解题方法
1 . 已知函数
是奇函数或偶函数,则
的图象可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9131141a3ffee5cefcd5d708f98698a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 如图,过函数
(
)图象上的两点A,B作
轴的垂线,垂足分别为
,
(
),线段
与函数
(
)的图象交于点
,且
与
轴平行.下列结论正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/10/f0c53d09-69c6-4142-972b-2b64a1aed2eb.png?resizew=191)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75cce9292073265013595ca30ff9716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e4cc00c283519973f7f8e1274b5c733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1931326c08ce58101a792d591528bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b3348685ff34ae7dc85a0a28f2e9f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc3a4aa128b5c656a2ef95ea40cda4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3733980b10c11f79a5b576a6119194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b43ca0e500f7dad835e7b1fa014cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/10/f0c53d09-69c6-4142-972b-2b64a1aed2eb.png?resizew=191)
A.点![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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3 . 已知函数
.(
是自然对数的底数)
(1)若
,
,求不等式
的解集;
(2)若
,证明:对任意
,
成立;
(3)若
,试讨论函数
的零点个数,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d974067fc61270a83b1320af368ba53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797bbd18359c9a29842b39109b3a0aac.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657435e1fda84118e7f63c97505c8b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec7d442dcd50c38bb6966d3822738f8.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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4 . 已知函数
的导数为
,对任意实数
,都有
,且
,则
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ad022e083bb04aa44bb6cac10c0bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/776c94431c8fb6e8bff75c653d73dc44.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 已知定义域为
的奇函数
,当
时,
,若当
时,
的最大值为
,则
的最小值为______ .
![](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/47b86fbc2f3c2266ec5f1ca25d7d4af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6124e81a27de9296a6f25441d74c63b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-01-26更新
|
247次组卷
|
2卷引用:江苏省扬州市2023-2024学年高一上学期1月期末检测数学试题
解题方法
6 . 已知函数
,
,其中
.
(1)判断并证明
的单调性;
(2)①设
,
,求
的取值范围,并把
表示为
的函数
;
②若对任意的
,总存在
使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44974d9d44f337b5901acb0389090234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3952b90cc044546c9315b47dfd460c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac9eb4f13a6ec140f7050e8d7dde52c.png)
(1)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)①设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c9780f88088b5987da463a7b786aea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a68eadbcb9953c6d7fc17ef2763ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0225bca34eaf19544939b29153aac1.png)
②若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fc4b242b118b3ba3a246d337cdc834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72b8620f1ccc3617f6a9e7ab366acb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23cbc24e5f8a7af7cdb12fafb890877a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 若
且满足
,设
,
,则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda318adf65c6b6fd45f651365f52346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264cdeeed28efd3820ecacaf172d1f13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e63ea57c885520a0ec0b94ca4c10058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0617e4d42f5e538489bd30e3dd12cafd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 下列四个函数中,与
有相同单调性和奇偶性的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知函数
的定义域为集合
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68926461f657c4821fb8fc193d6f951f.png)
的值域为
.
(1)当
时,求
;
(2)若
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ceb3f9313a3eb416461d7915aa9168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68926461f657c4821fb8fc193d6f951f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b083d22b48257ef11c79fb6f70a993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
10 . 已知函数
.
(1)若
为定义在
上的偶函数,求实数
的值;
(2)若
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0008762eb8b18082476fc0d3ee6488fb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb1bbd495bb6477a9115925a994996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918acc082757ba098635c89607ff3af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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