MathPlotAI Logo MathPlotAI

Construction of the Multiplicative Inverse of a Complex Number

Construction of the Multiplicative Inverse of a Complex Number
Loading the math board and drawing, please wait…
2014-06-09 16:53
Coordinate GeometryComplex NumberGeometric Construction
In collections Complex numbers
This example demonstrates how to construct the multiplicative inverse of a complex number. Using GeoGebra, students can visually understand the concept of the multiplicative inverse of a complex number. The construction involves commands such as Intersect, Circle, Point, Line, OrthogonalLine, Angle, Tangent, Mirror, and Segment. Suitable for high school mathematics education, it helps students grasp the basic operations of complex numbers.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 0.99) → c
  3. PointIn(c) → z
  4. Line(z, A) → a
  5. OrthogonalLine(z, a) → b
  6. Point(b) → B
  7. Angle(A, z, B) → α
  8. Intersect(e, b, 1) → C
  9. Tangent(C, e) → d,
  10. Intersect(d, a) → D
  11. Mirror(D, xAxis) → I
  12. Segment(I, D) → f
  13. Point(xAxis) → E
  14. Line(E, A) → g
  15. Intersect(f, g) → F
  16. Angle(E, F, I) → β
  17. Intersect(e, g, 1) → G