任意五边形内角与外角和定理演示

GeoGebra 命令及参数

1. Ray(A, B) → a
2. Ray(B, C) → b
3. Ray(C, D) → c
4. Ray(D, E) → d
5. Ray(E, A) → e
6. Circle(A, 1.5) → f
7. Circle(B, 1.5) → g
8. Circle(C, 1.5) → h
9. Circle(D, 1.5) → k
10. Circle(E, 1.5) → p
11. Segment(C, A) → i
12. Segment(C, E) → j
13. Intersect(f, a, 1) → F
14. Intersect(f, i, 1) → G
15. Intersect(f, e, 1) → H
16. Intersect(f, e, 2) → I
17. Intersect(p, e) → J,
18. Intersect(p, j) → K,
19. Intersect(p, d, 1) → L
20. Intersect(p, d, 2) → M
21. Intersect(k, d, 1) → N
22. Intersect(k, c, 2) → O
23. Intersect(h, c, 1) → P
24. Intersect(h, j, 1) → Q
25. Intersect(h, i, 1) → R
26. Intersect(h, b, 1) → S
27. Intersect(g, a, 2) → T
28. Intersect(g, b, 1) → U
29. Intersect(g, a, 1) → V
30. CircleSector(A, F, G) → q
31. CircleSector(A, G, H) → r
32. CircleSector(B, U, V) → s
33. CircleSector(C, P, Q) → t
34. CircleSector(C, Q, R) → c_1
35. CircleSector(C, R, S) → d_1
36. Intersect(k, c, 1) → W
37. CircleSector(D, O, N) → e_1
38. CircleSector(D, N, W) → f_1
39. CircleSector(E, M, J) → g_1
40. CircleSector(E, J, K) → h_1
41. CircleSector(E, K, L) → k_1
42. CircleSector(A, I, F) → p_1
43. CircleSector(B, T, U) → q_1
44. Intersect(h, b, 2) → Z
45. CircleSector(C, Z, P) → r_1
46. Vector(A, B) → u
47. Vector(C, B) → v
48. Vector(E, D) → w
49. Vector(C, D) → u_1
50. Vector(C, E) → v_1
51. Vector(A, E) → w_1
52. Translate(q, u) → q'
53. Translate(d_1, v) → s_1
54. Mirror(s_1, B) → t_1
55. Dilate(A, If[0 < l ≤ 1, 1 - l, 0], B) → A'
56. Dilate(C, If[0 < l ≤ 1, 1 - l, 0], B) → C'
57. Dilate(A, If[1 < l ≤ 2, 2 - l, 0], E) → A'_1
58. Dilate(C, If[1 < l ≤ 2, 2 - l, 0], E) → C'_1
59. Dilate(C, If[2 < l ≤ 3, 3 - l, 0], D) → C'_2
60. Dilate(E, If[2 < l ≤ 3, 3 - l, 0], D) → E'
61. Vector(A, B) → a_1
62. Vector(C, C') → b_1
63. Vector(A, A'_1) → i_1
64. Vector(E, E') → j_1
65. Vector(C, C'_2) → l_1
66. Vector(C, C'_1) → m_1
67. Translate(d_1, b_1) → c_2
68. Translate(r, i_1) → r'_1
69. Translate(r, w_1) → r'_2
70. Translate(k_1, w) → d_2
71. Translate(k_1, j_1) → e_2
72. Translate(c_1, v_1) → f_2
73. Translate(c_1, m_1) → g_2
74. Translate(t, u_1) → t'
75. Translate(t, l_1) → t'_1
76. Translate(q, a_1) → r'
77. Translate(d_1, b_1) → h_2
78. If(0 < l < 1, Rotate[h_2, ((l * 180))°, C']) → k_2
79. Vector(A, A') → n_1
80. Translate(q, n_1) → q'_1
81. Mirror(r'_2, E) → p_2
82. If(1 < l < 2, Rotate[r'_1, (((l - 1) * 180))°, A'_1]) → q_2
83. Line(E, C) → a_2
84. Mirror(t', D) → t''
85. Line(E, D) → b_2
86. Segment(E, C) → i_2
87. If(2 < l < 3, Rotate[t'_1, (((l - 2) * 180))°, C'_2]) → r_2
88. Line(E, D) → j_2
89. Vector(D, C) → u_2
90. Vector(E, C) → v_2
91. Vector(A, C) → w_2
92. Vector(B, C) → l_2
93. Dilate(B, If[0 < o < 1, 1 - o, 0], C) → B'
94. Dilate(A, If[1 < o < 2, 2 - o, 0], C) → A'_2
95. Dilate(E, If[2 < o < 3, 3 - o, 0], C) → E'_1
96. Dilate(D, If[3 < o < 4, 4 - o, 0], C) → D'
97. Vector(B, B') → m_2
98. Vector(A, A'_2) → n_2
99. Vector(E, E'_1) → s_2
100. Vector(D, D') → t_2
101. Translate(q_1, m_2) → c_3
102. Translate(q_1, l_2) → d_3
103. Translate(p_1, w_2) → e_3
104. Translate(g_1, v_2) → f_3
105. Translate(e_1, u_2) → g_3
106. If(1 < o < 2, Translate[p_1, n_2]) → h_3
107. If(2 < o < 3, Translate[g_1, s_2]) → k_3
108. If(3 < o < 4, Translate[e_1, t_2]) → p_3
109. Point(a_2) → A_1
110. Point(a_2) → B_1
111. Ray(C, B_1) → a_3
112. Ray(E, A_1) → b_3
113. Polygon(A, B, C, D, E) → poly1, a_4, b_4, c_4, d_4, e_4
114. Polygon(A, B, C) → poly2, c_5, a_5, b_5
115. Polygon(A, C, E) → poly3, e_5, a_6, c_6
116. Polygon(E, C, D) → poly4, d_5, e_6, c_7