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移动的球形光斑

移动的球形光斑
几何画板及绘图内容加载中，请稍等……
2020-05-18 04:33
函数解析几何立体几何
该范例展示了移动的球形光斑。它涉及球体、散点图等核心数学概念。通过使用CurveCartesian、Surface、Sphere等GeoGebra命令，可以构造出动态的球形光斑。适合用于高中或大学的几何、立体几何、函数图像等课程。

GeoGebra 命令及参数

  1. CurveCartesian(x(O) + ((R * cos(k)) * cos(1 + sin((n * k / m)))), y(O) + (R * cos(k)), z(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → e
  2. Surface(e, (2 * π), zAxis) → f
  3. CurveCartesian(x(O) + ((R * cos(k)) * cos(1 + sin((n * k / m)))), y(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), z(O) + (R * cos(k)), k, ((-π)) / 2, π / 2) → h
  4. Surface(h, (2 * π), yAxis) → i
  5. CurveCartesian(x(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), y(O) + (R * cos(k)), z(O) + ((R * cos(k)) * cos(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → j
  6. Surface(j, (2 * π), xAxis) → k
  7. CurveCartesian(x(O) + ((R * cos(k)) * cos(1 + sin((n * k / m)))), y(O) + (R * cos(k)), z(O) - (((1.2 * R) * sin(k)) * sin(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → l
  8. CurveCartesian(x(O) + (((0.9 * R) * cos(k)) * cos(1 + sin((n * k / m)))), y(O) - (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), z(O) + ((0.9 * R) * cos(k)), k, ((-π)) / 2, π / 2) → o
  9. CurveCartesian(x(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), y(O) + (R * cos(k)), z(O) - ((R * cos(k)) * cos(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → p
  10. CurveCartesian(x(O) - (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), y(O) - (R * cos(k)), z(O) + (((0.95 * R) * cos(k)) * cos(1 + sin((n * k / m)))), k, ((-π)) / 2, π / 2) → q
  11. Surface(l, (2 * π), zAxis) → r
  12. Surface(o, (2 * π), yAxis) → s
  13. CurveCartesian(x(O) + (((0.9 * R) * cos(k)) * cos(1 + sin((n * k / m)))), y(O) + (((1.3 * R) * sin(k)) * sin(1 + sin((n * k / m)))), z(O) + ((0.9 * R) * cos(k)), k, ((-π)) / 2, π / 2) → a
  14. Surface(q, (2 * π), xAxis) → b
  15. Sphere(O, (1.15 * R)) → c