长方体展开图 by Cream Da Best

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2016-12-12 11:48

多边形角立体几何

①本范例演示了长方体的展开图及其基本性质；②涉及的核心数学概念包括多边形、角度、立体几何、中心对称等；③作图要点提炼自构造摘要，使用了Intersect（相交）、Point（点）、Polygon（多边形）、Prism（棱柱）、Net（展开图）等GeoGebra命令和对象；④适合初中及以上学生学习立体几何，有助于理解三维图形与二维平面的转换关系。

GeoGebra 命令及参数

Intersect(xAxis, yAxis) → A
Point(yAxis) → B
Point(xAxis) → D
Polygon(A, B, C, D) → poly1, a, b, c, d
Prism(poly1, 0) → e, E, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH
Prism(poly1, 5) → f, I, edgeAI, edgeBJ, edgeCK, edgeDL, edgeIJ, edgeJK, edgeKL, edgeIL, J, K, L, faceABJI, faceBCKJ, faceCDLK, faceADLI, faceIJKL
Net(f, g) → h, M, V, W, Z, A_1, B_1, faceMNOP, faceMNRQ, faceNOTS, faceOPVU, faceMPWZ, N, face1, edgeMN, edgeNO, edgeOP, edgeMP, edgeMQ, edgeQR, edgeNR, edgeNS, edgeST, O, edgeOT, edgeOU, edgeUV, edgePV, edgePW, edgeWZ, edgeMZ, edge2, edge3, edge1, P, Q, R, S, T, U