名校
解题方法
1 . 已知函数
及其导函数
的定义域均为
,记
.若
与
均为偶函数,且
,则下列选项正确的是( )
![](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/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d6fa911e3396b34fb470c10b063fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1aa50ff3aa2aa872bc41acaab8787b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb1755255a99ef00869962bb8e745ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7326ef4ba9ace3e76f3c17370a2d8e.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
7日内更新
|
749次组卷
|
4卷引用:河南省驻马店市新蔡县第一高级中学2023-2024学年高二下学期6月月考数学试题
河南省驻马店市新蔡县第一高级中学2023-2024学年高二下学期6月月考数学试题黑龙江省哈尔滨市第六中学校2024届(2021级)高三下学期四模数学试题 (已下线)模型5 函数性质的综合运用模型(已下线)第13题 原函数与导函数的图像、性质联系问题(高二期末每日一题)
名校
解题方法
2 . 已知定义在
上的函数
满足
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6d2a0bceea4d332cbff537430c5848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a87d0288bb21fbffcb60d2bf6695a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc4a027a16191a0ef6a5267a4fcff7e.png)
A.函数![]() | B.![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
名校
3 . 已知函数
,则下列有关该函数叙述正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beae01e9e98359fce02acff8a55902da.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
名校
4 . 已知
是定义在
上的偶函数,当
,且
时,
恒成立,
,则满足
的
的取值范围为______ .
![](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/d4fdd7c4c8313a9f9df525a4a3e46d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c28967904a688343761d856a8c29d55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93acdd1905e7b9374f0644820fb3fd71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819db5ade82b0659c2f6c1f33dc68384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
5 . 函数
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d532b8d4c5def4e646d8415839b6b4.png)
A.最小正周期为![]() | B.最小正周期为![]() |
C.最小正周期为![]() | D.最小正周期为![]() |
您最近一年使用:0次
名校
解题方法
6 . 已知奇函数
在
处取得极大值2.
(1)求
的解析式;
(2)若
,使得
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb885b96ddbf9889de11e3339ca7704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15081beffb280af25c9d02bfe81da500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5d2bb58cebec830910c14fe0e794be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7日内更新
|
769次组卷
|
3卷引用:黑龙江省哈尔滨市双城区兆麟中学2023-2024学年高二下学期第二次月考(6月)数学试题
黑龙江省哈尔滨市双城区兆麟中学2023-2024学年高二下学期第二次月考(6月)数学试题黑龙江省哈尔滨市第六中学2023-2024学年高二下学期期中考试数学试卷(已下线)专题09 导数与零点、不等式综合常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
解题方法
7 . 已知函数
的定义域为R,
为奇函数,
为偶函数,且当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/513ff8ad9159e187874ab5c1e2322872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd05a11b448c80647d43b665ee319048.png)
A.![]() | B.![]() ![]() |
C.当![]() ![]() | D.方程![]() ![]() ![]() |
您最近一年使用:0次
解题方法
8 . 已知函数
的定义域为
不恒为零,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0ef3d1ff1589da0cb326c4debc274f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bde53de43dda74249725823c0e6610.png)
A.![]() | B.![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知函数
,
满足以下条件:
①
,
;
②
,
,
,
.
(1)求
,
的值.
(2)判断函数
,
的奇偶性,并说明理由.
(3)若
,
,试判断函数
的周期性,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306984f0895ba32a7b3bb607065b1eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83e9f562c10762097469dea27c1e109.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50ac027c6ebce491ae836524d89901c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ebeb1c1f2826da8a2e0761f2d2ba87d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98eb23b8c96a34dd720e00669aa8ed2b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a078165d75cfb890141845324a6173b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60cf12a81b11e33356fe7e1c9e3d0b9.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfaff6cfe1d15bd64c1fa76af5e52831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158fbbd2cbedeb9a6fa1a900630369f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
您最近一年使用:0次
名校
10 . 写出一个同时满足下列三个条件的函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81b823d0f2cf80f1aee1ff5a6f6a120.png)
______ .
①
,
;②
,
恒成立.③函数
为偶函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81b823d0f2cf80f1aee1ff5a6f6a120.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e298fe246eef819dd9b1edabe3bb9cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e06bd072d0e7b6896d36b1c59ba797b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次