多边形中的角

多边形中的角
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2016-11-22 05:50
本范例演示多边形中角的度量。涉及的核心数学概念包括多边形和角。通过使用GeoGebra命令如Polygon, Angle, Ray, Point等,可以构造多边形并测量其内部角。适合初中及以上学生学习多边形的性质。

GeoGebra 命令及参数

  1. Polygon(A, B, n) → poly1, a, j, k, l, m, p, q, r, s, t, C, b, D, E, F, G, H, I, J, K, L, M, c, N, O, P, Q, R, d, e, f, g, h, i
  2. Angle(B, A, R) → α
  3. Angle(A, R, Q) → β
  4. Angle(R, Q, P) → γ
  5. Angle(Q, P, O) → δ
  6. Angle(P, O, N) → ε
  7. Angle(O, N, M) → ζ
  8. Angle(N, M, L) → η
  9. Angle(M, L, K) → θ
  10. Angle(L, K, J) → ι
  11. Angle(K, J, I) → κ
  12. Angle(J, I, H) → λ
  13. Angle(H, G, F) → ν
  14. Angle(G, F, E) → ξ
  15. Angle(F, E, D) → ο
  16. Angle(E, D, C) → ρ
  17. Angle(D, C, B) → σ
  18. Angle(C, B, A) → τ
  19. Ray(A, B) → a_1
  20. Ray(B, C) → b_1
  21. Ray(C, D) → c_1
  22. Ray(D, E) → d_1
  23. Ray(E, F) → e_1
  24. Ray(F, G) → f_1
  25. Ray(G, H) → g_1
  26. Ray(H, I) → h_1
  27. Ray(I, J) → i_1
  28. Ray(J, K) → j_1
  29. Ray(K, L) → k_1
  30. Ray(L, M) → l_1
  31. Ray(M, N) → m_1
  32. Ray(N, O) → n_1
  33. Ray(O, P) → p_1
  34. Ray(P, Q) → q_1
  35. Ray(Q, R) → r_1
  36. Ray(R, A) → s_1
  37. Point(a_1) → S
  38. Point(b_1) → T
  39. Point(c_1) → U
  40. Point(d_1) → V
  41. Point(e_1) → W
  42. Point(f_1) → Z
  43. Point(g_1) → A_1
  44. Point(h_1) → B_1
  45. Point(i_1) → C_1
  46. Point(j_1) → D_1
  47. Point(k_1) → E_1
  48. Point(l_1) → F_1
  49. Point(m_1) → G_1
  50. Point(n_1) → H_1
  51. Point(p_1) → I_1
  52. Point(q_1) → J_1
  53. Point(r_1) → K_1
  54. Point(s_1) → L_1
  55. Angle(S, B, C) → ν_1
  56. Polygon(S, B, T) → poly2, t_1, s_2, b_2
  57. Angle(I, H, G) → ξ_1
  58. Point(c_1) → Q_1
  59. Point(d_1) → R_1
  60. Point(e_1) → S_1
  61. Point(f_1) → T_1
  62. Point(g_1) → U_1
  63. Point(h_1) → V_1
  64. Point(i_1) → W_1
  65. Point(j_1) → Z_1
  66. Point(k_1) → A_2
  67. Point(l_1) → B_2
  68. Point(m_1) → C_2
  69. Point(n_1) → D_2
  70. Point(p_1) → E_2
  71. Point(q_1) → F_2
  72. Point(r_1) → G_2
  73. Angle(Q_1, V, R_1) → υ
  74. Angle(R_1, W, S_1) → ϕ
  75. Angle(S_1, Z, T_1) → χ
  76. Angle(T_1, A_1, U_1) → ψ
  77. Angle(U_1, B_1, V_1) → ω
  78. Angle(V_1, C_1, W_1) → α_1
  79. Angle(W_1, D_1, Z_1) → β_1
  80. Angle(Z_1, E_1, A_2) → γ_1
  81. Angle(A_2, F_1, B_2) → δ_1
  82. Angle(B_2, G_1, C_2) → ε_1
  83. Angle(C_2, H_1, D_2) → ζ_1
  84. Angle(D_2, I_1, E_2) → η_1
  85. Angle(E_2, J_1, F_2) → θ_1
  86. Angle(F_2, K_1, G_2) → ι_1
  87. Point(s_1) → H_2