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1 . 已知a为实常数,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e7e86beef58dcf20414776640d9f1d.png)
(1)记
的导函数为
,求
在区间
内的单调区间;
(2)若
在区间
的极大值、极小值恰各有一个,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e7e86beef58dcf20414776640d9f1d.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af7bf02f86be16d2ef6966f2b7a9cb17.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a7792efd7f82bfa7549db4cb6ca761.png)
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2018-12-06更新
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446次组卷
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4卷引用:广东省广州市中山大学附属中学2024届高三上学期9月月考数学试题