已知正三棱柱
,O为
的外心,则异面直线
与OB所成角的大小为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
22-23高一下·天津南开·期末 查看更多[2]
更新时间:2023-06-29 13:01:59
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解题方法
【推荐1】如图,正方体
的棱长为a,那么:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/11/ec1a1d09-3724-4e2c-8203-5fc69ef843cb.png?resizew=135)
(1)哪些棱所在直线与直线
成异面直线?________________________ .
(2)直线
与
所成角的大小为________________________ .
(3)直线
与
所成角的大小为________________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/11/ec1a1d09-3724-4e2c-8203-5fc69ef843cb.png?resizew=135)
(1)哪些棱所在直线与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7d857811cbd619f868d951aa7a0ab8.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7d857811cbd619f868d951aa7a0ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7d857811cbd619f868d951aa7a0ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
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【推荐2】以下角:①异面直线所成角;②直线和平面所成角;③二面角的平面角.可能为钝角的有___ 个.
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【推荐1】
的边BC在平面
内,A在
内的射影是
,设
的面积为2,平面ABC和平面
所成的二面角的大小为45°,则
的面积是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1080295895df074480087279a84d7a2a.png)
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解题方法
【推荐2】在正方体
中,面对角线
与对角面
所成的角为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4cd2b33bd983a9ed6575b9de04a46a.png)
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【推荐1】已知
,
,垂足分别为A,B,且
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,
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e35f3a470885d88519e1a71db4b323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4d7c644adf1763379806644b7729c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b707f5ee4fbb2e637c65fbc6d8ed03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15b82151bff7cc0238d2034a6129f0.png)
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【推荐2】已知四边形
是菱形,
平面
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与平面
的位置关系是__________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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