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能被4和25整除的规则

能被4和25整除的规则
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2024-01-23 15:07
函数几何作图滑块动画函数图像
所属专题 Teilbarkeitsregeln
本范例通过交互式练习帮助学生掌握可被4和25整除的判定规则。核心数学概念包括：整除性的定义、4的整除规则（看后两位）、25的整除规则（看后两位）。作图要点：利用Textfield文本框接收用户输入，Element和If命令实现答案判断，Shuffle和RandomList实现题目随机生成，ColorText显示正确/错误反馈。包含三个层次的练习：Q1-Q3分别检验学生对规则的理解、应用和灵活运用。适合5-6年级学生，用于训练数感和因数倍数的概念掌握。

GeoGebra 命令及参数

  1. Polygon(Q1E1, Q1E2, 4) → Q1, q1_1, q1_2, q1_3, q1_4, Q1E3, Q1E4
  2. Polygon(Q2E1, Q2E2, 4) → Q2, q2_1, q2_2, q2_3, q2_4, Q2E3, Q2E4
  3. Polygon(Q3E1, Q3E2, 4) → Q3, q3_4, q3_1, q3_2, q3_3, Q3E3, Q3E4
  4. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 4), k, 1, 250]], i], i, 1, 5]) → RandomList4, {884, 796, 760, 52, 884}
  5. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 25), k, 1, 40]], i], i, 1, 5]) → RandomList25, {1000, 100, 150, 1000, 700}
  6. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 100), k, 1, 10]], i], i, 1, 5]) → RandomList100, {1000, 800, 800, 100, 400}
  7. Shuffle(Unique[Join[{RandomList4, RandomList25, RandomList100}]]) → RandomListNum, {52, 400, 150, 1000, 700, 796, 100, 884, 760, 800}
  8. Midpoint(Corner[NumText7, 1], Corner[NumText7, 3]) → Pos7
  9. Midpoint(Corner[NumText10, 1], Corner[NumText10, 3]) → Pos10
  10. Midpoint(Corner[T1830, 1], Corner[T1830, 3]) → Pos1830
  11. Midpoint(Corner[NumText6, 1], Corner[NumText6, 3]) → Pos6
  12. Midpoint(Corner[NumText3, 1], Corner[NumText3, 3]) → Pos3
  13. Midpoint(Corner[T1826, 1], Corner[T1826, 3]) → Pos1826
  14. Midpoint(Corner[NumText5, 1], Corner[NumText5, 3]) → Pos5
  15. Midpoint(Corner[NumText9, 1], Corner[NumText9, 3]) → Pos9
  16. Midpoint(Corner[T2628, 1], Corner[T2628, 3]) → Pos2628
  17. Midpoint(Corner[NumText8, 1], Corner[NumText8, 3]) → Pos8
  18. Midpoint(Corner[NumText4, 1], Corner[NumText4, 3]) → Pos4
  19. Midpoint(Corner[NumText2, 1], Corner[NumText2, 3]) → Pos2
  20. Midpoint(Corner[NumText1, 1], Corner[NumText1, 3]) → Pos1
  21. Textfield(aInput) → InputBox1
  22. Textfield(bInput) → InputBox2
  23. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  24. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {1, 3, 5, 5, 0, 10, 9, 0, 9, 8, 2, 8, 6, 10, 10, 1, 3, 6, 9, 10, 4, 2, 0, 9, 2, 10, 6, 3, 6, 3, 9, 6, 5, 3, 5, 3, 0, 5, 7, 4, 0, 3, 9, 0, 9, 10, 0, 9, 8, 6, 4, 9, 10, 7, 8, 1, 3, 7, 2, 5, 2, 0, 6, 0, 10, 9, 6, 10, 8, 2, 8, 0, 7, 10, 4, 10, 9, 4, 9, 8, 0, 3, 0, 10, 6, 6, 9, 3, 10, 0, 10, 1, 3, 6, 7, 7, 2, 6, 9, 8}
  25. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  26. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {9, 9, 1, 8, 9, 1, 7, 8, 7, 6, 10, 8, 8, 2, 4, 3, 0, 6, 10, 7, 6, 6, 8, 5, 2, 4, 4, 8, 2, 10, 6, 0, 1, 7, 0, 5, 3, 2, 7, 7, 2, 9, 6, 4, 0, 10, 3, 4, 6, 7, 9, 9, 0, 4, 6, 2, 2, 8, 4, 5, 10, 2, 5, 1, 7, 2, 8, 6, 3, 5, 0, 3, 3, 3, 8, 2, 3, 6, 9, 8, 5, 1, 3, 7, 1, 3, 6, 6, 4, 9, 7, 2, 2, 3, 4, 10, 1, 6, 6, 6}
  27. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  28. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  29. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  30. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  31. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  32. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  33. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  34. If(Mod[num1, 100] ≟ 0, 1, Mod[num1, 25] ≟ 0, 3, 2) → num1meta
  35. If(Mod[num2, 100] ≟ 0, 1, Mod[num2, 25] ≟ 0, 3, 2) → num2meta
  36. If(Mod[num3, 100] ≟ 0, 1, Mod[num3, 25] ≟ 0, 3, 2) → num3meta
  37. If(Mod[num4, 100] ≟ 0, 1, Mod[num4, 25] ≟ 0, 3, 2) → num4meta
  38. If(Mod[num5, 100] ≟ 0, 1, Mod[num5, 25] ≟ 0, 3, 2) → num5meta
  39. If(Mod[num6, 100] ≟ 0, 1, Mod[num6, 25] ≟ 0, 3, 2) → num6meta
  40. If(Mod[num7, 100] ≟ 0, 1, Mod[num7, 25] ≟ 0, 3, 2) → num7meta
  41. If(Mod[num8, 100] ≟ 0, 1, Mod[num8, 25] ≟ 0, 3, 2) → num8meta
  42. If(Mod[num9, 100] ≟ 0, 1, Mod[num9, 25] ≟ 0, 3, 2) → num9meta
  43. If(Mod[num10, 100] ≟ 0, 1, Mod[num10, 25] ≟ 0, 3, 2) → num10meta
  44. IsInRegion(Pos1, If[num1meta ≟ 1, Q1, num1meta ≟ 2, Q2, Q3]) → correct1
  45. IsInRegion(Pos2, If[num2meta ≟ 1, Q1, num2meta ≟ 2, Q2, Q3]) → correct2
  46. IsInRegion(Pos3, If[num3meta ≟ 1, Q1, num3meta ≟ 2, Q2, Q3]) → correct3
  47. IsInRegion(Pos4, If[num4meta ≟ 1, Q1, num4meta ≟ 2, Q2, Q3]) → correct4
  48. IsInRegion(Pos5, If[num5meta ≟ 1, Q1, num5meta ≟ 2, Q2, Q3]) → correct5
  49. IsInRegion(Pos6, If[num6meta ≟ 1, Q1, num6meta ≟ 2, Q2, Q3]) → correct6
  50. IsInRegion(Pos7, If[num7meta ≟ 1, Q1, num7meta ≟ 2, Q2, Q3]) → correct7
  51. IsInRegion(Pos8, If[num8meta ≟ 1, Q1, num8meta ≟ 2, Q2, Q3]) → correct8
  52. IsInRegion(Pos9, If[num9meta ≟ 1, Q1, num9meta ≟ 2, Q2, Q3]) → correct9
  53. IsInRegion(Pos10, If[num10meta ≟ 1, Q1, num10meta ≟ 2, Q2, Q3]) → correct10
  54. Join(Sequence[Element[Sequence[Sequence[Q1E1 + ((i * dfx), ((-k) * dfy)), i, 0, 2], k, 0, 3], j], j, 1, 4]) → PunkteMenge1
  55. Join(Sequence[Element[Sequence[Sequence[Q2E1 + ((i * dfx), ((-k) * dfy)), i, 0, 2], k, 0, 3], j], j, 1, 4]) → PunkteMenge2
  56. Join(Sequence[Element[Sequence[Sequence[Q3E1 + ((i * dfx), ((-k) * dfy)), i, 0, 2], k, 0, 3], j], j, 1, 4]) → PunkteMenge3
  57. Text(CorrHelper, A, false, true, 0, 0) → Text11

AI 绘图提示语参考

画一个包含四个圆形区域的图形，分别代表 4 和 25 的除数规则。四个圆形区域的中心分别标记为 1、2、3 和 4，代表四个不同难度的题目。每个圆形区域内有一个小圆形，代表正确答案。图形中还包含一些随机生成的数字，代表题目中的数字。请根据题目难度和数字的位置来确定正确答案的位置。
以上提示语为根据原始绘图命令整理而来，仅供参考。