名校
解题方法
1 . 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
2 . 设函数
的定义域为
,如果
,
,使得
成立,则称函数
为“
函数”. 给出下列四个函数:①
;②
;③
;④
,则其中“
函数”共有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1902ef70f2b5d826538d9e01809f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babaf7e9f65985b3db2d8bd0175678f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9214539e367939d3f4676758334411d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a3fd04f4b3ba73d29a5d74be19ec38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bd963b750b4223c3dc9e6c60739d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425ad5d1dcba7cc85a711f9774cb75e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
名校
3 . 若函数
(
)和
的图象的对称轴完全重合,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
_________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f187cc0319809fa6d6c72068837b4814.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbad0f2863405a8d653b37ce1411f947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0f51ae5cf685c22673ca0403286c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f187cc0319809fa6d6c72068837b4814.png)
您最近一年使用:0次
名校
4 . 已知函数
.
(1)求
的值;
(2)求函数
的对称中心;
(3)作出
在一个周期内的图象(将给定的表格中填全,并描点画图)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ab39f0922de3e4ad00f86d10591943.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65a3f7b33165d8682c1011811454b91.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![]() | 0 | ||||
![]() | |||||
![]() |
您最近一年使用:0次
5 . 若函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5d283dc56b50356833f994e0ee23fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1756433c66dfecdc923053909302a56d.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2024-04-11更新
|
1154次组卷
|
4卷引用:北京市第九中学2023-2024学年高二下学期期中考试数学试题
解题方法
6 . 已知
是三角形的内角,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e6c9c9e4a7a59fe67e64ccadaaca33.png)
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e6c9c9e4a7a59fe67e64ccadaaca33.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a24a8f5e8fb89381f8add6549170345.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbec5478696a5fdec3f4d95fc93feb6f.png)
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名校
解题方法
7 . 对于函数,满足“
,都有
,
”,且
,则
=
您最近一年使用:0次
名校
8 . 已知函数
.
(1)求
的值;
(2)求函数
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d521ec8cc49f24c9f6a5c1ae961c54e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b87f4ef298bdeebf59a0d850aff72c.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
9 . 已知函数
具有下列性质:
①当
时,都有
;
②在区间
上,
单调递增;
③
是偶函数.
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
________ ;函数
可能的一个解析式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e32125207addc3fdb92ceb0ec80ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9c7ce3315926725a1583323ec15875.png)
②在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
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解题方法
10 . 已知函数在
上是奇函数,当
时,
,则
您最近一年使用:0次
2024-03-21更新
|
826次组卷
|
2卷引用:北京市顺义区2024届高三上学期第一次统练数学试题