1 . 向量
,设函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/c20f1ec4-e117-4a08-89a6-6cbc154031cf.png?resizew=307)
(Ⅰ)求
的表达式并化简;
(Ⅱ)写出
的最小正周期并在右边直角坐标中画出函数
在区间
内的草图;
(Ⅲ)若方程
在
上有两个根
,求m的取值范围及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a95c38619871c5f33c33298773026f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc1525aee9019a25cf71dc6054ec1ce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/c20f1ec4-e117-4a08-89a6-6cbc154031cf.png?resizew=307)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260bb3786192dfcca715e41a3e0b6f44.png)
(Ⅲ)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31bc0c34811edba74dae3fcaed8f577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260bb3786192dfcca715e41a3e0b6f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc14778010a33f90902ff17b1ec0ac73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
您最近一年使用:0次
2019-07-04更新
|
943次组卷
|
2卷引用:湖北省天门市、仙桃市、潜江市2018-2019学年高一下学期期末考试数学试题
名校
2 . 已知函数
的部分图像如图所示,其中
.
![](https://img.xkw.com/dksih/QBM/2019/1/26/2126869715615744/2128691119898624/STEM/1d4123ced89242b2b0b8ba3646dbda6d.png?resizew=293)
(1)求
的值;
(2)求函数
的单调递增区间;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431e4fc81e73b5fe4000556e38733b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad37053d28bb9ca9c748e3fd921491a.png)
![](https://img.xkw.com/dksih/QBM/2019/1/26/2126869715615744/2128691119898624/STEM/1d4123ced89242b2b0b8ba3646dbda6d.png?resizew=293)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3b2e4b5f3ab0a60c787f3b47667051.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e799e937076aa5a7dcd51cdc0f40f6b0.png)
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2018-12-29更新
|
1096次组卷
|
4卷引用:【市级联考】湖北省天门市、潜江市2018-2019学年高一12月月考数学试题
【市级联考】湖北省天门市、潜江市2018-2019学年高一12月月考数学试题【全国百强校】云南省玉溪一中2018-2019学年高一上学期期末考试数学试题重庆市广益中学2019-2020学年高一上学期12月月考数学试题(已下线)第8章+函数应用(重点卷)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第一册)
名校
3 . 已知函数
,其中
.
(I)若
,求
的值;
(II)若
,求
的最大值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fd2af6062adb474c74733776776e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f687593cb4ecef31667bf2320fdfe000.png)
(I)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec65a2bec3d4296c613a80b3ae41d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a080cab44a7d3605430d67b207f9be.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce96cba08248c9f915c75c24be0be26a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a90170d7ef5ff6d1d63517c166f7a9.png)
您最近一年使用:0次
2018-07-03更新
|
566次组卷
|
4卷引用:【全国市级联考】湖北省天门市、仙桃市、潜江市2017-2018学年高一下学期期末联考数学试题
4 . 设
.
(1)先将函数
经过适当的变换化成
,(其中
,
,
,
为常数)的形式,再写出振幅、初相
和最小正周期
;
(2)求函数
在区间
内的最大值并指出取得最大值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f74c2b6ed787ea72e378e0e0b2e5e9b.png)
(1)先将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e1db82be9528569210dda21d0eb29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed0f9933951f980a59ff5226ce03acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2df1bc516cf59796f7610454440afc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39399307eef778140cfa3881df20e432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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