名校
解题方法
1 . 已知定义在
上的偶函数
的图象是连续的,且满足
,
都有
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed09f44079099ceb5695c1653598140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7734201b5ca1330989af078b5e1a07d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a57d6d7b74ae630e6ce3b43afe6060.png)
A.![]() |
B.![]() ![]() |
C.![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,则函数
的零点个数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b48127ea96767db9eabba8b420132e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b59f869dd3d76b22f76243726880e1.png)
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解题方法
3 . 已知函数
,则
的定义域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f6909f261c97cbcfcca4cb86718020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b92ed9c28b600f6632dbc1f9fb6d5b7.png)
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2024-03-06更新
|
412次组卷
|
2卷引用:江苏省天一中学2023-2024学年高一上学期期末考试数学试卷
名校
4 . 已知集合
,
,且
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0285261e94202e1775acb00f0d9c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be68c169267e94769342895021a9147b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-02更新
|
212次组卷
|
2卷引用:江苏省天一中学2023-2024学年高一上学期期末考试数学试卷
名校
解题方法
5 . 若函数
对定义域内的每一个值
,在其定义域内都存在唯一的
,使
成立,则称该函数为“依赖函数”.
(1)判断函数
是否为“依赖函数”,并说明理由;
(2)若函数
在定义域
(
)上为“依赖函数”,求
的取值范围;
(3)已知函数
在定义域
上为“依赖函数”.若存在实数
,使得对任意的
,不等式
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4920f64bf2d21782d3cc1dcf762a82b6.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5104d5cb070f4821eed3e4b6d4444312.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067a7039d0a209dde7ee2ab83f165cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd8466b576ad34d6ef492599940f4b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f537c893dfe2661ba4273cf218c72d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ed0b4f5d3f3692248103c019dfc7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a62181e63e71982641232f19bd3b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ae0f4860c40e7f07da441d7a082c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39106d1bdd098fc71c68b9c606891eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6cfdec5cc7be35e031e3ff6e13f38d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
您最近一年使用:0次
2024-03-01更新
|
344次组卷
|
2卷引用:江苏省无锡市第一中学2023-2024学年高一上学期期末数学试卷
名校
解题方法
6 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8f3fb58748fc489ef16b5ed4d45808.png)
(1)当
时,判断
的奇偶性,并说明理由;
(2)当
时,若对任意的
,均有
成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f28b48f9ee7f155ca60e022e8c78d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8f3fb58748fc489ef16b5ed4d45808.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d3c880f30beda2ebf604976dc159c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09fcc7732fd7eac9a392b5e4cab0331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a180d480ee4f68609f4bf7d068e4316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51442bf0ef97e173588b54ee77db26b5.png)
您最近一年使用:0次
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7 . 某杀菌剂每喷洒一次就能杀死某物质上的细菌的
,要使该物质上的细菌少于原来的
,则至少要喷洒______ 次
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceceedf836ef596f48d5bd2313714151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb30e2572976018360c3cbf6976a472d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1732beb04467d20afa249f876ee7d77.png)
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8 . 已知集合
,
,
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f713d1ab6e1e5167ffd4eadfb6d6ed2c.png)
(1)若
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbec41ecbf80fe57340f55022d5a1e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88da7e318a3222330b0dabe612617cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab969771195fcca4c634b228933a203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f713d1ab6e1e5167ffd4eadfb6d6ed2c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3226acdcb97e0f41aa5cefabc8f95c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 下列说法正确的是( )
A.若角![]() ![]() ![]() ![]() |
B.若圆心角为![]() ![]() ![]() |
C.终边落在直线![]() ![]() |
D.函数![]() ![]() |
您最近一年使用:0次
名校
解题方法
10 . 已知函数
为
上的奇函数,当
时,
,则
的解集为( )
![](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/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85bb039b096eac697bd81eb104772a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次