问题
填空题
点(x,y)在直线x+3y-2=0上,则3x+27y+3取值范围为______.
答案
∵点(x,y)在直线x+3y-2=0上,可得x=2-3y
∴3x+27y=32-3y+27y=9×(
)y+27y≥21 27
=69×(
)y×27y1 27
由此可得:3x+27y+3≥6+3=9
即3x+27y+3的取值范围是[9,+∞)
故答案为:[9,+∞)
点(x,y)在直线x+3y-2=0上,则3x+27y+3取值范围为______.
∵点(x,y)在直线x+3y-2=0上,可得x=2-3y
∴3x+27y=32-3y+27y=9×(
)y+27y≥21 27
=69×(
)y×27y1 27
由此可得:3x+27y+3≥6+3=9
即3x+27y+3的取值范围是[9,+∞)
故答案为:[9,+∞)