圆中的分数楔形

圆中的分数楔形
几何画板及绘图内容加载中,请稍等……
2015-11-07 08:12
这是一个简单的工具,用于在圆上绘制分数。该范例展示了如何使用GeoGebra命令绘制分数楔形。主要涉及的数学概念包括分数和圆的几何性质。通过调整参数,可以动态地改变楔形的大小和位置。适合初中及以上学生学习分数和圆的相关知识。

GeoGebra 命令及参数

  1. Sequence(Point[{cos(90° + ((360 * ° / wedges) * i)), sin(90° + ((360 * ° / wedges) * i))}], i, 0, wedges - 1) → list1
  2. Sequence(Segment[(0, 0), Element[list1, i]], i, 1, wedges) → list2
  3. Element(list1, offset + 1) → first
  4. If(offset + 1 + size ≟ wedges, Element[list1, wedges], Element[list1, Mod[offset + 1 + size, wedges]]) → second
  5. Circle((0, 0), 1) → c
  6. Sector(c, first, second) → d
  7. Sequence(Point[{cos(90° + ((360 * ° / Wedges) * i)) + apart, sin(90° + ((360 * ° / Wedges) * i))}], i, 0, Wedges - 1) → list3
  8. Element(list3, Offset + 1) → first_1
  9. Sequence(Point[{cos(90° + ((360 * ° / wedges) * i)), sin(90° + ((360 * ° / wedges) * i))}], i, 0, wedges - 1) → list1_1
  10. If(Offset + 1 + Size ≟ Wedges, Element[list3, Wedges], Element[list3, Mod[Offset + 1 + Size, Wedges]]) → second_1
  11. Sequence(Point[{cos(90° + ((360 * ° / wedges) * i)), sin(90° + ((360 * ° / wedges) * i))}], i, 0, wedges - 1) → list1_2
  12. Circle((apart, 0), 1) → c_1
  13. Sector(c_1, first_1, second_1) → d_1
  14. Element({"Bigger", "Smaller", "Same"}, b + (2 * e) + 1) → left
  15. Element({"Smaller", "Bigger", "Same"}, b + (2 * e) + 1) → text1
  16. Sequence(Segment[(apart, 0), Element[list3, i]], i, 1, Wedges) → list4