空间中到一个三角形的三个顶点距离相等的点组成的集合是什么图形?
21-22高二·全国·课后作业 查看更多[2]
更新时间:2022-03-01 11:09:23
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【知识点】 线面垂直证明线线垂直
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解答题-问答题
|
较易
(0.85)
解题方法
【推荐1】如图,在直三棱柱
中,E为
的中点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/29/e6c76b30-001d-4b35-9a97-d063cc89ae1d.png?resizew=200)
证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07a1f4c2152fa069545e5a8ce987992.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/29/e6c76b30-001d-4b35-9a97-d063cc89ae1d.png?resizew=200)
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
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解答题-证明题
|
较易
(0.85)
解题方法
【推荐2】如图,在三棱锥
中,
,
,
,
为
的中点,
为
上一点,且
平面
,
.
![](https://img.xkw.com/dksih/QBM/2021/6/27/2752289381244928/2793148373901312/STEM/48d76f69-b60e-41b9-ae98-f7423dcce6ab.png?resizew=247)
求证:(1)直线
平面
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb96e0331eebe80ed1ff610faf531fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba2bc6cf8425d24526f14802df8cf5a.png)
![](https://img.xkw.com/dksih/QBM/2021/6/27/2752289381244928/2793148373901312/STEM/48d76f69-b60e-41b9-ae98-f7423dcce6ab.png?resizew=247)
求证:(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fdb2b9d6a4a54ed1328c5b3adcf7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ce50ba5e349425274f05d46d120a74.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7ebf74ae4daefad4350f9d1103a891.png)
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解答题-证明题
|
较易
(0.85)
解题方法
【推荐3】如图,在斜三棱柱
中,侧面
是菱形,
与
交于点O,E是棱
上一点,且
平面
.
![](https://img.xkw.com/dksih/QBM/2017/3/15/1644570517929984/1649114046242816/STEM/1698d9e74e79470bb6f2ac9988a94c94.png?resizew=212)
(1)求证:E是
的中点;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af142a6050b54e8b5777a085d4597481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://img.xkw.com/dksih/QBM/2017/3/15/1644570517929984/1649114046242816/STEM/1698d9e74e79470bb6f2ac9988a94c94.png?resizew=212)
(1)求证:E是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1515a445310d259a080d02e16c2e58e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619174cab53737ab3547ec3970f42575.png)
您最近一年使用:0次