Problem 395 #6: Pyramid and Polynomial Function Construction

This example demonstrates a composite figure combining a pyramid (solid geometry) with polynomial function graphs, constructed using planar geometric tools to create a symmetric spatial structure. Core mathematical concepts include the relationship between the apex and base of a pyramid, intersections of lines and circles, angle bisectors, perpendicular lines, and the graphical features of polynomial functions. Construction highlights: using GeoGebra commands such as Polygon to create the base polygon poly1, AngularBisector for angle bisectors, Intersect to find intersection points, OrthogonalLine for perpendiculars, and Circle for auxiliary circles, resulting in points A, B, C, D, E and lines a, b, c, d, f, g, h, i that form the pyramid's edges and cross-sections. Suitable for high school or early college students to understand the integration of solid geometry and function graphs, and useful for math lab activities or competition training, providing an intuitive view of the interaction between spatial shapes and algebraic curves.