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[函数] 来自人教群,又见抽象函数错题

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kuing posted 2014-10-19 22:25 |Read mode
家长-斯坦(6578*****) 17:41:03
QQ图片20141019221352.jpg
问下,这道题选哪个,我答出书B,但答案是A
这道题出题的显然又是对着草图想当然得到的结果。

由于没有规定 $f(x)$ 是什么形式,只要满足条件的对称性和单调性就行了,于是它大可以是个折线函数,像这样:
QQ截图20141019222247.gif

显而易见,交点是想要多少就有多少。

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original poster kuing posted 2014-10-19 22:36
其实更简单些,你甚至可以有一段与原曲线重合,这样就有无穷个

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realnumber posted 2014-10-21 00:10
2楼牛~~~

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