指数函数变换 by senseiphil

指数函数变换 by senseiphil
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2014-11-23 22:31
①本范例演示指数函数图像的平移和伸缩变换;②涉及核心数学概念包括指数函数的性质、图像变换规则(平移、伸缩);③作图要点使用了Point, Intersect, Segment等GeoGebra命令和对象来构建函数图像和变换过程;④适合高中数学教学,用于理解函数变换对图像的影响。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. Intersect(p, l, (0.5338562888353868, 1.7054965309463015)) → B
  3. Intersect(b, l, (0.5338562888353868, 1.7054965309463015)) → C
  4. Segment(B, A) → j
  5. Point(yAxis) → D
  6. Intersect(b, g, (1.2640593139774308, 3.5397613654280335)) → E
  7. Intersect(p, g, (1.2640593162898563, 3.539761373613468)) → F
  8. Segment(D, E) → n
  9. Segment(A, C) → m_1
  10. Intersect(b, yAxis, (0, 1)) → G
  11. Intersect(f, xAxis) → H
  12. Intersect(f, xAxis) → I
  13. Intersect(f, xAxis) → J
  14. Intersect(f, xAxis) → K
  15. Intersect(f, xAxis) → L
  16. Intersect(f, xAxis) → M
  17. Intersect(b, f, (-138.11049641890662, 1.0456191110327026e-60)) → N
  18. Intersect(f, xAxis) → O
  19. Intersect(f, xAxis) → P
  20. Intersect(f, xAxis) → Q
  21. Intersect(b, f, (-122.08461305005319, 9.535121405855416e-54)) → R
  22. Intersect(p, g, (1.2640593162898563, 3.539761373613468)) → S
  23. Segment(D, S) → m