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Complex Number Addition & Multiplication

Complex Number Addition & Multiplication
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2015-08-14 23:43
VectorComplex NumberGeometric ConstructionGraphing
This example dynamically demonstrates the addition and multiplication of complex numbers, visually showing their geometric meaning in the complex plane. Core math concepts include geometric representation of complex numbers, vector addition, modulus calculation, and angle operations. GeoGebra commands like PointIn, Intersect, Vector, Translate, Segment, and Angle are used to construct complex numbers, vectors, moduli, and angle relationships. Suitable for high school and above learners to understand the geometric interpretation of complex operations and deepen their understanding of complex number properties.

GeoGebra Commands & Parameters

  1. PointIn(xOyPlane) → z_2
  2. Intersect(xAxis, yAxis) → A
  3. Vector(A, z_2) → u
  4. PointIn(xOyPlane) → z_1
  5. Vector(A, z_1) → v
  6. Translate(A, w1) → z_3
  7. Vector(A, z_4) → a
  8. Segment(A, z_1) → b
  9. Segment(A, z_2) → c
  10. Segment(A, z_4) → d
  11. Angle(xAxis, b, xOyPlane) → α
  12. Angle(xAxis, c, xOyPlane) → β
  13. Angle(xAxis, d) → γ