Solid Geometry Construction and Optimization Demo

Solid Geometry Construction and Optimization Demo
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2019-05-28 20:35
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This example demonstrates the construction of solid geometry figures using GeoGebra, focusing on the creation of basic geometric elements like points, cubes, and pyramids, and explores the relationships between line segments, faces, and bodies. The core mathematical concepts involved include solid geometry, geometric construction, and optimization problems. Key construction techniques are highlighted from the command summary, utilizing commands and objects such as PointIn, Point, Cube, Pyramid, suitable for high school and above students studying solid geometry and optimization.

GeoGebra Commands & Parameters

  1. PointIn(c) → A
  2. PointIn(c) → B
  3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  4. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  5. Pyramid(faceEFGH, d) → e, J, faceEHJ, faceGHJ, faceFGJ, faceEFJ, edgeEJ, edgeHJ, edgeGJ, edgeFJ