已知a为常数,函数f(x)=x(lnx﹣ax)有两个极值点x1,x2(x1<x2)( )
A:f(x1)>0,f(x2)>-12
B:f(x1)<0,f(x2)<-12
C:f(x1)>0,f(x2)<-12
D:f(x1)<0,f(x2)>-12
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观察下列各式及验证过程:n=2时,有式①: 2×23=2+23 ;n=3时,有式②: 3×38=3+38 ;
式①验证: 2×23=223=(23−2)+222−1=(22−1)+222−1=2+23
式②验证: 3×38=338=(33−3)+332−1=3(32−3)+332−1 =3+38