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Harmonic Mean Demonstration

Harmonic Mean Demonstration
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2018-02-27 18:30
FunctionCoordinate GeometryGeometric Construction
This example dynamically visualizes the geometric relationship between points and lines to illustrate the concept of harmonic mean; involves core math concepts like harmonic mean, functions, slope, and mean inequality; constructed using GeoGebra commands/objects such as Line, OrthogonalLine, Intersect, Segment, Polygon; suitable for high school mathematics teaching to understand mean inequality and function properties.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. OrthogonalLine(C, f) → g
  3. OrthogonalLine(D, f) → h
  4. Intersect(g, f) → E
  5. Intersect(h, f) → F
  6. Segment(C, F) → i
  7. Segment(D, E) → j
  8. Segment(C, E) → k
  9. Segment(D, F) → l
  10. Segment(E, F) → m
  11. Intersect(j, i) → G
  12. OrthogonalLine(G, m) → n
  13. Intersect(n, m) → H
  14. Segment(G, H) → p
  15. Polygon(C, E, F) → t1, f_1, c_1, e
  16. Polygon(E, F, D) → t2, d, e_1, f_2