解题方法
1 . 已知函数
的定义域为
为偶函数,
为奇函数,且
在
上单调递增,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ddfbbd87f1e1705f9cd2ad0c5c0aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c9b202841dc3f9b9e890b106403600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
A.![]() | B.![]() ![]() |
C.函数![]() ![]() | D.函数![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41238d9d014345bfd0a5d4bddb451c6.png)
A.![]() |
B.函数![]() ![]() |
C.对定义域内的任意两个不相等的实数![]() ![]() |
D.若实数![]() ![]() ![]() |
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3 . 已知函数
,则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dab5e541a245a67a2665f8aff4c4513.png)
A.![]() | B.![]() |
C.函数![]() | D.函数![]() |
您最近一年使用:0次
解题方法
4 . 已知函数
为定义在R上的奇函数,又函数
,且
与
的函数图象恰好有2024个不同的交点
,则下列叙述中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22bb9e42fd3982df8eb3cccbff1494a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fe0f643dbd3aab8d34bd6b2c17d5e2.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/c211abc6b053dd9cd4d62a706e737f34.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
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解题方法
5 . 已知函数
.
(1)若
,求函数
在
上的值域;
(2)若关于
的方程
恰有三个不等实根
,且
,求
的最大值,并求出此时实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3110f2cdce3db75f34c0b15f9f728cc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374cecac391fcb30f89eb77dc632b0ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957a8f753786ffb9ae62c618aed6916d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
6 . 设定义在
上的函数
满足
为奇函数,当
时,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81a59c1c237bb74e76b8485433efefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459d1d8477fd46ece5a65d40e32b4bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab30faa78cc53c104f61b1cd906c365.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-02-28更新
|
298次组卷
|
2卷引用:浙江省嘉兴市2023-2024学年高一上学期1月期末检测数学试题
解题方法
7 . 已知函数
.
(1)用单调性定义证明:
在
上单调递增;
(2)若函数
有3个零点
,满足
,且
.
①求证:
;
②求
的值(
表示不超过
的最大整数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4247d7790d83be16bc74aa5e5d12dd63.png)
(1)用单调性定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f8994d83bf4a688c0ab897a5a40fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a1cc5cfec94bc5686b41b043acdc8ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d995c5d2e1e0305d805032e18997986a.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28cbe8f17c4472d8663f9ccbe3b98f6.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59077d1948911b13d68a572eadbca3cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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8 . 已知函数
部分图象如图所示,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/41aa1569-60ff-40ec-8aef-aece615148bf.png?resizew=181)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a507d28d3d1742e8009faeccbb62b35d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/41aa1569-60ff-40ec-8aef-aece615148bf.png?resizew=181)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知函数
.
(1)当
时,求
的单调区间![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)若函数
的定义域内存在
,使得
成立,则称
为局部对称函数,其中
为函数
的局部对称点,若
是函数
的局部对称点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed043ef226eeb5aec48271343dd27b4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328c68de7e5b0204ffd6e8a265ce61a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-01-27更新
|
301次组卷
|
2卷引用:浙江省温州市2023-2024学年高一上学期期末教学质量统一检测数学试题(B卷)
解题方法
10 . 已知定义在
上的函数
,其中函数
满足
且在
上单调递减,函数
满足
且在
上单调递减,设函数
,则对任意
,均有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3abec09d3181d4ec3b20bf169242696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113c2a2712c6394ed86024edc460d70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5d78999c004da853b9ce5903fd2e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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