圆柱面与球面

几何画板及绘图内容加载中，请稍等……

2015-01-08 01:41

圆立体几何参数方程

这个范例展示了圆柱面和球面的构造。它涉及圆柱面和球面的参数方程。通过使用Surface命令，可以构造出圆柱面和球面。该范例适合高中数学教学，特别是解析几何和立体几何的教学。

GeoGebra 命令及参数

Surface(((a * v / Vmax) * cos(u)), ((b * v / Vmax) * sin(u)), ((c * (1 + sin(Vmax - π / 2))) * (1 - v / Vmax)) + (2 * c), u, Umin, Umax, v, 0, Vmax) → cone
Surface((a * cos(u)), (b * sin(u)), (c * (1 + sin(v - π / 2))), u, Umin, Umax, v, 0, Vmax) → cylinder
Surface(((a * cos(v - π / 2)) * cos(u)), ((b * cos(v - π / 2)) * sin(u)), (c * sin(v - π / 2)) + (5 * c), u, Umin, Umax, v, 0, Vmax) → ellipsoid
Surface(((a + e + (e * cos((2 * v)))) * cos((d * u))), ((b + e + (e * cos((2 * v)))) * sin((d * u))), (sin((2 * v)) * e) + ((5 * c / ((2 * π))) * u), u, Umin, Umax, v, 0, Vmax) → helix
Surface(((a + e + (e * cos((2 * v)))) * cos(u)), ((b + e + (e * cos((2 * v)))) * sin(u)), (e * sin((2 * v))), u, Umin, Umax, v, 0, Vmax) → ring