名校
1 . 在边长为2的正方体
中,动点
满足
,
且
,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/34b93364f416d0ceadcc84387ae12e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722cf568777f083d83424c02c5890825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f59b580adf6193c35d22749499280a.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() |
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2024-02-24更新
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6卷引用:专题04 立体几何
(已下线)专题04 立体几何广西壮族自治区南宁市第三中学、柳州高级中学2024届高三下学期一轮复习诊断性联考数学试卷(已下线)压轴小题7 探究立体几何中的动态问题湖南省邵阳市邵东市第一中学2023-2024学年高二下学期3月月考数学试题(已下线)压轴题04立体几何压轴题10题型汇总-1河南省信阳市新县高级中学2024届高三考前第六次适应性考试数学试题
名校
解题方法
2 . 已知正方体
的棱长为2,点P在正方形ABCD内运动(含边界),则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/29b626d1-eb5a-4733-b26f-b764f92f96df.png?resizew=142)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/29b626d1-eb5a-4733-b26f-b764f92f96df.png?resizew=142)
A.存在点P,使得![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2023-02-17更新
|
1360次组卷
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4卷引用:河北省唐山市2022-2023学年高二上学期期末数学试题
河北省唐山市2022-2023学年高二上学期期末数学试题(已下线)模块四 专题1 重组综合练(河北)期末终极研习室(高二人教A版)(已下线)第一章 空间向量与立体几何(压轴题专练,精选20题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第一册)广东省东莞市东华高级中学2022-2023学年高二下学期期中考试数学试卷
名校
解题方法
3 . 如图,在棱长为
的正方体
中,点
是平面
内一个动点,且满足
,则直线
与直线
所成角的余弦值的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597309aef34443fcaf0d4b35046295ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655c413f509068d30b165f9d92bdba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/5/0df12d79-a96f-4f7d-9187-9a0559c57cf4.png?resizew=180)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2020-09-19更新
|
5149次组卷
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9卷引用:2020届河北省衡水中学高三下学期第一次模拟数学(理)试题
2020届河北省衡水中学高三下学期第一次模拟数学(理)试题(已下线)第32练 直线、平面垂直的判定与性质-2021年高考数学(理)一轮复习小题必刷(已下线)第31讲 立体几何中的最大角和最小角定理-2022年新高考数学二轮专题突破精练(已下线)专题33 空间中线线角、线面角,二面角的求法-学会解题之高三数学万能解题模板【2022版】广东省2022届高三高考仿真卷二数学试题四川省成都市2022-2023学年高一下学期期末数学试题四川省成都市部分省重点高中2022-2023学年高一下学期期末数学试题四川省2022-2023学年高一下学期“贡嘎杯”期末质量检测考试数学试题重庆市万州第二高级中学2024届高三上学期7月月考数学试题
名校
解题方法
4 . 如图两个同心球,球心均为点
,其中大球与小球的表面积之比为3:1,线段
与
是夹在两个球体之间的内弦,其中
两点在小球上,
两点在大球上,两内弦均不穿过小球内部.当四面体
的体积达到最大值时,此时异面直线
与
的夹角为
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/59b776be-dbb8-4efb-90c5-f6b3a324ffa6.png?resizew=119)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e478787ebfeb68a5a7594dbd9eecd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f90eb172dbd2ff7ae6f705801c0737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/324bef341a7f657af68e0d845b7d3115.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/59b776be-dbb8-4efb-90c5-f6b3a324ffa6.png?resizew=119)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-02-19更新
|
2516次组卷
|
9卷引用:河北省衡水中学2021届高三下学期二调数学试题
2014·河北衡水·一模
名校
5 . 如图,已知长方形
中,
,
为
的中点.将
沿
折起,使得平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/b7cca480-f742-4365-b0e7-d6bb45df58ac.png?resizew=392)
(1)求证:
;
(2)若点
是线段
上的一动点,问点E在何位置时,二面角
的余弦值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2014/4/25/1571665321623552/1571665327529984/STEM/cb120fddf0834670a2402af1dec613f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1e88b36ff71fe69c07bade0f95f1ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb5012f6c70a1e98d682b6d021fadd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0760712e3e2ea02b755b751e760d0c55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/10/b7cca480-f742-4365-b0e7-d6bb45df58ac.png?resizew=392)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2014/4/25/1571665321623552/1571665327529984/STEM/166eea3c675d40da9df21ecb506066b3.png)
(2)若点
![](https://img.xkw.com/dksih/QBM/2014/4/25/1571665321623552/1571665327529984/STEM/03d6e6e1eaaa4385828c1eb274fde031.png)
![](https://img.xkw.com/dksih/QBM/2014/4/25/1571665321623552/1571665327529984/STEM/7d591459a7ff4a5b84f8bb101313da35.png)
![](https://img.xkw.com/dksih/QBM/2014/4/25/1571665321623552/1571665327529984/STEM/4a0c98ebb87e4e59bece718a6f23563d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
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2016-12-03更新
|
2189次组卷
|
3卷引用:2014届河北省冀州中学高三年级模拟考试理科数学试卷
6 . 如图,在四棱锥
中,底面
为平行四边形, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdea930312e69bdae8b137bb335645c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03aecad979ea45f2e83af3f2b1eac8b.png)
底面
.
![](https://img.xkw.com/dksih/QBM/2015/7/7/1572168035205120/1572168181899264/STEM/d4eb2048-e2e8-4d4a-b798-10e24de3db96.png)
(1)证明:
;
(2)若
求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdea930312e69bdae8b137bb335645c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03aecad979ea45f2e83af3f2b1eac8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2015/7/7/1572168035205120/1572168181899264/STEM/d4eb2048-e2e8-4d4a-b798-10e24de3db96.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa54114f04a75b8c96165b3718ed7f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b9cde09e0bb71915e0aa74c7c6540f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c2065df689028e7289e2ad3c03eb1c.png)
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