题目内容

已知函数
⑴若是该函数的一个极值点,求函数的单调区间
⑵若上是单调减函数,求的取值范围

选做题 第(        )题(8分)
                                                                              
 
                                                                                
 
                                                                                 
 
                                                                                     
 
                                                                                
 
                                                                              
 
                                                                                     
 
                                                                                    
 
 
 
 
                                                                                       

 
解:⑴∵  …………………………………………1分

     ∴因此  ……………………………2分
,其定义域为……………3分
…………4分
   当,即,或时,函数单调递增
,即时,函数单调递减
的单调递增区间为,单调递减区间为…6分
⑵∵上是单调减函数
上恒成立…7分
上恒成立  …………………………8分
…………………………………………9分
∵在上,  …………………………11分
  …………………………………………………………12分
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