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WS6 Pyramid Model

WS6 Pyramid Model
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2019-03-27 19:43
TrigonometrySolid GeometryGeometric Construction
This example demonstrates the 3D structure and net of a pyramid, involving core mathematical concepts like median lines, step functions, rhombuses, standard deviation, and trigonometric functions. It is constructed using commands and objects such as segments, points, pyramids, nets, angles, and polygons. Suitable for high school solid geometry education to understand the construction and properties of spatial geometric bodies.

GeoGebra Commands & Parameters

  1. Segment(F, E) → f
  2. Segment(F, C) → g
  3. Segment(C, D) → h
  4. Segment(D, E) → i
  5. Point(zAxis) → B
  6. Pyramid(C, D, E, F, B) → a, faceABCD, edgeCF, edgeDF, edgeAF, edgeBF, faceCDF, faceADF, faceABF, faceBCF, edgeCD, edgeAD, edgeAB, edgeBC
  7. Segment(F, A) → j
  8. Segment(A, C) → k
  9. Segment(A, D) → l
  10. Segment(A, E) → m
  11. Net(a, b) → c, G, faceGHK, faceHIL, faceIJM, faceGJN, edgeGH, edgeHI, edgeIJ, edgeGJ, edgeGK, edgeHK, H, edgeHL, edgeIL, edgeIM, edgeJM, edgeJN, edgeGN, I, J, K, L, M, N, faceGHIJ
  12. Segment(A, B) → n
  13. Angle(B, A, E) → α
  14. Polygon(E, B, A) → t1, a_1, e_1, b_1

AI Drawing Prompt Reference

Draw a 3D pyramid structure and its net, illustrating core mathematical concepts like median lines, step functions, rhombuses, standard deviation, and trigonometric functions. Start by constructing the base and sides of the pyramid, then connect the apex to the center of the base. Next, unfold the pyramid's sides to form a net consisting of rhombuses and triangles, labeling key angles and segments.
The prompt above was compiled from the original drawing commands and is for reference only.