名校
解题方法
1 . 如图,已知正四棱锥
底面边长为2,侧棱长为4,
为侧棱
中点,则直线
与底面
所成角的正弦值为( )
![](https://img.xkw.com/dksih/QBM/2022/5/27/2988485037981696/2990613432934400/STEM/2cfb6bbe-89ab-4890-b285-3ef6b93f12ff.png?resizew=166)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2022/5/27/2988485037981696/2990613432934400/STEM/2cfb6bbe-89ab-4890-b285-3ef6b93f12ff.png?resizew=166)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 在长方体
中,直线
与平面
所成角为
,与平面
所成角为
,与平面
所成角为
,若
,
,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7510e3e81eaae5ee85cb1ed7043b6ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/688bd6d4509fd93c3fce75fa29854989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e9a88ca592df7fa21611e4bc5bbd82.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-29更新
|
430次组卷
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4卷引用:江苏省常州市第二中学2021-2022学年高一下学期5月学情调研数学试题
江苏省常州市第二中学2021-2022学年高一下学期5月学情调研数学试题(已下线)2022年全国高考甲卷数学(文)试题变式题21-23题(已下线)2022年全国高考甲卷数学(文)试题变式题9-12题2022年新高考原创密卷数学试题(六)
名校
解题方法
3 . 已知如图,在三棱柱
中,底面
是等边三角形,
,
在底面的射影为
的中点,
为
的中点,则直线
与平面
所成角的正弦值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/19/f7b552a7-5d1d-426f-b9f3-0083ac185c12.png?resizew=236)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92105835f8075cb75dff244e908370b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/19/f7b552a7-5d1d-426f-b9f3-0083ac185c12.png?resizew=236)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-05-25更新
|
989次组卷
|
4卷引用:重庆市三峡名校联盟2021-2022学年高一下学期5月联考数学试题
重庆市三峡名校联盟2021-2022学年高一下学期5月联考数学试题吉林省白山市抚松县第一中学2021-2022学年高一下学期第二次月考数学试题(已下线)第04讲 空间直线、平面的垂直 (讲)-2(已下线)微专题15 轻松搞定线面角问题
名校
解题方法
4 . 已知正四棱柱
中,
,E为
的中点,P为棱
上的动点,平面
过B,E,P三点,有如下四个命题:
①平面
平面
;
②平面
与正四棱柱表面的交线围成的图形一定是四边形;
③当P与A重合时,
截此四棱柱的外接球所得的截面面积为
;
④存在点P,使得AD与平面
所成角的大小为
.
则正确的命题个数为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e213c120b525e41b8156c8bd51d5168f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
①平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa807136194c18d3ac58902c67f9333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914d46f7e72b55d2ff3d9bc38e02b31d.png)
②平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
③当P与A重合时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c282794d917604db40da9d6fb9443fb.png)
④存在点P,使得AD与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
则正确的命题个数为( ).
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
5 . 已知三棱锥
中
,
,
平面
,
,直线
与平面
所成角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9332278351ab92e03e984e9279dd06a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1be17e0a3e51cde1f50f384198e71e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ced8225ff27c8e3e1897b8629312d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知正三棱柱
,各棱长均为2,且点
为棱
上一动点,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/5/15/2979902573969408/2980631545159680/STEM/82253e8a-139f-4873-b289-633fd7e5e10c.png?resizew=181)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/2022/5/15/2979902573969408/2980631545159680/STEM/82253e8a-139f-4873-b289-633fd7e5e10c.png?resizew=181)
A.该正三棱柱既有外接球,又有内切球 |
B.四棱锥![]() ![]() |
C.直线![]() ![]() |
D.直线![]() ![]() ![]() |
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2022-05-16更新
|
785次组卷
|
3卷引用:重庆市酉阳土家族苗族自治县第三中学校2021-2022学年高一下学期第三次月考数学试题
名校
解题方法
7 . 在直三棱柱
中,底面
为正三角形,若
,则直线
与平面
所成角为( )
![](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/fffb5d9b2ee0401dc93c31e56142aa71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
A.30° | B.45° | C.60° | D.75° |
您最近一年使用:0次
2022-05-12更新
|
576次组卷
|
5卷引用:河南省濮阳市南乐县第一高级中学2022-2023学年高二上学期第二次月考文科数学试题
河南省濮阳市南乐县第一高级中学2022-2023学年高二上学期第二次月考文科数学试题新疆维吾尔自治区2022届高三下学期第三次适应性检测数学(理)试题新疆维吾尔自治区普通高考2022届高三第三次适应性检测数学(文)试题(已下线)2022年全国高考甲卷数学(文)试题变式题21-23题(已下线)2022年全国高考甲卷数学(文)试题变式题9-12题
8 . 在正方体
中,
为棱
上的动点,
为线段
的中点.给出下列四个
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/13/9e0ce4c1-b69f-46c4-8a51-6d5eb2c46b80.png?resizew=202)
①
;
②直线
与平面
所成角不变;
③点
到直线
的距离不变;
④点
到
四点的距离相等.
其中,所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9601d29de0a884953b039ee72f0158fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/13/9e0ce4c1-b69f-46c4-8a51-6d5eb2c46b80.png?resizew=202)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3681ff426cdbe7184eeb004ff0eaefb.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557f8ff92d79a9d464ff13de17f3eae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcfe69b939fd1c271747fe9d37ccdf9.png)
③点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef79576da8b2f423533a4bf60714f25f.png)
其中,所有正确结论的序号为( )
A.②③ | B.③④ |
C.①③④ | D.①②④ |
您最近一年使用:0次
2022-05-12更新
|
3217次组卷
|
8卷引用:辽宁省沈阳市第二中学2021-2022学年高一下学期6月月考数学试题
辽宁省沈阳市第二中学2021-2022学年高一下学期6月月考数学试题北京市海淀区2022届高三二模数学试题湖北省武汉市第四十九中学2022-2023学年高二上学期开学检测数学试题北京市第一七一中学2022-2023学年高二上学期期中调研数学试题北京市第八十中学2022-2023学年高二上学期适应性考试数学试题北京卷专题19B空间向量与立体几何(选择填空题)(已下线)专题1.10 空间向量的应用-重难点题型检测-2022-2023学年高二数学举一反三系列(人教A版2019选择性必修第一册)湖南省邵阳市新邵县第三中学2023-2024学年高二上学期期中数学试题
名校
解题方法
9 . 在四棱锥
中,底面
是矩形,
底面
,且
,
,则
与底面
所成角的正切值为( )
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829f9180ddd9aa1a0ee0dc520f4e0b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0655123b9076f6d5555eb624cdd0ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.![]() | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-10更新
|
1222次组卷
|
5卷引用:江苏省连云港高级中学2021-2022学年高一下学期第二次阶段测试数学试题
名校
解题方法
10 . 在正方体
中,设直线
与直线AD所成的角为
,直线
与平面
所成的角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9fcaa804011c37873b03ee284504fe.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-08更新
|
923次组卷
|
5卷引用:山东省德州市第一中学2022-2023学年高二上学期10月月考数学试题
山东省德州市第一中学2022-2023学年高二上学期10月月考数学试题江苏省常州市横林高级中学2021—2022学年高二下学期5月阶段调研数学试题山东省滨州市2022届高三二模考试数学试题(已下线)期末押题预测卷03-2021-2022学年高一数学下学期期末必考题型归纳及过关测试(人教A版2019)(已下线)微专题15 轻松搞定线面角问题