Cone and Single Plane Intersection

① This example demonstrates the intersection curve between a cone and a single plane in 3D space, typically producing conic sections such as an ellipse, parabola, or hyperbola, and visualizes the resulting curve's position. ② Core mathematical concepts include solid geometry (cone surface), intersection of a plane and a curved surface, classification of conic sections (quadratic curves), and representation of 3D vectors, points, and planes. ③ Construction details: Based on the construction summary, GeoGebra commands such as Intersect, Point, Cone, PointIn, Plane, IntersectPath, and Corner are used, along with multiple points (A, B, C, D, E, etc.) and objects (a, b, c, d, e, etc.) to define the cone, plane, and intersection path. ④ Suitable for high school or early college students learning solid geometry and analytic geometry, and for teachers to demonstrate the dynamic generation of conic sections by cutting a cone with a plane, helping students understand the geometric nature of conic sections.