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根據題目,得知x>0,且f(x)導數為1/x+2x+a,要求函數f(x)在其定義域上為增函數,則要求1/x+2x+a,在x>0的情况下恒大於0,即最小值大於0,g(x)=1/x+2x+a,它的導數為-1/x²;+2,則極值點x=1/√2,g(1/√2)>0,則a>-2√2
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