正五边形表面积计算

几何画板及绘图内容加载中，请稍等……

2017-05-27 00:22

多边形立体几何几何作图

①本范例演示正五边形的表面积计算方法；②涉及核心数学概念包括多边形面积公式、立体几何中的棱锥表面积计算；③作图要点：使用Polygon命令绘制正五边形，Midpoint和OrthogonalLine确定关键点，Intersect找到交点，Pyramid构建棱锥，Net展开表面积，PointIn验证点位置；④适合高中阶段学生学习和理解多边形及立体几何相关计算。

GeoGebra 命令及参数

Polygon(B, C, 5) → poly1, f, g, h, i, j, D, E, F
Midpoint(i) → G
Midpoint(h) → H
OrthogonalLine(G, i) → k
OrthogonalLine(H, h) → l
Intersect(k, l) → I
Point(zAxis) → A
Pyramid(poly1, A) → a, faceABC, edgeAF, faceACD, faceADE, faceAEF, faceABF, edgeAB, edgeAC, edgeAD, edgeAE
Net(a, b) → c, J, S, faceJKLMN, faceJKO, faceKLP, faceLMQ, faceMNR, faceJNS, edgeJK, edgeKL, edgeLM, K, edgeMN, edgeJN, edgeJO, edgeKO, edgeKP, edgeLP, edgeLQ, edgeMQ, edgeMR, edgeNR, L, edgeNS, edgeJS, M, N, O, P, Q, R
PointIn(faceJKLMN) → PointfaceJKLMN
PointIn(faceLMQ) → PointfaceLMQ
PointIn(faceMNR) → PointfaceMNR
PointIn(faceJNS) → PointfaceJNS
PointIn(faceJKO) → PointfaceJKO
PointIn(faceKLP) → PointfaceKLP