名校
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2fba30396c2d5cdd37433f34a70ef20.png)
(1)若函数
为偶函数,求
的值;
(2)当
时,(ⅰ)函数
,(ⅱ)若关于x的方程
有两个不同的实根
且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2fba30396c2d5cdd37433f34a70ef20.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d41244547838992c51263681a0ed2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8b79cbafa3dd8602fa3a103b5000d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4b360499547299003d8f5617f6c0ee.png)
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2 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21abf310aedeb68b86c4f0ebb321519.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7a4449811c2b9458f7f55193e58310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21abf310aedeb68b86c4f0ebb321519.png)
您最近一年使用:0次
名校
解题方法
3 . 设定义在
上的函数
的导函数分别为
,若
且
为偶函数,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a290d6204cec463ca2083cc899787fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f94ea11d872cd15555e7c32c3a0e8663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc70c16151048d64bcb8e1e9b51e7d81.png)
A.![]() | B.![]() |
C.![]() ![]() | D.函数![]() |
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2024-03-06更新
|
743次组卷
|
5卷引用:浙江省杭州学军中学紫金港校区2023-2024学年高二上学期期末数学试题
浙江省杭州学军中学紫金港校区2023-2024学年高二上学期期末数学试题(已下线)高二下学期第一次月考模拟卷(新题型)(导数+计数原理)-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019)吉林省长春外国语学校2023-2024学年高二下学期4月月考数学试卷(已下线)新高考预测卷(2024新试卷结构)(已下线)模块4 二模重组卷 第2套 复盘卷
名校
4 . 设函数
的图象既关于点
对称,又关于直线
轴对称.当
时,
,则
的值为 _____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1a686b80b8f109a929f58c2de7201d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f52f6ee8ead43c46f73102b87a2d943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f6e8a6babe530345078c1be04bd8bb7.png)
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解题方法
5 . 已知函数
和
的定义域分别为
和
,若对任意
,恰好存在
个不同的实数
,使得
(其中
),则称
为
的“
重覆盖函数”.
(1)判断
是否为
的“n重覆盖函数”,如果是,求出
的值;如果不是,说明理由.
(2)若
,为
,的“2重覆盖函数”,求实数
的取值范围;
(3)函数
表示不超过
的最大整数,如
.若
为
的“
重覆盖函数”请直接写出正实数
的取值范围(无需解答过程).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296e45b84cf67a98939aa7334e7d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3eddf991be37d25d033f78bd3511809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d5df7922a4e98e8e07bf418dd48a7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe44a5aed663a9b61ef7355b38c77d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d1a18f254577a0ce74ceb27364b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17efb86d82b9ddf50af4c23632a05c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e60e9c1e65686f8cd28a28abb8282c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f246e5b05b68bb9fdeb12a319aa7136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa88c20e58953bba4ed04d3ce419df95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)函数
![](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/240ca781ffd5d55cc9b7dd551879ce65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4987dca9120f6a58139fd3e412ed77c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a899e901b141a0a6d56e3387ecf9f047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e946baf1316ac1f219398ecedadf6cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-06更新
|
248次组卷
|
3卷引用:浙江省临平萧山联考2023-2024学年高二上学期期末数学试题
名校
6 . 设定义在R上的可导函数
和
满足
,
,
为奇函数,且
. 则下列选项中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a024eb03d7ffb3b510d1a131af3576bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8234c7ea70bdc98b92dee03cd5cb67a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc2b7be871fef904c94ef6360ee32bb.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() |
您最近一年使用:0次
2024-02-04更新
|
1405次组卷
|
6卷引用: 浙江省绍兴市第一中学2023-2024学年高二上学期期末考试数学试卷
7 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1210030f422a5edb7911642d7051371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70da7636aad2e4cd99c54c142f9acb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0918fc634336ecceb2c439d7e9fd6ff1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知函数
满足
,函数
,其中
.
(1)求
的值域(用
表示);
(2)求
的取值范围;
(3)若存在实数
,使得
有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9c81b93692b2eb405e591608198046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcf4c477b42a29b83b054a538e4fa31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcdb02baba30f6db632c0dd43c2ad40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91413c558d7a35bab90e33241c0d9885.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(3)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9928c2282021a50b11656dd05b8255f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
9 . 定义在
上的函数
满足
,且当
时,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be726c45ce36ead8fce2e663e7a1b598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b39bbfd4894f4d2ca18473a3e42f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ee7abd882ba99660bca68ebf544cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13608d4e0ea7dc70bf4a5c56af030a38.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad2b201a2d7a1747c8c66cc351b2815.png)
A.若函数![]() ![]() ![]() |
B.关于![]() ![]() |
C.对于实数![]() ![]() |
D.当![]() ![]() ![]() |
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