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要如何求代数式 1/x + 2/(1-x) 的最大值与最小值,
要如何求出值域呢?
人气:284 ℃ 时间:2019-10-19 16:51:52
解答
x≠0;1y=(1-x +2x)/x(1-x)=(x+1)/(x-x^2) =>y(x-x^2)=x+1=>-yx^2+yx-x-1=0 =>yx^2-(y-1)x+1=0; x实数=>判别式 [-(y-1)]^2 - 4y≥0 => y^2-6y +1≥0=>y^2-6y≥-1=>y^2-6y+9≥8 =>(y-3)^2≥8 =>|y-3|≥2√2 => y-3≥2...
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