1 . 著名数学家华罗庚先生曾说过:“数缺形时少直观,形缺数时难入微,数形结合百般好,隔裂分家万事休.”在数学的学习和研究中,我们经常用函数的图象来研究函数的性质,也经常用函数的解析式来琢磨函数的图象特征,如某体育品牌的LOGO为
,可抽象为如图所示的轴对称的优美曲线,下列函数中,其图象大致可“完美”局部表达这条曲线的函数是________ ;(填写你认为正确的序号)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/c25c2aeb-c2cc-4702-9e84-e4fc301029e6.png?resizew=155)
①
;②
③
;④
;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/0484f69c-dc10-4efd-b71d-7af642a4fc10.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/c25c2aeb-c2cc-4702-9e84-e4fc301029e6.png?resizew=155)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e216bdc7d572c8c800bf84097678950c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f2f533b90dd4a2811dadaaa3918139.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad40d3453dbba02276a3da401db33031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6648f993400fde23ffa874e8a8fc30.png)
您最近一年使用:0次
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
|
943次组卷
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2卷引用:江西省七校(新余一中、丰城九中等)2020-2021学年高二(常规班)上学期第三次联考数学(理)试题