名校
1 . 如图,在三棱锥
中,
,
,平面
平面
,
.
![](https://img.xkw.com/dksih/QBM/2022/5/15/2979504440737792/2980892132352000/STEM/af0bd20d-198d-4449-9b87-b4d942f67fef.png?resizew=184)
(1)证明:
;
(2)若三棱锥
的体积为
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036de574712cad14bddadf6653c7e714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94117be6898f465b621b00d996cea62a.png)
![](https://img.xkw.com/dksih/QBM/2022/5/15/2979504440737792/2980892132352000/STEM/af0bd20d-198d-4449-9b87-b4d942f67fef.png?resizew=184)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a916d31a199e250556fb7478d9f57f7.png)
(2)若三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e781794380369986325b56e705014096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b796bbaeb8450404c2d146283562006e.png)
您最近一年使用:0次
2022-05-16更新
|
997次组卷
|
3卷引用:西藏自治区拉萨中学2023届高三下学期3月数学(理)检测试题
名校
解题方法
2 . 如图,四棱锥
中,底面
是边长为2的正方形,
,
,且
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2022/3/21/2941239547174912/2943103781117952/STEM/4f1ea8ce11fd4cc2aae201d7ec1ce513.png?resizew=242)
(1)求平面
与平面
夹角的余弦值;
(2)在线段
上是否存在点
,使得点
到平面
的距离为
?若存在,确定点的位置;若不存在,请说明理由.
![](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/f0063f3f48e49f2970ec7f097567cef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37002ada5d194d4d062fa3285d7d9824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/2022/3/21/2941239547174912/2943103781117952/STEM/4f1ea8ce11fd4cc2aae201d7ec1ce513.png?resizew=242)
(1)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1dcba40b263c1119ea0a36651c7812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69d166677557cadb3da32b4a7e152e3.png)
您最近一年使用:0次
2022-03-24更新
|
867次组卷
|
5卷引用:西藏拉萨中学2021-2022学年高二3月月考数学(理)试题
西藏拉萨中学2021-2022学年高二3月月考数学(理)试题河北省石家庄市2021-2022学年高二上学期期末数学试题(已下线)高二数学下学期期末全真模拟卷(1)(考试范围:高中全部内容)-2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)福建省三明市第二中学2022-2023学年高二上学期开学适应性练习数学试题江苏省南京市第一中学2022-2023学年高二下学期期末数学试题
名校
3 . 如图1所示,梯形ABCD中,AD=2AB=2BC=2CD=4.E为AD的中点,连结BE,AC交于F,将△ABE沿BE折叠,使得平面ABE⊥平面BCDE(如图2)
![](https://img.xkw.com/dksih/QBM/2022/2/9/2912825895124992/2937298439553024/STEM/7374f0f9-c946-44b8-bf0a-76d044ec16fc.png?resizew=454)
(1)求证:AF⊥CD;
(2)求平面AFC与平面ADE所成的二面角的正弦值.
![](https://img.xkw.com/dksih/QBM/2022/2/9/2912825895124992/2937298439553024/STEM/7374f0f9-c946-44b8-bf0a-76d044ec16fc.png?resizew=454)
(1)求证:AF⊥CD;
(2)求平面AFC与平面ADE所成的二面角的正弦值.
您最近一年使用:0次
2022-03-16更新
|
732次组卷
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5卷引用:西藏林芝市、日喀则市2021届高三下学期第二次联考数学(理)试题
西藏林芝市、日喀则市2021届高三下学期第二次联考数学(理)试题江苏省泰州市泰兴市第一高级中学2022届高三下学期阶段测试二数学试题江苏省淮安市2021届高三下学期4月第二次适应性考试数学试题(已下线)查补易混易错点05 空间向量与立体几何-【查漏补缺】2022年高考数学三轮冲刺过关(新高考专用)福建省莆田第二十五中学2021-2022学年高二下学期期中考试数学试题
4 . 在如图所示的几何体中,四边形
是菱形,四边形
是矩形,平面
平面
,
,
,
,
为
的中点,
为线段
上的一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/3cb110b1-ec71-43f2-9c19-4b98dd9daa0c.png?resizew=181)
(1)求证:
;
(2)若二面角
的大小为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ab4fdfc612c9fa2dd8ae24904192d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61804389aabf1e02857b748dd103700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5564681937f41e1489d69b20a71f9222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/3cb110b1-ec71-43f2-9c19-4b98dd9daa0c.png?resizew=181)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068a4fe65a8083c66aab992d52a53578.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5fa459d6c8ae34b54bb973c6f2aea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50c887867908030d361451a2e85bbe4.png)
您最近一年使用:0次
2019-11-14更新
|
693次组卷
|
4卷引用:西藏拉萨中学2019-2020学年高三第六次月考数学(理)试题
名校
解题方法
5 . 如图,在
中,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa41f80c6e33393a9f7bb57fca6b493.png)
,
是斜边
的中点,将
沿直线
翻折,若在翻折过程中存在某个位置,使得
,则
的取值范围是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/72176918-fa52-4b6e-a209-d4554075167a.png?resizew=275)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571ef38fc225d102bcd4f35bab70078c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa41f80c6e33393a9f7bb57fca6b493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/324aae9536a57bcaf320795715f20b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/72176918-fa52-4b6e-a209-d4554075167a.png?resizew=275)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-10-26更新
|
1438次组卷
|
2卷引用:【全国百强校】西藏自治区拉萨中学2019届高三第五次月考数学(理)试题