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[函数] 09浙江理数选择压轴

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福州小江 posted 2013-9-9 16:25 |Read mode
Last edited by hbghlyj 2025-3-19 08:14对于正实数 $\alpha$ ,记 $M_a$ 为满足下述条件的函数 $f(x)$ 构成的集合:$\forall x_1, x_2 \inR$ 且 $x_2>x_1$,有 $-\alpha\left(x_2-x_1\right)<f\left(x_2\right)-f\left(x_1\right)<\alpha\left(x_2-x_1\right)$.下列结论中正确的是( )

A.若 $f(x) \in M_{\alpha 1}, ~g(x) \in M_{\alpha 2}$ ,则 $f(x) \cdot g(x) \in M_{\alpha 1 \alpha2}$
B.若 $f(x) \in M_{\alpha 1}, ~g(x) \in M_{\alpha 2}$ ,且 $g(x) \neq 0$ ,则 $\frac{f(x)}{g(x)} \in M_{\frac{\alpha 1}{\alpha 2}}$
C.若 $f(x) \in M_{\alpha 1}, ~g(x) \in M_{\alpha 2}$ ,则 $f(x)+g(x) \in M_{\alpha 1+\alpha 2}$
D.若 $f(x) \in M_{\alpha 1}, ~g(x) \in M_{\alpha 2}$ ,且 $\alpha_1>\alpha_2$ ,则 $f(x)-g(x) \in M_{\alpha1-\alpha2}$

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kuing posted 2013-9-9 16:44
我当年的贴子不是写过么,见:bbs.pep.com.cn/forum.php?mod=redirect&got … 9052&pid=4634469 第27楼。


PS、发贴请选择主题分类,见:forum.php?mod=viewthread&tid=170

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original poster 福州小江 posted 2013-9-9 16:56
感觉我成水军了!!!!

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original poster 福州小江 posted 2013-9-9 16:58
回复 2# kuing


    以后坚决不写出处,锻炼KK的记忆力!!哈哈

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睡神 posted 2013-9-9 19:57
回复 4# 福州小江
一样的啦~k神一目十行,过目不忘...
除了不懂,就是装懂

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original poster 福州小江 posted 2013-9-9 20:02
回复 5# 睡神

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