Parabola and Ellipse: Intersection of a Cone and a Plane

① This example demonstrates how a parabola and an ellipse arise as the intersection curves of a cone with a plane in 3D space. ② Core mathematical concepts include conic sections (parabola, ellipse), spatial geometry, and the properties of plane-cone intersections. ③ Construction highlights: using GeoGebra's Cone command to create a cone, and IntersectPath to compute the intersection path between the cone and a plane; objects such as points A, B, curves e, f, and text labels text1, text2 are generated, allowing dynamic adjustment of the plane to observe the transition from an ellipse to a parabola. ④ Suitable for high school or early college courses in analytic geometry and solid geometry, as well as math lab activities to visualize the unified geometric definition of conic sections.