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Law of Reflection Demonstration

Law of Reflection Demonstration
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2020-04-22 14:41
AngleVectorGeometric Construction
This example demonstrates the law of reflection, involving key mathematical concepts. Using GeoGebra commands such as Segment, Point, and OrthogonalLine, the path of reflected light is clearly shown. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Point(a) → C
  3. OrthogonalLine(C, a) → b
  4. OrthogonalLine(C, a) → c
  5. Point(c) → Normal
  6. Segment(C, Normal) → d
  7. Rotate(Normal, α, C) → D'
  8. Angle(Normal, C, D') → β
  9. Ray(C, D') → e
  10. Vector(D', C) → u
  11. Rotate(B, 90° - β, C) → B'
  12. Angle(B, C, B') → ε
  13. Ray(C, B') → f
  14. Line(B', f) → g
  15. Point(g) → E
  16. Angle(E, C, Normal) → ζ
  17. Point(g) → F
  18. Vector(C, F) → v
  19. Segment(P, Q) → i_1
  20. Vector(Ob, P_1) → w
  21. Line(Ob, P_1) → j
  22. Vector(Ob, P_2) → k
  23. OrthogonalLine(P_2, i_1) → l
  24. Point(l) → H
  25. Segment(P_2, H) → m
  26. Point(w) → I
  27. Point(k) → J
  28. Angle(I, Ob, J) → η
  29. Point(k) → K
  30. Point(m) → M
  31. Angle(M, P_2, K) → θ
  32. Distance(P_1, Ob) → distanceP1Ob
  33. Line(P_2, Im) → n
  34. Segment(P_2, Im) → p
  35. Point(w) → N
  36. Vector(P_1, N) → q
  37. Translate(P_1, q) → O
  38. Vector(P_1, O) → r_1
  39. Ray(P_1, Im) → s
  40. Point(n) → R
  41. Vector(P_2, R) → t
  42. Point(r_1) → S
  43. Point(k) → T
  44. Angle(S, Ob, T) → i
  45. Point(r_1) → U
  46. Vector(Ob, U) → u_1
  47. Point(u_1) → V
  48. Vector(P, V) → v_1
  49. Line(W, Z) → f_1
  50. Point(m) → A_1
  51. Angle(R, P_2, A_1) → r
  52. Point(t) → B_1
  53. Distance(P, Ob) → distancePOb
  54. Distance(P, Im) → distancePIm

AI Drawing Prompt Reference

Draw a diagram of light reflection, including the light source B, reflection point C, reflection surface a, normal b, reflected ray d, reflection angle β, incident ray e, incident angle ε, reflected ray f, reflected surface g, reflection point E, reflection angle ζ, incident ray h, incident point P, reflection surface i, reflection point Q, reflection angle θ, incident ray j, incident point Ob, reflection surface k, reflection point L, reflection angle η, incident ray m, incident point P2, reflection surface n, reflection point Im, reflection angle i, incident ray o, incident point P1, reflection surface p, reflection point N, reflection angle θ, incident ray q, incident point O, reflection surface r, reflection point S, reflection angle θ, incident ray s, incident point R, reflection surface t, reflection point V, reflection angle θ, and incident ray u.
The prompt above was compiled from the original drawing commands and is for reference only.