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Square Based Pyramid

Square Based Pyramid
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2018-12-04 00:29
PolygonSolid GeometryGeometric Construction
This example demonstrates a square-based pyramid. Key mathematical concepts include solid geometry, square, and related geometric constructions. Using GeoGebra commands such as Point, Pyramid, Intersect, and Distance, the faces and edges of the pyramid can be constructed. Suitable for middle school and above students to learn solid geometry.

GeoGebra Commands & Parameters

  1. Point(zAxis) → E
  2. Pyramid(A, B, C, D, E) → a, faceABCD, edgeAE, edgeBE, edgeCE, edgeDE, faceABE, faceBCE, faceCDE, faceADE, edgeAB, edgeBC, edgeCD, edgeAD
  3. Intersect(zAxis, yAxis) → F
  4. Distance(D, C) → distanceDC
  5. Distance(E, C) → distanceEC

AI Drawing Prompt Reference

Draw a square-based pyramid. First, create a point E on the z-axis. Then, use points A, B, C, and D to form the square base. Construct the pyramid with E as the apex. Next, create point F at the intersection of the z-axis and y-axis. Finally, measure the lengths of DC and EC.
The prompt above was compiled from the original drawing commands and is for reference only.