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可调节数轴与随机点

可调节数轴与随机点
几何画板及绘图内容加载中，请稍等……
2015-03-13 00:01
解析几何滑块动画
所属专题 ICME 13, TSG 46: Growth and Modelling with KUMULATOR
这是一个可调节的数轴，上面有一个随机生成的点。通过调整数轴的范围，可以观察到不同数值区间内的点。该范例涉及数轴、随机数生成和缩放功能。使用了If, Sequence, Element, Segment, Random, Point, Text等命令。适合初中及以上学生学习数轴概念和随机数生成。

GeoGebra 命令及参数

  1. If(limitslider ≥ 4, Shuffle[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}) → tenthousands
  2. If(limitslider ≥ 5, Shuffle[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}) → hundredthousands
  3. If(limitslider ≥ 3, Shuffle[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}) → thousands
  4. Sequence(Random[0, 100], i, 1, 10) → tens
  5. Element({100, 1000, 10000, 100000, 1000000}, limitslider) → limit
  6. If(limitslider ≥ 2, Shuffle[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], {0, 0, 0, 0, 0, 0, 0, 0, 0, 0}) → hundreds
  7. Element(tenthousands, gradualtimer) → tenthousand
  8. Element(hundredthousands, gradualtimer) → hundredthousand
  9. Element(thousands, gradualtimer) → thousand
  10. Element(tens, gradualtimer) → ten
  11. Element(hundreds, gradualtimer) → hundred
  12. Segment((0, 0), (limit, 0)) → line
  13. If(limitslider ≟ 1, "100", If[limitslider ≟ 2, "1,000", If[limitslider ≟ 3, "10,000", If[limitslider ≟ 4, "100,000", "1,000,000"]]]) → fancylimit
  14. Random(50, 100) → timerupperlimit
  15. Sequence(Point[{(limit / 10 * i), 0}], i, 0, 10) → firststep
  16. Sequence(Text[(limit * i / 10), (x(Element[firststep, i + 1]), 1 / 3)], i, 1, 9) → firstnumbers
  17. Sequence(Point[{(floor(n / (limit / 10)) * limit / 10) + (i * limit / 100), 0}], i, 1, 9) → secondstep
  18. Sequence(Element[firststep, i] - ((x(Corner[Element[firstnumbers, i], 2]) - x(Corner[Element[firstnumbers, i], 1])) / 2, (y(Element[firststep, i]) - y(Corner[Element[firstnumbers, i], 1])) / 2), i, 1, 10) → betterfirstpoints
  19. Sequence(Text[x(Element[secondstep, i]), (x(Element[secondstep, i]), 1 / 3)], i, 1, 9) → secondnumbers
  20. Sequence(Point[{(floor(n / (limit / 100)) * limit / 100) + (i * limit / 1000), 0}], i, 1, 9) → thirdstep
  21. Sequence(Point[{(floor(n / (limit / 1000)) * limit / 1000) + (i * limit / 10000), 0}], i, 1, 9) → fourthstep
  22. Sequence(Point[{(floor(n / (limit / 10000)) * limit / 10000) + (i * limit / 100000), 0}], i, 1, 9) → fifthstep
  23. Sequence(Point[{(floor(n / (limit / 100000)) * limit / 100000) + (i * limit / 1000000), 0}], i, 1, 9) → sixthstep
  24. Sequence(Text[x(Element[thirdstep, i]), (x(Element[thirdstep, i]), 1 / 3)], i, 1, 9) → thirdnumbers
  25. Sequence(Text[x(Element[fourthstep, i]), (x(Element[fourthstep, i]), 1 / 3)], i, 1, 9) → fourthnumbers
  26. Sequence(Text[x(Element[fifthstep, i]), (x(Element[fifthstep, i]), 1 / 3)], i, 1, 9) → fifthnumbers
  27. Sequence(Text[x(Element[sixthstep, i]), (x(Element[sixthstep, i]), 1 / 3)], i, 1, 9) → sixthnumbers
  28. Element(xmin, step) → currentleft
  29. Element(xmax, step) → currentright
  30. If(step < (3 * limitslider) + 4, "?", text2) → text5
  31. Point({(currentleft + currentright) / 2, -2}) → anchorpoint
  32. Text(text5, A - ((Element[xmax, step] - Element[xmin, step]) / 90, 2)) → stickytext
  33. Text(text2, A - ((Element[xmax, step] - Element[xmin, step]) / 90, 2)) → text4

AI 绘图提示语参考

画一个可调整范围的数轴，并在数轴上随机生成一个点。数轴的范围可以从100到1000000，根据滑块调整。在数轴上标出刻度和相应的数字，包括十位、百位、千位、万位、十万位和百万位。数轴上有一个随机生成的点，随着数轴范围的调整，该点也会相应变化。
以上提示语为根据原始绘图命令整理而来，仅供参考。