五格骨游戏

五格骨游戏
几何画板及绘图内容加载中,请稍等……
2013-11-08 06:45
所属专题 Elementary Geometry
①本范例演示五格骨形状的拼合与变换;②涉及的核心数学概念包括几何拼接、面积计算、对称性分析;③作图要点:使用 Point, Segment, F, Fflip, L, Lflip, I, P, Pflip, N, Nflip, T, U, W, Y, Yflip, Z, Zflip, X, V 等命令创建和翻转五格骨;④适合初中及以上学生,用于几何学习和空间思维训练。

GeoGebra 命令及参数

  1. Point(Circle[A, 1]) → B
  2. Segment(A, B) → a
  3. Point(Circle[C, 1]) → D
  4. Segment(C, D) → b
  5. Point(Circle[E, 1]) → F
  6. Segment(E, F) → c
  7. Point(Circle[G, 1]) → H
  8. Segment(G, H) → d
  9. Point(Circle[I, 1]) → J
  10. Segment(I, J) → e
  11. Point(Circle[K, 1]) → L
  12. Segment(K, L) → f
  13. Point(Circle[M, 1]) → N
  14. Segment(M, N) → g
  15. Point(Circle[O, 1]) → P
  16. Segment(O, P) → h
  17. Point(Circle[Q, 1]) → R
  18. Segment(Q, R) → i
  19. Point(Circle[S, 1]) → T
  20. Segment(S, T) → j
  21. Point(Circle[U, 1]) → V
  22. Segment(U, V) → k
  23. Point(Circle[W, 1]) → Z
  24. Segment(W, Z) → l
  25. Point(Circle[A_1, 1]) → B_1
  26. Segment(A_1, B_1) → m
  27. Point(Circle[C_1, 1]) → D_1
  28. Segment(C_1, D_1) → n
  29. Point(Circle[E_1, 1]) → F_1
  30. Segment(E_1, F_1) → p
  31. Point(Circle[G_1, 1]) → H_1
  32. Segment(G_1, H_1) → q
  33. Point(Circle[I_1, 1]) → J_1
  34. Segment(I_1, J_1) → r
  35. Point(Circle[K_1, 1]) → L_1
  36. Segment(K_1, L_1) → s
  37. F(A, B) → poly1, poly2, R_1, S_1, T_1, U_1, V_1, poly3, poly4, poly5, M_1, N_1, O_1, P_1, Q_1
  38. Fflip(A_1, B_1) → poly6, poly7, D_2, E_2, F_2, G_2, H_2, poly8, poly9, poly10, W_1, Z_1, A_2, B_2, C_2
  39. L(C, D) → poly11, poly12, N_2, O_2, P_2, Q_2, R_2, poly13, poly14, poly15, I_2, J_2, K_2, L_2, M_2
  40. Lflip(C_1, D_1) → poly16, poly17, Z_2, A_3, B_3, C_3, D_3, poly18, poly19, poly20, S_2, T_2, U_2, V_2, W_2
  41. I(M, N) → poly21, poly22, J_3, K_3, L_3, M_3, N_3, poly23, poly24, poly25, E_3, F_3, G_3, H_3, I_3
  42. P(E, F) → poly26, poly27, T_3, U_3, V_3, W_3, Z_3, poly28, poly29, poly30, O_3, P_3, Q_3, R_3, S_3
  43. Pflip(E_1, F_1) → A_4, B_4, poly31, poly32, poly33, poly34, poly35, C_4, D_4, E_4, F_4, G_4, H_4, I_4, J_4
  44. N(G, H) → K_4, L_4, poly36, poly37, poly38, poly39, poly40, M_4, N_4, O_4, P_4, Q_4, R_4, S_4, T_4
  45. Nflip(G_1, H_1) → U_4, V_4, poly41, poly42, poly43, poly44, poly45, W_4, Z_4, A_5, B_5, C_5, D_5, E_5, F_5
  46. T(S, T) → G_5, H_5, poly46, poly47, poly48, poly49, poly50, I_5, J_5, K_5, L_5, M_5, N_5, O_5, P_5
  47. U(U, V) → Q_5, R_5, poly51, poly52, poly53, poly54, poly55, S_5, T_5, U_5, V_5, W_5, Z_5, A_6, B_6
  48. W(W, Z) → C_6, D_6, poly56, poly57, poly58, poly59, poly60, E_6, F_6, G_6, H_6, I_6, J_6, K_6, L_6
  49. Y(I, J) → poly61, poly62, R_6, S_6, T_6, U_6, V_6, poly63, poly64, poly65, M_6, N_6, O_6, P_6, Q_6
  50. Yflip(I_1, J_1) → poly66, poly67, D_7, E_7, F_7, G_7, H_7, poly68, poly69, poly70, W_6, Z_6, A_7, B_7, C_7
  51. Z(K, L) → I_7, J_7, poly71, poly72, poly73, poly74, poly75, K_7, L_7, M_7, N_7, O_7, P_7, Q_7, R_7
  52. Zflip(K_1, L_1) → S_7, T_7, poly76, poly77, poly78, poly79, poly80, U_7, V_7, W_7, Z_7, A_8, B_8, C_8, D_8
  53. X(O, P) → E_8, F_8, poly81, poly82, poly83, poly84, poly85, G_8, H_8, I_8, J_8, K_8, L_8, M_8, N_8
  54. V(Q, R) → O_8, P_8, poly86, poly87, poly88, poly89, poly90, Q_8, R_8, S_8, T_8, U_8, V_8, W_8, Z_8

AI 绘图提示语参考

绘制一套由不同形状组成的五格骨牌集合,每个五格骨牌由五个连续的线段组成,展示不同的几何形态。先画出多个基础线段,然后通过旋转和翻转这些线段,组合成不同的五格骨牌形状,如F形、L形、I形等,最终呈现一个包含多种五格骨牌的集合,强调几何拼接和对称性。
以上提示语为根据原始绘图命令整理而来,仅供参考。