mathematica 求心形封闭图形的体积心形封闭图形的函数是:(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/80 == 0RegionPlot3D[(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/80 == 0,{x,-1.5,1.5},{y,-1.5,1.5},{z,-1.5,1.5},
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![mathematica 求心形封闭图形的体积心形封闭图形的函数是:(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/80 == 0RegionPlot3D[(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/80 == 0,{x,-1.5,1.5},{y,-1.5,1.5},{z,-1.5,1.5},](/uploads/image/z/9652867-43-7.jpg?t=mathematica+%E6%B1%82%E5%BF%83%E5%BD%A2%E5%B0%81%E9%97%AD%E5%9B%BE%E5%BD%A2%E7%9A%84%E4%BD%93%E7%A7%AF%E5%BF%83%E5%BD%A2%E5%B0%81%E9%97%AD%E5%9B%BE%E5%BD%A2%E7%9A%84%E5%87%BD%E6%95%B0%E6%98%AF%EF%BC%9A%28x%5E2+%2B+%289+y%5E2%29%2F4+%2B+z%5E2+-+1%29%5E3+-+x%5E2+z%5E3+-+%289+y%5E2+z%5E3%29%2F80+%3D%3D+0RegionPlot3D%5B%28x%5E2+%2B+%289+y%5E2%29%2F4+%2B+z%5E2+-+1%29%5E3+-+x%5E2+z%5E3+-+%289+y%5E2+z%5E3%29%2F80+%3D%3D+0%2C%7Bx%2C-1.5%2C1.5%7D%2C%7By%2C-1.5%2C1.5%7D%2C%7Bz%2C-1.5%2C1.5%7D%2C)
mathematica 求心形封闭图形的体积心形封闭图形的函数是:(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/80 == 0RegionPlot3D[(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/80 == 0,{x,-1.5,1.5},{y,-1.5,1.5},{z,-1.5,1.5},
mathematica 求心形封闭图形的体积
心形封闭图形的函数是:(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/
80 == 0
RegionPlot3D[(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/
80 == 0,{x,-1.5,1.5},{y,-1.5,1.5},{z,-1.5,1.5},
PlotPoints -> 30,Axes -> False,Lighting -> False,
ContourStyle -> {RGBColor[1,0.0,0.0]}]
求该封闭图形的体积,尝试了好久.
求大神指点
只有20的财富值.全给了
mathematica 求心形封闭图形的体积心形封闭图形的函数是:(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/80 == 0RegionPlot3D[(x^2 + (9 y^2)/4 + z^2 - 1)^3 - x^2 z^3 - (9 y^2 z^3)/80 == 0,{x,-1.5,1.5},{y,-1.5,1.5},{z,-1.5,1.5},
好像只能求出数值积分,精确解求不出来
NIntegrate[
Boole[(x^2 + (9*y^2)/4 + z^2 - 1)^3 - x^2*z^3 - (9*y^2*z^3)/80 <=
0], {x, -1.3, 1.3}, {y, -1.5, 1.5}, {z, -1.5, 1.5}]
结果 3.3451