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Addition of Fraction

Addition of Fraction
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2020-08-21 12:41
CircleFunctionGeometric Construction
This example demonstrates the process of adding fractions. The core mathematical concepts involved are fraction addition. Using GeoGebra commands such as Circle, Point, Segment, Sequence, Rotate, etc., a geometric model of fraction addition can be constructed. Suitable for high-grade elementary or junior high school students to learn fraction addition.

GeoGebra Commands & Parameters

  1. Circle(A, 2) → c
  2. Circle(B, 2) → d
  3. Point(c) → C
  4. Segment(A, C) → f
  5. Point(d) → D
  6. Segment(B, D) → g
  7. Sequence(Segment[A, Rotate[C, f°, A]], f, (360°) / b, 360, 360 / b) → l1
  8. Sequence(Segment[B, Rotate[D, f°, B]], f, (360°) / n, 360, 360 / n) → l2
  9. Circle(E, 2) → e
  10. Rotate(C, (360° * a / b), A) → C'
  11. Angle(C, A, C') → α
  12. Rotate(D, (-((360° * m / n))), B) → D'
  13. Angle(D', B, D) → β
  14. CircleSector(A, C, C') → h
  15. CircleSector(B, D', D) → k
  16. LCM(b, n) → i
  17. Textfield(a) → InputBox1
  18. Textfield(b) → InputBox2
  19. Textfield(m) → InputBox3
  20. Textfield(n) → InputBox4
  21. Point(e) → F
  22. Segment(E, F) → t
  23. Sequence(Segment[E, Rotate[F, t°, E]], t, (360°) / b, 360, 360 / b) → l3
  24. Circle(G, 2) → c_1
  25. Point(c_1) → H
  26. Segment(G, H) → f_1
  27. Sequence(Segment[G, Rotate[H, f°, G]], f, (360°) / n, 360, 360 / n) → l4
  28. Rotate(F, (360° * a / b), E) → F'
  29. Angle(F, E, F') → γ
  30. Rotate(H, (-((360° * m / n))), G) → H'
  31. Angle(H', G, H) → δ
  32. CircleSector(E, F, F') → d_1
  33. CircleSector(G, H', H) → e_1

AI Drawing Prompt Reference

Draw a circle c and a circle d, and take points C and D on circles c and d respectively. Connect AC and BD. Then rotate point C around point A and rotate point D around point B to form a series of arcs. Next, draw a circle e and take point F, connect EF, and rotate point F around point E to form a series of arcs. Finally, draw a circle c_1 and take point H, connect GH, and rotate point H around point G to form a series of arcs.
The prompt above was compiled from the original drawing commands and is for reference only.