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分数扩展与约简互动练习

分数扩展与约简互动练习
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2024-12-07 03:45
所属专题 Wiederholung II: Erweitern & Kürzen, Darstellungsarten
本范例演示如何通过交互式可视化学习分数的扩展与约简。核心数学概念包括：分数的基本性质、分子分母同乘同除分数值不变、分数的简化方法。作图要点：使用Textfield创建输入框实现学生交互，利用Polygon绘制几何图形辅助理解分数大小，使用Segment绘制数轴线段表示分数单位，通过If命令实现答案判断反馈，结合Join命令整合各教学模块。该练习适合五年级学生，可用于课堂同步练习或课后巩固，帮助学生建立数感，掌握分数运算的基本技能。

GeoGebra 命令及参数

  1. Join({{0}, Shuffle[Sequence[1, maxExNum, 1]]}) → listeExVal
  2. If(aInput ≟ 16, bInput ≟ 100, If[aInput ≟ 160, bInput ≟ 1000]) → c2_2
  3. Textfield(aInput) → InputBox1
  4. Textfield(bInput) → InputBox2
  5. If(exVal ≟ 1, c1_1 ∧ c1_2, If[exVal ≟ 2, c2_1 ∧ c2_2, If[exVal ≟ 3, c3_1 ∧ c3_2, If[exVal ≟ 4, c4_1 ∧ c4_2, If[exVal ≟ 5, c5_1 ∧ c5_2, If[exVal ≟ 6, c6_1 ∧ c6_2 ∧ c6_3, If[exVal ≟ 7, c7_1 ∧ c7_2 ∧ c7_3, If[exVal ≟ 8, c8_1, If[exVal ≟ 9, c9_1, If[exVal ≟ 10, c10_1 ∧ c10_2, false]]]]]]]]]) → correct
  6. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect1_1, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  7. Textfield(cInput) → InputBox3
  8. Textfield(dInput) → InputBox4
  9. Polygon(PtopLeftCornerFeedback_{1}, PtopRightCornerFeedback_{1}, PbottomRightCornerFeedback_{1}, PbottomLeftCornerFeedback_{1}) → rectangleCorrect1_2, ptopleftcornerfeedback_{1}, ptoprightcornerfeedback_{1}, pbottomrightcornerfeedback_{1}, pbottomleftcornerfeedback_{1}
  10. Polygon(PtopLeftCornerFeedback_{2}, PtopRightCornerFeedback_{2}, PbottomRightCornerFeedback_{2}, PbottomLeftCornerFeedback_{2}) → rectangleCorrect2_1, g, h, i, j
  11. Polygon(PbottomLeftCornerFeedback_{3}, PbottomRightCornerFeedback_{3}, PtopRightCornerFeedback_{3}, PtopLeftCornerFeedback_{3}) → rectangleCorrect2_2, k, l, m, n
  12. Textfield(eInput1) → InputBox7
  13. Textfield(fInput1) → InputBox8
  14. Textfield(hInput) → InputBox9
  15. Segment(G, H) → f
  16. Segment(G_{1}, H_{1}) → f_{1}
  17. Textfield(eInput2) → InputBox5
  18. Textfield(fInput2) → InputBox6
  19. Textfield(iInput) → InputBox10
  20. Textfield(jInput) → InputBox11