三棱锥的展开图

GeoGebra 命令及参数

1. Tetrahedron(A, B, xOyPlane) → a, C, edgeAD_1, edgeCD, edgeBD_1, D, faceABC, faceACD, faceABD, faceBCD, edgeAC, edgeAB, edgeBC
2. Tetrahedron(D, B, xOyPlane) → c, E, edgeDF, edgeEF, edgeBF, F, faceBDE, faceDEF, faceBDF, faceBEF, edgeDE, edgeBD_2, edgeBE
3. OrthogonalPlane(D, edgeAB) → d
4. IntersectPath(d, xOyPlane) → e
5. IntersectPath(d, faceABD) → f
6. Intersect(d, faceABD) → I, J
7. Angle(f, e) → α
8. Rotate(faceABD, (t * α), edgeAB) → faceABD'
9. OrthogonalLine(D, xOyPlane) → g
10. Rotate(faceABD', 120°, g) → faceABD''
11. Rotate(faceABD'', 120°, g) → faceABD'''
12. Polygon(A, B, C) → poly1, c_1, a_1, b_1
13. Rotate(D, (t * α), edgeAB) → D'
14. Rotate(A, (t * α), edgeAB) → A'
15. Segment(D', A') → h
16. Rotate(Rotate[faceACD, (t * α), edgeAB], (-((t * α))), h) → faceACD''
17. Rotate(Segment[Rotate[C, (t * α), edgeAB], Rotate[D, (t * α), edgeAB]], (-((t * α))), h) → i
18. Rotate(Rotate[Rotate[faceBCD, (t * α), edgeAB], (-((t * α))), h], (t * α), i) → poly2
19. Rotate(Rotate[Rotate[C, (t * α), edgeAB], (-((t * α))), h], (t * α), i) → K
20. Rotate(Rotate[Rotate[B, (t * α), edgeAB], (-((t * α))), h], (t * α), i) → L
21. Segment(K, A) → j
22. Segment(K, D') → k
23. Segment(D', L) → l
24. Segment(L, K) → m
25. Segment(D', B) → n
26. Rotate(D', 120°, g) → D''
27. Rotate(D', (-(120°)), g) → D''_1
28. Segment(D', B) → p
29. Segment(B, D'') → q
30. Segment(D'', C) → r
31. Segment(C, D''_1) → s
32. Segment(D''_1, A) → d_1
33. Segment(A', D') → e_1