解题方法
1 . 已知集合
,若
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b6b946c17f21907f48359bd189cfbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c724b71d80bc67dcf45818b7bbb8f6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 在长方体
中,已知
,
,
,点
为底面
内一点,若
和底面
所成角与二面角
的大小相等,点
在底面
的投影为点
,则三棱锥
体积的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b59ab6bf6111dda4a3d428454768b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad3a1ea6790177130e16c2124984087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adebae2f9d7543915eb5a36427f9b6d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e07010ccdf2d83b7d3a6944034d3c95.png)
A.![]() | B.2 | C.![]() | D.![]() |
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3 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8cd0b152fb7d753dccbd57e54d81b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
4 . 已知
是单位向量,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f275a75246b5be5cf179f81267d53f1.png)
在
上的投影向量为
,则
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f275a75246b5be5cf179f81267d53f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169143072a2c2a0ea7062d65735de1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a250997f723ab4ccff9d91e0d810fed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:江苏省无锡市辅仁高级中学2023-2024学年高一下学期期中考试数学试题
江苏省无锡市辅仁高级中学2023-2024学年高一下学期期中考试数学试题江苏省无锡市辅仁高级中学2023-2024学年高二下学期期中考试数学试题江苏省无锡市江阴市两校联考2023-2024学年高一下学期5月阶段检测数学试题湖北省新高考联考协作体2024届高三下学期2月收心考试数学试题(已下线)6.2.4 向量的数量积——课后作业(提升版)(已下线)广东省深圳市深圳中学2024届高三二轮四阶测试数学试题
5 . 已知集合
,
,则满足条件
的集合
的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a22f8d9188279429b395c30b2898ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baacdd9773a97d82cdb6a79ab7eae20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd089af2b898c37371cee5ebbc07be7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
6 . 在
中,
是边
的中点,
是线段
的中点.若
,
的面积为
,则
取最小值 时,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32220fd969663f42cd619f8cc8b355c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e6f0e94393fc6bbd9b4b83ede534ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc0de00cff352df72961a2a135a1125.png)
A.2 | B.![]() | C.6 | D.4 |
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解题方法
7 . 已知棱长为1的正方体
,以正方体中心为球心的球
与正方体的各条棱相切,若点
在球
的正方体外部(含正方体表面)运动,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
A.2 | B.![]() | C.![]() | D.![]() |
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8 . 已知集合
,
,则
中元素的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30328ed946897ce564552b73370027d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bdad4b0d073570079ad4075fa9d658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.0 | B.1 | C.2 | D.无数个 |
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9 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656f9b8f27f9c0f4d997d842426b358d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2936b49ae80d0290ef219eb2d5f71a47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知圆
,过点
的直线l与圆O交于B,C两点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a41c980db2cc3508b0f03d3b7ab943c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4665cc756635abc74f907e364d2f26e9.png)
A.2 | B.![]() | C.![]() | D.![]() |
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