Construction of a Double-Napped Cone: Visualizing Conic Sections

① This GeoGebra example dynamically constructs a double-napped cone to illustrate how conic sections (circle, ellipse, parabola, hyperbola) arise as intersections of a plane with the cone's surface. ② Core mathematical concepts include conic sections, solid geometry of cones, cross-sections, similarity transformations, and tangent lines. ③ Construction details: uses the Segment command to create generating lines (edges) of the cone, the Surface command to render the cone's surface, and objects such as A, B, C, D, f, g, and Spin to control the cone's shape and orientation, enabling exploration of different cutting planes. ④ Suitable for high school or early college students studying solid geometry and analytic geometry, serving as a visual aid for understanding the transition from 3D shapes to 2D curves and the classification of conic sections.