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Function and Locus GeoGebra Demo

Function and Locus GeoGebra Demo
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2016-04-17 15:33
FunctionGeometric ConstructionLocusGraphing
In collections Locus Line Equations demos
This example demonstrates the drawing of function graphs and loci using GeoGebra. It involves core math concepts like functions, loci, circles, line segments, and midpoints. Construction highlights include commands like Circle, Point, Line, Midpoint, Locus, and LocusEquation. Suitable for high school mathematics education to understand function properties and locus generation.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Line(C, B) → a
  4. Midpoint(B, C) → D
  5. Locus(D, C) → loc1
  6. LocusEquation(D, C) → b

AI Drawing Prompt Reference

Draw a function graph and show a locus. Start by creating a circle, then pick a point on it. Connect this point to another point on the circle to form a line segment. Find the midpoint of this segment and use it along with the point on the circle to draw a locus. Finally, display the equation of the locus.
The prompt above was compiled from the original drawing commands and is for reference only.