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绘制角

绘制角
几何画板及绘图内容加载中，请稍等……
2023-12-20 17:32
角几何作图滑块动画
所属专题 Wiederholung Winkel: Bezeichnung, Arten, Messen & Zeichnen
本范例演示如何使用GeoGebra绘制角。核心数学概念包括角的定义和绘制方法。使用了CountIf, Textfield, Sequence, Join等命令。适合初中及以上学生学习几何作图。

GeoGebra 命令及参数

  1. CountIf(m ≟ true, m, {path1, path2, path3}) → numselected
  2. Textfield(input1) → Eingabefeld1
  3. Textfield(input2) → Eingabefeld2
  4. Sequence((Random[5, 17] * 5), m, 1, 110) → randomNosAlpha1, {50, 85, 35, 45, 65, 70, 80, 80, 70, 50, 30, 60, 45, 35, 40, 65, 75, 60, 50, 70, 55, 70, 65, 45, 45, 65, 85, 80, 25, 35, 75, 80, 70, 75, 35, 70, 30, 65, 60, 70, 30, 55, 55, 75, 70, 65, 85, 85, 60, 45, 80, 30, 65, 35, 55, 65, 70, 65, 35, 55, 50, 80, 85, 40, 50, 55, 45, 25, 45, 70, 30, 30, 65, 35, 80, 45, 65, 30, 30, 60, 75, 75, 45, 70, 45, 80, 35, 55, 35, 45, 25, 25, 65, 65, 50, 35, 55, 40, 85, 40, 75, 30, 30, 35, 65, 40, 65, 45, 50, 40}
  5. Join(Sequence[Shuffle[{1, 2, 3, 4, 5}], m, 1, 10]) → randomWinkelNameNum
  6. Point(Line[S1, xAxis]) → S2
  7. Intersect(Rotate[Line[S1, S2], alpha1°, S1], Line[S2, S3]) → P1
  8. Segment(S1, S2) → f
  9. Rotate(S2, alpha1°, S1) → P1b
  10. Segment(S1, P1b) → g
  11. Angle(S2, S1, P1) → walpha1z
  12. Rotate(S1 + (1, 0), walpha1 / 2, S1) → SB
  13. RandomElement({1, 2, 3} \ {selected1, selected2}) → selected3
  14. Sequence((Random[19, 35] * 5), m, 1, 110) → randomNosAlpha2, {100, 130, 100, 170, 105, 155, 145, 160, 165, 140, 135, 165, 95, 160, 110, 165, 175, 105, 125, 140, 170, 170, 95, 110, 175, 110, 150, 105, 115, 110, 105, 100, 170, 130, 105, 140, 100, 95, 100, 165, 130, 125, 110, 130, 135, 170, 150, 170, 150, 165, 100, 100, 145, 135, 110, 100, 160, 100, 140, 160, 125, 170, 130, 155, 165, 110, 115, 135, 115, 95, 105, 175, 105, 150, 135, 155, 120, 145, 105, 165, 140, 160, 160, 95, 150, 130, 175, 100, 160, 105, 100, 150, 160, 125, 100, 120, 170, 150, 140, 155, 145, 100, 160, 125, 165, 105, 100, 160, 130, 150}
  15. RandomElement({1, 2, 3, 4, 5} \ {winkelNameNum1}) → winkelNameNum2
  16. RandomElement({1, 2, 3, 4, 5} \ {winkelNameNum1, winkelNameNum2}) → winkelNameNum3
  17. Intersect(Rotate[Line[R1, R2], alpha2°, R1], Line[R2, R3]) → Q1
  18. Rotate(R2, (alpha2 - 180)°, R1) → Q1b
  19. Segment(R1, Q1b) → i
  20. Segment(R4, R1) → h
  21. Angle(R4, R1, Q1) → walpha2z
  22. Rotate(R1 + (1, 0), (alpha2 * ° / 2), R1) → RB
  23. Point(Line[T1, xAxis]) → T2
  24. Intersect(Rotate[Line[T1, T2], helpalpha3°, T1], Line[T3, If[spitz3, T2, T4]]) → V1
  25. Segment(T1, T2) → j
  26. Segment(T1, V1b) → k
  27. Angle(T2, T1, V1b) → walpha3z
  28. Rotate(T1 + (1, 0), walpha3z / 2, T1) → TB
  29. Angle(V1b, T1, T2) → α
  30. Element({selected1, selected2, selected3}, runde) → selected
  31. Point(Line[C, xAxis]) → D
  32. SpeechBubbleLeft(E, 11.1, 3.1) → Vieleck1
  33. SpeechBubbleLeft(E, 7.7, 2.15) → Vieleck2
  34. SpeechBubbleLeft(E, 8.5, 1.6) → Vieleck3
  35. SpeechBubbleLeft(E, 8.1, 2.7) → Vieleck4

AI 绘图提示语参考

画一个几何角度示例，包含一个动态角度，使用滑块控制大小，并标注角度值。展示角度的构造过程，包括旋转线段和交点，并用不同颜色区分关键部分。最终图形应包含多个角度示例，每个角度旁边有数字标签，整体呈现角度构造的多样性。
以上提示语为根据原始绘图命令整理而来，仅供参考。