梯形与菱形的几何作图

梯形与菱形的几何作图
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2020-01-24 01:19
这个范例演示了梯形和菱形的几何作图。涉及的核心数学概念包括梯形和菱形的性质。通过使用GeoGebra命令如Segment, Line, Distance, Circle, Intersect, Angle等,可以构造出梯形和菱形。适合初中和高中学生学习几何作图。

GeoGebra 命令及参数

  1. Segment(E, F) → k
  2. Line(F, G) → l
  3. Line(E, l) → n
  4. Distance(k, l) → a
  5. Distance(F, G) → distanceFG
  6. Circle(G, k) → c
  7. Intersect(c, n, 2) → H
  8. Segment(G, H) → p
  9. Segment(F, G) → q
  10. Segment(E, H) → r
  11. Angle(F, E, H) → α
  12. Angle(G, H, E) → β
  13. Angle(E, F, G) → γ
  14. Angle(H, G, F) → δ
  15. Intersect(c, r, 2) → I
  16. Segment(G, I) → s
  17. Circle(A, B) → d
  18. Circle(C, D) → e
  19. Intersect(d, e, 1) → J
  20. Intersect(d, e, 2) → K
  21. Segment(A, J) → f
  22. Segment(A, K) → g
  23. Segment(K, C) → h
  24. Segment(C, J) → i
  25. Segment(A, C) → j
  26. Segment(J, K) → m
  27. Intersect(j, m) → L
  28. Angle(A, K, C) → ε
  29. Angle(C, J, A) → ζ
  30. Angle(A, L, K) → η
  31. Segment(M, N) → t
  32. Segment(M, O) → b
  33. Line(N, b) → f_1
  34. Point(f_1) → P
  35. Segment(O, P) → g_1
  36. Segment(N, P) → h_1
  37. Angle(N, M, O) → θ
  38. Angle(M, O, P) → ι
  39. Angle(O, P, N) → κ
  40. Angle(M, N, P) → λ
  41. Segment(N, O) → i_1
  42. Segment(M, P) → j_1
  43. Segment(F, H) → k_1
  44. Segment(G, E) → l_1
  45. Intersect(k_1, l_1) → Q
  46. Angle(J, A, K) → μ
  47. Angle(K, C, J) → ν