求导得f'(x)=a/x+2bx+1代入x=1,x=2,得:a+2b+1=0a/2+4b+1=0联立方程解得:a=-2/3 , b=-1/6则f(x)=-2/3*lnx-1/6*x^2+x代入x=1,2得:f(1)=5/6≈0.833,f(2)=2/3*(2-ln2)≈0.8712,故f(2)更大,所以x=1时为极小值,x=2时为极大值