名校
1 . 已知函数
是定义在R的奇函数,且当
时,
.
(1)现已画出函数
在y轴左侧的图象,如图所示,请补出函数
的完整图象;
(2)根据图象写出函数
的单调区间及
时
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5397ee1eb6d157f6ec1e7a878f8d16e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/43aabb78-9eb7-4e67-b45a-90eecab2d3b7.png?resizew=240)
(1)现已画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)根据图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981db5e1425f4510580273488f6e1fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
您最近一年使用:0次
2024-01-11更新
|
159次组卷
|
3卷引用:新疆柯坪县柯坪湖州国庆中学2021-2022学年高一上学期期末考试数学试题
2 . 已知函数
.
(1)求
的最小正周期及对称轴;
(2)求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f100d8eb80110f5ff1a9002fddbb2e7f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
解题方法
3 . 已知函数
.
(1)求
的单调增区间;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7c7debdf9905b44ff41d808a09d1ff.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
4 . 求下列不等式的解集
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4106c9553e2d8fc1310b930e3f8a0bf0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab2fde9e3e934c51c1a424b7b40bccf.png)
您最近一年使用:0次
5 . 已知函数
,
(1)求
的定义域;
(2)求
,
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9697d54de60c268ba211787e6ecaf41.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ff351614587c9202de8f0bf0290598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
您最近一年使用:0次
6 . 设
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa86a4553fc67ebd33b91bfb05cda41.png)
(1)若
,求
的最大值;
(2)若
,求
的最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca2a2870fec6eaa336c045500b423a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa86a4553fc67ebd33b91bfb05cda41.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b55b3a3f1324c1935c84061a22581e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42acea836df9ca7c237b52df778c21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
您最近一年使用:0次
解题方法
7 . 已知函数
(
且
)
(1)若
,求
的值;
(2)若
在区间
上的最大值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fca3eab19fb7b66e161de3a7eb7d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57457379efecec3a8f98377bc5c65d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
8 . (1)已知
,求
的最大值;
(2)已知
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ef5a365f8620fa78b6a08fc832951a.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec634253b37d452172cfa39030753184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d37bb071fdceba652f7aa02baa4ed6.png)
您最近一年使用:0次
9 . 已知函数
,
.
(1)求
的最小正周期;
(2)求
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef86a8bf4180004715621dc92fd233c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
10 . 已知集合
,集合
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c5ca9904e0a3dae0bd86d3403db768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ff531bc88ddc0924f5112caab08edd.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次