1 . 已知函数
在
处的切线方程为
.
(Ⅰ)求
的单调区间:
(Ⅱ)关于
的方程
在
范围内有两个解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc41584b9b1dea8288ed938d05a1a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b4874cf36b6082ba4d539ff3ee69a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38bcfbfb00e74ec92bebf20fc3e2dfef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-10-22更新
|
791次组卷
|
2卷引用:2020届江西省宜春市丰城九中高三上学期月考数学(理)试题
名校
2 . 设函数
.
(1)若
是
的极大值点,求
的取值范围;
(2)当
,
时,方程
(其中
)有唯一实数解,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb20b5898c5ac5ffa1a3138e7ed74e8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86304c3e26200299a0480641525a283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74cd8c03028c658a74586440b23c8f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-03-14更新
|
1530次组卷
|
5卷引用:【市级联考】湖南省怀化市2019届高三3月第一次模拟考试数学(文)试题
【市级联考】湖南省怀化市2019届高三3月第一次模拟考试数学(文)试题2019年湖南省怀化市高三一模数学(文)试题2020届吉林省梅河口市第五中学高三下学期模拟考试数学(文)试题2019届湖南省怀化市高三下学期第一次模拟数学(文)试题(已下线)专题03 利用导数求函数的极值、最值(第六篇)-备战2020年高考数学大题精做之解答题题型全覆盖
3 . 已知函数
,
,
,
为自然对数的底数.
(1)若
,求函数
的单调区间;
(2)若
,方程
有
个解,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff3482ed4738c5579391dc2dcbf43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97f6c66e048e3ddd9aa2044ee536cb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7b64a18b734c386ffd63b6e822dd4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dfb9cb82bb8dacb0a08e5a2ec274e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
4 . 已知函数
,
.
(1)求使方程
存在两个实数解时,
的取值范围;
(2)设
,函数
,
.若对任意
,总存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82efef97eb32d0cc8373a7269eff1471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
(1)求使方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715b6dd2529be30dc62e9130439f8a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcea405825a55ba5650af6054747fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48fa5cb4b09c5042827e90f5b2071665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3cfaa8a3b5e5fc2a6d885a878ed469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab2de8d1313f1f7e9fbb8a816455c50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2019-04-07更新
|
682次组卷
|
2卷引用:【省级联考】福建省2019届高三模拟考试数学(文)试题
5 . 已知
.
求
的极值;
若
有两个不同解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13abd0502e788879b0516f477075f87b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570ab1bec94fd2d8d1bd0b3702d1c9b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
6 . 已知函数
(
为自然对数的底数),
.
(Ⅰ)当
时,求函数
的极小值;
(Ⅱ)若当
时,关于
的方程
有且只有一个实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d70266454df40256268b19b055a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85451e2c824cbf9c1aa2a24848496a04.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7393fc425948d4261bb6c7d67f88e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4194cfb20e84042131c0bd5d7ed3f5.png)
(Ⅱ)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1abd5e5df3cfe6248f74af70ebb4e48d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-03-08更新
|
832次组卷
|
3卷引用:【校级联考】东北三省三校(哈尔滨师大附中、东北师大附中、 辽宁省实验中学)2019届高三第一次模拟考试数学(文)试题
【校级联考】东北三省三校(哈尔滨师大附中、东北师大附中、 辽宁省实验中学)2019届高三第一次模拟考试数学(文)试题【市级联考】辽宁省凌源市2019届高三第一次联合模拟考试数学(文)试题(已下线)2020届高三12月第01期(考点02)(文科)-《新题速递·数学》
名校
7 . 已知
(
为自然对数的底数),
.
(1)当
时,求函数
的极小值;
(2)当
时,关于
的方程
有且只有一个实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290dfa43bcecc055837374f00dce6fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85451e2c824cbf9c1aa2a24848496a04.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c204be088a8fc6c096eedd5b1e7dc7.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c81b29ac8a01886b25dcef55c5f6877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69935380b7059b221227c9c841efefb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2019-03-07更新
|
451次组卷
|
4卷引用:【校级联考】东北三省三校(哈尔滨师大附中、东北师大附中、 辽宁省实验中学)2019届高三第一次模拟数学(理)试题
8 . 已知函数
.
求
的极值;
求证:对任意
,关于x的方程
恰有一解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b362899fc6a1e2ca6d9ebc0bdde7b1f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad015be5dfd4755a20b1044bc5d5f387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74fa4fafabfa6c7c08fc996679c42b3c.png)
您最近一年使用:0次
2019高三·全国·专题练习
解题方法
9 . 已知函数
.
(1)求函数
的单调区间;
(2)若关于
的方程
有实数解,求实数
的取值范围;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871bbc0c88332bb2de90f33024da19c2.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daec707c7b57ab76c87fba1441ff45c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd5bb2f7ce53231b503f3e8b59270f6.png)
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10 . 设函数
,已知它们在
处的切线互相平行.
(1)求b的值;
(2)若函数
且方程
有且仅有4个解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181341f468a25bcd3b1ca37aad7d4937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求b的值;
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831d08682d588fcd3390089113d688cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18a1571235484fb22950132fb3b00e5a.png)
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