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棱柱的构造与演示

棱柱的构造与演示
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2017-02-17 00:20
解析几何立体几何几何作图
①本范例通过 GeoGebra 动态演示棱柱的几何构造与性质；②涉及的核心数学概念包括多边形、立体几何、解析几何；③作图要点——使用了 Polygon（多边形）、Segment（线段）、Intersect（交点）、Point（点）等命令，以及 A, B, C, D, poly1, a, b, c, d, E, F, G, H, poly2, e, f, g, h, i, j, k, I, J, l, K, L, M, N, O, P, Q, R, poly3, o, p, q, r, O_1, P_1, Q_1 等对象；④适合高中立体几何教学或几何作图练习。

GeoGebra 命令及参数

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(E, F, G, H) → poly2, e, f, g, h
  3. Segment(F, C) → i
  4. Segment(G, B) → j
  5. Segment(H, A) → k
  6. Intersect(e, h) → I
  7. Intersect(c, d) → J
  8. Segment(I, J) → l
  9. Point(Circle[K, 2.24]) → L
  10. Point(Circle[L, 1]) → M
  11. Point(Circle[M, 2.24]) → N
  12. Polygon(O, P, Q, R) → poly3, o, p, q, r
  13. Polygon(O_1, P_1, Q_1, R_1) → poly3_1, o_1, p_1, q_1, r_1
  14. Segment(P_1, P) → m
  15. Segment(Q_1, Q) → n
  16. Segment(O_1, O) → s
  17. Segment(R_1, R) → t
  18. Segment(T, U) → a_1
  19. Segment(T_1, U_1) → a_2
  20. Polygon(S, T, U, U_1) → poly4, s_1, t_1, u, u_1
  21. Segment(T_2, U_2) → a_3
  22. Polygon(S_1, T_2, U_2, U_3) → poly4_1, s_2, t_2, u_2, u_3
  23. Segment(U_2, T_2) → b_1
  24. Segment(U_3, S_1) → c_1
  25. Segment(S_1, S) → d_1
  26. Segment(U_3, U_1) → e_1
  27. Segment(U_2, U) → f_1
  28. Segment(T_2, T) → g_1
  29. Polygon(V, W, Z) → poly5, z_1, v, w
  30. Polygon(V_1, W_1, Z_1) → poly5_1, z_2, v_1, w_1
  31. Segment(W_1, W) → h_1
  32. Segment(Z_1, Z) → i_1
  33. Segment(V_1, V) → j_1
  34. Polygon(A_1, B_1, C_1) → poly6, c_2, a_4, b_2
  35. Polygon(A_2, B_2, C_2) → poly6_1, c_3, a_5, b_3
  36. Segment(C_1, C_2) → k_1
  37. Segment(B_1, B_2) → l_1
  38. Segment(A_1, A_2) → m_1