1 . 已知函数
,则不等式
的解集为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784dede66861f6f9b24e4e96666a4e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bb0e6b700590a54c2dc58deee2e03f.png)
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解题方法
2 . 下列函数中,是奇函数且单调递减的是 ( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 若存在
满足
,则
的取值范围为_________________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54297d09c19f29d92463d21928998266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6403a84427196d970e757401f972ff57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
4 . 已知函数
是自然对数的底数,记
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713823ed8e751f7a73e5bd665933acfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2aa48ac913611c26d62902af22cb284.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知函数
,记
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b514a8fde9c3b7efa079d8832ceba94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d95036ba48d3da3e4cc28e97d19a99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cb1243fbfdcec06b2dbe1904954cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600eff35c429e012dc6f6732bfc79e3c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-18更新
|
542次组卷
|
3卷引用:江苏省南通市2023-2024学年高一上学期期末质量监测数学试题
江苏省南通市2023-2024学年高一上学期期末质量监测数学试题(已下线)专题03y=Asin(ωx+φ)的综合性质期末8种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)重庆市缙云教育联盟2024届高三下学期第二次诊断性检测数学试题
解题方法
6 . 已知
是定义域为
的奇函数,当
时,
单调递增,且
,则满足不等式
的
的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.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/ff152387cadb0a328cafa4954e5eb61a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/984c0d730cbd5d1a09e4dda6d93ce729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 对任意
,均有
成立,若
,
,
,则a,b,c的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea4fb8166241adca7fccc9579825697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2009d40092d8d8fb785f433930a3a064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667fc8d1ba954011f0af61bd9d29ebda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4a7d885cb342bcc8b9f09f35fc8a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204b6f4c741eea51f9a532a94bcbd0e4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知结论:设函数
的定义域为
,若
对
恒成立,则
的图象关于点
中心对称,反之亦然.特别地,当
时,
的图象关于原点对称,此时
为奇函数.设函数
.
(1)判断
在
上的单调性,并用函数单调性的定义证明;
(2)计算
的值,并根据结论写出函数
的图象的对称中心;
(3)若不等式
对
恒成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ff61557768da49310f1cc7d20eee4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b5f13adaf7994c74552746e321b16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9322dd8f56b5f8d2c667fdf0d4a9f9aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657435e1fda84118e7f63c97505c8b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6035343c7d4d61e621fe948918fcbb4.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc31e288402f140935a0979a78e09954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b3defe5a8be56106834840633e3b28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
9 . 已知函数
的定义域为
,若存在
,满足
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b54839668b67db018b6669128219a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0408b9502dcc197dcf528337ef0b617b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90a9c4f1370f3c8bcbf0ef8a55d2bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b9d4b3187917982df25569dc34154c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知
,
,
,则
,
,
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beff0aabd2bb1fe031b658c55258ece8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3393c08c5632c4efc7c2a4158af2bc87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88cbc710033b3ee4ee4d221704d21824.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/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次