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Directrix of Hyperbola

Directrix of Hyperbola
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2017-03-03 00:53
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the geometric relationship between the directrix, foci, vertices, and asymptotes of a hyperbola. Key math concepts include hyperbola definition, eccentricity, and analytical geometry principles. Construction involves GeoGebra commands like Point, Segment, OrthogonalLine, Intersect, and Distance to build essential elements. Suitable for high school analytical geometry teaching or exploration by math enthusiasts.

GeoGebra Commands & Parameters

  1. Point(h) → M
  2. Segment(M, F_2) → f
  3. OrthogonalLine(M, Δ_2) → g
  4. Intersect(Δ_2, g) → H
  5. Segment(M, H) → i
  6. Distance(M, F_2) → distanceMF2
  7. Distance(M, H) → distanceMH
  8. Distance(M, H) → MH