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Multiplication and Division Operations

Multiplication and Division Operations
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2017-04-05 11:44
VectorFunctionCoordinate Geometry
This example demonstrates basic multiplication and division operations. Key mathematical concepts include multiplication and division. Using GeoGebra commands such as Vector, Length, Angle, Rotate, etc., it constructs geometric figures to help students understand the geometric meaning of multiplication and division. Suitable for high-grade elementary and junior high school students.

GeoGebra Commands & Parameters

  1. Vector(z_1) → u
  2. Vector(z_2) → v
  3. Vector(z_3) → w
  4. Vector(z_4) → f
  5. Length(v) → j
  6. Angle(z_2) → α
  7. Rotate((j * z_1), ((k - 1) * α)) → d'
  8. Vector(d) → p
  9. Vector(d') → p'
  10. Rotate((1 / j * z_1), ((-(k - 1)) * α)) → l'
  11. Vector(l) → q
  12. Vector(l') → q'
  13. Length(z_1) → g
  14. Length(z_3) → h
  15. Angle(Vector[z_1], p') → β
  16. Angle(q', Vector[z_1]) → γ
  17. Length(z_4) → m

AI Drawing Prompt Reference

Draw vector z1, then vectors z2 and z3. Calculate the length j of z2 and the angle α of z3. Rotate z1 by j times to get d', and draw p' with d' as the vector. Then rotate z1 by 1/j times to get l', and draw q' with l' as the vector. Finally, calculate the length m of z4.
The prompt above was compiled from the original drawing commands and is for reference only.