Conic Tracing: Dynamic Construction of Parabola, Ellipse, and Hyperbola

①This example demonstrates the formation of conic sections (parabola, ellipse, hyperbola) through dynamic point tracing, revealing how geometric elements like equilateral triangles, perpendicular lines, and angles interact with the curves. ②Core mathematical concepts include conic sections, locus, orthogonal lines, angle relationships, and the integration of function graphs with geometric construction. ③Construction highlights: using GeoGebra commands such as Parabola, Point, OrthogonalLine, Intersect, Angle, and Segment, with the ShowTrace feature enabled to visualize the path of moving points (e.g., B, D). Text labels and images are included for annotation. ④Suitable for high school or early college analytic geometry and conic section lessons, as well as dynamic geometry exploration, helping learners understand the connection between curve traces and geometric constraints.