2022-2023衡水金卷先享题 高三一轮复习40分钟单元检测卷(老高考)/理数(五)5答案
11.解：(1)当a=1时，f(x)=-1/2x2+x-Inx
f'(x)=-x+1-1/x
f'(1)=-1,f(1)=-1/2+1=1/2
y-1/2=(-1)(x-1)⇨2x+2y-3=0
f(x)在x=1处的切线方程为2x+2y-3=0
11.解：(1)当a=1时，f(x)=-1/2x2+x-Inx
f'(x)=-x+1-1/x
f'(1)=-1,f(1)=-1/2+1=1/2
y-1/2=(-1)(x-1)⇨2x+2y-3=0
f(x)在x=1处的切线方程为2x+2y-3=0
