名校
1 . 在三棱台
中,
平面ABC,
,且
,
,M为AC的中点,P是CF上一点,且
,
.
平面PBM;
(2)若直线BC与平面PBM的所成角为
,求平面EFM与平面PBM所成夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8783bc74553bf44b61d999a0e4144bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0b72906641ed13716cfbce50923282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6e4a2df58a236c20df5df0d29a466c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2e870c95b1ed54b281f93e683578bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f14839cf7e3ec6e25b60765ca25b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3362a45b72536c714c5107b0ae94f1c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
(2)若直线BC与平面PBM的所成角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
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解题方法
2 . 我国古代数学名著《九章算术》中,称四面都为直角三角形的三棱锥为“鳖臑”.如图,在三棱锥
中,
平面
.
为鳖臑;
(2)若
为
上一点,点
分别为
的中点.平面
与平面
的交线为
.
①证明:直线
平面
;
②判断
与
的位置关系,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a9ddd4df1b46d1802259bc6fab90f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6948549de4c4bed12f199231b9c69c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b938297d03de0a52f3e6a03b67446169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4984ee07d47dbcc4705137cd6d931d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
①证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72221ee5b504d596ff799c0b356aa0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
②判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2024-04-29更新
|
1498次组卷
|
6卷引用:广西来宾市忻城县高级中学2023-2024学年高一下学期5月月考数学试卷
3 . 如图,四棱锥
的底面为菱形,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/31/e44c4ae6-50d9-4c6b-a414-772fbabb2e0a.png?resizew=168)
(1)证明:
;
(2)若
,
,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7898f562dffdf08263bfb0873e0691.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/31/e44c4ae6-50d9-4c6b-a414-772fbabb2e0a.png?resizew=168)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15eae3c2cb4274a947f6a011960934d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bec03e804f0cea1db5cde2aa185056a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e867e5c7ef4da37d8985ce82022060e.png)
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4 . 设
,
是两条不同的直线,
,
是两个不同的平面,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-05-19更新
|
767次组卷
|
7卷引用:广西来宾市忻城县高级中学2023-2024学年高一下学期期中考试数学试卷