三棱柱的截面探究

GeoGebra 命令及参数

1. Polygon(B + (-2, -2), B + (2, -2), B + (2, 2), B + (-2, 2)) → poly3, e, f, g, i
2. PointIn(poly3) → C
3. Translate((0, 0, 0), Vector[B, C]) → A
4. Polygon(A + (-4, -4), A + (4, -4), A + (4, 4), A + (-4, 4)) → poly1, a, b, c, d
5. Rotate(Rotate[Translate[poly1, Vector[A, A + (0, 0, h)]], (90° * s), A + (0, 0, h), yAxis], (90° * t), A, zAxis) → poly2
6. Rotate(D, 120°, (0, 0, 0)) → E
7. Polygon(D, E, 3, xOyPlane) → poly4, j, k, l, F
8. Prism(poly4, D + (0, 0, 4)) → m, M, edge4, edge5, edge6, N, face1, face2, face3, face4, edge1, edge2, edge3
9. PointIn(poly2) → G
10. PointIn(poly2) → H
11. PointIn(poly2) → I
12. Plane(G, I, H) → n
13. IntersectPath(n, m) → poly6, poly5, r, a_1, b_1, c_1, K, L_1, O, P, J, L, p, q
14. Rotate(m, 0, zAxis) → m'
15. Rotate(m, 0, zAxis) → m'_1
16. OrthogonalLine(A, n) → d_1