已知集合M={(x,y)lx>0,y>0,x+y=k},其中k为大于0的常数,(1)对任意(x,y),t=xy,求t的取值范围(2)求证:当k>=1时,不等式(1/x-x)(1/y-y)
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![已知集合M={(x,y)lx>0,y>0,x+y=k},其中k为大于0的常数,(1)对任意(x,y),t=xy,求t的取值范围(2)求证:当k>=1时,不等式(1/x-x)(1/y-y)](/uploads/image/z/13394164-4-4.jpg?t=%E5%B7%B2%E7%9F%A5%E9%9B%86%E5%90%88M%3D%7B%EF%BC%88x%2Cy%EF%BC%89lx%3E0%2Cy%3E0%2Cx%2By%3Dk%7D%2C%E5%85%B6%E4%B8%ADk%E4%B8%BA%E5%A4%A7%E4%BA%8E0%E7%9A%84%E5%B8%B8%E6%95%B0%2C%EF%BC%881%EF%BC%89%E5%AF%B9%E4%BB%BB%E6%84%8F%EF%BC%88x%2Cy%EF%BC%89%2Ct%3Dxy%2C%E6%B1%82t%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%882%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9A%E5%BD%93k%3E%3D1%E6%97%B6%2C%E4%B8%8D%E7%AD%89%E5%BC%8F%EF%BC%881%2Fx-x%29%281%2Fy-y%29)
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