名校
1 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b83d16c171b3d8531deef190259eb8.png)
(1)当
时,求
过点
的切线方程;
(2)若对
,
,不等式
恒成立,求实数a的取值范围.
[参考不等式:
]
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b83d16c171b3d8531deef190259eb8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5373082e3a89ca11246c41ec01f6f280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996570461ef1fdc5cac891c19f5023ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561480e3d3809613c33ce1f9c8890510.png)
[参考不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bceeb4756f96bf42f8c8ef3c8418789b.png)
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名校
2 . 已知函数
满足
.
(1)讨论
的单调性;
(2)当
时,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8374736d300dcf2ca4426993fb5d1296.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0107319f711900a133fe5932586060f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
3 . 已知函数
.
(1)讨论
的单调性;
(2)当
时,直线
与
的图象有两个不同的交点,交点横坐标分别为
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5587266378078cd6d304f52444ae96cb.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d4f20f4d98141613ff5dd7c37b55c3.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/7d41acc47493556617fe7b9e55093d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e833475230f8ac54eb4677ebbf434515.png)
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2023-12-20更新
|
490次组卷
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2卷引用:重庆市部分学校2024届高三上学期12月月考数学试题
解题方法
4 . 已知函数
.
(1)求
的极值;
(2)若对于任意
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78555d8aea6f0d9637c562ee01683f6e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aea0214e37ed3325214a034edb69348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-20更新
|
650次组卷
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2卷引用:重庆市部分学校2024届高三上学期12月月考数学试题
名校
5 . 已知函数 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f8f5132bb7fbe3dc879d5cf415a33.png)
(1)当
时, 求
的极值;
(2)若曲线
与曲线
存在2 条公切线, 求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f8f5132bb7fbe3dc879d5cf415a33.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
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6 . 设函数
.
(1)讨论函数
的单调性.
(2)设数列
满足
,证明:数列是单调递增数列,且
,
(其中
为自然对数的底).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436d89f98040d869c912b9193dbbdd45.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83271e8ed836063e7c3ff9f535a7dc2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c408d00eb43d6350af01b2d43dd8b283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
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2023-12-16更新
|
396次组卷
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3卷引用:重庆市部分学校2024届高三上学期第四次联考数学试题
7 . 已知函数
.
(1)当
时,比较
与
的大小;
(2)若函数
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40382778e49210646ae9e24e6cbe0657.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e34820aa2437b341edf1daf389cd11b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c857951793246a0ffb2f3d734e7506.png)
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2023-12-15更新
|
377次组卷
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2卷引用:重庆市2024届高三上学期11月份大联考数学试题
名校
解题方法
8 . 已知函数,其中
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcee20976de0e0e8c1ccd7a951674691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e8f19e63734343c4f660ba88b15b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652b28c11731f42a6d7af95dd75cd486.png)
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2023-12-11更新
|
434次组卷
|
3卷引用:重庆市拔尖强基联盟2024届高三上学期12月月考数学试题
重庆市拔尖强基联盟2024届高三上学期12月月考数学试题河南省信阳市信阳高级中学2024届高三上学期第七次大考数学试题(已下线)第03讲 函数的单调性、极值和最值-【寒假预科讲义】2024年高二数学寒假精品课(人教A版2019)
名校
解题方法
9 . 已知函数
.
(1)当
时,求
的极值;
(2)若
,求
的值;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebbebef8f3980f94d68b0ba103d3696b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1c49cf303d162268d58500834887e1.png)
您最近一年使用:0次
2023-12-07更新
|
1248次组卷
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9卷引用:重庆市沙坪坝区第七中学校2024届高三上学期12月月考数学试题
重庆市沙坪坝区第七中学校2024届高三上学期12月月考数学试题辽宁省名校联盟2024届高三上学期12月联合考试数学试题辽宁省名校联盟2024届高三上学期12月月考数学试题四川省广安第二中学校2023-2024学年高三上学期第二次月考理科数学试题吉林省通化市梅河口市第五中学2024届高三上学期12月月考数学试题(已下线)特训03 一元函数的导数及其应用 压轴题(七大母题型归纳)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)(已下线)第04讲 导数在研究函数中的应用-【寒假预科讲义】2024年高二数学寒假精品课(人教A版2019)(已下线)专题07 函数与导数常考压轴解答题(12大核心考点)(讲义)(已下线)黄金卷05
名校
解题方法
10 . 已知函数
,
,
.
(1)若曲线
在点
处的切线与曲线
也相切,求实数
的值.
(2)若不等式
对任意的
恒成立,求
的取值范围.(
…为自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714a72b6506ef6786cf74fe3825e8206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ab459f8b133f767e0e3ab15b721b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35ae37e6762819935e4109a982212eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ed9438ae4a904513246620ab76403d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07d7af2ede4abfa4d647b4058992d00.png)
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