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1 . 下列结论正确的是( )
A.在空间直角坐标系![]() ![]() ![]() ![]() |
B.若向量![]() ![]() ![]() |
C.若向量![]() ![]() ![]() ![]() |
D.![]() ![]() ![]() ![]() |
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2024-03-29更新
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670次组卷
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4卷引用:河南省部分学校2023-2024学年高二下学期阶段性测试(三)数学试卷
河南省部分学校2023-2024学年高二下学期阶段性测试(三)数学试卷江苏省南京市田家炳高级中学2023-2024学年高二下学期期中考试数学试卷(已下线)模块五 专题4 全真能力模拟4(苏教版高二期中研习)(已下线)专题01 空间向量表示及运算--高二期末考点大串讲(苏教版2019选择性必修第二册)
23-24高二下·江苏·课前预习
2 . 在如图所示的空间直角坐标系中,四边形
是正方形
,则PD的中点M的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d308da76a09e3f8052d5779880e79e70.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/c3d37a34-5fa5-4ca8-a23a-5d87a7a97c73.png?resizew=152)
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23-24高二下·江苏·课前预习
3 . 如图所示,在四棱锥
中,建立空间直角坐标系
,若
,
是
的中点,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db2a5300f661bca3412db51fcbd1ea7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5927bb072d8812d311833cf676cd2d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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23-24高二下·江苏·课前预习
4 . 点
关于
轴的对称点的坐标是______ ,关于坐标平面
的对称点的坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c958d4dbb4aacfeeee3955083cc7c188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
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5 . 在空间直角坐标系中,点
关于
平面对称的点的坐标是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664dcd44b22ab2dbf7d22f67e6c1e4d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d96461d2b3421aed548b754637ca8a.png)
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2024-02-12更新
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411次组卷
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3卷引用:河南省郑州市2023-2024学年高二上学期1月期末考试数学试题
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6 . 在三棱台
中,
平面
,
,
,
,
为
中点.
平面
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee6a2c9d3843855bf89516bdd6ad5de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45224f7eac9d0cef64bf28d93e7721a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1604adab63e6350177d8130123dca0f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9260ee90b4107dcdc5b2b0937c40e8c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b668b5c01e0b1a529cc4e3efb2e9057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c552b00e3c50158e7f2ac5d6591d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
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2024-02-12更新
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408次组卷
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3卷引用:河南省郑州市2023-2024学年高二上学期1月期末考试数学试题
7 . 如图所示,
平面
,底面
是边长为1的正方形,
,P是
上一点,且
.
(1)建立适当的坐标系并求点
的坐标;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39967d6f3aed6ce7b6643787795d451d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b7884aa0035d9224b9c418757ca373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dbb3f18d5f45a462321585a9edbc8b0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/30/16251c4f-1e61-4b18-b252-adbf57ea2a35.png?resizew=133)
(1)建立适当的坐标系并求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790af946ddf294a1a39d1ee6b9cf5f1f.png)
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解题方法
8 . 已知正方体
的棱长为2,点P为线段
上的动点,则点P到直线
的距离的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-10-10更新
|
637次组卷
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5卷引用:四川省绵阳南山中学2023-2024学年高二上学期10月月考数学试题
9 . 如图长方体
中,
分别是
的中点,如图所示建系,则
中点的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48eb419428729b96a728161edac52c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5e467a47bc0271e4907f5f77b52658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/13/2da71a85-fc9f-41f4-a0eb-2c1a5250a256.png?resizew=167)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 如图,在长方体
中,
,以直线
分别为
轴,
轴,
轴,建立空间直角坐标系
,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9263c37dc493329bbea2720ea6fb3d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1dd635cae84319a62ed68af58901b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd407cdb6c758cdbe7e7216544f85b82.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/10/39eec85c-1edf-4706-b08c-0f4fd49bb599.png?resizew=195)
A.点![]() ![]() |
B.点![]() ![]() ![]() |
C.点![]() ![]() ![]() |
D.点![]() ![]() ![]() |
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