探索立方体的展开图
几何画板及绘图内容加载中，请稍等……
①本范例演示立方体的展开图及其组成部分；②涉及的核心数学概念包括立体几何、多边形、空间想象能力；③作图要点——从下方『构造摘要』提炼用到了哪些 GeoGebra 命令/对象：Intersect（交集）、Cube（立方体）、A, u, B, a, C, D, E, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF, faceCDHG, faceEFGH, edgeAD, edgeAB_1, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, edgeBF, edgeFG, edgeCG, edgeGH, b, c, d, e, f, I, J, K, L, M, N；④适合的学段或用途——高中立体几何教学、空间几何直观理解、几何建模入门
GeoGebra 命令及参数
Intersect(yAxis, xAxis) → ACube(A, B, Vector[(-UnitVector[xOyPlane])]) → a, C, faceBCGF, faceCDHG, faceEFGH, edgeAD, edgeAB_1, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, D, edgeEF, edgeBF, edgeFG, edgeCG, edgeGH, E, F, G, H, faceABCD, faceADHE, faceABFECube(A, B, Vector[(-UnitVector[xOyPlane])]) → f, I, faceBIML, faceIJNM, faceKLMN, edgeAJ, edgeAB, edgeBI, edgeIJ, edgeAK, edgeJN, edgeKN, J, edgeKL, edgeBL, edgeLM, edgeIM, edgeMN, K, L, M, N, faceABIJ, faceAJNK, faceABLK