凸多边形外角和的第一次探究

GeoGebra 命令及参数

1. Polygon(A, B, 5) → poly1, a_1, b, c, d, e, C, D, E
2. LineBisector(e) → f
3. LineBisector(a_1) → g
4. LineBisector(d) → h
5. Intersect(h, g) → F
6. Dilate(A, a, F) → E1
7. Dilate(B, a, F) → E5
8. Dilate(C, a, F) → E4
9. Dilate(D, a, F) → E3
10. Dilate(E, a, F) → E2
11. Polygon(E1, E5, E4, E3, E2) → poly1', a', b', c', d', e'
12. Line(E1, E2) → i
13. Line(E2, E3) → j
14. Line(E3, E4) → k
15. Line(E4, E5) → l
16. Line(E5, E1) → m
17. Point(i) → G
18. Point(j) → H
19. Point(k) → I
20. Point(l) → J
21. Vector(E4, J) → u
22. Ray(E5, J) → n
23. Point(m) → K
24. Ray(E5, K) → p
25. Point(i) → L
26. Ray(E1, L) → q
27. Point(j) → M
28. Ray(E2, M) → r
29. Point(k) → N
30. Ray(E3, N) → s
31. Text("What is the sum of the exterior angles of a regular pentagon?") → text1
32. Text("What about any convex polygon?") → text3
33. Text("Engage:") → text5
34. Text("Is it the same for any pentagon?") → text2
35. Text("Explore:") → text6
36. Text("Explain:") → text7
37. Text("In your own words, explain your conclusions.") → text8
38. Text("Extend:") → text9
39. Text("Evalute:") → text10
40. Angle(q, p) → α
41. Angle(r, q) → β
42. Angle(s, r) → γ
43. Angle(n, s) → δ
44. Angle(p, n) → ε
45. Text("Move the slider to visually investigate!") → text4
46. Text("How did this activty help you understanding properties of polygons?") → text11