实数x,y满足x^2+y^2-6x+5=0,且x+2y+m

实数x,y满足x^2+y^2-6x+5=0,且x+2y+m
实数x,y满足x^2+y^2-6x+5=0,且x+2y+m

实数x,y满足x^2+y^2-6x+5=0,且x+2y+m
x²+y²-6x+5=0
(x-3)²+y²=4
∴可设x-3=2cost,
y=2sint
∴原不等式可化为
2cost+3+4sint+m＜0
即3+m＜-4sint-2cost
3+m＜-(2√5)sin(t+m).( cosm=2/√5,sinm=1/√5)
∴恒有3+m＜-2√5
∴m＜-3-2√5