Triangle Inscribed in a Cone: 3D Geometric Construction

① This example demonstrates how to construct a triangle inscribed inside a three-dimensional cone, illustrating the spatial relationship between a planar polygon and a curved surface. ② Core mathematical concepts include cone geometry, spatial point positioning, intersection of planes and surfaces, and polygon construction in 3D space. ③ Construction steps: use the Intersect command to find intersection points between the cone and auxiliary planes, Point to define vertices, Cone to create the solid, and Polygon to connect vertices into a triangle; key objects include points A, B, C, D and auxiliary lines/surfaces a, b, c, d. ④ Suitable for high school or early college students learning solid geometry, enhancing spatial visualization, and for math lab activities exploring dynamic 3D constructions.