1 . 已知
为实数,
.
(1)若
,求关于
的方程
在
上的解;
(2)若
,求函数
,
的单调减区间;
(3)已知
为实数且
,若关于
的不等式
在
时恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77379b38d36d83e58fb18b4226f9a256.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9173b446b8ff3ec5506540f277d93a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9173b446b8ff3ec5506540f277d93a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a5dd65c213529071ee34a897ca009a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9c48e36f2c35dd8308029445332aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-12更新
|
452次组卷
|
4卷引用:江苏省常州市前黄高级中学2023-2024学年高一下学期3月自主练习数学试卷
江苏省常州市前黄高级中学2023-2024学年高一下学期3月自主练习数学试卷上海市控江中学2024届高三上学期期中数学试题(已下线)第13讲 拓展一:三角函数图象、最值、根的问题-【帮课堂】四川省眉山市东坡区眉山映天学校2023-2024学年高一下学期5月期中考试数学试题
名校
2 . 已知向量
,
,
,
,函数
,
的最小正周期为
.
(1)求
的单调增区间;
(2)方程
;在
上有且只有一个解,求实数n的取值范围;
(3)是否存在实数m满足对任意x1∈[-1,1],都存在x2∈R,使得
+
+m(
-
)+1>f(x2)成立.若存在,求m的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf7736622dc1f2e897000759052db46f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958758a7edc9f9a3c080f2150552874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9715fcd25189f8052b031c5521572727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1899866f01cbbe68b128500a8af66c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0731ce638e37afb23b9fa15c8b27e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f79c81cbad87b98161cdc6c6e6ac468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f79c81cbad87b98161cdc6c6e6ac468.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc119987463cfcc7e342b2b16ac0ef6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3820e75842cf59ccd07ca95816cb5a01.png)
(3)是否存在实数m满足对任意x1∈[-1,1],都存在x2∈R,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd4e61244b52ef77ab57da80ca03874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe41acce9a3644ca7e073c8111fb556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d95f9ff531106a9ce7bf34181e581d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7043d235e8c1bcdf55b3edf4cafd3ed.png)
您最近一年使用:0次
2019-01-19更新
|
1223次组卷
|
4卷引用:【市级联考】江苏省无锡市2017-2018学年高一(上)期末数学试题