已知实数且,函数在区间上的最大值比与最小值大,求实数的值.

已知实数,函数在区间上的最大值比与最小值大,求实数的值.

答案

解:当时,在区间上是增函数,故最大值为,最小值为

所以              

所以,满足                 

时,在区间上是减函数,故最大值为,最小值为

所以            

所以,满足                

综上所述,    

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