50边形金字塔展开图：立体几何与重心应用

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → B
3. Polygon(A, B, 50) → poly1, a, j, k, l, m, n, p, q, r, s, t, b, a_1, b_1, c_1, d_1, e_1, f_1, g_1, h_1, i_1, j_1, c, k_1, l_1, m_1, n_1, p_1, q_1, r_1, s_1, t_1, a_2, d, b_2, c_2, d_2, e_2, f_2, g_2, h_2, i_2, j_2, k_2, e, l_2, C, D, E, F, G, H, I, J, K, f, L, M, N, O, P, Q, R, S, T, U, g, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, h, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, i, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2
4. Pyramid(poly1, 20) → o, D_2, face10, edge49, edge50, face11, face12, face13, face14, face15, face16, face17, face18, face19, face1, face20, face21, face22, face23, face24, face25, face26, face27, face28, face29, face3, face30, face31, face32, face33, face34, face35, face36, face37, face38, face39, face4, face40, face41, face42, face43, face44, face45, face46, face47, face48, face49, face5, face50, face2, edge1, edge2, edge3, edge4, edge5, edge6, edge7, edge8, face6, edge9, edge10, edge11, edge12, edge13, edge14, edge15, edge16, edge17, edge18, face7, edge19, edge20, edge21, edge22, edge23, edge24, edge25, edge26, edge27, edge28, face8, edge29, edge30, edge31, edge32, edge33, edge34, edge35, edge36, edge37, edge38, face9, edge39, edge40, edge41, edge42, edge43, edge44, edge45, edge46, edge47, edge48
5. Centroid(poly1) → C_2
6. Net(o, v) → u, E_2, N_2, H_6, face51, face52, face53, face54, face55, face56, face57, face58, face59, O_2, face60, face61, face62, face63, face64, face65, face66, face67, face68, face69, P_2, face70, face71, face72, face73, face74, face75, face76, face77, face78, face79, Q_2, face80, face81, face82, face83, face84, face85, face86, face87, face88, face89, R_2, face90, face91, face92, face93, face94, face95, face96, face97, face98, face99, S_2, face100, face101, edge51, edge52, edge53, edge54, edge55, edge56, edge57, edge58, T_2, edge59, edge60, edge61, edge62, edge63, edge64, edge65, edge66, edge67, edge68, U_2, edge69, edge70, edge71, edge72, edge73, edge74, edge75, edge76, edge77, edge78, V_2, edge79, edge80, edge81, edge82, edge83, edge84, edge85, edge86, edge87, edge88, W_2, edge89, edge90, edge91, edge92, edge93, edge94, edge95, edge96, edge97, edge98, F_2, Z_2, edge99, edge100, edge101, edge102, edge103, edge104, edge105, edge106, edge107, edge108, A_3, edge109, edge110, edge111, edge112, edge113, edge114, edge115, edge116, edge117, edge118, B_3, edge119, edge120, edge121, edge122, edge123, edge124, edge125, edge126, edge127, edge128, C_3, edge129, edge130, edge131, edge132, edge133, edge134, edge135, edge136, edge137, edge138, D_3, edge139, edge140, edge141, edge142, edge143, edge144, edge145, edge146, edge147, edge148, E_3, edge149, edge150, edge151, edge152, edge153, edge154, edge155, edge156, edge157, edge158, F_3, edge159, edge160, edge161, edge162, edge163, edge164, edge165, edge166, edge167, edge168, G_3, edge169, edge170, edge171, edge172, edge173, edge174, edge175, edge176, edge177, edge178, H_3, edge179, edge180, edge181, edge182, edge183, edge184, edge185, edge186, edge187, edge188, I_3, edge189, edge190, edge191, edge192, edge193, edge194, edge195, edge196, edge197, edge198, G_2, J_3, edge199, edge200, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3, S_3, H_2, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, C_4, D_4, E_4, I_2, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4, N_4, O_4, J_2, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, Z_4, A_5, K_2, B_5, C_5, D_5, E_5, F_5, G_5, H_5, I_5, J_5, K_5, L_2, L_5, M_5, N_5, O_5, P_5, Q_5, R_5, S_5, T_5, U_5, M_2, V_5, W_5, Z_5, A_6, B_6, C_6, D_6, E_6, F_6, G_6