解题方法
1 . 已知.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7679f885826301bb5a826ba7bcea01.png)
(2)对任意实数a,b,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24785d0689c2cd647bc3e93dc28ba34c.png)
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2024-03-26更新
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107次组卷
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2卷引用:内蒙古自治区锡林郭勒盟2023-2024学年高三下学期开学联考理科数学试题
解题方法
2 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)对
,若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512cfb50535ffe74261297ac49c8f188.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(2)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a974bb344103beaa9635e3a79e08d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-12更新
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305次组卷
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5卷引用:内蒙古赤峰第四中桥北学分校2024届高三下学期开学摸底联考数学(理)试题
名校
3 . 已知集合
.
(1)当
时,求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190ab0e4e975e4eadec51753703ed96b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-12更新
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145次组卷
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2卷引用:河南省许平汝名校2023-2024学年高一下学期开学考试数学试题
解题方法
4 . 已知
.
(1)若
,求不等式
的解集;
(2)若对任意
,恒有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a3898613004711be8ace37eb12561d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d425c2c80c96c431a5d4e06928f930.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dafce249be1aeee0581417db4ce841db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92323e0b674647b4f9ba517a93b25fb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f225503971a0a85913655d323577174a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aad368753d68c0b19ad760c458ef1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
6 . 已知函数
.
(1)当
时,解不等式
;
(2)若对任意的
,存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2c26790ee5d275977a7ef2fe844251.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5c1a7acdad9794447abfe58bd9f806.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f9d255ca420fa2486b11fcb7763b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33890c6b0bf167514d44139d9dca0154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44196db1c1f4366ff36bcbcfdecc05fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-09-01更新
|
351次组卷
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3卷引用:内蒙古赤峰市2024届高三上学期开学考试理科数学试题
名校
解题方法
7 . 设函数
.
(1)解不等式
;
(2)令
的最小值为
,正数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2790f3349fae2119070e9a512717aa9e.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155834bf3412ebac9896c0cce9e2cb31.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ccb77ba53e986204cd158abb87bcbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4336688b5b9fb6d91400401756cc45e8.png)
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2024-01-03更新
|
898次组卷
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11卷引用:河南省郑州市宇华实验学校2024届高三下学期开学摸底考试数学试题
名校
8 . 求下列不等式(组)的解集:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5174c421e5832271aa3325ab47ca5287.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115eda24e8c11e7e44fd532080874586.png)
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2023-12-31更新
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名校
9 . 定义在
上的奇函数
满足:当
时,
.
(1)求
的解析式;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5f3de916152237a1fb91626a813ded.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf50f11da639dcb754e254d5fde0d1d.png)
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2023-12-15更新
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4卷引用:云南省保山市腾冲市民族中学2023-2024学年高一下学期开学摸底考试数学试卷(A卷)
名校
解题方法
10 . 已知函数
.
(1)求不等式
的解集;
(2)若不等式
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1debe397918fadd5447d6a972a7f223a.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f512c01a8f247e368fcd762ba97b13.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ff0aab94a54b81303868d60cfc223a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-11-29更新
|
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3卷引用:陕西省榆林市第一中学2024届高三第一次模拟考试数学(文科)试题