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Hyperbola Propositions and Instructions (6-8)

Hyperbola Propositions and Instructions (6-8)
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2015-12-03 15:48
FunctionCoordinate GeometryInequalityGeometric ConstructionSlider Animation
This example demonstrates geometric properties and propositions of a hyperbola. Key math concepts include hyperbola definition, asymptotes, foci, eccentricity, etc. Construction highlights involve using GeoGebra commands like Point, Intersect, Line, Mirror, and Segment to build the hyperbola and its elements. Suitable for high school and above mathematics learners to understand hyperbola geometry and properties.

GeoGebra Commands & Parameters

  1. Point(hyp) → M
  2. Intersect(yAxis, xAxis) → O
  3. Line(M, O) → c
  4. Mirror(M, yAxis) → M_1
  5. Mirror(M, xAxis) → M_2
  6. Mirror(M, O) → M'
  7. Segment(M, M_1) → d
  8. Segment(M, M_2) → e
  9. Intersect(d, yAxis) → N
  10. Intersect(e, xAxis) → A
  11. Segment(M, N) → f
  12. Segment(N, M_1) → g
  13. Segment(M, A) → h
  14. Segment(A, M_2) → i
  15. Segment(M, O) → j
  16. Segment(O, M') → k