函数
有两个不同的零点,则实数
的取值范围为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8541c10eed1dccab44c35deb076536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2021-07-24 16:43:51
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【知识点】 利用导数研究函数的零点
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较难
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【推荐1】若函数
有三个零点
,
,
,且
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的取值范围为______ .(写成区间形式)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3c969c1e76ca9f857b57fab06e2ec9.png)
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【推荐2】已知定义在
上的函数
满足
,
,则下列说法正确的是______ .(填所有正确说法的序号)
①
在
处取得极大值,极大值为
;
②
有两个零点;
③若
在
上恒成立,则
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8df9f5561ef4423796db5ee64540566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187c21027ff08411931d32c530b64fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd4211e78293c7027f985bcc26a4929.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9abbedcdfbd6118599e1bb612474741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc329b32ecf0f0532d09a8a21343e8cb.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2bdf701b97649757358da6faf8e0cde.png)
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