已知实数x、y满足(x+2)^2+(y-3)^2=1,则|3x+4y-26|的最小值等于?

已知实数x、y满足(x+2)^2+(y-3)^2=1,则|3x+4y-26|的最小值等于?
已知实数x、y满足(x+2)^2+(y-3)^2=1,则|3x+4y-26|的最小值等于?

已知实数x、y满足(x+2)^2+(y-3)^2=1,则|3x+4y-26|的最小值等于?
令x+2=cosx ;y-3=sinx
x=cosx-2 ;y=sinx+3
3x+4y-26
=3cosx-6+4sinx+12-26
=5sin(x+θ)-20
所以|3x+4y-26|=15