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函数间区域

函数间区域
几何画板及绘图内容加载中，请稍等……
2017-03-07 06:53
函数微积分积分
这个范例演示了如何使用GeoGebra计算两个函数之间的区域。核心数学概念包括函数、积分和面积。通过使用SelectedElement, Integral, IntegralBetween等命令，可以构造出函数间的区域。适合高中及以上学生学习微积分和函数相关知识。

GeoGebra 命令及参数

  1. SelectedElement(DropDownList) → g
  2. Integral(g, x(A), x(B)) → CurveAB
  3. Integral(f, x(A), x(B)) → LineAB
  4. IntegralBetween(f, g, x(A), x(B)) → TotalArea
  5. Integral(abs(f(x) - g(x)), x(A), x(B)) → TotalSolution
  6. Integral(g, x(A), x(C)) → CurveAC
  7. Integral(g, x(C), x(B)) → CurveCB
  8. Integral(f, x(A), x(C)) → LineAC
  9. Integral(f, x(C), x(B)) → LineCB
  10. Text(("f(x) = " * f)) → text1
  11. Text(("g(x) = " * g)) → text2
  12. Text("Integrals of f(x)") → text4
  13. Text("Integrals of g(x)") → text5
  14. Text(LineAB) → text6
  15. Text(LineAC) → text7
  16. Text(LineCB) → text8
  17. Text(CurveAB) → text9
  18. Text(CurveAC) → text10
  19. Text(CurveCB) → text11
  20. Text("Enclosed area" = TotalSolution) → text12
  21. Text("Enclosed area") → text13
  22. Text("Use integration to calculate the area") → text14
  23. Text("enclosed between the line and curve") → text15
  24. Text("Change red curve to another function") → text3
  25. Text("once you've finished the first one") → text16
  26. Text("- Use the checkboxes to visualise calculations") → text20