平面图

平面图
几何画板及绘图内容加载中,请稍等……
2013-06-24 10:58
所属专题 Graph theory
本范例介绍了平面图的基本概念。通过构造K_4、K_5、K_{3,3}等图,展示了平面图的性质。使用了Segment命令来绘制边,适合初中及以上学生学习平面图理论。

GeoGebra 命令及参数

  1. Segment(K_4, B) → a
  2. Segment(B, C) → b
  3. Segment(C, D) → c
  4. Segment(D, K_4) → d
  5. Segment(K_4, C) → e
  6. Segment(B, D) → f
  7. Segment(K_5, E) → g
  8. Segment(E, F) → h
  9. Segment(F, G) → i
  10. Segment(G, H) → j
  11. Segment(H, K_5) → k
  12. Segment(K_5, F) → l
  13. Segment(E, H) → m
  14. Segment(K_5, G) → n
  15. Segment(G, E) → p
  16. Segment(F, H) → q
  17. Segment(K_{3,3}, I) → r
  18. Segment(I, J) → s
  19. Segment(K_{3,3}, K) → t
  20. Segment(K, L) → a_1
  21. Segment(L, M) → b_1
  22. Segment(M, J) → c_1
  23. Segment(J, K) → d_1
  24. Segment(K_{3,3}, M) → e_1
  25. Segment(L, I) → f_1
  26. Segment(A, N) → g_1
  27. Segment(N, O) → h_1
  28. Segment(O, P) → i_1
  29. Segment(P, Q) → j_1
  30. Segment(Q, R) → k_1
  31. Segment(R, S) → l_1
  32. Segment(S, T) → m_1
  33. Segment(T, U) → n_1
  34. Segment(U, A) → p_1
  35. Segment(A, V) → q_1
  36. Segment(V, N) → r_1
  37. Segment(V, O) → s_1
  38. Segment(V, P) → t_1
  39. Segment(V, Q) → a_2
  40. Segment(V, R) → b_2
  41. Segment(V, S) → c_2
  42. Segment(V, T) → d_2
  43. Segment(V, U) → e_2
  44. Segment(K_1, B_1) → a_3
  45. Segment(B_1, C_2) → b_3
  46. Segment(C_2, D_2) → c_3
  47. Segment(D_2, K_1) → d_3
  48. Segment(K_1, C_2) → e_3
  49. Segment(B_1, D_2) → f_3
  50. Segment(A_1, N_1) → g_2
  51. Segment(N_1, O_1) → h_2
  52. Segment(O_1, P_1) → i_2
  53. Segment(P_1, Q_1) → j_2
  54. Segment(Q_1, R_1) → k_2
  55. Segment(R_1, S_1) → l_2
  56. Segment(S_1, T_1) → m_2
  57. Segment(T_1, U_1) → n_2
  58. Segment(U_1, A_1) → p_2
  59. Segment(A_1, V_1) → q_2
  60. Segment(V_1, N_1) → r_2
  61. Segment(V_1, O_1) → s_2
  62. Segment(V_1, P_1) → t_2
  63. Segment(V_1, Q_1) → a_4
  64. Segment(V_1, R_1) → b_4
  65. Segment(V_1, S_1) → c_4
  66. Segment(V_1, T_1) → d_4
  67. Segment(V_1, U_1) → e_4

AI 绘图提示语参考

绘制一个平面图,包括K_4、K_5和K_{3,3}图。首先画出K_4图的四个顶点A、B、C、D,并连接AB、BC、CD、DA、AC、BD。接着画出K_5图的五个顶点E、F、G、H、I,并连接EF、FG、GH、HI、IE、FG、GH、HI、IE。最后画出K_{3,3}图的六个顶点J、K、L、M、N、O,并连接JK、KL、LM、MJ、JK、LM、MN、JO、KO、LO、JO、KO、LO、MN。
以上提示语为根据原始绘图命令整理而来,仅供参考。