真题
1 . 已知
是平面直角坐标系中的点集.设
是
中两点间距离的最大值,
是
表示的图形的面积,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbd4f6afbd0d32ee97a05e34948bb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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7日内更新
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2291次组卷
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8卷引用:2024年北京高考数学真题
2024年北京高考数学真题专题02函数(已下线)2024年北京高考数学真题变式题6-10专题03函数概念与基本初等函数(已下线)五年北京专题02函数概念与基本初等函数(已下线)三年北京专题02函数概念与基本初等函数(已下线)五年北京专题01集合、常用逻辑与不等式(已下线)平面解析几何-综合测试卷B卷
名校
解题方法
2 . 设集合
,则集合
的元素个数为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef227996d16320e5b48d244ef58cfa47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.1012 | B.1013 | C.2024 | D.2025 |
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3 . 设
,集合
,集合
,对于集合B有下列两个结论:①存在a和b,使得集合B中恰有5个元素;②存在a和b,使得集合B中恰有4个元素.则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63478e7cf55bad51bbd4ce1e23363e75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039abfbcdcc01da76d4123f81cf0f6a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db566527d91ecc1eccaf82460730983b.png)
A.①②都正确 | B.①②都错误 | C.①错误,②正确 | D.①正确,②错误 |
您最近一年使用:0次
4 . 设集合
,点P的坐标为
,满足“对任意
,都有
”的点P构成的图形为
,满足“存在
,使得
”的点P构成的图形为
.对于下述两个结论:①
为正方形以及该正方形内部区域;②
的面积大于32.以下说法正确的为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03cd04b82dda9c0d2dd0957ffc407d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9712a0071f6d0d78d17ce18f6084cad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3693b84b83679c30b1035750d9b4f2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deebd2c36a5e644a566f1980091359bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9712a0071f6d0d78d17ce18f6084cad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3693b84b83679c30b1035750d9b4f2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e32039addb008103a2a8344225214a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deebd2c36a5e644a566f1980091359bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e32039addb008103a2a8344225214a.png)
A.①、②都正确 | B.①正确,②不正确 |
C.①不正确,②正确 | D.①、②都不正确 |
您最近一年使用:0次
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解题方法
5 . 已知集合
,若
且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d8d2066c889853be7edf105407ce1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8175dc086640a31fd4291f7e113814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93ea558eaffc36d5c6da5c0725a9ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
A.2 | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
名校
6 . 设集合
,则集合
的元素个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/043e6bd11ec32ff06dd7e914b6e04a69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.1013 | B.1012 | C.506 | D.507 |
您最近一年使用:0次
解题方法
7 . 如图所示是毕达哥拉斯的生长程序:正方形上连接着等腰直角三角形,等腰直角三角形边上再连接正方形,如此继续.设初始正方形的边长为
,依次构造出的小正方形(含初始正方形)的边长构成数列
,若
的前n项和为
,令
,其中
表示x,y中的较大值.若
恒成立,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada276697c735a2cb9153893c354204b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b887145cbf2d3ae42bb64014dcb687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37f161c1dd788025cef9910858df7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692d61cfa2d6992bacd6468336842576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知函数
,
为高斯函数,表示不超过实数
的最大整数,例如
,
.记
,
,则集合
,
的关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/682febee359f97ca7c884c04107f4f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b7f26fe1977bda9de200debe99f020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b402a6903e5a87ac7e12bf044430a1f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001a899c9fe7bdd1c177c9ad21691c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e830c188cb57d17e17db0ce5d0a140e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60eefc32862e48b303091dc40da95fda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知集合
是由某些正整数组成的集合,且满足:若
,则当且仅当
(其中正整数
、
且
)或
(其中正整数
、
且
).现有如下两个命题:①
;②集合
.则下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09256752badab8d69ae679796896ed97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e411f21d6dd32a560489a62b943bf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44b482719577dde6fa146e44aa0c448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d9712c3b25f3030e166e136d3a4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c5ca9049f4cf789e1f4752cc8a713d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e337060df2f24d9d83cd33c1d3f1322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14e88b76e8fbfed5a6b57a9e708fc21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73960df7b5e19b38042cc65a5815689a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ec08a11a3b6f577c568c5efc5ed6db.png)
A.①对②对 | B.①对②错 | C.①错②对 | D.①错②错 |
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10 . 设无穷等差数列
的公差为
,集合
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040b2d17eb8cc9c82983da549afd2663.png)
A.![]() |
B.当且仅当![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-01-04更新
|
644次组卷
|
2卷引用:北京市大兴区2024届高三上学期期末数学试题