(I)求證: 直線的斜率; 查看更多

 

題目列表(包括答案和解析)

已知函數(shù)f(x)=lnx+ax.
(I)若對(duì)一切x>0,f(x)≤1恒成立,求a的取值范圍;
(II)在函數(shù)f(x)的圖象上取定兩點(diǎn)A(x1,f(x1)),B(x2,f(x)2)(x1<x2),記直線AB的斜率為k,證明:存在x0∈(x1,x2),使f′(x0)=k成立.

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已知函數(shù)f(x)=lnx+ax.
(I)若對(duì)一切x>0,f(x)≤1恒成立,求a的取值范圍;
(II)在函數(shù)f(x)的圖象上取定兩點(diǎn)A(x1,f(x1)),B(x2,f(x)2)(x1<x2),記直線AB的斜率為k,證明:存在x0∈(x1,x2),使f′(x0)=k成立.

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已知函數(shù)f(x)=lnx+ax.
(I)若對(duì)一切x>0,f(x)≤1恒成立,求a的取值范圍;
(II)在函數(shù)f(x)的圖象上取定兩點(diǎn)A(x1,f(x1)),B(x2,f(x)2)(x1<x2),記直線AB的斜率為k,證明:存在x0∈(x1,x2),使f′(x0)=k成立.

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已知函數(shù)f(x)=lnx+ax.
(I)若對(duì)一切x>0,f(x)≤1恒成立,求a的取值范圍;
(II)在函數(shù)f(x)的圖象上取定兩點(diǎn)A(x1,f(x1)),B(x2,f(x)2)(x1<x2),記直線AB的斜率為k,證明:存在x∈(x1,x2),使f′(x)=k成立.

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已知函數(shù)f(x)=lnx+ax.
(I)若對(duì)一切x>0,f(x)≤1恒成立,求a的取值范圍;
(II)在函數(shù)f(x)的圖象上取定兩點(diǎn)A(x1,f(x1)),B(x2,f(x)2)(x1<x2),記直線AB的斜率為k,證明:存在x∈(x1,x2),使f′(x)=k成立.

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