在数轴上绘制整数:几何作图与数列概念

在数轴上绘制整数:几何作图与数列概念
几何画板及绘图内容加载中,请稍等……
2016-07-09 00:55
本范例演示如何在数轴上准确绘制整数点,展示整数与数轴的对应关系。核心数学概念包括整数集合、数轴表示法及几何作图技巧。作图要点包括使用GeoGebra命令如Random、Segment、Sequence等创建整数点,以及通过Join和Point命令连接整数点。适合初中生学习整数概念及几何作图方法,也可用于数学教学演示。

GeoGebra 命令及参数

  1. Random(20, 40) → Int5
  2. Random(15, Int5 - 5) → Int4
  3. Random(10, Int4 - 5) → Int3
  4. Random(5, Int3 - 5) → Int2
  5. Segment(StartPoint, EndPoint) → MainSegment
  6. Sequence((i, 0), i, x(StartPoint) + 5, x(EndPoint) - 5, 5) → TickMarksSequence
  7. Random(0, Int2 - 5) → Int1
  8. Sequence(Text[i, (i - 0.4, -2)], i, 0, 40, 5) → DisplayTickMarksSequence
  9. Sequence(Segment[(i / 10, 2.2), (i / 10, 25)], i, -100, 500, 1) → CustomGridSegments
  10. Sequence((i, 1), i, -5, 45, 1) → CustomGridPoints
  11. Join({CustomGridPoints, CustomGridSegments}) → CustomFullGrid
  12. Point(CustomFullGrid) → Point1
  13. Point(CustomFullGrid) → Point2
  14. Point(CustomFullGrid) → Point3
  15. Point(CustomFullGrid) → Point4
  16. Point(CustomFullGrid) → Point5
  17. If(Int1 < 10, LaTeX[Text["\," + Int1]], LaTeX[Text[Int1]]) → IntDisplay1
  18. If(Int2 < 10, LaTeX[Text["\," + Int2]], LaTeX[Text[Int2]]) → IntDisplay2
  19. If(Int3 < 10, LaTeX[Text["\," + Int3]], LaTeX[Text[Int3]]) → IntDisplay3
  20. If(Int4 < 10, LaTeX[Text["\," + Int4]], LaTeX[Text[Int4]]) → IntDisplay4
  21. If(Int5 < 10, LaTeX[Text["\," + Int5]], LaTeX[Text[Int5]]) → IntDisplay5
  22. Polygon(A1, B1, C1) → Triangle1, c1, a1, b1
  23. Polygon(A2, B2, C2) → Triangle2, c2, a2, b2
  24. Polygon(A3, B3, C3) → Triangle3, c3, a3, b3
  25. Polygon(A4, B4, C4) → Triangle4, c4, a4, b4
  26. Polygon(A5, B5, C5) → Triangle5, c5, a5, b5
  27. Shuffle(PointsList) → PointsListShuffled
  28. LaTeX(Text["\checkmark"]) → RightCheck
  29. LaTeX(Text["×"]) → WrongCheck
  30. Text("Plot each number on the number line. ") → InstGen
  31. Text("To plot, drag the triangle to the appropriate location on the number line. ") → text1

AI 绘图提示语参考

请绘制一个数轴,上面标有整数点。整数点之间用线段连接,并在数轴上添加标记。数轴从左到右表示整数的顺序,标记包括整数本身和它们的顺序关系。构造时,先画出数轴,然后添加整数点,连接这些点,最后添加标记以显示整数的顺序和位置。
以上提示语为根据原始绘图命令整理而来,仅供参考。