名校
解题方法
1 . 已知
,设函数
,若存在
,使得
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e34d5fafc69023b9fab8a7bc6f4d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b012136b0cf401a28b44da099fc87a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7卷引用:第三章 第二节 导数与函数的单调性 (讲-提升版)
(已下线)第三章 第二节 导数与函数的单调性 (讲-提升版)(已下线)第三章 第二节 导数与函数的单调性(讲-基础版)河南省部分重点高中(金科未来)2023-2024学年高二下学期5月大联考数学试题河南省名校2023-2024学年高二下学期5月质量检测数学试题河南省部分重点高中2023-2024学年高二下学期5月质量检测数学试题(已下线)【江苏专用】高二下学期期末模拟测试B卷山西省临汾市部分学校2023-2024学年高二下学期5月质量检测数学试题
名校
解题方法
2 . 已知函数
(
不恒为零),其中
为
的导函数,对于任意的
,满足
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4a94febde71b5356cad841ce643050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a3f401ac96b0b3df47f6df568bc483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d809ef17bdbddcf14a7d220a5cd568.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 设函数
的定义域为D,对于区间
,当且仅当函数
满足以下①②两个性质中的任意一个时,则称区间
是
的一个“美好区间”.
性质①:对于任意
,都有
;性质②:对于任意
,都有
.
(1)已知
,
.分别判断区间
和区间
是否为函数
的“美好区间”,并说明理由;
(2)已知
且
,若区间
是函数
的一个“美好区间”,求实数
的取值范围;
(3)已知函数
的定义域为
,其图像是一条连续不断的曲线,且对于任意
,都有
.求证:函数
存在“美好区间”,且存在
,使得
不属于函数
的任意一个“美好区间”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b7f3c56708bc693a0ce74643be38cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
性质①:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b359345c5afa1739bf5ebf8982e1d959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8198025cc2e6afede12c13375b71e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b359345c5afa1739bf5ebf8982e1d959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab98f168e7e388981a83c792bef034de.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4078f129da5a6cb569345de01c4d019c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2cc4cd1e8bcb4b75b6e799156736e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9099a75c433e97bbe05052a00110571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bed897a25d7f5d6d4693e3076023745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257b5cac000fa7c846215d986d6aa90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a173c108f4d3a4e8b641724d966d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070054c0b4182ab7399ed56925844e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
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7日内更新
|
144次组卷
|
3卷引用:上海市 位育中学2023-2024学年高三下学期三模数学试题
4 . 定义二元函数
,同时满足:①
;②
;③
三个条件.
(1)求
的值;
(2)求
的解析式;
(3)若
.比较
与0的大小关系,并说明理由.
附:参考公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1234f123ff32cf38037649c3ff329d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a4141252d1d5410adc4da9a3e631b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ffece531ce82696c0920238efdeb113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/430d72f73ef24e73a937893c26c5c854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f095fc2b6b7eb7ecdbff0a1e78dcf9b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee684bc0ac2a74bd0fb714e94245070f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad1be9af99aa2fb00f2de6a215cf1ad.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3264fcf8cfd754947a33aff79ea9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
附:参考公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1234f123ff32cf38037649c3ff329d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b320170303e3310f9c8bb29e17d716.png)
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解题方法
5 . 已知函数
若
,且
,则下列关系式一定成立的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353372712f9b302d01c9eff8edb1d335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71152396d26b0c146e6a3c042bbdae9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
6 . 已知函数
具有以下的性质:对于任意实数
和
,都有
,则以下选项中,不可能是
值的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.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/9e2469a3ff9552ad17fa8cf8b54b6d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
A.![]() | B.![]() | C.0 | D.1 |
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名校
解题方法
7 . 已知函数
定义域为
,且
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b345aed46b3708d8ec74e54326326aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58bdb1299804cdfde51224a32de95405.png)
A.![]() |
B.![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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真题
8 . 已知函数
的定义域为R,
,且当
时
,则下列结论中一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca4aebc14ae7a2fa0ec3cc2881be9f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b83a660527359758db64e6566466293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
9 . 把满足任意
总有
的函数称为和弦型函数.
(1)已知
为和弦型函数且
,求
的值;
(2)在(1)的条件下,定义数列:
,求
的值;
(3)若
为和弦型函数且对任意非零实数
,总有
.设有理数
满足
,判断
与
的大小关系,并给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4e857897b5a9f64308cf5906b9fa13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc2d1d213b8c962e739d7a70d329e36.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79517322d3a40f2bd83c1f4857eb5d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732de73b498406d00195863a58dd3a24.png)
(2)在(1)的条件下,定义数列:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8754b211788bae54574c7015e84d3ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad22914993941de58212102ebd2eeae.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89379f1012f030cb02e37ba27315842f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e17d40cc0988f2a71b96819cdeee72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d65ffdad008a79f32dc1f7511a82a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12c44a3c63a15882674e37dcdc31399.png)
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名校
解题方法
10 . 已知函数
的值域是
,若
,则m的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0f1d2939633cba651b3646083f14e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f723e73e6e321c4a64e0f32f5a17fe.png)
您最近一年使用:0次