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.![]() |
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2024-03-09更新
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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
2 . 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)
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名校
解题方法
3 . 已知
表示不超过
的最大整数,例如:
,
.定义在
上的函数
满足
,且当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3821a8de1951d6fe6bcf05ed0fedb586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239da0d432f374cbd47bbcc3f120bc6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31cc0ada3e13a381c1d4186d239ebcf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58bbbdde60cf4f80c3ea6a1740edba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbb1aa709e3afe2a9afdd8957768438.png)
A.![]() |
B.当![]() ![]() |
C.![]() ![]() |
D.关于![]() ![]() ![]() |
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2024-02-14更新
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402次组卷
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2卷引用:福建省厦门市2023-2024学年高一上学期1月期末质量检测数学试题
4 . 已知函数
的定义域为
,且
,若
,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/09a929628a481aaa14fdbcda369e7399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709c3563b82d595c9f25e77ec0084f63.png)
A.![]() | B.![]() |
C.函数![]() | D.函数![]() |
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2024-01-19更新
|
7424次组卷
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13卷引用:福建省厦门双十中学2023-2024学年高二下学期开学考试数学试题
福建省厦门双十中学2023-2024学年高二下学期开学考试数学试题2024年1月普通高等学校招生全国统一考试适应性测试(九省联考)数学试题(已下线)2024年1月普通高等学校招生全国统一考试适应性测试(九省联考)数学试题变式题11-152024年九省联考试卷分析及真题鉴赏山东省临沂第一中学2023-2024学年高一上学期期末模拟数学试题(已下线)函数的图象与性质(已下线)新题型01 新高考新结构二十一大考点汇总-2山东省临沂第十八中学2023-2024学年高一下学期2月收心考试数学试题辽宁省锦州市北镇市满族高级中学2024届高三下学期第一次月考数学试题(已下线)专题02 函数图象及性质(分层练)(四大题型+11道精选真题)(已下线)专题9 解决抽象函数问题(已下线)专题6 学科素养与综合问题(多选题11)广西南宁市第三十六中学2024届高三下学期适应性训练数学试题
解题方法
5 . 设
,用符号
表示不大于
的最大整数,如
,
.若函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc995d4dc915fce7b9aa2a580a250d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c61163f4e1b32c17ce802243394a3084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdafe3f53ae3037f46ddebad0aa1755f.png)
A.![]() | B.函数![]() ![]() |
C.若![]() ![]() | D.方程![]() |
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2023-12-24更新
|
160次组卷
|
2卷引用:福建省部分达标学校2023-2024学年高一上学期期中质量监测数学试题
名校
解题方法
6 . 已知
定义域为
,对任意
都有
.当
时,
,且
.
(1)求
的值;
(2)判断函数
的单调性,并证明;
(3)若对
,都有
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/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf20a3e9d3e9f83d8a0f1be4f3486be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d5a0e25aebe1cc182d2247ed344652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1233d79e389ea5a4047cf03e6ba1b1f4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c669227b1cc4baa5f08268cd25ec8ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd1fd4904f838e70bebc5dcb67aa1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2023-11-21更新
|
346次组卷
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2卷引用:福建省厦门市厦门外国语学校2023-2024学年高一上学期期中数学试题
7 . 设
,若
,
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b269dce1ae3396d2afc82a91dc6f97ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896df31f80127adbae738b3a014bd4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbecf5d9f49e9bc711a372b6be5d07.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
您最近一年使用:0次
名校
8 . 已知集合
具有性质
:对任意![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c639c7e5f1e7e7ee5d5ee2f30b155bb0.png)
且
,
与
至少一个属于
.
(1)分别判断集合
与
是否具有性质
,并说明理由;
(2)
具有性质
,当
时,求集合
;
(3)记
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109ddc973ddeb607835cc5f5b228ded1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c639c7e5f1e7e7ee5d5ee2f30b155bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962e7050769735338b8c0cd9feab57da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d0abe50bd46fbec83a804004b1faf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13ee542834ccbb57fcc55b1680ca9db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)分别判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5018b4f7a0a9df867f49ca39393cceb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb1506c45b52467a64a40ab513d7dc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4bc095eb4e8a4e70b0e0f142289703c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d11173d3133a5c276eaad860779014f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cf2cb0b4c96031ab79f68b7ed1018b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16274ed3be91f1c9b7abe08990442cf.png)
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9 . 定义
为与x距离最近的整数(当x为两相邻整数算术平均数时,
取较大整数),令函数
,如:
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb112e512d5a887410d86b7feace594.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b888f7b8ba7bb524207259273c5d31e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac9f6dd8dfc47f2c207cee942ce9256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c05d3d419bb90b252a6850b5861b839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d8997b3f345bfc05556015adffd72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f868986895a1318bb65db1a2507648ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a75c6e2b2f2a1d77dd4048a6b80ee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0672202d742a897b1bc0920284e17c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb112e512d5a887410d86b7feace594.png)
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2023-10-23更新
|
325次组卷
|
2卷引用:福建省厦门市同安第一中学2023-2024学年高一上学期期中数学试题
名校
解题方法
10 . 已知函数
及其导函数
的定义域均为
,对任意的
,恒有
,则下列说法正确的个数是( )
①
;②
必为奇函数;③
;④若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bde53de43dda74249725823c0e6610.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18bddeba4140aadeb9a091f33d61ef2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b6c58f9bcbbcf99ba037e3bd4497a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6120cc332148cad766255556abf3aae4.png)
A.1 | B.2 | C.3 | D.4 |
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