名校
1 . 已知向量
,
,设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/59cbbbed-0d85-43e2-8312-75db485228fa.png?resizew=324)
(1)求f(x)的表达式并化简;
(2)写出f(x)的最小正周期,画出函数f(x)在区间[0,π]内的草图;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da0797d068fd06975b2a460616c036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26249b7e879e2077367d93f4f26d52e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/59cbbbed-0d85-43e2-8312-75db485228fa.png?resizew=324)
(1)求f(x)的表达式并化简;
(2)写出f(x)的最小正周期,画出函数f(x)在区间[0,π]内的草图;
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2 . 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
|
939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
3 . 已知函数f(x)= sinx×cosx-
cos2x+
.
(Ⅰ)化简函数f(x),并用“五点法”画出函数
在长度为一个周期的闭区间上的简图(先在所给的表格中填上所需的数值,再画图);
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572304492126208/1572304498155520/STEM/1e3eb696862d447388e2df9a45564fdf.png)
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572304492126208/1572304498155520/STEM/f49e4a9a58474b0abcf638b4ff592893.png)
(Ⅱ)当
时,求函数
的最大值和最小值及相应的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(Ⅰ)化简函数f(x),并用“五点法”画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572304492126208/1572304498155520/STEM/1e3eb696862d447388e2df9a45564fdf.png)
![](https://img.xkw.com/dksih/QBM/2015/11/24/1572304492126208/1572304498155520/STEM/f49e4a9a58474b0abcf638b4ff592893.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9b19eca82b3d86f6e9b86507170707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次