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Intersections between Circle and Line (I)

Intersections between Circle and Line (I)
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2016-04-14 05:07
CircleCoordinate GeometryGeometric Construction
This example demonstrates how to draw the intersections between a circle and a line using GeoGebra. Key math concepts include circle, line, intersection, and coordinate geometry. It uses commands like Line, Circle, Segment, Intersect. Suitable for high school mathematics teaching or student exploration of geometric problems.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Circle((0, 0), 1) → c
  3. Segment(C, D) → b
  4. Circle(C, D) → d
  5. Intersect(d, a) → target1, target2
  6. Line(O, b) → e
  7. Line(O, C) → f
  8. Intersect(c, e, 2) → E
  9. Line(E, D) → g
  10. Intersect(f, g) → S
  11. Line(target1, S) → h
  12. Line(S, target2) → i
  13. Intersect(c, h, 1) → F
  14. Intersect(c, i, 1) → G
  15. Line(F, G) → j