名校
1 . 给出函数
,
(1)若
,求不等式
的解集;
(2)若
,且
,求
的取值范围;
(3)若
,非零实数
,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f18cf2aa76c59569a668ee8fb5ae420.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62acc97e485075f489e1d5e96e09958.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867f0794e209c2aa6dc1ded523427ec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](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/ea3c5462af41f417a830b88fbad13bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e1d71a91451f7086d9237c0fea607e.png)
您最近一年使用:0次
名校
2 . 下列命题中正确的是( )
A.![]() |
B.已知a,![]() ![]() ![]() |
C.已知![]() ![]() ![]() ![]() ![]() |
D.若幂函数![]() ![]() ![]() |
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解题方法
3 . 下列结论正确的是( )
A.对于![]() ![]() |
B.![]() |
C.对![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 若定义域是
的函数
满足:①
,
,都有
;②
,
,且
,都有
.则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa10bae6ce6e91bf99c580d102947b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff565afbddafe8625ef376d7eb3fa649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc2435121b2b68da22ba4662e5734c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333cf846facfab1283527ebe48961a95.png)
A.![]() | B.![]() |
C.函数![]() | D.![]() ![]() |
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2022-10-30更新
|
728次组卷
|
4卷引用:第5章 函数概念与性质 单元综合测试卷-2022-2023学年高一数学新教材同步配套教学讲义(苏教版2019必修第一册)
5 . 已知函数
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3080c69141fcf7f939088eb556302bc.png)
A.当![]() ![]() |
B.当![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() |
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2022-07-01更新
|
685次组卷
|
3卷引用:第5章 导数及其应用(B卷·能力提升练)-【单元测试】2022-2023学年高二数学分层训练AB卷(苏教版2019选择性必修第一册)
名校
解题方法
6 . 已知定义在
上的函数
满足,①
,②
为奇函数,③当
时,
恒成立.则
、
、
的大小关系正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c25fb0c3e1b6ef211233170b9aa9001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9762d86b77cdeb1cd38b1f2481707d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31d07e0e178dd81de9ab409d9475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f4290cdaadfe28081b597dbbc9c281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b304a4d06307d4a1fc8e6b31449d81fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bd888bfb31bdd6cddc28e687304406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8ad5c9547ee4f7ab0eb3e8d24c1148.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-11-19更新
|
205次组卷
|
12卷引用:函数性质的综合问题
函数性质的综合问题山东省青岛市崂山区第二中学2018-2019学年高三上学期期末数学(理)试题(已下线)专题2.3 函数的奇偶性及周期性-2021年高考数学(理)一轮复习-题型全归纳与高效训练突破新疆乌鲁木齐市第二十中学2022届高三上学期第一次月考数学试题江西省宁冈中学2021-2022学年高一9月开学考数学(理)试题新疆喀什第二中学2021-2022学年高二下学期开学考试数学试题江苏省连云港高级中学2022-2023学年高三暑期学情检测数学试题江苏省淮安市马坝高级中学2022-2023学年高三上学期9月质量检测数学试题吉林省长春北师大附属学校2021-2022学年高三上学期期中考试数学(理)试题福建省连城县第一中学2024届高三上学期暑期月考(8月)数学试题福建省厦门市湖滨中学2024届高三上学期期中考试数学试题河北省沧州市泊头市第一中学2023-2024学年高二下学期6月月考数学试题
20-21高三上·上海浦东新·阶段练习
名校
解题方法
7 . 定义在
上的函数
,若满足下面某一个条件时,
必然没有反函数,请写出所有这样条件的编号: _________ .
(1)
是偶函数;
(2)存在实数
,
在
上单调递增,在
上单调递减;
(3)存在非零实数
,
,使得对任意实数
;
(4)对任意实数
,均有
.
![](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/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b73abfe4bc26b1ded680d7abb1a2cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e682f89425146ac9cb16b2f13a014c.png)
(3)存在非零实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5591c3c8ac279146565e26da92b751a3.png)
(4)对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60fa1c6099f1f6653d53e04bbbb77bd3.png)
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解题方法
8 . 已知函数
(
,且
).
(1)求
的值,并证明
不是奇函数;
(2)若
,其中e是自然对数的底数,证明:
存在不为0的零点
,并求
.
注:设x为实数,
表示不超过x的最大整数.
参考数据:
,
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ceaa94e4cc313218d59945dfa15ee0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eee441fda2b5cf6288fd204116e78559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f6ede35bbe854c1a937375973554ba.png)
注:设x为实数,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80d0cbe26bbac441eceb3e71a29010e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0891a54fcf7ccbd9e6b8680944bc580d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b6c4f27aae9b1f3d3b8342ccc74784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00bcd0824e78a88278047e9746b02f9.png)
您最近一年使用:0次
名校
解题方法
9 .
,下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
A.![]() ![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2022-03-24更新
|
397次组卷
|
3卷引用:第四章 对数运算与对数函数 单元测试-2022-2023学年高一上学期数学北师大版(2019)必修第一册
第四章 对数运算与对数函数 单元测试-2022-2023学年高一上学期数学北师大版(2019)必修第一册湖北省问津联合体2021-2022学年高一下学期3月质量检测数学试题(已下线)专题06对数函数与幂函数-2022年新高三数学暑假自学课精讲精练
10 . 若存在实数
、
使得
,则称函数
为
、
的“
函数”.
(1)若
.为
、
的“
函数”,其中
为奇函数,
为偶函数,求
、
的解析式;
(2)设函数
,
,是否存在实数
、
使得
为
、
的“
函数”,且同时满足:①
是偶函数;②
的值域为
.若存在,请求出
、
的值;若不存在,请说明理由.(注:
为自然数.)
![](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/157ec9be134793a125df9d37ca9c04cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](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/09cad114964b344e7c9b3903a21354e4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebba733dae06b063b5e279189d5d30e.png)
![](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/15e28e94a16c1bac067b639083c2bd4d.png)
![](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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdac6d9c09151566a821c21196d7a777.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4306fb6d5419322b4b7b9140e06e43a0.png)
![](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/a813b5adbf5c7082561237894ba6d599.png)
![](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/09cad114964b344e7c9b3903a21354e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e001b0c3af613e67c5090c6d8795aed7.png)
![](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/11204e2fb6e560bf7a4ca26eaebfc526.png)
您最近一年使用:0次
2022-02-04更新
|
338次组卷
|
2卷引用:苏教版(2019) 必修第一册 突围者 第6章 全章综合检测