2019高三·浙江·阶段练习
1 . 在三棱柱
中,底面
是等腰三角形,且
,侧面
是菱形,
,平面
平面
,点
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/835255cf-40aa-452c-a1ec-7f7c5a0ecc73.png?resizew=159)
(1)求证:
;
(2)求直线
与平面
所成角的正弦值.
![](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/af260e0d98c95d1e092dc4c6d348e3ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064a04589ae680482d23c3b08f820917.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a2e10a5aebe40a9018d5ee3ade7af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb49d869110f27140f5c1934143db2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/835255cf-40aa-452c-a1ec-7f7c5a0ecc73.png?resizew=159)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f9940ec3658a40cb80445ff863fe3a.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893fa5f7ababd4524411a054a7362ae3.png)
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2020-09-02更新
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577次组卷
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5卷引用:浙江名校新高考研究联盟(Z20联盟)2020届高三第一次联考数学试题
(已下线)浙江名校新高考研究联盟(Z20联盟)2020届高三第一次联考数学试题浙江省名校联盟2019-2020学年高三上学期第一次联考数学试题2019年浙江省名校新高考研究联盟(Z20联盟)高三上学期第一次联考数学试题(已下线)专题19 立体几何综合-2020年高考数学母题题源全揭秘(浙江专版)(已下线)第34讲 空间中的垂直关系-2021年新高考数学一轮专题复习(新高考专版)
名校
2 . 如图,空间四边形
中,
是正三角形,
是直角三角形,点
、
分别是
、
的中点,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/8414ef27-32dd-4547-b35e-ffd5e5685b84.png?resizew=155)
(1)求证:
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ecb138a844ef11bb3214cff0a475c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5fc4ad65b723b6a8da4c8dac154e6e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/8414ef27-32dd-4547-b35e-ffd5e5685b84.png?resizew=155)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa3c61d6c19e187b4b824b6f5610cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
您最近一年使用:0次
2020-04-06更新
|
1079次组卷
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5卷引用:浙江省之江教育评价联盟2019-2020学年高三第二次联考数学试题
浙江省之江教育评价联盟2019-2020学年高三第二次联考数学试题(已下线)专题18 立体几何综合(解答题)-冲刺2020高考跳出题海之高三数学模拟试题精中选萃(浙江专版)(已下线)考点23 运用空间向量解决立体几何问题-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)浙江省温州市乐清市知临中学2019-2020学年高一下学期期末质量检测数学试题(已下线)微专题15 轻松搞定线面角问题
3 . 如图,在四棱锥
中,底面
为平行四边形,
平面
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a36af2c211815e1009717cf434b3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f9919585ed5da21092657f37796d6e.png)
在棱
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/0d16635e-3daa-4e9e-b719-e5757862027b.png?resizew=172)
(I)当
时,求证
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e516d053caeaf33f745a504206660848.png)
(II)当二面角
的大小为
时,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a36af2c211815e1009717cf434b3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f9919585ed5da21092657f37796d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0beea9afd61e38e49eb3cd46b5eb9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/0d16635e-3daa-4e9e-b719-e5757862027b.png?resizew=172)
(I)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1d7359f9f2c88a873f815e36b3444e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb2e071d4e01107dcf7d95cbb86b415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e516d053caeaf33f745a504206660848.png)
(II)当二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133390f64e97ff96916626e9ca7b3dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
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2016-11-30更新
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5卷引用:2010~2011学年浙江省杭州二中高三6月考前冲刺卷数学理
(已下线)2010~2011学年浙江省杭州二中高三6月考前冲刺卷数学理(已下线)2012届陕西省五校高三第三次联考理科数学(已下线)2012-2013学年河北省正定中学高二第三次考试数学试卷重庆市沙坪坝区第七中学校2019-2020学年高二上学期期中数学试题河北省唐山市开滦二中2020-2021学年高二上学期期中数学试题