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Hyperbola Construction with Three Points

Hyperbola Construction with Three Points
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2019-08-09 08:10
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to construct a hyperbola using three points. Key mathematical concepts include the properties of hyperbolas and coordinate geometry. Using GeoGebra commands, the construction of the hyperbola is illustrated. Suitable for high school mathematics education, particularly for learning about hyperbolas and coordinate geometry.

GeoGebra Commands & Parameters

  1. Numeric a_{1}(-2)
  2. 0.5
  3. (a_{1}, b_{1})
  4. 1
  5. 2
  6. (a_{2}, b_{2})
  7. 2
  8. -1
  9. (a_{3}, b_{3})
  10. eq1: ((y - b_{1}) * (x - a_{2}) / (((x - a_{1}) * (y - b_{2})))) = (((b_{3} - b_{1}) * (a_{3} - a_{2}))) / (((a_{3} - a_{1}) * (b_{3} - b_{2})))