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Locus of Midpoint of Intersection of Circle and Line

Locus of Midpoint of Intersection of Circle and Line
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2015-05-11 17:00
CircleCoordinate GeometryLocus
This example demonstrates the locus of the midpoint of intersection between a circle and a line. Key math concepts include circle, line, intersection, midpoint, and locus. It is constructed using GeoGebra commands Intersect and Midpoint, involving objects like circle c, point D, line m, and points a, A, B, M. Suitable for high school mathematics, illustrating the application of locus and coordinate geometry.

GeoGebra Commands & Parameters

  1. Intersect(c, a, 1) → A
  2. Intersect(c, a, 2) → B
  3. Midpoint(A, B) → M

AI Drawing Prompt Reference

Draw a circle c and a line l1 that intersects the circle at points A and B. Then, find the midpoint M of A and B. This diagram illustrates the locus of the midpoints of the intersection points between a circle and a line.
The prompt above was compiled from the original drawing commands and is for reference only.