两立方体之差

两立方体之差
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2016-03-19 12:31
这个范例演示了两个立方体之差的几何图形。核心数学概念包括立方体、差值和斜率。通过使用GeoGebra命令如Intersect、Point、Polygon等,可以构造出复杂的几何图形。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Intersect(yAxis, xAxis) → A
  2. Point(yAxis) → B
  3. Point(yAxis) → C
  4. Point(xAxis) → D
  5. Point(xAxis) → E
  6. Point(zAxis) → J
  7. Point(zAxis) → K
  8. Intersect(yAxis, zAxis) → M
  9. Polygon(D, F, B, A) → poly1, d, f, b, a
  10. Polygon(F, B, C, G) → poly2, f_1, b_1, c, g
  11. Polygon(H, F, G, I) → poly3, h, f_2, g_1, i
  12. Polygon(E, D, F, H) → poly4, e, d_1, f_3, h_1
  13. Polygon(D, L, J, A) → poly5, d_2, l, j, a_1
  14. Polygon(J, N, B, A) → poly6, j_1, n, b_2, a_2
  15. Polygon(L, O, F, D) → poly7, l_1, o, f_4, d_3
  16. Polygon(O, N, B, F) → poly8, o_1, n_1, b_3, f_5
  17. Polygon(L, J, N, O) → poly9, l_2, j_2, n_2, o_2
  18. Polygon(Q, P, L, O) → poly10, q, p, l_3, o_3
  19. Polygon(O, N, R, Q) → poly11, o_4, n_3, r, q_1
  20. Polygon(P, K, R, Q) → poly12, p_1, k, r_1, q_2
  21. Polygon(K, J, N, R) → poly13, k_1, j_3, n_4, r_2
  22. Polygon(K, J, L, P) → poly14, k_2, j_4, l_4, p_2
  23. Polygon(S, E, D, P) → poly15, s, e_1, d_4, p_3
  24. Polygon(E, H, V, S) → poly16, e_2, h_2, v, s_1
  25. Polygon(V, Q, P, S) → poly17, v_1, q_3, p_4, s_2
  26. Polygon(H, V, T, I) → poly18, h_3, v_2, t, i_1
  27. Polygon(T, W, G, I) → poly19, t_1, w, g_2, i_2
  28. Polygon(Q, W, T, V) → poly20, q_4, w_1, t_2, v_3
  29. Polygon(W, U, R, Q) → poly21, w_2, u, r_3, q_5
  30. Polygon(U, C, G, W) → poly22, u_1, c_1, g_3, w_3
  31. Polygon(U, R, B, C) → poly23, u_2, r_4, b_4, c_2

AI 绘图提示语参考

绘制两个立方体之间的差值图形。首先在y轴上创建点B和C,在x轴上创建点D和E,在z轴上创建点J和K。然后在y轴和z轴的交点创建点M。接着使用这些点构造多个四边形,包括poly1到poly23,形成两个立方体的差值图形。
以上提示语为根据原始绘图命令整理而来,仅供参考。