长方体展开图 by Rasha Tarek

几何画板及绘图内容加载中，请稍等……

2015-10-28 22:36

解析几何立体几何几何作图

这个范例演示了长方体的展开图。涉及的核心数学概念包括立体几何中的长方体及其展开方式。作图要点包括使用GeoGebra命令如Prism, Net, Point, PointIn等来构建长方体的各个面和边。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

Prism(A, B, C, D, E) → a, F, edgeAB, edgeBC, edgeCD, edgeAD, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, G, edgeGH, edgeEH, H, faceABCD, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH
Net(a, b) → c, I, R, S, T, U, V, faceIJKL, faceIJNM, faceJKPO, faceKLRQ, faceILST, J, faceMNUV, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIM, edgeMN, edgeJN, edgeJO, edgeOP, K, edgeKP, edgeKQ, edgeQR, edgeLR, edgeLS, edgeST, edgeIT, edgeNU, edgeUV, edgeMV, L, M, N, O, P, Q
Point(edgeJN) → W
Point(edgeNU) → Z
Point(edgeKQ) → A_1
Point(edgeQR) → B_1
Point(edgeOP) → C_1
Point(edgeJO) → D_1
PointIn(faceJKPO) → E_1
PointIn(faceILST) → F_1