立方体的几何作图

立方体的几何作图
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2019-03-24 22:23
该范例演示了立方体的几何作图。涉及的核心数学概念包括立体几何和几何作图。通过使用GeoGebra命令如Point, Cube, Rotate, Line等,可以构造出立方体的各个面和边。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

  1. Point(Circle[C, Distance[A, C], Segment[A, C]]) → E
  2. Cube(A, C, E) → a, F, faceEFJI, faceGHIJ, edgeAF, edgeAC, edgeCE, edgeEF, edgeAG, edgeFJ, edgeGJ, edgeGH, G, edgeCH, edgeHI, edgeEI, edgeIJ, H, I, J, faceACEF, faceAFJG, faceACHG, faceCEIH
  3. Rotate(faceAFJG, α, xAxis) → faceAFJG'
  4. Line(B, yAxis) → b
  5. Line(C, xAxis) → c
  6. Line(E, c) → d
  7. Rotate(faceCEIH, (-α), c) → faceCEIH'
  8. Rotate(faceEFJI, (-α), d) → faceEFJI'
  9. Rotate(faceGHIJ, α, b) → faceGHIJ'
  10. Rotate(faceACEF, (-α), yAxis) → faceACEF'