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棱柱与棱锥的展开图对比

棱柱与棱锥的展开图对比
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2016-04-12 12:21
多边形立体几何几何作图
①本范例通过动态演示棱柱与棱锥的展开图，直观对比两者在结构上的差异；②涉及的核心数学概念包括立体几何、多边形、展开图、面与体的关系；③作图要点——从下方『构造摘要』提炼用到了Point（点）、Polygon（多边形）等GeoGebra命令/对象；④适合高中阶段学生或教师用于理解三维图形的二维表示及其特性。

GeoGebra 命令及参数

  1. Point(yAxis) → A
  2. Point(yAxis) → B
  3. Polygon(A, B, C, D) → poly1, a, b, c, d
  4. Polygon(D, E, F, C) → poly2, d_1, e, f, c_1
  5. Polygon(F, G, H, E) → poly3, f_1, g, h, e_1
  6. Polygon(F, I, J, C) → poly4, f_2, i, j, c_2
  7. Polygon(E, K, L, D) → poly5, e_2, k, l, d_2
  8. Polygon(A, M, N, B) → poly6, a_1, m, n, b_1
  9. Polygon(O, P, Q, R) → poly7, o, p, q, r
  10. Polygon(P, S, O) → poly8, o_1, p_1, s
  11. Polygon(P, T, Q) → poly9, q_1, p_2, t
  12. Polygon(Q, U, R) → poly10, r_1, q_2, u
  13. Polygon(R, V, O) → poly11, o_2, r_2, v
  14. Polygon(W, Z, A_1) → poly12, a_2, w, z_1
  15. Polygon(W, B_1, A_1) → poly13, a_3, w_1, b_2
  16. Polygon(A_1, C_1, Z) → poly14, z_2, a_4, c_3
  17. Polygon(Z, W, D_1) → poly15, d_3, z_3, w_2
  18. Polygon(E_1, F_1, G_1, H_1) → poly16, e_3, f_3, g_1, h_1
  19. Polygon(E_1, I_1, H_1) → poly17, h_2, e_4, i_1
  20. Polygon(F_1, G_1, J_1) → poly18, j_1, f_4, g_2
  21. Polygon(F_1, K_1, L_1, E_1) → poly19, f_5, k_1, l_1, e_5
  22. Polygon(G_1, M_1, N_1, H_1) → poly20, g_3, m_1, n_1, h_3