名校
解题方法
1 . 如图,在棱长为2的正方体
中,
为边
的中点,
为
中点,
为
上的动点,则( )
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
A.![]() ![]() ![]() |
B.过![]() |
C.该正方体外接球的表面积与内切球的表面积之比为![]() |
D.![]() ![]() ![]() |
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2 . 如图,在三棱锥
中,
,
是正三角形.
平面
;
(2)若
,
,求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9128ec5fb5c7b93f19b5951f065c354c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08b395fcd6ac97b243d81ffa189fac3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8a4d47b010fa15c425bfd7b289b580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
2024-06-17更新
|
594次组卷
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2卷引用:浙江省县域教研联盟2023-2024学年高二下学期学业水平模拟考试数学试题
3 . 如图,在梯形
中,
,
,
,
.将
沿对角线
折成四面体
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4c18aba9681a8475968248764d4c3a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/00c17ec5-c83f-426c-b9ba-80ba3af6d097.png?resizew=264)
A.在翻折过程中,存在某个位置,使得![]() |
B.在翻折过程中,存在某个位置,使得![]() |
C.在翻折过程中,四面体![]() ![]() |
D.在翻折过程中,直线![]() ![]() ![]() |
您最近一年使用:0次
4 . 如图,三棱台
的六个顶点都在球心为O的半球面上,
在半球底面上,球的直径
.
(1)求证:
平面
;
(2)求直线
与平面ABC所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3cc9b4c4f66e90a6362f397753ace0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/18/e07ee486-8688-4556-a013-f40ef5f69b5e.png?resizew=198)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a3c1b37a3f642d92f153b800e0b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
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解题方法
5 . 如图,在四棱锥
中,底面
是菱形,且
,
为正三角形,
.
(1)求证:
面
;
(2)若
是
的中点,求
与面
所成角的正弦值.
![](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/05740f0c6071846227dc0ec177ad15e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acee03d4bb4667b6c345221b6c9b0fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19269cd8c880d41ecb5aa9f5aba43f0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/25/05874cac-84ac-4701-9a29-5207b0da7d1f.png?resizew=179)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
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6 . 如图,已知四边形ABCD是菱形,
,
绕着BD顺时针旋转
得到
,E是PC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/02644d21-2be4-404f-a54f-c470e8bffe9a.jpg?resizew=194)
(1)求证:
平面BDE;
(2)求直线AP与平面PBC所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acee03d4bb4667b6c345221b6c9b0fa4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/02644d21-2be4-404f-a54f-c470e8bffe9a.jpg?resizew=194)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1666b45ed176d648dd1764f4a2dbd73.png)
(2)求直线AP与平面PBC所成角的正弦值.
您最近一年使用:0次
名校
解题方法
7 . 如图,在三棱锥
中,侧面
底面BCD,
,
,
,
,直线AC与底面BCD所成角的大小为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/1b90acaa-4022-4c96-b59a-bddae8c85b61.png?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5441d73845911db1993bf903c4d8700f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45fb9a3d61c62c86cde849e519e6bb8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/1b90acaa-4022-4c96-b59a-bddae8c85b61.png?resizew=152)
A.30° | B.45° | C.60° | D.90° |
您最近一年使用:0次
2022-11-22更新
|
659次组卷
|
7卷引用:浙江省2017年4月普通高中学业水平考试数学试题
浙江省2017年4月普通高中学业水平考试数学试题河北省磁县滏滨中学2017-2018学年高二下学期期末考试数学(理)试题安徽省合肥九中2020-2021学年高二上学期第一次月考数学试题甘肃省兰州市西北师范大学附属中学2022-2023学年高二上学期期中数学试题(已下线)考点50 用综合法求角与距离-备战2022年高考数学一轮复习考点帮(新高考地区专用)【学科网名师堂】(已下线)第32讲 线面角的几何求法(已下线)专题10 空间角与空间距离的综合(1)-期中期末考点大串讲
8 . 如图,在三棱锥ABCD中,且AD⊥DC,AC⊥CB,面ABD⊥面BCD,AD=CD=BC,E为AC的中点,H为BD的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/07da23e7-2ba9-452d-85f2-d3081ac0f3d4.png?resizew=170)
(1)求证:AD⊥BC;
(2)在直线CH上确定一点F,使得AF∥面BDE,求AF与面BCD所成角的度数.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/07da23e7-2ba9-452d-85f2-d3081ac0f3d4.png?resizew=170)
(1)求证:AD⊥BC;
(2)在直线CH上确定一点F,使得AF∥面BDE,求AF与面BCD所成角的度数.
您最近一年使用:0次
名校
解题方法
9 . 已知正方体
的棱长为2,点O为
的中点,若以O为球心,
为半径的球面与正方体
的棱有四个交点E,F,G,H,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/045f281d-8f3c-4c3f-844a-53dfd28029f9.png?resizew=221)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/045f281d-8f3c-4c3f-844a-53dfd28029f9.png?resizew=221)
A.![]() ![]() |
B.![]() |
C.![]() ![]() |
D.平面![]() ![]() |
您最近一年使用:0次
2022-08-05更新
|
1172次组卷
|
5卷引用:浙江省绍兴市诸暨市2021-2022学年高二下学期学考模拟(4)数学试题
浙江省绍兴市诸暨市2021-2022学年高二下学期学考模拟(4)数学试题湖南省长沙市望城区第一中学2022-2023学年高二下学期期末模拟数学试题四川省宜宾市第四中学校2023-2024学年高二上学期开学考试数学试题湖南省长沙市第一中学2022-2023学年高三上学期月考(一)数学试题(已下线)湖南省怀化市2022-2023学年高三上学期期末数学试题变式题11-16
10 . 如图,在三棱锥
中,三角形
是边长为2的正三角形,
,
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/0b942e12-3625-4146-bda0-f2768bcd3fb6.png?resizew=172)
(1)求证:
;
(2)若二面角
等于
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de4ac1dffa00045bf50af59fa024b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/0b942e12-3625-4146-bda0-f2768bcd3fb6.png?resizew=172)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84be64d28b1623e71ad989f37336b1f2.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1854ba6cc92481d7a616bd2788a47e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
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