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Complex Roots Lab by 1067752

Complex Roots Lab by 1067752
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2015-05-12 00:09
VectorSolid GeometryComplex Number
This example demonstrates the vector representation and geometric relationships of complex roots in three-dimensional space. It involves core concepts like complex numbers, vectors, 3D geometry, and rotation. GeoGebra commands such as Intersect, Point, Circle, Rotate, and Angle are used in the construction. Suitable for high school and above mathematics learning to understand the integration of complex numbers and 3D geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Rotate(B, 51.4285714*°, A) → B'
  5. Angle(B, A, B') → α
  6. Rotate(B', 51.4285714*°, A) → B''
  7. Angle(B', A, B'') → β
  8. Rotate(B'', 51.4285714*°, A) → B'''
  9. Angle(B'', A, B''') → γ
  10. Rotate(B''', 51.4285714*°, A) → C
  11. Angle(B''', A, C) → δ
  12. Rotate(C, 51.4285714*°, A) → C'
  13. Angle(C, A, C') → ε
  14. Rotate(C', 51.4285714*°, A) → C''
  15. Angle(C', A, C'') → ζ
  16. Rotate(C'', 51.4285714*°, A) → C'''
  17. Angle(C'', A, C''') → η