题目内容
已知函数
的图象经过A(0,1),且在该点处的切线与直线
平行.
(1)求b与c的值;
(2)求
上的最大值与最小值分别为M(a),N(a),求F(a)=M(a)-N(a)的表达式.
(3)在)(2)的条件下,当a的区间
上变化时,证明:![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257572526.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257509820.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257525458.gif)
(1)求b与c的值;
(2)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257541414.gif)
(3)在)(2)的条件下,当a的区间
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257556320.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257572526.gif)
(1)
(2)(3)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257572488.gif)
(1)
b
由
(2)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257634564.gif)
函数
的图象的对称轴为![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257665282.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257681362.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257697349.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257697699.gif)
当![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231322577121107.gif)
当
(3)令![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257790983.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257806757.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257821373.gif)
且等号不能同时成立,
上恒成立.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257587497.gif)
由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257603909.gif)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257634564.gif)
函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257650270.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257665282.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257681362.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257697349.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257697699.gif)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231322577121107.gif)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231322577431112.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231322577751370.gif)
(3)令
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257790983.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257806757.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257821373.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257837800.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132257853986.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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