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cobweb图示斜率

cobweb图示斜率
几何画板及绘图内容加载中，请稍等……
2014-02-23 19:19
函数最值优化不等式
本范例演示了斜率对不动点吸引性的影响。核心数学概念包括函数、不动点和斜率。通过构造摘要中的命令，如Point、OrthogonalLine和Segment，可以绘制出cobweb图。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Point(xAxis) → A0
  2. OrthogonalLine(A0, xAxis) → a
  3. Point(c) → Fixpoint
  4. Segment((A1, A2), (A2, A2)) → C1
  5. Segment((A2, A2), (A2, A3)) → B2
  6. Segment((A2, A3), (A3, A3)) → C2
  7. Segment((A3, A3), (A3, A4)) → B3
  8. Segment((A3, A4), (A4, A4)) → C3
  9. Segment((A4, A4), (A4, A5)) → B4
  10. Segment((A4, A5), (A5, A5)) → C4
  11. Segment((A5, A5), (A5, A6)) → B5
  12. Segment((A5, A6), (A6, A6)) → C5
  13. Segment((A6, A6), (A6, A7)) → B6
  14. Segment((A6, A7), (A7, A7)) → C6
  15. Segment((A7, A7), (A7, A8)) → B7
  16. Segment((A7, A8), (A8, A8)) → C7
  17. Segment((A8, A8), (A8, A9)) → B8
  18. Segment((A8, A9), (A9, A9)) → C8
  19. Segment((A9, A9), (A9, A10)) → B9
  20. Segment((A9, A10), (A10, A10)) → C9
  21. Segment((A10, A10), (A10, A11)) → B10
  22. Segment((A10, A11), (A11, A11)) → C10
  23. Segment((A11, A11), (A11, A12)) → B11
  24. Segment((A11, A12), (A12, A12)) → C11
  25. Segment((A12, A12), (A12, A13)) → B12
  26. Segment((A12, A13), (A13, A13)) → C12
  27. Segment((A13, A13), (A13, A14)) → B13
  28. Segment((A13, A14), (A14, A14)) → C13
  29. Segment((A14, A14), (A14, A15)) → B14
  30. Segment((A14, A15), (A15, A15)) → C14
  31. Segment((A15, A15), (A15, A16)) → B15
  32. Segment((A15, A16), (A16, A16)) → C15
  33. Segment((A16, A16), (A16, A17)) → B16
  34. Segment((A16, A17), (A17, A17)) → C16
  35. Segment((A17, A17), (A17, A18)) → B17
  36. Segment((A17, A18), (A18, A18)) → C17
  37. Segment((A18, A18), (A18, A19)) → B18
  38. Segment((A18, A19), (A19, A19)) → C18
  39. Segment((A19, A19), (A19, A20)) → B19
  40. Segment((A19, A20), (A20, A20)) → C19
  41. Segment((A20, A20), (A20, A21)) → B20
  42. Segment((A20, A21), (A21, A21)) → C20
  43. Segment((A21, A21), (A21, A22)) → B21
  44. Segment((A21, A22), (A22, A22)) → C21
  45. Segment((A1, 0), (A1, A2)) → b

AI 绘图提示语参考

画一个函数的吸引点图，首先在x轴上取一个点A0，然后作A0的垂线a。接着在a上取一个固定点Fixpoint，从这个固定点开始，画一系列垂直线段，每个线段的起点在前一个线段的终点，终点在x轴上，形成一个类似蜘蛛网的结构，展示函数斜率对吸引点的影响。
以上提示语为根据原始绘图命令整理而来，仅供参考。