积极 AI Logo 积极 AI

Unverpackt-Laden 比例问题：几何作图与比例计算

Unverpackt-Laden 比例问题：几何作图与比例计算
几何画板及绘图内容加载中，请稍等……
2023-07-26 20:40
所属专题 Wiederholung: Direkte und Indirekte Proportionalität Direkte Proportionalität
这个范例展示了如何通过几何图形和比例关系解决购物问题。核心数学概念包括直接与间接比例、比例计算以及几何作图。作图要点涉及使用GeoGebra命令如Join、Textfield、Polygon、Shuffle等来构造图形和比例关系。适合小学五年级到六年级学生，用于练习比例问题和几何作图技能。

GeoGebra 命令及参数

  1. Join(Sequence[Shuffle[Sequence[m, m, 1, maxexnum]], i, 1, 9]) → listexnums
  2. Textfield(input1) → InputBox1
  3. Textfield(input2) → InputBox2
  4. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  5. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {8, 4, 10, 6, 1, 6, 1, 1, 3, 3, 0, 0, 2, 3, 7, 0, 1, 10, 4, 4, 8, 3, 5, 5, 5, 2, 3, 4, 6, 10, 3, 6, 3, 9, 7, 2, 5, 7, 3, 7, 8, 9, 10, 3, 1, 5, 2, 1, 4, 5, 2, 9, 1, 10, 8, 5, 10, 3, 7, 3, 1, 9, 4, 7, 2, 9, 6, 8, 10, 10, 7, 1, 7, 7, 0, 6, 10, 9, 6, 5, 7, 10, 3, 3, 3, 3, 2, 0, 10, 1, 1, 5, 2, 3, 2, 2, 6, 3, 8, 5}
  6. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {10, 0, 8, 4, 10, 6, 0, 6, 3, 4, 10, 7, 0, 8, 1, 4, 8, 9, 9, 9, 1, 0, 3, 3, 2, 0, 6, 10, 3, 7, 10, 9, 5, 0, 3, 6, 4, 0, 7, 3, 1, 0, 5, 5, 2, 8, 10, 0, 3, 1, 4, 6, 7, 9, 7, 10, 7, 2, 2, 1, 1, 6, 4, 6, 6, 3, 9, 0, 7, 8, 5, 0, 0, 8, 9, 2, 1, 6, 10, 4, 10, 3, 5, 4, 9, 6, 9, 0, 10, 1, 10, 5, 0, 3, 2, 1, 2, 4, 7, 9}
  7. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  8. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  9. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  10. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  11. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  12. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  13. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  14. If(step ≟ 0, (-3.23492, 0.3), I) → A
  15. NumberSeparationComma(m1(exnum, 1)) → Text4
  16. Point(Line[E, xAxis]) → F
  17. Semicircle(Ci2, Ci1) → c
  18. Semicircle(Ci3, Ci4) → d
  19. If(exnum ≟ 2, "", If[exnum ≟ 5, "L", If[exnum ≟ 4, "ml", "g"]]) → eh