利用变换判断两个三角形是否相似 by Mark Hampton (4)

GeoGebra 命令及参数

1. If(b < c, (b * 0.25), (c * 0.25)) → HandleRadius
2. Circle(A, HandleRadius) → d
3. Point(d) → Rotate
4. Line(Rotate, A) → e
5. Circle(A, b) → f
6. Intersect(f, e, 2) → B
7. Circle(B, a) → g
8. Circle(A, c) → h
9. Intersect(g, h, 2) → C
10. Intersect(g, h, 1) → C'
11. Polygon(A, B, C) → poly1, c_1, a_1, b_1
12. OrthogonalLine(A, e) → i
13. If(b < c, (b * 0.5), (c * 0.5)) → FlipHandleRadius
14. Circle(A, FlipHandleRadius) → k
15. Intersect(k, i) → E, F
16. Segment(F, E) → j
17. Point(j) → Reflect
18. Polygon(A, B, C') → poly2, d_1, a_2, b_2
19. Segment(Reflect, C) → l
20. Segment(Reflect, C') → m
21. Segment(A, Reflect) → n
22. Segment(A, Rotate) → p
23. Polygon(M, P, T) → poly3, p_1, m_1, n_1
24. Dilate(A, dilation, A) → A'
25. Dilate(B, dilation, A) → B'
26. Dilate(C', dilation, A) → C''
27. Polygon(A', B', C'') → poly2', c'', a', b'
28. Dilate(A, dilation, A) → A'_1
29. Dilate(B, dilation, A) → B'_1
30. Dilate(C, dilation, A) → C'''
31. Polygon(A'_1, B'_1, C''') → poly1', c'_1, a'_1, b'_1
32. Circle(A, 0.2) → q
33. Intersect(d, r, 1) → D
34. Angle(Rotate, A, D) → α
35. Vector(AStartValue, A) → u