如图,在直三棱柱
中,E,F分别是
,
的中点,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/09204950-d475-4ac9-97b9-ae41d2f78b1d.png?resizew=141)
2023高三·全国·专题练习 查看更多[1]
(已下线)7.1 空间几何中的平行(精练)
更新时间:2022-08-20 19:16:59
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【知识点】 证明线面平行
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【推荐1】如图,在三棱锥V-ABC中,平面VAB⊥平面ABC,△VAB为等边三角形,AC⊥BC且AC=BC,O,M分别为AB,VA的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/832c95c1-48a8-42c4-b47c-c3aa8f42be73.png?resizew=119)
(1)求证:VB∥平面MOC;
(2)求证:平面MOC⊥平面VAB;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/832c95c1-48a8-42c4-b47c-c3aa8f42be73.png?resizew=119)
(1)求证:VB∥平面MOC;
(2)求证:平面MOC⊥平面VAB;
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【推荐2】如图,在三棱柱
中,侧面
为正方形,平面
平面
,
,M,N分别为
,AC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/92aaa495-4659-4e6b-8b19-fb30bb71bfae.png?resizew=182)
(1)求证:
平面
;
(2)若
,求直线AB与平面BMN所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eff0db05826cbff651faf0144904b32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/92aaa495-4659-4e6b-8b19-fb30bb71bfae.png?resizew=182)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1be642ddd61c3ad26bcbe2dc42e3512.png)
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