名校
1 . 已知函数
,若过点
可作曲线
的三条切线,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7d90d8ca75c3325af6e065b32c1be5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0632becd411a505efaf6ce37b6aada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2023高三·全国·专题练习
名校
2 . 已知函数
有两条与直线
平行的切线,且切点坐标分别为
,则
的取值范围是 __ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495c8e0a18a3997de12b60019adf1b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a025526cd1389a21ae165ff7b3230b28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb5e0977b1a3c23ccd96d296b76a56e.png)
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2023-08-12更新
|
1122次组卷
|
6卷引用:专题04 导数及其应用-2
(已下线)专题04 导数及其应用-2江西省萍乡市安源中学2022-2023学年高二下学期期末考试数学试题(已下线)考点15 导数的几何意义及其应用 2024届高考数学考点总动员【练】新疆维吾尔自治区2023届高三第三次适应性检测文科数学试题(已下线)结业测试卷(范围:第五、六、七章)(提高篇)-【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)高二下学期期末复习填空题压轴题十九大题型专练(1)
名校
3 . 已知函数
,取点
,过
作曲线
的切线交y轴于
,取点
,过
作曲线
的切线交y轴于
......依此类推,直到当
时停止操作,此时得到数列
.给出下列四个结论:①
;②当
时,
;③当
时,
恒成立;④若存在k∈N*,使得
,
,…,
成等差数列,则k的取值只能为3.其中,所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64263fe2ca48e694c87496d61e63fb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722bf15521a0167d2946e7a3c5ba293c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64263fe2ca48e694c87496d61e63fb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5614dfcc099de673b208bb69c340bfdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994a73686deb355bd5dc11276e481fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64263fe2ca48e694c87496d61e63fb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15b10c362800032976abea026b0d433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808055c60d55f08405cf5182ca403c99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58bf1a283bc365a5bda7cd91e76766bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e5ced14046ffd5c9e4e8b3405f5f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab2b74474c95838de5ca565e7708832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e5ced14046ffd5c9e4e8b3405f5f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d143a396bb10a9f72d9fe1adc6d8f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
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4 . 已知函数
,若直线
是曲线
的切线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ ;若直线
与曲线
交于
,
两点,且
,则
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddb4c3b570cb1f80cf3d01b38d8cdd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff26491b344566f7bb04cbb7deb6baa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deee3d8693da1fe9d74749a5fabe7ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
5 . 过点
可以作函数
两条互相垂直的切线,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f52ce8cf72216ea15e51aeedd2ae430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-07-11更新
|
754次组卷
|
4卷引用:山东省青岛市平度市2022-2023学年高二下学期期末数学试题
山东省青岛市平度市2022-2023学年高二下学期期末数学试题(已下线)第三章 一元函数的导数及其应用 专题1 公切线中的复杂计算江苏省南菁高中、常州一中2023-2024学年高二下学期3月月考数学试题山东省枣庄市滕州市第一中学2023-2024学年高二下学期6月阶段性检测数学试题
6 . 设
,给出下列四个结论:
①不论
为何值,曲线
总存在两条互相平行的切线;
②不论
为何值,曲线
总存在两条互相垂直的切线;
③不论
为何值,总存在无穷数列
,使曲线
在
处的切线互相平行;
④不论
为何值,总存在无穷数列
,使曲线
在
处的切线为同一条直线.
其中所有正确结论的序号是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9cc29e5eda42231b07864342ae3469d.png)
①不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
②不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
③不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c447d258d81765005b59ba0b29ab471b.png)
④不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c447d258d81765005b59ba0b29ab471b.png)
其中所有正确结论的序号是
您最近一年使用:0次
7 . 过点
可作曲线
的两条切线,则实数
的取值范围是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6218fe5250e4e54cd76936773aecee6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-05-29更新
|
755次组卷
|
2卷引用:重庆市南开中学校2023届高三第十次质量检测数学试题
名校
8 . 定义:若函数
图象上存在相异的两点
,
满足曲线
在
和
处的切线重合,则称
是“重切函数”,
,
为曲线
的“双重切点”,直线
为曲线
的“双重切线”.由上述定义可知曲线
的“双重切线”的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8a553c84daabf4712f90ab9ee94bef.png)
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2023-05-27更新
|
723次组卷
|
2卷引用:江苏省无锡市等4地2023届高三三模数学试题
2023·全国·模拟预测
9 . 已知抛物线
的焦点到准线的距离为2,过点
作抛物线
的两条切线,切点分别为
,若
,则点
到原点的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf92a1ba410263d4f68b7e0432b19aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1601407780dee30f8e7e3103e4892a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aae6b4f34d4bad6e332031d0257ed39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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名校
10 . 已知
,若过点
恰能作两条直线与曲线
相切,且这两条切线关于直线
对称,则
的一个可能值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf506d939c339a9ba0e88f6f4291718f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-04-27更新
|
1902次组卷
|
5卷引用:广东省2023届高三二模数学试题
广东省2023届高三二模数学试题(已下线)江苏省八市2023届高三二模数学试题变式题11-16(已下线)专题09 函数与导数-2上海市曹杨第二中学2024届高三上学期10月月考数学试题河南省信阳市浉河区信阳高级中学2024届高三上学期第八次大考数学试题