名校
解题方法
1 . 如图,在四棱锥
中,
,
,E为棱PA的中点,
平面PCD.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/a5511bbf-4e03-4355-94ec-8a9be4809877.png?resizew=155)
(1)求AD的长;
(2)若
,平面
平面PBC,求二面角
的大小的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c372d059202ec388960b125d4a87dc84.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/a5511bbf-4e03-4355-94ec-8a9be4809877.png?resizew=155)
(1)求AD的长;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6023d721b0a42f835c94503b5173b068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1069d514c3c32aeabd274475ee209ed6.png)
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4卷引用:黑龙江省哈尔滨市第九中学校2021-2022学年高二上学期期中数学试题
2021高三·全国·专题练习
名校
2 . 已知平面
,
是
内不同于
的直线,那么下列命题中错误 的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b707f5ee4fbb2e637c65fbc6d8ed03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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3卷引用:黑龙江省哈尔滨市哈尔滨师范大学附属中学2020-2021学年高一下学期期中数学试题
黑龙江省哈尔滨市哈尔滨师范大学附属中学2020-2021学年高一下学期期中数学试题(已下线)专题5.2 立体几何中的平行与垂直-备战2021年高考数学精选考点专项突破题集(新高考地区)北京市朝阳区北京中学2023-2024高二上学期12月月考数学试题
3 . 四棱锥
的底面
为直角梯形,
,
,
,
为正三角形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/2cd2f3b1-c9b9-4e41-b225-413af7fbaa64.png?resizew=167)
(1)点
为棱
上一点,若
平面
,
,求实数
的值;
(2)若
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f72900e99805cc33b49290b34fdea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086b195fa3c01695809ba94ddf0261aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef28980a58fac0437cbe113ec46e1d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/398879056abf1394e7d16da065eaca41.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/2cd2f3b1-c9b9-4e41-b225-413af7fbaa64.png?resizew=167)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a28be4d5a16cf245f6fa7c4088fee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f8b463fcecf0a757f386db56e074d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4049cbab185d39f80f4fe731c65def78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144bb8de12e89335139d7b3953c39eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c62e7c58606b2250c6d189d85a6ea8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29652f66e456c162313cda301712f929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da9dcf6c319174c9ea2b1ceaed1649a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d923a338dd2d2e29336b42574d38448.png)
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2019-01-03更新
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