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Reflection from a Real Concave Mirror

Reflection from a Real Concave Mirror
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2014-11-23 06:44
VectorCoordinate GeometryGeometric ConstructionLocus
This example demonstrates the reflection of a single ray parallel to the axis from a concave mirror. It involves core mathematical concepts like reflection laws, vectors, isosceles triangles, and coordinate geometry. The construction utilizes GeoGebra commands/objects such as points, circle arcs, intersections, segments, rays, angles, rotations, midpoints, and vectors as outlined in the construction summary. Suitable for high school physics optics teaching and mathematical geometric construction practice.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(yAxis) → B
  3. CircleArc(A, C, B) → c
  4. Intersect(c, xAxis) → F,
  5. CircleArc(A, F, B) → g
  6. Point(g) → D
  7. Segment(A, D) → a
  8. Line(D, xAxis) → b
  9. Point(b) → E
  10. Ray(D, E) → d
  11. Angle(E, D, A) → α
  12. Rotate(A, α, D) → A'
  13. Angle(A, D, A') → β
  14. Ray(D, A') → e
  15. Midpoint(F, A) → G
  16. Point(e) → H
  17. Point(e) → I
  18. Vector(H, I) → u
  19. Point(d) → J
  20. Vector(E, J) → v