棱柱与棱锥的构造与体积计算

几何画板及绘图内容加载中，请稍等……

2017-06-16 19:00

立体几何几何作图

①本范例演示棱柱与棱锥的几何构造及其体积计算；②涉及核心数学概念包括多边形、立体几何、体积公式、几何变换；③构造要点：使用Point, Segment, Polygon, Pyramid, Prism, Volume等命令创建基本图形和计算体积；④适合高中立体几何教学和几何作图练习。

GeoGebra 命令及参数

Point(Circle[A, a]) → B
Segment(A, B) → f
Point(Circle[C, a]) → D
Segment(C, D) → g
Polygon(A, B, 4) → poly1, i, j, k, l, E, F
Polygon(C, D, 4) → poly2, m, n, p, q, G, H
Pyramid(poly1, h) → b, I, faceABI, faceBEI, faceEFI, faceAFI, edgeAI, edgeBI, edgeEI, edgeFI
Prism(poly2, h) → c, J, edgeCJ, edgeDK, edgeGL, edgeHM, edgeJK, edgeKL, edgeLM, edgeJM, K, L, M, faceCDKJ, faceDGLK, faceGHML, faceCHMJ, faceJKLM
Volume(b) → volumeb
Point(b) → Pointb
Volume(c) → volumec
Point(c) → Pointc