已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102633154431918/SYS201311031026331544319019_ST/0.png)
.
(I)求f(x)在[0,1]上的最大值;
(II)若对任意的实数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102633154431918/SYS201311031026331544319019_ST/1.png)
,不等式|a-lnx|+ln[f'(x)+3x]>0恒成立,求实数a的取值范围;
(III)若关于x的方程f(x)=-2x+b在[0,1]上恰有两个不同的实根,求实数b的取值范围.
考点分析:
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