ab=3a+2b
ab-3a=2b
a=2b/(b-3)
即
ab=2b²/(b-3)
∵ab>0
∴b-3>0
ab=2b²/(b-3)
=(2(b²-9)+18)/(b-3)
=2(b+3)+18/(b-3)
=2(b-3)+12+18/(b-3)
=2(b-3)+18/(b-3)+12
∵2(b-3)+18/(b-3)≥2√2(b-3)*18/(b-3)=6
∴ab≥6+12=18
即ab最小值为18
ab=3a+2b
ab-3a=2b
a=2b/(b-3)
即
ab=2b²/(b-3)
∵ab>0
∴b-3>0
ab=2b²/(b-3)
=(2(b²-9)+18)/(b-3)
=2(b+3)+18/(b-3)
=2(b-3)+12+18/(b-3)
=2(b-3)+18/(b-3)+12
∵2(b-3)+18/(b-3)≥2√2(b-3)*18/(b-3)=6
∴ab≥6+12=18
即ab最小值为18