名校
1 . 已知函数
,用
表示
的最小值,记为
,那么
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e98143dfebcb5ec295d0f22cf06c5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cb2dd023553e6609c47202fe30c479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcdb6324cb5a759301daddf9768c0.png)
您最近一年使用:0次
2024-03-06更新
|
122次组卷
|
2卷引用:北京市平谷区2023-2024学年高一上学期期末教学质量检测数学试题
解题方法
2 . 已知函数
如图所示.
(1)求
的解析式;
(2)求
的最大值:
(3)将
的图象向右平移2个单位长度后得到函数
的图象,直接写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/043acf15-5fbf-4dcc-a1e3-c246f146baed.png?resizew=123)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843bdbecf4954d8015ed7d60bac0093e.png)
您最近一年使用:0次
3 . 已知函数
为坐标原点,若对于
图象上的任意一点
,将线段
绕着
点逆时针方向旋转
后,点
落在
的图象上,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9cd2717e72db0f434f5b9c6589c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
4 . 已知集合
,若
中元素的个数为
,且存在
,使得
,则称
是
的
子集.
(1)若
,写出
的所有
子集;
(2)若
为
的
子集,且对任意的
,存在
,使得
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946ca6ef235e10f31fe03cc2737dfcc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1071ac8657ef1c4e1ea7e0530196298d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/496549fb22714bf0d5719538c7a52cd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477caa6a1198bc26f4199e75aadf445f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12af2f56950da618a53de06aaf0eee4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c414a10d73f453fc1109e5b2243d2369.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f12af2f56950da618a53de06aaf0eee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09219fd705c1aa88b3453e1d4d7ccc67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1484a3c8a21bcd584d5ac2cd1e8bb7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbae3b57b2ba8226b77919686f5886c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
5 . 设
,函数
,当
时,
的值域是______ ;若
恰有一个零点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f306d2b261f4c39a9fc0858d96e647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93955c5a47d255c0990f336a5fc2779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.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/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
6 . 在早高峰,某路口通过的车辆
与时间
的关系近似地符合
,在早高峰这段时间内.给出下列四个结论:
①通过该路口的车辆数
随着时间
逐渐增多;
②早上6时和早上7时通过该路口的车辆数
相等;
③在任意时刻,通过路口的车辆
不会超过35辆;
④在任意时刻,通过路口的车辆
不会低于14辆.
依据上述关系式,其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf323edf67acb35133a93bc6f8e96433.png)
①通过该路口的车辆数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
②早上6时和早上7时通过该路口的车辆数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
③在任意时刻,通过路口的车辆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
④在任意时刻,通过路口的车辆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
依据上述关系式,其中所有正确结论的序号是
您最近一年使用:0次
解题方法
7 . 已知函数的图像过原点,且
.
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda37761b59f8d1d63ebf43525b0f59d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a20457d180264f78d611dc7893d735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36f7ab55b63c08280a41fb64366b819.png)
您最近一年使用:0次
解题方法
8 . 函数的定义域为
.则其值域为( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 计算:
您最近一年使用:0次
2024-01-23更新
|
230次组卷
|
2卷引用:北京市北师大附中平谷第一分校2023-2024学年高一下学期2月开学测试数学试题
名校
10 . 近年来,密云区生物多样性保护成效显著,四百多种野生鸟类在密云繁衍生息,近万候鸟变留鸟,鸟类科学家发现,两岁燕子的飞行速度
可以表示为耗氧量
的函数
.若两岁燕子耗氧量达到40个单位时,其飞行速度为
,则两岁燕子飞行速度为
时,其耗氧量达到( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/518a773e7cde5540b89984e08cc5f996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785bb089dfef418d777ab042f56cbf5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a034a07a5f8591efef42c1524d8f7b.png)
A.80个单位 | B.120个单位 | C.160个单位 | D.320个单位 |
您最近一年使用:0次
2024-01-22更新
|
180次组卷
|
2卷引用:北京市北师大附中平谷第一分校2023-2024学年高一下学期2月开学测试数学试题