1 . 已知函数
.
(1)若函数
的图象在
处的切线与
轴平行,求
的值;
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664f045c401214642af3cde341a8c62f.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b531c36ff866949690e5988b5f795898.png)
您最近一年使用:0次
2 . 已知函数
.
(1)若曲线
在点
处的切线方程为
,求实数
的值;
(2)若
时,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8849dbd21c145d5538d3be22c212c5a9.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ebcdbf5fd576e70e160e38e663f690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3808a43fcc8d274305af279c99074b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a0bea71ac38c648d7ba20e00cbacb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fb0c245c1c696b50c05f4e69c1187.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
.
(1)若曲线
在
处的切线与直线
垂直,求实数
的值;
(2)当
时,若对于任意
,均有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4742f9163b2c624b620d176f173bba4f.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c50e50da05762777c8af00ad3cd4b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e445f608e4a7d8535b100c0199a8ecf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2024-02-23更新
|
952次组卷
|
2卷引用:中原名校2022年高三上学期第二次精英联赛数学(理)试题
解题方法
4 . 设函数和函数
.
(1)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a020607e7478fc091525240b0580b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-02-11更新
|
672次组卷
|
2卷引用:南阳六校2021-2022学年下学期第一次联考高二理科数学试题
解题方法
5 . 已知函数
(
为实数)的图象在点
处的切线与直线
平行.
(1)求函数
的极值(其中
为
的导数);
(2)若对任意
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c377e8b36373c4b76b9e3ed6066b9ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baabfd32465e9e50409413d9c1358279.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7f74ae6ac70b73cc593578e759c942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071f145fa805374355aa56c87be751fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
6 . 已知曲线
.
(1)求平行于直线
且与曲线
相切的直线方程;
(2)求过点
且与曲线
相切的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede723177d033c4f50f67a9e25029ef6.png)
(1)求平行于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5428b040be21dcd503d350478c0a4773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238f0ea276a00ae8d681ce00cc11c8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2023-12-22更新
|
1651次组卷
|
3卷引用:安徽省芜湖市华星学校2021-2022学年高二上学期期末考试数学试卷
安徽省芜湖市华星学校2021-2022学年高二上学期期末考试数学试卷(已下线)专题02 导数的运算(十大考点)-【寒假自学课】2024年高二数学寒假提升学与练(人教A版2019)安徽省安庆市怀宁县第二中学2023-2024学年高二上学期期末数学试题
7 . 已知函数
.
(1)若
的图象在点
处的切线平行于
轴,求
的单调区间;
(2)若当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6135d79ecdf10527d1e9d6dbb4a4f76.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
8 . 已知曲线
,求
(1)曲线在点
处的切线方程;
(2)曲线过点
的切线方程;
(3)曲线平行于直线
的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e9b49e2ef5c8d9388e843c77248b7f.png)
(1)曲线在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
(2)曲线过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
(3)曲线平行于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf2248c6325a50241e6074f06f860a3.png)
您最近一年使用:0次
2023-12-11更新
|
1582次组卷
|
3卷引用:山西省忻州市宁武县高级中学2021-2022学年高一上学期期末数学试题
名校
9 . 已知函数
与
的图像都过点
,且在点
处有公共切线.
(1)求
的表达式;
(2)过点
作曲线
的切线,使切点
在第三象限,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d7ed6f4b0e08cd887d2fdc2a5e37e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eddbd26e779f9cbf4dee6e3fa587583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8586e22c48d0cbe3e05b13a587276020.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2023-12-11更新
|
700次组卷
|
3卷引用:贵州省黔东南自治州镇远县文德民族中学校2021-2022学年高二上学期期末数学(文)试题
贵州省黔东南自治州镇远县文德民族中学校2021-2022学年高二上学期期末数学(文)试题(已下线)专题02 导数的运算(十大考点)-【寒假自学课】2024年高二数学寒假提升学与练(人教A版2019)江苏省南京市金陵中学2023-2024学年高二上学期1月期末数学试题
名校
10 . 已知函数
.
(1)
时,求证:
是曲线
的一条切线;
(2)若曲线
在点
处的切线平行于
轴,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c12d631fe77ab08a726c3939b1ad7c54.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae342dcb93e0e6f017093cacc5ac977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-11更新
|
818次组卷
|
4卷引用:福建省福州市文博中学2021-2022学年高二上学期期末数学试题
福建省福州市文博中学2021-2022学年高二上学期期末数学试题宁夏回族自治区2023-2024学年高二上学期期末测试数学训练卷(三)(范围:选择性必修第二册 4.1-5.2.2)(已下线)2.4 导数的四则运算法则3种常见考法归类-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)黑龙江省齐齐哈尔市第八中学校2023-2024学年高二下学期3月月考数学试题