题目内容
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140438865655.gif)
(1)求m的值;
(2)若斜率为-5的直线是曲线
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140438880424.gif)
(1)2(2)5x+y-1=0,或135x+27y-23=0
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/2014082314043889616290.jpg)
即f(-m)=-m3+m3+m3+1=9,∴m=2.
(2)由(1)知,f(x)=x3+2x2-4x+1,
依题意知f’(x)=3x2+4x-4=-5,∴x=-1或x=-
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140438911219.gif)
又f(-1)=6,f(-
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140438911219.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140438927291.gif)
所以切线方程为y-6=-5(x+1),或y-
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140438927291.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140438911219.gif)
即5x+y-1=0,或135x+27y-23=0.
![](http://thumb.zyjl.cn/images/loading.gif)
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