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梯形 by Chuck DeVange

梯形 by Chuck DeVange
几何画板及绘图内容加载中，请稍等……
2016-02-12 06:06
多边形解析几何几何作图
这个范例演示了梯形的几何构造。核心数学概念包括多边形和几何作图。使用了Line, Segment, Point, Intersect, Polygon等GeoGebra命令。适合初中及以上学生学习几何作图和梯形的相关性质。

GeoGebra 命令及参数

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Segment(A, B) → c
  4. Segment(B, C) → d
  5. Point(b) → D
  6. Segment(D, C) → e
  7. Segment(A, D) → f
  8. Segment(A, C) → g
  9. Segment(D, B) → h
  10. Intersect(g, h) → E
  11. Polygon(D, A, E) → poly1, e_1, d_1, a_1
  12. Polygon(B, E, C) → poly2, c_1, b_1, e_2
  13. Line(F, G) → i
  14. OrthogonalLine(F, i) → j
  15. OrthogonalLine(G, i) → k
  16. Point(k) → H
  17. OrthogonalLine(H, k) → l
  18. Intersect(j, l) → I
  19. Segment(F, G) → m
  20. Segment(G, H) → n
  21. Segment(H, I) → p
  22. Segment(I, F) → q
  23. Segment(F, H) → r
  24. Point(m) → J
  25. OrthogonalLine(J, m) → s
  26. Intersect(s, r) → K
  27. Intersect(s, r) → L
  28. OrthogonalLine(K, q) → t
  29. Intersect(s, p) → N
  30. Intersect(t, q) → O
  31. Intersect(t, n) → P
  32. Segment(J, N) → f_1
  33. Segment(O, P) → g_1
  34. Polygon(J, K, P, G) → poly3, j_1, k_1, p_1, g_2
  35. Polygon(O, K, N, I) → poly4, o, k_2, n_1, i_1