名校
1 . 函数
图象上的点到直线
的距离的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6263576e5c3f2324a8dac311476bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
A.![]() | B.![]() | C.1 | D.![]() |
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2024-04-29更新
|
735次组卷
|
2卷引用:四川省成都市树德中学2023-2024学年高二下学期3月阶段性测试数学试卷
2024·全国·模拟预测
2 . 已知
,其中
.
(1)当
时,证明:
;
(2)若
,求
的取值范围;
(3)设
,
,证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/528cf1201a9db412206634c7b6db643e.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4e405fae04db95646ab629ae0ec3a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4975bba591e87e464bcc30c7cf043950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/528cf1201a9db412206634c7b6db643e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de62952222f55d386fd4d5b6daaa3b9.png)
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解题方法
3 . 已知函数
在
处取得极小值21,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12972d247ab18309b640b4ed43dce4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
A.4 | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
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4 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2e9f56554ec336df1862faf00f092c.png)
(1)求曲线
在点
处的切线方程;
(2)若
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2e9f56554ec336df1862faf00f092c.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d771a4732316b86a23b9c1b19674042a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4aa539556add14df9b3fc68b9827464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 设函数
,
,若存在
,
,使得
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8867b600581522ab45b638ad029c3ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2b18941336b298701ca66f3388a01e.png)
![](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/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
A.![]() | B.1 | C.2 | D.![]() |
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7卷引用:四川省泸州市泸县第五中学2023-2024学年高二下学期6月月考数学试题
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6 . 设
是可导函数,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e032c0ef0eaa6bde6b3e5c0453133f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1756433c66dfecdc923053909302a56d.png)
A.2 | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知
,则函数
在
处的导数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac03c50cc3dc7943233c2dcdccd7744e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
A.![]() | B.3 | C.![]() | D.6 |
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3卷引用:四川省成都市蓉城名校2023-2024学年高二下学期期中考试数学试题
8 . 已知函数
.
(1)当
时,求
的单调区间;
(2)定义
表示不超过
的最大整数,当
时,证明:
有两个零点
,
,并求
的值.
参考数据:
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370cc682b6024246648d8c7b6a607578.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc858c915f41d397340ea5a5f34e321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](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/64d32421b5e7db37900772bd7556e406.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b7cfcc147916ae7eeb5d557fea945e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25522700e456c259978a6d762e818572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db954dea085e42d5266652072a5c67c.png)
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解题方法
9 .
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c2c180d75b4b3653dc4a11151f7248.png)
A.![]() | B.5 | C.![]() | D.6 |
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10 . 已知函数
的图像在
,
两个不同点处的切线相互平行,则下面等式可能成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3fa074d968bd05499034c6ecc090610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45dddee525114c09ee0d1205aed6e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3b54e0dcdc081d45fb3df933cddc29.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:四川省成都市金牛区成都外国语学校2023-2024学年高二下学期5月月考数学试题
四川省成都市金牛区成都外国语学校2023-2024学年高二下学期5月月考数学试题2024届河北省邢台市部分高中二模数学试题(已下线)第五套 艺体生新高考全真模拟 (二模重组卷)(已下线)易错点3 曲线上的点与切点辨别不清