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正方体的截面

正方体的截面
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2019-05-24 02:18
解析几何立体几何几何作图
这个范例演示了正方体的不同截面。它涉及立体几何中的截面概念，通过使用GeoGebra中的Cube, Polygon, PointIn, Translate, Rotate等命令，可以动态展示正方体在不同平面切割下的截面形状。适合初中及以上学生或教师用于教学和学习。

GeoGebra 命令及参数

  1. Cube((-1.5, -1.5, 0), (1.5, -1.5, 0), xOyPlane) → m, M, face4, face5, face6, edge1, edge2, edge3, edge4, edge5, edge6, edge7, N, edge8, edge9, edge10, edge11, edge12, Q, R, S, T, face1, face2, face3
  2. Polygon(B + ((-2), (-2)), B + (2, (-2)), B + (2, 2), B + ((-2), 2)) → poly3, e, f, g, i
  3. PointIn(poly3) → C
  4. Translate((0, 0, 0), Vector[B, C]) → A
  5. Polygon(A + ((-4), (-4)), A + (4, (-4)), A + (4, 4), A + ((-4), 4)) → poly1, a, b, c, d
  6. Rotate(Rotate[Translate[poly1, Vector[A, A + (0, 0, h)]], (90° * s), A + (0, 0, h), yAxis], (90° * t), A, zAxis) → poly2
  7. Rotate(D, 120*°, (0, 0, 0)) → E
  8. Polygon(D, E, 3, xOyPlane) → poly4, j, k, l, F
  9. Point(list1) → G
  10. Point(list2) → H
  11. Point(list3) → I
  12. Plane(G, I, H) → n
  13. IntersectPath(n, m) → poly6, poly5, V, p, q, r, a_1, b_1, c_1, e_1, f_1, poly7, K, L_1, O, P, J, L, U
  14. Rotate(m, 0, zAxis) → m'
  15. Rotate(m, 0, zAxis) → m'_1
  16. OrthogonalLine(A, n) → d_1