IM 6.1.13 课程：多面体

GeoGebra 命令及参数

1. Segment(A, B) → f
2. Segment(C, D) → g
3. Point(yAxis) → E
4. Point(xAxis) → F
5. Point(yAxis) → G
6. Polygon(E, F, G, H) → q1, e, f_1, g_1, h
7. Midpoint(f_1) → I
8. Midpoint(h) → J
9. Polygon(K, G, F) → t1, f_2, k, g_2
10. Polygon(K, L, H, G) → q2, k_1, l, h_1, g_3
11. Polygon(K, L, E, F) → q3, k_2, l_1, e_1, f_3
12. Polygon(L, H, E) → t2, e_2, l_2, h_2
13. Point(xAxis) → M
14. Point(yAxis) → N
15. Point(Circle[N, Distance[M, N], Segment[M, N]]) → O
16. Cube(M, N, O) → a, P, faceOPTS, faceQRST, edgeMP, edgeMN, edgeNO, edgeOP, edgeMQ, edgePT, edgeQT, edgeQR, Q, edgeNR, edgeRS, edgeOS, edgeST, R, S, T, faceMNOP, faceMPTQ, faceMNRQ, faceNOSR
17. Polygon(U, V, W, Z) → q4, u, v, w, z_1
18. Polygon(C_1, D_1, Z, W) → q5, c_1, d_1, z_2, w_1
19. Polygon(A_1, B_1, V, U) → q7, j, b_1, v_1, u_2
20. Polygon(D_1, A_1, B_1, C_1) → q8, m, p, q, r
21. Polygon(E_1, F_1, G_1, H_1) → q9, s, t, b, c
22. Polygon(J_1, I_1, E_1, F_1) → q12, s_1, t_1, i_2, j_2
23. Polygon(J_1, K_1, N_1, I_1) → q13, m_2, n_2, p_2, q_2
24. Polygon(K_1, J_1, F_1, G_1) → q14, r_2, s_2, t_2, a_2
25. Polygon(K_1, N_1, H_1, G_1) → q6, i, n_1, d, i_1
26. Polygon(I_1, E_1, H_1, N_1) → q10, j_1, m_1, p_1, q_1
27. Point(Circle[Midpoint[O_1, P_1], (Distance[O_1, P_1] * sqrt(3) / 2), Segment[O_1, P_1]]) → Q_1
28. Tetrahedron(O_1, P_1, Q_1) → o, R_1, edge6, edge5, face1, face3, face2, face4, edge2, edge1, edge4, edge3
29. Point(xAxis) → S_1
30. Point(yAxis) → T_1
31. Polygon(S_1, T_1, 4) → poly1, r_1, a_1, b_2, c_2, U_1, V_1
32. Pyramid(poly1, 3.4903016730249985) → o_1, W_1, face5, face7, face8, face6, edge7, edge8, edge9, edge10
33. Polygon(Z_1, A_2, 5, xOyPlane) → poly2, d_2, h_3, i_3, j_3, k_3, B_2, C_2, D_2
34. Pyramid(poly2, 4) → u_1, E_2, edge14, edge15, face9, face11, face12, face13, face10, edge11, edge12, edge13
35. Point(yAxis) → F_2
36. Point(yAxis) → G_2
37. Polygon(F_2, G_2, 3) → poly3, l_3, m_3, n_3, H_2
38. Prism(poly3, 3) → o_2, I_2, edge18, edge19, edge21, edge20, J_2, K_2, face15, face17, face16, face14, edge16, edge17
39. Polygon(J_2, N_2, G_2) → t3, p_3, q_3, r_3
40. Polygon(I_2, M_2, F_2) → t4, s_3, t_3, a_3
41. Polygon(M_2, N_2, J_2, I_2) → q11, b_3, c_3, d_3, e_3
42. Polygon(M_2, N_2, G_2, F_2) → q15, f_4, g_4, h_4, i_4
43. Polygon(O_2, P_2, 6, xOyPlane) → poly4, j_4, T_2, k_4, l_4, m_4, n_4, p_4, Q_2, R_2, S_2
44. Centroid(poly4) → V_2
45. OrthogonalLine(V_2, xOyPlane) → q_4
46. Point(q_4) → U_2
47. Circle(U_2, (2 * sqrt(3) / 3), xOyPlane) → c_4
48. Segment(U_2, W_2) → r_4
49. Intersect(r_4, c_4) → Z_2,
50. Segment(U_2, A_3) → s_4
51. Intersect(s_4, c_4) → B_3,
52. Segment(U_2, C_3) → t_4
53. Intersect(t_4, c_4) → D_3,
54. Polygon(B_3, Q_2, R_2) → t5, a_4, b_4, d_4
55. Polygon(D_3, S_2, T_2) → t6, e_4, f_5, g_5
56. Polygon(Z_2, O_2, P_2) → t7, h_5, i_5, j_5
57. Polygon(B_3, Z_2, P_2, Q_2) → q16, k_5, l_5, m_5, n_5
58. Polygon(D_3, Z_2, O_2, T_2) → q17, p_5, q_5, r_5, s_5
59. Polygon(B_3, D_3, S_2, R_2) → q18, t_5, a_5, b_5, c_5
60. Polygon(Z_2, B_3, D_3) → t8, d_5, e_5, f_6
61. Polygon(T_2, D_3, S_2) → t9, g_6, h_6, i_6
62. Polygon(Q_2, B_3, R_2) → t10, j_6, k_6, l_6
63. Polygon(Z, Z_2, O_2) → t11, m_6, z_3, n_6
64. Segment(E_3, F_3) → p_6
65. Point(yAxis) → H_3
66. Polygon(G_3, H_3, 5, xOyPlane) → poly5, q_6, r_6, s_6, t_6, a_6, I_3, J_3, K_3
67. Centroid(poly5) → M_3
68. Plane(L_3, poly5) → p_7
69. Polygon(O_3, N_3, 5, xOyPlane) → poly6, b_6, c_6, d_6, e_6, f_7, P_3, Q_3, R_3
70. Polygon(P_3, H_3, I_3) → t12, g_7, h_7, i_7
71. Polygon(P_3, N_3, H_3) → t13, j_7, k_7, l_7
72. Polygon(P_3, Q_3, I_3) → t14, m_7, n_7, q_7
73. Polygon(Q_3, I_3, J_3) → t15, r_7, s_7, t_7
74. Polygon(Q_3, R_3, J_3) → t16, a_7, b_7, c_7
75. Polygon(R_3, K_3, J_3) → t17, d_7, e_7, f_8
76. Polygon(R_3, K_3, O_3) → t18, o_3, g_8, h_8
77. Polygon(K_3, O_3, G_3) → t19, i_8, j_8, k_8
78. Polygon(G_3, N_3, O_3) → t20, l_8, m_8, n_8
79. Polygon(G_3, H_3, N_3) → t21, p_8, q_8, r_8
80. Intersect(q, b_1) → S_3
81. Intersect(q, w_1) → T_3
82. Point(w_1) → U_3
83. Intersect(b_1, v) → V_3
84. Polygon(S_3, T_3, U_3, V_3) → q19, s_8, t_8, u_3, v_3
85. Intersect(m, d_1) → W_3
86. Intersect(m, u_2) → Z_3
87. Intersect(u_2, v_1) → A_4
88. Intersect(z_1, d_1) → B_4
89. Polygon(W_3, Z_3, A_4, B_4) → q20, w_3, a_8, b_8, c_8
90. Point(q_8) → C_4
91. PointIn(poly5) → D_4
92. Polygon(C_4, I, D_4) → t22, d_8, e_8, i_9
93. PointIn(poly5) → E_4
94. Polygon(I, E_4, C_4) → t23, f_9, i_{10}, g_9