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金字塔网格演示

金字塔网格演示
几何画板及绘图内容加载中，请稍等……
2016-10-07 10:33
解析几何立体几何几何作图
①本范例演示金字塔网格的构建与几何变换；②涉及核心数学概念包括多边形、解析几何、立体几何、三角函数和几何变换；③作图要点：使用Polygon、Midpoint、OrthogonalLine、Point、Distance、Intersect等GeoGebra命令构建金字塔网格；④适合高中及以上学生学习和理解立体几何与几何变换。

GeoGebra 命令及参数

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Midpoint(A, D) → E
  3. OrthogonalLine(E, i) → j
  4. Point(j) → F
  5. Polygon(F, A, D) → poly2, d, f_1, a
  6. Distance(F, E) → distanceFE
  7. Distance(F, E) → b
  8. OrthogonalLine(H, h) → k
  9. Point(k) → I
  10. Distance(H, h) → distanceHh
  11. Point(k) → G
  12. Distance(H, G) → distanceHG
  13. Intersect(k, f) → J
  14. Distance(I, J) → distanceIJ
  15. Polygon(D, G, C) → poly3, c, d_1, g_1
  16. Polygon(A, I, B) → poly4, b_1, a_1, i_1
  17. Distance(I, B) → distanceIB
  18. Midpoint(B, C) → K
  19. OrthogonalLine(K, g) → l
  20. Point(l) → L
  21. Distance(K, L) → distanceKL
  22. Polygon(B, L, C) → poly5, c_1, b_2, l_1