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Parabola Task

Parabola Task
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2020-02-12 05:21
Coordinate GeometryGeometric Construction
This example demonstrates the geometric properties and reflection characteristics of a parabola. It involves core mathematical concepts such as parabola, reflection, polygons, arithmetic operations, area, and prism. The construction uses GeoGebra commands like Line, Point, Segment, LineBisector, Intersect, OrthogonalLine, and Locus. Suitable for high school mathematics teaching to understand the geometric construction and properties of parabolas.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Point(f) → D
  3. Segment(C, D) → g
  4. LineBisector(C, D) → h
  5. Intersect(h, g) → E
  6. OrthogonalLine(D, f) → i
  7. Intersect(h, i) → F
  8. Locus(F, D) → loc1

AI Drawing Prompt Reference

Draw a parabola through points A and B. Take a point D on the parabola and draw a segment CD. Construct the perpendicular bisector of CD, which intersects the parabola at point E. Draw a line perpendicular to the parabola at point D, and let it intersect the perpendicular bisector at point F. The locus of point F forms the directrix of the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.