Drawing Parabola in Three Ways

Drawing Parabola in Three Ways
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2016-06-30 02:54
This example demonstrates three different methods for constructing a parabola. It involves core mathematical concepts such as the definition of a parabola, focus, directrix, tangent, and integral. The construction uses GeoGebra commands/objects like Point, Line, Segment, LineBisector, OrthogonalLine, Intersect, and Angle. Suitable for high school and above students to understand the geometric properties and algebraic expressions of parabolas.

GeoGebra Commands & Parameters

  1. Point(yAxis) → Fokus
  2. Line(B, C) → Direktrisa
  3. Point(Direktrisa) → A
  4. Segment(A, Fokus) → g
  5. LineBisector(A, Fokus) → Tangenta
  6. OrthogonalLine(A, Direktrisa) → f
  7. Intersect(Tangenta, f) → T
  8. Segment(T, Fokus) → i
  9. Segment(T, A) → j
  10. Point(Direktrisa) → D
  11. Angle(D, A, T) → α