名校
1 . 已知函数
,其中
.
(1)判断
的奇偶性(直接写出结论,不必说明理由);
(2)当
时,比较
与
的大小;
(3)若函数
有三个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cfd4498a1cc658b943061497345f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e23b3e7a3bae640c314bc9347ff67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123d2a9d1c04f94c4219ad15f6d6fdd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
的定义域为
,且
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146ff57d46a7f258604e9660a726fdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe088397814f2e8a74c02857bab7cce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953429ee5defb3a2c68d4ec38405b474.png)
A.![]() | B.![]() | C.0 | D.1 |
您最近一年使用:0次
2024-03-03更新
|
929次组卷
|
3卷引用:吉林省部分学校2024届高三下学期高考模拟(三)数学试题
3 . 设有两个集合
,如果对任意
,存在唯一的
,满足
,那么称
是一个
的函数.设
是
的函数,
是
的函数,那么
是
的函数,称为
和
的复合,记为
.如果两个
的函数
对任意
,都有
,则称
.
(1)对
,分别求一个
,使得
对全体
恒成立;
(2)设集合
和
的函数
以及
的函数
.
(i)对
,构造
的函数
以及
的函数
,满足
;
(ii)对
,构造
的函数
以及
的函数
,满足
,并且说明如果存在其它的集合
满足存在
的函数
以及
的函数
,满足
,则存在唯一的
的函数
满足
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc020b0997a2f37b214718112b79d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2317480af8719266bb92ee59d6b2c3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf13fc6f6469b51cba724df6701f2016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acae4bf2a6bead9d904b70d0480fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acae4bf2a6bead9d904b70d0480fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b9b582f8426f1269b54ee910b97f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5609d6ec9ef33f11e359f35d27289623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e50933c5e999ca64d3046fe1fa84dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169ccf0e6e7ada48126feac1e67de0c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276509f01529d982ab21e479a4619268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c775f6d86ae37c1d2251ee935f17c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acae4bf2a6bead9d904b70d0480fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674c6027fe6ac3a582bced0c2cde8c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc020b0997a2f37b214718112b79d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a719e840660f5c08ec081ee661d7ac77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9af5ad8e107db8512bc54e627d565d.png)
(1)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585be45e95d45f86456790525ef6e24d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136c6a4d3de85560224cc18a46c60231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4e2f595418c82b94ef66a6f526e63d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169ccf0e6e7ada48126feac1e67de0c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5609d6ec9ef33f11e359f35d27289623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(i)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2836fa0f9aca03548ec72d1bd49d9ff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07005ca97e96fafcef55ec126ba84f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0603e63b4cc9944c237e4a776f0688b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e52c39d6ffd048bfa7bc97d849029ea.png)
(ii)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2836fa0f9aca03548ec72d1bd49d9ff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07005ca97e96fafcef55ec126ba84f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0603e63b4cc9944c237e4a776f0688b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e52c39d6ffd048bfa7bc97d849029ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b1a5427d8ff23df0f3ec194756c84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686c919499ba2092f18a1555c5e1bce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a886d45a46bdde67115c5911cb85ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f2e87a902efe698955b1b7d805690b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735dd0765a19f97a03c9db4babb64ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d249478e181957c41657b2c61c1ad50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/916a915b809c8d0028cbe245e0149e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f5817ab7b88e9d8a83dd086ffdb3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3909505a98004589b98f9d14e1bd41d.png)
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名校
解题方法
4 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/899b4fe0d03a4ccf4c38be65c73bb148.png)
A.若函数![]() ![]() |
B.函数![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2024-01-24更新
|
340次组卷
|
2卷引用:浙江省衢州市2023-2024学年高一上学期1月期末数学试题
名校
解题方法
5 . 已知函数
是定义在实数集
上的奇函数,当
时,
.若
恒成立,则实数
的取值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025b829d071797e475f8999de04ba7db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1585fc97f091775f4f9154ccd5e233a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.-1 | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
解题方法
6 . 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
|
764次组卷
|
2卷引用:广东省韶关市2024届高三上学期第一次模拟考试数学试题
名校
7 . 已知
是定义在
上的奇函数.
(1)求
的值;
(2)若函数
的图象可以由函数
的图象通过平移得到,求函数
的值域.
(3)若存在区间
,使得函数
在
上的值域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/861ed1212f61add6619e690ffcc9cbb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/327714c1c42a4d5f98bf30963c273362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若存在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711e45f600c091e6830c0b70cd012ca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f281484aff19ff969ba23aa3051349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2878b19591466768fc3a6378ac8f74e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2023-11-19更新
|
1162次组卷
|
4卷引用:江西省南昌市第二中学2023-2024学年高一上学期期中考试数学试卷
名校
解题方法
8 . 已知函数
,其中
为常数.
(1)当
时,解不等式
的解集;
(2)当
时,写出函数
的单调区间;
(3)若在
上存在
个不同的实数
,
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)若在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e946baf1316ac1f219398ecedadf6cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c84367e55e896aee2b24cb90a9ba829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5341c6040416a2bc0732121a35918d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02b2a2459a73f0fdee1247ae6d3ac30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-17更新
|
303次组卷
|
2卷引用:湖北省十堰市示范高中教联体测评联盟2023-2024学年高一上学期11月联考数学试题
2023高一·上海·专题练习
9 . 已知集合
,对于A的子集S若存在不大于
的正整数
,使得对于S中的任意一对元素
,都有
,则称
具有性质
.
(1)当
时,判断集合
和
是否具有性质P?并说明理由;
(2)若
时,
①如果集合S具有性质P,那么集合
是否一定具有性质P?并说明理由;
②如果集合S具有性质P,求集合S中元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9339881c0656333bcf189bbe2d867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0158862238e250d2a2598b7d4ecd148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7523fecc77a1255c47513d0c9069d7d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe08722cf9300fe188dbbb71989c06c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7184758c3709c0f7357ab00f76934c6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b0ca2103cce42de638e243d4db0aff.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b5bac75feb05df90a4c14fa6d5cb92.png)
①如果集合S具有性质P,那么集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6994835e6d2e349b7f369fd8c767e174.png)
②如果集合S具有性质P,求集合S中元素个数的最大值.
您最近一年使用:0次
名校
解题方法
10 . 设
是定义在
上的函数,若
是奇函数,
是偶函数,函数
,若对任意的
,
恒成立,则实数
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f74a1a70960d9f7877f777dfaaa1d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c822c874e9ccc9ed9e0d126b01ce9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a33be56de75c7dbbdf000cb3dbb2bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf22a342373c046f8f44c1221c8b36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c18d7e968d9c9b87604252fe96a3fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-14更新
|
932次组卷
|
2卷引用:湖南省长沙市第一中学2023届高三下学期2月月考(六)数学试题