解题方法
1 . (1)解不等式:
的解集
(2)若关于
的不等式
的解集为R,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4948b417b0b1aa099bb2fb8785a3fabf.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a5aa7df29db87272ca90757132a297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2 . 已知实数
,
满足对任意的实数
,不等式
恒成立,则
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f67e4eb752ced56c45f326cd39a40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761a4034330ec48e65d5a627c4184760.png)
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3 . 已知关于
的不等式
的解集为
.
(1)当
时,求集合
;
(2)若
且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095289b99d98cd05e9b373d23d0871b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972592728257d4ed956be1c5f3a097f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73960df7b5e19b38042cc65a5815689a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92dd957781355fa83f32533436d815f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-11-15更新
|
1227次组卷
|
4卷引用:上海市复旦大学附属中学2020-2021学年高一上学期期中数学试题
4 . 定义区间
、
、
、
的长度均为
,已知实数
,则满足
的
构成的区间的长度之和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b807b9b8da58da1b6778865efccb01b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7cba725d9727170383fef1ecb2a9503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b019df3b72d7664a4429b206e69d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153f63689551b4f52a4a29ea639966f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de374592100c57865a606a2d21ece9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa0653197cd4a5e31febc2173404ce2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.4 | D.2 |
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2019-12-03更新
|
535次组卷
|
8卷引用:上海市华东师范大学第二附属中学2018-2019学年高一上学期期中数学试题
(已下线)上海市华东师范大学第二附属中学2018-2019学年高一上学期期中数学试题上海市浦东新区新川中学2020-2021学年高一上学期期中数学试题(已下线)2.2分式不等式的求解(第4课时)(已下线)上海高一上学期期中【压轴42题专练】(1)上海市南洋模范中学2022-2023学年高一上学期10月月考数学试题(已下线)2.2.3 分式不等式的求解(分层练习)-高一数学同步精品课堂(沪教版2020必修第一册)(已下线)第2章 等式与不等式 单元测试-高一数学同步精品课堂(沪教版2020必修第一册)上海市甘泉外国语中学2023-2024学年高一上学期期中数学试题
名校
5 . 解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1a5aaa8c25ba0cdc2a6652636166bd.png)
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2019-10-30更新
|
663次组卷
|
2卷引用:江苏省南京市第一中学2018-2019学年高一上学期10月月考数学试题
名校
6 . 设
对任意
恒成立,其中
、
是整数,则
的取值的集合为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c72cfbd2b796fbc0a1876887b2b6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168163183a3d4663be45755f44676191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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7 . 已知不等式
对任意
恒成立,其中
,
是整数,则
的取值的集合为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1bb45611ddf6eb4602b43154cdc48a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842c2ef9893cc67e621e272fa0be9926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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8 . 定义区间
的长度为
,已知
,则满足
的
构成的区间的长度之和为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed383248a3b9e7beb6bd9cb9b19a63a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc4b6026f32ed282d24f4e4dcf3c34f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa0653197cd4a5e31febc2173404ce2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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9 . 已知
中.
(1)当
时,解不等式
;
(2)已知
时,恒有
,求实数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a73897d9efd8d68967d80d87800733.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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11-12高三·江苏无锡·阶段练习
10 . 已知函数
.
(1)当
时,求
在点
处的切线方程;
(2)当
时,解关于
的不等式
;
(3)求函数
在
上的最小值..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34d77f75a8658ab7b4541447fda68ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e5ff2705eb737adef9a6dc70559d79.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c959ab293ef3ecbba70b635da3e2a8.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7b5582e1931243dbb90b7591137f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
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