2022高三·全国·专题练习
名校
解题方法
1 . 三角形ABC的一条边AB在平面
内,
,
,
,若AC与平面
所成角为
,则直线BC与平面
所成角的正弦值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac5e50bf09ceadd1715cd1265b5477a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc2838367b30bcdae927719a6f43382.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e63886a9574d2a7760f005de204277bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77a76720f624b79410295734706c641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac5e50bf09ceadd1715cd1265b5477a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b69099d2b74ffbb1f365e1468bd8fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac5e50bf09ceadd1715cd1265b5477a.png)
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名校
解题方法
2 . 如图所示是正方体的平面展开图,那么在正方体中( )
![](https://img.xkw.com/dksih/QBM/2022/5/25/2987010527412224/2988279554613248/STEM/1a132a32-9935-4112-b271-17967bad171f.png?resizew=176)
![](https://img.xkw.com/dksih/QBM/2022/5/25/2987010527412224/2988279554613248/STEM/1a132a32-9935-4112-b271-17967bad171f.png?resizew=176)
A.![]() |
B.EF和BC所成的角是60° |
C.直线AC和平面ABE所成的角是30° |
D.如果平面![]() ![]() ![]() ![]() |
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2022-05-27更新
|
1736次组卷
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7卷引用:四川省泸州市泸县泸县第四中学2022-2023学年高一下学期期末数学试题
2022高三·全国·专题练习
解题方法
3 . 在我国古代数学名著《九章算术》中,将底面为直角三角形,且侧棱垂直于底面的棱柱称为堑堵.已知在堑堵
中,
,
,
,
,则
与平面
所成角的大小为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a456120c701a4f8b22cf2ce7eb51f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1ac2e11788860424508ea9e80cf89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 在《九章算术》中,将底面为矩形且有一条侧棱与底面垂直的四棱锥称为“阳马”.如图,四棱锥P﹣ABCD为阳马,侧棱PA⊥底面ABCD,PA=AB=AD,E为棱PA的中点,则直线CE与平面PAD所成角的正弦值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/22/1ed94d17-4487-4b36-a4f3-23551b12c4df.png?resizew=135)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/22/1ed94d17-4487-4b36-a4f3-23551b12c4df.png?resizew=135)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-07-27更新
|
1365次组卷
|
11卷引用:四川省绵阳市2019-2020学年高一(下)期末数学试题
四川省绵阳市2019-2020学年高一(下)期末数学试题四川省绵阳市2019-2020学年高一下学期期末教学质量测试数学试题四川省广安市2020-2021学年高一下学期期末数学试题河北省衡水市安平中学2020-2021学年高一下学期期末数学试题宁夏吴忠中学2020-2021学年高二12月月考数学(理)试题广东省佛山市第一中学2020-2021学年高二上学期第一次段考数学试题山东省临沂市平邑第一中学新校区2021-2022学年高一下学期6月月考数学试题宁夏中卫中学2022-2023学年高二下学期第二次综合考试A卷数学(理)试题湖南省邵阳市第二中学2022-2023学年高一下学期期中数学试题广东省广州市真光中学2022-2023学年高一下学期5月阶段质量检测数学试题(已下线)第一章 空间向量与立体几何(单元提升卷)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)
名校
解题方法
5 . 如图,在三棱锥
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51558357ecba499e5df1d5d5b156e9c9.png)
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/9fc26e2f-980b-4f4d-9391-18db688a9fa9.png?resizew=150)
(1)证明:
;
(2)若点
在线段
上,且直线
与平面
所成角的正弦值为
,求直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51558357ecba499e5df1d5d5b156e9c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356bfa15fa2344ee2694e89e09f81652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/9fc26e2f-980b-4f4d-9391-18db688a9fa9.png?resizew=150)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa25143901063036f751fe1e592917df.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83fb9ac8a18e78a4c56da79514b5ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
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2020-03-17更新
|
344次组卷
|
2卷引用:四川省宜宾市第四中学校2022-2023学年高三上学期期末考试数学(理)试题
解题方法
6 . 如图,在四棱锥中
中,
,
,
,
,
是正三角形.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/fefe71de-e744-4ee3-9525-7dd09fcaaee8.png?resizew=142)
(1)求证:
;
(2)求
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c9d5c0b9d7b7cf3e14f56bc3b4ac2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6914d401b0e7099dbea8ebdd5052ee7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e2903ff33266528a7902ad51cf8d75.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/fefe71de-e744-4ee3-9525-7dd09fcaaee8.png?resizew=142)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0530f462e5ec1e58c46e1f7644d0cc21.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2020-02-27更新
|
1407次组卷
|
3卷引用:四川省内江市2019-2020学年高二上学期期末数学(理)试题
7 . 如图,已知
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852d9e14fa82e578158cbf961d079d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d954a105c21f72c615d67e3ef80fda78.png)
,点
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/4f20edb3-037b-427f-a334-ab1612c26d73.png?resizew=139)
(1)求证:平面
平面
;
(2)求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852d9e14fa82e578158cbf961d079d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d954a105c21f72c615d67e3ef80fda78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d31958388143741b9cb32dba9af11c.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/2022/12/7/4f20edb3-037b-427f-a334-ab1612c26d73.png?resizew=139)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286fa8a5d88da060a6d6bea468996283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7f072f0834ebdf155abc5dcc9c8d99.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7f072f0834ebdf155abc5dcc9c8d99.png)
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2019-12-03更新
|
614次组卷
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2卷引用:四川省雅安市2019-2020学年高一下学期期末考试数学试题
8 . 已知正三棱柱
中,各棱长均相等,则
与平面
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://img.xkw.com/dksih/QBM/2018/2/23/1888492146532352/1891610971217920/STEM/d0a5552827f743d9bb16fff76eb8f25a.png?resizew=193)
A.![]() | B.![]() | C.![]() | D.![]() |
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10-11高二下·广西桂林·期中
9 . 若正三棱柱
的棱长均相等,则
与侧面
所成角的正切值为___.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
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2016-11-30更新
|
1032次组卷
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4卷引用:四川省泸县泸州市第四中学2019-2020学年高三上学期期末考试数学(文)试题
四川省泸县泸州市第四中学2019-2020学年高三上学期期末考试数学(文)试题四川省泸县泸州市第四中学2019-2020学年高三上学期期末考试数学(理)试题(已下线)2010-2011学年广西桂林十八中高二下学期期中考试试卷数学(理科)(已下线)2013-2014学年广西桂林十八中高二下学期开学考理科数学试卷