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Dynamic Illustration of Plotting Points (x,y)

Dynamic Illustration of Plotting Points (x,y)
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2017-11-06 15:58
VectorCoordinate GeometryGraphing
This example demonstrates the process of plotting points (x,y) in the coordinate plane. It involves core math concepts like coordinate geometry, vectors, and transformations. GeoGebra commands and objects used include Random, Intersect, Dilate, Vector, and Distance for constructing the illustration. Suitable for high school mathematics education to understand point coordinates and geometric transformations.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → a
  2. Random(-10, 10) → b
  3. Intersect(f, g) → C
  4. Intersect(f, h) → D
  5. Dilate(A, If[0 < e ≤ 1, 1 - e, 0], C) → A'
  6. Vector(E, A') → u
  7. Distance(E, C) → distanceEC
  8. Distance(A, C) → distanceAC
  9. Dilate(C, If[1 < e ≤ 2, 2 - e, 0], D) → C'
  10. Vector(C, C') → v
  11. Intersect(g, xAxis) → F
  12. Intersect(f, g) → G
  13. Distance(G, D) → distanceGD