Problem 1: Cross Sections

① This example demonstrates how a plane intersects a solid in 3D space, generating and visualizing the resulting cross-section shape dynamically. ② Core mathematical concepts include solid geometry, cross-sections, geometric transformations of planes and solids, congruence, and an introduction to optimization problems. ③ Construction highlights: based on the construction summary, it uses GeoGebra commands such as If and IntersectPath, involving objects like function f, point A, plane p, equation eq1, auxiliary objects b, a, t, g, and text1, to dynamically control the section and display geometric relationships. ④ Suitable for high school or early college solid geometry teaching, as well as math labs or inquiry activities, helping students intuitively understand cross-sections and enhance spatial reasoning.