已知空间向量
的模长分别为
,且两两夹角均为
.点
为
的重心,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a358fb7503853a68833f9f132757b41a.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe4828b6e9a0d47bb0d292ec930a7521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680e9ef551b325387ab31dca1f893705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551e44d6b13e9eb65dc2c72ca526d4b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6775bea8fabfdc16ca55ceb1e6f8ba4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a358fb7503853a68833f9f132757b41a.png)
21-22高二上·浙江台州·阶段练习 查看更多[7]
浙江省台州市书生中学2021-2022学年高二上学期10月月考数学试题(已下线)1.1空间向量及其运算B卷陕西省铜川市宜君县高级中学2022-2023学年高二上学期第二次月考理科数学试题重庆市璧山来凤中学2023-2024学年高二上学期9月月考数学试题山东省德州市第一中学2023-2024学年高二上学期10月月考数学试题(已下线)专题 01 空间基底及综合应用(2)(已下线)专题 01 空间基底及综合应用(2)
更新时间:2021-10-29 10:31:25
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【知识点】 空间向量数量积的应用
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填空题-单空题
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适中
(0.65)
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解题方法
【推荐1】空间四边形
中,
,
,
,且异面直线
与
成
,则异面直线
与
所成角的大小为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e921f46d90e43f4517c55832b6280f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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填空题-单空题
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适中
(0.65)
【推荐2】已知点
为棱长等于1的正方体
内部一动点,且
,则
的值达到最小时,
与
夹角大小为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e3a5134baeb2bfad7f4376634ec5423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8adc11a53eb55e6e3f4d0c017b237759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d16280392409ce7a93c6aebe8eadfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35888e195dd979cbf020052c98717e6.png)
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