圆周与切线几何构造的“奖杯”立体（图2）

GeoGebra 命令及参数

1. Polygon(A, B, C, D) → q1, a, b, c, d
2. Polygon(E, F, G, H) → q2, e, f, g, h
3. Prism(q1, 1.5) → j, M, edgeAM, edgeBN, edgeCO, edgeDP, edgeMN, edgeNO, edgeOP, edgeMP, N, O, P, faceABNM, faceBCON, faceCDPO, faceADPM, faceMNOP
4. Prism(q2, 0.2) → k, Q, edgeEQ, edgeFR, edgeGS, edgeHT, edgeQR, edgeRS, edgeST, edgeQT, R, S, T, faceEFRQ, faceFGSR, faceGHTS, faceEHTQ, faceQRST
5. Intersect(zAxis, faceMNOP) → I
6. Point(zAxis) → J
7. Cylinder(I, J, 0.5) → i, p, q, l
8. Rotate(t, 90°, xAxis) → t_{1}
9. Surface(t_{1}, 360°, zAxis) → m
10. Point(t) → K
11. Point(t) → L
12. Rotate(K, 90°, xAxis) → K'
13. Rotate(L, 90°, xAxis) → L'
14. Rotate(V, 90°, xAxis) → V'
15. Rotate(U, 90°, xAxis) → U'
16. CircumcircleArc(K', U', V') → r
17. CircumcircleArc(K, U, V) → s
18. CircumcircleArc(V, W, L) → c_1
19. Rotate(W, 90°, xAxis) → W'
20. CircumcircleArc(V', W', L') → d_1
21. Rotate(r, 180°, zAxis) → r'
22. Rotate(d_1, 180°, zAxis) → e_1
23. Rotate(L', -180°, zAxis) → L''
24. Rotate(K', -180°, zAxis) → K''