动画演示内切圆与三维向量

GeoGebra 命令及参数

1. Semicircle(A, B) → d
2. Point(d) → C
3. Segment(C, B) → f
4. Segment(A, C) → e
5. Segment(A, B) → a
6. Min(a, f) → m
7. Min(a, e) → l
8. Min(l, m) → n
9. Midpoint(a) → C_1
10. OrthogonalLine(C_1, a) → b
11. Circle(C_1, A) → c
12. OrthogonalLine(C, a) → g
13. Intersect(g, a) → E
14. Segment(C, E) → h
15. Circle(A, (0.2 * n)) → k
16. Circle(C, (0.2 * n)) → p
17. Circle(B, (0.2 * n)) → q
18. Intersect(p, h, 1) → I
19. Intersect(p, f, 1) → J
20. Intersect(q, a, 1) → K
21. Intersect(q, f, 1) → L
22. Intersect(k, a, 1) → M
23. Intersect(k, e, 1) → N
24. CircleSector(A, M, N) → r
25. Dilate(C, If[-2 < i < -1, -1 - i, 0], E) → D'
26. Dilate(A, If[-0.5 < i ≤ 0.5, 0.5 - i, 0], C) → A'
27. Vector(A, A') → u
28. Dilate(B, If[1.5 < i ≤ 2.5, 2.5 - i, 0], C) → B'
29. Vector(B, B') → v
30. Polygon(A, B, C) → poly3, d_3, a_2, b_2
31. Angle(C, B, A) → δ
32. Rotate(C, δ / 2, B) → C'
33. Angle(C, B, C') → ε
34. Ray(B, C') → h_1
35. Intersect(e, h_1) → D
36. Angle(B, A, C) → ζ
37. Rotate(B, ζ / 2, A) → B'_1
38. Angle(B, A, B'_1) → η
39. Ray(A, B'_1) → i_1
40. Intersect(f, i_1) → O
41. Intersect(h_1, i_1) → P
42. Intersect(q, h_1, 1) → Q
43. Intersect(q, f, 1) → R
44. Intersect(k, a, 1) → S
45. Intersect(k, i_1, 1) → T
46. CircleSector(A, S, T) → c_1
47. CircleSector(B, R, Q) → k_1
48. Polygon(A, B, C) → poly1, c_2, a_1, b_1
49. OrthogonalLine(P, a) → j
50. Intersect(a, j) → F
51. Angle(P, F, A) → α
52. Line(B, C) → j_1
53. Circle(C, 1) → d_1
54. Intersect(d_1, j_1, 2) → G
55. Ray(C, G) → l_1
56. Circle(C, (0.5 * Radius[k])) → e_1
57. Intersect(e_1, e, 1) → H
58. Intersect(e_1, l_1, 1) → U
59. CircleSector(C, U, H) → p_1
60. Rotate(p_1, If[0 < i ≤ 1, (i * π / 2), π / 2], C) → s
61. Dilate(A, If[1 < i ≤ 2, 2 - i, 0], P) → A'_1
62. Dilate(B, If[1 < i ≤ 2, 2 - i, 0], P) → B'_2
63. Segment(A, T) → t
64. Segment(B, B'_2) → f_1
65. Segment(A, A'_1) → g_1
66. OrthogonalLine(P, g_1) → m_1
67. Line(C, m_1) → n_1
68. Line(C, g_1) → q_1
69. Rotate(k_1, If[2.5 < i ≤ 3.5, ((i - 2.5) * ε), ε], B) → r_1
70. Rotate(c_1, If[3.5 < i ≤ 4.5, ((i - 3.5) * ζ / 2), ζ / 2], A) → s_1
71. Intersect(m_1, a) → V
72. Dilate(P, If[4.5 < i ≤ 5.5, 5.5 - i, 0], V) → P'
73. Segment(P, P') → t_1
74. Dilate(C, If[5.5 < i ≤ 6.5, 6.5 - i, 0], P) → C'_1
75. Vector(C, C'_1) → u_1
76. Translate(s, u_1) → s'
77. Point(q_1) → W
78. Angle(W, C, A) → β
79. Rotate(s', If[6.5 < i ≤ 7.5, ((-(i - 6.5)) * β), (-β)], P) → s''
80. Segment(C, B) → g_2
81. OrthogonalLine(V, l_1) → h_2
82. Line(C, B) → i_2
83. Intersect(i_2, h_2) → Z
84. Dilate(V, If[7.5 < i ≤ 8.5, 8.5 - i, 0], Z) → V'
85. Segment(V, V') → j_2
86. Dilate(C, If[8.5 < i ≤ 9.5, 9.5 - i, 0], Z) → C'_2
87. Vector(C, C'_2) → v_1
88. Translate(s, v_1) → s'_1
89. Line(A, C) → k_2
90. OrthogonalLine(P, k_2) → l_2
91. Intersect(k_2, l_2) → A_1
92. Dilate(P, If[9.5 < i ≤ 10.5, 10.5 - i, 0], A_1) → P'_1
93. Segment(P, P'_1) → f_2
94. Dilate(C, If[10.5 < i ≤ 11.5, 11.5 - i, 0], A_1) → C'_3
95. Vector(C, C'_3) → w_1
96. Translate(s, w_1) → s'_2
97. Dilate(A_1, If[11.5 < i ≤ 12.5, 12.5 - i, 0], C) → B_1
98. Vector(A_1, B_1) → u_2
99. Translate(P, u_2) → P'_2
100. Translate(P'_1, u_2) → D_1
101. Segment(P'_2, D_1) → m_2
102. Dilate(A_1, If[12.5 < i ≤ 13.5, 13.5 - i, 0], P'_2) → E_1
103. Vector(A_1, E_1) → v_2
104. Translate(P, v_2) → P'_3
105. Translate(P'_1, v_2) → F_1
106. Segment(P'_3, F_1) → n_2