演示缩放对体积的影响

GeoGebra 命令及参数

1. Point(Circle[A, L]) → B
2. Segment(A, B) → a
3. OrthogonalLine(A, a) → b
4. OrthogonalLine(B, a) → c
5. Circle(A, W) → d
6. Circle(B, W) → e
7. Intersect(d, b) → C, D
8. Intersect(e, c) → E, F
9. Polygon(D, A, B, F) → poly1, d_1, a_1, b_1, f
10. Rotate(B, 135°, F) → B'
11. Angle(B, F, B') → α
12. Rotate(A, 135°, D) → A'
13. Angle(A, D, A') → β
14. Rotate(F, 315°, B) → F'
15. Angle(F', B, F) → γ
16. Rotate(D, 315°, A) → D'
17. Angle(D', A, D) → δ
18. Ray(D, A') → g
19. Ray(A, D') → h
20. Ray(F, B') → i
21. Ray(B, F') → j
22. Circle(D, H) → k
23. Intersect(k, g) → G,
24. Circle(A, H) → p
25. Intersect(p, h) → I,
26. Circle(F, H) → q
27. Intersect(q, i) → J,
28. Circle(B, H) → r
29. Intersect(r, j) → K,
30. Polygon(G, I, K, J) → poly2, g_1, i_1, k_1, j_1
31. Polygon(D, G, I, A) → poly3, d_2, g_2, i_2, a_2
32. Polygon(J, K, B, F) → poly4, j_2, k_2, b_2, f_1
33. Polygon(G, D, F, J) → poly5, g_3, d_3, f_2, j_3
34. Polygon(A, I, K, B) → poly6, a_3, i_3, k_3, b_3
35. Text(VOLUME) → text1
36. Dilate(D, Ratio, M) → D'_1
37. Dilate(A, Ratio, M) → A'_1
38. Dilate(B, Ratio, M) → B'_1
39. Dilate(F, Ratio, M) → F'_1
40. Polygon(D'_1, A'_1, B'_1, F'_1) → poly1', d'_1, a'_1, b'_1, f'_1
41. Dilate(G, Ratio, M) → G'
42. Dilate(I, Ratio, M) → I'
43. Dilate(K, Ratio, M) → K'
44. Dilate(J, Ratio, M) → J'
45. Polygon(G', I', K', J') → poly2', g', i', k', j'
46. Dilate(D, Ratio, M) → D'_2
47. Dilate(G, Ratio, M) → G'_1
48. Dilate(I, Ratio, M) → I'_1
49. Dilate(A, Ratio, M) → A'_2
50. Polygon(D'_2, G'_1, I'_1, A'_2) → poly3', d'_2, g'_1, i'_1, a'_2
51. Dilate(J, Ratio, M) → J'_1
52. Dilate(K, Ratio, M) → K'_1
53. Dilate(B, Ratio, M) → B'_2
54. Dilate(F, Ratio, M) → F'_2
55. Polygon(J'_1, K'_1, B'_2, F'_2) → poly4', j'_1, k'_1, b'_2, f'_2
56. Dilate(G, Ratio, M) → G'_2
57. Dilate(D, Ratio, M) → D'_3
58. Dilate(F, Ratio, M) → F'_3
59. Dilate(J, Ratio, M) → J'_2
60. Polygon(G'_2, D'_3, F'_3, J'_2) → poly5', g'_2, d'_3, f'_3, j'_2
61. Dilate(A, Ratio, M) → A'_3
62. Dilate(I, Ratio, M) → I'_2
63. Dilate(K, Ratio, M) → K'_2
64. Dilate(B, Ratio, M) → B'_3
65. Polygon(A'_3, I'_2, K'_2, B'_3) → poly6', a'_3, i'_2, k'_2, b'_3
66. Distance(a_1, k_2) → l
67. Distance(k_1, a'_1) → m
68. Distance(k'_1, k') → n
69. Text(ADJ) → text4