名校
1 . 如图,已知多面体
,
,
,
,
均垂直于平面
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/ffc4557d-5b75-4d74-813c-52730fa206b5.png?resizew=134)
(Ⅰ)证明:
平面
;
(Ⅱ)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7aa778bf48d501b70ea6d4bad674d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89eac4972d99833acf112d298c6c508b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6fa9cd864b937ee2a542495a8dc88e2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/ffc4557d-5b75-4d74-813c-52730fa206b5.png?resizew=134)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c401f9dd333b36433b56d7aef1ffc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
您最近一年使用:0次
2020-08-19更新
|
541次组卷
|
9卷引用:湖南省衡阳市第八中学2020届高三下学期高考适应性考试文科数学试题
湖南省衡阳市第八中学2020届高三下学期高考适应性考试文科数学试题湖南师大附中2020届高三下学期6月月考数学(文)试题普通高等学校招生国统一考试 2020-2021学年高三上学期 数学(理)考向卷(三)浙江省2021届高三下学期高考模拟(一)数学试题(已下线)专题19 立体几何综合-2020年高考数学母题题源全揭秘(浙江专版)浙江省路桥中学2021届高三下学期数学综合练习试题(五)(已下线)专题12.立体几何与空间向量(解答题)-《2022届复习必备-2021届浙江省高考冲刺数学试卷分项解析》浙江省2019-2020学年高三下学期4月联考数学试题(已下线)专题20 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅱ专版)
名校
解题方法
2 . 如图,在四棱锥
中,
,
,
.
(1)证明:
平面
;
(2)若
,
,
为线段
上一点,且
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4117625867a74cd022584500c76deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d028a62fea771beb2d18f0c1bf856c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca5087d262b2830846cb55fb32fbe5a.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0edb1508fc95765f3bb316bcb5252d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98c8e36238ad90378e724466fcb6023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd08b502bf0d11788300e7d6ba2fc66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acaf100147efc6dc6feb362be71a7132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4886e7a5981c939eb06b33ddb546346a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/ba3ef8b0-71e2-4703-880e-7551c9de058d.png?resizew=184)
您最近一年使用:0次
2020-08-19更新
|
109次组卷
|
4卷引用:湖南省长沙市长郡中学2020届高三下学期高考模拟(一)文科数学试题
湖南省长沙市长郡中学2020届高三下学期高考模拟(一)文科数学试题湘豫名校2020届高三联考(6月)数学(文科)试题(已下线)第九单元 解析几何(B卷 滚动提升检测)-2021年高考数学(文)一轮复习单元滚动双测卷(已下线)专题20 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅱ专版)
3 . 图1是直角梯形
,
,
,
,
,
,点
在
上,
,以
为折痕将
折起,使点
到达
的位置,且
,如图2.
![](https://img.xkw.com/dksih/QBM/2020/8/13/2527164359933952/2530081764810752/STEM/0657af3c55ba4e529101cdeaa3317f5f.png?resizew=302)
(1)证明:平面
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d31600cba2d5256c7e78b6122d6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0404103914b2a6be30aa66937997b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40560ea08d6cd8c1d4d9661ee6faaa3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297f713ddbcc4578e73c8afe3a52abfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9b02a4ece39842989088e56b1d988b.png)
![](https://img.xkw.com/dksih/QBM/2020/8/13/2527164359933952/2530081764810752/STEM/0657af3c55ba4e529101cdeaa3317f5f.png?resizew=302)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570723ec1803bb3a69f220ad7df50226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41104641f3e2260d00aeadf8fb8a078a.png)
您最近一年使用:0次
2020-08-18更新
|
706次组卷
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9卷引用:湖南省怀化市2020届高三下学期6月第三次模拟考试文科数学试题
湖南省怀化市2020届高三下学期6月第三次模拟考试文科数学试题贵州省普通高等学校招生2019-2020学年高三适应性测试文科数学试题贵州省2019-2020学年高三(4月份)高考模拟(文科)数学试题(已下线)专题19 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅲ专版)广西南宁三中2019-2020学年下学期高二期末考试(普通班)文科数学试题重庆市南开中学2020届高三下学期第九次质检数学(文)试题(已下线)专题19 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅰ专版)重庆市渝北区松树桥中学2020-2021学年高二上学期第三次阶段性测试数学试题四川省合江县马街中学校2022-2023学年高二下学期期中数学(文)试题
名校
解题方法
4 . 在三棱锥
中,
,
,平面
平面
,点
在棱
上.
![](https://img.xkw.com/dksih/QBM/2020/8/13/2527164359933952/2530081765548032/STEM/ccf791bf04e84882add419545c57d0ab.png?resizew=168)
(1)若
为
的中点,证明:
;
(2)若三棱锥
的体积为
,求
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4959250cb4f4289b7c5400c7bee0426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925e8ff124fabafebb1467a47869688d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06123e81c41198c76a3335757fac2c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2020/8/13/2527164359933952/2530081765548032/STEM/ccf791bf04e84882add419545c57d0ab.png?resizew=168)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f48dc028c0950f410bb810b54195c7.png)
(2)若三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d4c4c20702df9a48a3ed7412fefe47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
您最近一年使用:0次
2020-08-18更新
|
451次组卷
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11卷引用:2020届湖南省邵阳市高三下学期5月二模文科数学试题
2020届湖南省邵阳市高三下学期5月二模文科数学试题广西桂林、崇左、贺州2019-2020学年高三5月联合模拟考试数学(文)试题(已下线)专题19 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅲ专版)河北省重点中学2019-2020学年高一下学期期末数学试题安徽省示范高中2019-2020学年高一下学期统一考试数学试题河北省邢台市临西实验中学2019-2020学年高一下学期期末数学试题广东省江门市第二中学2020-2021学年高二上学期第一次月考数学试题安徽省合肥市第八中学2020-2021学年高二上学期第一次段考理科数学试题江西省吉安县立中学2020-2021学年高二12月月考数学(文A)试题(已下线)文科数学-2021年高考押题预测卷(新课标Ⅰ卷)01(已下线)文科数学-2021年高考押题预测卷(新课标Ⅰ卷)03
5 . 已知:梯形
,
,
,
,
,将
沿
折起至
的位置,使
.
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521491348316160/2522518550044672/STEM/a4b49b21-8c4c-4b74-a050-f2a42e6e90e2.png)
(1)求证:平面
平面
;
(2)求点B到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd8e727e4efc22b49649f71ae9c9d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49437f474e5805688dff21ded2d1fd7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acee03d4bb4667b6c345221b6c9b0fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eea78bf026d76f1cb9cc3dc9349a193.png)
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521491348316160/2522518550044672/STEM/a4b49b21-8c4c-4b74-a050-f2a42e6e90e2.png)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求点B到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2020-08-07更新
|
635次组卷
|
2卷引用:湖南省衡阳市2020届高三高考数学(文科)(三模)联考试题
解题方法
6 . 如图所示,已知正方体
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/8/eb4bdec5-6d31-4ed7-9a25-7d4c3318ccd5.png?resizew=166)
(1)线段AC上是否存在点O,使得
平面
,若存在,求
的值;若不存在,请说明理由;
(2)求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/8/eb4bdec5-6d31-4ed7-9a25-7d4c3318ccd5.png?resizew=166)
(1)线段AC上是否存在点O,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c8f2410d6a17adcf6817b08d20f3ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae7f4612c548b1f72a964ddb291cd2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9ff749465c7c022a8975564c315d73.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0226b9a9fd4d0647e4f759c07de9aaad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
您最近一年使用:0次
解题方法
7 . 如图,半圆弧
所在平面与平面
垂直,M是
上异于A,B的动点,
,
.
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521491435372544/2522082560286720/STEM/0391d7d9649d49ca82ff2474f73fb96d.png?resizew=265)
(1)证明:
平面
;
(2)当直线
与平面
所成的角为
时,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d20fec32122b4a70b993976201c9ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a8398ae63f948a109b00a0effa64c5.png)
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521491435372544/2522082560286720/STEM/0391d7d9649d49ca82ff2474f73fb96d.png?resizew=265)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ea3d098fae87d8a2adc3f9913d8a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2246c0e92e8cc344f636ea8f8f9037e6.png)
(2)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c5394ebd1a05d61f0bbaa702d7f5d9.png)
您最近一年使用:0次
8 . 如图所示,在三棱柱
中,
平面
,
,
是
的中点,
.
![](https://img.xkw.com/dksih/QBM/2021/7/28/2774042290331648/2776965250318336/STEM/7adb8443233b4641b47a3039135bafad.png?resizew=213)
(1)求证:平面
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ecf072589c0f901d92f6bda111d841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cbf225d5b011f6a79642a3def3e05db.png)
![](https://img.xkw.com/dksih/QBM/2021/7/28/2774042290331648/2776965250318336/STEM/7adb8443233b4641b47a3039135bafad.png?resizew=213)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80484e94de33c32474ef90f77127ae51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31dba91f88e6404c86a48df67fdb6d77.png)
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2021-08-01更新
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2734次组卷
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23卷引用:湖南省长沙市长郡中学2017届高三5月模拟考试数学(文)试题
湖南省长沙市长郡中学2017届高三5月模拟考试数学(文)试题2016-2017学年河北唐山市高三第一次模拟考试文数试卷2017届河北省曲周县第一中学高三下学期第一次模拟考试文数试卷广东省惠州市2017届高三4月模拟考试数学文试题【全国市级联考】河南省洛阳市2018届高三第三次统一考试数学(文)试卷(已下线)考点38 直线、平面垂直的判定与性质(考点专练)-备战2021年新高考数学一轮复习考点微专题(已下线)专题46 空间向量与立体几何大题解题模板-2021年高考一轮数学单元复习一遍过(新高考地区专用)(已下线)专题46 空间向量与立体几何大题解题模板-2021年高考一轮数学(理)单元复习一遍过(已下线)专题42 空间点、直线、平面的位置关系综合练习-2021年高考一轮数学(理)单元复习一遍过(已下线)专题42 空间点、直线、平面的位置关系综合练习-2021年高考一轮数学单元复习一遍过(新高考地区专用)(已下线)专题43 立体几何大题解题模板-2021年高考一轮数学(文)单元复习一遍过(已下线)专题42 空间点、直线、平面的位置关系综合练习-2021年高考一轮数学(文)单元复习一遍过(已下线)黄金卷04-【赢在高考·黄金20卷】备战2021年高考数学(文)全真模拟卷(新课标Ⅱ卷)宁夏石嘴山市第三中学2021届高三四模数学(文)试题(已下线)专题03 立体几何大题解题模板-(新教材)2020-2021学年高二数学单元复习(人教A版选择性必修第一册)甘肃省嘉峪关市第一中学2020-2021学年高二下学期期末考试数学文科试题黑龙江省大庆铁人中学2021-2022学年高二下学期第一次月考数学试题(已下线)专题8.3 立体几何初步 章末检测3(难)-【满分计划】2021-2022学年高一数学阶段性复习测试卷(人教A版2019必修第二册)(已下线)专题8.6 空间直线、平面的垂直-2021-2022学年高一数学课后培优练(人教A版2019必修第二册)江西省南昌市第十中学2021-2022学年高二下学期期中考试数学(理)试题河南省周口市商水县实验高级中学2021-2022学年高一下学期第三次月考数学试题新疆乌鲁木齐市第三十六中学2022-2023学年高一下学期期末考试数学试题宁夏石嘴山市第三中学2021届高三下学期第四次模拟考试数学(文)试题
名校
解题方法
9 . 在四棱锥
中,
,
,
.
![](https://img.xkw.com/dksih/QBM/2020/7/16/2507163511185408/2507742942142464/STEM/81818201-22da-43e0-89b1-ece83628027b.png)
(1)求证:平面
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/ef823626a056bd042627305d1d2868f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4ad161a2674d823247f0d8236cae1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364d6c88726d8c3bb8ed297057332bac.png)
![](https://img.xkw.com/dksih/QBM/2020/7/16/2507163511185408/2507742942142464/STEM/81818201-22da-43e0-89b1-ece83628027b.png)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b31c44f920e6e09b02f03ec82ef843.png)
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2020-07-17更新
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651次组卷
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5卷引用:湖南省湘潭市2020届高三下学期第四次模拟考试理科数学试题
名校
解题方法
10 . 四棱锥
如图所示,其中四边形ABCD是直角梯形,
,
,
平面ABCD,
,AC与BD交于点G,
,点M线段SA上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/6978df9f-1da8-4ea6-8efa-24120c802fd2.png?resizew=230)
(1)若直线
平面MBD,求
的值;
(2)若
,求点A到平面SCD的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0e5697eca3f5205cb7b343648240bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c410acaeb3a4f853cc0d3930ed8eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb5202a37e8291923ef9879a5f953e1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/6978df9f-1da8-4ea6-8efa-24120c802fd2.png?resizew=230)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a829577bb0863d3f39db38ca4c179a56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b98851cd97e52ae204272ab60a0a4c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3b3d73ff96882a0fb4d025ecc5669d.png)
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2020-07-15更新
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451次组卷
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8卷引用:湖南省长沙市雅礼中学2020届高三下学期高考模拟试卷(二)数学(文)试题