解题方法
1 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302cd6e850c45a8917edb18140d37f6e.png)
(1)当
时.解不等式
;
(2)记
表示实数
中的较大者.任意的
,是否有
恒成立?若是,请证明:否则,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb92bdb11a3d3f436891b4343b4d1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302cd6e850c45a8917edb18140d37f6e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558e11d700481dc414d5d073b4b88a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfe74dd3d0e67b768c83c41be7ab155.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03049a2f3be286f52c971144a37781c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb6bf23a5a12e1ba5413594d7b1a57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee66828ed2d01defc1008d146d54728.png)
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2023·江西·二模
解题方法
2 . 实数
,
,满足:
,则
的范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c389188c9bc6c1229c6dc003839ea3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 已知a,b,
,函数
,
,
对任意的
,
,
,
两两相乘都不小于0,且
,则一定有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0097ca400d4619a94c4282c1ef6ec68e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f835f37ba96ad1ebd8d74d071f0065fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493db98b5e52328db4dd952e589b3cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bcdc7425f779df912815a21443ada1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257cacdeb4aa5102c5bb2b33a71fae0f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-11-13更新
|
456次组卷
|
4卷引用:浙江省浙南名校联盟2022-2023学年高一上学期期中联考数学试题
浙江省浙南名校联盟2022-2023学年高一上学期期中联考数学试题(已下线)期末考试押题卷二(考试范围:必修第一册全部)-2022-2023学年高一数学新教材同步配套教学讲义(苏教版2019必修第一册)福建省南安第一中学2022-2023学年高一上学期第二阶段教学质量检测数学试题(已下线)第四章 幂函数、指数函数与对数函数(压轴题专练)-速记·巧练(沪教版2020必修第一册)
名校
解题方法
4 . 已知实数
且
.定义区间
的长度均为
.若实数
且
.则满足不等式
的
构成的区间的长度之和为______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaaad3c286c0df8e7164e3163b77eae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf7adcc976209d4b686156120bea276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11dcb5d4c883aa779f8df128e375dde6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d9560a5a060961e957ffeff10a29aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7569cd7e9b31ad838230133b9bc8314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa4b45ca1046c020357d3e95cb6a16e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
5 . (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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名校
6 . 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)
您最近一年使用:0次
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
7 . 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
8 . 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
9 . 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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10 . 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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