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Complex Number and Geometry I - Inequalities

Complex Number and Geometry I - Inequalities
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2017-09-05 01:04
CircleVectorComplex NumberInequalityGeometric Construction
This example dynamically demonstrates the application of inequalities in geometry through the integration of complex numbers. It covers core math concepts like complex numbers, geometric constructions, inequalities, upper and lower sums (Riemann sums), volume, rectangles, percentages, and hyperbolas. Key GeoGebra commands used include Intersect, Vector, OrthogonalLine, Circle, Segment, and Polygon. Suitable for high school and above, it provides an intuitive visualization of the relationship between complex number geometry and inequalities.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Vector(O, z) → u
  3. OrthogonalLine(z, yAxis) → a
  4. OrthogonalLine(z, xAxis) → b
  5. Circle(O, z) → c
  6. Vector(O, ww) → m
  7. OrthogonalLine(z, xAxis) → d
  8. Intersect(d, xAxis) → A
  9. Segment(z, A) → e
  10. Circle(O, A) → f
  11. Intersect(f, xAxis) → B, C
  12. Segment(O, z) → g
  13. OrthogonalLine(z, yAxis) → h
  14. Intersect(h, yAxis) → D
  15. Segment(D, z) → i
  16. Segment(O, z) → j
  17. Segment(z, w) → k
  18. Segment(w, ww) → n
  19. Vector(z, w) → v
  20. Polygon(z, O, w) → poly1, w_1, z_1, o