名校
1 . 已知集合
,
,
,全集
.
(1)求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e530f9f0b309da5c277883d1ea77708a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21cb93ee5f6764da3884c83a2682b0fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ce8ac061af756c4a14aba4cf4d9205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89c4e36500e5697f7945c593e1306e5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b27d78934b0010c4c659b103e68259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-01-09更新
|
181次组卷
|
4卷引用:福建省永安市第一中学2020-2021学年高一上学期期中考试数学试题
名校
2 . 已知函数
是定义域为
上的奇函数,且
.
(1)求
,
的值,判断函数
的单调性并证明;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895faeee1010f693fa376ccca28c42bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e817f37f5a814e856ebc4a16d676ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c690c224c67e1842517fe1604621978.png)
您最近一年使用:0次
2021-01-09更新
|
577次组卷
|
4卷引用:福建省永安市第一中学2020-2021学年高一上学期期中考试数学试题
名校
解题方法
3 . (1)设
化简
;
(2)求值:
;
(3)设
求
的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c435c13f18db535d3f730073b026e6b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a47cac0749556b814419432910267291.png)
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e5f03c0071f83f0a5120b16b6c368e.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6231bcba6e65b4c239aad57a115125e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b14b90bfd76545b07703d40100fb3c.png)
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名校
4 . 求值:(1)
;
(2)已知
,试用a,b表示
;
(3)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d2578ed15499e7b4f61a1553bfd47f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a8156fde1a11774458761addad3b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf842a975fc4eb344d3ec356854ceb8.png)
(3)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a45c0c44a40e5806d2730b7a500770.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
是奇函数.
(1)求
的值;
(2)若对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636900fac564d7d338cb6d5f0b118b82.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47c8cbf6a756f1435505da2bdb10389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738f29ebc272155a4dda6fa37aa4b0c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,
.
![](https://img.xkw.com/dksih/QBM/2020/12/8/2609820888621056/2612098600779776/STEM/ae6561fdab244e83b67be88f3fb04152.png?resizew=265)
(1)判断当
时函数
的单调性,并用定义证明;
(2)用分段函数的形式表示
函数,并画出函数
的图像.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c140e4fd40e242cb98c02ab51fa6faae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a117d93bdc671017a85b1c13510013f.png)
![](https://img.xkw.com/dksih/QBM/2020/12/8/2609820888621056/2612098600779776/STEM/ae6561fdab244e83b67be88f3fb04152.png?resizew=265)
(1)判断当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6330540758a21f46fc7a6d1e6328d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用分段函数的形式表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
您最近一年使用:0次
7 . 某商场经销一批进价为每件30元的商品,在市场试销中发现,此商品的销售单价
(元)与日销售量
(件)之间有如下表所示的关系(其中
,且
):
![](https://img.xkw.com/dksih/QBM/2020/12/3/2606485013225472/2610001208483840/STEM/2a4d12deeeb3410486dca72eb5548ff3.png?resizew=184)
(1)在所给的坐标图纸中,根据表中提供的数据,描出实数对
的对应点,并确定
与
的一个函数关系式;
(2)设经营此商品的日销售利润为
元,根据上述关系,写出
关于
的函数关系式,并指出销售单价为多少元时,才能获得最大日销售利润.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c2e70ee632649f2d47c3b8bd69fcae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96119cc3005adf559140161bd872143.png)
![]() | 30 | 40 | 45 | 60 |
![]() | 60 | 40 | 30 | 0 |
![](https://img.xkw.com/dksih/QBM/2020/12/3/2606485013225472/2610001208483840/STEM/2a4d12deeeb3410486dca72eb5548ff3.png?resizew=184)
(1)在所给的坐标图纸中,根据表中提供的数据,描出实数对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)设经营此商品的日销售利润为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
8 . 如图所示,定义域在
上的奇函数
的部分图象是抛物线的一部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/cb35b9f5-8728-4f5c-a70a-7cccc122464e.png?resizew=166)
(1)补全
的图象并求
的值;
(2)求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/cb35b9f5-8728-4f5c-a70a-7cccc122464e.png?resizew=166)
(1)补全
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06d8895503d214a7d9f8519561f64bc.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
9 . 已知函数
.
(1)用单调性的定义证明
在
上单调递减;
(2)判断
在
上的单调情况,并求最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5effb3053cf609f59178641cd48167.png)
(1)用单调性的定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd5357e9056695bae8eee9ca2938977.png)
您最近一年使用:0次
10 . 已知集合
,集合
.
(1)求
与
;
(2)设集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceb4727a88d86a792d352f12c0e26efc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4509dbae3cec10f24689ae5a478bc65.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40dd9f714d61a985b52583cb8403054c.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e736e3ddb3208365e5c072c93ef12cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ad73b372e2060c0d1acfab89bc5b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次