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Weber Problem (Geometric Median)

Weber Problem (Geometric Median)
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2015-06-27 22:46
VectorOptimizationGeometric Construction
In collections Besondere Punkte/Special Points
This example demonstrates the calculation and visualization of the geometric median in the Weber problem. Core math concepts include distance, vector, unit vector, polygon construction, and proportional relationships. Construction highlights involve using GeoGebra commands like Polygon, Vector, UnitVector, and Segment. Suitable for high school and above learners to understand geometric methods in optimization problems.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Vector(P, A) → u
  3. Vector(P, B) → v
  4. Vector(P, C) → w
  5. Vector(P, D) → e
  6. UnitVector(u) → f
  7. UnitVector(v) → g
  8. UnitVector(w) → h
  9. UnitVector(e) → i
  10. Segment(A, C) → k
  11. Segment(B, D) → l
  12. Segment(P, A) → m
  13. Segment(P, B) → n
  14. Segment(P, C) → p
  15. Segment(P, D) → q