名校
1 . 已知函数
,
;
(1)用“五点作图法”画出函数在一个周期内的图像(体现作图过程);
(2)若
的图像关于点
对称,且
,求
的值;
(3)不等式
对任意的
恒成立,求实数
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed4cbe855cac33fc5c17e3b561422f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)用“五点作图法”画出函数在一个周期内的图像(体现作图过程);
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2ae5a4c0e26403de012495d5207ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3038a4b8c02b12b821fbd0fd69145900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d40b0c4fd043d372c463db08659e779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab66dbadf24162e3db57849591073717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9c48e36f2c35dd8308029445332aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
2 . 已知函数
.
(1)试用“五点法”画出它的图象;
列表:
作图:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/1aac4d37-b535-4c98-ba7e-5f3d1771b1ea.png?resizew=399)
(2)从正弦曲线出发,如何通过图象变换得到函数
的图象?(两种方法)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a399a52ee750be637298b886f6d072e.png)
(1)试用“五点法”画出它的图象;
列表:
![]() | |||||
![]() | |||||
![]() | |||||
![]() |
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/1aac4d37-b535-4c98-ba7e-5f3d1771b1ea.png?resizew=399)
(2)从正弦曲线出发,如何通过图象变换得到函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a399a52ee750be637298b886f6d072e.png)
您最近一年使用:0次
3 . (1)利用“五点法”画出函数
在长度为一个周期的闭区间的简图.
列表:
作图:
的图象经过怎么变换得到的.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc488b43a6f9fe64fa30a4f8ee2d1fc.png)
列表:
x | |||||
y |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ad672c139fa8979e35f789fd43e275.png)
您最近一年使用:0次
4 . 已知函数
.
(1)求函数
的最小正周期及其单调递减区间;
(2)用“五点法”画出函数
在
上的图象(列表并作图),由图象研究并写出
的图象在区间
上的对称轴和对称中心.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69dc53cd7d3d3edad18ff6b696cef407.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用“五点法”画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636234cc524f8498371780a65c7c56a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636234cc524f8498371780a65c7c56a2.png)
您最近一年使用:0次
名校
5 . 已知函数
.
(1)求
的最小正周期;
(2)在给定的坐标系中,画出
在一个周期内的图像(必须写出作图过程).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/8f40cd82-9e29-40f0-9091-b4dc3de9e72f.png?resizew=222)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b674c072c3a92d02b711c1a81fc380.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在给定的坐标系中,画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/8f40cd82-9e29-40f0-9091-b4dc3de9e72f.png?resizew=222)
您最近一年使用:0次
2020-11-24更新
|
669次组卷
|
2卷引用:广东省深圳市罗湖区2019-2020学年高一上学期期末数学试题
6 . 已知函数
.
在区间
上的图象,他列出表格,并填入了部分数据,请你帮他把表格填写完整,并在坐标系中画出图象;
(2)已知函数
.
①若函数
的最小正周期为
,求
的单调递增区间;
②若函数
在
上无零点,求
的取值范围(直接写出结论).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb53e14aa7225debe814dc53dfa5cb79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/261f998fc8fcf7da2931205de40cd6d4.png)
![]() | ![]() | ![]() | ![]() | ![]() | |
![]() | 0 | ![]() | ![]() | ![]() | |
![]() | 0 | 2 | 0 | 0 |
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a26e8f4212b5aa220abb86fc00902ef.png)
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ceecc74c6f1f2bb03d025faa347bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
7 . 已知函数
.
(1)填写下表,用“五点法”画出函数
在一个周期上的图象;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816b60d5034f6899b30aeab1e51ecdfe.png)
(1)填写下表,用“五点法”画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816b60d5034f6899b30aeab1e51ecdfe.png)
![]() | ![]() | ![]() | ![]() | ||
![]() | ![]() | ![]() | ![]() | ||
![]() | 0 | 2 | 0 | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fcc71bd2da1877d85269abd79496504.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
,
.
(1)在用“五点法”作函数
在区间
上的图象时,列表如下:
将上述表格填写完整,并在坐标系中画出函数的图象;
在区间
上的最值以及对应的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68cf294952dfae06a1263c6cadc607bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)在用“五点法”作函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![]() | ![]() | ![]() | ||||
![]() | 0 | ![]() | ||||
![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7514152dc8e0412f21da329682abeb13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
(1)填写下表,并用“五点法”画出
的图象.
(2)若函数
满足不等式
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11147d3f379cb51f74da077ed2785ee.png)
(1)填写下表,并用“五点法”画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![]() | ![]() | ![]() | ||||
x | 0 | ![]() | ||||
![]() |
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/19/b2c7843f-4dfd-4afb-9549-914186f51fd9.png?resizew=333)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bc978a69f65368d8da9700b526baee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
10 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a956a9767a4bf63624c31cba1e72ce.png)
(1)求
;
(2)若
,且
,求
的值.
(3)画出函数
在区间
上的图像(完成列表并作图).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a956a9767a4bf63624c31cba1e72ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a423e593de879ed0f4cfe054d8f3f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a64c7e28fd46eace2bc7fcba5e2d444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
(3)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
![](https://img.xkw.com/dksih/QBM/2018/6/1/1957886927265792/2007600146096128/STEM/b365700c75be4ff08833ba7ab9e6bbbc.png?resizew=296)
您最近一年使用:0次
2018-08-10更新
|
802次组卷
|
2卷引用:【全国校级联考】广州市培正中学2018年高一第二学期数学必修(四)综合测试题一