1 . 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.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1311c1c23e54391ff9052f0df09f485a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd685585c6c06d17688ae9abbea26ef1.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)
您最近一年使用:0次
2 . 设函数
,
.
(1)当
时,求
的单调区间;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d110f47ea68e104b79fd6f38ab03157b.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/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5931095eb29d9d6b55ed9fa32a4ef1d.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
3 . 已知函数
(其中e是自然对数的底数),曲线
在点
处的切线方程是
,
.
(1)求a,b;
(2)若
在
上恒成立,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c55df5f047436e5dad6c66475dc5c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef2123278fa0deabcfaf973dac14e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab68d15d9ed95cac584152cf76399a38.png)
(1)求a,b;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2342d5722ac6e69b417e6c9a08fa2efc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
您最近一年使用:0次
2023-07-06更新
|
664次组卷
|
2卷引用:云南省临沧市民族中学2024届高三上学期开学考试数学试题
名校
解题方法
4 . 已知
,
有且仅有一条公切线
,
(1)求
的解析式,并比较
与
的大小关系.
(2)证明:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a2d7c67748749a033294d20ec56360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42897f25d4cfcf4ffa141f8c9e7f9468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
您最近一年使用:0次
解题方法
5 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)求
在区间
上的极值点个数;
(2)若
为
的极值点,则
,求整数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1947fd8b1e5fa9096c13256fdb3a23ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac36889228059ff2e482ad6f4e67f289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
.
(1)若直线
与曲线
相切,求b的值;
(2)若关于x的方程
有两个实数根
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08eff10ac609235a35c960aa2dc394d.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07660a8dd3273fed0435630901cf8503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a891b1fd6db25a664f553fa1cf2652.png)
您最近一年使用:0次
2023-05-10更新
|
705次组卷
|
2卷引用:云南省昆明市2023届高三“三诊一模”高考模拟考试数学试题
名校
7 . 已知函数
在
处切线斜率为
,
,其中
.
(1)求a的值;
(2)若
时,
,求b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64611b77f084fbe14f1ef9406446cf59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3444735e374fcda042b79737d035bc3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
(1)求a的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29676b35414afa9b1091ecfe97b34061.png)
您最近一年使用:0次
解题方法
8 . 已知函数
(其中e为自然对数的底数),且曲线
在
处的切线方程为
.
(1)求实数m,n的值;
(2)证明:对任意的
,
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd36dd386c17371d9ba4ab63c96d066e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
(1)求实数m,n的值;
(2)证明:对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ad8fa9c76a0e7e2034dbadfbcbcc61.png)
您最近一年使用:0次
2023-04-30更新
|
387次组卷
|
4卷引用:云南省楚雄州2022-2023学年高二下学期期中教育学业质量监测数学试题
名校
9 . 已知函数
.
(1)求函数
的单调区间;
(2)设函数
有两个零点
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d255cf2d0ab252b88c54639ccbcf800.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147646cd9e3edaf051ee2acdf6737c33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ca13a93b5f401c0d39ba52b0cffcb0.png)
您最近一年使用:0次
2023-04-18更新
|
358次组卷
|
2卷引用:云南省红河州开远市第一中学校2022-2023学年高二下学期5月月考数学试题
解题方法
10 . 设函数
.
(1)讨论
的单调性;
(2)若对于任意
,都有
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2b1515d452c078251bcd34596c0f7b.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05adfa1f46f8d2eb486991e61b727f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab0e5aca7446296185594905382268c.png)
您最近一年使用:0次