M(x,y)在直线x+2y+1=0上移动,求f=2^x+4^y的最小值x+2y+1=0 x+2y=-1 2^x+4^y =2^x+2^(2y) >=2根号2^(x+2y) =根号2 x=-1/2 y=-1/4=2^x+2^(2y)怎么等于>=2根号2^(x+2y)解释一下
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![M(x,y)在直线x+2y+1=0上移动,求f=2^x+4^y的最小值x+2y+1=0 x+2y=-1 2^x+4^y =2^x+2^(2y) >=2根号2^(x+2y) =根号2 x=-1/2 y=-1/4=2^x+2^(2y)怎么等于>=2根号2^(x+2y)解释一下](/uploads/image/z/1984260-12-0.jpg?t=M%28x%2Cy%29%E5%9C%A8%E7%9B%B4%E7%BA%BFx%2B2y%2B1%3D0%E4%B8%8A%E7%A7%BB%E5%8A%A8%2C%E6%B1%82f%3D2%5Ex%2B4%5Ey%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BCx%2B2y%2B1%3D0+x%2B2y%3D-1+2%5Ex%2B4%5Ey+%3D2%5Ex%2B2%5E%282y%29+%3E%3D2%E6%A0%B9%E5%8F%B72%5E%28x%2B2y%29+%3D%E6%A0%B9%E5%8F%B72+x%3D-1%2F2+y%3D-1%2F4%3D2%5Ex%2B2%5E%282y%29%E6%80%8E%E4%B9%88%E7%AD%89%E4%BA%8E%3E%3D2%E6%A0%B9%E5%8F%B72%5E%28x%2B2y%29%E8%A7%A3%E9%87%8A%E4%B8%80%E4%B8%8B)
M(x,y)在直线x+2y+1=0上移动,求f=2^x+4^y的最小值x+2y+1=0 x+2y=-1 2^x+4^y =2^x+2^(2y) >=2根号2^(x+2y) =根号2 x=-1/2 y=-1/4=2^x+2^(2y)怎么等于>=2根号2^(x+2y)解释一下
M(x,y)在直线x+2y+1=0上移动,求f=2^x+4^y的最小值
x+2y+1=0
x+2y=-1
2^x+4^y
=2^x+2^(2y)
>=2根号2^(x+2y)
=根号2
x=-1/2 y=-1/4
=2^x+2^(2y)怎么等于>=2根号2^(x+2y)解释一下
M(x,y)在直线x+2y+1=0上移动,求f=2^x+4^y的最小值x+2y+1=0 x+2y=-1 2^x+4^y =2^x+2^(2y) >=2根号2^(x+2y) =根号2 x=-1/2 y=-1/4=2^x+2^(2y)怎么等于>=2根号2^(x+2y)解释一下
你应该学过均值不等式原理把,就是当a>0,b>0时,有a+b>=2倍根号下(a乘b).就是这样啦
=2^x+2^(2y)
>=2根号2^(x+2y)
因为x+2y=-1啊
所以2根号2^(x+2y)=2根号2^(-1)=2根号1/2=根号2
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