名校
1 . 如图,在四棱锥
中,底面ABCD为矩形,
平面ABCD,M为PC中点.
平面MBD;
(2)若
,求直线BM与平面AMD所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c2b786c64e6a9ed2ec5670cde74f86.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337f017d0c8eeb3f181e0211935ecf2d.png)
您最近一年使用:0次
2023-04-14更新
|
1782次组卷
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8卷引用:广西柳州地区民族高级中学2022-2023学年高二下学期期中考试数学试题
名校
2 . 如图1,矩形
中,
,点
为
的中点,现将
沿
折起,使得平面
平面
,得到如图2所示的四棱锥
,点
为棱
上一点.
;
(2)是否存在点
,使得直线
与平面
所成角的正弦值为
?若存在,求
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05dd1d338452860fb7369a8030de9735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675127116b1cace5e3158a88b7a2044a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4151e948feebdf7b91fbe739feafa9bc.png)
(2)是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f541f7ae7c39082d202efd28805c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4483fbccb86e51db927f5e7e08e0b044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734066a84c1ca69c76c371fc2ed38bfd.png)
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2023-11-20更新
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1613次组卷
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7卷引用:广西名校2024届高三新高考仿真卷(一)数学试题
(已下线)广西名校2024届高三新高考仿真卷(一)数学试题广东省佛山市禅城区2024届高三上学期统一调研测试(一)数学试题(已下线)考点13 立体几何中的探究问题 2024届高考数学考点总动员【练】(已下线)模块一 专题1 《立体几何》单元检测篇 A基础卷(已下线)模块二 专题1 立体几何中动态问题(已下线)2024届新高考数学信息卷5广东省茂名市高州中学2023-2024学年高二下学期期中考试数学试题
名校
3 . 如图,四棱锥
的底面
是平行四边形,
是边长为2的正三角形,平面
平面
为棱
的中点.
平面
.
(2)求直线
与平面
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/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df0ab48b6c32c1c594587bb86b39865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
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2024-02-29更新
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8卷引用:广西壮族自治区桂林市2023-2024学年高二下学期入学联合检测卷数学试题
名校
解题方法
4 . 在四棱锥
中,底面
为梯形,
,
,
,
,
,
⊥平面
.
(1)求证:平面
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9742a7f64ff91be02601331f4ef2bb4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28d6477c85c5a4ac410a884e92fbe53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b3539fcb35e07fcf3339eb04e7748d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee73452ee4d5437f1399f1235b95e55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab4007a35a23105744177d982caf747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb6823a329628699619a39cde927510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db37b5ce697dab3189a15881d00fcd0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28d6477c85c5a4ac410a884e92fbe53.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/16/a71e5192-9737-4ee3-9971-35af857f8eed.png?resizew=147)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6501f1c913a4ef64957a2f01ab5baa15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a0d238b6e9b49bbea22a79402e8e4f.png)
您最近一年使用:0次
2023-10-15更新
|
899次组卷
|
4卷引用:广西平果市铝城中学2023-2024学年高二上学期期末模拟数学试题(二)
名校
5 . 如图,直三棱柱
的所有棱长都是2,
分别是
的中点.
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98842968c75427c940b34de391a3a778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d06f8edd1a1f18ca2dae700c6a29ab4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/23/2b6a3e38-044b-4132-8316-b256242a0019.png?resizew=180)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
您最近一年使用:0次
2023-10-03更新
|
770次组卷
|
2卷引用:广西壮族自治区百色市德保县德保高中2023-2024学年高二上学期11月期中考试数学试题
6 . 如图,正方体
中,E是
的中点,M是AD的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/e57d0562-e1b1-4385-b008-554c361b8ccf.png?resizew=194)
(1)证明:
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e97fcdcfd6183b976a61ef3222c607.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/e57d0562-e1b1-4385-b008-554c361b8ccf.png?resizew=194)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adfc67f86e81cdd466230531ac658016.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65277734669566578cbb7d690bb200fb.png)
您最近一年使用:0次
名校
7 . 如图,四棱柱ABCD—
的侧棱
⊥底面ABCD,四边形ABCD为菱形,E,F分别为
,AA1的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/c1c04f02-1b05-4337-bb5e-c881d1470dd9.png?resizew=150)
(1)证明:B,E,D1,F四点共面;
(2)若
求直线AE与平面BED1F所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/c1c04f02-1b05-4337-bb5e-c881d1470dd9.png?resizew=150)
(1)证明:B,E,D1,F四点共面;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a9140eb3418d4384ed02e55c28e685.png)
您最近一年使用:0次
2023-01-22更新
|
474次组卷
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8卷引用:广西南宁市第二中学2023届高三上学期1月月考(期末)数学(理)试题
广西南宁市第二中学2023届高三上学期1月月考(期末)数学(理)试题广西柳州市第三中学2023届高三下学期2月开学考数学(理)试题云南省昆明市2021届“三诊一模”高三复习教学质量检测数学(理)试题(已下线)理科数学-学科网2021年高三5月大联考考后强化卷(新课标Ⅲ卷)(已下线)押第18题 立体几何-备战2021年高考数学(理)临考题号押题(全国卷1)河北省衡水市第十四中学(西校区)2021-2022学年高二上学期二调数学试题四川省成都市成华区某重点校2023届高三阶段性考试(三)暨高考模拟考试数学(理)试题四川省德阳市第五中学2022-2023学年高二下学期6月月考数学(理)试题
8 . 如图,在四棱锥
中,平面
底面
,
,点
为棱
的中点.
(1)证明:
;
(2)求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60a5d57f5301de2f3b3b1a5a5853f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ea26e11d345ec32d0a42587fe0176d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/13/78ee3c7d-5873-42ba-88e6-84b39b3dbbb6.png?resizew=171)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c38bbe49284a2ceab26001ced8cfd56.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
您最近一年使用:0次
2023-11-11更新
|
452次组卷
|
2卷引用:广西梧州市新高考教研联盟2023-2024学年高二上学期期中考试数学试题
名校
解题方法
9 . 如图所示的多面体,底面
为长方形,
平面
,
,则
与平面
所成角正弦值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/6/81d005e5-09cb-4a2f-b81b-bfdf02aeecca.png?resizew=205)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e0bd4b30dc777ac9da80f6baa3eb31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cc065325a80987a8f3eb34d5bb6b54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6218717f43d4872f558c7cb354e21dea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89992744fb42d976f786bbd7e562770.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/6/81d005e5-09cb-4a2f-b81b-bfdf02aeecca.png?resizew=205)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-04更新
|
441次组卷
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2卷引用:广西防城港市2022-2023学年高二上学期教学质量检测数学试题
名校
10 . 如图,在四棱锥P-ABCD中,底面ABCD为直角梯形,AB⊥AD,BC
AD,PA⊥平面ABCD且AB=BC=PA=1,AD=2,则PB与平面PCD所成角的正弦值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/28/fdcb96c2-1eb9-4259-9ed2-f47361978cfa.png?resizew=154)
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2023-01-08更新
|
584次组卷
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4卷引用:广西玉林市博白县中学2023-2024学年高二上学期第一次月考数学试题
广西玉林市博白县中学2023-2024学年高二上学期第一次月考数学试题吉林省长春北师大附属学校2021-2022学年高二上学期第一次月考数学试题(已下线)专题02 求空间角及空间向量的应用(三大类型)(已下线)第七章 应用空间向量解立体几何问题拓展 专题二 平面法向量求法及其应用 微点1 平面法向量求法及其应用(一)【培优版】