名校
1 . 已知函数
满足
,有
.
(1)求
的解析式;
(2)若
,函数
,且
,
,使
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7ca79164d6a6e6834425f428c2bb29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8befb6ffb9a4d955482b94ad9c7154f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4dfad781aa9407473ea3c0980e6905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab438a14d6afa5d8b4472f71d562bdd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc9bbe373e92375f4aba21b828c9439.png)
您最近一年使用:0次
2024-03-01更新
|
274次组卷
|
2卷引用:山西省运城市康杰中学2023-2024学年高一下学期开学考试数学试题
名校
2 . 已知函数
.
(1)若函数
的值域为
.求
的取值范围;
(2)已知函数
在
上单调递增,若
是关于
的方程
的两个不同的解,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6263576e5c3f2324a8dac311476bf9.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdecbee76b2ec56a0653e4ce3e83bd15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e198ef67402f9ce2d44a106f4ef5481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdcb20fdc8bab941d857045172f20a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3da00fe1feafb42d7e2254dd5f8589.png)
您最近一年使用:0次
2023-02-18更新
|
120次组卷
|
2卷引用:山西省忻州市河曲县中学校2022-2023学年高一下学期开学考试数学试题
名校
解题方法
3 . 若函数
和
的图象均连续不断.
和
均在任意的区间上不恒为
的定义域为
的定义域为
,存在非空区间
,满足
,则称区间A为
和
的“
区间”.
(1)写出
和
在
上的一个
区间”(无需证明);
(2)若
是
和
的“
区间”,求
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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80f04f48040becbe5c906fc0f7eba4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dba8b8c37d039197ec051e732da5bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1a0fd1ad044a9ecfcba672779bd678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd4adaf169a82c0ec20b1d71eea8b95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5017cde801c0d0914137e02e61272786.png)
![](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/0047f659c182291c84c224df6b5e993f.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6263576e5c3f2324a8dac311476bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375c0821fd7bf942481fbc75ddd4c1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306bfbc7ac378f6a0c2d6adab6a4aa6c.png)
![](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/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-02-18更新
|
149次组卷
|
4卷引用:山西省忻州市河曲县中学校2022-2023学年高一下学期开学考试数学试题
山西省忻州市河曲县中学校2022-2023学年高一下学期开学考试数学试题山西省忻州市2022-2023学年高一下学期开学考试数学试题湖南省衡阳市衡阳县第二中学2023-2024学年高一上学期期末达标测试数学试题(A卷)(已下线)高一数学开学摸底考02-新高考地区开学摸底考试卷
名校
解题方法
4 . 已知函数
的定义域为
,其中
为实数.
(Ⅰ)求
的取值范围;
(Ⅱ)当
时,是否存在实数
满足对任意
,都存在
,使得
成立?若存在,求实数
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c22008acfa391c7b0f7f0cb593c65667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a3163cc2d37e7b7fe450f6e8bf8500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a3de2dbd396b0b8d1929eb9b634d5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-01-30更新
|
1259次组卷
|
5卷引用:山西省晋城市(高平一中、阳城一中、高平实验中学)2020-2021学年高一下学期开学考试数学试题
名校
5 . 已知函数
.
(1)当
时,求该函数的最大值;
(2)是否存在实数
,使得该函数在闭区间
上的最大值为
?若存在,求出对应
的值;若不存在,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b8933101840f2f4bc6bab038d7c167.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-02-19更新
|
598次组卷
|
2卷引用:山西省忻州市第一中学2019-2020学年高一下学期开学考试数学试题
名校
6 . 如图,抛物线
与
轴交于
两点,直线
与
轴交于点
,与
轴交于点
.点
是
轴上方的抛物线上一动点,过点
作
轴于点
,交直线
于点
.设点
的横坐标为
.
(1)求抛物线的解析式;
(2)若
,求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d57685638cf035647ac03705ebe3e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b098e17fa76c648424e9cadf558cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b1da9046b4cb82135a4a1eaa528c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)求抛物线的解析式;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052bc3cf1fec1220941c4db7c7ac1db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若点是点
关于直线
的对称点、是否存在点
,使点
落在
轴上?若存在,请直接写出相应的点
的坐标;若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2016/10/26/1573097030287360/1573097036431360/STEM/cef2f877f60b43f19a6ba30ee0504d65.png?resizew=177)
您最近一年使用:0次
2016-12-04更新
|
242次组卷
|
2卷引用:2016-2017学年山西忻州一中高一上学期新生摸底数学试卷