试题与答案

已知函数f(x)=x3-x2,x∈R. (Ⅰ)若正数m、n满足m•n>1,证明:

题型:解答题

题目:

已知函数f(x)=x3-x2,x∈R.

(Ⅰ)若正数m、n满足m•n>1,证明:f(m)、f(n)至少有一个不小于零;

(Ⅱ)若a、b为不相等的正数,且满足f(a)=f(b),求证:a+b>1.

答案:

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假设你是Mr Hunter , 某英语报社的主编。下面是Jimmy 写给你的一封信,请仔细阅读这封信,并就他所提的问题给写封回信。

Dear Sir ,

I’m a Senior 3 student this year . Facing the College Entrance Examination , I feel a lot of pressure . But unfortunately , my mother cannot understand me . Every time I turn on the TV set  , she will switch it off . Therefore ,we often quarrel about whether I can watch TV after school . You know , through my window , I can see so vivid pictures from across the window of my good friend’s house , which is opposite ours. How exciting the football match always is ! Even worse , my mobile phone was taken back yesterday just because of my failure in my maths for the first time . Also , recently I am often wanted by my teacher to his office .In all , I feel stressed out .I don’t know what I can do . Please help me .

Looking forward to your reply .

Yours ,

Jimmy

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