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用数轴比较数字

用数轴比较数字
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2020-07-18 04:39
不等式函数图像
①本范例演示如何使用数轴直观比较两个数字的大小；②涉及的核心数学概念为数轴、数字比较、不等式；③作图要点——从下方『构造摘要』提炼用到了Segment（线段）、Sequence（序列）、Random（随机）、GCD（最大公约数）、Distance（距离）、RandomElement（随机元素）、Circle（圆）、Element（元素）、Text（文本）等GeoGebra命令/对象；④适合小学或初中数学教学，用于帮助学生理解数轴与数字比较的直观关系。

GeoGebra 命令及参数

  1. Segment((0, 0), EndPointRight) → NumberLineLength
  2. Sequence(Text[i, ((NumberLineLength / (upperbound - lowerbound) * i) - 0.15 - (NumberLineLength / (upperbound - lowerbound) * lowerbound), -1), true, true], i, 0, upperbound, IncrementLabel) → LabelsPositive
  3. Sequence(Text[i, ((NumberLineLength / (upperbound - lowerbound) * i) - 0.35 - (NumberLineLength / (upperbound - lowerbound) * lowerbound), -1), true, true], i, (-IncrementLabel), lowerbound, (-IncrementLabel)) → LabelsNegative
  4. Sequence(((NumberLineLength / (((upperbound - lowerbound) * split)) * i), 0), i, 0, ((upperbound - lowerbound) * split)) → InBetween
  5. Sequence(Text[i, ((NumberLineLength / (upperbound - lowerbound) * i) - 0.15 - (NumberLineLength / (upperbound - lowerbound) * lowerbound), -1), true, true], i, 0, upperbound, 1) → LabelsBetween
  6. Random(2, upperbound) → rd
  7. Random(1, upperbound) → rn
  8. Sequence(((NumberLineLength / (upperbound - lowerbound) * i), 0), i, 0, upperbound - lowerbound, IncrementLabel) → Range
  9. GCD(rd, rn) → gcd
  10. GCD(rd, rn) → g
  11. Random(2, upperbound) → rd_1
  12. Random(1, upperbound) → rn_1
  13. GCD(rd_1, rn_1) → gcd_1
  14. GCD(rd_1, rn_1) → g_1
  15. Random(2, upperbound) → rd_2
  16. Random(1, upperbound) → rn_2
  17. GCD(rd_2, rn_2) → gcd_2
  18. GCD(rd_2, rn_2) → g_2
  19. Random(2, upperbound) → rd_3
  20. Random(1, upperbound) → rn_3
  21. GCD(rd_3, rn_3) → gcd_3
  22. GCD(rd_3, rn_3) → g_3
  23. Distance(A, B) → distancecheck
  24. RandomElement(PickTwo) → RandomPick1
  25. RandomElement(PickTwo) → RandomPick2
  26. Circle(place, 1) → c
  27. Segment(comparepoint1, place) → segment1
  28. Segment(comparepoint2, place) → segment2
  29. Segment(comparepoint3, place) → segment3
  30. Circle(comparepoint1, 0.7) → hidepoint1
  31. Circle(comparepoint3, 0.7) → hidepoint3
  32. Circle(comparepoint2, 0.7) → hidepoint2
  33. Circle(place, 1) → circleoutline
  34. Element(PickTwoNumeric, IndexOf[RandomPick1, PickTwo]) → RandomPickNumeric1
  35. Element(PickTwoNumeric, IndexOf[RandomPick2, PickTwo]) → RandomPickNumeric2
  36. Text("Drag the correct sign into the circle.") → text1
  37. Text("Use < or > to compare the two fractions. The number line is provided to help you.") → text2

AI 绘图提示语参考

绘制一条水平数轴，从负刻度延伸到正刻度，刻度间隔均匀并标注整数。在数轴上方放置两个随机生成的真分数点，用不同颜色标记。在两个分数点之间画一个圆形区域，内部留空，用于放置比较符号。从每个分数点向圆形区域各画一条线段，表示比较关系。在数轴下方添加提示文字，说明拖动正确的符号（大于或小于）到圆内，以比较两个分数的大小。整体布局清晰，适合教学演示。
以上提示语为根据原始绘图命令整理而来，仅供参考。