1 . 已知三棱锥
,PA,PB,PC的长分别为1,2,3,且PA,PB,PC两两夹角均为60°,G是三棱锥
的重心,即
,过点G作平面,与直线PA,PB,PC分别相交于D,E,F三点,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdee64cdeccffd2bcd980b0d18aa0f9.png)
______ ,PG的长度为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a954bcb09ab00779257bd6184390dea7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7284ce20258f87ea183a3a4566db5bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b7f69337b2ef08c89f7fb8bbe10594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2a84deb55c137cacab8dabd60eb9d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdee64cdeccffd2bcd980b0d18aa0f9.png)
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2023-10-12更新
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2卷引用:福建省福州十五中、格致鼓山中学、教院二附中、福州铜盘中学、福州十中2023-2024学年高二上学期期中联考数学试题