解题方法
1 . 已知函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/c50539f4-a38a-4e0d-9ca1-b8965c6f8e44.png?resizew=246)
(1)求
的解析式;
(2)把
的图象上所有点的横坐标伸长到原来的
倍(纵坐标不变),得到函数
的图象,证明:
在
上有最大值的充要条件是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4d39076312ff7c6e94ce2d89fc5a83.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/c50539f4-a38a-4e0d-9ca1-b8965c6f8e44.png?resizew=246)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee74315c62da704465b46d9baaf26c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dfaecd216156a20f80229dd48a10c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412bb3dbe6f1b73da2100b3f1a7001f9.png)
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2021-10-12更新
|
245次组卷
|
2卷引用:专题1.6 y=Asin(ωx+φ)的图象与性质-2021-2022学年高一数学北师大版2019必修第二册
名校
2 . 已知定义在
的函数
,对任意
,恒有
成立.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/f9f7abd7-5a13-4b10-a25b-cc19b04b84a6.png?resizew=188)
(1)求证:函数
是周期函数,并求出它的最小正周期T;
(2)若函数
(
,
,
)在一个周期内的图象如图所示,求出
的解析式,写出它的对称轴的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ff4a1f5d3ad9d7668fe555e70b774c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c932cdd38a6e861cc8e1f62dddd7f213.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/f9f7abd7-5a13-4b10-a25b-cc19b04b84a6.png?resizew=188)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec89c3bc454d209007c2b29baeeb3b0.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/aa6af3e2115ce0aaf5b99ac70c4441d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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3 . 如图,函数
的图像过点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/26f44eb2-78ef-46c1-ae8c-af2b7c17a4d6.png?resizew=269)
(1)求证:
,并写出
的解析式;
(2)指出函数
的单调增区间;
(3)解方程
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb99c6441405726bd58734360911eaeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/26f44eb2-78ef-46c1-ae8c-af2b7c17a4d6.png?resizew=269)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c782473400ca663779f6fe453a1c6e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)指出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/776110dbd7aa019e43ec15964b9f8e4c.png)
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