Parabola Locus: Geometric Construction of Focus and Directrix

This GeoGebra example dynamically demonstrates the locus of a parabola, illustrating the fundamental definition: the set of points equidistant from a fixed point (focus) and a fixed line (directrix). Core mathematical concepts include conic sections, focus, directrix, locus, and reflection properties. The construction uses GeoGebra commands such as Circle, Intersect, and Locus to build the focus, directrix, and moving points satisfying the distance condition, thereby generating the parabolic curve. This resource is suitable for middle or high school students learning analytic geometry or conic sections, helping them grasp the geometric essence of a parabola and explore how the locus changes when parameters are adjusted.