18-19高三上·上海·期中
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1 . 定义向量的外积:
叫做向量
与
的外积,它是一个向量,满足下列两个条件:
(1)
,
,且
,
和
构成右手系(即三个向量两两垂直,且三个向量的方向依次与拇指、食指、中指的指向一致);
(2)
的模
(
表示向量
、
的夹角);
如图,在正方体
,有以下四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/58c53ce7-eff6-4b61-ab7f-504b979c0a88.png?resizew=143)
①
与
方向相反;
②
;
③
与正方体表面积的数值相等;
④
与正方体体积的数值相等.
这四个结论中,正确的结论有个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f9924630c2d61af394ff7464e842fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb2eb0f56b8b2259015bfc21efae0ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bedeb46904acda91f92295dc8ff1323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f9924630c2d61af394ff7464e842fd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f9924630c2d61af394ff7464e842fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42a654bf8a50c7041b123109d28bd54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7166dfb77adcc150f8cf7688e53fa876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
如图,在正方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/58c53ce7-eff6-4b61-ab7f-504b979c0a88.png?resizew=143)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b1f9ed57243ed8b99f72301eaaad15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6361249877a88f60d4b3bb71ef7b5517.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200833e4ac25379efc09da3e2641c2f4.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296fe8642d20cfbc7aaec15e01a03b4c.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f750f7bf53bca76deb86d9399e08e010.png)
这四个结论中,正确的结论有个
A.4 | B.3 | C.2 | D.1 |
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2 . 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)
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2019-03-28更新
|
2358次组卷
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7卷引用:【校级联考】湖北省宜昌市(宜都二中、东湖高中)2019届高三12月联考数学(理)试题
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3 . 已知P为空间中任意一点,A、B、C、D四点满足任意三点均不共线,但四点共面,且
,则实数x的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03db0ba45a59e9d4296169abd981127.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2459次组卷
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15卷引用:2017-2018学年黑龙江省黑河市孙吴一中高二 (上)期中数学试卷(理科)
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