等腰三角形示例与非示例（可交互几何构造）

GeoGebra 命令及参数

1. Rotate(A, 36*°, B) → A'
2. Angle(A, B, A') → α
3. Segment(C, D) → a
4. Rotate(C, α, D) → C'
5. Rotate(D, α, D) → D'
6. Segment(C', D') → a'
7. Point(a') → E
8. Ray(D, E) → b
9. Point(b) → F
10. Segment(C, F) → c
11. AngularBisector(C, D, F) → d
12. Intersect(d, c) → G
13. Segment(D, G) → e
14. Segment(D, F) → f
15. Angle(C, D, G) → β
16. Angle(G, D, F) → γ
17. Segment(H, I) → g
18. Segment(H, J) → h
19. Mirror(H, g) → H'
20. Mirror(J, g) → J'
21. Segment(H', J') → h'
22. Segment(J, J') → i
23. Angle(J', J, H) → δ
24. Angle(H, J', J) → ε
25. Segment(K, L) → j
26. Segment(L, M) → k
27. Segment(M, K) → l
28. OrthogonalLine(L, l) → m
29. Intersect(m, l) → N
30. Segment(L, N) → n
31. Angle(M, N, L) → ζ
32. Point(Circle[O, 2.5]) → P
33. Segment(O, P) → p
34. Midpoint(O, P) → Q
35. Segment(O, R) → q
36. Segment(R, P) → r
37. Segment(R, Q) → s
38. Segment(S, T) → t
39. Midpoint(S, T) → U
40. OrthogonalLine(U, t) → a_1
41. Point(a_1) → V
42. Segment(S, V) → b_1
43. Segment(V, T) → c_1
44. Segment(V, U) → d_1
45. Segment(W, Z) → e_1
46. Midpoint(e_1) → A_1
47. OrthogonalLine(A_1, e_1) → f_1
48. Point(f_1) → B_1
49. Segment(W, B_1) → g_1
50. Segment(B_1, Z) → h_1
51. Point(f_1) → C_1
52. Point(f_1) → D_1
53. Segment(C_1, D_1) → i_1
54. Segment(E_1, F_1) → j_1
55. Circle(G_1, 0.3) → k_1
56. Midpoint(S, U) → H_1
57. Point(k_1) → J_1
58. Segment(G_1, J_1) → l_1
59. Circle(H_1, l_1) → p_1
60. OrthogonalLine(H_1, t) → m_1
61. Intersect(p_1, m_1, 2) → K_1
62. Intersect(p_1, m_1, 1) → L_1
63. Segment(S, U) → q_1
64. Segment(U, T) → r_1
65. Midpoint(F_1, E_1) → I_1
66. OrthogonalLine(I_1, j_1) → n_1
67. Segment(F_1, I_1) → s_1
68. Segment(I_1, E_1) → t_1
69. Segment(E_1, M_1) → a_2
70. Segment(M_1, F_1) → b_2
71. Point(n_1) → N_1
72. Point(n_1) → O_1
73. Segment(N_1, O_1) → c_2
74. Angle(F_1, I_1, O_1) → η
75. Rotate(A_2, 36*°, B_2) → A'_1
76. Angle(A_2, B_2, A'_1) → α_1
77. Segment(C_2, D_2) → a_3
78. Rotate(C_2, α_1, D_2) → C'_1
79. Rotate(D_2, α_1, D_2) → D'_1
80. Segment(C'_1, D'_1) → a'_1
81. Point(a'_1) → E_2
82. Ray(D_2, E_2) → b_3
83. Point(b_3) → F_2
84. Segment(C_2, F_2) → c_3
85. AngularBisector(C_2, D_2, F_2) → d_2
86. Intersect(d_2, c_3) → G_2
87. Segment(D_2, G_2) → e_2
88. Segment(D_2, F_2) → f_2
89. Angle(C_2, D_2, G_2) → β_1
90. Angle(G_2, D_2, F_2) → γ_1
91. OrthogonalLine(C_2, e_2) → g_2
92. Intersect(g_2, f_2) → P_1
93. Segment(D_2, P_1) → h_2
94. Midpoint(C_2, P_1) → Q_1
95. Segment(C_2, P_1) → i_2
96. Segment(Q_1, D_2) → j_2
97. Angle(P_1, Q_1, D_2) → θ
98. Angle(T, U, V) → ι