六方格纸盒展开图

六方格纸盒展开图
几何画板及绘图内容加载中,请稍等……
2022-04-07 02:37
本范例展示了35个六方格纸盒中包含的11个立方体展开图。通过几何作图,学生可以学习立方体的展开与折叠,理解几何变换和对称性。使用了Join, Sequence, Cube, Net, If, Textfield等GeoGebra命令。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

  1. Join({{0}, TextToUnicode[palabra2]}) → palabra2cod
  2. Join({{0}, TextToUnicode[entrada]}) → entrada2
  3. Sequence(If[entrada2(k) > 96, entrada2(k) - 32, entrada2(k)], k, 1, Length[entrada2]) → entrada3, {0}
  4. Join({{0}, TextToUnicode[palabra]}) → palabracod
  5. 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
  6. Net(cub, t, caraABCD, aristaAB, aristaFG, aristaEH, aristaAE, aristaBF) → net26, I, R, S, T, U, V, caraIJKL, caraILNM, caraSTUV, caraJKPO, caraKLRQ, J, caraQRST, aristaIL, aristaIJ, aristaJK, aristaKL, aristaLN, aristaMN, aristaIM, aristaST, aristaTU, K, aristaUV, aristaSV, aristaJO, aristaOP, aristaKP, aristaKQ, aristaQR, aristaLR, aristaQT, aristaRS, L, M, N, O, P, Q
  7. Net(cub, t, caraABCD, aristaAB, aristaAE) → net27, M_1, V_1, W_1, Z_1, A_2, B_2, cara1, cara2, cara4, cara3, cara5, N_1, cara6, arista2, arista1, arista4, arista7, arista10, arista12, arista3, arista5, arista6, O_1, arista18, arista17, arista16, arista8, arista9, arista19, arista11, arista14, arista15, arista13, P_1, Q_1, R_1, S_1, T_1, U_1
  8. Net(cub, t, caraABCD, aristaAB, aristaCD, aristaAE) → net28, C_2, L_2, M_2, N_2, O_2, P_2, cara7, cara8, cara10, cara9, cara11, D_2, cara12, arista21, arista20, arista23, arista26, arista28, arista30, arista22, arista24, arista25, E_2, arista38, arista37, arista36, arista27, arista29, arista34, arista32, arista33, arista35, arista31, F_2, G_2, H_2, I_2, J_2, K_2
  9. Net(cub, t, caraABCD, aristaAB, aristaBC, aristaCG, aristaFG, aristaEH, aristaAE) → net15, Q_2, B_3, C_3, D_3, E_3, F_3, cara13, cara14, cara17, cara18, cara15, R_2, cara16, arista40, arista39, arista42, arista43, arista45, arista47, arista41, arista51, arista53, S_2, arista55, arista52, arista54, arista57, arista56, arista44, arista48, arista46, arista49, arista50, T_2, U_2, V_2, W_2, Z_2, A_3
  10. Net(cub, t, caraABCD, aristaAB) → net16, G_3, P_3, Q_3, R_3, S_3, T_3, cara19, cara20, cara21, cara22, cara23, H_3, cara24, arista59, arista58, arista62, arista64, arista67, arista69, arista60, arista70, arista73, I_3, arista61, arista63, arista75, arista65, arista66, arista76, arista68, arista72, arista74, arista71, J_3, K_3, L_3, M_3, N_3, O_3
  11. Net(cub, t, caraABCD, aristaAE) → net17, U_3, F_4, G_4, H_4, I_4, J_4, cara25, cara27, cara26, cara28, cara29, V_3, cara30, arista78, arista77, arista81, arista84, arista87, arista89, arista79, arista80, arista93, W_3, arista82, arista83, arista94, arista85, arista86, arista95, arista88, arista91, arista92, arista90, Z_3, A_4, B_4, C_4, D_4, E_4
  12. Net(cub, t, caraABCD, aristaBC) → net9, K_4, T_4, U_4, V_4, W_4, Z_4, cara31, cara33, cara32, cara34, cara35, L_4, cara36, arista97, arista96, arista100, arista103, arista105, arista107, arista98, arista99, arista111, M_4, arista101, arista112, arista113, arista102, arista104, arista114, arista106, arista109, arista110, arista108, N_4, O_4, P_4, Q_4, R_4, S_4
  13. Net(cub, t, caraABCD, aristaAB, aristaBC) → net11, A_5, J_5, K_5, L_5, M_5, N_5, cara37, cara38, cara39, cara41, cara40, B_5, cara42, arista116, arista115, arista119, arista120, arista123, arista125, arista117, arista126, arista129, C_5, arista118, arista121, arista122, arista133, arista132, arista131, arista124, arista128, arista130, arista127, D_5, E_5, F_5, G_5, H_5, I_5
  14. Net(cub, t, caraABCD, aristaAB, aristaBC, aristaCG, aristaEF, aristaEH, aristaAE) → net3, O_5, Z_5, A_6, B_6, C_6, D_6, cara43, cara44, cara48, cara47, cara45, P_5, cara46, arista135, arista134, arista137, arista138, arista140, arista142, arista136, arista148, arista151, Q_5, arista152, arista149, arista144, arista145, arista150, arista139, arista143, arista141, arista147, arista146, R_5, S_5, T_5, U_5, V_5, W_5
  15. Net(cub, t, caraABCD, aristaAB, aristaBC, aristaGH, aristaEH) → net7, E_6, N_6, O_6, P_6, Q_6, R_6, cara49, cara50, cara51, cara53, cara52, F_6, cara54, arista154, arista153, arista157, arista158, arista161, arista163, arista155, arista164, arista166, G_6, arista156, arista159, arista160, arista171, arista170, arista169, arista162, arista165, arista168, arista167, H_6, I_6, J_6, K_6, L_6, M_6
  16. Net(cub, t, caraABCD, aristaAB, aristaBC, aristaAE) → net20, S_6, D_7, E_7, F_7, G_7, H_7, cara55, cara56, cara60, cara58, cara57, T_6, cara59, arista173, arista172, arista175, arista176, arista179, arista181, arista174, arista187, arista188, U_6, arista190, arista189, arista177, arista178, arista186, arista185, arista180, arista183, arista184, arista182, V_6, W_6, Z_6, A_7, B_7, C_7
  17. If(fallos < 6, true, false) → test
  18. Sequence(Segment[(11 + k, 28.2), (12 + k, 28.2)], k, 1, 16, 1.5) → casillas, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}
  19. Sequence(Take[palabra, k, k], k, 1, 11) → listaLetras, {"I", "M", "A", "G", "I", "N", "A", "T", "I", "O", "N"}
  20. Textfield(entrada) → CasillaDeEntrada

AI 绘图提示语参考

展示11种立方体展开图,这些展开图由35种六边形模块中的几种组成。每个展开图都由多个面组成,这些面通过边连接。首先绘制一个立方体,然后将其展开成平面图,展示其各个面的连接方式。每个展开图都应清晰显示,以便观察和比较它们的形状和结构。
以上提示语为根据原始绘图命令整理而来,仅供参考。