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若满足x2+y2-2y=0,且x+y+m≥0恒成立,求m的范围是.
参数的只是解题.
人气:467 ℃ 时间:2020-04-15 23:01:20
解答
x2+y2+2y=0 x2+(y+1)^2=1 令 x=cosa; y=-1+sina
x+y=cosa+sina-1=√2sin(a+π/4)-1 m>-(x+y)最大=√2+1
不等式x+y+m>0 恒成立;
m>√2+1x2+(y+1)^2=1应改成:x2+(y-1)^2=1;m>-(x+y)最大=√2+1应改成:m≥-(x+y),最小=√2+1!
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