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Parabola Reflection - Light Bulb

Parabola Reflection - Light Bulb
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2016-02-14 12:03
FunctionCoordinate GeometryTransformation
In collections Conic Section Collection
This example demonstrates the geometric phenomenon of parabola reflection. Key mathematical concepts include parabolas, reflection, and geometric construction. Using GeoGebra commands such as Point, Segment, Intersect, and Tangent, the trajectory of reflected light rays can be dynamically displayed. Suitable for high school mathematics education, particularly in courses related to analytic geometry and optics.

GeoGebra Commands & Parameters

  1. Point(d) → C
  2. Segment(C, B) → b
  3. Intersect(c, b, 1) → D
  4. Tangent(D, c) → e,
  5. OrthogonalLine(D, e) → f
  6. Mirror(B, f) → B'
  7. Ray(D, B') → g
  8. Intersect(c, g, 2) → E
  9. Segment(D, E) → h
  10. Segment(C, B) → i
  11. Segment(D, B) → j
  12. Point(e) → F
  13. Point(e) → H
  14. Angle(B, D, H) → β
  15. Point(h) → G
  16. Angle(F, D, G) → α
  17. Point(e) → I
  18. Point(h) → J
  19. Point(e) → K
  20. Angle(K, D, B) → γ
  21. Angle(J, D, I) → δ