名校
解题方法
1 . 已知定义在
上的偶函数
和奇函数
满足
.
(1)求
的解析式;
(2)若
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bd3d4555a07a93664b8e8a1df194a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b864f16bd99c24313c151b6aeb012e4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce2837a8732f5038a0245b69306d20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae01f0dc0f99d55b632966b3e6d1e83.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
2 . 如图,某中学准备在校园里利用院墙的一段,再砌三面墙,围成一个矩形花园
,已知院墙
长为25米.篱笆长60米(篱笆全部用完),设篱笆的一面
的长为
米.
(1)当
的长为多少米时,矩形花园的面积为400平方米?
(2)若围成的矩形
的面积为
平方米,当
为何值时,
有最大值,最大值是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/20/f1448b82-b31a-469b-8e62-76e57511848a.png?resizew=185)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若围成的矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2023-11-19更新
|
287次组卷
|
3卷引用:福建省厦门市海沧中学2023-2024学年高一上学期期中考试数学试题
解题方法
3 . 设函数
,不等式
的解集为
,若存在
,
成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6d816a0d049a59337193507f07fb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b788993791f235ee6df8ca37d2551a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e3ee1abd077f750fa0932fb31265c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-10-20更新
|
567次组卷
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2卷引用:福建省厦门第一中学集美分校2023-2024学年高一上学期期中考试数学试题
4 . 函数
的定义域为__________ ,值域为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfeca80bcce4758b2dcd13b4e90e12a.png)
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解题方法
5 . 已知函数
的定义域为
,且满足
.
(1)求
的解析式;
(2)求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595a276735b29755c4f18f37ba58ee2d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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名校
解题方法
6 . 已知函数
,
(
).
(1)若对任意
,不等式
恒成立,求
的取值范围;
(2)若对任意
,存在
,使得
,求
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8d15bcdb0c20c9abee93881d68eb47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5eed9d44c489d59d01d52bbba552687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aaada27ba11bcd779d26a63b1f91bb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d5a5e70f64f0933ae1e4ddec5fa2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a9ab06b4fb0a1ec1ca4858e587790bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . 已知函数
,若
,且
,设
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe2df5552d110d027c41e819c729447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eae51f0310b87cde2e206643e9d25a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f1081e17d76952734b3195474f9d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d4a254c1d4ce01dc17b862dd719bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-10-13更新
|
402次组卷
|
3卷引用:福建省厦门市第十中学2023-2024学年高一上学期12月阶段性检测数学试题
名校
8 . 已知正实数
满足:
,且
,则
的范围是__________ ;
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5848e50805496263d52dcbde9671a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b65379401718e5bd97d2b887f2cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/916bb2cc1b29574ff95b47567c59ee0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 某高二学生在参加物理、历史反向学考中,成绩是否取得
等级相互独立,记
为“该学生取得
等级的学考科目数”,其分布列如下表所示,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a0722562d03a0a55a6c63e5d4cc338.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知函数
存在单调递减区间,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f401f20045a73099bd837f99994415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-07-08更新
|
791次组卷
|
4卷引用:福建省厦门市湖滨中学2024届高三上学期10月月考数学考试题
福建省厦门市湖滨中学2024届高三上学期10月月考数学考试题四川省乐山市2022-2023学年高二下学期期末数学(文)试题四川省乐山市2022-2023学年高二下学期期末数学(理)试题(已下线)模块一 专题3 利用导数求参数范围问题(人教A)