2013·湖南怀化·一模
名校
解题方法
1 . 如图1,
,过动点
作
,垂足
在线段
上且异于点
,连接
,沿
将
折起,使
(如图2所示),
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/8677db1f-f0c3-418a-b98a-838b801c7750.png?resizew=334)
(1)当
的长为多少时,三棱锥
的体积最大;
(2)当三棱锥
的体积最大时,设点
分别为棱
的中点,试在棱
上确定一点
,使得
,并求
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa41b8cc912b518b764d1919ce14751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5e1441a49e782ff0ef46e776cde06a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587458141d890533c0c32aa249a27ad0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/8677db1f-f0c3-418a-b98a-838b801c7750.png?resizew=334)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48dc419adb17eb12220f07480b077b8.png)
(2)当三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48dc419adb17eb12220f07480b077b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5889e1f093f2c35273d3132ef8434e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5448218bd8c5b4f4a3714e0b0292d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4c865445dda4a59b6d5cb18fd74404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212a67f115d1cbe69f100b489babe5f8.png)
您最近一年使用:0次
2020-03-16更新
|
422次组卷
|
7卷引用:2019届湖北省武汉市新洲区部分高中高三上学期期末数学(理)试题
2019届湖北省武汉市新洲区部分高中高三上学期期末数学(理)试题(已下线)2013届湖南省怀化市高三第一次模拟考试理科数学试卷(已下线)2014届四川省雅安中学高三下学期3月月考理科数学试卷2016届吉林大学附中高三第二次模拟理科数学试卷贵州省遵义市遵义四中2018届高三第三次月考数学试题(已下线)押第19题立体几何-备战2021年高考数学临考题号押题(浙江专用)湖南省岳阳市岳阳县第一中学2022-2023学年高二下学期入学考试数学试题
2 . 如图,在四棱锥
中,底面ABCD为直角梯形,
,
,平面
底面ABCD,Q为AD的中点,M是棱PC上的点,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7412481426ec0f57a5fca1e0a4ebdfd5.png)
![](https://img.xkw.com/dksih/QBM/2018/12/25/2104412770852864/2104646828556288/STEM/7efbe10d50724c7fa0e6be186471b3a5.png?resizew=136)
求证:平面
平面PAD;
若
,求二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef699f5dc072b853cfe700c6f1abbbae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb655dcddebb50942249461aa852fba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebbb79892c8cb8871a08437acc09bc80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95018b86dccf95847af0e2bc7f62dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b5e86e15058757b1eb106d1e9faa50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7412481426ec0f57a5fca1e0a4ebdfd5.png)
![](https://img.xkw.com/dksih/QBM/2018/12/25/2104412770852864/2104646828556288/STEM/7efbe10d50724c7fa0e6be186471b3a5.png?resizew=136)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8f288d3f191b602474c74f7874b141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca96fc76c6da14edaba1836a484eeb20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86bcd4137242fca6194383da38e0fcac.png)
您最近一年使用:0次
2016-12-05更新
|
3002次组卷
|
6卷引用:2019届湖北省黄冈中学、华师一附中、襄阳四中、襄阳五中、荆州中学等八校高三第二次联考数学(理)试题
12-13高三上·湖北省直辖县级单位·期末
名校
解题方法
3 . 如图,四棱锥
中,
底面
,
,点
在线段
上,
.
(Ⅰ)求证:
平面
;
(Ⅱ)若
,
,且
与平面
所成的角为
,求二面角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc7f759828fe6a2e65e7c43070237f9.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/1134c8e3440abb6cd385af2c169037fe.png)
![](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/d2fc80dcef4a107f2b563e9691ad71c9.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b190c8d3d7d7d0e6e959e8a52eae90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7b6d04f024ca05cdfacc8ce9137c15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6758b05fe06cc2191907bc273f3cb1.png)
![](https://img.xkw.com/dksih/QBM/2012/2/29/1570781979074560/1570781984587776/STEM/445e4ba3a3aa4ac7aac6d49ce8ae4ec4.png?resizew=203)
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