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Parabola Loci

Parabola Loci
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2016-01-20 16:09
Coordinate GeometryGeometric ConstructionLocus
This example demonstrates the generation process of parabola loci. It involves parabola, arithmetic mean, angles, and geometric construction. Using GeoGebra commands such as Circle, Intersect, and Locus, a dynamic construction of parabola loci can be achieved. Suitable for high school mathematics education, particularly in coordinate geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, r) → c
  2. Intersect(c, d) → B, C
  3. Locus(B, r) → loc1
  4. Locus(C, r) → loc2

AI Drawing Prompt Reference

Draw a circle c centered at point A with radius r, then find the intersection points B and C of circle c and line d. Use point B to create a locus loc1 starting from B with direction r, and use point C to create a locus loc2 starting from C with direction r. This process demonstrates the generation of parabola loci, involving parabolas, arithmetic mean, angles, and geometric construction.
The prompt above was compiled from the original drawing commands and is for reference only.