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分数加法可视化 by John Ulbright

分数加法可视化 by John Ulbright
几何画板及绘图内容加载中，请稍等……
2016-10-14 00:02
函数几何作图滑块动画函数图像
所属专题 Primary School Mathematics Collection Fraction Book Fraction worksheets Fraction Book Working with fractions
①本范例通过动态图形演示分数加法的计算过程与结果；②涉及核心数学概念包括分数加法、最小公倍数（LCM）、几何表示；③构造要点：使用了Point, Textfield, Polygon, Sequence, LCM, RemoveUndefined等GeoGebra命令/对象，实现分数的图形化表示与动态交互；④适合初中及以上学生学习分数运算，也可用于数学教学演示。

GeoGebra 命令及参数

  1. Point({(a1 * moveTimer), (-2 * moveTimer)}) → a2mover
  2. Point({0, 2 - (4 * moveTimer)}) → a1mover
  3. Textfield(a1text) → InputBox1
  4. Polygon(a1mover, a1mover + (a1, 0), a1mover + (a1, 1), a1mover + (0, 1)) → a1poly, f, g, h, i
  5. Polygon(a2mover, a2mover + (a2, 0), a2mover + (a2, 1), a2mover + (0, 1)) → a2poly, j, k, l, m
  6. Textfield(a2text) → InputBox2
  7. Polygon((0, 2), (a1, 2), (a1, 3), (0, 3)) → a1polyFixed, m_1, n_1, p_1, q_1
  8. Polygon((0, 0), (a2, 0), (a2, 1), (0, 1)) → a2polyFixed, r_1, s_1, t_1, f_2
  9. Point({0, 2 - (4 * barMoveTime)}) → a1barMover
  10. Point({0, (-2 * barMoveTime)}) → a2barMover
  11. Sequence(Segment[(i, 0), (i, 1)], i, 1 / a2denom, ceil(a2) - 1 / a2denom, 1 / a2denom) → list5
  12. Sequence(Segment[(i, 2), (i, 3)], i, 1 / a1denom, ceil(a1) - 1 / a1denom, 1 / a1denom) → list4
  13. LCM(a1denom, a2denom) → a
  14. Sequence(Segment[(0, -2) + (i, 0), (0, -2) + (i, growBarTimer)], i, 1 / a, ceil(a1 + a2) - 1 / a, 1 / a) → list7
  15. Sequence(Polygon[(i, -2), (i + 1, -2), 4], i, 0, ceil(a1 + a2) - 1) → list3
  16. Sequence(Polygon[(i, 0), (i + 1, 0), 4], i, 0, ceil(a2) - 1) → list1
  17. Sequence(Polygon[(i, 2), (i + 1, 2), 4], i, 0, ceil(a1) - 1) → list2
  18. RemoveUndefined(Join[{Sequence[Segment[a1barMover + (i, 0), a1barMover + (i, 1)], i, 1 / a1denom, ceil(a1) - 1 / a1denom, 1 / a1denom], Sequence[Segment[a2barMover + (i, 0), a2barMover + (i, 1)], i, 1 / a2denom, ceil(a2) - 1 / a2denom, 1 / a2denom]}]) → list6