名校
解题方法
1 . 已知
,其中
且
.
(1)若
,曲线
在点
处的切线为
,求直线
斜率的取值范围:
(2)若
在区间
有唯一极值点
,
①求
的取值范围;
②用
表示
的最小值.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113b06c03e8bc6eec48d153ca170b2e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d3e81f557e5bf78954b84dec74c0de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661249bf6499017f9e5e03db3fcd93d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddf9809129b68d725a8c74de5e1c311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a7792efd7f82bfa7549db4cb6ca761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e515c80daf34fff5923cd86142398bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4653407012fbf6a8ffd21b94d4e0d7e7.png)
您最近一年使用:0次
2021-05-13更新
|
1413次组卷
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4卷引用:第15讲 max函数与min函数问题-2022年新高考数学二轮专题突破精练
(已下线)第15讲 max函数与min函数问题-2022年新高考数学二轮专题突破精练上海市育才中学2023届高三上学期期中数学试题山东省日照市2021届高三第二次模拟考试数学试题(已下线)专题13 用导数研究函数(难点)-2020-2021学年高二数学下学期期末专项复习(北师大版2019选择性必修第一册、第二册)
2 . 已知
,直线
为曲线
在
处的切线,直线
与曲线
相交于点
且
.
(1)求
的取值范围;
(2)(i)证明:
;
(ii)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86161d12df385eb4cfec8a8a38277fc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e560b5246bb13e0e6bc15a5913eb879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7356730e983351835eb2e750f4f323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f09f29bb529ab9967a275b26e150c5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db551d9fa0c984594e71c295d05c2f23.png)
(ii)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6f6cf4ae5f535cdc78120eca2400ed.png)
您最近一年使用:0次