名校
1 . 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)
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2019-01-19更新
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4卷引用:江苏省苏州市实验中学2019-2020学年高一下学期期初4月学情调研数学试题