积极 AI Logo 积极 AI

四边形探究：梯形、等腰梯形与菱形

四边形探究：梯形、等腰梯形与菱形
几何画板及绘图内容加载中，请稍等……
2018-03-07 08:11
多边形几何作图
本范例通过几何画板演示梯形、等腰梯形与菱形的性质与构造。涉及的核心数学概念包括四边形、等腰梯形、菱形等。作图要点包括使用线段、点、交点、角、圆等命令。适合初中及以上学生或教师使用。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. Segment(A, D) → b
  3. Line(D, a) → c
  4. Point(c) → C
  5. Segment(B, C) → d
  6. Segment(D, C) → e
  7. Segment(D, B) → f
  8. Segment(A, C) → g
  9. Intersect(f, g) → E
  10. Segment(E, B) → h
  11. Segment(E, C) → i
  12. Segment(E, D) → j
  13. Segment(E, A) → k
  14. Angle(A, B, C) → α
  15. Angle(B, C, D) → β
  16. Angle(C, D, A) → γ
  17. Angle(D, A, B) → δ
  18. Angle(E, B, A) → ε
  19. Angle(C, B, E) → ζ
  20. Angle(B, C, E) → η
  21. Angle(D, C, E) → θ
  22. Angle(C, D, E) → ι
  23. Angle(E, D, A) → κ
  24. Angle(D, A, E) → λ
  25. Angle(E, A, B) → μ
  26. Angle(B, E, A) → ν
  27. Angle(B, E, C) → ξ
  28. Angle(C, E, D) → ο
  29. Angle(A, E, D) → ρ
  30. Segment(F, G) → p
  31. Line(H, p) → q
  32. Segment(F, H) → r
  33. Circle(G, r) → s
  34. Intersect(s, q, 2) → I
  35. Segment(G, I) → t
  36. Segment(H, I) → a_1
  37. Angle(I, H, F) → σ
  38. Angle(H, F, G) → τ
  39. Angle(F, G, I) → υ
  40. Angle(G, I, H) → ϕ
  41. Segment(H, G) → b_1
  42. Segment(F, I) → c_1
  43. Intersect(b_1, c_1) → J
  44. Segment(J, F) → d_1
  45. Segment(J, G) → e_1
  46. Segment(J, I) → f_1
  47. Segment(J, H) → g_1
  48. Angle(F, G, J) → χ
  49. Angle(J, G, I) → ψ
  50. Angle(G, I, J) → ω
  51. Angle(J, I, H) → α_1
  52. Angle(I, H, J) → β_1
  53. Angle(J, H, F) → γ_1
  54. Angle(H, F, J) → δ_1
  55. Angle(J, F, G) → ε_1
  56. Angle(G, J, I) → ζ_1
  57. Angle(I, J, H) → η_1
  58. Angle(H, J, F) → θ_1
  59. Angle(G, J, F) → ι_1
  60. Segment(L, M) → i_1
  61. Segment(K, L) → j_1
  62. Circle(M, i_1) → k_1
  63. Circle(K, j_1) → p_1
  64. Intersect(k_1, p_1, 1) → N
  65. Segment(M, N) → l_1
  66. Segment(N, K) → m_1
  67. Angle(L, M, N) → κ_1
  68. Angle(M, N, K) → λ_1
  69. Angle(N, K, L) → μ_1
  70. Angle(K, L, M) → ν_1
  71. Segment(L, N) → q_1
  72. Segment(M, K) → r_1
  73. Intersect(q_1, r_1) → O
  74. Segment(M, O) → s_1
  75. Segment(O, N) → t_1
  76. Segment(O, K) → a_2
  77. Segment(O, L) → b_2
  78. Angle(M, O, N) → ξ_1
  79. Angle(O, M, N) → ο_1
  80. Angle(M, N, O) → ρ_1
  81. Angle(O, N, K) → σ_1
  82. Angle(N, K, O) → τ_1
  83. Angle(O, K, L) → υ_1
  84. Angle(K, L, O) → ϕ_1
  85. Angle(O, L, M) → χ_1
  86. Angle(L, M, O) → ψ_1