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Fraction Division by Juli Jurado i Llamas

Fraction Division by Juli Jurado i Llamas
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2015-11-23 22:37
VectorCoordinate GeometryGeometric Construction
This example demonstrates the geometric intuition and calculation method of fraction division. It involves core mathematical concepts such as fraction operations, geometric figure construction, and vector operations. Key GeoGebra commands used include Segment, VertBars, HorzBars, If, Translate, Polygon, and Midpoint to construct geometric figures and illustrate the process of fraction division. Suitable for middle school and above mathematics learners to understand the practical application and geometric meaning of fraction division.

GeoGebra Commands & Parameters

  1. Segment(F, B) → r
  2. VertBars(A, (x(A) + (n_2 * SqrSize / d_2), SqrSize + y(A)), n_2) → poly1, e, f, g, h, llista1
  3. VertBars((x(A) + (n_2 * SqrSize / d_2), y(A)), (x(A) + SqrSize, SqrSize + y(A)), d_2 - n_2) → poly2, i, j, k, l, llista2
  4. HorzBars(C, (SqrSize + x(C), (n_1 * SqrSize / d_1)), n_1) → poly3, a, b, c, d, llista3
  5. HorzBars((x(C), (n_1 * SqrSize / d_1)), (SqrSize + x(C), SqrSize), d_1 - n_1) → poly4, m, n, p, q, llista4
  6. If(Distance[A, C] < 0.01, true, false) → Over
  7. Translate(llista3, (7, 0)) → llista3'
  8. Translate(llista4, (7, 0)) → llista4'
  9. Translate(poly3, (7, 0)) → poly3'
  10. Translate(poly4, (7, 0)) → poly4'
  11. Segment(H, I) → a_1
  12. Polygon(K, D, L, J) → Polígon1, k_1, d_3, l_1, j_1
  13. Segment(K, I) → s
  14. Segment(J, M) → t
  15. Translate(llista1, (0, -7)) → llista1'
  16. Translate(llista2, (0, -7)) → llista2'
  17. Translate(poly1, (0, -7)) → poly1'
  18. Translate(poly2, (0, -7)) → poly2'
  19. Segment(N, O) → b_1
  20. Polygon(P, I, M, Q) → Polígon2, p_1, i_1, m_1, q_1
  21. Polygon(O, I, R, S) → Polígon3, o, i_2, r_1, s_1
  22. Midpoint(Q, P) → T
  23. Midpoint(G, S) → U