名校
解题方法
1 . 如图,在直三棱柱
中,
,
,
为
的中点,
在
上且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/b157c9ce-e116-4e48-a1b7-ea78ae079e27.png?resizew=162)
(1)求证:平面
⊥平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836454922ab97fd8e2603eb05d19eed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c463237282ea0b1de74061768775b3e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39be02b5846e2c736810e8fca44b70e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5355da4203567ad145f6fabd226405a0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/b157c9ce-e116-4e48-a1b7-ea78ae079e27.png?resizew=162)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc775691cd03e1abed66100c942eb3a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36838a7cc38c40d89b50a5e3b34d586e.png)
您最近一年使用:0次
2021-09-16更新
|
493次组卷
|
3卷引用:重庆市合川实验中学2020-2021学年高二下学期开学考试数学试题
名校
解题方法
2 . 如图,在棱长为2的正方体ABCD-A1B1C1D1中,P,Q分别为棱BC,CC1的中点,则以下四个结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2021/1/26/2644632306155520/2646537928736768/STEM/adcf81b6cb9f4f62bfb8dc0816870119.png?resizew=159)
![](https://img.xkw.com/dksih/QBM/2021/1/26/2644632306155520/2646537928736768/STEM/adcf81b6cb9f4f62bfb8dc0816870119.png?resizew=159)
A.![]() |
B.![]() |
C.直线B1Q与AD1所成角的余弦值为![]() |
D.Q到平面AB1P的距离为![]() |
您最近一年使用:0次
2021-01-29更新
|
668次组卷
|
7卷引用:重庆市合川实验中学2020-2021学年高二下学期开学考试数学试题
重庆市合川实验中学2020-2021学年高二下学期开学考试数学试题广东省深圳市光明区2020-2021学年高二上学期期末数学试题(已下线)卷13 选择性必修第一册高二上期中考试 总复习检测4(中)-2021-2022学年高二数学单元卷模拟(易中难)(2019人教A版选择性必修第一册+第二册)福建省福州市连江尚德中学等六校2021-2022学年高二上学期期中考数学试题安徽省合肥市六校联盟(七中、九中、十中等)2021-2022学年高二上学期期末联考数学试题重庆市清华中学2021-2022学年高二上学期第二次月考数学试题河北省保定市部分高中2023-2024学年高二上学期10月月考数学试题
名校
解题方法
3 . 如图,点P是菱形ABCD所在平面外一点,且
平面ABCD,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/24cb8be5-10a8-4bd7-87c7-33f06a60d6c9.png?resizew=135)
(1)求证:平面
平面PCE;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202bdcbdc02deb43a861c501afafa55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9e1636ee301839f397198139b72e5b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/24cb8be5-10a8-4bd7-87c7-33f06a60d6c9.png?resizew=135)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a67a4e9289c99c6ea017e928120988a.png)
您最近一年使用:0次
2020-02-21更新
|
332次组卷
|
2卷引用:2019届重庆市合川瑞山中学高三下学期模拟训练(理)数学试题
名校
4 . 如图,在多面体
中,四边形
为矩形,
,
均为等边三角形,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/eeeb1d7a-c216-4d68-b6fd-1e6e1da4f04f.png?resizew=209)
(1)过
作截面与线段
交于点
,使得
平面
,试确定点
的位置,并予以证明;
(2)在(1)的条件下,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00d05c60999eff91345a545fb57e9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058f36d315245b63a811d5c6f348c17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7437ea643773900c3381003569e306a1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/eeeb1d7a-c216-4d68-b6fd-1e6e1da4f04f.png?resizew=209)
(1)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735056c174e8dd7906257a2a50a962a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d46554105150391e671609fc6348a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf581b4f42a25087f7eee23a7d66b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(2)在(1)的条件下,求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
您最近一年使用:0次
2020-02-21更新
|
263次组卷
|
5卷引用:2019届重庆市合川瑞山中学高三下学期模拟训练(文)数学试题
5 . 如图4,四边形
为正方形,
平面
,
,
于点
,
,交
于点
.
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728dd7fac41e469ff3e1a1dbe59fb50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f392902d611863c6908a48e696e7bd8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd3699fbb7a8ba3f792cceb24719f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0b72906641ed13716cfbce50923282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa3254460ecbacecb3e57c5dce227f4.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9726261c25e7086835912c0d4815d270.png)
您最近一年使用:0次
2016-12-03更新
|
5389次组卷
|
8卷引用:【全国校级联考】重庆市合川区高2018届高三下5月模拟理科数学试题
【全国校级联考】重庆市合川区高2018届高三下5月模拟理科数学试题2014年全国普通高等学校招生统一考试理科数学(广东卷)2016届宁夏石嘴山三中高三上学期期末考试理科数学试卷陕西省师范大学附属中学2017-2018学年高二上学期期中考试数学(理)试题(已下线)专题24 空间向量与空间角的计算-十年(2011-2020)高考真题数学分项陕西省西安市长安区第一中学2024届高三上学期期中数学(理)试题宁夏石嘴山三中2016届高三(上)期末数学试卷(理科)(解析版)(已下线)专题23 立体几何解答题(理科)-2
12-13高二下·重庆·期中
名校
6 . 在如图所示的多面体
中,
平面
,
平面
,
,
.
![](https://img.xkw.com/dksih/QBM/2013/6/13/1571241869262848/1571241874481152/STEM/7bf16474f0734920a70b540ff1b90151.png?resizew=289)
(1)请在线段
上找到一点
,使得直线
平面
,并证明;
(2)求平面
与平面
所成锐二面角的大小;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa3ae891394a1a9834a8cbea5884791.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://img.xkw.com/dksih/QBM/2013/6/13/1571241869262848/1571241874481152/STEM/7bf16474f0734920a70b540ff1b90151.png?resizew=289)
(1)请在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8ccd4181f956f6e0140bf0ab8f0716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
您最近一年使用:0次