棱柱展开图 by Rasha Tarek
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这个范例演示了棱柱的展开图。涉及的核心数学概念包括立体几何中的棱柱结构。通过使用CurveCartesian, Point, Polygon, Prism, Net等GeoGebra命令,可以构造棱柱的展开图。适合初中及以上学生学习立体几何。
GeoGebra 命令及参数
CurveCartesian((4 * cos(t)), (4 * sin(t)), 0, t, 0, 6.28319) → aPoint(a) → APolygon(A, B, Faces, xOyPlane) → poly1, c, l, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, m, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2, n, p, q, r, s, t, a_1, b_1, d, c_1, d_1, e_1, f_1, g_1, h_1, i_1, j_1, k_1, l_1, e, m_1, n_1, p_1, q_1, r_1, s_1, t_1, a_2, b_2, c_2, f, d_2, e_2, f_2, g_2, h_2, i_2, j_2, k_2, l_2, m_2, g, n_2, p_2, q_2, r_2, s_2, t_2, a_3, b_3, c_3, d_3, h, e_3, C, D, E, F, G, H, I, J, K, i, L, M, N, O, P, Q, R, S, T, U, j, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, k, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1Prism(poly1, 3) → o, M_2, V_2, face41, face42, face43, face44, face45, face46, face47, face48, face49, face50, W_2, face51, face52, face53, face54, face55, face56, face57, face58, face59, face60, Z_2, face61, face1, edge1, edge2, edge3, edge7, edge9, edge10, edge13, edge14, A_3, edge15, edge19, edge20, edge23, edge25, edge26, edge27, edge31, edge33, edge35, B_3, edge37, edge38, edge41, edge43, edge44, edge45, edge46, edge47, edge53, edge54, C_3, edge55, edge56, edge61, edge62, edge63, edge64, edge69, edge70, edge71, edge72, D_3, edge77, edge78, edge79, edge80, edge81, edge82, edge83, edge84, edge85, edge86, E_3, edge87, edge88, edge89, edge103, edge104, edge105, edge106, edge107, edge108, edge109, F_3, edge110, edge119, edge4, edge6, edge5, edge8, edge11, edge12, edge16, edge17, G_3, edge18, edge21, edge22, edge24, edge28, edge29, edge30, edge32, edge34, edge36, N_2, H_3, edge39, edge40, edge42, edge48, edge49, edge50, edge51, edge52, edge57, edge58, I_3, edge59, edge60, edge65, edge66, edge67, edge68, edge73, edge74, edge75, edge76, J_3, edge90, edge91, edge92, edge93, edge94, edge95, edge96, edge97, edge98, edge99, K_3, edge100, edge101, edge102, edge111, edge112, edge113, edge114, edge115, edge116, edge117, L_3, edge118, edge120, M_3, N_3, O_3, P_3, Q_3, O_2, R_3, S_3, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, C_4, P_2, D_4, E_4, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4, Q_2, N_4, O_4, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, R_2, Z_4, face2, face4, face3, face5, face6, face7, face8, face9, face10, S_2, face11, face12, face13, face14, face15, face16, face17, face18, face19, face20, T_2, face21, face22, face23, face24, face25, face26, face27, face28, face29, face30, U_2, face31, face32, face33, face34, face35, face36, face37, face38, face39, face40Net(o, b) → f_3, W_{50}, F_{51}, G_{51}, M_5, U_5, C_5, D_5, H_{51}, L_5, B_5, face365, Z_{50}, face367, face369, face368, face67, face62, face366, edge1515, edge1519, edge1516, edge172, A_{51}, edge122, edge1517, edge1524, edge1520, edge1521, edge1527, edge1522, edge1523, edge1528, edge1518, K_5, edge173, edge174, edge175, edge123, edge124, edge125, edge1526, edge1525, edge171, edge121, A_5, B_{51}, C_{51}, D_{51}, E_{51}