1 . 在
中,
分别为
的中点,
,如图①,以
为折痕将
折起,使点A到达点
的位置,如图②.
(1)证明:
;
(2)若
平面
,求直线
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a204736186742e998dd00acff244a3e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/24978418-52bc-4570-ad0f-3fad43683187.png?resizew=351)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31b05b2c4d1a2d7ccacd254f9f60ddd5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b190c8d3d7d7d0e6e959e8a52eae90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3f1bb063892dfd8f301d327e2f68feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b489c25405ce48699d4f0a62820bed.png)
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2 . 如图,在四棱锥
中,
平面
,
,点
在棱
上,
,点
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/19/ef057583-3c3d-4deb-861e-6fa94b9455a0.png?resizew=170)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
平面
;
(2)求二面角
的余弦值.
![](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/4374d3e92030b750cbbfeb41a332783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38a41b0f5e53b5566be42e5eb6ddb97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8676b624f105072a3185911b25c912dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/19/ef057583-3c3d-4deb-861e-6fa94b9455a0.png?resizew=170)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5536a3521cd3ea67a2c6b9a82cb60f4.png)
您最近一年使用:0次
2023-03-18更新
|
415次组卷
|
3卷引用:新疆阿勒泰地区2023届高三素养调研第一次模拟考试数学(理)试题(问卷)
3 . 在四棱锥
中,侧面
为等边三角形,底面ABCD为直角梯形,
,
,
,
,E为线段AB的中点,过直线CE的平面与线段PA,PD分别交于点M,N.
![](https://img.xkw.com/dksih/QBM/2022/4/22/2963608780251136/2965210494214144/STEM/7813ebef-4599-4135-a3a9-1a92ddfa9263.png?resizew=185)
(1)求证:
;
(2)若直线PC与平面CEMN所成的角的余弦值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b377f22aafd3742ad860f77abaacef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e808897e0e659740988fb3311f610dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb466d3d90e7d27f27c60c8beecd4444.png)
![](https://img.xkw.com/dksih/QBM/2022/4/22/2963608780251136/2965210494214144/STEM/7813ebef-4599-4135-a3a9-1a92ddfa9263.png?resizew=185)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7784be0caa2ffb58bbebf81fa127c1.png)
(2)若直线PC与平面CEMN所成的角的余弦值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a7dd471434c923f76809dfa5ee183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037f00f51c64d7dde2d46517003bca65.png)
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4 . 如图,在直三棱柱
中,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2021/5/11/2718965993095168/2720429408911360/STEM/ec9cee32-eb32-4f0b-a9d9-de5b18147040.png?resizew=304)
(1)若
为
上的一点,且
,求证
;
(2)在(1)的条件下,若异面直线
与
所成的角为
,求直线
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef71ad329f7c4e0e8d409f279787e2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/2021/5/11/2718965993095168/2720429408911360/STEM/ec9cee32-eb32-4f0b-a9d9-de5b18147040.png?resizew=304)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca861956f4410fae22f6d49dd1b7c098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb56ba18161d012a69aee3743b8a0f9.png)
(2)在(1)的条件下,若异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b7903de4be7d5dc1175cfbf6e8da9f.png)
您最近一年使用:0次
2021-05-13更新
|
435次组卷
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3卷引用:新疆维吾尔自治区布尔津县高级中学2021届高三三模数学(理)试题
新疆维吾尔自治区布尔津县高级中学2021届高三三模数学(理)试题(已下线)一轮复习大题专练50—立体几何(线面角2)—2022届高三数学一轮复习广东省深圳市龙城高级中学2022届高三上学期9月第一次月考数学试题