名校
1 . 已知曲线
与直线
相切,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f3dde18e93bfec22deeadcba7a6164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f7fbfa2214ca72495a993b2fed8b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知函数
,
为
的导函数,
(1)当
时,
(i)求曲线
在
处的切线方程;
(ii)求函数
的单调区间;
(2)当
时,求证:对任意的
,有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef79b727ff29eb2a0bfde73ae363d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bb615b68fdd6edfe77c246e81702a1.png)
(i)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(ii)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90775c30e35f3a1f60b973ed24d541fd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c126b6d5fc7753b0c004048083815b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768cea29816df0313e23e4ec1732b010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26887cc82a29c585c7217176fc16c073.png)
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解题方法
3 . 已知函数
,
,若曲线
与
相切.
(1)求函数
的单调区间;
(2)若曲线
上存在两个不同点
,
关于y轴的对称点均在
图象上.
①求实数m的取值范围;
②证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e621a08099134be54e682f5724ff4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7629b32068eceefee92962b82645b6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d632213d947f70715d5b23d0e80f9ae.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/4669810732b633b60dbeaf0bf57204f6.png)
①求实数m的取值范围;
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ca13a93b5f401c0d39ba52b0cffcb0.png)
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2023-09-04更新
|
541次组卷
|
5卷引用:重庆市四川外语学院重庆第二外国语学校2024届高三上学期九月测试数学试题
重庆市四川外语学院重庆第二外国语学校2024届高三上学期九月测试数学试题安徽省安庆、池州、铜陵三市部分学校2024届高三上学期开学联考数学试题安徽“小高考”2024届模拟考试数学试题(已下线)考点21 导数的应用--极值点偏移问题 2024届高考数学考点总动员【练】(已下线)考点20 导数的应用--不等式问题 2024届高考数学考点总动员【练】
4 . 已知a,b为正实数,直线
与曲线
相切,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c251935d2cfd0fcede0bcf988b35b1e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70aa298b4e238039591bf417051e2921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b6b2d15ce6cfcbbf046a6f75f7f8cb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-07-06更新
|
453次组卷
|
2卷引用:重庆市南岸区2022-2023学年高二下学期期末数学试题
5 . 已知直线
是函数
与函数
的公切线,若
是直线
与函数
相切的切点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f24e616b5a35ff372c78c1472f156ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87fd1d89efca2f7334437d81a54eaf62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428d922e63d8a0838da6fdacee919ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
2023-07-03更新
|
794次组卷
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3卷引用:重庆市南岸区2022-2023学年高二下学期期末数学试题
名校
6 . 已知函数
,则正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad149b74adbc11d7064dfac22d519307.png)
A.![]() | B.![]() |
C.点![]() ![]() | D.直线![]() ![]() |
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7 . 已知有序数对
满足
,有序数对
满足
,定义
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50d99a7c5d1307fdee4fda1fb49526f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f59f89bdb7d0b0c9ff8f80c103f1673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e255b0bc344ef7186f4a0aa9529482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411cd18311dcdc50ec32129ca0a37ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3581e21e50bffb4f04a72a33baec70.png)
A.![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() | D.![]() ![]() ![]() |
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解题方法
8 . 设
(
),曲线
在点
处的切线与
轴相交于点
.
(1)求
的值;
(2)函数
在(0, 4]上的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/456481518535736b10f27ceee079942a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08290af79305df59bc0a1fc2b7c4f7c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1daa67de3b8971d54ced0cac0cd11f2e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1edbfeeb0e24adab18b263e9ee1e382.png)
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2023-06-15更新
|
196次组卷
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2卷引用:重庆市第十一中学校2022-2023学年高二下学期期中数学试题
名校
9 . 已知奇函数
满足
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e115e2b6131d67bbce84ad90895796c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aecda2409c253256937815b4605dac9.png)
A.![]() | B.![]() | C.1 | D.−1 |
您最近一年使用:0次
2023-06-15更新
|
274次组卷
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2卷引用:重庆市第十一中学校2022-2023学年高二下学期期中数学试题
名校
10 . 已知函数
.
(1)求曲线
在点
处的切线方程.
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a2d8646c46984dc50154dda0cb010d.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b402181e8e0ec843d3d7f441e35bd28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11a0efdfb8cd6b157459e1ae9b290ff.png)
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