1 . 已知正方体
的棱长为2,
为
的中点,
为
所在平面上一动点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/7c118efe-32f3-420d-9f08-26eca1266b48.png?resizew=165)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() |
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解题方法
2 . 已知空间直角坐标系
中,
同在球F的球面上,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db76e23ddfd73a8f3ebe01f00f90f640.png)
A.![]() ![]() |
B.球F的表面积为![]() |
C.E点的轨迹长度为![]() |
D.球的弦![]() ![]() |
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2024高三·全国·专题练习
3 . 如图,已知四边形
是矩形,
平面
,且
,M、N是线段
、
上的点,满足
.
,求证:直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
平面
;
(2)是否存在实数
,使直线
同时垂直于直线
,直线
?如果有请求出
的值,否则请说明理由;
(3)若
,求直线
与直线
所成最大角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cbd23176d1f96deb84372973e16a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564376a88fa74090de9f7694226a6184.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
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2024-03-17更新
|
951次组卷
|
5卷引用:【江苏专用】高二下学期期末模拟测试B卷
(已下线)【江苏专用】高二下学期期末模拟测试B卷(已下线)期中考试押题卷(考试范围:第6-7章)-【帮课堂】2023-2024学年高二数学同步学与练(苏教版2019选择性必修第二册)(已下线)专题01 空间向量与立体几何解答题必考题型(6类题型)-备战2023-2024学年高二数学下学期期末真题分类汇编(江苏专用)(已下线)第二章 立体几何中的计算 专题一 空间角 微点3 异面直线所成角综合训练【培优版】江苏省镇江市实验高级中学2023-2024学年高一下学期5月月考数学试卷
解题方法
4 . 已知空间四点
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cd3cac28d66e830fe757f89665b307.png)
A.![]() | B.以![]() ![]() |
C.点O到直线![]() ![]() | D.O,A,B,C四点共面 |
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解题方法
5 . 如图所示,在四棱锥
中,
为等腰直角三角形,且
,四边形ABCD为直角梯形,满足
,
(1)求证
;
(2)若点E为PB的中点,点F为CD的中点,点M为棱AB上一点.当
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa3f47f7c8e18b5e501c9bddeda0a547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541c76819d18030fa02fcdea0696486f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/78fae179-666c-4651-b255-6fa92c4eb091.png?resizew=145)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c71dbf267939080668be464f1aa60da.png)
(2)若点E为PB的中点,点F为CD的中点,点M为棱AB上一点.当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a2d4b21832458c74b98c2f3428d509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d036bb00a4dbe069c98fa8604559c1dd.png)
您最近一年使用:0次
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6 . 已知空间中三点
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3e36b109d9e49eb99cfd16baa0ee05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922ace9e17f534a1360f8f1c16e7de6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
A.![]() | B.4 | C.3 | D.![]() |
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解题方法
7 . 在棱长为2的正方体
中,
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/555c771c-8b93-4469-a840-0d43cd9d9ac4.png?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68345111b4081c514cc15ee82167898f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02b7a2a4601a4a52dc2638845eae3b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/555c771c-8b93-4469-a840-0d43cd9d9ac4.png?resizew=152)
A.![]() |
B.三棱锥![]() |
C.若![]() ![]() ![]() |
D.三棱锥![]() ![]() |
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8 . 下列说法正确的是( )
A.已知![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若向量![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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解题方法
9 . 如图,在平行六面体
中,
,则直线
与直线AC所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a2d3f8941eeaa03b957d1ba6a2f867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 古希腊的几何学家用一个不垂直于圆锥的轴的平面去截一个圆锥,将所截得的不同的截口曲线统称为圆锥曲线如图所示的圆锥中,AB为底面圆的直径,M为PB中点,某同学用平行于母线PA且过点M的平面去截圆锥,所得截口曲线为抛物线.若该圆锥的高
,底面半径
,则该抛物线焦点到准线的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae890f9e8b32aa53a54158f24f4a87bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
A.2 | B.3 | C.![]() | D.![]() |
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2024-03-13更新
|
256次组卷
|
4卷引用:河北省石家庄精英中学2023-2024学年高二上学期期末数学试题