Open Middle Inscribed Angle Exercise (2)

GeoGebra 命令及参数

1. Polygon(A0, B, 4) → poly0, f, g, h, i, A, C
2. Polygon(A3, H, 4) → poly3, j, k, l, m, E, G
3. Polygon(A7, P, 4) → poly7, n, p, q, r, I, K
4. Polygon(A1, D, 4) → poly1, s, t, a, b, M, O
5. Polygon(A6, N, 4) → poly6, c, d, e, f_1, Q, S
6. Polygon(A2, H2, 4) → poly2, k_1, l_1, m_1, n_1, W, Z
7. Polygon(A8, A8 + (2, 0), 4) → poly8, g_1, h_1, i_1, j_1, U, V
8. Polygon(A9, T, 4) → poly9, p_1, q_1, r_1, s_1, A_1, B_1
9. Polygon(A4, J, 4) → poly4, t_1, a_1, b_1, c_1, C_1, D_1
10. Polygon(A5, L, 4) → poly5, d_1, e_1, f_2, g_2, E_1, F_1
11. Polygon(K_1, L_1, 4) → poly10, l_2, m_2, n_2, p_2, M_1, N_1
12. Polygon(O_1, P_1, 4) → poly12, q_2, r_2, s_2, t_2, Q_1, R_1
13. Polygon(S_1, T_1, 4) → poly13, a_2, b_2, c_2, d_2, U_1, V_1
14. Polygon(C_2, D_2, 4) → poly15, i_3, j_3, k_3, l_3, E_2, F_2
15. Polygon(G_2, H_2, 4) → poly16, m_3, n_3, p_3, q_3, I_2, J_2
16. Polygon(G_{3}, H_{3}, 4) → poly17, m_{4}, n_{4}, p_{4}, q_{4}, I_{3}, J_{3}
17. Polygon(C_{3}, D_{3}, 4) → poly14, i_{4}, j_{4}, k_{4}, l_{4}, E_{3}, F_{3}
18. If(aleft > aright, "Left side is bigger.", aleft < aright, "Right side is bigger", "Both sides are equal!") → text9
19. nCr(4, 2) → w
20. If(o_1 ≟ 0, p15 / p10, ((-p15)) / p10) → u_2
21. If(u_1 ≟ 0, p12 / p13, ((-p12)) / p13) → v_2
22. If(w_1 ≟ 0, p17 / p14, ((-p17)) / p14) → w_2
23. If(o_2 ≟ 0, p16, (-p16)) → b_3
24. Polygon(T_2, U_2, 4) → poly11, s_3, t_3, a_3, c_3, V_2, W_2
25. Polygon(Z_2, A_3, 4) → poly18, d_3, e_3, f_4, g_4, B_3, M_3
26. Circle(N_3, O_3) → c_4
27. Point(c_4) → P_3
28. Point(c_4) → Q_3
29. Point(c_4) → R_3
30. Point(c_4) → S_3
31. Circle(A_2, B_2) → e_2
32. Point(e_2) → O_2
33. Point(e_2) → P_2
34. Rotate(P_2, (((100 * p13) + (10 * p12) + p16) * pi / 180), O_2) → R_2
35. Ray(O_2, R_2) → i_2
36. Intersect(e_2, i_2, 2) → S_2
37. Rotate(O_2, ((-((10 * p14) + p18)) * pi / 180), P_2) → T_3
38. Ray(P_2, T_3) → j_2
39. Intersect(e_2, j_2, 2) → U_3
40. Rotate(P_2, ((-((10 * p11) + p17)) * pi / 180), U_3) → V_3
41. Ray(U_3, V_3) → g_3
42. Intersect(e_2, g_3, 2) → W_3
43. Rotate(O_2, (((10 * p15) + p10) * pi / 180), S_2) → Z_3
44. Ray(S_2, Z_3) → r_3
45. Intersect(e_2, r_3, 2) → A_4
46. Point(c_4) → B_4
47. Point(c_4) → C_4
48. Point(c_4) → D_4
49. Segment(B_4, C_4) → h_4
50. Segment(B_4, D_4) → r_4
51. Segment(E_4, C_4) → s_4
52. Segment(E_4, D_4) → t_4
53. Angle(C_4, E_4, D_4) → ε
54. Angle(C_4, B_4, D_4) → ζ
55. Segment(A_2, P_2) → h_2
56. Segment(O_2, P_2) → k_2
57. Rotate(P_2, (((100 * p14) + (10 * p18) + p11) * pi / 180), O_2) → G_4
58. Ray(O_2, G_4) → h_3
59. Mirror(C_4, E_4) → I_4
60. Intersect(s_4, t_4) → J_4
61. Segment(J_4, I_4) → b_4
62. Angle(D_4, J_4, I_4) → γ
63. AttachCopyToView(PolyLine[(1.8489,-1.6851), (1.8073,-1.5604), (1.0176,-0.85381), (0.68514,-0.52131), (0.51889,-0.31350), (0.35264,-0.18881), (0.10327,-0.022561), (-0.27079,0.30994), (-0.64485,0.60087), (-0.91501,0.82947), (-1.7670,1.3074), (-2.3074,1.5984), (-2.6398,1.7231), (-2.8892,1.8477), (-3.1594,1.9309), (-3.4711,2.0971), (-3.7205,2.1802), (-4.1777,2.4712), (-4.4270,2.5959), (-4.6348,2.6790), (-4.8842,2.8452), (-5.1336,2.9699), (-5.3414,3.0531), (-5.6323,3.1362), (-5.8817,3.1777), (-6.0895,3.2609), (-6.3597,3.2816), (-6.5467,3.3440), (-6.7130,3.3440), (-6.9416,3.3648), (-7.2533,3.4271), (-7.2533,3.1362), (-7.0455,2.6374), (-6.8792,2.2842), (-7.0455,2.6374), (-7.2117,3.0531), (-7.2741,3.3232), (-7.3780,3.5102), (-7.2325,3.7181), (-7.0455,3.8012), (-6.8792,3.9259), (-6.5883,4.1337), (-6.2973,4.3415), (NaN,NaN), true], 1, (-20.67793434487736, -14.694090934187248), (21.216971492055066, 14.60740570771501), (0, 705), (1008, 0)) → stroke2
64. AttachCopyToView(PolyLine[(-7.0455,9.6170), (-7.0455,9.4100), (-7.0455,9.1600), (-7.0455,8.9524), (-7.0039,8.7446), (-6.9208,8.5368), (-6.8584,8.3082), (-6.6922,7.9965), (-6.4428,7.6224), (-6.1519,7.3938), (-5.8817,7.2691), (-5.6323,7.2484), (-5.3206,7.3107), (-5.0089,7.5393), (-4.8011,7.6640), (-4.5933,7.8510), (-4.4063,8.1004), (-4.2608,8.3705), (-4.0738,8.5991), (-3.8659,8.6823), (-3.8036,8.4121), (-3.7620,8.1627), (-3.7205,7.9549), (-3.6373,7.7471), (-3.7620,8.0796), (-3.8867,8.4952), (-3.9283,8.7030), (-4.2816,8.6823), (-4.5517,8.6199), (-4.7595,8.6199), (-4.9258,8.6199), (NaN,NaN), true], 1, (-20.67793434487736, -14.694090934187248), (21.216971492055066, 14.60740570771501), (0, 705), (1008, 0)) → stroke1
65. Rotate(P_2, (((100 * p13) + (10 * p12) + p16) * pi / 180), A_2) → F_4
66. Segment(A_2, F_4) → f_3
67. Angle(P_2, A_2, F_4) → α
68. Rotate(P_2, (((10 * p18) + p11) * pi / 180), O_2) → H_4
69. Ray(O_2, H_4) → a_4
70. Intersect(e_2, a_4, 2) → M_4
71. Angle(P_2, O_2, H_4) → β
72. Segment(O_2, M_4) → d_4
73. Rotate(F_4, (((10 * p14) + p17) * pi / 180), A_2) → N_4
74. Segment(A_2, N_4) → e_4
75. Angle(F_4, A_2, N_4) → δ