1,点(a,b)在直线x+2y=3上移动,则2^a+4^b的最小值是?2,设0
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![1,点(a,b)在直线x+2y=3上移动,则2^a+4^b的最小值是?2,设0](/uploads/image/z/3005184-48-4.jpg?t=1%2C%E7%82%B9%EF%BC%88a%2Cb%EF%BC%89%E5%9C%A8%E7%9B%B4%E7%BA%BFx%2B2y%3D3%E4%B8%8A%E7%A7%BB%E5%8A%A8%2C%E5%88%992%5Ea%2B4%5Eb%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E6%98%AF%3F2%2C%E8%AE%BE0)
1,点(a,b)在直线x+2y=3上移动,则2^a+4^b的最小值是?2,设0
1,点(a,b)在直线x+2y=3上移动,则2^a+4^b的最小值是?2,设0
1,点(a,b)在直线x+2y=3上移动,则2^a+4^b的最小值是?2,设0
(1)点(a,b)在直线x+2y=3上移动,有
a+2b=3,a=3-2b.
2^a+4^b=2^(3-2b)+2^2b=(2^3/2^2b)+2^2b=8/2^2b+2^2b≥2√(8/2^2b*2^2b)=2*2√2=4√2.
则2^a+4^b的最小值是4√2.
(2)0