如图(1),在梯形
中,
且
,线段
上有一点E,满足
,
,现将
,
分别沿
,
折起,使
,
,得到如图(2)所示的几何体,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4aa43d2e64e857267e706e1f50f5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2632e52de4f858c3e36772b16da0fde3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72e543ab8584eee527a13ce394be7d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88dac2c17c765517c2163ab43bbe1038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e530783dc49238736ed5c1157e6184dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4aa43d2e64e857267e706e1f50f5c5.png)
2023高三·全国·专题练习 查看更多[13]
(已下线)7.1 空间几何中的平行(精讲)(已下线)7.1 空间几何中的平行(精练)(已下线)7.1 空间几何中的平行与垂直(精讲)(已下线)7.1 空间几何中的平行与垂直(精练)(已下线)8.6.2直线与平面垂直的性质定理(第2课时)(精讲)(1)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)8.6.2 直线与平面垂直(精讲)(已下线)专题8.11 空间直线、平面的垂直(一)(重难点题型精讲)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)(已下线)第13讲 8.6.2直线与平面垂直的性质定理 (第2课时)-【帮课堂】(人教A版2019必修第二册)(已下线)专题7.2 空间中的位置关系【十大题型】(已下线)8.6.1直线与平面垂直(已下线)8.6.2 直线与平面垂直-同步题型分类归纳讲与练(人教A版2019必修第二册)(已下线)6.5.1直线与平面垂直-【帮课堂】(北师大版2019必修第二册)(已下线)11.4.1直线与平面垂直-同步精品课堂(人教B版2019必修第四册)
更新时间:2022-08-20 17:18:06
|
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】如图,在四棱锥
中,四边形BCDE为梯形,
,
,平面
平面BCDE,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/8746fd6e-ca47-45b3-811d-90a0646d3982.png?resizew=194)
(1)求证:
平面BCDE;
(2)若
,求平面CAB与平面DAB夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5164a3cc47e266446d49127e2ef10c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b14e543a0b4950752a4a26bec7221c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c182a9d9fd0a7023b710cd671d9468e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec43f7352b3a8c194b4c37485fb4ffd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c51c25b65a37b676ae3c3b71c29f9b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/8746fd6e-ca47-45b3-811d-90a0646d3982.png?resizew=194)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c261256e08b2c73c90c377ef8a4a1dd.png)
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适中
(0.65)
解题方法
【推荐2】如图,四边形
是边长为
的正方形,
平面
,
,
.
为线段
的中点,
与平面
所成角为60°,在线段
上取一点
,使得
.
(1)求证:
平面
;
(2)求多面体
的体积.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/ef43d40c-0bbe-4b60-b9a9-e465af13b083.png?resizew=240)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b664dcf80fed37a8ef4426917b8fb49e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68652f96de3a15c6a482138a446b1703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d1c179a46ce4b8992e79844c4a4caaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ecf708e206ad94698669d022bc01e8.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17622ea6f6f5afd1ad817a557e5889d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
(2)求多面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb477174d2fcfd4cef09b19ef567140.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/ef43d40c-0bbe-4b60-b9a9-e465af13b083.png?resizew=240)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐1】如图,在多面体ABCDE中,
平面ABC,点D到平面ABC的距离为2,
是正三角形,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/23/c8541b38-71be-4e61-878d-76892211478b.png?resizew=157)
(1)证明:
;
(2)求平面ABC与平面BED所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80637f43cf748a2ce0aaf4cd0037749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a40bdd33a32ccb77b3d6bcca295b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7749fd8000dc4b4134ee6e91e3a237.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/23/c8541b38-71be-4e61-878d-76892211478b.png?resizew=157)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31296d2b5bcf4d046a81eab33da4012.png)
(2)求平面ABC与平面BED所成角的正弦值.
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解答题-证明题
|
适中
(0.65)
名校
【推荐2】已知,在四棱锥
中,
底面
,底面
为正方形,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/75b75f3e-f07f-4cc5-8478-b314746c0647.png?resizew=168)
(1)求证:
;
(2)在棱
上是否存在点
,使
?若存在,求BF的长;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee4b29c10915812f832ee29727e74f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/75b75f3e-f07f-4cc5-8478-b314746c0647.png?resizew=168)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3658c9637da0a83d05cccf33bec7e16.png)
(2)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187ed13a7bd532bd39af5e5ad7493a2c.png)
您最近一年使用:0次