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Symmetrical Beauty of Powers -2b

Symmetrical Beauty of Powers -2b
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2019-04-15 10:13
FunctionTrigonometryCoordinate GeometryTransformationGeometric Construction
This example demonstrates the symmetrical beauty of the power function -2b, involving geometric distribution, geometric mean, and transformations. Key GeoGebra commands used include Polygon, LineBisector, Intersect, Circle, Point, and Segment to construct the geometric representation. Suitable for high school and above, exploring the connection between function graphs and geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 5) → poly1, f, g, h, i, j, C, D, E
  2. LineBisector(E, D) → k
  3. LineBisector(E, A) → l
  4. LineBisector(D, C) → m
  5. LineBisector(C, B) → n
  6. LineBisector(A, B) → p
  7. Intersect(k, m) → K
  8. Circle(K, D) → d
  9. Circle(K, L) → e
  10. Point(e) → M
  11. Segment(M, D) → q
  12. Segment(M, E) → r
  13. Segment(M, A) → s
  14. Segment(M, B) → t
  15. Segment(M, C) → a
  16. Point(d) → F
  17. Segment(K, F) → f_1