Exploring Cross-Sections of a Cube Along a Space Diagonal

① This example demonstrates how a dynamic plane cuts a cube along its space diagonal, showing the resulting cross-section shape and area in real time. ② Core mathematical concepts include solid geometry, cross-sections, space diagonals, plane-polyhedron intersections, rotation, distance, and area calculation. ③ Construction highlights: the Cube command creates the cube, Rotate orients the cutting plane, IntersectPath generates the section polygon, while Distance, PointIn, and Vector assist in measurement and positioning; objects include cube vertices, rotation axes, section boundaries, and multiple area values. ④ Suitable for high school or early college students, it provides an intuitive way to understand how a plane intersects a solid, and can be used to investigate how the section area varies with plane position, linking to calculus ideas of optimization.