名校
解题方法
1 . 已知定义在R上的函数
满足
,
,当
时,
,函数
,则下列结论错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34e9794d31b207750914222a39d9036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ea832b11f5a84b9bf3020271480631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c219c206a846f555cbc7375456e260d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c64431ecb3d90d53068b8b0e64b4179.png)
A.![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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名校
解题方法
2 . 已知偶函数
满足
,且在区间
上是减函数,则
,
,
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a294ac176a455e749d73aedb6eb7f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9347bb4ffedcbea2f4c16d047a138d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b52d15c2861aa75bef614dc338fba7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713df5bb4da43b175f6aab2b9753bb79.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
3 . 定义域为
的函数
,对任意
,且
不恒为0,则下列说法错误的是( )
![](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/937caaff17738b519902a2f3c77b7bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() | D.若![]() ![]() |
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名校
解题方法
4 . 设函数
的定义域为
为奇函数,
为偶函数,若
1,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d5e91e046545ab60feadb6b61995749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f40580ab9e8d20b6e08f61aacf883bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846b382aaa075e3fd04096840438b8d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2796868fcd26d2a8558666fe46494541.png)
A.1 | B.![]() | C.0 | D.![]() |
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7日内更新
|
1264次组卷
|
5卷引用:辽宁省沈阳市第二中学2024届高三下学期三模数学试题
(已下线)辽宁省沈阳市第二中学2024届高三下学期三模数学试题河南省部分重点高中2023-2024学年高三下学期5月联考数学试卷 (新高考)(已下线)第4题 函数性质的综合应用(高二期末每日一题)2024届青海省海南藏族自治州高考二模数学(理科)试卷内蒙古自治区锡林郭勒盟2024届高三下学期5月模拟考试理科数学试题
名校
解题方法
5 . 已知定义在
上的函数
满足
,且
,若
,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/df1ba677dc12c5304da89bc2e95dd4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ca2e66c203f9aab0b30cf06e72d7db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23437d77a112dc274b70dd0295bf723.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-11更新
|
664次组卷
|
3卷引用:辽宁省葫芦岛市协作校2023-2024学年高三下学期第一次考试数学试卷
名校
解题方法
6 . 已知定义域为R的函数
满足:
,
,且
,则下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88f7b54e9a6fd1bfe72c30d2964c7de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7fa4321e39ec6744d791a0d2d2e1a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b055c2e5c0a96771f7466e015a113021.png)
A.![]() | B.![]() |
C.若![]() ![]() | D.![]() |
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2024-06-05更新
|
438次组卷
|
2卷引用:辽宁省辽阳市辽阳县辽阳石油化纤公司高级中学2024届高三下学期模拟考试数学试题
名校
解题方法
7 . 已知函数
的定义域为R,且
,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fdede7dca20eedaff5edff96b3dda8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知
是定义在
上的函数,且
为偶函数,
是奇函数,当
时,
,则
等于( )
![](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/18377150b1ced455e66c9054f7305379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee798afc6ca1bbee1f324fc7e0abafd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d900b106c2b44b211c60b0ba9c2cf6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d457a7eb2c2c92e7b017b986d3c193f1.png)
A.![]() | B.![]() | C.![]() | D.1 |
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9 . 定义域为R的函数
满足
,且函数
的图象关于直线
对称,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d29d67ba974c7f766e951f4f4fc303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cc0a8a4c80f6e1e5bab782894cfe0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
A.![]() ![]() | B.![]() |
C.![]() | D.若![]() ![]() |
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名校
10 . 若函数
满足
且
,则称函数
为“
函数”.
(1)试判断
是否为“
函数”,并说明理由;
(2)函数
为“
函数”,且当
时,
,求
的解析式,并写出在
上的单调递增区间;
(3)在(2)的条件下,当
时,关于
的方程
(
为常数)有解,记该方程所有解的和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5951250a024e9fc4348f38bda71aee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040beadd2a814771bbaedf098e98693d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/349d16343a902c0b7f2ef8f71287a7b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f1e8ffaa5cefb6b01b88ad42d4796b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56158cf62fb4fae6cc62a0c7ee460659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14cca0ac4b6a9d79ef6be5cf3c1f7d6d.png)
(3)在(2)的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f40769fb6e2e3b1c29147b26406213.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da3023b0765cfb1b268e29e1d01de0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61048c8064abc1f6710894fc3ddf5668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4a28b19fffa6beef3ace8b00ffc8e2.png)
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