Polygons 6: Geometric Mean, Functions, and Conditional Probability Exploration

①This GeoGebra example presents a comprehensive mathematical scene combining polygons, a parabola, random experiments, and conditional probability, demonstrating interactions among multiple geometric and probabilistic objects. ②Core concepts include polygon properties, geometric mean, function graphs (especially parabolas), random experiments, and conditional probability, integrating algebra, geometry, and statistics. ③Construction highlights: using Polygon command to create poly1, along with Segment, Point, Intersect, and Angle commands to define points A, B, C, D, etc., and segments f through e, plus function objects and random experiment elements, forming an interactive environment. ④Suitable for high school and above, ideal for integrated math lessons, cross-disciplinary projects, or teacher demonstrations to help students grasp connections between geometry and probability and enhance dynamic modeling skills.