名校
解题方法
1 . 已知函数,若对任意
都有
,则实数a的取值范围是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知定义在上的函数,
满足
,
且
,
,则
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名校
解题方法
3 . 已知函数,
定义域为
,且
,
,
,则下列结论正确的是( )
①若,则
;②若
,则
A.② | B.① | C.①② | D.都不对 |
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解题方法
4 . 已知定义域为
的函数
满足
,
,且当
时,
恒成立,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/862c700233ca17ff8effa813031a0f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7420065dcf94a824f49ee0cf528c023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
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解题方法
5 . 已知函数
的定义域为
,且
,
为偶函数,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/737db4285301845d4e467846f0e2f066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/609dae9100fb3455fe6af214af89ff5d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-27更新
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1460次组卷
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2卷引用:河南省郑州市2024届高三第二次质量预测数学试题
2024·新疆·二模
6 . 已知
是定义域为
的函数,满足
,当
时,
,则下列说法正确的是( )
![](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/c8f185f6ba24b2df00ff7af33a1ed59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966d9dd819cba29980da3700422c2497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2b53cd9892f6d174509740afbc69d6.png)
A.![]() |
B.![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() ![]() |
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解题方法
7 . 已知函数
,
满足
,
,若
恰有
个零点,则这
个零点之和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e391da67aeff00476f5670330288137b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1846952f7a73eb0b35fc382d7eefce9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455328f90101e1712eaaacf15290cad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65cdae269dd62dbfecdd922eb5a53e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfdfe87b8459e889ee919645935d42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2def5aa62f497709e1bd8258583d62fa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-26更新
|
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4卷引用:福建省泉州市2024届高三质量监测(三)数学试题
福建省泉州市2024届高三质量监测(三)数学试题(已下线)专题1 巧用性质 对称求和【练】陕西省西安中学2024届高三模拟考试(七)数学(理科)试题(已下线)压轴题01集合新定义、函数与导数13题型汇总-2
解题方法
8 . 已知函数
的定义域均为
是奇函数,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead6046de21fbf658c7734d45cd76d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba05a18bead4c2ca2b469e8bacccf4c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab1005ad03c4c91d7ea79771a503f3a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知集合
,其中
都是
的子集且互不相同,记
的元素个数,
的元素个数
.
(1)若
,直接写出所有满足条件的集合
;
(2)若
,且对任意
,都有
,求
的最大值;
(3)若
且对任意
,都有
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13757649d1059dabada7fbafde58e6f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96fa7b00ef7b8cf8e5a42aeb29f5154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf783a679243d115e602912050e47ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775adbe6736b3ec038d45a4f209ac290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f71a52871eb36b27836d6b9d72029ac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144e563700d35bb31aa51bab681f3118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd42fc2af57877e06f485b50ae4d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19eee6183061532e744ef9086ffcb8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a245761c2403d38b654894e0c78cec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd42fc2af57877e06f485b50ae4d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27d4e5e05097560b51f888f8b234bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-03-23更新
|
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4卷引用:北京市北师大附属实验中学2024届高三下学期3月零模数学试题
名校
10 . 定义在R上的函数
(
且
,
),若存在实数m使得不等式
恒成立,则下列叙述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9341bd9958535279f181fb53825319dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e9ffd9895bf0d66432542997619961.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2024-03-22更新
|
362次组卷
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3卷引用:河南省五市2024届高三第一次联考数学试题