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Surface of a Pyramid

Surface of a Pyramid
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2017-04-21 06:36
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the surface net of a pyramid. Key mathematical concepts include solid geometry, specifically the pyramid and its surface net. The construction uses commands like Pyramid, Net, OrthogonalLine, and Segment in GeoGebra. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Pyramid(A, B, C, D, E) → a, faceABCD, edgeAE, edgeBE, edgeCE, edgeDE, faceABE, faceBCE, faceCDE, faceADE, edgeAB, edgeBC, edgeCD, edgeAD
  2. Net(a, b) → c, F, faceFGJ, faceGHK, faceHIL, faceFIM, edgeFG, edgeGH, edgeHI, edgeFI, edgeFJ, edgeGJ, G, edgeGK, edgeHK, edgeHL, edgeIL, edgeIM, edgeFM, H, I, J, K, L, M, faceFGHI
  3. OrthogonalLine(E, xOyPlane) → f
  4. Segment(C, A) → g
  5. Segment(D, B) → h

AI Drawing Prompt Reference

Draw the net of a pyramid. First, create a pyramid with five vertices A, B, C, D, and E, and their edges. Then, unfold the pyramid into a plane figure, forming a shape with five faces, each representing one side of the pyramid. Finally, draw the edges of the base and sides to show the structure of the pyramid.
The prompt above was compiled from the original drawing commands and is for reference only.