Rectangular Pyramid (Quadrilateral Pyramid) Construction

Rectangular Pyramid (Quadrilateral Pyramid) Construction
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2017-08-27 23:28
① This example demonstrates a rectangular pyramid (a pyramid with a rectangular base) in 3D space, clearly showing the apex, base, lateral faces, and edges. ② Core mathematical concepts include solid geometry: definition of a pyramid, composition of base and lateral faces, vertex-edge topology, and spatial visualization. ③ Construction highlights: using GeoGebra's Pyramid command, define base vertices A, B, C, D and apex E to generate the pyramid; additionally create the rectangular base faceBCDE, four triangular lateral faces faceABC, faceACD, faceADE, faceABE, and all edges edgeBC, edgeCD, edgeDE, edgeBE, edgeAB, edgeAC, edgeAD, edgeAE for detailed inspection. ④ Suitable for middle/high school geometry lessons, introductory solid geometry, and interactive exploration of pyramid properties (volume, surface area, cross-sections) by students or teachers.

GeoGebra Commands & Parameters

  1. Pyramid(B, C, D, E, A) → a, faceBCDE, edgeAB, edgeAC, edgeAD, edgeAE, faceABC, faceACD, faceADE, faceABE, edgeBC, edgeCD, edgeDE, edgeBE