解题方法
1 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818a0cd4465aed8d27ae8637f9725a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419ee9336fb5bb89943b57927de80b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
2 . 已知集合
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca31d722443aafe63d36132771c753c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68ddb3ee3e01fae437eb148b1616031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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解题方法
3 . 设集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5364514cc5a769643db2bdce20b8b7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d413168d2ad9dccacd5ca4cc0841f2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 我们知道,二维空间(平面)向量可用二元有序数组
表示;三维空间向盘可用三元有序数组
表示.一般地,
维空间向量用
元有序数组
表示,其中
称为空间向量的第
个分量,
为这个分量的下标.对于
维空间向量
,定义集合
.记
的元素的个数为
(约定空集的元素个数为0).
(1)若空间向量
,求
及
;
(2)对于空间向量
.若
,求证:
,若
,则
;
(3)若空间向量
的坐标满足
,当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1acd1459dd96e861e6e04abccb2a3817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c2a29087dbd2e7635da13f7d288c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086eb439f6a1578fdba904825340772d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a3c6c6fe94124d76957d9a8c837701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8715a3f984d2627afd7c40c61347b7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086eb439f6a1578fdba904825340772d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4e5fb9e41d1310778b0dda692066dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afad70ea217c830631639e8508ad410b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0196cb738ee760339a9e15c8e6d9a41.png)
(1)若空间向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd4517944d03f267b87ee1c184f463dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a0d7cdd1e3a38753d1290d9de9f9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc51f796615bfd474cee9d4d80e1eae.png)
(2)对于空间向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086eb439f6a1578fdba904825340772d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09611387d4de23004d388c9a8dde3438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daee8af73118698c77e022651f69ef22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b71af6590f0f369c164a054a8b63bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a205f096c854a2f7cd71255056f9f7.png)
(3)若空间向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd074bea5f4eb8f60729b75e970afda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3894099d6bf29b73086842a48da10174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1653bed33a88140f16d494e8454f5225.png)
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解题方法
5 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c3ceb821e8fbcba387939822b369f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2ed5d8b8955203cc6d56540e729741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 给定整数
,有
个实数元素的集合
,定义其相伴数集
,如果
,则称集合
为一个
元规范数集.(注:
表示数集
中的最小数).对于集合
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e391e67ba09b2aed5866626e2593dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f292ceb39541a09e4e0895236888b758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f5e363bbded380a6c6e5d51405e5fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3bd791bb5d0ba45d4a76864892b612.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
7 . 若集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a7e22716a54bc071d60fb99e66b660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4517f05182d411c6d068b49bd1d4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-08更新
|
567次组卷
|
3卷引用:湖南省长沙市雅礼中学2024届高三下学期模拟(三)数学试题
解题方法
8 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301133e6eef444ffd951f0587f24ee35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda5acd019f2b6eff2af1a3284e14d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4198dc12226f85fae2348730c25ab6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知集合
,则集合
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec9db8628cc13f39407b452586fa7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c48fd7c33272e2a2bf492e5cc3364fb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-04更新
|
1281次组卷
|
4卷引用:湖南师范大学附属中学2024届高三下学期模拟(二)数学试卷
2024·全国·模拟预测
名校
解题方法
10 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1279dfbcd2bb11cdd650782bd4683cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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