已知函数
,存在三个不同实数
满足
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be5b73240b061499bb52ee932362dcba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acff5c5cb3ab2b82d8b8dcfa8f95b5d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2020-03-02 22:17:10
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【推荐1】已知函数
,若方程
在区间
内有且仅有一个根,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7abe338a1820ebf4a971300261db00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625b648e76a6131136e71966951fc30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579e2c39e6c0a640357e3b0ccd6f954a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐2】已知定义在R上的函数
满足
,当
时,
,若函数
至少有6个零点,则a的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c25fb0c3e1b6ef211233170b9aa9001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81254eca1f80aaf3e24712e0ce36bce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7192d87d0fa400d5d7dba57924bbbe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc4c82dfc61859116cecdbcf7a48531.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
【推荐1】在数学的研究性学习中,常利用函数的图象研究函数的性质,也利用函数的解析式研究函数的性质,下列函数的解析式(其中
为自然对数的底数)与所给图象最契合的是( )
![](https://img.xkw.com/dksih/QBM/2021/2/3/2649984941678592/2651740069257216/STEM/7b64999ad85041f3a17af3738d0f54f4.png?resizew=340)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2beb22b735da7cb8054dd722450632f5.png)
![](https://img.xkw.com/dksih/QBM/2021/2/3/2649984941678592/2651740069257216/STEM/7b64999ad85041f3a17af3738d0f54f4.png?resizew=340)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】对于三次函数
,给出定义:设
是函数
的导数,
是
的导数,若方程
有实数解
,则称点
为函数
的“拐点”.探究发现:任何一个三次函数都有“拐点”;任何一个三次函数都有对称中心,且“拐点”就是对称中心,设函数
,则以下说法正确的是( )
①函数
对称中心![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d66e9d52546beeea016d6d7d3f0ca6.png)
②
的值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9ba3f640f57c0cece089dfd19b4970.png)
③)函数
对称中心![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
④
的值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012429b7101ba0f84e7b45598ed12db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a5f0e3013c0b38239585173b0d824b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc581690f1d82133bb5fed3d7f365f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee65c050d94c6bad0b53e56b5cde9e45.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d66e9d52546beeea016d6d7d3f0ca6.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e864f64be48203568ffc64e28783e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9ba3f640f57c0cece089dfd19b4970.png)
③)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e864f64be48203568ffc64e28783e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
A.①② | B.①④ | C.②③ | D.③④ |
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