名校
1 . 设
为两条不重合的直线,
为两个不重合的平面,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c974dafd7f992c28eb67787daa6387b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85412e0569fef68744f32f3fc084b9fe.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
2020-10-26更新
|
469次组卷
|
2卷引用:浙江省湖州中学2021-2022学年高一下学期第二次质量检测数学试题
名校
解题方法
2 . 已知四边形
中,
,
,再将
沿着
翻折成三棱锥
的过程中,直线
与平面
所成角均小于直线
与平面
所成角,设二面角
,
的大小分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c055da7b52cc1516fe5e7d7b7e080212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a16dc02090b6e9263555061f14fbc8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5e1441a49e782ff0ef46e776cde06a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a11759485722f714300c7737e2adf5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edd1ac27b9be261e2f35a6fbc23c02a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8220a259f16cbb907b544c4983c0890f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc14778010a33f90902ff17b1ec0ac73.png)
A.![]() | B.![]() |
C.存在![]() | D.![]() |
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名校
3 . 如图所示,在四棱柱
中,底面
是梯形,
,侧面
为菱形,
.
![](https://img.xkw.com/dksih/QBM/2020/8/10/2524927743574016/2527670660644864/STEM/5926af6ed9bc45b29d5195509423c3c6.png?resizew=425)
(1)求证:
;
(2)若
,点D在平面
上的射影恰为线段
的中点,求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a19e74dfd34b87b2f3e4d16c583cb.png)
![](https://img.xkw.com/dksih/QBM/2020/8/10/2524927743574016/2527670660644864/STEM/5926af6ed9bc45b29d5195509423c3c6.png?resizew=425)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b0bfe1e7a956345f7ed58a3b2faa70.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d11340b4efe070df4a9f00744fa8f310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
您最近一年使用:0次
名校
4 . 如图,在四棱锥
中,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380684146999372bf39f6893a30d57e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/e0a2b30f-a7c4-44f4-a37a-f2592c0e3e86.png?resizew=189)
(1)证明:
;
(2)求
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/03121c141fa171d95ec6c0e91ab21889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b218deaa35c7475751c6531ef77491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380684146999372bf39f6893a30d57e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/e0a2b30f-a7c4-44f4-a37a-f2592c0e3e86.png?resizew=189)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5ea309886e947ea7cb4b81716206fd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次
5 . 在四面体
中,
,
,
,点P是棱
上的动点,点Q为棱
的中点,记直线
与直线
所成的夹角为
,直线
与平面
所成的角为
,二面角
的平面角为
,则有( )
![](https://img.xkw.com/dksih/QBM/2020/7/30/2516891955380224/2518007260856320/STEM/2ce50d20-5aab-4cf9-b81a-d496584dcb3d.png?resizew=157)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce519312a849963b376c202c3f9d7cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1c13e2642c7d31216e7aea0980a367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.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/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715cc9ea5e7d80930284ffb117142770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://img.xkw.com/dksih/QBM/2020/7/30/2516891955380224/2518007260856320/STEM/2ce50d20-5aab-4cf9-b81a-d496584dcb3d.png?resizew=157)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-31更新
|
541次组卷
|
2卷引用:浙江省湖州市长兴中学2020-2021学年高二上学期12月月考数学试题
名校
解题方法
6 . 如图,已知三棱锥
,
,
是边长为2的正三角形,
,
,点F为线段AP的中点.
![](https://img.xkw.com/dksih/QBM/2020/7/13/2505227520450560/2507254581518336/STEM/8eacb5b555ea43d1809fb8fcfa780b20.png?resizew=118)
(Ⅰ)证明:
平面ABC;
(Ⅱ)求直线BF与平面PBC所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e4b16c2c6c9bd089da78122e9d2511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b336e518ac4ff04c6c26e4b8a15844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20f08ca44f10e3f184fb0e9b2907921.png)
![](https://img.xkw.com/dksih/QBM/2020/7/13/2505227520450560/2507254581518336/STEM/8eacb5b555ea43d1809fb8fcfa780b20.png?resizew=118)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
(Ⅱ)求直线BF与平面PBC所成角的正弦值.
您最近一年使用:0次
2020-07-16更新
|
875次组卷
|
7卷引用:浙江省湖州市德清县第三中学2020-2021学年高二下学期3月月考数学试题
浙江省湖州市德清县第三中学2020-2021学年高二下学期3月月考数学试题浙江省杭州市2019-2020学年高二下学期期末教学质量检测数学试题浙江省温州中学2019-2020学年高二下学期期末数学试题(已下线)【新东方】杭州新东方高中数学试卷353浙江省温州市龙港市第二高级中学2020-2021学年高三上学期期初测试数学试题(已下线)1.4.2 空间向量的应用(二)(精练)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第一册(人教版A版)广东省揭阳市惠来县第一中学2021-2022学年高二上学期第二次阶段考试数学试题
名校
解题方法
7 . 设
、
是两个不同的平面,m、n是两条不同的直线,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2020-07-02更新
|
535次组卷
|
7卷引用:浙江省湖州市菱湖中学2018-2019学年高三上学期期中数学试题
名校
解题方法
8 . 如图,平面
平面
,且菱形
与菱形
全等,其中
为锐角,
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/5da94bb2-ba8f-4915-849f-f7f059b93269.png?resizew=173)
(1)求证:直线
平面
;
(2)求直线
与平面
的所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9a6db3571fa57bfa2d5e4d44c51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c959568bb6084688efc234bef3f2680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c959568bb6084688efc234bef3f2680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e265894011c2b93ce5a5fa9fab2b9982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/5da94bb2-ba8f-4915-849f-f7f059b93269.png?resizew=173)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc5209fbae831da64963bffce2cc928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
您最近一年使用:0次
解题方法
9 . 在三棱锥
中,
,
,
,则三棱锥
的体积是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f501721e72bc5525f9bfb419140679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b336e518ac4ff04c6c26e4b8a15844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43c2d5aae759fc4db16115c8188ceec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
您最近一年使用:0次
10 . 已知四棱锥
的底面是正方形,侧棱长均相等,E是线段
上的点(不含端点),设直线
与
所成的角为
,直线
与平面
所成的角为
,二面角
的平面角为
,则( )
![](https://img.xkw.com/dksih/QBM/2020/2/6/2393072097476608/2395526058770432/STEM/a5220f00828d4186af8bef483f86db76.png?resizew=251)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f64fa38725c136504f723019a18dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93fa313adc4ac7608ba9449fd755212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f91414bbba4600fce6f12441b670d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8d4017e1a37acb0c8e00508be472b2.png)
![](https://img.xkw.com/dksih/QBM/2020/2/6/2393072097476608/2395526058770432/STEM/a5220f00828d4186af8bef483f86db76.png?resizew=251)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次