名校
1 . 若函数
为奇函数,当
时,
(如图).
(1)求函数
的表达式,并补齐函数
的图象;
(2)用定义证明:函数
在区间
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848eda71f9ff5a99d93b6638195fff8e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/7df1ed56-0804-42fc-a863-626459715eb1.png?resizew=157)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)用定义证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081525f3503cc53cced315c11147556c.png)
您最近一年使用:0次
2018-01-10更新
|
630次组卷
|
3卷引用:【全国百强校】宁夏石嘴山市第三中学2017-2018学年高二6月月考数学(文)试题
2 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defe8603ada1c2de987abfac40501a48.png)
(1)判断函数
的奇偶性
(2)作函数
的简图(在答题卡上作图,不需要写作图过程)并写出函数的单调递增区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defe8603ada1c2de987abfac40501a48.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)作函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
您最近一年使用:0次
名校
3 . 已知二次函数
为奇函数,且在
时的图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/87684196-107d-4465-b8c8-3fe35d35c0dd.png?resizew=188)
(1)请补全函数
的图象;
(2)求函数
的表达式
(3)写出函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/87684196-107d-4465-b8c8-3fe35d35c0dd.png?resizew=188)
(1)请补全函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2021-11-29更新
|
184次组卷
|
2卷引用:宁夏青铜峡市高级中学2021-2022学年高一11月测试数学试题
名校
4 . 下列命题正确的是________ .(填写正确的序号)
①在等差数列
中,有
,则
;
②已知数列
是正项等比数列,且
,则
的值可能是
;
③已知函数
是定义在R上的奇函数,且对任意
,都有
成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b6ed8cbd4162259985201ddfa4a049.png)
.
①在等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788beef99e78bcb25b193a0e50362d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634e9a8afd9e6c931307dfaabb06810.png)
②已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3469ea4b3664ef316692458c96ac68d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
③已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e04b4cd16224102ef696222caa56ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b6ed8cbd4162259985201ddfa4a049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afcc9c8a1885dad421eb332afc8c6039.png)
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2020-11-20更新
|
194次组卷
|
2卷引用:宁夏六盘山高级中学2021届高三上学期第二次月考数学(文)试题
解题方法
5 . 下列说法:
①函数
的单调增区间是
;
②设
是
上的任意函数,则
是偶函数,
是奇函数;
③ 已知
,
,若
,则实数
取值集合是
;
④ 函数
对于定义域
内任意
,当
时,恒有
;
⑤已知
是定义在
上的函数,则存在区间I,满足
,使得对于
上任意
,当
时,恒有
.
其中正确的是__________ .(只填写相应的序号)
①函数
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/f174f4eab68c4c0d826dc9d94471016a.png?resizew=68)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/2b0f199941c446a9bd239db7aac53c76.png?resizew=51)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/99413f4911de4c3094f074aa96607ff0.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee39054b31845a20e9de6df3beae06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0353d311ce3108fd9fe6eb1136a06a7e.png)
③ 已知
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/664c06369a04469a9556e6ce0a51e9ee.png?resizew=102)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/ee24c66e78b94316a8251b73130d3463.png?resizew=125)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/880bba98048447689fc6d1e039e548ae.png?resizew=72)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/6b0a614b28014f7d8608115ea0ea2f54.png?resizew=44)
④ 函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23e766bb3c4275adb434ce8c550ea18.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/99413f4911de4c3094f074aa96607ff0.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/e93f011adbc0484cba6fadfeffaf0291.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/d56911400a2648ca9763b57ac1707e08.png?resizew=49)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e63973a4b1bb9865b41d975bd80952.png)
⑤已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4ac30923a9784daba8d2d469ed3ff.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/99413f4911de4c3094f074aa96607ff0.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/4ccb2937e9f14e1d9459f251f5979140.png?resizew=42)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/e93f011adbc0484cba6fadfeffaf0291.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2015/1/5/1571948313206784/1571948319064064/STEM/d56911400a2648ca9763b57ac1707e08.png?resizew=49)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a4ab6155e1fd2c8f9508efa3adcda0.png)
其中正确的是
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名校
6 . 给定函数
.
(1)在同一坐标系中画出函数
的图像,
(2)若
表示
中的较小者,例如
.记
.
(i)请分别用图像法和解析法表示函数
,并指出函数
的单调区间,
(ii)当
时,求
的最大值和最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56f222941705a0d357c41f31a28eed1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/9/f71e5bb2-97b4-4a09-a35c-bef55fb44148.png?resizew=173)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/9/55845a90-8590-42c3-972c-a2c7f3305892.png?resizew=173)
(1)在同一坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcf98ae4aff5b41b9356ee67ad9f562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699c3bc5ed803e2fcbdffb5fde2c72a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241541a56cadaf957535d9a432a1e0e7.png)
(i)请分别用图像法和解析法表示函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
(ii)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f14273368dc6727d18fdd4580e0f641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
您最近一年使用:0次
2023-09-09更新
|
557次组卷
|
4卷引用:宁夏银川市宁夏育才中学2024届高三上学期月考一数学(理)试题
名校
7 . 分别根据下列两个实际背景
(1)求函数
的解析式;
(2)画出函数
的图象;
(3)求函数
的值域.
背景1:在国内投递外埠平信,每封信不超过
付邮资80分,超过
不超过
付邮资160分,超过
不超过
付邮资240,依此类推,每
的信应付邮资
(单位:分).
背景2:如图所示,在边长为2的正方形
的边上有一个动点
,从点
出发沿折线.
移动一周后,回到
点.设点
移动的路程为
,
的面积为
.
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
背景1:在国内投递外埠平信,每封信不超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0771acf9b0116e83a098817e8cf588e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0771acf9b0116e83a098817e8cf588e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55c922dcbe2ca3c2557f997281fcd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55c922dcbe2ca3c2557f997281fcd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45cf1e9fd0d9a95b28098cee9b398f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de77d3c5ee5d9c7f06f332d8dd79288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
背景2:如图所示,在边长为2的正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/8/9d7392ba-079c-43f4-96fd-ca7604c8b858.png?resizew=149)
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名校
8 . 已知函数
,用
表示
中的较小者,记为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/1426aea1-e625-47c3-834a-d0b48c417077.png?resizew=166)
(1)在给定的坐标系中,画出函数
的图象;
(2)结合图象写出函数
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6002c3b37de6c86fce0194a74be527c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b329728a2ed137520e75fd0455c2f30c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/23/1426aea1-e625-47c3-834a-d0b48c417077.png?resizew=166)
(1)在给定的坐标系中,画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
(2)结合图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a01f3f7af9a5d29441194a8db5fb5a.png)
您最近一年使用:0次
9 . 已知
,函数
.
(1)当
时,画出
的图象,并写出其单调增区间;
(2)设
,函数
在
既有最大值又有最小值,分别求出实数m,n的取值范围(用a表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44aca6c00903b9dd306287ba3bb91035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/1/9fe393c7-3afa-422a-848b-f6aa9faf9328.png?resizew=126)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
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名校
解题方法
10 . 已知
是定义在
上的奇函数,且
时,
.
(1)求函数
的解析式;
(2)画出函数
的图象并写出函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d901f52ac4d6271bdc3450017fa9789.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次