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二次函数增减性测验

二次函数增减性测验
几何画板及绘图内容加载中，请稍等……
2019-03-27 15:44
函数解析几何微积分函数图像
①本范例演示二次函数图像的增减性；②涉及核心数学概念：二次函数、导数、对称轴、顶点；③构造要点：使用Textfield, Random, RandomElement, If, Simplify等GeoGebra命令和对象，如Btn1, Btn2, MyList, a, k, f等；④适合高中数学教学，用于学生练习判断二次函数在不同区间内的增减性。

GeoGebra 命令及参数

  1. Textfield(Name) → InputBox1
  2. Random(-5, 5) → h
  3. RandomElement(MyList) → a
  4. Random(-5, 5) → k
  5. If(a < 0, "x<" + ((-h)), "x>" + ((-h))) → CorrectIncrease
  6. Simplify(f) → p
  7. If(a < 0, "x>" + ((-h)), "x<" + ((-h))) → CorrectDecrease
  8. RandomElement(ID) → Pick, "Down"
  9. If(Pick ≟ "Up", "This Parabola Increase : " + StudentAnswer, "This Parabola Decrease :" + StudentAnswer) → text3
  10. If(Pick ≟ "Up", CorrectIncrease, CorrectDecrease) → CorrectAnswer