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Parabola Construction and Properties by Ho-Kai Chen

Parabola Construction and Properties by Ho-Kai Chen
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2017-05-22 11:59
FunctionTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the construction of a parabola and its related geometric properties. Key math concepts include the definition of a parabola, the relationship between its focus and directrix, analytical geometry, and geometric construction. The construction uses GeoGebra commands like Point, Segment, Intersect, Circle, and OrthogonalLine. Suitable for high school mathematics education and learning to understand the geometric definition and properties of parabolas.

GeoGebra Commands & Parameters

  1. Point(d) → P
  2. Segment(M, P) → b
  3. Intersect(c, b, 1) → A
  4. Circle(P, A) → e
  5. OrthogonalLine(P, a) → g
  6. Intersect(e, a, 1) → B
  7. Intersect(g, h) → C
  8. Segment(P, C) → i
  9. Segment(P, A) → j
  10. Segment(P, B) → k