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Selecting Divisors on Integer Hyperbola

Selecting Divisors on Integer Hyperbola
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2016-08-18 06:58
FunctionSequenceCoordinate Geometry
This example demonstrates selectable divisors on an integer hyperbola. Key mathematical concepts include factorization and sequences. Using GeoGebra commands such as DivisorsList, Factors, and Sequence, the example constructs a dynamic display of divisors on the integer hyperbola. Suitable for middle school and above students or math enthusiasts.

GeoGebra Commands & Parameters

  1. DivisorsList(n) → factors
  2. Factors(n) →
  3. Sequence((Element[factors, k], Element[factors, Length[factors] - k + 1]), k, 1, Length[factors]) → list5
  4. Point(list5) → A
  5. Polygon((0, 0), (x(A), 0), A, (0, y(A))) → poly1, g, h, a, i
  6. Sequence(Segment[(i, 0), (i, Y)], i, 0, X) → list1
  7. Sequence(Segment[(0, i), (X, i)], i, 0, Y) → list3
  8. Sequence((i, n / i), i, 1, n) → list4