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Division Relationship Tool

Division Relationship Tool
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2016-02-04 00:07
TrigonometryGeometric Construction
This example visually demonstrates the relationship between the dividend, divisor, and quotient. It involves core math concepts like division operations, fractional representation, and geometric intuition. Construction highlights include using GeoGebra commands/objects such as Point, Segment, OrthogonalLine, Intersect, Polygon, Textfield, and LaTeX. Suitable for middle school and above learners to understand the geometric meaning of division and fractional representation.

GeoGebra Commands & Parameters

  1. Point(Circle[A, a]) → B
  2. Segment(A, B) → b
  3. OrthogonalLine(B, b) → c
  4. Point(yAxis) → C
  5. OrthogonalLine(C, yAxis) → d
  6. Intersect(c, d) → D
  7. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
  8. Point(Circle[A, e]) → E
  9. Segment(A, E) → f
  10. Point(yAxis) → F
  11. OrthogonalLine(F, yAxis) → g
  12. OrthogonalLine(E, b) → h
  13. Intersect(g, h) → G
  14. Polygon(F, G, E, A) → poly2, f_1, g_1, e_1, a_2
  15. Textfield(a) → InputBox1
  16. Textfield(e) → InputBox2
  17. Textfield(i) → InputBox3
  18. Point(yAxis) → H
  19. Point(yAxis) → K
  20. Polygon(H, I, J, K) → poly3, h_1, i_1, j_1, k
  21. Point(h_1) → L
  22. Polygon(L, M, J, I) → poly4, l, m, j_2, i_2
  23. Point(yAxis) → O
  24. Polygon(K, J, N, O) → poly5, k_1, j_3, n, o
  25. Point(n) → P
  26. Polygon(N, P, M, J) → poly6, n_1, p, m_1, j_4
  27. Segment(Q, R) → q
  28. Segment(S, T) → r
  29. LaTeX(A, true, true) → text16