图案积木的面积与周长计算：六边形/梯形拼块模型

GeoGebra 命令及参数

1. Hexagon(C) → l, m, n, p, q, r, Hexagon_{1}, D
2. Hexagon(E) → s, t, a, b, c, d, Hexagon_{2}, F
3. Hexagon(G) → e, f_1, g_1, h_1, i_1, j_1, Hexagon_{3}, H
4. Tool2(I) → Trapezoid_{1}, k_1, l_1, m_1, n_1, J
5. Tool2(O) → Trapezoid_{4}, d_1, e_1, f_2, g_2, P
6. Tool4(Q) → h_2, i_2, j_2, k_2, R, Parallelogram_{1}
7. Tool4(S) → l_2, m_2, n_2, p_2, T, Parallelogram_{2}
8. Tool4(U) → q_2, r_2, s_2, t_2, V, Parallellogram_{1}
9. Tool4(W) → a_2, b_2, c_2, d_2, Z, Parallelogram_{3}
10. Tool4(A_1) → e_2, f_3, g_3, h_3, B_1, Parallelogram_{4}
11. Tool4(C_1) → i_3, j_3, k_3, l_3, D_1, Parallelogram_{5}
12. Tool3(E_1) → m_3, n_3, p_3, F_1, Triangle_{1}
13. Tool3(G_1) → q_3, r_3, s_3, H_1, Triangle_{2}
14. Tool3(I_1) → t_3, a_3, b_3, J_1, Triangle_{3}
15. Tool3(K_1) → c_3, d_3, e_3, L_1, Triangle_{4}
16. Tool3(M_1) → f_4, g_4, h_4, N_1, Triangle_{5}
17. Tool3(O_1) → i_4, j_4, k_4, P_1, Triangle
18. Tool3(Q_1) → l_4, m_4, n_4, R_1, Triangle_{6}
19. Tool3(S_1) → p_4, q_4, r_4, T_1, Triangle_{7}
20. Tool3(U_1) → s_4, t_4, a_4, V_1, Triangle_{8}
21. Tool3(W_1) → b_4, c_4, d_4, Z_1, Triangle_{9}
22. Tool3(A_2) → e_4, f_5, g_5, B_2, Traingle_{1}
23. Tool3(C_2) → h_5, i_5, j_5, D_2, Triangle_{10}
24. Hexagon(A_3) → f_6, g_6, h_6, i_6, j_6, k_5, Hexagon_{4}, B_3
25. Hexagon(C_3) → l_5, m_5, n_5, p_5, q_5, r_5, Hexagon_{5}, D_3
26. Hexagon(E_2) → s_5, t_5, a_5, b_5, c_5, d_5, Hexagon_{6}, F_2
27. Hexagon(G_2) → e_5, f_7, g_7, h_7, i_7, j_7, Hexagon_{7}, H_2
28. Tool2(I_2) → Trapezoid_{5}, k_6, l_6, m_6, n_6, J_2
29. Tool4(Q_2) → h_8, i_8, j_8, k_7, R_2, Parallelogram_{6}
30. Tool4(S_2) → l_7, m_7, n_7, p_7, T_2, Parallelogram_{7}
31. Tool4(U_2) → q_7, r_7, s_7, t_7, V_2, Parallelogram_{8}
32. Tool4(W_2) → a_7, b_7, c_7, d_7, Z_2, Parallelogram_{9}
33. Tool4(A_4) → e_7, f_9, g_9, h_9, B_4, Parallelogram_{10}
34. Tool4(C_4) → i_9, j_9, k_8, l_8, D_4, Parallelogram_{11}
35. Tool3(E_3) → m_8, n_8, p_8, F_3, Triangle_{11}
36. Tool3(G_3) → q_8, r_8, s_8, H_3, Triangle_{12}
37. Tool3(I_3) → t_8, a_8, b_8, J_3, Triangle_{13}
38. Tool3(K_3) → c_8, d_8, e_8, L_3, Traingle
39. Tool3(M_3) → f_{10}, g_{10}, h_{10}, N_3, Triangle_{14}
40. Tool3(O_3) → i_{10}, j_{10}, k_9, P_3, Triangle_{15}
41. Tool3(Q_3) → l_9, m_9, n_9, R_3, Triangle_{16}
42. Tool3(S_3) → p_9, q_9, r_9, T_3, Triangle_{17}
43. Circle(A_6, 1) → c_{10}
44. Point(c_{10}) → B_6
45. Rotate(B_6, 90°, A_6) → B'_1
46. Rotate(A_6, (-(90°)), B_6) → A'_1
47. Square(C_6) → D_6, Square_{1}, f_{12}, g_{12}, h_{12}, i_{12}
48. Square(E_4) → F_4, Square_{2}, j_{12}, k_{10}, l_{10}, m_{10}
49. Square(G_4) → H_4, Square_{3}, n_{10}, p_{10}, q_{10}, r_{10}
50. Circle(A_7, 1) → c_{11}
51. Point(c_{11}) → B_7
52. Rotate(B_7, 150°, A_7) → B'_2
53. Midpoint(B'_2, B_7) → C_7
54. Mirror(A_7, C_7) → A'_2
55. Polygon(A_7, B_7, A'_2, B'_2) → Rhombus_{2}, a_{10}, b_{10}, a'_1, b'_1
56. TanRhombus(D_7) → E_5, Rhombus_{3}, f_{14}, g_{14}, h_{14}, i_{14}
57. TanRhombus(F_5) → G_5, Rhombus_{4}, j_{14}, k_{12}, l_{12}, m_{12}
58. TanRhombus(H_5) → I_5, Rhombus_{5}, n_{12}, p_{12}, q_{12}, r_{12}
59. TanRhombus(J_5) → K_5, Rhombus_{6}, s_{11}, t_{11}, d_{11}, e_{11}
60. TanRhombus(L_5) → M_5, Rhombus_{7}, f_{15}, g_{15}, h_{15}, i_{15}
61. TanRhombus(N_5) → O_5, Rhombus_{8}, j_{15}, k_{13}, l_{13}, m_{13}
62. TanRhombus(P_5) → Q_4, Rhombus_{9}, n_{13}, p_{13}, q_{13}, r_{13}
63. Hexagon(A_8) → f_{16}, g_{16}, h_{16}, i_{16}, j_{16}, k_{14}, Hexagon_{8}, B_8
64. Hexagon(C_8) → l_{14}, m_{14}, n_{14}, p_{14}, q_{14}, r_{14}, Hexagon_{9}, D_8
65. Hexagon(E_6) → s_{12}, t_{12}, a_{11}, b_{11}, c_{12}, d_{12}, Hexagon_{10}, F_6
66. Hexagon(G_6) → e_{12}, f_{17}, g_{17}, h_{17}, i_{17}, j_{17}, Hexagon_{11}, H_6
67. Hexagon(A_{11}) → f_{18}, g_{18}, h_{18}, i_{18}, j_{18}, k_{15}, Hexagon, B_9
68. Tool4(S_{12}) → l_{18}, m_{18}, n_{18}, p_{18}, T_4, Parallelogram_{12}
69. Tool4(U_{12}) → q_{18}, r_{18}, s_{16}, t_{16}, V_4, Parallelogram_{13}
70. Circle(A_{26}, 1) → c_{17}
71. Point(c_{17}) → B_{11}
72. Rotate(B_{11}, 150°, A_{26}) → B'_3
73. Midpoint(B'_3, B_{11}) → C_{26}
74. Mirror(A_{26}, C_{26}) → A'_3
75. Polygon(A_{26}, B_{11}, A'_3, B'_3) → Rhombus_{10}, a_{16}, b_{16}, a'_2, b'_2
76. TanRhombus(D_{10}) → E_{18}, Rhombus_{11}, f_{23}, g_{23}, h_{21}, i_{20}
77. TanRhombus(F_8) → G_{18}, Rhombus_{12}, j_{20}, k_{18}, l_{19}, m_{19}