示例代码:
Clear["`*"];
f[x_, y_] := -(x - 1)^2 - (y + 1)^2;
(*找到最大值点*)
maxPoint =
Maximize[{f[x, y], -10 <= x <= 10 && -10 <= y <= 10 &&
x^2 + y^2 {{{maxPoint[[2, 1, 2]], Blue}}, {{maxPoint[[2, 2, 2]],
Black}}},
RegionFunction ->
Function[{x, y, z}, x^2 + y^2 Opacity[4/5],
Mesh -> None];
Y2 = ListPointPlot3D[{{maxPoint[[2, 1, 2]], maxPoint[[2, 2, 2]],
maxPoint[[1]]}}, PlotStyle -> {{PointSize[Large], Red}}];
Show[Y1, Y2]
结果图如下: