如图所示,
平面
,
,过点
作
的垂线,垂足为点
,过点
作
的垂线,垂足为
,求证:
.以下是证明过程:
要证
,
只需证
平面
,
只需证
(因为
),
只需证
平面
,
只需证 ① (因为
),
只需证
平面
,
只需证 ② (因为
),
由
平面
可知上式成立,
所以
.
把证明过程补充完整①___________ ;②__________ .
能力提升
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046ced38ceae712960aca9cbf395017a.png)
要证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046ced38ceae712960aca9cbf395017a.png)
只需证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6deecf9ccb7b7879455050633219e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
只需证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e40f5583fbfcac922c8ec238c0438452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b73523ef27a2e5f805ae49bd304ba4.png)
只需证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21665d21bbfb04410c78345de1fd15ae.png)
只需证 ① (因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c152ac8535e5e141342fc11529599841.png)
只需证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
只需证 ② (因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046ced38ceae712960aca9cbf395017a.png)
把证明过程补充完整①
能力提升
![](https://img.xkw.com/dksih/QBM/2018/11/27/2084571035803648/2084651543535616/STEM/79fc1473efcd4ba19a1ea2fe30e3c4c7.png?resizew=149)
11-12高二下·福建福州·期中 查看更多[2]
更新时间:2016-12-01 19:04:44
|
【知识点】 高中数学综合库
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