如图,在空间四边形SABC中,AC,BS为其对角线,O为
的重心,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/72f2ce98-68e9-435f-a87b-02be9794ddfc.png?resizew=125)
(1)求证:
;
(2)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/72f2ce98-68e9-435f-a87b-02be9794ddfc.png?resizew=125)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf0edea792798049cd728af69f74e19.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e908deb6f696e9e5598969b88345326.png)
21-22高二上·福建三明·开学考试 查看更多[3]
福建省尤溪第一中学2021-2022学年上学期高二年段核心素养能力测试数学试题(已下线)专题1.2 空间向量及其线性运算-重难点题型检测沪教版(2020) 选修第一册 同步跟踪练习 第3章 3.1 第1课时 空间向量及其线性运算
更新时间:2021-09-09 17:40:43
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【知识点】 空间向量的加减运算
相似题推荐
解答题-问答题
|
较易
(0.85)
【推荐2】如图,在四面体
中,点
在线段
上,且
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2021/9/29/2818571676098560/2821148635578368/STEM/a188b56dc2824275aa37cd30dbbfe0d1.png?resizew=262)
(1)若
,
,
,用向量
,
,
表示向量
;
(2)若四面体
的棱长均为1,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe72d1b634f1e89d8699e605e7d46af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2021/9/29/2818571676098560/2821148635578368/STEM/a188b56dc2824275aa37cd30dbbfe0d1.png?resizew=262)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a9cb32a25c2a8bb99f75633b4cd5ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/049131856ba841523793ee3d83099014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eca8aa7145b2327dbccba46da05bb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd4b9ad667f6da79bc3a5737cbc1eee.png)
(2)若四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcfe64604ee828d439929c94c205c51c.png)
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