互余角配对：补角/余角关系与度数求解（GeoGebra）

GeoGebra 命令及参数

1. SpeechBubbleLeft(PBubble - (0, 1), 12.4, 2.9) → poly1
2. SpeechBubbleLeft(PBubble, 11.5, 1.3) → poly2
3. SpeechBubbleLeft(PBubble, 5, 1) → poly3
4. Circle(A, 3.5) → c
5. Point(c) → B
6. Segment(A, B) → s11
7. OrthogonalLine(A, s11) → perpLine
8. Intersect(c, perpLine, 2) → MCOM
9. Arc(c, B, MCOM) → complArc
10. Point(complArc) → B'
11. Angle(B, A, B') → α
12. Segment(A, B') → s12
13. Circle(A, 2.3) → cExt
14. Mirror(B, cExt) → B'_{2}
15. Segment(B, B'_{2}) → sv11
16. Mirror(B', cExt) → B''_{1}
17. Segment(B', B''_{1}) → sv12
18. Vector(C, V) → u
19. Rotate(D, 90° - α, C) → D'
20. Segment(C, D) → s21
21. Segment(C, D') → s22
22. Vector(A, V) → v
23. Translate(A, Vector[(transSli1 * v)]) → A'
24. Translate(D', Vector[(transSli2 * u)]) → D''
25. Translate(B, Vector[(transSli1 * v)]) → B'_{1}
26. Angle(D'', V, B'_{1}) → ang
27. Rotate(A', (rotAng * rotSli), V) → A''
28. Translate(A, Vector[(transSli1 * v)]) → A'_{1}
29. Translate(B', Vector[(transSli1 * v)]) → B''
30. Rotate(B'', (rotAng * rotSli), V) → B'''
31. Translate(B', Vector[(transSli1 * u)]) → B''_{2}
32. Translate(B', Vector[(transSli1 * v)]) → B''_{3}
33. Translate(B, Vector[(transSli1 * u)]) → B'_{3}
34. Translate(B, Vector[(transSli1 * v)]) → B'_4
35. Rotate(B, α - 15°, A) → BF
36. Translate(C, u) → C'
37. Translate(C, u) → C'_{1}
38. Translate(C, Vector[(transSli2 * u)]) → C'_{2}
39. Translate(C, Vector[(transSli2 * u)]) → C'_{3}
40. Translate(D, Vector[(transSli2 * u)]) → D'_{1}
41. Point(s11) → E
42. Point(s21) → F
43. Rotate(A'_{1}, (rotAng * rotSli), V) → G
44. Rotate(B'_{1}, (rotAng * rotSli), V) → H
45. Rotate(B'_4, (rotAng * rotSli), V) → S
46. Rotate(B''_{3}, (rotAng * rotSli), V) → T
47. Segment(G, H) → s11''
48. Segment(A'', B''') → s12''
49. Segment(C'_{2}, D'_{1}) → s21'
50. Segment(C'_{3}, D'') → s22'
51. Angle(D'_{1}, C'_{2}, D'') → β
52. Angle(H, A', B''') → α'
53. Angle(D'_{1} + (2, 0), A', B''' + (0, 2)) → γ
54. SelectedIndex(dropdown) → index
55. CircleArc(A', D'_{1} - (0.4, 0), B''') → d
56. Point(d) → I
57. Segment(A', I) → seg
58. CircleArc(A', D'_{1} - (0.23, 0), B''') → e
59. Mirror(I, e) → I'
60. Segment(I, I') → seg2
61. Angle(I', A', B''') → α''
62. Angle(D'_{1}, A', I') → β'
63. SpeechBubbleLeft(PBubble, 12.4, 1.9) → poly1_1
64. Textfield(input1) → InputBox1
65. Segment(G + (Distance[G, I] * (cos(Angle[G + (1, 0), G, I] + arrowCircleDistance + arrowCircleAngle), sin(Angle[G + (1, 0), G, I] + arrowCircleDistance + arrowCircleAngle))), G + (Distance[G, I] * (cos(Angle[G + (1, 0), G, I] + arrowCircleDistance + arrowCircleAngle), sin(Angle[G + (1, 0), G, I] + arrowCircleDistance + arrowCircleAngle))) + (arrowCircleLength * UnitOrthogonalVector[Vector[G, G + (Distance[G, I] * (cos(Angle[G + (1, 0), G, I] + arrowCircleDistance + arrowCircleAngle), sin(Angle[G + (1, 0), G, I] + arrowCircleDistance + arrowCircleAngle)))]])) → arrowCircleArrow01_{1}
66. Segment(G + (Distance[G, I] * (cos(Angle[G + (1, 0), G, I] - arrowCircleDistance - arrowCircleAngle), sin(Angle[G + (1, 0), G, I] - arrowCircleDistance - arrowCircleAngle))), G + (Distance[G, I] * (cos(Angle[G + (1, 0), G, I] - arrowCircleDistance - arrowCircleAngle), sin(Angle[G + (1, 0), G, I] - arrowCircleDistance - arrowCircleAngle))) - (arrowCircleLength * UnitOrthogonalVector[Vector[G, G + (Distance[G, I] * (cos(Angle[G + (1, 0), G, I] - arrowCircleDistance - arrowCircleAngle), sin(Angle[G + (1, 0), G, I] - arrowCircleDistance - arrowCircleAngle)))]])) → arrowCircleArrow01