特殊直角三角形基础问题

GeoGebra 命令及参数

1. Random(1, 2) → t
2. Random(1, 3) → s
3. Rotate(B, π / 6, A) → B'
4. Rotate(B, π / 4, A) → B'_1
5. Rotate(B, π / 3, A) → B'_2
6. Intersect(f, xAxis) → C
7. Intersect(h, xAxis) → D
8. Intersect(g, xAxis) → E
9. Polygon(A, E, B') → t1, b', a_1, e
10. Polygon(A, D, B'_1) → t2, b'_1, a_2, d
11. Polygon(A, C, B'_2) → t3, b'_2, a_3, c_1
12. Dilate(E, If[0 < b ≤ 1, 1 - b, 0], B') → E'
13. Dilate(A, If[0 < b ≤ 1, 1 - b, 0], D) → A'
14. Dilate(A, If[0 < b ≤ 1, 1 - b, 0], C) → A'_1
15. Segment(E, E') → i
16. Segment(A, A'_1) → j
17. Segment(A, A') → k
18. Midpoint(B', A) → F
19. Midpoint(B'_2, A) → G
20. Rotate(E, If[1 < b ≤ 2, ((-(b - 1)) * π / 3), ((-π)) / 3], B') → E'_1
21. Rotate(E', If[1 < b ≤ 2, ((-(b - 1)) * π / 3), ((-π)) / 3], B') → E''
22. Segment(E'_1, E'') → i'
23. Rotate(E'_1, If[2 < b ≤ 3, ((-(b - 2)) * π), (-π)], F) → H
24. Rotate(E'', If[2 < b ≤ 3, ((-(b - 2)) * π), (-π)], F) → E'''
25. Segment(H, E''') → i''
26. Rotate(A, If[1 < b ≤ 2, ((-(b - 1)) * π / 2), ((-π)) / 2], D) → A'_2
27. Segment(D, A'_2) → p
28. Rotate(C, If[1 < b ≤ 2, ((b - 1) * π / 3), π / 3], A) → C'
29. Segment(A, C') → q
30. Rotate(A, If[2 < b ≤ 3, ((b - 2) * π), π], G) → A'_3
31. Segment(G, A'_3) → r
32. Angle(B, A, B') → α
33. Angle(B, A, B'_1) → β
34. Angle(B, A, B'_2) → γ
35. Angle(B'_2, C, A) → δ
36. Angle(B'_1, D, A) → ε
37. Angle(B', E, A) → ζ
38. Angle(B'_1, D, A) → η
39. Angle(B'_2, C, A) → θ
40. Angle(B', E, A) → ι
41. Element(L1, t) → text3
42. Textfield(u) → InputBox1
43. If(s ≟ 1, 3, s ≟ 2, 2, s ≟ 3, 3) → l