多边形内角与外角和的探究

GeoGebra 命令及参数

1. Segment(A_1, A_2) → a_1
2. Segment(A_2, A_3) → a_2
3. Segment(A_3, A_1) → s_3
4. Segment(A_3, A_4) → a_3
5. Segment(A_4, A_1) → s_4
6. Segment(A_4, A_5) → a_4
7. Segment(A_5, A_1) → s_5
8. Segment(A_5, A_6) → a_5
9. Segment(A_6, A_1) → s_6
10. Segment(A_6, A_7) → a_6
11. Segment(A_7, A_1) → s_7
12. Segment(A_7, A_8) → a_7
13. Segment(A_8, A_1) → s_8
14. Angle(A_3, A_2, A_1) → int_3
15. Angle(A_1, A_3, A_2) → tempb_3
16. Angle(A_2, A_1, A_3) → tempa_3
17. Angle(A_4, A_3, A_2) → int_4
18. Angle(A_1, A_4, A_3) → tempa_4
19. Angle(A_2, A_1, A_4) → tempb_4
20. Angle(A_5, A_4, A_3) → int_5
21. Angle(A_1, A_5, A_4) → tempa_5
22. Angle(A_2, A_1, A_5) → tempb_5
23. Angle(A_6, A_5, A_4) → int_6
24. Angle(A_1, A_6, A_5) → tempa_6
25. Angle(A_2, A_1, A_6) → tempb_6
26. Angle(A_7, A_6, A_5) → int_7
27. Angle(A_1, A_7, A_6) → tempa_7
28. Angle(A_2, A_1, A_7) → tempb_7
29. Angle(A_8, A_7, A_6) → int_8
30. Angle(A_1, A_8, A_7) → tempa_8
31. Angle(A_2, A_1, A_8) → tempb_8
32. Ray(A_1, A_2) → ray_1
33. Ray(A_2, A_3) → ray_2
34. Ray(A_3, A_1) → tempray_3
35. Angle(tempray_3, a_1) → exttempa_3
36. Angle(ray_1, a_2) → ext_1
37. Angle(ray_2, s_3) → exttempb_3
38. Ray(A_3, A_4) → ray_3
39. Ray(A_4, A_1) → tempray_4
40. Angle(ray_3, s_4) → exttempa_4
41. Angle(tempray_4, a_1) → exttempb_4
42. Angle(ray_2, a_3) → ext_4
43. Ray(A_4, A_5) → ray_4
44. Ray(A_5, A_1) → tempray_5
45. Angle(ray_3, a_4) → ext_5
46. Angle(ray_4, s_5) → exttempa_5
47. Angle(tempray_5, a_1) → exttempb_5
48. Angle(ray_4, a_5) → ext_6
49. Ray(A_5, A_6) → ray_5
50. Angle(ray_5, s_6) → exttempa_6
51. Ray(A_6, A_1) → tempray_6
52. Angle(tempray_6, a_1) → exttempb_6
53. Angle(ray_5, a_6) → ext_7
54. Ray(A_6, A_7) → ray_6
55. Ray(A_7, A_1) → tempray_7
56. Angle(ray_6, s_7) → exttempa_7
57. Angle(tempray_7, a_1) → exttempb_7
58. Ray(A_7, A_8) → ray_7
59. Ray(A_8, A_1) → tempray_8
60. Angle(ray_6, a_7) → ext_8
61. Angle(ray_7, s_8) → exttempa_8
62. Angle(tempray_8, a_1) → exttempb_8