2016年11月2日NCTM数学教师日历问题

GeoGebra 命令及参数

1. Line(C, B_1) → a
2. OrthogonalLine(C, a) → d
3. OrthogonalLine(B_1, a) → e
4. Point(d) → C_1
5. Ray(C, C_1) → c
6. Point(d) → E
7. Ray(C, E) → b
8. Ray(C, B_1) → g
9. Point(g) → F
10. Ray(C, F) → h
11. Point(h) → B
12. Ray(C, E) → i
13. Point(i) → A
14. Midpoint(A, B) → M
15. Segment(C, A) → j
16. Segment(C, B) → k
17. Circle(C, Min[(0.15 * j), (0.15 * k)]) → p
18. Intersect(p, a, 2) → I
19. Intersect(p, i, 1) → J
20. Intersect(p, a, 1) → K
21. CircleSector(C, J, K) → q
22. Polygon(C, B, A) → poly1, h_1, a_1, g_1
23. Rotate(q, If[0 < f ≤ 1, ((-f) * π / 2), -1.5707963267948966], C) → q'
24. Dilate(B, If[1 < f ≤ 2, 2 - f, 0], M) → G'
25. Rotate(B, If[2 < f ≤ 3, ((f - 2) * π), 3.141592653589793], M) → G'_1
26. Rotate(G', If[2 < f ≤ 3, ((f - 2) * π), 3.141592653589793], M) → G''
27. Angle(A, M, C) → α
28. Rotate(G'_1, If[3 < f ≤ 4, ((f - 3) * α), α], M) → L
29. Rotate(G'', If[3 < f ≤ 4, ((f - 3) * α), α], M) → G'''
30. Rotate(B, 45°, C) → G'_2
31. Angle(B, C, G'_2) → β
32. Ray(C, G'_2) → m
33. Segment(B, A) → n
34. Intersect(m, n) → D
35. OrthogonalLine(C, n) → r
36. Intersect(r, n) → P
37. Segment(C, P) → s
38. Segment(C, M) → t
39. Segment(C, D) → f_1
40. Circle(P, (0.06 * n)) → c_1
41. Intersect(c_1, s, 1) → O
42. Intersect(c_1, n, 2) → P_1
43. CircleSector(P, P_1, O) → d_1
44. Dilate(C, If[1 < f ≤ 2, 2 - f, 0], D) → A'
45. Segment(C, A') → l
46. Circle(C, Radius[p]) → e_1
47. Intersect(e_1, f_1) → Q,
48. Intersect(e_1, j) → R,
49. CircleSector(C, Q, R) → k_1
50. Rotate(k_1, If[3 < f ≤ 4, ((-(f - 3)) * π / 4), ((-π)) / 4], C) → p_1
51. Dilate(C, If[4.5 < f ≤ 5.5, 5.5 - f, 0], P) → A'_1
52. Segment(C, A'_1) → i_1
53. Rotate(d_1, If[6.25 < f ≤ 7.25, ((f - 6.25) * π / 2), π / 2], P) → q_1
54. Dilate(B, If[8 < f ≤ 9, 9 - f, 0], M) → G'_3
55. Rotate(B, If[9 < f ≤ 10, ((-(f - 9)) * π), (-π)], M) → G'_4
56. Rotate(G'_3, If[9 < f ≤ 10, ((-(f - 9)) * π), (-π)], M) → S
57. Dilate(A, If[8 < f ≤ 9, 9 - f, 0], M) → H'
58. Segment(A, H') → j_1
59. Angle(A, M, C) → γ
60. Rotate(A, If[9 < f ≤ 10, ((f - 9) * γ), γ], M) → H'_1
61. Rotate(H', If[9 < f ≤ 10, ((f - 9) * γ), γ], M) → H''
62. Segment(H'_1, H'') → l_1
63. Rotate(H'_1, If[10 < f ≤ 11, ((f - 10) * (π - γ)), π - γ], M) → T
64. Rotate(H'', If[10 < f ≤ 11, ((f - 10) * (π - γ)), π - γ], M) → H'''
65. Segment(T, H''') → m_1
66. Intersect(e_1, s, 1) → U
67. Intersect(e_1, f_1, 1) → V
68. CircleSector(C, V, U) → r_1
69. Angle(V, C, U) → δ
70. Rotate(r_1, If[11.75 < f ≤ 12.75, ((-(f - 11.75)) * δ), (-δ)], C) → s_1
71. Segment(A, P) → n_1
72. Intersect(e_1, l, 1) → W
73. Intersect(e_1, l_1, 1) → Z
74. CircleSector(C, W, Z) → t_1
75. Rotate(t_1, If[11.75 < f ≤ 12.75, ((-(f - 11.75)) * ((2 * π) - δ)), (-((2 * π) - δ))], C) → c_2