名校
1 . 如图所示的几何体
中,
和
均为以
为直角顶点的等腰直角三角形,
,
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2020/5/26/2471193277857792/2471708998156288/STEM/671926a565504cf289445e9b734199ea.png?resizew=237)
(1)求证:
;
(2)求二面角
的大小;
(3)设
为线段
上的动点,使得平面
平面
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be89b9d1709d7974a108142c5fa2ccec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099dd87a526391f830ac2a11e7d7ad56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7bd02e0adeae92ba9526261b1baf797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52bbb16f9380dd62d556480a3944be31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66418ef39d3081d89411a4907d8599f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdf241efcd0c8026d188fad5a5ba4e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/2020/5/26/2471193277857792/2471708998156288/STEM/671926a565504cf289445e9b734199ea.png?resizew=237)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5ffe436f8eb53a211abf95baed8ca9.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd548dfcef01e147e4dce25bd384f9b9.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0cf60b84dcb4baf97c39fe659e08a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910043595f4eed0c5b2a2246bec3664c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
您最近一年使用:0次
2020-05-27更新
|
2396次组卷
|
16卷引用:2020届天津市河西区高考一模数学试题
2020届天津市河西区高考一模数学试题山东省新泰市第一中学老校区(新泰中学)2020-2021学年高二上学期第一次月考数学试题山东省潍坊市寿光市现代中学2020-2021学年高二(上)期中数学试题山东省寿光现代中学2020-2021学年高二11月月考数学试题(已下线)考点29 空间向量解决空间直线、平面位置关系-备战2021年新高考数学一轮复习考点一遍过辽宁省大连市红旗高级中学2020-2021学年高二上学期期中数学试题(已下线)专题1.3 空间向量及其运算的坐标表示-2020-2021学年高二数学同步课堂帮帮帮(人教A版2019选择性必修第一册)海南省北京师范大学万宁附属中学2021-2022学年高二上学期第一次月考数学试题天津市南开中学2022-2023学年高三上学期10月阶段性统一练习(一)数学试题广西玉林市博白县第四中学(博白县中学书香校区)2022-2023学年上学期高二9月月考数学试题广东省台山市第一中学2022-2023学年高二上学期期末数学试题(已下线)第01讲 空间向量及其运算(6大考点)-2022-2023学年高二数学考试满分全攻略(人教A版2019选择性必修第一册)广东省深圳市福田区外国语高级中学2023-2024学年高二上学期期中数学试题(已下线)专题01 空间向量与立体几何(5)(已下线)高二数学第一学期期期末押题密卷03卷(已下线)第3章 空间向量及其应用 单元综合检测(难点)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
名校
2 . 如图,三棱锥
中,平面
平面
,
,
,
,
,
,点
是棱
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/97233532-de88-432e-9680-0ca14b88702d.png?resizew=176)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)设点
是线段
的中点,棱
上是否存在点
,使得
平面
?若存在,求
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036de574712cad14bddadf6653c7e714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb96e0331eebe80ed1ff610faf531fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/97233532-de88-432e-9680-0ca14b88702d.png?resizew=176)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2730b513bd3359c3dfe6567e04f5ef9.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46435220a682a6f67d7ac8608be1c7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d53cf3ab15beaf9960569932ad0812.png)
您最近一年使用:0次
名校
3 . 如图,平面
平面
,四边形
与
都是直角梯形,
,
∥![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
,
∥
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/07ff399c-2e81-4eee-99aa-9b3ae41e3cd6.png?resizew=179)
(1)证明:四点
共面;
(2)设
.
①求
与平面
所成角的正弦值;
②求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c674dc5024374f53920947c4cf4baf11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af49d81bca91dc5cc32753ec82e53cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e839ac941e8bf536ff35a12e56c7a400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8743d73f383f4e6baaae4fc07c5b00.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/07ff399c-2e81-4eee-99aa-9b3ae41e3cd6.png?resizew=179)
(1)证明:四点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50d6e29d79a1bd34722833d4c059644f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738a7bc24f39d08ba3752418055e1d1b.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
②求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
您最近一年使用:0次
4 . 已知
,
,
和
为空间中的4个单位向量,且
,则
不可能等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358d896d9eab84c6695ddc25196e6857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7b8925a75bc1ef601edb37dbfb9f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59ca8f14b92276cf540b7a0166c63ae.png)
A.3 | B.![]() | C.4 | D.![]() |
您最近一年使用:0次
2019-01-03更新
|
3253次组卷
|
7卷引用:【校级联考】浙江省金丽衢十二校2019届高三第二次联考数学试题
【校级联考】浙江省金丽衢十二校2019届高三第二次联考数学试题【校级联考】浙江省丽水市四校联考2018-2019学年高二5月阶段性考试数学试题(已下线)1.1 空间向量及其运算-2021-2022学年高二数学尖子生同步培优题典(人教A版2019选择性必修第一册)上海市复兴高级中学2022届高三上学期期中数学试题上海市黄浦区大同中学2022届高三上学期12月月考数学试题(已下线)专题01 空间向量及其运算压轴题(5类题型+过关检测)-【常考压轴题】2023-2024学年高二数学上学期压轴题攻略(人教A版2019选择性必修第一册)四川省雅安市天立学校2022-2023学年高二下学期期中教学质量测试数学(理)试题
2016高二·全国·课后作业
5 . 如图,已知
、
、
、
、
、
、
、
、
为空间的
个点,且
,
,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2016/11/15/1836136229879808/1826268636012544/STEM/2022ebbeb0664162b3f84a7ed49038ac.png?resizew=167)
求证:(1)
、
、
、
四点共面,
、
、
、
四点共面;
(2)
;
(3)
.
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/c8fa5b04e30e48868fe132789b807597.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/3066e7be6d7c4c518443aac35ebc6fc5.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/b91007e2ea5e433e95db20f4365af044.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/97903bb1c17f421d99f9d22a60f06e1a.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/04d375abd23446d49614ae0320e80084.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/b5a2daa15b914c598c2eab346ad7223e.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/33f3cc1423584e0dbcb2758c3e25432d.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/0b593aab85fb4dbcb2ebdf05a19793da.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/855db6b1d0d84981842248c6e4474b0e.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/0dbdef66d115422081bc2e5a32f48d7c.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/847f57351bde4581abef8a8eca1c6630.png?resizew=72)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/c6b86275082f489cbaca3001edb878c6.png?resizew=74)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/cba340111acb4e49b35a90810589fa18.png?resizew=77)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/ae8730bc42424af6af4187c0829e1322.png?resizew=115)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/f1055c0362da4a4fbde3e599db2ebaeb.png?resizew=116)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/3ef175e21b1b4b148b88a747da214799.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/4f3b0d4465694c178a6a044b9be25f3a.png?resizew=42)
![](https://img.xkw.com/dksih/QBM/2016/11/15/1836136229879808/1826268636012544/STEM/2022ebbeb0664162b3f84a7ed49038ac.png?resizew=167)
求证:(1)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/3066e7be6d7c4c518443aac35ebc6fc5.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/b91007e2ea5e433e95db20f4365af044.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/97903bb1c17f421d99f9d22a60f06e1a.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/04d375abd23446d49614ae0320e80084.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/b5a2daa15b914c598c2eab346ad7223e.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/33f3cc1423584e0dbcb2758c3e25432d.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/0b593aab85fb4dbcb2ebdf05a19793da.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/855db6b1d0d84981842248c6e4474b0e.png?resizew=19)
(2)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/EXPLANATION/8fe0f5e54a904f04abfa0fdf835415be.png?resizew=68)
(3)
![](https://img.xkw.com/dksih/QBM/2016/11/29/1826268635201536/1826268636012544/STEM/26aac0e0723242a8984e34736049ce88.png?resizew=76)
您最近一年使用:0次