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数线上定位分数

数线上定位分数
几何画板及绘图内容加载中，请稍等……
2013-02-16 07:56
解析几何几何作图
所属专题 Fraction Book Fraction Book
这个动态演示通过游戏的形式，帮助小学生理解如何在数线上定位分数。核心数学概念包括分数。构造摘要中使用了Random, Corner, Polygon, Midpoint, Sequence, Vector等GeoGebra命令。适合小学高年级或初中低年级学生使用。

GeoGebra 命令及参数

  1. Random(1, 6) → aa
  2. Random(1, 9) → bb
  3. Corner(5) → dims
  4. Polygon(Corner[frac, 1], Corner[frac, 2], Corner[frac, 3], Corner[frac, 4]) → q1, f, g, h, i
  5. Midpoint(h) → MM
  6. Sequence((0, 0) + (i / bb, 0), i, 0, (bb * 10)) → parts, {(0, 0), (0.14285714285714285, 0), (0.2857142857142857, 0), (0.42857142857142855, 0), (0.5714285714285714, 0), (0.7142857142857143, 0), (0.8571428571428571, 0), (1, 0), (1.1428571428571428, 0), (1.2857142857142858, 0), (1.4285714285714286, 0), (1.5714285714285714, 0), (1.7142857142857142, 0), (1.8571428571428572, 0), (2, 0), (2.142857142857143, 0), (2.2857142857142856, 0), (2.4285714285714284, 0), (2.5714285714285716, 0), (2.7142857142857144, 0), (2.857142857142857, 0), (3, 0), (3.142857142857143, 0), (3.2857142857142856, 0), (3.4285714285714284, 0), (3.5714285714285716, 0), (3.7142857142857144, 0), (3.857142857142857, 0), (4, 0), (4.142857142857143, 0), (4.285714285714286, 0), (4.428571428571429, 0), (4.571428571428571, 0), (4.714285714285714, 0), (4.857142857142857, 0), (5, 0), (5.142857142857143, 0), (5.285714285714286, 0), (5.428571428571429, 0), (5.571428571428571, 0), (5.714285714285714, 0), (5.857142857142857, 0), (6, 0), (6.142857142857143, 0), (6.285714285714286, 0), (6.428571428571429, 0), (6.571428571428571, 0), (6.714285714285714, 0), (6.857142857142857, 0), (7, 0), (7.142857142857143, 0), (7.285714285714286, 0), (7.428571428571429, 0), (7.571428571428571, 0), (7.714285714285714, 0), (7.857142857142857, 0), (8, 0), (8.142857142857142, 0), (8.285714285714286, 0), (8.428571428571429, 0), (8.571428571428571, 0), (8.714285714285714, 0), (8.857142857142858, 0), (9, 0), (9.142857142857142, 0), (9.285714285714286, 0), (9.428571428571429, 0), (9.571428571428571, 0), (9.714285714285714, 0), (9.857142857142858, 0), (10, 0)}
  7. Polygon(A + (NumSq - 1, 0), A + (NumSq, 0), A + (NumSq, -1), A + (NumSq - 1, -1)) → last, j, k, l, m
  8. Sequence(Polygon[A + (i / bb, 0), A + ((i + 1) / bb, 0), A + ((i + 1) / bb, -1), A + (i / bb, -1)], i, 0, aa - 1) → l1, {0.14285714285714285, 0.14285714285714288}
  9. Sequence(Polygon[A, A + (i, 0), A + (i, -1), A + (0, -1)], i, 1, NumSq - 1) → wholes, {}
  10. Sequence(Segment[A + (i / bb, 0), A + (i / bb, -1)], i, 0, (bb * NumSq) - 1) → segments, {1, 1, 1, 1, 1, 1, 1}
  11. Sequence(Segment[A + (i / bb, -1), A + (i / bb, -1.5)], i, 0, aa) → connecting, {0.5, 0.5, 0.5}
  12. Vector(MM, (x(MM), y(MM) + 0.24)) → u
  13. Polygon(H, H + (0.35, 0), H + (0.35, 0.51), H + (0, 0.51)) → A2q2, n, p, q, r

AI 绘图提示语参考

画一个数轴，从0到10，每隔1/7画一个刻度。随机选择一个分数，比如1/7，将其标记在数轴上。然后画一个向上的箭头，箭头尖端距离标记点0.24个单位。最后，画一个矩形，代表分数1/7的图形。
以上提示语为根据原始绘图命令整理而来，仅供参考。