如图,在四棱锥
中,底面
为正方形,
底面
,
为
的中点,
为线段
上的点,且
.
![](https://img.xkw.com/dksih/QBM/2020/12/21/2618960346841088/2623408280109056/STEM/4f2b2d7d-6e99-4ea6-876e-c58c2379a978.png)
(1)求证:平面
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cab071ece7d52e42bb7a19fff30872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/678851c61127dd37d837d46fc982d6fd.png)
![](https://img.xkw.com/dksih/QBM/2020/12/21/2618960346841088/2623408280109056/STEM/4f2b2d7d-6e99-4ea6-876e-c58c2379a978.png)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6501f1c913a4ef64957a2f01ab5baa15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
20-21高二上·宁夏银川·阶段练习 查看更多[3]
宁夏贺兰县景博中学2020-2021学年高二上学期第二次月考数学(理)试题山西省大同市平城中学校2020-2021学年高一下学期5月月考数学试题(已下线)2023年高考全国甲卷数学(文)真题变式题16-20
更新时间:2020-12-27 21:20:43
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解答题
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解题方法
【推荐1】如图,在正方体
中,
,求:
![](https://img.xkw.com/dksih/QBM/2023/10/18/3348876851838976/3349910499450880/STEM/468fe6bbeb2e4a7887bf6f51bacf85cc.png?resizew=209)
(1)异面直线
与
所成角的大小;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://img.xkw.com/dksih/QBM/2023/10/18/3348876851838976/3349910499450880/STEM/468fe6bbeb2e4a7887bf6f51bacf85cc.png?resizew=209)
(1)异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
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【推荐2】如图,在三棱锥P-ABC中,PA⊥平面ABC,
,PA=2, AB= AC=4,点D、E、F分别为BC、AB、AC的中点.
(I)求证:EF⊥平面PAD;
(II)求点A到平面PEF的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bd8c13192ca45c16dad5d59b547220.png)
(I)求证:EF⊥平面PAD;
(II)求点A到平面PEF的距离.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/13/69ebd061-52b5-4007-9acc-4b8eb80d41a4.png?resizew=193)
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【推荐1】如图,AB是圆O的直径,点C是圆O上的动点,过动点C的直线SC垂直于圆O所在的平面,D,E分别是SA,SC的中点.
证明:
平面ABC
平面
平面SBC
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fc20fb331b3caeea769b366ee3d7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d817db39541bf3eecc5bdfd3b04991c4.png)
![](https://img.xkw.com/dksih/QBM/2018/12/7/2091540642529280/2092631607427072/STEM/3456c9abfeb8487684c5a731b771906a.png?resizew=163)
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【推荐2】如图所示,在四棱锥
中,
,
,面
面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/37fb4e0c-c0ca-4543-ac36-6eb744828e80.png?resizew=206)
求证:(1)
平面
;
(2)平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9a6db3571fa57bfa2d5e4d44c51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/37fb4e0c-c0ca-4543-ac36-6eb744828e80.png?resizew=206)
求证:(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810ee7bc82b6f452afb3fc18691abc3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
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