名校
解题方法
1 . 已知函数
.
(1)当
时,求
在
上的最大值;
(2)当
时,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfd29d7643b350f7768fcb8313a2ea5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-09-09更新
|
1502次组卷
|
5卷引用:云南省昆明市第三中学2023届高三上学期11月月考数学学科能力测试试题
名校
解题方法
2 . 已知函数
.
(1)若
恒成立,求实数k的取值范围;
(2)当
时,设函数
,若对任意
,存在
,使得
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9514b6e7efe137ea22c60f58655891.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1954c4fd3c6f93eeda9fd17db44a3b.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02f266bd253738e315e84231235f0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0a9e336769fba32ab7b516f52d0a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e94b687c2021e1bfc33e8fefeaddb64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/552251b43162140e9d241828bb8ff1ab.png)
您最近一年使用:0次
2022-05-12更新
|
647次组卷
|
3卷引用:云南省昆明市第八中学2023届高三下学期2月月考数学试题
名校
3 . 已知函数
,
.
(1)若
在
上单调递增,求
的取值范围;
(2)若
使得
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d00106cba4592d0989f815ac37c1f4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2576e78ed5ae21caba4d69abb4e8cb90.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33aecced0bc22f1d80ee9cc3d6992bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce2594833690eedb3328fe747feb3a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177ee07a3f4850de163e26420b95be5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a71492270809ba97d418e2db8fd756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2022-03-25更新
|
466次组卷
|
2卷引用:云南省昆明市第一中学西山学校2022届高三3月月考数学(理)试题
4 . 设函数
,
.
(1)若
,求曲线
在点
处的切线方程;
(2)若存在
,使得
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13af079e1c79c4f240b3b50a19e8d3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](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/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c62d6ddb2d76dd2ffd631380542b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8961dd0f95fc7c03fda8257e899454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
5 . 设
,
.
(1)如果存在
使得
成立,求满足上述条件的最大值
;
(2)如果对于任意的
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0308bf45d7893b66fd25e322835cb4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c699778c1f92e2d975ac67c104d3fe.png)
(1)如果存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9331df9c46ceb8f74f4cd7535e4b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f6fbb6f8133c81b5a61b91ad796df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)如果对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9f0a52d1106a0c30d08ba59599094a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdf80f9cf72a90e6a974a9b634f06887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-08-31更新
|
691次组卷
|
4卷引用:云南省昆明市第一中学2022届高三第八次考前适应性训练数学(文)试题
名校
6 . 已知函数
在
处有极值
.
(1)求
,
的值;
(2)若
,函数
有零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c62a0f3c5e245baae998f587ca435e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3a68f3bed62608b3cda27f613629ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c99f0bf8c43d08d3eca8084ed8b50d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-07-14更新
|
680次组卷
|
5卷引用:云南省昆明市第十二中学2023届高三(普通班)下学期2月月考数学试题
云南省昆明市第十二中学2023届高三(普通班)下学期2月月考数学试题四川省内江市2022届高三零模数学理科试题广东省江门市普通高中2023届高三上学期调研数学试题四川省绵阳市绵阳中学2023届高三上学期第一学月考试数学(理)试题(已下线)第08周周练(拓展三:利用导数研究函数的零点问题;拓展四:利用导数研究方程的根)
名校
解题方法
7 . 已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,证明:对任意
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178909678fac8dc7a822c4ac87b1bf9c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52fcd38273f85e91a1262e95933e6dd4.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
您最近一年使用:0次
名校
8 . 设函数
.
(1)已知
在点
处的切线方程是
,求实数
,
的值;
(2)在第(1)问的条件下,若方程
有唯一实数解,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d1303b891a79b9198aa4b0f30bd197.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81158db42116f74e7b26e100f88dd535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e212cdbfba6610bc55df2c1a737407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)在第(1)问的条件下,若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1beb197da8979ffa46fa5275cf447b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2021-05-18更新
|
525次组卷
|
5卷引用:云南省昆明市第一中学2022届高三第八次考前适应性训练数学(理)试题
名校
9 . 已知函数
.
(1)讨论
的单调性;
(2)若函数
有三个极值点
,
,
(
),求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2723d1040d563a6da87eacc83b03e1.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a54058e137e33c01d3154f4b814920.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dfffd8cfc61841672e958f1a38ff002.png)
您最近一年使用:0次
2021-03-28更新
|
1525次组卷
|
5卷引用:云南省昆明市第一中学2022届高三上学期第四期联考数学(理)试题
名校
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c27133fcace497b1b1559c57cd1629.png)
(1)求曲线
在点
处的切线方程;
(2)证明:对任意的
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c27133fcace497b1b1559c57cd1629.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cefe41941f27bc3ae17a552074b77263.png)
(2)证明:对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
您最近一年使用:0次
2021-01-27更新
|
775次组卷
|
5卷引用:云南省昆明市2021届高三上学期”三诊一模“摸底诊断测试数学(文)试题