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曲顶柱体

2009-04-17 22:48:47| 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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所有图形见：数学图形目录

同济大学《高等数学》第五版（下册）96页，9题

由平面 x=0、y=0、z=0、x+y=1 和抛物面 z=6-x^2-y^2 所围成的曲顶柱体：

以上图形的Maple程序：090417a

with(plots):
pingmian1:=plot3d([x,y,0],x=0..1,y=0..1-x):
pingmian2:=plot3d([0,y,z],y=0..1,z=0..6-y^2):
pingmian3:=plot3d([x,0,z],x=0..1,z=0..6-x^2):

pingmian4:=plot3d([x,1-x,z],x=0..1,z=0..6-x^2-(1-x)^2):
qumian:=plot3d([x,y,6-x^2-y^2],x=0..1,y=0..1-x,color=red):
display(pingmian1,pingmian2,pingmian3,pingmian4,qumian,scaling=unconstrained,axes=normal,tickmarks=[0,0,0]);

with (plots):
pingmian1:=plot3d([x,y,0],x=0..1,y=0..1-x):
pingmian2:=plot3d([0,y,z],y=0..1,z=0..6-y^2):
pingmian3:=plot3d([x,0,z],x=0..1,z=0..6-x^2):
pingmian4:=plot3d([x,1-x,z],x=0..1,z=0..6-x^2-(1-x)^2):
qumian:=plot3d([x,y,6-x^2-y^2],x=0..1,y=0..1-x,color=red):
qumian2:=plot3d([x,y,6-x^2-y^2],x=-sqrt(6)..sqrt(6),y=-sqrt(6-x^2)..sqrt(6-x^2),style=wireframe):
display(pingmian1,pingmian2,pingmian3,pingmian4,qumian,qumian2,scaling=unconstrained,axes=normal,tickmarks=[0,0,0]);

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