已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231417543750951/SYS201311012314175437509021_ST/0.png)
(1)求函数f(x)的极值;
(2)若函数y=f(x)的图象与直线y=0恰有三个交点,求实数a的取值范围;
(3)已知不等式f'(x)<x
2-x+1对任意a∈(1,+∞)都成立,求实数x的取值范围.
考点分析:
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