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Sum of Two Complex Numbers Using Parallelogram Rule

Sum of Two Complex Numbers Using Parallelogram Rule
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2015-03-07 11:34
VectorComplex NumberGeometric Construction
This example demonstrates the parallelogram rule for the sum of two complex numbers. Key mathematical concepts include complex numbers and vectors. Using GeoGebra commands such as Intersect, Vector, Point, and Polygon, the geometric meaning of vector addition is vividly illustrated. Suitable for high school mathematics education, particularly in complex numbers and vector courses.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → C
  2. Vector(C, A) → u
  3. Vector(C, B) → v
  4. Point(w) → D
  5. Polygon(C, A, D, B) → 多边形1, c, a, d, b

AI Drawing Prompt Reference

Draw two vectors u and v starting from the origin C on the complex plane. Use the parallelogram rule to construct a parallelogram with u and v as adjacent sides, and the diagonal represents the sum vector w, ending at point D.
The prompt above was compiled from the original drawing commands and is for reference only.