1 . 已知函数
.
(1)在给定的坐标系内,用五点作图法画出函数
在一个周期内的图象,并求函数
的单调递减区间;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/1e8fe8f2-3605-49aa-afa3-bdb604cb403f.png?resizew=272)
(2) 若函数
写出满足条件的
的取值集合。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ebfa038ce0e573f72604b896881bff.png)
(1)在给定的坐标系内,用五点作图法画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/1e8fe8f2-3605-49aa-afa3-bdb604cb403f.png?resizew=272)
(2) 若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a58f8c8de52f2877ea64cefdb8307d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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名校
2 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/d5676efe-11cc-490c-9f4a-be3b698c643a.png?resizew=184)
(1)用分段函数形式写出
在
的解析式,并画出其图象;
(2)直接写出![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
的最小正周期及其单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e3e11cde81b8c7fdf8f448101b0ef11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/d5676efe-11cc-490c-9f4a-be3b698c643a.png?resizew=184)
(1)用分段函数形式写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba8d2141d285c963ec078fe2ce8686.png)
(2)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7480ca92c4d42dac2278b658fc43e2a.png)
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2020-02-19更新
|
580次组卷
|
4卷引用:福建省泉州市2019-2020学年高一上学期期末数学试题
福建省泉州市2019-2020学年高一上学期期末数学试题福建省福州第八中学2020-2021学年高一上学期期末考试数学试题(已下线)7.3.1正弦函数的性质与图象练习(1)(已下线)【新教材精创】期中模拟卷提升篇(1)
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f65467b930bf1cde91b01e41dfdd35.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/e1768842-8d80-47bc-93c6-37d2200732e0.png?resizew=263)
(1)求函数
的最小周期、振幅、初相、频率并画出函数
在区间[0,π]上的图象.
(2)说明此函数图象可由
上的图象经怎样的变换得到.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f65467b930bf1cde91b01e41dfdd35.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/e1768842-8d80-47bc-93c6-37d2200732e0.png?resizew=263)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)说明此函数图象可由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50325b9b64491565304838bcb8f8c410.png)
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解题方法
4 . 设函数
,
图像的一条对称轴是直线
.
(1)求
的值并画出函数
在
上的图像;
(2)若将
向左平移
个单位,得到
的图像,求使
成立的
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e97b668b41a06b9dfbb3afcc4c7bdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b023393cbd91fac4ac18ce1ae70da0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ed74dbeba7d418a559f9c97c1df414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773b62172a0ec42f1691ab301fcacea4.png)
(2)若将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37303170abe43c5185aeaa639f06ee19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 已知
,
(Ⅰ)求
图象的对称轴方程;
(Ⅱ)若将函数
的图象向右
个单位长度后得到函数
的图象,请写出函数
的
解析式;
(Ⅲ)请通过列表、描点、连线,在所给的平面直角坐标系中画出函数
在
上的简图.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb7aaedd089ee6c5210a45332d0dcf4.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(Ⅱ)若将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa42b56b1c92689a080b58cb603a642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
解析式;
(Ⅲ)请通过列表、描点、连线,在所给的平面直角坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b05a5380e2940a40980199cfe1a7c13.png)
![](https://img.xkw.com/dksih/QBM/2016/1/21/1572457855197184/1572457860980736/STEM/3f746040c925458096cc828dd5c3626a.png)
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10-11高一下·福建·期末
6 . 已知函数
.
(1)求函数
的单调递增区间;
(2)用“五点法”在所给的直角坐标系中画出
在
内的简图;
(3)函数
的图象经过怎样的平移伸缩变换使其对应的函数成为偶函数?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5965f62a9e188e1e7f944203eb1f326.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)用“五点法”在所给的直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e04d4b24a383c7a70ff35295b56193.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/2011/7/11/1570252298780672/1570252304146432/STEM/dfd82fab3a9d41f8a0d58571f7fd72a4.png?resizew=247)
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7 . .已知向量
,
,函数
.
(Ⅰ)试用五点作图法画出函数
在一个周期内的图象(要求列表);
(Ⅱ)求方程
在
内的所有实数根之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95d4d6140a7f24236d88d3f2bfcbf72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3afde5e065b475d7dfa399fb9b1e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a357476b48a23294114fda157b8407d.png)
(Ⅰ)试用五点作图法画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(Ⅱ)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1732ff3aa6f1a88917e535cfd8496753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b93273c963b81d47d246dae1d7d88.png)
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