棱柱体积演示

几何画板及绘图内容加载中，请稍等……

2019-05-25 01:25

立体几何几何作图

①本范例演示棱柱体积计算原理，通过可视化展示棱柱被填充过程中的体积变化；②涉及核心数学概念包括体积公式、几何变换（旋转、平移）、相似变换；③构造要点运用了Polygon（多边形）、Prism（棱柱）、RotateText（旋转文本）等GeoGebra命令及对象；④适合初中及以上学生用于理解立体几何体积计算及变换特性。

GeoGebra 命令及参数

Polygon((-0.86, 0.24), (0.14, 0.24), 6) → poly1
Prism(poly1, height) → b, A, face4, face5, face6, face7, edge1, edge2, edge3, edge4, edge5, edge6, B, edge7, edge8, edge9, edge10, edge11, edge12, C, D, E, F, face1, face2, face3
Prism(poly1, 4.999999999999999) → a, G, face12, face13, face9, faceGHIJKL, edge13, edge14, edge15, edge16, edge17, edge18, H, edgeGH, edgeHI, edgeIJ, edgeJK, edgeKL, edgeGL, I, J, K, L, face8, face10, face11
RotateText(text1, π / 2) → text2