名校
1 . 下列函数中,满足对任意的
,
都有
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7493c0fcdc634aa03efb6be277e23769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95d85eb6b07dc97d10074202fb8a1f1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-10更新
|
179次组卷
|
2卷引用:北京市东城区2023-2024学年高一上学期期末统一检测数学试卷
2 . 袋中有5个大小相同的小球,其中3个白球,2个黑球.从袋中随机摸出1个小球,观察颜色后放回,同时放入一个与其颜色大小相同的小球,然后再从袋中随机摸出1个小球,则两次摸到的小球颜色不同的概率为( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 设无穷正数数列
,如果对任意的正整数
,都存在唯一的正整数
,使得
,那么称
为内和数列,并令
,称
为
的伴随数列,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a03aa8aecce705d71b3b6d906443b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4d30acf705ccad76fb8679f796663c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若内和数列![]() ![]() |
D.若内和数列![]() ![]() ![]() |
您最近一年使用:0次
2024-06-01更新
|
630次组卷
|
2卷引用:北京市东城区2023-2024学年高三下学期综合练习(二)(二模)数学试题
4 . 已知平面内点集
,A中任意两个不同点之间的距离都不相等. 设集合
,
. 给出以下四个结论:
①若
,则
;
②若
为奇数,则
;
③若
为偶数,则
;
④若
,则
.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041bc291bff24b4cee0b205da68db1f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ebdde37c672e10fd4ffe741247e566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18faaff0b5622f33a1574103fed13edd.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdda00159c36552b8a9a9743324f82a0.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffaac03e1e452f075e86853fef2a33de.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdda00159c36552b8a9a9743324f82a0.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25df56dc9b8169cbf924f39bfa9f7c30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb931a4b3eaa34e2c6f7dab5650f8af.png)
其中所有正确结论的序号是
您最近一年使用:0次
5 . 在
中,
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eebab59213386449a726b75065bf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3ffd0c313e93115a8c52e2a2479a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71812e0762c0aaffb51cfef66156567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.1 | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
6 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae26174940a743f49d35de89791d1c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39c467b17007bcdcebe5cd0198a1c557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知函数
.
(1)求曲线
在
处的切线方程;
(2)求函数
在区间
上的极值点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94e4f80360572436f6e3b6ebb44886a.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bacf413627aad46a20c0167a7131a22.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ecd45cbcd43dc778dec5a0c903f9af.png)
您最近一年使用:0次
8 . 直线
与圆
交于
,
两点,若圆上存在点
,使得
为等腰三角形,则点
的坐标可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42502a5730e1930d77d7100d1e34707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efdd4bbe1516ca1212a09d22108f910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 声音是由物体振动产生的,每一个纯音都是由单一简谐运动产生的乐音,其数学模型为
,其中
表示振幅,响度与振幅有关;
表示最小正周期,
,它是物体振动一次所需的时间;
表示频率,
,它是物体在单位时间里振动的次数.下表为我国古代五声音阶及其对应的频率
:
小明同学利用专业设备,先弹奏五声音阶中的一个音,间隔
个单位时间后,第二次弹奏同一个音(假设两次声音响度一致,且不受外界阻力影响,声音响度不会减弱),若两次弹奏产生的振动曲线在
上重合,根据表格中数据判断小明弹奏的音是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f37088e84230a522586eb9e60089c54a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dceb375cbb5f7cad9129f22aabf8bcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02f1e2590c1c301b820a4a717529b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
音 | 宫 | 商 | 角 | 徵 | 羽 |
频率 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb22d8add89d149400c5e6221b47d77.png)
A.宫 | B.商 | C.角 | D.徵 |
您最近一年使用:0次
10 . 若复数
满足
.则在复平面内,
对应的点的坐标是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4797224647fd0c9666171d5e11ffdedb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
您最近一年使用:0次