金字塔构造演示 by a.schwing

金字塔构造演示 by a.schwing
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2017-04-08 23:26
①本范例演示了金字塔的三维几何构造与展示;②涉及的核心数学概念包括多边形、立体几何、空间几何关系;③作图要点——从下方『构造摘要』提炼用到了Point(点)、Polygon(多边形)、OrthogonalLine(垂线)、Intersect(交点)、Pyramid(金字塔)等GeoGebra命令/对象;④适合高中立体几何教学或几何作图学习。

GeoGebra 命令及参数

  1. Point(yAxis) → C
  2. Polygon(A, B, C) → poly1, c, a, b
  3. OrthogonalLine(C, c) → f
  4. OrthogonalLine(A, a) → g
  5. Intersect(f, g) → D
  6. OrthogonalLine(D, xOyPlane) → h
  7. Point(h) → E
  8. Pyramid(poly1, E) → d, faceABE, faceBCE, faceACE, edgeAE, edgeBE, edgeCE
  9. Polygon(F, G, H) → poly2, h_1, f_1, g_1
  10. OrthogonalLine(G, xOyPlane) → i
  11. Point(i) → I
  12. Pyramid(poly2, I) → e, faceFGI, faceGHI, faceFHI, edgeFI, edgeGI, edgeHI