凹面镜反射现象与几何作图

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → O
2. CircleArc(MC, Mt, Mb) → Mirror
3. Intersect(Mirror, l1, 1) → Mp1
4. Intersect(Mirror, l2, 1) → Mp2
5. Segment(Mp1, MC) → r1
6. Segment(Mp2, MC) → r2
7. Angle(l1, r1) → α1
8. Angle(l2, r2) → α2
9. Point(r1) → R1p
10. Point(r2) → R2p
11. Rotate(R1p, (-α1), Mp1) → R1p'
12. Ray(Mp1, R1p') → ryRt_1
13. Rotate(R2p, (-α2), Mp2) → R2p'
14. Ray(Mp2, R2p') → ryRt_2
15. Intersect(Mirror, l3, 1) → Mp3
16. Intersect(Mirror, l4, 1) → Mp4
17. Intersect(Mirror, l5, 1) → Mp5
18. Segment(Mp3, MC) → r3
19. Segment(Mp4, MC) → r4
20. Segment(Mp5, MC) → r5
21. Point(r3) → R3p
22. Point(r4) → R4p
23. Point(r5) → R5p
24. Angle(l3, r3) → α3
25. Angle(l4, r4) → α4
26. Angle(l5, r5) → α5
27. Rotate(R3p, (-α3), Mp3) → R3p'
28. Rotate(R4p, (-α4), Mp4) → R4p'
29. Ray(Mp3, R3p') → ryRt_3
30. Ray(Mp4, R4p') → ryRt_4
31. Rotate(R5p, (-α5), Mp5) → R5p'
32. Ray(Mp5, R5p') → ryRt_5
33. Intersect(Mirror, j5, 1) → Mq5
34. Intersect(Mirror, j4, 1) → Mq4
35. Intersect(Mirror, j3, 1) → Mq3
36. Intersect(Mirror, j2, 1) → Mq2
37. Intersect(Mirror, j1, 1) → Mq1
38. Segment(Mq5, MC) → r5b
39. Segment(Mq4, MC) → r4b
40. Segment(Mq3, MC) → r3b
41. Segment(Mq2, MC) → r2b
42. Segment(Mq1, MC) → r1b
43. Point(r5b) → R5pb
44. Point(r4b) → R4pb
45. Point(r3b) → R3pb
46. Point(r2b) → R2pb
47. Point(r1b) → R1pb
48. Rotate(R1pb, α1, Mq1) → R1pb'
49. Ray(Mq1, R1pb') → ryRb_1
50. Rotate(R2pb, α2, Mq2) → R2pb'
51. Ray(Mq2, R2pb') → ryRb_2
52. Rotate(R3pb, α3, Mq3) → R3pb'
53. Ray(Mq3, R3pb') → ryRb_3
54. Rotate(R4pb, α4, Mq4) → R4pb'
55. Ray(Mq4, R4pb') → ryRb_4
56. Rotate(R5pb, α5, Mq5) → R5pb'
57. Ray(Mq5, R5pb') → ryRb_5
58. Point(l1) → Dt1
59. Point(l2) → Dt2
60. Point(l3) → Dt3
61. Point(l4) → Dt4
62. Point(l5) → Dt5
63. Point(j5) → Db5
64. Point(j4) → Db4
65. Point(j3) → Db3
66. Point(j2) → Db2
67. Point(j1) → Db1
68. Segment(Dt1, Mp1) → ryIt_1
69. Segment(Dt2, Mp2) → ryIt_2
70. Segment(Dt3, Mp3) → ryIt_3
71. Segment(Dt4, Mp4) → ryIt_4
72. Segment(Dt5, Mp5) → ryIt_5
73. Segment(Db1, Mq1) → ryIb_1
74. Segment(Db2, Mq2) → ryIb_2
75. Segment(Db3, Mq3) → ryIb_3
76. Segment(Db4, Mq4) → ryIb_4
77. Segment(Db5, Mq5) → ryIb_5
78. Parabola(F, dir) → g