函数
.求函数
在
上的极值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e76bf15f491fcfbe224efb7f087207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f87743947bb4b490f2940496efcaca9.png)
2023高二·全国·专题练习 查看更多[1]
(已下线)第12讲 导数中极值的5种常考题型总结 (2)
更新时间:2023-05-15 21:11:33
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】已知函数
.
(1)若
,求函数
的极值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad3a663f1236945cc3a29294af79709.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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适中
(0.65)
【推荐2】已知函数
,其导数记为
(
为自然对数的底数)
(1)求函数
的极大值;
(2)解方程
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3373c14a97d5719f0dd3d724123d96c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)解方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39456f6fff8fee5ffdbc8cbe52ad643b.png)
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适中
(0.65)
【推荐3】已知函数
.
(1)求
的极值;
(2)求该函数在
处切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31ad477a655c003d775dc915af73f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求该函数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150e8e4ca6aa729a72a6a17c36b8ebfe.png)
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适中
(0.65)
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【推荐1】已知函数
,
,图象上相邻两个最低点的距离为
.
(1)若函数
有一个零点为
,求
的值;
(2)若存在
,使得
(a)
(b)
(c)成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d681f4223bb30159db366fe45380a4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8827bfe6a486eef549434349c90d8f54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d201e7a909e3ecb4044b248f4c598860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3c1989cdd630631c9867d4d805e6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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适中
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解题方法
【推荐2】已知函数
的最小正周期为
.
(1)求
的值;
(2)求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d9865d7f35e0ac1f35735bb842d0bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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适中
(0.65)
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【推荐3】已知函数
,
.
(1)求函数
的周期和值域;
(2)设
,若对任意的
及任意的
,都有不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd4a4364253e020d83f2baefaba6243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdd4f370dd1946cad4744ebf6cd7d833.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99da5361eb279fa50ee2e242533b26a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31297e53ef5809ecee938e2c56200a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa9322a9ce93f784b0acc9def9731e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d24bd4c3723442fa9c290227c5febe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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