Sankagu13 数学范例

几何画板及绘图内容加载中，请稍等……

2019-08-12 14:42

这个范例演示了如何利用 GeoGebra 构造复杂的几何图形和数学对象。涉及的核心数学概念包括数列、立体几何、线性规划、参数方程和三角函数。作图要点包括使用 CurveCartesian、Join、Sort、Circle、Sequence 等命令，以及对象 a、f、g、M_n、b、T_n、N、n、O_{1} 到 O_{7}、Numel、modulo13、L、PIE、shift、c、d、l1、l2。适合高中及以上数学学习和探索。

GeoGebra 命令及参数

CurveCartesian(M_n(t) + t, (-1 / f'(t) * M_n(t)) + f(t), t, 0, π / 2) → b
Join({{0, 0, 0, 0, 0, 0, 0}, Sequence[Element[L, modulo13(t)], t, 1, n]}) → PIE
Sort(Join[{Sequence[g(t), t, 1, n], Sequence[g(t), t, 1, n], Sequence[g(t), t, 1, n], Sequence[g(t), t, 1, n], Sequence[g(t), t, 1, n], Sequence[g(t), t, 1, n], Sequence[floor(n / 2)], {0, 0, 0, 0, 0, 0, 0}}]) → shift
Circle(((Element[shift, n] * π) + (((-1)^(Element[PIE, n]), 0) * Element[O_n, Element[Numel, modulo13(n)]]), (Element[O_n, Element[Numel, modulo13(n)]] * (0, (-1)^(Element[shift, n])))), (Element[O_n, Element[Numel, modulo13(n)]] * (0, 1))) → c
Circle(((Element[shift, n] * π) + (((-1)^(Element[PIE, n]), 0) * Element[O_n, Element[Numel, modulo13(n)]]), (Element[O_n, Element[Numel, modulo13(n)]] * (0, (-1)^(Element[shift, n])))), (Element[O_n, Element[Numel, modulo13(n)]] * (0, 1))) → d
Sequence(Circle[O_n(t), (O_n(t) * (0, 1))], t, 1, n) → l1
Sequence(Circle[((Element[shift, t] * π) + (((-1)^(Element[PIE, t]), 0) * Element[O_n, Element[Numel, modulo13(t)]]), (Element[O_n, Element[Numel, modulo13(t)]] * (0, (-1)^(Element[shift, t])))), (Element[O_n, Element[Numel, modulo13(t)]] * (0, 1))], t, 1, n) → l2