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Additional Fractions per Unit (Part 1)

Additional Fractions per Unit (Part 1)
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2020-03-07 02:59
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the distribution and variation of additional fractions per unit in geometric figures. It involves core mathematical concepts such as arithmetic operations, fractions, conic sections, equations, statistical characteristics, dilation, and trapezoids. The construction utilizes commands and objects like Random, Point, Rotate, Midpoint, Circle, Segment, Sequence, CircleSector, GCD, and Polygon in GeoGebra. It is suitable for high school mathematics education, focusing on the integration of geometric transformations and fraction operations.

GeoGebra Commands & Parameters

  1. Random(1, 360) → Angle
  2. Point(Ray[A, A + (1, 0)]) → B
  3. Rotate(B, 90°, A) → B'
  4. Midpoint(B', B) → C
  5. Circle(C, r) → c
  6. Rotate(T, α, C) → Partage
  7. Random(1, 10) → n
  8. Random(1, n) → num
  9. Segment(D, E) → b
  10. Sequence(Segment[C, Rotate[Partage, ((i * 360) * ° / n), C]], i, 1, n) → lignes
  11. Random(0, 360) → coupe
  12. CircleSector(C, Partage, Rotate[Partage, (((n - num) * 360) * ° / n), C]) → sect
  13. Segment(F, G) → f
  14. GCD(num, n) → Pgd
  15. Segment(H, I) → h
  16. Segment(J, K) → i
  17. Polygon(L, M, N, O) → poly1, l_1, m_1, n_1, o_1
  18. Segment(R, S) → a_1
  19. Segment(U, V) → b_1