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[函数] 谁能说得清a的值?2019年安徽省“江南十校”文科数学

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走走看看 Posted 2019-3-20 17:08 |Read mode
函数怪题.png
有谁见过这么怪的东东?
a=10行不行?

答案见:baijiahao.baidu.com/s?id=1627397207167534262& … fr=spider&for=pc  中的12小题。

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isee Posted 2019-3-20 17:17
回复 1# 走走看看


a=10不行,依题f(0)=0,a=0.

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isee Posted 2019-3-21 11:06
记$g(x)=f(f(x))$,设$x_0$为共同的零点,则$$f(x_0)=0,$$且$$g(x_0)=0,$$于是$$g(x_0)=f(f(x_0))=f(0)=0.$$

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