复数三角函数

复数三角函数
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2018-01-13 01:45
所属专题 Complex Math
①本范例演示复数与三角函数的结合,通过动态图形展示复数的几何意义与三角函数性质;②涉及核心概念包括复数、三角函数、圆、向量、解析几何;③作图要点使用Vector(向量)、Point(点)、Segment(线段)、Line(直线)、OrthogonalLine(垂线)、Intersect(交点)、Mirror(镜像)等GeoGebra命令;④适合高中及以上数学学习,用于理解复平面、三角函数图像及几何变换。

GeoGebra 命令及参数

  1. Vector((a, 0)) → u
  2. Vector((a, 0), (a, b)) → v
  3. Vector((a, 0), (a, c)) → w
  4. Point(w) → E
  5. Segment(C, E) → l
  6. Point(v) → F
  7. Segment(C, F) → m
  8. Vector((b, 0), (b, f)) → n
  9. Vector((b, 0), (b, g)) → p
  10. Point(p) → G
  11. Point(n) → D
  12. Segment(C, G) → j
  13. Segment(C, D) → k
  14. Point(u) → I
  15. Line(G, j) → q
  16. Line(F, w) → r
  17. Point(q) → J
  18. Point(u) → K
  19. OrthogonalLine(J, xAxis) → d_1
  20. Intersect(s, t) → P
  21. Segment(C, P) → a_1
  22. Intersect(t, yAxis) → Q
  23. Segment(Q, P) → b_1
  24. Segment(T, P) → c_1
  25. Segment(S, A_1) → e_1
  26. Segment(R, Z) → f_1
  27. Segment(U, B_1) → g_1
  28. Segment(V, C_1) → h_1
  29. Segment(C, W) → i_1
  30. Mirror(C, c_1) → C'
  31. Mirror(W, c_1) → W'
  32. Segment(C', W') → j_1
  33. Mirror(R, c_1) → R'
  34. Mirror(Z, c_1) → Z'
  35. Segment(R', Z') → k_1
  36. Mirror(S, c_1) → S'
  37. Mirror(A_1, c_1) → D_1
  38. Segment(S', D_1) → l_1
  39. Mirror(Q, c_1) → Q'
  40. Mirror(P, c_1) → P'
  41. Segment(Q', P') → m_1
  42. Mirror(V, c_1) → V'
  43. Mirror(C_1, c_1) → E_1
  44. Segment(V', E_1) → n_1
  45. Mirror(U, c_1) → U'
  46. Mirror(B_1, c_1) → F_1
  47. Segment(U', F_1) → p_1
  48. Mirror(S', j_1) → S''
  49. Mirror(D_1, j_1) → G_1
  50. Segment(S'', G_1) → q_1
  51. Mirror(R', j_1) → R''
  52. Mirror(Z', j_1) → Z''
  53. Segment(R'', Z'') → r_1
  54. Mirror(Q', j_1) → Q''
  55. Mirror(P', j_1) → P''
  56. Segment(Q'', P'') → s_1
  57. Mirror(V', j_1) → V''
  58. Mirror(E_1, j_1) → H_1
  59. Segment(V'', H_1) → t_1
  60. Mirror(U', j_1) → U''
  61. Mirror(F_1, j_1) → I_1
  62. Segment(U'', I_1) → a_2
  63. Mirror(S'', s_1) → S'''
  64. Mirror(G_1, s_1) → K_1
  65. Segment(S''', K_1) → b_2
  66. Mirror(V'', s_1) → V'''
  67. Mirror(H_1, s_1) → J_1
  68. Segment(V''', J_1) → c_2
  69. Mirror(U'', s_1) → U'''
  70. Mirror(I_1, s_1) → L_1
  71. Segment(U''', L_1) → d_2
  72. Mirror(R'', s_1) → R'''
  73. Mirror(Z'', s_1) → Z'''
  74. Segment(R''', Z''') → e_2
  75. Segment(C, E) → f_2
  76. Segment(C, F) → g_2