1 . 已知函数
,
.
(1)当
时,求不等式
的解集;
(2)若方程
在
时有解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30457637e4f23d80476e04f00fdaf35b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac003a38129cc2f9430361b4359030b8.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
您最近一年使用:0次
解题方法
2 . 已知不等式
的解集为
或
.
(1)求实数
、
的值;
(2)若
,
,
,并且
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3e5b74496fa7094fd333199730b706c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da648ee55d60eb76c56cd747c30d40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5806497d3b5ec15d89eef8202d54d7a0.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66c83c336fe675092f68c192842d635b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b180ffd03aff4efda5c76dbfd5b13aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
3 . 已知关于
的函数
.
(1)当
时,求不等式
的解集;
(2)若
对任意的
恒成立,求实数
的取值范围;
(3)二次函数
在区间
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27145091523fc17def346f0e03fdd35d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b624d88827e92e12bc0a8f1067cbe72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9037e589742d44dea35b511f5462bbac.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9037e589742d44dea35b511f5462bbac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27145091523fc17def346f0e03fdd35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)求不等式
的解集;
(2)若存在实数
,使不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9180691d1fc20f4612aa616b4b1dae5e.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5fd7535c215391f149fb9e47e742df.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47170d3e143615312945dbe012eb36c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-07-13更新
|
212次组卷
|
2卷引用:陕西省渭南市临渭区2022-2023学年高二下学期期末文科数学试题
名校
解题方法
5 . 已知函数
.
(1)求不等式
的解集;
(2)已知函数
且
.若
时,不等式
恒成立,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbd9dd663057ba4d118d316e9a16dbb.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdf51bfac164c9cd38b27cfd6c3c296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de91c2b6db5109664f50994335fa4b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06344c7f101075e877af6e574550c45b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a2c01ac2a7f6ad7e03cb7a61daefab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
6 . 已知集合
,不等式
的解集为集合
.
(1)当
时,求
;
(2)设命题
:
,命题
:
,若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ed4152c5b3498b307a637e4c7eec0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bc241337d7e3929ef499e6a366a5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)设命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.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
7 . 已知函数
.
(1)若
,求不等式
的解集;
(2)已知
,且
在
上恒成立,求
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fc922202baa77221c584d9bf5fe32a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc64c9fc732c76bec3e691d7ddbbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-23更新
|
142次组卷
|
2卷引用:浙江嘉兴市秀水高级中学2023~2024学年高一上学期期中考试数学试题
解题方法
8 . 已知函数
,
.
(1)若函数
的图象经过点
,求不等式
的解集;
(2)若关于
的不等式
对一切实数
都成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aaf8ff792d7d72723a0c06f83b01bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238f0ea276a00ae8d681ce00cc11c8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
,
.
(1)当
时,求不等式
的解集;
(2)若对任意的
,存在
,使不等式
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fa529b4c6e474659e8cffdbd6d98d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a768cc949e4d1ca3effaa7f82b2156.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad94ea3069c0b8a84d69b1a63c4bfe22.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a3163cc2d37e7b7fe450f6e8bf8500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff565afbddafe8625ef376d7eb3fa649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
您最近一年使用:0次
解题方法
10 . 已知函数
是定义在
上的奇函数,当
时,
.
(1)求
;
(2)求不等式
的解集;
(3)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966d9dd819cba29980da3700422c2497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8d996099822eca0f217afbd8e52d61.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4680d1bf143738dd792a84109f07ca47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次