1 . 已知函数
,给出以下说法:
①当
时,
有三个零点:②过
的直线与
和
都相切,则
;
③若
,则
;④
的图象的对称中心为
.
其中说法正确的有________ .(填写所有正确说法的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c26ca70f2598f34885b61eac85e010.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b3a98af50d483a66026b8179e93c6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0b28126fc71f25ea7e92be595b26f3.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d8d4a04bcba8f18260d0018383824f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859f10c0e95f7ae1e975e33d123a28e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc085f908df6ac3702da90e091eb20e.png)
其中说法正确的有
您最近一年使用:0次
名校
解题方法
2 . 已知函数
给出下列结论:
①
的图象关于点
对称;
②
的图象关于直线
对称;
③
是周期函数;
④
的最大值为
.
其中正确结论有______ .(请填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78792c88364e8c4c4156609405a84bef.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8c5671c7a231e69641186f554755f0.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c3319647314c3b6d82958a909acd2a.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
其中正确结论有
您最近一年使用:0次
解题方法
3 . 已知函数
,
的定义域均为
,且
,
.若
的图象关于直线
对称,且
,有四个结论①
;②4为
的周期;③
的图象关于
对称;④
,正确的是______ (填写题号).
![](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/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde99b1c6e97508d5047f24db5671116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac5a567601c3ec9b3ef63a80b546536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a431537df789febf4bc45e3dc23cefaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed57d79c717fc8cf7ede3d9995c98359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619dfe49a03c16d3417af006fb252d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ffa04830a54771969954847ce4f0f6.png)
您最近一年使用:0次
2023-03-09更新
|
639次组卷
|
3卷引用:江西省赣州市2023届高三摸底考试数学(理)试题
名校
4 . 已知函数
满足
,当
时,
,且
.若
,则下列结论中正确的是__________ .(填写序号)
①
;
②
;
③
可能为0;
④
可正可负.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c523fdae1b79e8dd663fe695f8fd11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25746a9eb7e166ba3dc61272a9ad8f81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ed85d47b4f488a9b5e211938cc5424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f740d07237106a0c1b95bf6400a96b47.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147f89995c5aa07ce7f797c308c9c7d2.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d47c1b2254840eb6c54ec0c6214990.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfc8f775c0c874c4ea920136a91db8f.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfc8f775c0c874c4ea920136a91db8f.png)
您最近一年使用:0次
2022-12-15更新
|
212次组卷
|
3卷引用:上海市文来高中2023届高三上学期期中数学试题
上海市文来高中2023届高三上学期期中数学试题沪教版(2020) 必修第一册 单元训练 第4章 单元测试(A卷)(已下线)专题01幂函数、指数函数与对数函数全章复习攻略与难点强化训练(2)-【寒假自学课】(沪教版2020)
名校
解题方法
5 . 已知定义在
上的函数
,满足
,且
,
,当
时,
(
为常数),关于
的方程
(
且
)有且只有
个不同的根,则能推出下列正确的是___________ (请填写正确的编号).
①函数
的周期![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7825eb57ef8a7f2021fa1859a914c4e9.png)
②
在
单调递减
③
的图象关于直线
对称
④实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae2faafba63c4eb7f4fb2be03f51990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe9f3099ed9429dc5b4e38a350e524a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520fc12add3dd8b795ce092d2ba279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e80db7f2d705016809640d5c30dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487763fb046ceaeda3d0cf5ac1072bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585f3218f0995587263adaa5852fb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e39d5e02c73285b9ac42d3caa3967f0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7825eb57ef8a7f2021fa1859a914c4e9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
④实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ebfa9cd052040a7bf05927ff53d075.png)
您最近一年使用:0次
2021-10-24更新
|
669次组卷
|
2卷引用:四川省成都市树德中学2021-2022学年高三上学期10月阶段性测试数学(理)试题
名校
解题方法
6 . 已知函数
,
.下列有关
的说法中,正确的是______ (填写你认为正确的序号).
①不等式
的解集为
或
;
②
在区间
上有四个零点;
③
的图象关于直线
对称;
④
的最大值为
;
⑤
的最小值为
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe15894f2b703077f9adb1b176e2ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b604c6522119e77c1cb16b91532a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d41828f11ba0076148c603453748997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd2a2f2bf065f27510da8aaef7b3e367.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c3319647314c3b6d82958a909acd2a.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6595f862f1b3dfc3e8ec0331c8cc9ed6.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535e95d241e9c978c10355dcb07da256.png)
您最近一年使用:0次
2021-01-01更新
|
1078次组卷
|
7卷引用:四川省内江市高中2020-2021学年高三上学期第一次模拟考试数学理科试题
四川省内江市高中2020-2021学年高三上学期第一次模拟考试数学理科试题(已下线)技巧02 填空题解法与技巧 第二篇 解题技巧篇(练)-2021年高考数学二轮复习讲练测(浙江专用)西藏自治区山南市第二高级中学2021届高三第一次模拟考试数学(文)试题西藏自治区山南市第二高级中学2021届高三第一次模拟考试数学(理)试题四川省内江市2021届高三第一次模拟数学(理)试题四川省宜宾市第四中学校2023届高三二诊模拟理科数学试题四川省泸县第四中学2023-2024学年高三上学期10月月考数学(理)试题
2020高三·全国·专题练习
7 . 已知函数
,给出下列四个命题:
①函数
的图像关于点
对称;
②函数
的图像关于直线
对称;
③函数
在定义域内单调递减;
④将
的图像向右平移1个单位,再向下平移1个单位后与
的图像重合.
其中真命题是_________ (填写编号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2be7dd5159f5ad6049845e8a30ccede.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef854dfcbba9b7dedc1bc52f6332b011.png)
其中真命题是
您最近一年使用:0次
8 . 若函数
的图象存在经过原点的对称轴,则称
为“旋转对称函数”,下列函数中是“旋转对称函数”的有_________ .(填写所有正确结论的序号)
①
;②
;③
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade82a0be462a571386429d841ee89f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5f5f1ec1b9066cb0b9cd629c0a2000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12caac0193ee1d682777f2e4d3a8594.png)
您最近一年使用:0次
2019-03-07更新
|
325次组卷
|
4卷引用:【校级联考】河南省十所名校2019届高三尖子生第二次联合考试数学(理)试题
【校级联考】河南省十所名校2019届高三尖子生第二次联合考试数学(理)试题2019届河南省天一大联考“顶尖计划”高三第二次考试(2月)数学(理)试题(已下线)专题8.2 创新型问题 玩转压轴题-玩转压轴题,进军满分之2021高考数学选择题填空题【校级联考】江西省上饶市“山江湖”协作体2018-2019学年高一(自招班)下学期第一次月考数学试题
名校
解题方法
9 . 已知函数
,关于函数
有下列结论:
①
,
;
②函数
的图象是中心对称图形,且对称中心是
;
③若
是
的极大值点,则
在区间
单调递减;
④若
是
的极小值点,且
,则
有且仅有一个零点.
其中正确的结论有________ (填写出所有正确结论的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778106f1ab8511bc7426f3be59ca8fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c7a319f1fb9ef4cd6bd9eb5ab0c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c271655227307728ec0a55c80fcdd5.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c55bdab662f2bb3c8af0448f7ec5554.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c17fee823e8f85d055254251acc38327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
其中正确的结论有
您最近一年使用:0次
2020-06-25更新
|
686次组卷
|
5卷引用:内蒙古包头市2020届高三第二次模拟数学(文)试题
内蒙古包头市2020届高三第二次模拟数学(文)试题内蒙古包头市2020届高三第二次模拟数学(理)试题(已下线)第二单元 函数概念与基本初等函数 A卷 基础过关检测)-2021年高考数学(理 )一轮复习单元滚动双测卷四川省江油市江油中学2020-2021学年度高三7月份第二次考试文科数学试题(已下线)三轮冲刺卷03-【赢在高考·黄金20卷】备战2022年高考数学(文)模拟卷(全国卷专用)
名校
10 . 已知
为常数
,对任意
,均有
恒成立.下列说法:
①
的周期为
;
②若
为常数)的图像关于直线
对称,则
;
③若
且
,则必有
;
④已知定义在
上的函数
对任意
均有
成立,且当
时,
;又函数
为常数),若存在
使得
成立,则
的取值范围是
.其中说法正确的是____ .(填写所有正确结论的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d781452902a2f787f1d9296338741879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a47c9d7407cc10f79a42882c2bffab79.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db57b61c85b039d829c4d0ead114b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d40aae4110ea16d0c869a135dcf6af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ab55208f5d80ef537205fcca80a9ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245d2a2eb49cb300ebac1f0b7455dab7.png)
④已知定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17637bcc2877b4e70ef695d0522d48a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1275f567f4313471df4daad443743f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b65152307156e7e90157f02590af14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa458f5b31cc34a571936e60357520f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f35d70b53356195cab0cf1a21a0d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0e81c4720e3a600f83bc64ec3494c8.png)
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