在棱长为2的正方体
中,
,
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/22a4197f-3040-40d2-9139-a088be9a2892.png?resizew=159)
(1)证明:
平面
.
(2)求直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/22a4197f-3040-40d2-9139-a088be9a2892.png?resizew=159)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d46554105150391e671609fc6348a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
21-22高二上·广西梧州·期末 查看更多[2]
更新时间:2023-01-03 15:29:56
|
相似题推荐
解答题-证明题
|
较易
(0.85)
名校
解题方法
【推荐1】如图,点P为菱形ABCD所在平面外一点,PA⊥平面ABCD ,点E为PA的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/aeffbcef-be98-4d1f-800d-5437ed4896a7.png?resizew=215)
(1)求证: PC//平面BDE;
(2)求证: BD⊥平面PAC.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/aeffbcef-be98-4d1f-800d-5437ed4896a7.png?resizew=215)
(1)求证: PC//平面BDE;
(2)求证: BD⊥平面PAC.
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐2】如图,长方体
的底面
是正方形,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/4ebdf3fb-c54e-4136-b469-83e3aa51b2c2.png?resizew=211)
(1)求长方体
外接球的表面积;
(2)若
、
分别为棱
、
上的点,且
,求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2192de8fb2d726ce638e5982b60884.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/4ebdf3fb-c54e-4136-b469-83e3aa51b2c2.png?resizew=211)
(1)求长方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
(2)若
![](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/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0639548c78fbb1afd1c80ad0ace9f2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐1】如图,正四面体ABCD(所有棱长均相等)的棱长为1,E,F,G,H分别是正四面体ABCD中各棱的中点,设
,
,
,试采用向量法解决下列问题:
(1)求
的模长;
(2)求
,
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7a93a1399ff7a2bde342652479241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae92f0c583cc9daf980a8621ad96aef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f111250ea56c59b179cfc7b5db12cd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/12/2ae55861-e7c0-4a16-8bac-8e9b6fec1050.png?resizew=165)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b5a51e65e9b56a9970de33ead263a9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b5a51e65e9b56a9970de33ead263a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21162e18e3c389215ac1a44858d6c5a7.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
解题方法
【推荐2】四面体ABCD体积为6,
,
,
,求异面直线AD与BC的夹角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bf94a9dc6bb407334c27477ce7f982.png)
您最近一年使用:0次