交通：速度7

几何画板及绘图内容加载中，请稍等……

2016-03-08 04:00

所属专题 Traffic

①本范例演示了交通流中的速度变化与线性函数、阶梯函数的交点关系；②涉及的核心数学概念包括线性函数、阶梯函数、交点计算、序列生成；③作图要点使用了GeoGebra命令Sequence（数列）、Segment（线段）；④适合高中阶段学习函数图像与实际应用结合的数学教学。

GeoGebra 命令及参数

Sequence((n, f(n)), n, 0, t_1) → markers_1
Sequence((n, g(n)), n, 0, t_1) → markers_2
Segment((-1.9, 0), (-1.1, 0)) → line_0
Sequence(i - 0.4 < x < i + 0.4, i, 0, t_1) → photo_{road}
Sequence(x = i - 0.4, i, 0, t_1) → left_{road}
Sequence(x = i + 0.4, i, 0, t_1) → right_{road}
Sequence(x = i, i, 0, t_1) → mid_{road}
Sequence(Translate[truck_p, Vector[(0, f(0)), (i, f(i))]], i, 0, t_1) → photo_b
Sequence(Translate[bike_p, Vector[(0, g(0)), (i - g_y(i), g(i))]], i, 0, t_1) → photo_r
Segment((-1.9, 200), (-1.1, 200)) → line_{200}
Sequence((n, j(n)), n, 0, t_1) → markers_3
Sequence(Translate[car_p, Vector[(0, j(0)), (i - j_y(i), j(i))]], i, 0, t_1) → photo_c