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复数平方根

复数平方根
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2016-11-25 11:28
函数解析几何复数
这个范例演示了复数平方根的概念。它通过几何图形展示了复数平方根的性质，涉及复数的基本运算和几何表示。使用了诸如Shuffle、Element、Min、Max、Random等GeoGebra命令进行构造。适合高中数学教学和学习复数相关知识。

GeoGebra 命令及参数

  1. Shuffle({2, 3, 4, 5, 6, 7, 8, 9}) → numbers
  2. Element(numbers, 5) → e_3
  3. Element(numbers, 8) → f_3
  4. Min({e_3, f_3}) → c_3
  5. Element(Xlist, c_3) → text84
  6. Max({e_3, f_3}) → g_3
  7. Element(Xlist, g_3) → text83
  8. Element(numbers, 4) → b_3
  9. Element(numbers, 3) → a_3
  10. Shuffle({2, 4, 6, 8}) → list1
  11. Element(numbers, 2) → w_2
  12. Element(numbers, 1) → v_2
  13. Element(list1, 2) → j
  14. Element(list1, 1) → e
  15. Random(13, 20) → f_2
  16. Random(3, 12) → v_1
  17. Random(13, 20) → e_2
  18. Random(3, 12) → w_1
  19. Element(Words, l) → text73
  20. Element(Words, j) → text8
  21. Element(Words, e) → text7
  22. Element(Words, k) → text9
  23. Element(list1, 4) → l_3
  24. Element(Words, l_3) → text10
  25. Element(Words, k) → text72
  26. Midpoint(B, D) → H
  27. Midpoint(A, C) → F
  28. Midpoint(F, H) → I
  29. Midpoint(I, H) → R
  30. Midpoint(M_1, N_1) → O_1
  31. Midpoint(O_1, N_1) → Q_1
  32. Midpoint(M_1, O_1) → P_1
  33. Midpoint(F, I) → M
  34. Midpoint(A, B) → E
  35. Midpoint(C, D) → G
  36. Midpoint(E, I) → J
  37. Midpoint(A, F) → K
  38. Midpoint(B, H) → L
  39. Midpoint(K, J) → N
  40. Midpoint(A, E) → O
  41. Midpoint(E, B) → P
  42. Midpoint(J, L) → Q
  43. Midpoint(C, G) → S
  44. Midpoint(G, D) → T
  45. Polygon(U, V, W, Z) → poly1, u, v, w, z_1
  46. Polygon(A_1, B_1, C_1, D_1) → poly2, a_1, b_1, c_1, d_1
  47. Polygon(E_1, F_1, G_1, H_1) → poly3, e_1, f_1, g_1, h_1
  48. Polygon(F, M, P_1, M_1) → poly5, f, m, s, n_1
  49. Polygon(I_1, J_1, K_1, L_1) → poly4, i_1, j_1, k_1, l_1
  50. Polygon(I, R, Q_1, O_1) → poly7, r, t, q_1, s_1
  51. Polygon(M, I, O_1, P_1) → poly6, g, i, m_1, p_1
  52. Polygon(R, H, N_1, Q_1) → poly8, h, r_1, t_1, a_2
  53. Element(list1, 3) → k_3
  54. Shuffle({1, 2, 3, 4}) → Mix
  55. Element(Mix, 1) → n
  56. Element(Mix, 2) → o
  57. Element(Mix, 3) → p
  58. Element(Mix, 4) → q
  59. Element(ShownWords, n) → text11
  60. Element(ShownWords, o) → text12
  61. Element(ShownWords, p) → text13
  62. Element(ShownWords, q) → text14
  63. Element(Definitions, e) → text21
  64. Element(Definitions, j) → text22
  65. LaTeX(Points, true, true) → text25
  66. Polygon(K, M_1, P_1, N) → poly9, k_2, m_2, p_2, n_2
  67. Polygon(N, J, O_1, P_1) → poly10, n_3, j_2, o_1, p_3
  68. Polygon(J, O_1, Q_1, Q) → poly11, j_3, o_2, q_2, q_3
  69. Polygon(Q, Q_1, N_1, L) → poly12, q_4, q_5, n_4, l_2
  70. Textfield(Name) → inputBox1
  71. Textfield(Date) → inputBox2
  72. Segment(R_1, S_1) → b_2
  73. Point(b_2) → T_1
  74. Ellipse(U_1, V_1, T_1) → c_2
  75. Point(c_2) → W_1
  76. Point(c_2) → Z_1
  77. Segment(C_2, D_2) → d_2
  78. Point(d_2) → E_2
  79. Element(Definitions, k) → text23
  80. Element(Definitions, l) → text24
  81. Element(numbers, 6) → d_3
  82. Element(Xlist, h_3) → text85