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Multiplication of Complex Numbers by Integers

Multiplication of Complex Numbers by Integers
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2019-04-02 22:35
Coordinate GeometryComplex Number
This example illustrates the multiplication of complex numbers by integers. Key mathematical concepts include the multiplication of complex numbers and their geometric representation. Using GeoGebra commands such as Segment, Rotate, and Angle, the geometric meaning of multiplying complex numbers by integers is visually demonstrated. Suitable for students at the junior high school level and above to learn basic operations with complex numbers.

GeoGebra Commands & Parameters

  1. Segment((0, 0), z_{1}) → f
  2. Segment((0, 0), z_{2}) → g
  3. Rotate(z_{1}, 180°, (0, 0)) → z_3
  4. Angle(z_{1}, (0, 0), z_3) → α
  5. Segment((0, 0), z_{4}) → h
  6. Segment((0, 0), z_{5}) → i

AI Drawing Prompt Reference

Draw a line segment from the origin to complex number z1 and another from the origin to complex number z2, then rotate z1 by 180 degrees around the origin to get z3, measure the angle between z1, the origin, and z3 to get angle α, and draw line segments from the origin to complex numbers z4 and z5 to illustrate the geometric meaning of multiplying complex numbers by integers.
The prompt above was compiled from the original drawing commands and is for reference only.