名校
1 . 已知函数
,给出下列四个结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f54ea4ec6ca40bddc22008396880d0.png)
A.![]() |
B.![]() ![]() |
C.若![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2023-12-27更新
|
350次组卷
|
2卷引用:山东省潍坊市昌乐第一中学2024届高三上学期12月月考数学试题
解题方法
2 . 已知定义在
上的函数
,对任意
,有
,且
时,
.
(1)判断函数
的奇偶性并证明;
(2)判断函数
在
上的单调性并证明;
(3)若
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbf98e40f2f23810467a5c599ea62c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bd6e035a5577988a6fbb8d49e87156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efe66db991b562c73ffb16c1e585870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c81a0bb9174e7784a21e87cc0e07253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f3053365669cc6fc499fbfd8459a5d.png)
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名校
解题方法
3 . 已知函数
,
满足
.
(1)设
,求证:函数
在区间
上为减函数,在区间
上为增函数;
(2)设
.
①当
时,求
的最小值;
②若对任意实数
,
恒成立,求实数
的取值范围.
![](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/88d0fa6692dabe155895e6deca98da84.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4a90cfdbfa05577b6ec0b22739e7c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95167d339851668666c00819537737c4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56251c77cc3fd1db89c33003519a116.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
②若对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5db0c90f213d6bf3ef7949cc00aa27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a37e21a940c03985a1458167b5e6c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-27更新
|
401次组卷
|
5卷引用:山东省潍坊市2023-2024学年高一上学期11月期中质量监测数学试题
山东省潍坊市2023-2024学年高一上学期11月期中质量监测数学试题湖北省黄冈市浠水县第一中学2023-2024学年高一上学期期中数学试题山东省淄博市美达菲双语高级中学2023-2024学年高一上学期期中数学试题江西省抚州市资溪县第一中学2023-2024学年高一上学期期中调研数学试题(已下线)专题04 函数的性质与应用1-期末复习重难培优与单元检测(人教A版2019)
解题方法
4 . 已知函数
的定义域D关于原点对称,
且
,当
时,
;且对任意
且
,都有
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d07925441f4988696fb0874ab8f7ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be65233277643e084c5b6a8651956e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c61be575f8c0b00027cad34b172822bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607f9f663f2b270aa0aca10a395cc0b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a069688e4c797fcf527eab15afa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82cdf9c61eee6eebb4feabf5bd77297.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
5 . 已知函数
的定义域为D,对于给定的正整数k,若存在
,使得函数
满足:函数
在
上是单调函数且
的最小值为ka,最大值为kb,则称函数
是“倍缩函数”,区间
是函数
的“k倍值区间”.
(1)判断函数
是否是“倍缩函数”?(只需直接写出结果)
(2)证明:函数
存在“2倍值区间”;
(3)设函数
,
,若函数
存在“k倍值区间”,求k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0195f699765021e2c6ea985e487971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
(2)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/145308f261838fa4fbf8245dc4122fb7.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eefed4d5c46a49d33f185fcd31339c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a8d578ace45420869dda45ad3b66c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
您最近一年使用:0次
2023-02-10更新
|
359次组卷
|
2卷引用:山东省潍坊市2022-2023学年高一上学期期末考试数学试题
解题方法
6 . 定义在
上的奇函数
满足:对任意的
,
,有
,且
,则不等式
的解集是( )
![](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/42fd7af568e3d9f444beb0ff41426477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511eb8da621dd4e74acc6ab43de0814b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-02-10更新
|
406次组卷
|
2卷引用:山东省潍坊市2022-2023学年高一上学期期末考试数学试题
解题方法
7 . 已知定义在R上的函数
的图象是连续不断的,且满足①
;②
,且
都有
;③
.则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f344ff7ef60718ee9b17154586e01cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8791f252c1c273c1ef5cd048ca8dabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d9712c3b25f3030e166e136d3a4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cfef941a1d2215a4f6cb52108604090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2635c6e599f816c706e471a3c197d5.png)
A.![]() |
B.函数![]() ![]() |
C.若![]() ![]() |
D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 写出一个同时满足下列三个性质的函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
______ .
①
是奇函数;②
在
单调递增;③
有且仅有3个零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-01-15更新
|
669次组卷
|
3卷引用:山东省潍坊市2022-2023学年高三上学期期末数学试题
名校
解题方法
9 . 定义在
上的函数
,满足对任意
,有
,且
.
(1)求
,
的值;
(2)判断
的奇偶性,并证明你的结论;
(3)当
时,
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53329c5598fe527e54320d5cb351240c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab8f89579d7f7e051e76e2df9c68db5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0de67a5a63a0f53fe034bd24da39f0.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a20174e8cdd1a0dcc9c1b53f3cc6d3.png)
您最近一年使用:0次
2021-11-25更新
|
461次组卷
|
4卷引用:山东省潍坊市安丘市第一中学2023-2024学年高三上学期9月月考数学试题