Dynamic Construction and Transformation of a Quadrilateral Pyramid

① This example demonstrates a quadrilateral pyramid (a pyramid with a quadrilateral base) as a 3D solid geometry model, allowing real-time changes to its shape and position via sliders and draggable points. ② Core mathematical concepts include solid geometry of pyramids, quadrilateral bases, right triangles (used for calculating height or slant height), and transformations such as rotation and reflection to observe different views of the pyramid. ③ Construction highlights: using GeoGebra commands Polygon to create the base quadrilateral, Midpoint to locate midpoints, Line to construct auxiliary lines, Rotate to perform rotations, If for conditional display, and Pyramid to generate the solid; key objects include ShapeBase (base), ShapePt1-4 (vertex control points), RotateAxis (rotation axis), ShapeBaseR (rotated base), and multiple text display controls (TextShowChi, etc.) for showing values or names. ④ Suitable for high school or early college students learning solid geometry, this interactive model helps visualize pyramid properties, spatial transformations, and parametric dynamic demonstrations, and serves as a reference for teachers creating interactive geometry lessons.