长方体3D展开图
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①本范例演示了长方体的3D展开图及其基本属性;②涉及的核心数学概念包括立体几何、多边形、角度计算;③作图要点——从下方『构造摘要』提炼用到了Point(点)、Cube(立方体)、Net(展开图)等GeoGebra命令/对象;④适合初中及以上学生学习立体几何,或用于教学演示几何构造。
GeoGebra 命令及参数
Point(yAxis) → APoint(yAxis) → BPoint(yAxis) → CPoint(yAxis) → DPoint(Circle[D, Distance[C, D], Segment[C, D]]) → ECube(C, D, E) → a, F, faceEFJI, faceGHIJ, edgeCF, edgeCD, edgeDE, edgeEF, edgeCG, edgeFJ, edgeGJ, edgeGH, G, edgeDH, edgeHI, edgeEI, edgeIJ, H, I, J, faceCDEF, faceCFJG, faceCDHG, faceDEIHNet(a, c) → e, K, T, U, V, W, Z, faceKLMN, faceKNPO, faceKLTS, faceLMVU, faceMNZW, L, faceOPQR, edgeKN, edgeKL, edgeLM, edgeMN, edgeNP, edgeOP, edgeKO, edgeKS, edgeST, M, edgeLT, edgeLU, edgeUV, edgeMV, edgeMW, edgeWZ, edgeNZ, edgePQ, edgeQR, edgeOR, N, O, P, Q, R, S