名校
解题方法
1 . 如图,四棱锥
的底面
为矩形,且
,
,
,
,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/15/fce86861-cc22-4a89-b4e1-4f877e6428e8.png?resizew=182)
(1)平面
与平面
是否垂直?并说明理由;
(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/1cbe8961cca9440ea334ee049d109146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7619c71796c16a0e81cbb03ba0cfabb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142b5bb5452fa06ab3d0d556ae1b9088.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/15/fce86861-cc22-4a89-b4e1-4f877e6428e8.png?resizew=182)
(1)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2 . 如图,已知四棱锥
的底面ABCD为正方形,
平面ABCD,E、F分别是BC,PC的中点,
,.
(1)求证:
平面
;
(2)求二面角
的大小.
![](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/bb35df1518ffc12d0ed7146f4111bcad.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40df8e474334faad849abb7cc6bbd12c.png)
![](https://img.xkw.com/dksih/QBM/2012/7/2/1570909508829184/1570909514047488/STEM/d44eba5542274873ae005e779241dfc0.png?resizew=189)
您最近一年使用:0次
2016-12-01更新
|
1744次组卷
|
11卷引用:内蒙古北方重工业集团有限公司第三中学2020届高三下学期第四次模拟考试数学(理)试题
内蒙古北方重工业集团有限公司第三中学2020届高三下学期第四次模拟考试数学(理)试题内蒙古包头市北重三中2020届高三高考数学(理科)四模试题(已下线)2012届上海市崇明县高三高考模拟考试二模理科数学试卷广西南宁市2018-2019学年高二下学期“4+ N”高中联合体期末数学(理)试题2020届北京市怀柔区高三一模数学试题2020届北京怀柔区高三下学期适应性练习数学试题(已下线)专题19 立体几何综合-2020年高考数学(理)母题题源解密(全国Ⅲ专版)(已下线)专题16 立体几何-2020年高考数学母题题源解密(北京专版)福建省莆田锦江中学2020-2021学年高二上学期期末考试数学试题北京市第一七一中学2020—2021学年高二数学3月月考试题北京市第一七一中学2023-2024学年高二下学期3月月考数学试题
2012·内蒙古呼伦贝尔·三模
3 . 如图,在多面体
中,
平面
,
,且
是边长为2的等边三角形,
与平面
所成角的正弦值为
.
(Ⅰ)在线段
上存在一点F,使得
面
,试确定F的位置;
(Ⅱ)求二面角
的平面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6723f8b9d907981aa735cd96386bee36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd244dd270528347a22d8101ac73726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0329345d82ee7f0d54ec876103d34733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24de78aee4803a34649c350011a34e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb511e0a5d9918d382a1b811e290930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3473cee70a0978b5c8b022ca3f885200.png)
(Ⅰ)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce97548f7f4fc80db4ea3fc9a975aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc0de4b875e8b4b67dc4c395d62d7e8.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82007f20c19f7d6686e82bede59a2adf.png)
![](https://img.xkw.com/dksih/QBM/2012/2/28/1570780379570176/1570780384952320/STEM/5533756355764800a74a1b49a0b4566d.png?resizew=204)
您最近一年使用:0次
12-13高二上·内蒙古包头·期末
4 . 如图,在三棱柱
中,底面
是边长为2的正三角形,侧棱长为3,且侧棱
面
,点
是
的中点.
(1) 求证:
;
(2)求证:
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace4ac6d80ef00952266d165a77a4630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede6a60cad0e0b58e1549fda6e085719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326a3339175592bd1e793a9054d57fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
(1) 求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83e7d3d6f189638bcc3a82c3d86d869.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02a38eb88371de6dee210a3da3ca03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace4ac6d80ef00952266d165a77a4630.png)
![](https://img.xkw.com/dksih/QBM/2012/2/8/1570723062833152/1570723068248064/STEM/36809ac25ff3490aa9f376c738e35da6.png?resizew=184)
您最近一年使用:0次
12-13高二上·内蒙古包头·期末
解题方法
5 . 如图所示,
是⊙O的直径,C是圆周上不同于A、B的点,PA垂直于⊙O所在平面,
于E,
于F,因此___ ⊥平面
(请填图上的一条直线)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfbaf73297240eb116f22489519895a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f392902d611863c6908a48e696e7bd8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://img.xkw.com/dksih/QBM/2012/2/8/1570723062833152/1570723068166144/STEM/29d74c4c-c862-4a13-9bdf-eef77ebd6e6c.png?resizew=180)
您最近一年使用:0次
12-13高二上·内蒙古包头·期末
6 . 如图,已知平行四边形
和矩形
所在的平面互相垂直,
,
,
,
.
(1)求证:
;
(2)求二面角
的余弦值;
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4b93d7abcfc4c3df48f03aa969c17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a58a622e2b1a239f2f96aa1501e9799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f414cce1427646590a7f7144efe2e26.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b87b3be10408261827291574434d8e.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b123303738a595ec0126beb0fa64a8.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128c69eb81dae89c6989d06d20925ad2.png)
![](https://img.xkw.com/dksih/QBM/2012/2/8/1570722893307904/1570722898714624/STEM/4ea0f292-c77a-4aae-8d1f-9ab631ca715a.png?resizew=308)
您最近一年使用:0次
12-13高三上·内蒙古包头·期末
名校
7 . 如图,在四棱锥
中,底面
是矩形.已知
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/4e87b891-ce9b-4644-8f58-d34f957c2e71.png?resizew=163)
(1)证明:
平面
;
(2)求二面角
的正切值.
![](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/f4fefd50542d5a7227af74bfd775fef6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/4e87b891-ce9b-4644-8f58-d34f957c2e71.png?resizew=163)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053af8641980763a7f0e77beefe0712d.png)
您最近一年使用:0次
2016-12-01更新
|
846次组卷
|
3卷引用:2012届内蒙古包头三十三中高三上学期期末理科数学试卷
(已下线)2012届内蒙古包头三十三中高三上学期期末理科数学试卷江苏省南京航空航天大学附中2019-2020年高一下学期阶段性调研(三)数学试题2024届高三新高考改革数学适应性练习(6)(九省联考题型)
12-13高三上·内蒙古包头·期末
名校
解题方法
8 . 如图,在四棱锥
中,
平面
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2012/2/8/1570722618613760/1570722624110592/STEM/4e092ae94ab34d3193e2d9ce11988a1c.png?resizew=176)
(1)求证:
;
(2)求多面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.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/0d838b8b79ef6485fe90ff852520a0d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929d467300252d809d8c88e4885bc7b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d31600cba2d5256c7e78b6122d6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbe4cdd2c154bd9a8073b0d4cecb8a.png)
![](https://img.xkw.com/dksih/QBM/2012/2/8/1570722618613760/1570722624110592/STEM/4e092ae94ab34d3193e2d9ce11988a1c.png?resizew=176)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307d38cc7012c328f1f22aa793fe76d7.png)
(2)求多面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf9718967af7a01c5b4866ea6f73bbb.png)
您最近一年使用:0次
2016-12-01更新
|
675次组卷
|
4卷引用:2012届内蒙古包头三十三中高三上学期期末文科数学试卷
(已下线)2012届内蒙古包头三十三中高三上学期期末文科数学试卷广东省汕头市达濠华侨中学2017-2018学年高二上学期阶段考试(二)数学文试题广东省汕头市达濠华桥中学、东厦中学2017-2018学年高二上学期阶段联考(二)数学(文)试题广东省汕头市东厦中学2017-2018学年高二上学期第二次段考文科数学试题
9 . 如图,直三棱柱ABC—A1B1C1中,∠BAC=90°,AB=BB1=1,直线B1C与平面ABC成30°角,求二面角B-B1C-A的正弦值.
![](https://img.xkw.com/dksih/QBM/2012/1/11/1570684584329216/1570684589850624/STEM/c908ec7b7c5e400388ceded38ce0b431.png?resizew=151)
![](https://img.xkw.com/dksih/QBM/2012/1/11/1570684584329216/1570684589850624/STEM/c908ec7b7c5e400388ceded38ce0b431.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
您最近一年使用:0次
10-11高二下·甘肃·阶段练习
名校
10 . 已知在三棱锥S-ABC中,∠ACB=
,又SA⊥平面ABC,AD⊥SC于D,求证:AD⊥平面SBC.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/12/a32717dd-bc8e-4ed7-aa62-ac0c144eb870.png?resizew=147)
您最近一年使用:0次
2016-12-01更新
|
1612次组卷
|
16卷引用:2012-2013学年内蒙古通辽甘旗卡二中高一下学期期中考试文科数学卷
(已下线)2012-2013学年内蒙古通辽甘旗卡二中高一下学期期中考试文科数学卷(已下线)2010-2011年甘肃省威武五中高二3月月考数学试卷(已下线)2012届广东省肇庆市封开县南丰中学高三数学复习必修2立体几何部分试卷(已下线)2011-2012学年安徽省桐城十中高一上学期期末考试数学试卷(已下线)2011-2012学年福建省莆田十八中高一上学期期末考试数学试卷A人教A版2017-2018学年必修二第2章 章末综合测评1数学试题山西省临汾市侯马市502学校2017-2018学年高二上学期期中考试数学试题(已下线)模块综合检测(B)-2018-2019版数学创新设计课堂讲义同步系列(苏教版必修2)陕西省延安市黄陵县黄陵中学高新部2018-2019学年高一下学期期末数学试题安徽省六安市新安中学2020-2021学年高二上学期期中数学(文)试题安徽省六安市新安中学2020-2021学年高二(普通班)上学期期中数学(理)试题青海省西宁市海湖中学2022-2023学年高二上学期期中考试数学试题第六章 立体几何初步单元测试——2021-2022学年高一下学期数学北师大版(2019)必修第二册人教B版(2019) 必修第四册 北京名校同步练习册 第十一章 立体几何初步 11.4 空间中的垂直关系 11.4.1 直线与平面垂直第十一章 立体几何初步 A卷 基础夯实单元达标测试卷辽宁省阜新市第二高级中学2022-2023学年高一下学期期末考试数学试卷