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Parabola Construction Example by Cree

Parabola Construction Example by Cree
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2015-09-18 07:24
FunctionCoordinate GeometryDerivativeGeometric ConstructionLocus
This example demonstrates the geometric construction and properties of a parabola. It involves core mathematical concepts such as parabola, ratios, set theory, scalene triangles, unit circle, and derivatives. The construction uses GeoGebra commands like Line, Point, LineBisector, OrthogonalLine, Intersect, and Locus with objects A, B, a, C, D, b, c, E, loc1, etc. It is suitable for high school mathematics teaching or student exploration of parabolic properties.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → D
  3. LineBisector(C, D) → b
  4. OrthogonalLine(D, a) → c
  5. Intersect(b, c) → E
  6. Locus(E, D) → loc1

AI Drawing Prompt Reference

Draw a line segment, take a point on it, construct its perpendicular bisector, then draw a line perpendicular to the segment through the intersection of the bisector and the segment, and finally plot the locus of points with the segment as the focus to demonstrate the geometric construction and properties of a parabola.
The prompt above was compiled from the original drawing commands and is for reference only.