名校
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0ebc77b83210330497b573b39c458e.png)
(1)当
时,求
在点
处的切线方程;
(2)若
对
恒成立,求实数
的取值范围
(3)
若有3个零点
,其中
,求实数
的取值范围,并证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0ebc77b83210330497b573b39c458e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b13280d106fe9c3db2069984325b63.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e728e7423960080153f3ef30e2b708d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5daf486cf2adbd7af8aa26fe66b57ce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c06068ac2d0da29abec54df3f84347.png)
您最近一年使用:0次
2023-11-30更新
|
687次组卷
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2卷引用:天津市第一百中学2023-2024学年高三上学期期中数学试题
2 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3876a78d1c0f3b0eb07825c34d1a5d.png)
(1)若
,过点
作曲线
的切线l,求切线l的方程;
(2)若
,
是函数
的两个不同的极值点,求证:
;
(3)
时,
对
恒成立,证明不等式
对任意的正整数n都成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c3876a78d1c0f3b0eb07825c34d1a5d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c10f14aae6fb21e047ecb39cdf40c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/051c9ada827d18c8377743299d3761df.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb9374a0245ffdcb4b23bd8bd5b662a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bad5c8a4e4bad474651c0a61de820ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fada3f2d5821bea73b3f22b25a07a8a7.png)
您最近一年使用:0次
名校
3 . 已知函数
,
.
(1)当
时,求函数
在点
处的切线;
(2)若
对任意的
恒成立,求实数
的取值范围;
(3)求证:
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1311c1c23e54391ff9052f0df09f485a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27bcb0a5f3d22e9df052879fb0d0d4d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f822c5d0ca02fd710b9a35a3fc4c4374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035638c27917660d1161757eb28a4015.png)
您最近一年使用:0次
2022-05-29更新
|
1483次组卷
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5卷引用:天津市第一百中学2022-2023学年高三上学期期末线上测试数学试题
名校
4 . 已知函数
.
(1)当
时,求
在
处的切线方程;
(2)令
,已知函数
有两个极值点
,且
,
①求实数
的取值范围;
②若存在
,使不等式
对任意
(取值范围内的值)恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732a081df910f7b85a9d29dd139e2e6c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005f2e6bee90297bd1c2c6533d29a87a.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7006220d33024798081a6f2c1d94c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58c4411628935f2c4a42095c9a644ca.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d001e8728b32aa28b83a9a36e674f9e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1b8af65459ae7ef940ef1589ee4d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-03-17更新
|
1111次组卷
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7卷引用:天津市东丽区第一百中学2019-2020学年高三上学期第二次月考数学试题
天津市东丽区第一百中学2019-2020学年高三上学期第二次月考数学试题天津市西青区2019-2020学年高三第一学期期末考试数学试题2020届江苏省南京师大附属扬子中学高三下学期期初数学试题(已下线)强化卷07(3月)-冲刺2020高考数学之拿高分题目强化卷(山东专版)(已下线)专题08 巧辨“任意性问题”与“存在性问题(第一篇)-2020高考数学压轴题命题区间探究与突破天津市蓟州区第一中学2021届高三下学期模拟检测二数学试题(已下线)第七章 导数与不等式能成立(有解)问题 专题四 双变量能成立(有解)问题的解法 微点1 双变量单函数能成立(有解)问题的解法
解题方法
5 . 已知函数
.
(1)若
,求函数
的最小值;
(2)若
对于任意
恒成立,求
的取值范围;
(3)若
,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3e13e2cfde73f4297be32eac1367d6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d9c6823217ff1aced49ed46c82a15a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65cbaab1c2d4552b55acebae2a7676be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa4cfd7aee189c1aab1edfbf0a22d58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72c1d8395ec8f22bea23a6b066adc4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c60cad20a60beb10a07accdaef90c4.png)
您最近一年使用:0次
2020-02-18更新
|
855次组卷
|
3卷引用:天津市东丽区2022-2023学年高二下学期期末模拟数学试题