GeoGebra Easter Basket Preparation Example

几何画板及绘图内容加载中，请稍等……

2020-04-12 15:48

所属专题 Eggs

①本范例演示如何使用 GeoGebra 绘制 Easter Basket 的三维表面与相关几何图形；②涉及的核心数学概念包括曲面、几何分布、箱线图、双曲线、均值、随机实验；③作图要点提炼自构造摘要，使用了 CurveCartesian, Surface, Rotate, CircumcircleArc 等命令与对象；④适合高中及以上数学教学与几何作图学习。

GeoGebra 命令及参数

CurveCartesian(sin(t), cos(t), ((1 / 2 * cos(t)) * sin(t)), t, 0, (2 * π)) → courbeauh
CurveCartesian(((1.3 * r) * sin(t)), (r * cos(t)), h, t, (-2 * π), (2 * π)) → courbebas
Surface(((1.3 * v) * sin(t)), (v * cos(t)), h, t, (-π), π, v, 0, r) → Fond
Rotate(courbeauh, 45°, zAxis) → courbeauh'
Surface(((1 - u) * x(courbebas(t))) + (u * x(courbeauh'(t))), ((1 - u) * y(courbebas(t))) + (u * y(courbeauh'(t))), ((1 - u) * z(courbebas(t))) + (u * z(courbeauh'(t))), t, (-π), ang, u, 0, 1) → Tour
CircumcircleArc(B, C, A) → d
Surface(x(F) + ((R * cos(i)) * cos(j)), y(F) + ((R * cos(i)) * sin(j)), z(F) + ((R + 0.0451) * sin(i)), i, 0, (2 * π), j, 0, (2 * π)) → a
Surface(x(I) + ((R * cos(i)) * cos(j)), y(I) + ((R + 0.0451) * sin(i)), z(I) + ((R * cos(i)) * sin(j)), i, 0, (2 * π), j, 0, (2 * π)) → b
Surface(x(H) + ((R + 0.0451) * sin(i)), y(H) + ((R * cos(i)) * cos(j)), z(H) + ((R * cos(i)) * sin(j)), i, 0, (2 * π), j, 0, (2 * π)) → c
Surface(x(G) + ((R * cos(i)) * cos(j)), y(G) + ((R + 0.0451) * sin(i)), z(G) + ((R * cos(i)) * sin(j)), i, 0, (2 * π), j, 0, (2 * π)) → e