Conic Tangent and Vector Animation

①This example demonstrates a dynamic animation of tangent lines, normals, and related vectors on a conic section (such as a circle), showing how these geometric elements change as a point moves along the curve. ②Core mathematical concepts include conic sections (circle), tangent lines, normals, vector operations, and function graphs, driven by real-number parameters. ③Construction details: Using GeoGebra commands Vector, Circle, Point, Ray, and Intersect, objects A, B, C, u, c, d, D, f, E, v, and button1 are created; a slider or button controls the animation to update tangents and vectors in real time. ④Suitable for high school or early college students to understand tangent properties of conics, vector geometry, and dynamic mathematical visualization, as well as for classroom demonstrations by teachers.