名校
解题方法
1 . 已知函数
.
(1)证明:
的定义域与值域相同.
(2)若
,
,
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fae876092b09e59fba7a55aee637b76.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/796544207152c2e3ab7b9a82c750c48a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948a984f88914c7143a1d8e35f0d974b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253613b33837c169202b1e6c5c706b56.png)
您最近一年使用:0次
2024-05-08更新
|
519次组卷
|
3卷引用:甘肃省白银市2023-2024学年高一下学期5月阶段性检测数学试题
名校
2 . 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)试判断
是否为
的“2重覆盖函数”?请说明理由;
(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“2024重覆盖函数”,求正实数
的取值范围.
![](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/ad4cc356abee7ec3437ea301dbfbb6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234c48b3478c6912aa97d8e20ca82188.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)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d09a854c282bb3a196a91eb25ca01e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/885f35f354492e6c09f1a91d45d3221c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b66d7174f5f4ccee109340d93e5311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1261e4befbd80b30fdf656321b8537e.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/3d82bab9f2808b11904d680eae089356.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/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
为定义在
上的偶函数,且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2519cb5066023438c6b2f23f197f366c.png)
在
上的图象;
②若方程
恰有6个不相等的实根,求实数
的取值范围;
(2)对于两个定义域相同的函数
和
,若
,则称函数
是由“基函数
和
”生成的.已知
是由“基函数
和
”生成的,若
,使得
成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2519cb5066023438c6b2f23f197f366c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f216eab905e2470a08d95f56b465351d.png)
②若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)对于两个定义域相同的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1803511584bb172d9445a4c49ab6fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49794721f5504dd828acf49be37ff42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcabe2fbcaf9a95bc892d4ee048bcee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1803511584bb172d9445a4c49ab6fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49794721f5504dd828acf49be37ff42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd4c1073c99cd02242ebcf0f4b9939b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41a45b6b81807f3e168f34699df1399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab8365588fd69302507063e903215d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d2b557b1aeae935a866ef3f35de4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
(
且
)是指数函数.
(1)求关于x的不等式
的解集;
(2)函数
在区间
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/443f79de69ddf3a3e9871366804aadd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af3805f722964d881a001cc5936b5fb.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4b026104086da528964fa6c9d56ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a43ded43fac49796bcc2142670802c.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
在
上有定义,且
关于
中心对称,若
.
(1)求实数
的值;
(2)若存在
,使
的值域为
,求实数
的取值范围.
![](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/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b2e488f33092e14716501713117190.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a56806c9bf7927769af420fdabe96cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53a5d5b17d000fcbfe313760d2844fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
6 . 设非空数集M,对于M中的任意两个元素,如果满足:①两个元素之和属于M ②两个元素之差属于M.③两个元素之积属于M ④两个元素之商(分母不为零)也属于M.定义:满足条件①②③的数集M为数环(即数环对于加、减、乘运算封闭);满足④的数环M为数域(即数域对于加、减、乘、除运算封闭).
(1)判断自然数集N、整数集Z、有理数集Q、实数集R、复数集C是不是数环,假如该集合是数环,那么它是不是数域(无需说明理由);
(2)若M是一个数环,证明:
;若S是一个数域,证明:
;
(3)设
,证明A是数域.
(1)判断自然数集N、整数集Z、有理数集Q、实数集R、复数集C是不是数环,假如该集合是数环,那么它是不是数域(无需说明理由);
(2)若M是一个数环,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca05074e5a317ae45d073962bdf74dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81b48f8ebf391353fdd01dbf0670df8.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad037818426ec563f10cb69ccb4a4a6.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
为奇函数.
(1)求a的值;
(2)若
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd9b82b79fe3ec495b2ef42fa540e16.png)
(1)求a的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882f11308da76f30fbc9da2ceb23e9d9.png)
您最近一年使用:0次
8 . 已知数列
的各项均为正整数,设集合
,
,记
的元素个数为
.
(1)若数列A:1,3,5,7,求集合
,并写出
的值;
(2)若
是递减数列,求证:“
”的充要条件是“
为等差数列”;
(3)已知数列
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f885247785940c5c849210fb6f8abc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4884c506476f191d7919cd266c8c0212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a0c2bb484bf523189b093485eca999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ff5cb5a9d88ed7db2c06683c3e355.png)
(1)若数列A:1,3,5,7,求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ff5cb5a9d88ed7db2c06683c3e355.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3197c615558fee3993d2a8deb9091f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d509697c5391a7c24d9bbc2c82422b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff241fc46c23ac975c5b39e87a9e46a.png)
您最近一年使用:0次
2024-04-19更新
|
333次组卷
|
4卷引用:黑龙江省双鸭山市友谊县高级中学2024届高三下学期高考模拟(一)数学试题
黑龙江省双鸭山市友谊县高级中学2024届高三下学期高考模拟(一)数学试题吉林省长春市长春吉大附中实验学校2023-2024学年高二下学期5月期中考试数学试卷(已下线)2024年北京高考数学真题平行卷(基础)(已下线)集合与常用逻辑用语-综合测试卷B卷
解题方法
9 . 已知函数
.
(1)求
的定义域;
(2)求
的单调区间;
(3)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15ba21898791f76a0d33d937418a7b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed576cb1bbdbf61994a3bf4ce77702f7.png)
您最近一年使用:0次
2024-04-19更新
|
776次组卷
|
2卷引用:内蒙古名校联盟2023-2024学年高一下学期期中联考数学试题
名校
10 . 已知幂函数
为奇函数,且在区间
上是严格减函数.
(1)求函数
的表达式;
(2)对任意实数
,不等式
恒成立,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235c90fcdb60c4ce075e271d86d49c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503a002dd51f5338c4bc0e15fb201c3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a4d73c97d6a042fc1a721fdaa99957b.png)
您最近一年使用:0次
2024-04-15更新
|
863次组卷
|
3卷引用:上海市上海大学附属中学2023-2024学年高一下学期期中考试数学试卷
上海市上海大学附属中学2023-2024学年高一下学期期中考试数学试卷重庆市乌江新高考协作体2024届高考模拟监测(一)数学试题(已下线)专题07 函数解析式中的参变量----运动变化思想的应用(一题多变)