名校
解题方法
1 . 如图,在正方体
中
,
分别是棱
的中点,设
是线段
上一动点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/8/137c6978-dfd3-48cf-b91f-e4f88373c934.png?resizew=170)
(1)证明:
//平面
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e86e3991200297ad172455e5ea93f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/8/137c6978-dfd3-48cf-b91f-e4f88373c934.png?resizew=170)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05479ce59da01ea9c5bef3f20efadb41.png)
您最近一年使用:0次
2023-05-05更新
|
1384次组卷
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3卷引用:内蒙古自治区巴彦淖尔市衡越实验中学2022-2023学年高一下学期期末数学试题
2 . 如图,直三棱柱
中,
,
,
,
分别
为
,
的中点.
(Ⅰ)求证:
//平面
;
(Ⅱ)线段
上是否存在点
,使
平面
?说明理由.
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/c502354ef72049848965afbf6b5e7511.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/466465da7d3e443da8eeac80fe0cb9bb.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/f32a199ada814c88821f4860cc065941.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/bb84a70e75b741c8bc92aea7689d553f.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/4d652e3323124f88aa2cb8dbaae6394e.png)
为
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/d3637c504c4b4e81a35ca494a075f50f.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/cbaf83ece9944f39b62f936c9d630255.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/1de35d3f4ae944b984cb34df13149c36.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/f738b1a2ca684e22bea2c68644c16659.png)
(Ⅱ)线段
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/a296a16b9d684c38a93cca06f5a76277.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/8d156f491bbd48c38cc8914f96b6a34d.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/367fd280dcb54778b770604665f2c4a8.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/e45019b8e1534c43a90d0ea68b0347ca.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572576116867072/1572576122978304/STEM/f9247b2f4d414a40aa9afc8a62248e5d.png)
您最近一年使用:0次