六棱锥构造 by Antoinette Olivares

几何画板及绘图内容加载中，请稍等……

2016-05-14 04:46

①本范例演示了六棱锥的三维几何构造与展开图；②涉及的核心数学概念包括多边形、立体几何、向量与函数；③作图要点提炼自构造摘要，使用了Polygon（多边形）、Pyramid（棱锥）、Net（展开图）、PointIn（点在图形内判断）等GeoGebra命令及对象；④适合高中立体几何教学与三维图形理解学习。

GeoGebra 命令及参数

Polygon(A, B, 6) → poly1, f, F, g, h, i, j, k, C, D, E
Pyramid(poly1, 0) → a, G, edgeCG, edgeDG, edgeEG, edgeFG, faceABG, faceBCG, faceCDG, faceDEG, faceEFG, faceAFG, edgeAG, edgeBG
Pyramid(poly1, c) → d, I, edgeCI, edgeDI, edgeEI, edgeFI, faceABI, faceBCI, faceCDI, faceDEI, faceEFI, faceAFI, edgeAI, edgeBI
Net(d, b) → e, H, R, S, T, faceHJKLMN, faceHJO, faceJKP, faceKLQ, faceLMR, faceMNS, faceHNT, J, edgeHJ, edgeJK, edgeKL, edgeLM, edgeMN, edgeHN, edgeHO, edgeJO, edgeJP, edgeKP, K, edgeKQ, edgeLQ, edgeLR, edgeMR, edgeMS, edgeNS, edgeNT, edgeHT, L, M, N, O, P, Q
PointIn(faceLMR) → PointfaceLMR
PointIn(faceKLQ) → PointfaceKLQ
PointIn(faceJKP) → PointfaceJKP
PointIn(faceHJO) → PointfaceHJO
PointIn(faceHNT) → PointfaceHNT
PointIn(faceMNS) → PointfaceMNS
PointIn(faceHJKLMN) → PointfaceHJKLMN