【 当x＞0,0＜α＜1时,不等式x^α - αx ≤ 1 - α成立 】令f(x) = (x^α - αx) - (1 - α) = x^α - αx + (α-1)f'(x) = αx(α-1)-α = α[x^(α-1)-1]∵0＜α＜1∴-1＜α-1＜00＜x＜1时,x^(α-1)＞1,f'(x)=x^(...