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设实数x、y满足x+2xy-1=0,则x+y的取值范围是
人气:240 ℃ 时间:2020-04-02 06:28:25
解答
x≠0
x+2xy-1=0
1+2y-1/x=0
y=1/2x-1/2
x+y=x+1/2x-1/2
(1) x>0 x+1/2x>=2√(x*1/2x)=√2 x+y>=√2-1/2
(2) x
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