矩形模板：探索矩形性质与几何构造

GeoGebra 命令及参数

1. Segment(A, B) → a
2. OrthogonalLine(A, a) → b
3. OrthogonalLine(B, a) → c
4. Point(b) → D
5. OrthogonalLine(D, b) → d
6. Intersect(c, d) → C
7. Segment(D, A) → e
8. Segment(D, C) → f
9. Segment(C, B) → g
10. Angle(C, B, A) → α
11. Angle(B, A, D) → β
12. Angle(A, D, C) → γ
13. Angle(D, C, B) → δ
14. Midpoint(D, B) → M
15. Segment(D, M) → h
16. Segment(M, B) → i
17. Segment(A, M) → j
18. Segment(M, C) → k
19. Angle(B, A, M) → ε
20. Angle(M, B, A) → ζ
21. Angle(D, C, M) → η
22. Angle(M, D, C) → θ
23. Angle(A, D, M) → ι
24. Angle(M, A, D) → κ
25. Angle(C, B, M) → λ
26. Angle(M, C, B) → μ
27. Polygon(A, B, C) → poly1, c_1, a_1, b_1
28. Line(A, C) → n
29. Mirror(A, n) → A'
30. Mirror(B, n) → B'
31. Mirror(C, n) → C'
32. Polygon(A', B', C') → poly_2, c', a', b'
33. Polygon(D, A, B) → poly2, b_2, d_1, a_2
34. Mirror(D, a_2) → D'
35. Mirror(A, a_2) → A'_1
36. Mirror(B, a_2) → B'_1
37. Polygon(D', A'_1, B'_1) → poly2', b'_1, d', a'_1
38. Polygon(A, B, C, D) → poly3, a_3, b_3, c_2, d_2
39. Segment(A, C) → q
40. Segment(D, B) → t