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计算圆的周长

计算圆的周长
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2024-12-12 16:15
所属专题 Kreis Umfang und Flächeninhalt
这个范例演示了如何使用 GeoGebra 计算圆的周长。涉及的核心数学概念是圆周长公式 C=πd 或 C=2πr。作图要点包括使用 Circle、Point、Segment、Ray、Textfield、CircleArc 等命令来创建和测量圆及其相关元素。适合初中七、八年级学生，用于学习和练习圆周长的计算。

GeoGebra 命令及参数

  1. SpeechBubbleLeft(PBubblePia, 12, 1.6) → bubble1
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Segment(C, B) → f
  5. SpeechBubbleLeft(PBubblePia, 11.5, 1.3) → bubble2
  6. SpeechBubbleLeft(PBubblePia, 10, 1.3) → bubble3
  7. SelectedIndex(drop1) → index1
  8. SpeechBubbleLeft(PBubblePia - (0.3, 0), 12.3, 1) → bubble4
  9. SpeechBubbleLeft(PBubblePia - (0.3, 0), 12.3, 1) → bubble4Bunt
  10. Circle(D, E) → d
  11. Point(d) → F
  12. Segment(F, E) → g
  13. SpeechBubbleLeft(PBubblePia, 9, 1.2) → bubble6
  14. SpeechBubbleLeft(PBubblePia, 7.7, 1) → bubble7
  15. SpeechBubbleLeft(PBubblePia - (0.1, 0.4), 12.1, 1.8) → bubble8
  16. Circle(G, 2.5) → e
  17. Point(e) → H
  18. Segment(G, H) → h
  19. SpeechBubbleLeft(PBubblePia - (0, 1.2), 11.2, 3) → bubble9
  20. Point(e) → I
  21. Ray(I, G) → i
  22. SpeechBubbleLeft(PBubblePia, 10, 1.3) → bubble10
  23. Textfield(input1) → InputBox1
  24. SpeechBubbleLeft(PBubblePia - (0.2, 0.1), 12.4, 1.7) → bubble11
  25. Segment(F, E) → k
  26. Segment(D, E) → l
  27. SpeechBubbleLeft(PBubblePia - (0, 0.7), 12.3, 2.2) → bubble12
  28. CircleArc(L, M, N) → p
  29. Point(p) → O
  30. Vector(O, P) → u
  31. Textfield(input2) → InputBox2
  32. Sequence((i, 0), i, 0, 10, 0.3585) → l1
  33. Rotate(l1, -23°) → l1'
  34. Point(l1') → J
  35. Segment((0, 0), J) → j
  36. SpeechBubbleLeft(PBubblePia - (0.1, 0.4), 11.8, 1.8) → bubble5
  37. Textfield(input3) → InputBox3
  38. Textfield(input4) → InputBox4
  39. Textfield(input5) → InputBox5
  40. Circle(Z, A_1) → q
  41. Point(q) → B_1
  42. Ray(B_1, Z) → m
  43. Intersect(q, m, 2) → C_1
  44. Segment(B_1, C_1) → n