帕斯卡三角形交互式演示

GeoGebra 命令及参数

1. Polygon(A, B, 3) → poly1, n, f_1, h_1, C
2. Polygon(A_1, B_1, 3) → poly1_1, n_1, f_2, h_2, C_1
3. Polygon(A_2, B_2, 3) → poly1_2, n_2, f_3, h_4, C_2
4. Polygon(A_3, B_3, 3) → poly1_3, n_3, f_4, h_5, C_3
5. Segment(H, I) → g_1
6. Segment(H_1, I_1) → g_2
7. Segment(H_2, I_2) → g_3
8. Segment(H_3, I_3) → g_4
9. Segment(H_4, I_4) → g_5
10. Segment(H_5, I_5) → g_6
11. Segment(H_6, I_6) → g_7
12. Segment(H_7, I_7) → g_8
13. Segment(L, M) → j_1
14. Point(j_1) → N
15. Segment(N, O) → k_1
16. Segment(M, P) → l_1
17. Segment(Q, R) → i_1
18. Segment(S, T) → m_1
19. Segment(W, Z) → p_1
20. Segment(D_1, E_1) → q_1
21. Segment(J_1, K_1) → r_1
22. Segment(L_1, M_1) → s_1
23. Segment(P_1, Q_1) → t_1
24. Segment(P_2, Q_2) → t_2
25. Segment(P_3, Q_3) → t_3
26. Segment(P_4, Q_4) → t_4
27. Segment(P_5, Q_5) → t_5
28. Segment(P_6, Q_6) → t_6
29. Segment(M_2, N_2) → a_1
30. Segment(M_3, N_3) → a_2
31. Segment(M_4, N_4) → a_3
32. Segment(T_2, U_2) → e_1
33. Segment(T_3, U_3) → e_2
34. Segment(T_4, U_4) → e_3
35. Segment(V_2, W_2) → c_1
36. Polygon(Z_2, D_3, 4) → poly2, i_2, j_2, k_2, l_2, E_3, F_3
37. Segment(C_4, D_4) → b_1
38. Segment(D_4, E_4) → d_1
39. Segment(F_4, G_4) → m_2
40. Segment(G_4, J_4) → p_2
41. Point(Circle[K_4, 1.8503665963061509]) → L_4
42. Point(Circle[K_5, 1.8503665963061509]) → L_5
43. Point(Circle[K_6, 1.8503665963061509]) → L_6
44. Point(Circle[R_4, 2.557437046452202]) → S_4
45. Point(Circle[W_4, Segment[R_4, S_4]]) → Z_4
46. Rotate(Z_4 + (Segment[S_4, V_4], 0), Angle[V_4 - S_4] + Angle[Z_4 - W_4] - Angle[S_4 - R_4], Z_4) → A_5
47. Point(Circle[R_5, 2.557437046452202]) → S_5
48. Polygon(R_5, S_5, V_5) → poly4_1, v_1, r_2, s_2
49. Point(Circle[W_5, Segment[R_5, S_5]]) → Z_5
50. Rotate(Z_5 + (Segment[S_5, V_5], 0), Angle[V_5 - S_5] + Angle[Z_5 - W_5] - Angle[S_5 - R_5], Z_5) → A_6
51. Segment(B_5, C_5) → q_2
52. Segment(B_5, D_5) → b_2
53. Point(Circle[E_5, 1.6189147873363703]) → F_5
54. Point(Circle[F_5, 1.9564697237334108]) → J_5
55. Point(Circle[N_5, 1.8399017340850627]) → T_5
56. Polygon(N_5, T_5, U_5) → poly5, u_5, n_5, t_7
57. Point(Circle[J_5, 2.1812936747652714]) → B_6
58. Point(q_2) → D_6
59. Point(Circle[D_6, 2.1766130533787167]) → F_6
60. Point(Circle[E_6, 2.218805743574816]) → J_6
61. Point(Circle[N_6, 2.076966620956787]) → R_6
62. Point(Circle[R_6, 2.096296584038995]) → T_6
63. Polygon(R_6, T_6, U_6) → poly11, u_6, r_3, t_8
64. Point(Circle[V_6, 2.149589058189039]) → W_6
65. Polygon(V_6, W_6, Z_6) → poly12, z_6, v_6, w_6
66. Point(Circle[A_7, 2.1077280446071045]) → B_7
67. Polygon(A_7, B_7, C_7) → poly6, c_7, a_7, b_7
68. Intersect(n_5, t_7) → D_7
69. Point(Circle[F_7, 2.10664200664006]) → G_7
70. Polygon(F_7, G_7, J_7) → poly10, j_7, f_8, g_{11}
71. Point(q_2) → E_7
72. Point(Circle[E_7, 2.284619007065576]) → L_7
73. Polygon(E_7, L_7, M_7) → poly7, m_7, e_7, l_7
74. Point(Circle[P_7, 2.090488994709375]) → Q_7
75. Point(Circle[N_7, 1.9992802498775035]) → O_7
76. Polygon(N_7, O_7, S_7) → poly8, s_7, n_7, o_7
77. Point(Circle[K_7, 2.02232664935158]) → T_7
78. Polygon(K_7, T_7, U_7) → poly9, u_7, k_7, t_9
79. Point(Circle[V_7, 2.1250291678347835]) → W_7
80. Polygon(V_7, W_7, Z_7) → poly13, z_7, v_7, w_7
81. Intersect(z_7, v_7) → A_8
82. Intersect(a_7, b_7) → B_8
83. Segment(A_8, B_8) → c_2
84. Point(Circle[C_8, 1.9329341587930147]) → D_8
85. Point(Circle[F_8, 1.8274213340827847]) → G_8
86. Polygon(F_8, G_8, H_8) → poly4, h_8, f_6, g_{10}
87. Point(Circle[I_8, 1.8438621070570156]) → J_8
88. Polygon(I_8, J_8, K_8) → poly14, k_8, i_8, j_8