名校
1 . 如图所示,二面角
为
,
是棱
上的两点,
分别在半平面内
,且
,
,
,
,
,则
的长______ .
![](https://img.xkw.com/dksih/QBM/2019/3/26/2169054127112192/2170394739605504/STEM/5df431a791a94542945db47ba30ddd12.png?resizew=246)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c638fb895acd987140d0ca6bef097499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0a2d7d40a6c0bf1fddb802db381689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71e6ea7333dbc78d0a7b9bc3892f940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2019/3/26/2169054127112192/2170394739605504/STEM/5df431a791a94542945db47ba30ddd12.png?resizew=246)
您最近一年使用:0次
2019-03-28更新
|
2358次组卷
|
7卷引用:江西省南昌市南昌外国语学校2019-2020学年高二下学期立体几何月考数学试题
11-12高二上·江西宜春·阶段练习
2 . 如图,已知向量
,可构成空间向量的一个基底,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd4dceb16009db466f96b2d2c1b299d8.png)
,在向量已有的运算法则的基础上,新定义一种运算
,显然
的结果仍为一向量,记作
.
![](https://img.xkw.com/dksih/QBM/2011/12/14/1570613901074432/1570613906800640/STEM/68a97dfc-0465-4c43-b0f3-3e1f2b0da236.png?resizew=173)
(1)求证:向量
为平面
的法向量;
(2)求证:以
为边的平行四边形
的面积等于
;
(3)将四边形
按向量
平移,得到一个平行六面体
,试判断平行六面体的体积
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f54d5e324c4a3d08481cbf26e7f361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd4dceb16009db466f96b2d2c1b299d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0fc29483e99ae14302fbf12964a9de6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8e4b39343d2c1557a4210aa4f757bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6c13f0f2b3b3ef5981d7fa3ff7f6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fcc07589519bc2dfdc579585998323.png)
![](https://img.xkw.com/dksih/QBM/2011/12/14/1570613901074432/1570613906800640/STEM/68a97dfc-0465-4c43-b0f3-3e1f2b0da236.png?resizew=173)
(1)求证:向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fcc07589519bc2dfdc579585998323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
(2)求证:以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d071d008cdc313f6ed16a602f8a9669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b76ac232477ac6d4b0a36eded969d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bdc808dfcabe5199b3f3f98594b9b3.png)
(3)将四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b76ac232477ac6d4b0a36eded969d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebca14060caa173dd7c922c560689064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89ef3197505169e99f933fab8ff7b83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcee40a45579d8c52db09dcd330d31c.png)
您最近一年使用:0次