如图,正方形
所在平面与
所在平面互相垂直,
,设平面
与平面
相交于直线
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/12e3d3c7-c57e-4cb0-a439-78a2e817864a.png?resizew=139)
(1)求
与
所成角的大小;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9681f9d187e18d23f604499a23727daf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b405a122ded2eb0395d5434892ae7b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/12e3d3c7-c57e-4cb0-a439-78a2e817864a.png?resizew=139)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc6db50a9709c3f4d84eee7bdf1250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
更新时间:2021-05-21 15:49:58
|
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】如图,在四棱锥
中,
平面
,
,
,
,
为棱
上的一点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/877e927f-ce9b-475a-9823-6bad332da306.png?resizew=160)
Ⅰ
证明:平面
平面
;
Ⅱ
求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4564baf209de77802d46cda82995c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5408641691fd27f6dd8cf0ab2043ad4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee82a25c3ccc4bd94f3f528ff3e95713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b6705ceaec3a915bd6c973dc5d77ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d260c4df7b0dc180af6980d21f3371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7f9c0cc86f350ea45b2e266c4010c0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/877e927f-ce9b-475a-9823-6bad332da306.png?resizew=160)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43afb53a23a7957c65938137abc39a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a09b53ed83b87e40a88c096693543bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840798a31aba0783f96584e0ad7c0d2e.png)
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解答题-证明题
|
适中
(0.65)
名校
【推荐2】已知,正三角形
, 正方形
,平面
平面
,
为
的中点;
(1)求证:
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3520ee9cc97a075e889e1625dba1157c.png)
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3520ee9cc97a075e889e1625dba1157c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebbb79892c8cb8871a08437acc09bc80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365822bd3945e6a3e871ca979c84cc12.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28fa14d4841ca3f2fe226688c25c8160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3520ee9cc97a075e889e1625dba1157c.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7609a1407f1e965fc9f1235552dcf9e.png)
![](https://img.xkw.com/dksih/QBM/2018/3/12/1900377135415296/1904738845655040/STEM/8049ca1fbdd7418e80a1510cfbc0326e.png?resizew=165)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】图1是由边长为4的正六边形
,矩形
,组成的一个平面图形,将其沿
,
折起得几何体
,使得
,且平面
平面
,如图2.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/779dfc8f-2788-4134-8619-c39f6ba86204.png?resizew=442)
(1)证明:图2中,平面
平面
;
(2)设点M为图2中线段
上一点,且
,若直线
平面
,求图2中的直线
与平面
所成角的正弦值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148bbc00e06ef450a440c8590ceea6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6068867177d196e56c23e078476b7dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c334350df9be155b169fc3784b08532b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad16260099de12b57de1e4e3e44acf53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/779dfc8f-2788-4134-8619-c39f6ba86204.png?resizew=442)
(1)证明:图2中,平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c46daeb77015e09c6044d89451fdba6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ee01e28681b584f85c8875f053b77b.png)
(2)设点M为图2中线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eee73d637e8260733851b10b322b9cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e2fef2c0e49ecae8688ca60802310e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f239fbcc58fc15535db4b5084c4f7253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdd615843adf3e011e5b72f9c608bfa.png)
您最近一年使用:0次
解答题-证明题
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适中
(0.65)
名校
解题方法
【推荐2】如图,在等腰梯形
中,
,
,将
沿着
翻折,使得点
到点
处,且
.
![](https://img.xkw.com/dksih/QBM/2021/5/4/2713714911870976/2785320416092160/STEM/010073c2-a571-46c1-a1ab-3e86801e12a7.png?resizew=530)
(1)求证:平面
平面
;
(2)求二面角
的平面角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852847ba02c2b62abf27e9cc11f596a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ac5396c5ea442e0364b50c1db3d2da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbad7ad1465d1c4c177e3321e6ed12a.png)
![](https://img.xkw.com/dksih/QBM/2021/5/4/2713714911870976/2785320416092160/STEM/010073c2-a571-46c1-a1ab-3e86801e12a7.png?resizew=530)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1095b030f441de5fb223781b00f3dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ec3d90e5f12cd8946d4dc638c1a357.png)
您最近一年使用:0次