ASA三角形全等判定的几何构造演示

GeoGebra 命令及参数

1. Circle(A, a) → c
2. Circle(B, a) → d
3. Circle(A, b) → e
4. Circle(B, b) → f
5. Point(c) → D
6. Point(d) → E
7. Segment(A, D) → g
8. Segment(B, E) → h
9. Rotate(D, α, A) → D'
10. Angle(D, A, D') → β
11. Rotate(E, α, B) → E'
12. Angle(E, B, E') → γ
13. Segment(A, D') → i
14. Segment(B, E') → j
15. Intersect(e, i) → C,
16. Intersect(f, j) → F,
17. Segment(A, C) → k
18. Segment(C, D) → l
19. Segment(B, F) → m
20. Segment(F, E) → n
21. Segment(A, B) → p
22. Circle(A, ((a + b) * 0.15)) → q
23. Intersect(q, g) → G,
24. Intersect(i, k) → H
25. Intersect(q, k) → I,
26. CircleSector(A, G, I) → r
27. Line(A, h) → s
28. Angle(s, g) → δ
29. Dilate(A, If[2 < o ≤ 3, 3 - o, 0], B) → A'_1
30. Vector(A, A'_1) → v
31. Translate(r, v) → r'
32. Translate(A, v) → A'_2
33. Translate(C, v) → C'
34. Segment(A'_2, C') → k'
35. Line(A, m) → t
36. Angle(t, k) → ε
37. Rotate(r', If[3 < o ≤ 4, ((-(o - 3)) * ε), (-ε)], B) → r''
38. Rotate(A'_2, If[3 < o ≤ 4, ((-(o - 3)) * ε), (-ε)], B) → K
39. Rotate(C', If[3 < o ≤ 4, ((-(o - 3)) * ε), (-ε)], B) → C''
40. Segment(K, C'') → k''
41. Dilate(A, If[4 < o ≤ 5, 5 - o, 0], B) → A'_3
42. Polygon(A, D, C) → t1, c_1, a_1, d_1
43. Polygon(B, E, F) → t2, f_1, b_1, e_1
44. Vector(A, A'_3) → w
45. Translate(A, w) → A'_4
46. Translate(D, w) → D'_3
47. Translate(C, w) → C'_1
48. Polygon(A'_4, D'_3, C'_1) → t1', c'_1, a'_4, d'_3
49. Rotate(A'_4, If[5 < o ≤ 6, ((-(o - 5)) * δ), (-δ)], B) → L
50. Rotate(D'_3, If[5 < o ≤ 6, ((-(o - 5)) * δ), (-δ)], B) → M
51. Rotate(C'_1, If[5 < o ≤ 6, ((-(o - 5)) * δ), (-δ)], B) → N
52. Polygon(L, M, N) → t1'', n_1, l_1, m_1
53. Circle(C, ((a + b) * 0.15)) → g_1
54. Intersect(l, a_1) → Q
55. Intersect(l, a_1) → R
56. Intersect(l, a_1) → S
57. Intersect(g_1, l) → T,
58. Intersect(g_1, k) → U,
59. CircleSector(C, U, T) → h_1
60. Dilate(C, If[0 < o ≤ 1, 1 - o, 0], F) → C'_2
61. Vector(C, C'_2) → u
62. Translate(h_1, u) → k_1
63. Rotate(k_1, If[1 < o ≤ 2, ((-(o - 1)) * δ), (-δ)], F) → p_1