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Hyperbola Demonstration by Rasha Tarek

Hyperbola Demonstration by Rasha Tarek
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2015-11-04 02:14
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the definition and geometric properties of a hyperbola, showing its formation through the position relationship between foci and directrices. Core mathematical concepts include hyperbola definition, foci, directrices, transverse axis, conjugate axis, and eccentricity. It is constructed using GeoGebra commands like Point, Focus, Segment, and Line. Suitable for high school students learning about hyperbolas and their geometric properties, as well as analytical geometry instruction.

GeoGebra Commands & Parameters

  1. Point(c) → A
  2. Focus(c) → F_1, F_2
  3. Segment(F_2, A) → a
  4. Segment(F_1, A) → b
  5. Point(a) → B
  6. Point(b) → E
  7. Segment(V_1, V_2) → e
  8. Segment((-1, 1), (1, 1)) → f
  9. Segment((-1, -1), (1, -1)) → g
  10. Segment((-1, -1), (-1, 1)) → h
  11. Segment((1, 1), (1, -1)) → i
  12. Line((-1, 1), (1, -1)) → j
  13. Line((-1, -1), (1, 1)) → k