立方体展开图 by Rafael Losada Liste

立方体展开图 by Rafael Losada Liste
几何画板及绘图内容加载中,请稍等……
2022-04-05 06:29
这个范例演示了立方体的展开图。它涉及几何学中的立体几何概念。通过使用GeoGebra的Point, Cube, Net等命令,可以构造出立方体的各个面和棱。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. Cube(A, B, C) → cub, D, caraCDHG, caraEFGH, aristaAD, aristaAB, aristaBC, aristaCD, aristaAE, aristaDH, aristaEH, aristaEF, E, aristaBF, aristaFG, aristaCG, aristaGH, F, G, H, caraABCD, caraADHE, caraABFE, caraBCGF
  3. Net(cub, t, caraABCD, aristaBC) → net7, W, H_1, I_1, J_1, K_1, L_1, cara1, cara2, cara3, cara4, cara5, Z, cara6, arista1, arista2, arista3, arista4, arista5, arista6, arista7, arista8, arista9, A_1, arista10, arista11, arista12, arista13, arista14, arista15, arista16, arista17, arista18, arista57, B_1, C_1, D_1, E_1, F_1, G_1
  4. Net(cub, t, caraABCD, aristaAE) → net6, M_1, V_1, W_1, Z_1, A_2, B_2, cara7, cara8, cara9, cara10, cara11, N_1, cara12, arista19, arista20, arista21, arista22, arista23, arista24, arista25, arista26, arista27, O_1, arista28, arista29, arista30, arista31, arista32, arista33, arista34, arista35, arista36, arista37, P_1, Q_1, R_1, S_1, T_1, U_1
  5. Net(cub, t, caraABCD, aristaAB) → net5, I, R, S, T, U, V, cara13, cara14, cara15, cara16, cara17, J, cara18, arista38, arista39, arista40, arista41, arista42, arista43, arista44, arista45, arista46, K, arista47, arista48, arista49, arista50, arista51, arista52, arista53, arista54, arista55, arista56, L, M, N, O, P, Q
  6. Net(cub, t, caraABCD, aristaAB, aristaBC) → net8, C_2, L_2, M_2, N_2, O_2, P_2, cara19, cara20, cara21, cara23, cara22, D_2, cara24, arista59, arista58, arista62, arista63, arista66, arista68, arista60, arista69, arista72, E_2, arista61, arista64, arista65, arista76, arista75, arista74, arista67, arista71, arista73, arista70, F_2, G_2, H_2, I_2, J_2, K_2
  7. Net(cub, t, caraABCD, aristaAB, aristaAE) → net2, Q_2, B_3, C_3, D_3, E_3, F_3, cara25, cara26, cara27, cara28, cara29, R_2, cara30, arista77, arista78, arista79, arista80, arista81, arista82, arista83, arista84, arista85, S_2, arista86, arista87, arista88, arista89, arista90, arista91, arista92, arista93, arista94, arista95, T_2, U_2, V_2, W_2, Z_2, A_3
  8. Net(cub, t, caraABCD, aristaAB, aristaBC, aristaAE) → net11, G_3, P_3, Q_3, R_3, S_3, T_3, cara31, cara32, cara33, cara34, cara35, H_3, cara36, arista96, arista97, arista98, arista99, arista100, arista101, arista102, arista103, arista104, I_3, arista105, arista106, arista107, arista108, arista109, arista110, arista111, arista112, arista113, arista114, J_3, K_3, L_3, M_3, N_3, O_3
  9. Net(cub, t, caraABCD, aristaAB, aristaCD, aristaAE) → net3, U_3, F_4, G_4, H_4, I_4, J_4, cara37, cara38, cara39, cara40, cara41, V_3, cara42, arista115, arista116, arista117, arista118, arista119, arista120, arista121, arista122, arista123, W_3, arista124, arista125, arista126, arista127, arista128, arista129, arista130, arista131, arista132, arista133, Z_3, A_4, B_4, C_4, D_4, E_4
  10. Net(cub, t, caraABCD, aristaAB, aristaFG, aristaEH, aristaAE, aristaBF) → net1, K_4, T_4, U_4, V_4, W_4, Z_4, face1, face2, face3, face4, face5, L_4, face6, edge1, edge2, edge3, edge4, edge5, edge6, edge7, edge8, edge9, M_4, edge10, edge11, edge12, edge13, edge14, edge15, edge16, edge17, edge18, edge19, N_4, O_4, P_4, Q_4, R_4, S_4
  11. Net(cub, t, caraABCD, aristaAB, aristaBC, aristaCG, aristaFG, aristaEH, aristaAE) → net4, A_5, J_5, K_5, L_5, M_5, N_5, face7, face8, face9, face10, face11, B_5, face12, edge20, edge21, edge22, edge23, edge24, edge25, edge26, edge27, edge28, C_5, edge29, edge30, edge31, edge32, edge33, edge34, edge35, edge36, edge37, edge38, D_5, E_5, F_5, G_5, H_5, I_5
  12. Net(cub, t, caraABCD, aristaAB, aristaBC, aristaCG, aristaEF, aristaEH, aristaAE) → net9, O_5, Z_5, A_6, B_6, C_6, D_6, face13, face14, face15, face16, face17, P_5, face18, edge39, edge40, edge41, edge42, edge43, edge44, edge45, edge46, edge47, Q_5, edge48, edge49, edge50, edge51, edge52, edge53, edge54, edge55, edge56, edge57, R_5, S_5, T_5, U_5, V_5, W_5
  13. Net(cub, t, caraABCD, aristaAB, aristaBC, aristaGH, aristaEH) → net10, E_6, N_6, O_6, P_6, Q_6, R_6, face19, face20, face21, face22, face23, F_6, face24, edge58, edge59, edge60, edge61, edge62, edge63, edge64, edge65, edge66, G_6, edge67, edge68, edge69, edge70, edge71, edge72, edge73, edge74, edge75, edge76, H_6, I_6, J_6, K_6, L_6, M_6

AI 绘图提示语参考

绘制一个立方体的平面展开图,包含六个正方形面和它们之间的连接线。首先确定立方体的四个顶点A、B、C、D,然后构建立方体的六个面和十二条棱。接着,将这些面按照展开图的方式排列,确保每个面的连接线正确无误。
以上提示语为根据原始绘图命令整理而来,仅供参考。