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令函数,若m=x恰有2个根,则m的值为( )
A.1 B.2 C.3 D.0
令p(x)=ax2+2x+1>0,若对x∈R,p(x)是真命题,则实数a的取值范围是________.
令p(x)=ax2+2x+1>0,若对是真命题,则实数a的取值范围是________.
设a≥0,f (x)=x-1-ln2 x+2a ln x(x>0).
(Ⅰ)令F(x)=xf'(x),讨论F(x)在(0.+)内的单调性并求极值;
(Ⅱ)求证:当x>1时,恒有x>ln2x-2a ln x+1.