圆柱与金字塔的几何变换
几何画板及绘图内容加载中,请稍等……
①本范例演示了圆柱与金字塔的几何构造与变换过程;②涉及的核心数学概念包括立体几何、多边形构造、空间变换等;③作图要点提炼自构造摘要,使用了Polygon(多边形)、Prism(棱柱)、Net(展开图)、PointIn(点在对象内判断)等GeoGebra命令与对象;④适合高中阶段学生及数学爱好者学习空间几何与几何变换知识。
GeoGebra 命令及参数
Polygon(A, B, 20) → poly1, f, p, q, r, s, t, a, b, c, d, e, g, f_1, C, D, E, F, G, H, I, J, K, h, L, M, N, O, P, Q, R, S, T, i, j, k, l, m, nPrism(poly1, 0) → o, U, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, V, P_1, faceABVU, faceBCWV, faceCDZW, face2, face3, face4, face5, face6, face7, W, face8, face9, face10, face11, face12, face13, face14, face15, face16, face17, Z, face1, face18, edgeAU, edgeBV, edgeCW, edgeDZ, edge1, edge2, edge3, edge4, A_1, edge5, edge6, edge7, edge8, edge9, edge10, edge11, edge12, edge13, edge14, B_1, edge15, edge16, edgeUV, edgeVW, edgeWZ, edge18, edge19, edge20, edge21, edge22, C_1, edge23, edge24, edge25, edge26, edge27, edge28, edge29, edge30, edge31, edge32, D_1, edge33, edge17, E_1Prism(poly1, v) → w, M_2, V_2, W_2, Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, N_2, H_3, face40, face42, face43, face44, face45, face46, face47, face48, face49, O_2, face50, face51, face52, face53, face54, face55, face56, face57, face58, face59, P_2, face41, face60, edge74, edge75, edge76, edge77, edge78, edge79, edge80, edge81, Q_2, edge82, edge83, edge84, edge85, edge86, edge87, edge88, edge89, edge90, edge91, R_2, edge92, edge93, edge94, edge96, edge97, edge98, edge99, edge100, edge101, edge102, S_2, edge103, edge104, edge105, edge106, edge107, edge108, edge109, edge110, edge111, edge112, T_2, edge113, edge95, U_2Net(w, u) → a_1, Q_1, B_2, face61, edge34, edge38, edge41, edge44, edge47, edge50, edge53, edge56, edge59, C_2, edge62, edge65, edge68, edge71, edge114, edge117, edge120, edge123, edge126, edge129, D_2, edge35, edge36, edge134, edge39, edge40, edge137, edge42, edge43, edge138, edge45, E_2, edge46, edge139, edge48, edge49, edge140, edge51, edge52, edge141, edge54, edge55, F_2, edge142, edge57, edge58, edge143, edge60, edge61, edge144, edge63, edge64, edge145, G_2, edge66, edge67, edge146, edge69, edge70, edge147, edge72, edge73, edge148, edge115, H_2, edge116, edge149, edge118, edge119, edge150, edge121, edge122, edge151, edge124, edge125, I_2, edge152, edge127, edge128, edge153, edge130, edge131, edge154, edge132, edge133, edge155, J_2, edge37, edge136, edge156, edge157, edge158, edge159, edge160, edge161, edge162, edge163, K_2, edge164, edge165, edge166, edge167, edge168, edge169, edge170, edge171, edge172, edge135, R_1, L_2, I_3, J_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, S_1, R_3, S_3, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, C_4, T_1, D_4, E_4, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4, U_1, N_4, O_4, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, V_1, Z_4, A_5, B_5, C_5, D_5, E_5, F_5, G_5, H_5, I_5, W_1, J_5, K_5, L_5, M_5, N_5, O_5, P_5, Q_5, R_5, face39, Z_1, face19, face21, face22, face23, face24, face25, face26, face27, face28, face29, A_2, face30, face31, face32, face33, face34, face35, face36, face37, face38, face20PointIn(face61) → Pointface61PointIn(face39) → Pointface39PointIn(face22) → Pointface22