解题方法
1 . 如图,在四棱锥P-ABCD中,底面ABCD是边长为2的菱形,
,
为等边三角形,平面
平面ABCD,M,N分别是线段PD和BC的中点.
![](https://img.xkw.com/dksih/QBM/2020/4/26/2449798247702528/2451416645591040/STEM/3777eebb-4434-4dfe-9d26-1d8e42f20f50.png)
(1)求直线CM与平面PAB所成角的正弦值;
(2)求二面角D-AP-B的余弦值;
(3)试判断直线MN与平面PAB的位置关系,并给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a58a622e2b1a239f2f96aa1501e9799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://img.xkw.com/dksih/QBM/2020/4/26/2449798247702528/2451416645591040/STEM/3777eebb-4434-4dfe-9d26-1d8e42f20f50.png)
(1)求直线CM与平面PAB所成角的正弦值;
(2)求二面角D-AP-B的余弦值;
(3)试判断直线MN与平面PAB的位置关系,并给出证明.
您最近一年使用:0次
2 . 如图,在四棱锥
中,等边三角形
所在的平面垂直于底面
,
,
,
是棱
的中点.
(Ⅰ)求证:
平面
;
(Ⅱ)求二面角
的余弦值;
(Ⅲ)判断直线
与平面
的是否平行,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7609a1407f1e965fc9f1235552dcf9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0aeaa0088e1e5971b3f1cc735e5d778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e516bd9fb919bfe3970fd307aa07372d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365822bd3945e6a3e871ca979c84cc12.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63895b9f5f2e711912fa02457bbabe3.png)
(Ⅲ)判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e883f81c66ceef54d2d0556a68ed585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da035673ef0edcfae6b72fb5e5ba34a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/8232c912-ea0f-4b0a-9de3-6cbf26f7b4c0.png?resizew=223)
您最近一年使用:0次
2019-04-14更新
|
323次组卷
|
2卷引用:北京市密云区2019-2020学年高二上学期期末数学试题
14-15高二上·北京西城·期末
名校
3 . 如图,在直三棱柱
中,
,
,
是
中点.
(1)求证:
平面
;
(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/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cbf225d5b011f6a79642a3def3e05db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/8/08e6c7fd-68db-464c-ae50-83ad54986250.png?resizew=144)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5539ee45a836a0646ae7d25825dbbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e935f555e7dd456cbcc0c222b797b66.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9d3704d4fd9611828daee2a6a9844a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e935f555e7dd456cbcc0c222b797b66.png)
您最近一年使用:0次
2016-12-02更新
|
1467次组卷
|
4卷引用:北京市密云县2016-2017学年高二上学期期末数学(理科)试题
北京市密云县2016-2017学年高二上学期期末数学(理科)试题(已下线)2013-2014学年北京市西城区高二第一学期期末理科数学试卷北京市第十五中学2022-2023学年高二上学期期中考试数学试题北京市清华大学附属中学奥森分校2023-2024学年高二上学期期中考试数学试题