6x1在x01上恒成立;3
由Ⅱ知2x2131x1在x01上恒成立
6x13
fx31x1在x01上恒成立
7
f又因为当x01时1x01
61x13
f1x311x1
6x161x1x31x1311x133
即6x31
160max1max312mi
x1x2max3163mm1
另解:
3215分3
x2x2121x212x2
11x12,22
设Px0A0
22B1,显然x2PAPB,由下图易知:22
yA
PAPB
PAPB
xB
mi
AB3
OAOB26,22
max
O
P
∴xmi
6xmax13,
x1x2max3163mm1
323
8
fr