2/A+1/3B最小值2A+3B=12/A+1/(3B)最小值.

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/13 20:00:48
2/A+1/3B最小值2A+3B=12/A+1/(3B)最小值.
x)3w67vz6 {l !Np="}L Q.$hZ lȰqC9+]lZ5>mdG7k\[# &PBHh9%ц5E<\jmcVHJS , SnaX$AhX`CTM[#mC${Vvntx-ob ϛr

2/A+1/3B最小值2A+3B=12/A+1/(3B)最小值.
2/A+1/3B最小值
2A+3B=1
2/A+1/(3B)最小值.

2/A+1/3B最小值2A+3B=12/A+1/(3B)最小值.
A、B在正数的情况下
2A+3B=1
2/A+1/(3B)
=2(2A+3B)/A+(2A+3B)/(3B)
=4+6B/A+2A/3B+1
=5+6B/A+2A/3B
≥5+2*√[(6B/A)*2A/3B]
=5+4
=9

8

(2A+3B)(2/A+1/(3B))=2+1+6B/A+2A/3B≥4+1+2√6×2÷3=4+1+4=9