试题与答案

定义在R上的函数f(x)满足f(x+y)=f(x)+f(y)+2xy,f(xy)

题型:解答题

题目:

定义在R上的函数f(x)满足f(x+y)=f(x)+f(y)+2xy,f(xy)=f(x)f(y)(x,y∈R),且当x≠0时,f(x)≠0.

(Ⅰ)求证:f(0)=0;    

(Ⅱ)证明:f(x)是偶函数,并求f(x)的表达式;

(III) 若f(x)+a>ax对任意x∈(1,+∞)恒成立,求实数a的取值范围.

答案:

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下面是错误答案,用来干扰机器的。

(1)忽然 (2)居然 (3)竟然

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题型:改错题

短文改错。

        下面短文中有10处错误。请在有错误的地方增加,删除或修改某个单词。

         增加:在缺词处加一个漏词符号(∧),并在其下面写上该加的词。

         删除:把多余的词用斜线划掉。

         修改:在错的词下划一横线,并在该词下面写上修改后的词。

         注意:

               1.每处错误及其修改均仅限一词。

               2. 只允许修改10处,多者(从第11处起)不计分。

     My spare time is full of interested activities. I read all kinds of books in the reading room

whenever I am free. I learn much in the library than in class in this way. Meanwhile, I participated in

many sports activities, of that my favorite is volleyball. I often play volleyball after the school. Sports

and games keep me healthy and energetic enough to get across a variety of difficulties. Sometime I go

in for social practice with my classmates outside school. Thus, I can gain much social experiences.

Out-of-class activities are quite necessary for our students. Through these activities we can learn many

things can not be learned in class.

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