Serena的正方形、矩形、菱形等

Serena的正方形、矩形、菱形等
几何画板及绘图内容加载中,请稍等……
2016-03-09 23:36
这个范例展示了正方形、矩形和菱形等几何图形的构造。涉及的核心数学概念包括几何作图、角度、距离和线性函数。通过使用GeoGebra命令如Segment、Angle、Distance等,可以动态地构造这些图形。适合初中及以上学生学习几何作图和基本几何概念。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Segment(A, C) → b
  3. Angle(B, A, C) → α
  4. Distance(b, a) → d
  5. Segment(C, D) → e
  6. Angle(A, C, D) → β
  7. Segment(B, D) → c
  8. Angle(D, B, A) → γ
  9. Angle(C, D, B) → δ
  10. Segment(E, F) → f
  11. Segment(E, G) → g
  12. Angle(F, E, G) → ε
  13. Angle(E, G, H) → ζ
  14. Angle(H, F, E) → η
  15. Segment(F, H) → j
  16. Segment(G, H) → k
  17. Angle(G, H, F) → θ
  18. Segment(I, J) → h
  19. Segment(I, K) → i
  20. Segment(K, L) → l
  21. Angle(K, L, J) → ι
  22. Angle(I, K, L) → κ
  23. Angle(J, I, K) → λ
  24. Angle(L, J, I) → μ
  25. Segment(Q, R) → r
  26. Segment(Q, S) → t
  27. Segment(S, T) → a_1
  28. Segment(R, T) → b_1
  29. Distance(t, r) → o
  30. Segment(Q, T) → c_1
  31. Segment(R, S) → d_1
  32. Segment(G, U) → h_1
  33. Segment(U, H) → j_1
  34. Segment(U, F) → i_1
  35. Segment(E, U) → g_1
  36. Segment(U, E) → k_1
  37. Segment(A, D_1) → f_1
  38. Segment(D_1, D) → q_1
  39. Angle(C, D_1, A) → τ
  40. Segment(C, D_1) → e_1
  41. Segment(D_1, B) → s_1
  42. Segment(E_1, F_1) → t_1
  43. Segment(E_1, G_1) → a_2
  44. Segment(F_1, H_1) → c_2
  45. Segment(H_1, G_1) → e_2
  46. Segment(M, N) → m
  47. Segment(M, O) → p
  48. Segment(N, P) → q
  49. Segment(O, P) → l_1
  50. Angle(M, N, P) → ν
  51. Angle(O, M, N) → ξ
  52. Angle(N, P, O) → ο
  53. Angle(P, O, M) → ρ
  54. Point(Circle[M, 17.5]) → W
  55. Segment(W, O) → n_1
  56. Segment(N, W) → s
  57. Point(Circle[M, 17.4]) → Z
  58. Segment(M, Z) → p_1
  59. Point(Circle[P, 17.1]) → V
  60. Segment(P, V) → m_1
  61. Angle(c_1, d_1) → σ
  62. Point(Circle[E_1, 14]) → A_1
  63. Segment(E_1, A_1) → r_1
  64. Point(Circle[G_1, 14]) → B_1
  65. Segment(G_1, B_1) → b_2
  66. Segment(B_1, H_1) → d_2
  67. Segment(B_1, F_1) → f_2
  68. Angle(E_1, B_1, F_1) → υ
  69. Segment(L, J) → n