名校
1 . 已知函数
的定义域为
,
、
都有
,且
,则( )
![](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/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0279543c0ee8d8e6c9b6d63968216d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-09更新
|
1250次组卷
|
3卷引用:福建省福州市2023-2024学年高一上学期期末质量检测数学试卷
名校
解题方法
2 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ed49d83fd68e4b5a6a4215a8a8a3f1.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-03-07更新
|
644次组卷
|
3卷引用:福建省泉州市2023-2024学年高一上学期1月期末教学质量监测数学试题
福建省泉州市2023-2024学年高一上学期1月期末教学质量监测数学试题(已下线)微考点1-1 新高考新试卷结构中不等式压轴4大考点总结江西省宜春市宜春中学2023-2024学年高一下学期开学考试数学试题
名校
解题方法
3 . “函数
的图象关于点
对称”的充要条件是“对于函数
定义域内的任意
,都有
”.若函数
的图象关于点
对称,且
,则函数
与
在
内的交点个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f941989cf172319ef2dd07b88fe493d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2644f356ee1154ca684c7726c1d42055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86022205a7487439dd8d0897cd3bf19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36538892feba7525f052d27964315ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631dfc6f47b32407f010c75cdd447339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444e6cb104d2594e715d654270c9c115.png)
A.196 | B.198 | C.199 | D.200 |
您最近一年使用:0次
2024-03-06更新
|
495次组卷
|
2卷引用:福建省三明市2023-2024学年高一上学期期末质量检测数学试题
解题方法
4 . 已知函数
,若
的值域为
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365578ba776509c73562f25395af625e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3814eb9efb5ccd9969ac39bcfbd0ce05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知
在
上是单调函数,对任意
满足
,且
.设函数
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e127d1fbdddd16be623a3a12ee21271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f57567e757ab2bd2c967cc6a4fbb4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94da61bc50aed56f8118e4bf965e1265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c404bec03f3ac7aea396a0960d5409d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54094ef9c659507396c6051ce77f4c2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17aa6bee964fc23b7a86adc2f559aa3f.png)
A.函数![]() |
B.若函数![]() ![]() ![]() |
C.函数![]() |
D.函数![]() ![]() |
您最近一年使用:0次
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/284042c4d3e634870ccc30d49521dd13.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](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/9b1e393134de4106280668f90d9eac88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3587ff064f9af01371279ab75d22116c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284042c4d3e634870ccc30d49521dd13.png)
您最近一年使用:0次
7 . 已知函数
,
.
(1)若函数
在
为增函数,求实数
的取值范围;
(2)当
时,
,函数
在区间
上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da77594b6176f65b59863e02c144852e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80cb910ebdc2457ef24e2b07b59af1a.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1c75ed22b86d7fae5b7ca9f34eb9b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9829ad49f32fb73dbde8d1d18ab3308e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a676bd44a087927c5878d0e8e9cdba13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
8 . 聚点是实数集的重要拓扑概念,其定义是:
,
,若
,存在异于
的
,使得
,则称
为集合
的“聚点”,集合
的所有元素与E的聚点组成的集合称为
的“闭包”,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f935b7601b228d3665631bf82bf03221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479a4db00b70dce0c5d88715851fa564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38573dc7fb73024c610b7d123a449437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c254d67bba7f26489ff32cb12831095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61588617d22abd00af4ca489bb3a8787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61588617d22abd00af4ca489bb3a8787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61588617d22abd00af4ca489bb3a8787.png)
A.整数集没有聚点 | B.区间![]() ![]() |
C.![]() | D.有理数集![]() ![]() |
您最近一年使用:0次
名校
9 . 已知函数
,
.
(1)若函数
,
,求
的最值;
(2)设函数
,
在区间
上连续不断,证明:函数
有且只有一个零点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edecfbf1b4e1052468d209e8f017a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dce2bfe6e1fde9265d2a07c42bbdf58.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bfb22bf37b71482bd4649852a7dacc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc17049fc86f1ef6b73f8a14fc24d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f77f8111c7805e673a644b0a690dcc.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
在
上为奇函数,
.
(1)求实数m的值;
(2)存在
,使
成立.
(i)求t的取值范围;
(ii)若
恒成立,求n的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23db0aced2530841600107296baa0df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
(1)求实数m的值;
(2)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc73297caf4c1813530134dc85080cdb.png)
(i)求t的取值范围;
(ii)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da4a67544afb4c0edc031607e10cd91.png)
您最近一年使用:0次