名校
解题方法
1 . 定义在R上的函数
满足
,且
,
①
的值域为
; ②
的最小正周期是4;
③当
时,
; ④方程
恰有4个实数解.
上述正确命题的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac67215b94c77be50360a64b16cceeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5448a19cf9cf7970ffb209d5e9ffa267.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb2f360028740b06001ab1c3739c1fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350cbd2f5a3f5e72d5f0db5bd63964ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4bf4aa648b06d0a9f4782bcd0821d4c.png)
上述正确命题的序号是
您最近一年使用:0次
2024-06-08更新
|
164次组卷
|
2卷引用:天津市滨海新区大港油田实验中学2023-2024学年高二下学期第二次月考数学试卷
解题方法
2 . 如图,在平面直角坐标系
中放置着一个边长为1的等边三角形
,且满足
与
轴平行,点
在
轴上.现将三角形
沿
轴在平面直角坐标系
内滚动,设顶点
的轨迹方程是
,则
的最小正周期为______ ;
在其两个相邻零点间的图象与
轴所围区域的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
3 . 已知函数
,
的定义域为
,
为
的导函数,且
,
,若
为偶函数,求
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26085e18adbb6e846518100923aac4a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c2c2cf72d6cdcc5a3b8cc5b4fe4c39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df067632045f83dbbcdc8dac67b55e.png)
您最近一年使用:0次
名校
解题方法
4 . 设函数
的定义域为
,
是偶函数,
是奇函数,当
时,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fbfac76abac6b20fe1713b98d78c6d8.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed2dd8a797d6da9c89e858aed9a7da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77538bd3aba1864f5eac30dae75b36d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720b539b3a4b94c86ac18702a75bc577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e78f884703336d4070c71fd02a07e95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fbfac76abac6b20fe1713b98d78c6d8.png)
您最近一年使用:0次
解题方法
5 . 已知定义在上的函数,
满足
,
且
,
,则
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,则下列说法正确的是__________ .
①
是
的周期
②
的图象有对称中心,没有对称轴
③当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2960335c7821a92e6477fcdb6fc980.png)
④对任意
在
上单调
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5225a8ceeef139164975a4f8f34c6b8c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6283166f874ed2823ac7b8be04507870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2960335c7821a92e6477fcdb6fc980.png)
④对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc13cbcd37d287b9608cacc3e098c517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da42f896593b627317d454804e0d0a8.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
满足:
.则下列三个结论:
(1)
;
(2)
;
(3)
.
其中正确的结论是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84308415981e12bdc1d88df1ae1917e3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0071ebf12b58e0c6c7e199766088a6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f1e3d6c9d0dc844801a207c4f32e76.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cea4a4721bd2a013227367f5233ebed.png)
其中正确的结论是
您最近一年使用:0次
名校
8 . 已知函数
是
的奇函数,对任意
,都有
成立,当
,且
时,都有
,有下列命题:
①
;
②直线
是函数
图象的一条对称轴;
③函数
在
上有5个零点;
④函数
在
上单调递减.
则结论正确的是______ .
![](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/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbf125838217a7f42364e7aec81cc25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6c0fddb9074dfc96be03b4aa24d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937ed54cc24fdaf5292f408a49eabefc.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf2917e77945b30da7be9b48b0b317a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2a7b456eeaf035021c1db7beea8512.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8434625e23870a2d1595d373d55a739.png)
则结论正确的是
您最近一年使用:0次
解题方法
9 . 设定义在
上函数
,
满足:
,
,且
为奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ ,
最小正周期![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23cb763b3517a6204a9e9eb1d6163553.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbca6ad377da75b7945730fce46dacb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6db56bfeab68e817cb56684709296c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe17821ea81c6fec60bd5273901bd50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23cb763b3517a6204a9e9eb1d6163553.png)
您最近一年使用:0次
10 . 已知定义在R上的偶函数
满足
,
,若
,则不等式
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2504fdc8dc45e68e477760e43bc8124e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351950f5ef13f309b41dca7ac8e42300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ad022e083bb04aa44bb6cac10c0bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5122b46fa16652aa887e5cce9b52eb23.png)
您最近一年使用:0次
2023-03-30更新
|
1122次组卷
|
7卷引用:河南省郑州市2023届高三第二次质量预测文科数学试题