Surface A Construction

This example demonstrates the geometric construction of Surface A, involving concepts like standard deviation, special points, scalene triangles, straight lines, and piecewise functions. Key math concepts include coordinate geometry, solid geometry, geometric construction, and graphing functions. GeoGebra commands used are Segment, Point, Distance, Polygon, Intersect, Midpoint, with objects like α, B, b, C, H_1, F, E, f, N_1, h, BN, hyp, NB, A, NC, G, D, poly1, a, b_1, e, d, H, poly2, g, c, f_1, h_1, N_2, I, J, poly3, c_1, i, b_2, poly4, e_1, j, f_2, poly5. Suitable for high school and above students studying solid geometry, coordinate geometry, and geometric constructions.