如图,在直三棱柱
(侧棱与底面垂直的棱柱称为直棱柱)中,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/3/84919a6a-b595-4bcc-8e34-e4e5414e711a.png?resizew=165)
(1)求证:
平面
;
(2)求直线
和平面
所成的角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd8f940b796af67206b3f9dd410a407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8e9ec412ea0355e4e5cd06c60e5fee.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/3/84919a6a-b595-4bcc-8e34-e4e5414e711a.png?resizew=165)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e04a28a7f47d499eaf7451d5a6c3872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
更新时间:2017-11-11 23:44:21
|
相似题推荐
解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐1】如图,四棱锥
,
,
,
,
为等边三角形,平面
平面ABCD,Q为PB中点.
![](https://img.xkw.com/dksih/QBM/2022/1/26/2902665447546880/2916946144174080/STEM/036840c5-3b4b-4989-9b05-ee4baa844353.png?resizew=182)
(1)求证:平面
平面PBC;
(2)求平面PBC与平面PAD所成二面角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbe4cdd2c154bd9a8073b0d4cecb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2d5ab801f2a84b78139b0ea2c5032b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://img.xkw.com/dksih/QBM/2022/1/26/2902665447546880/2916946144174080/STEM/036840c5-3b4b-4989-9b05-ee4baa844353.png?resizew=182)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a0d90148b758fffc6105bc59882f0c.png)
(2)求平面PBC与平面PAD所成二面角的正弦值.
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解答题-证明题
|
适中
(0.65)
解题方法
【推荐2】如图,在四棱锥
中,
平面
,
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2020/5/8/2458327508344832/2459107430309888/STEM/c531937477ac41498ba642fd9c8f3823.png?resizew=177)
(1)求证:
平面
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf69a76729f20fa0c14fa035a693954f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2020/5/8/2458327508344832/2459107430309888/STEM/c531937477ac41498ba642fd9c8f3823.png?resizew=177)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b183492677d0457b8701c53d9fa1414.png)
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解答题-问答题
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适中
(0.65)
【推荐1】在四棱锥
中,
,
,点M是线段AB上的一点,且
.
(1)证明:平面
平面ABCD;
(2)求直线CM与平面PCD所成角的正弦值.
![](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/c3b9de901d0f9d52e1c84d0b00cb1f48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c163006d701b485792544943cfb31003.png)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
(2)求直线CM与平面PCD所成角的正弦值.
![](https://img.xkw.com/dksih/QBM/2017/12/12/1836956311912448/1843359550226432/STEM/7c5220d643fd417e976c900bbaceae93.png?resizew=216)
您最近一年使用:0次
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(0.65)
名校
【推荐2】如图,已知
平面ABC,
,
,
,
,
,点
和
分别为
和
的中点.
平面
;
(2)求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460affeeace976471099f4385663c979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4f0c1c9cca0555906d8a53e1a6803d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133760237c0ccf2d6a83786925b6d23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab527e1b5f124429b532804ef3f870f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4eaac4ba87386eca79a4f8b5d99ec38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7f072f0834ebdf155abc5dcc9c8d99.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7f072f0834ebdf155abc5dcc9c8d99.png)
您最近一年使用:0次