名校
1 . 已知集合
,集合
,若
有且仅有3个不同元素,则实数
的值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3200fb8ac2cef195e675ff6075cb0989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab4044f44f969456844053b74e91e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.0 | B.1 | C.2 | D.3 |
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2024-05-22更新
|
531次组卷
|
3卷引用:重庆市乌江新高考协作体2024届高考模拟监测(二)数学试题
名校
2 . 已知集合
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0354770868763533a94415b186889d53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89bf637c6b72f2ca27ca40466d134de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe71f2f7832a2887453fefe73335c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . “费马点”是由法国数学家费马提出并征解的一个问题.该问题是:“在一个三角形内求作一点,使其与此三角形的三个顶点的距离之和最小.”意大利数学家托里拆利给出了解答,当
的三个内角均小于
时,使得
的点
即为费马点;当
有一个内角大于或等于
时,最大内角的顶点为费马点.试用以上知识解决下面问题:已知
的内角
所对的边分别为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178606c42de1fc581d6aad2932289ba0.png)
(1)求
;
(2)若
,设点
为
的费马点,求
;
(3)设点
为
的费马点,
,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eeafab7e93d2dba0b18aa61b16dfce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178606c42de1fc581d6aad2932289ba0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ac38c5cc951497a4a37778b191bcce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8f8a1e38db0e55b9b1934569b24e74.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d283585c357101b13084466420e1202b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
4 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1c68423ec766165dd4fa7960121c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5e1e33c1259195f7bb0198a3e6f65a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-07更新
|
396次组卷
|
2卷引用:重庆市乌江新高考协作体2024届高考模拟监测(一)数学试题
名校
5 . 已知函数
,则
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa5748e4072b2755c5c824b32bdc434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01bd431ff8688b3fab189891780f05f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-24更新
|
848次组卷
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2卷引用:重庆市第八中学校2024届高三下学期高考强化训练(二)数学试题
6 . 已知集合
, 则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10afadca082ca2c22664f4c77b1dc0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72ef9665654c618812d35f99535549d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知集合
,
,若
,则a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95cc0ef293bca74671e59536033fe32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9730e261399df54a5c7d57a6e08cb8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343324ebf9d6e86c42fbde0fbb94689d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a3dac83e8ddeb8b4158794fe8c37f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5e1e33c1259195f7bb0198a3e6f65a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-06更新
|
432次组卷
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2卷引用:重庆市第八中学2024届高三下学期3月适应性月考卷(六)数学试题
名校
解题方法
9 . 已知集合
,
,则图中阴影部分所表示的集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d885772e1fd717a6eb1156eba2bf2497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce3b8fa1fdf6eff85cd66c7b3e16162.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/22/8e92591b-812c-45bf-9e43-853d96768a8f.png?resizew=160)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 设正实数
,
,且满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b83b4275e05ae2ea131bce134ce476.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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