积极 AI Logo 积极 AI

导数练习器

导数练习器
几何画板及绘图内容加载中，请稍等……
2015-09-30 05:03
函数微积分导数
这是一个用于在学习乘积法则和商法则之前进行导数练习的GeoGebra范例。它通过随机生成函数，让学生练习求导。涉及的核心数学概念包括导数。构造摘要中提到了使用了Random, Shuffle, Element, Simplify等命令。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Random(1, FunctionListLength) → FunctionChoice3
  2. Shuffle({2, 3, 4, 5, 6, 7, 8, 9}) → exponentList
  3. Element(exponentList, 2) → n2
  4. Element(exponentList, 1) → n1
  5. Element(exponentList, 3) → n3
  6. Shuffle({1, 2, 3, 4, 5, 6, 7, 8, 9}) → scalerList
  7. Element(scalerList, 2) → m2
  8. Element(scalerList, 1) → m1
  9. Element(scalerList, 3) → m3
  10. Simplify((m1 * exp(x)) + (m2 * n2^(x)) + (m3 * log(x))) → exponential4
  11. Simplify((m2 * x) + m3) → LinearFunction
  12. Simplify((m1 * cos(LinearFunction(x)))) → trig2
  13. Simplify((m1 * tan(LinearFunction(x)))) → trig4
  14. Simplify((m1 * sqrt(LinearFunction(x)))) → algebraic3
  15. Simplify((m1 * ℯ^(LinearFunction(x)))) → exponential1
  16. Simplify((m1 * sin(LinearFunction(x)))) → trig1
  17. Flatten({AlgebraicFunctionList, ExpoLogFunctionList, TrigFunctionList, InverseTrigList, HypertrigFunctionList}) → FullFunctionList2
  18. First(FullFunctionList2, FunctionListLength) → FunctionList
  19. Random(1, difficulty) → FunctionChoice2
  20. Random(1, 4) → FunctionChoice
  21. Element(FunctionList, FunctionChoice3) → OriginalFunction
  22. Random(2, 9) → n
  23. Element(exponentList, 4) → n4
  24. Element(exponentList, 5) → n5
  25. Element(scalerList, 4) → m4
  26. Random(1, 10) → FunctionChoice2a
  27. Simplify(DerivativeFunction) → SimplifiedDerivative