名校
1 . 若实数
的取值使函数
在定义域上有两个极值点,则叫做函数
具有“凹凸趋向性”,已知
是函数
的导数,且
,当函数
具有“凹凸趋向性”时,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6d8c37886c5e16ee2485c2d35aa357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
2 . 已知.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f161c2a3717f1b6c62d0d7dae0b606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4753d6d46da2936d6e0d963b94efc02c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3abd318e7b51e3b16cd57b636e3b429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ca77a28ce8ce797a1b1bb3c465dcd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a458f4716b7fb99418d762909eecab11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9405361d7be3c9e4d462a4e955d8fe3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c0309456de2cd6420ece4fbc5eeddb.png)
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解题方法
3 . 已知函数
,若
的解集为
,且
中恰有一个整数,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fc053b72e1b845ee5bb34bda82990a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-04-15更新
|
277次组卷
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2卷引用:湖北省孝感市2022-2023学年高二下学期期中联考数学试题
名校
解题方法
4 . 函数
,且
,若关于x的不等式
的解集为
,则实数a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc248024c0f87f8a6717bbd4a8f42927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b2856045b940760ebabe6606df19a6.png)
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2023-04-21更新
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2卷引用:湖北省武汉市华中师范大学第一附属中学2022-2023学年高二下学期期中数学试题
名校
5 . 函数
,若关于x的不等式
的解集为
,则实数a的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc248024c0f87f8a6717bbd4a8f42927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b2856045b940760ebabe6606df19a6.png)
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2023-03-09更新
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4卷引用:湖北省七市(州)2023届高三下学期3月联合统一调研测试数学试题