三视图与角度关系

GeoGebra 命令及参数

1. Circle(rotateUDc, rotateUD0) → d
2. Point(d) → rotateUD
3. Angle(rotateUD0, rotateUDc, rotateUD) → β
4. Circle(rotateLRc, rotateLR0) → c
5. Point(c) → rotateLR
6. Angle(rotateLR0, rotateLRc, rotateLR) → α
7. Segment(rotateLRc, rotateLR0) → a
8. Segment(rotateLRc, rotateLR) → b
9. Segment(rotateUDc, rotateUD0) → e
10. Segment(rotateUDc, rotateUD) → f
11. Vector(O, O + (0.0, sin(β + δ * front - β * top))) → Oz
12. Vector(O, O + (-1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * sin(α + γ * front + γ * top), cos(α + γ * front + γ * top) * cos(β + δ * front - β * top))) → Oy
13. Vector(O, O + (cos(α + γ * front + γ * top), sin(α + γ * front + γ * top) * cos(β + δ * front - β * top))) → Ox
14. Polygon(A8, A6, A5, A7) → poly1, a8, a6, a5, a7
15. Polygon(A6, A4, A3, A5) → poly2, a6_1, a4, a3, a5_1
16. Polygon(A4, A1, A2, A3) → poly3, a4_1, a1, a2, a3_1
17. Polygon(A5, A7, A9, A3) → poly4, a5_2, a7_1, a9, a3_2
18. Polygon(A3, A2, A10, A13) → poly5, a3_3, a2_1, a10, a13
19. Polygon(A13, A10, A11, A12) → poly6, a13_1, a10_1, a11, a12
20. Polygon(A9, A3, A13, A12) → poly7, a9_1, a3_4, a13_2, a12_1
21. Vector(O_2, O_2 + (cos(α + γ * front + γ * top), sin(α + γ * front + γ * top) * cos(β + δ * front - β * top))) → O_2x
22. Vector(O_2, O_2 + (-1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * sin(α + γ * front + γ * top), cos(α + γ * front + γ * top) * cos(β + δ * front - β * top))) → O_2y
23. Vector(O_2, O_2 + (0.0, sin(β + δ * front - β * top))) → O_2z
24. Vector(O_3, O_3 + (cos(α + γ * front + γ * top), sin(α + γ * front + γ * top) * cos(β + δ * front - β * top))) → O_3x
25. Vector(O_3, O_3 + (-1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * sin(α + γ * front + γ * top), cos(α + γ * front + γ * top) * cos(β + δ * front - β * top))) → O_3y
26. Vector(O_3, O_3 + (0.0, sin(β + δ * front - β * top))) → O_3z
27. Polygon(A15, A16, A17, A18) → poly8, a15, a16, a17, a18
28. Polygon(A16, A22, A25, A17) → poly9, a16_1, a22, a25, a17_1
29. Polygon(A25, A22, A23, A24) → poly10, a25_1, a22_1, a23, a24
30. Polygon(A17, A21, A19) → poly11, h, i, j
31. Polygon(A17, A25, A24, A21) → poly12, a17_2, a25_2, a24_1, a21
32. Polygon(A19, A20, A18, A17) → poly13, a19, a20, a18_1, a17_3
33. Polygon(A30, A27, A28, A29) → poly14, a30, a27, a28, a29
34. Polygon(A36, A34, A35) → poly15, a35, a36, a34
35. Polygon(A29, A33, A28) → poly16, k, l, m
36. Polygon(A31, A29, A33) → poly17, n, p, q
37. Polygon(A31, A32, A30, A29) → poly18, a31, a32, a30_1, a29_1
38. Polygon(A33, A36, A34, A28) → poly19, r, s, t, a_1
39. Polygon(A20, A18, A17, A19) → poly20, a20_1, a18_2, a17_4, a19_1
40. Polygon(A32, A30, A29, A31) → poly21, a32_1, a30_2, a29_2, a31_1
41. Polygon(A33, A28, A34, A36) → poly22, b_1, c_1, d_1, e_1