B12: Binomial Distribution Meets Secant Lines and Locus Geometry

① This GeoGebra example dynamically demonstrates a geometric construction involving rays, points, segments, and secant lines within a binomial distribution context, revealing the interplay between probability and geometry. ② Core mathematical concepts include binomial distribution, secant lines, midpoints, locus curves, and introductory fractal geometry, along with geometric representations of means. ③ Construction highlights: using GeoGebra commands Ray, Point, Segment, Line, Intersect, Midpoint, Locus, and LocusEquation, with objects A, B, a, C, D, b, E, c, F, G, loc1, and d, the construction builds secants via intersections and midpoints, then generates locus curves and their equations for dynamic exploration. ④ Suitable for high school to undergraduate students studying probability and analytic geometry, useful for teachers demonstrating connections between binomial distributions and geometric loci, or as an entry point to fractal geometry.