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Hyperbola Construction

Hyperbola Construction
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2019-04-16 22:52
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to construct a hyperbola and its related elements using GeoGebra. Key mathematical concepts involved include the definition of a hyperbola, foci, directrices, asymptotes, and coordinate geometry. The construction utilizes commands and objects such as Circle, Point, Line, Segment, LineBisector, and Intersect. Suitable for high school and above students to understand the properties and geometric construction of hyperbolas.

GeoGebra Commands & Parameters

  1. Circle(O, B) → c
  2. Point(c) → F1
  3. Line(F1, O) → f
  4. Point(c) → E
  5. Segment(F1, F2) → g
  6. LineBisector(g) → h
  7. Intersect(h, f) → X
  8. Intersect(h, g) → M