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在数轴上添加整数

在数轴上添加整数
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2015-08-09 04:34
向量解析几何几何作图
①本范例通过动态演示在数轴上如何进行整数加法运算；②涉及的核心数学概念包括数轴、整数运算、向量加法；③作图要点——从下方『构造摘要』提炼用到了Line（线段）、Point（点）、Vector（向量）、Translate（平移）、Segment（线段）等GeoGebra命令与对象；④适合初中数学教学，用于帮助学生直观理解整数加法的几何意义。

GeoGebra 命令及参数

  1. Line(A, B) → a
  2. Point(a) → C
  3. Circle(C, 2) → p
  4. OrthogonalLine(C, a) → d
  5. Point(a) → D
  6. Point(a) → E
  7. Point(a) → F
  8. Point(a) → G
  9. Point(a) → H
  10. Point(a) → I
  11. Point(a) → J
  12. Point(a) → K
  13. Point(a) → L
  14. Point(a) → M
  15. Point(a) → N
  16. Point(a) → O
  17. Point(a) → P
  18. Point(a) → Q
  19. Point(a) → R
  20. Point(a) → S
  21. Point(a) → T
  22. Point(a) → U
  23. Point(a) → V
  24. Point(a) → W
  25. Point(a) → Y
  26. Point(a) → Z
  27. Point(a) → A_1
  28. Point(a) → B_1
  29. Point(a) → C_1
  30. Point(a) → D_1
  31. Point(a) → E_1
  32. Point(a) → F_1
  33. Point(a) → G_1
  34. Point(a) → H_1
  35. Intersect(p, d) → I_1, L_5
  36. OrthogonalLine(I_1, d) → e
  37. Vector(I_1, L_1) → v
  38. OrthogonalLine(L_5, d) → h
  39. Circle(C, 4) → k
  40. Intersect(k, d, 1) → J_1
  41. OrthogonalLine(J_1, d) → f
  42. Vector(J_1, K_1) → u
  43. Vector(L_5, M_1) → w
  44. Circle(L_5, 1) → g
  45. Intersect(g, d, 1) → N_1
  46. OrthogonalLine(N_1, d) → i
  47. Circle(M_1, 1) → q
  48. Intersect(q, i) → O_1, P_1
  49. Translate(O_1, v) → Q_1
  50. Vector(O_1, Q_1) → z
  51. Intersect(k, d, 2) → R_1
  52. Circle(R_1, N_1) → r
  53. Intersect(r, d, 2) → S_1
  54. OrthogonalLine(S_1, d) → j
  55. Vector(S_1, T_1) → l
  56. Segment(J_1, S_1) → m
  57. Segment(M_1, O_1) → t
  58. OrthogonalLine(K_1, a) → n
  59. Intersect(n, a) → U_1
  60. OrthogonalLine(L_1, a) → s
  61. OrthogonalLine(T_1, a) → a_1
  62. Intersect(s, a) → W_1
  63. Intersect(a_1, a) → Y_1
  64. Segment(K_1, U_1) → b_1
  65. Segment(T_1, Y_1) → c_1
  66. Segment(L_1, W_1) → d_1
  67. Segment(I_1, L_1) → b_2
  68. Segment(J_1, K_1) → e_1
  69. Segment(L_5, M_1) → f_1
  70. Segment(Q_1, O_1) → g_1
  71. Segment(T_1, S_1) → h_1
  72. Midpoint(J_1, K_1) → Z_1
  73. Midpoint(I_1, L_1) → A_2
  74. Midpoint(L_5, M_1) → B_2
  75. Midpoint(Q_1, O_1) → C_2
  76. Segment(Q_1, Y_1) → i_1
  77. Point(a) → V_1
  78. Point(a) → D_2
  79. Point(a) → E_2
  80. Point(a) → F_2
  81. Point(a) → G_2
  82. Point(a) → H_2
  83. Point(a) → I_2
  84. Point(a) → J_2
  85. Point(a) → K_2
  86. Point(a) → L_2