定义域x>0f'(x)=(a-1)/x+2ax=1/x*[2ax^2+(a-1)]1). a=0时,f'(x)=-1/x<0, 单减 a>=1时,f'(x)>0, 单增 0 当 0 当x1
X>0;设x1>x2>0,(1)当a>=1,f(x1)-f(x2)=(a-1)ln(x1/x2)+a(x1^2-x2^2)>0,函数单调递增(2)当0(3)当a<=0,f(x1)-f(x2)<0,函数单调递减