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Parabola Demonstration by ganesh

Parabola Demonstration by ganesh
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2016-11-09 12:38
VectorFunctionCoordinate GeometryGeometric ConstructionGraphing
This example demonstrates the definition and geometric properties of a parabola. It involves core math concepts like parabola, linear equations, coordinates, and vectors. Construction highlights include using GeoGebra commands such as Point, Parabola, Segment, Distance, OrthogonalLine, Intersect, Ray, and Vector to build the focus, directrix, and dynamic points. Suitable for high school coordinate geometry teaching and mathematical exploration.

GeoGebra Commands & Parameters

  1. Point(pointA) → F
  2. Parabola(F, b) → c
  3. Point(c) → P1
  4. Segment(P1, F) → d
  5. Distance(P1, F) → distanceBA
  6. OrthogonalLine(P1, b) → e
  7. Intersect(b, e) → B1
  8. Segment(B1, P1) → f
  9. Distance(B1, P1) → distanceCB
  10. Point(xAxis) → A
  11. Point(xAxis) → B
  12. Ray(A, B) → j
  13. Segment(B, A) → k
  14. Segment(B, A) → l
  15. Vector(C, D) → u
  16. Vector(C_1, D_1) → u_1
  17. Vector(C_2, D_2) → u_2
  18. Vector(C_3, D_3) → u_3