->None,Mesh->{3,1},MeshShading->{{Green,Yellow}},BoundaryStyle->Directive[Red,AbsoluteThickness[4]] (利用BoundaryStyle画出曲面的边界) 例2 两张抛物面的交线Plot3D[{x^2+2y^2,3-2x^2-y^2},{x,-1,1},{y,-1,1},PlotStyle->{{Opacity[0.8],Pink},{Opacity[0.6],Yellow}},RegionFunction->Function[{x,y,z},x^2+y^2{1,1,2},Boxed->False,Axes->None,Mesh->0,BoundaryStyle->Directive[Blue,AbsoluteThickness[4]]] (利用BoundaryStyle画出曲面的交线)
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