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Locus Problem (3)

Locus Problem (3)
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2016-10-14 11:14
Coordinate GeometryLocus
In collections Conic Sections Locus Constructions
This example demonstrates a locus problem involving a hyperbola. Using GeoGebra commands such as Circle, Segment, PointIn, Point, LineBisector, Ray, Intersect, Midpoint, and Hyperbola, a dynamic geometric model is constructed. Suitable for high school mathematics education, it helps students understand the concept of a locus and the properties of hyperbolas.

GeoGebra Commands & Parameters

  1. Circle(O, R) → c
  2. Segment(O, R) → f
  3. PointIn(a) → A
  4. Point(c) → D
  5. LineBisector(A, D) → g
  6. Ray(O, D) → h
  7. Intersect(g, h) → E
  8. Segment(O, E) → i
  9. Segment(E, A) → j
  10. Midpoint(O, E) → F
  11. Circle(F, b / 2) → d
  12. Hyperbola(O, A, E) → e