八棱柱构造 by Andrew Hacker
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①本范例演示了八棱柱的立体图形构造与展开图;②涉及的核心数学概念包括多边形、立体几何、空间变换;③作图要点——从下方『构造摘要』提炼用到了Point点、Polygon多边形、Prism棱柱、Net展开图等GeoGebra命令/对象;④适合高中立体几何教学或几何作图练习。
GeoGebra 命令及参数
Point(xAxis) → DPolygon(C, D, 8) → poly1, a, F, G, H, I, J, b, c, d, e, f, g, h, EPrism(poly1, 12) → i, K, faceDEML, faceEFNM, faceFGON, faceGHPO, faceHIQP, faceIJRQ, faceCJRK, faceKLMNOPQR, edgeCK, edgeDL, L, edgeEM, edgeFN, edgeGO, edgeHP, edgeIQ, edgeJR, edgeKL, edgeLM, edgeMN, edgeNO, M, edgeOP, edgePQ, edgeQR, edgeKR, N, O, P, Q, R, faceCDLKNet(i, j) → k, S, D_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, L_1, M_1, T, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, U_1, V_1, W_1, U, Z_1, face9, face1, face3, face4, face5, face6, face7, face8, face2, V, face10, edgeST, edgeTU, edgeUV, edgeVW, edgeWZ, edge12, edge15, edge1, edge2, W, edge20, edge4, edge5, edge23, edge6, edge7, edge24, edge8, edge9, edge25, Z, edge10, edge11, edge26, edge13, edge14, edge27, edge16, edge17, edge28, edge18, A_1, edge19, edge29, edge3, edge22, edge30, edge31, edge32, edge33, edge34, edge21, B_1, C_1