解题方法
1 . 已知
是定义在
上且不恒为零的函数,对于任意实数
满足
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d6aa5b51b3ff1469ee7a334543b6616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66f16fcb06e100b7194a60852e151b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7558ff6e9d8b18314583dab83805bfb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-05更新
|
763次组卷
|
2卷引用:广东省汕头市潮阳区棉城中学2023-2024学年高二上学期数学竞赛试题
解题方法
2 . 已知函数
,其中
为常数.
(1)判断
的奇偶性,并说明理由;
(2)若在
上存在![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
个不同的点
(
),满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94eba026ab9188e4deaef4f24f67769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8050bd480227fa5a97d64e74ae97518.png)
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7239984ac3f00112921239e1dd3313c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80be0c3c50d2bd6230b53fbd056122df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c31a81f198c443e71b83ca662939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5867fde790c54e6a931c5d1d22b049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94eba026ab9188e4deaef4f24f67769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8050bd480227fa5a97d64e74ae97518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3dab458f8442e7cf674f6de24ab07c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
3 . 若函数
为奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975f579159d9e8ade04e84c4da7f6b8a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b23650b569f9c465fa20f76708bed94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975f579159d9e8ade04e84c4da7f6b8a.png)
您最近一年使用:0次
2022-10-23更新
|
469次组卷
|
3卷引用:河南省驻马店市确山县第一高级中学2022-2023学年高二上学期数学竞赛试题
名校
解题方法
4 . 函数
在
上的最大值与最小值的和为_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c19f257e9dc477d46a3b61dbcff161e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34759112630cb0ae42f62595eb4f130.png)
您最近一年使用:0次
2022-10-23更新
|
243次组卷
|
2卷引用:河南省驻马店市确山县第一高级中学2022-2023学年高二上学期数学竞赛试题
名校
解题方法
5 . 若函数
,则不等式
的解集是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbab52883c15f4e8f80a9e56d3f7851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20f29bb8aa8a0770c23f0d0006002c07.png)
您最近一年使用:0次
2022-10-20更新
|
436次组卷
|
2卷引用:河南省驻马店市确山县第一高级中学2022-2023学年高二上学期数学竞赛试题
解题方法
6 . 已知函数
,则不等式
的解集为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7917130051de29c1f33dedbf5773c7b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
您最近一年使用:0次
解题方法
7 . 已知函数
,则关于
的不等式
的解集为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311f3e37df87ee30884645c0729553c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc549b5bc2655d7883184d1ed1f44c8.png)
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8 . 设等差数列
的前
项和为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fccaaf454fd4a5e89da3aeecf63684.png)
则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fccaaf454fd4a5e89da3aeecf63684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9c757bd9205f2603eb9f234505eef7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知定义在R上的函数
(
是
的导数),
且
,则
的值______ .(在“小于零、等于零、大于零”中选一个填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d45142992583fe75c4d000d7355450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a60854623ecdd7d47e8e119594e41c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a229b88f0c9a1fa3fccd43e1c0521e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1320af3e28fea8c6414b1381adaf5e52.png)
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10 . 给出两个命题,
的充要条件是x为正实数;
奇函数一定是单调函数,则下列命题是真命题的为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f191fab7bf50e2fafc70a8b9c4af9b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次