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Geometric Mean 1.1

Geometric Mean 1.1
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2017-08-22 01:55
FunctionOptimizationGeometric Construction
This example demonstrates the construction of geometric shapes using the geometric mean. The core mathematical concept involved is the geometric mean. Using commands such as Intersect, If, Segment, Semicircle, and Polygon, specific geometric shapes can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. If(option, (0, a), (a, 0)) → B
  3. Segment(A, B) → f
  4. Segment(B, C) → g
  5. Semicircle(A, C) → c
  6. Segment(B, (a, m)) → h
  7. If(option, (b, 0), (0, b)) → D
  8. Segment(A, D) → i
  9. Polygon(A, B, (x(D), y(B)), D) → poly1, j, q, r, s
  10. Polygon(F, E, 4) → poly2, k, l, n, p, G, H