Parabola Construction: A Geometric Locus Demonstration

① This GeoGebra example demonstrates the construction of a parabola through geometric tools, ultimately generating a standard parabolic locus. ② The core mathematical concept is the definition of a parabola (set of points equidistant from a fixed point and a fixed line) combined with the idea of locus, involving basic elements like lines, perpendiculars, and perpendicular bisectors. ③ Construction steps: use Line to create lines, Point to mark points A, B, C, OrthogonalLine for perpendiculars, LineBisector for perpendicular bisectors, Intersect to find intersections, and finally Locus to generate the trajectory loc1, with objects including points D, E and lines a, b, c. ④ Suitable for middle and high school students learning analytic geometry and conic sections, also useful as a visual teaching aid for geometric construction and understanding how loci arise from geometric constraints.