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Parabola Construction Step by Step

Parabola Construction Step by Step
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2018-12-14 22:41
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the step-by-step construction of a parabola. Key mathematical concepts include the definition and properties of a parabola. Using GeoGebra commands such as Line, Point, Segment, etc., the geometric construction process of a parabola can be visually understood. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → DIRECTRIX
  2. Point(DIRECTRIX) → C
  3. Segment(Focus, C) → b
  4. LineBisector(b) → c
  5. OrthogonalLine(C, DIRECTRIX) → d
  6. Intersect(c, d) → T
  7. Angle(c, b) → α
  8. Angle(c, b) → β
  9. Angle(b, c) → γ
  10. Intersect(b, c) → D
  11. Segment(Focus, D) → l
  12. Intersect(DIRECTRIX, b) → E
  13. Segment(E, D) → m
  14. Angle(DIRECTRIX, d) → δ