Hyperbola by Locus

Hyperbola by Locus
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2016-10-18 09:58
This example demonstrates the construction of a hyperbola through the locus of points. It involves core mathematical concepts such as the definition of a hyperbola, foci, directrices, eccentricity, and the relationship between points and lines in analytical geometry. The construction uses GeoGebra commands like Circle and Intersect. It is suitable for high school students learning about the geometric properties of hyperbolas and their algebraic expressions.

GeoGebra Commands & Parameters

  1. Circle(F_1, r) → c
  2. Circle(F_2, r - 6) → d
  3. Circle(F_1, r - 6) → e
  4. Circle(F_2, r) → f
  5. Intersect(c, d) → A, B, ,
  6. Intersect(e, f) → C, D, ,