几何作图:如何分组?(第一部分)

几何作图:如何分组?(第一部分)
几何画板及绘图内容加载中,请稍等……
2020-07-16 18:54
本范例演示如何通过几何作图解决分组问题。核心数学概念包括角度、减法、比例和加法。使用了Hexagon, Tool2, Tool4, Tool3等GeoGebra命令。适合初中数学教学。

GeoGebra 命令及参数

  1. Hexagon(A) → f, g, h, i, j, k, poly1, B
  2. Hexagon(C) → l, m, n, p, q, r, poly2, D
  3. Hexagon(E) → s, t, a, b, c, d, poly3, F
  4. Hexagon(G) → e, f_1, g_1, h_1, i_1, j_1, poly4, H
  5. Tool2(I) → poly5, k_1, l_1, m_1, n_1, J
  6. Tool2(K) → poly6, p_1, q_1, r_1, s_1, L
  7. Tool2(M) → poly7, t_1, a_1, b_1, c_1, N
  8. Tool2(O) → poly8, d_1, e_1, f_2, g_2, P
  9. Tool4(Q) → h_2, i_2, j_2, k_2, R, poly9
  10. Tool4(S) → l_2, m_2, n_2, p_2, T, poly10
  11. Tool4(U) → q_2, r_2, s_2, t_2, V, poly11
  12. Tool4(W) → a_2, b_2, c_2, d_2, Z, poly12
  13. Tool4(A_1) → e_2, f_3, g_3, h_3, B_1, poly13
  14. Tool4(C_1) → i_3, j_3, k_3, l_3, D_1, poly14
  15. Tool3(E_1) → m_3, n_3, p_3, F_1, poly15
  16. Tool3(G_1) → q_3, r_3, s_3, H_1, poly16
  17. Tool3(I_1) → t_3, a_3, b_3, J_1, poly17
  18. Tool3(K_1) → c_3, d_3, e_3, L_1, poly18
  19. Tool3(M_1) → f_4, g_4, h_4, N_1, poly19
  20. Tool3(O_1) → i_4, j_4, k_4, P_1, poly20
  21. Tool3(Q_1) → l_4, m_4, n_4, R_1, poly21
  22. Tool3(S_1) → p_4, q_4, r_4, T_1, poly22
  23. Tool3(U_1) → s_4, t_4, a_4, V_1, poly23
  24. Tool3(W_1) → b_4, c_4, d_4, Z_1, poly24
  25. Tool3(A_2) → e_4, f_5, g_5, B_2, poly25
  26. Tool3(C_2) → h_5, i_5, j_5, D_2, poly26
  27. Hexagon(A_3) → f_6, g_6, h_6, i_6, j_6, k_5, poly1_1, B_3
  28. Hexagon(C_3) → l_5, m_5, n_5, p_5, q_5, r_5, poly2_1, D_3
  29. Hexagon(E_2) → s_5, t_5, a_5, b_5, c_5, d_5, poly3_1, F_2
  30. Hexagon(G_2) → e_5, f_7, g_7, h_7, i_7, j_7, poly4_1, H_2
  31. Tool2(I_2) → poly5_1, k_6, l_6, m_6, n_6, J_2
  32. Tool2(K_2) → poly6_1, p_6, q_6, r_6, s_6, L_2
  33. Tool2(M_2) → poly7_1, t_6, a_6, b_6, c_6, N_2
  34. Tool2(O_2) → poly8_1, d_6, e_6, f_8, g_8, P_2
  35. Tool4(Q_2) → h_8, i_8, j_8, k_7, R_2, poly9_1
  36. Tool4(S_2) → l_7, m_7, n_7, p_7, T_2, poly10_1
  37. Tool4(U_2) → q_7, r_7, s_7, t_7, V_2, poly11_1
  38. Tool4(W_2) → a_7, b_7, c_7, d_7, Z_2, poly12_1
  39. Tool4(A_4) → e_7, f_9, g_9, h_9, B_4, poly13_1
  40. Tool4(C_4) → i_9, j_9, k_8, l_8, D_4, poly14_1
  41. Tool3(E_3) → m_8, n_8, p_8, F_3, poly15_1
  42. Tool3(G_3) → q_8, r_8, s_8, H_3, poly16_1
  43. Tool3(I_3) → t_8, a_8, b_8, J_3, poly17_1
  44. Tool3(K_3) → c_8, d_8, e_8, L_3, poly18_1
  45. Tool3(M_3) → f_{10}, g_{10}, h_{10}, N_3, poly19_1
  46. Tool3(O_3) → i_{10}, j_{10}, k_9, P_3, poly20_1
  47. Tool3(Q_3) → l_9, m_9, n_9, R_3, poly21_1
  48. Tool3(S_3) → p_9, q_9, r_9, T_3, poly22_1
  49. Tool3(U_3) → s_9, t_9, a_9, V_3, poly23_1
  50. Tool3(W_3) → b_9, c_9, d_9, Z_3, poly24_1
  51. Tool3(A_5) → e_9, f_{11}, g_{11}, B_5, poly25_1
  52. Tool3(C_5) → h_{11}, i_{11}, j_{11}, D_5, poly26_1

AI 绘图提示语参考

绘制一个由多个六边形组成的几何图形,每个六边形由点A、C、E、G、I、K、M、O、Q、S、U、W、A1、C1、E1、G1、I1、K1、M1、O1、Q1、S1、U1、W1、A2、C2、E2、G2、I2、K2、M2、O2、Q2、S2、U2、W2、A3、C3、E2、G2、I2、K2、M2、O2、Q2、S2、U2、W2、A4、C4、E3、G3、I3、K3、M3、O3、Q3、S3、U3、W3构成。首先绘制六边形A、C、E、G、I、K、M、O、Q、S、U、W,然后使用工具2和工具4添加更多六边形,最后使用工具3进一步构造图形。
以上提示语为根据原始绘图命令整理而来,仅供参考。