1 . 如图所示,在四棱锥
中,底面
是直角梯形,
,
,
,
平面
,且
,点
在棱
上,且
.
![](https://img.xkw.com/dksih/QBM/2019/6/7/2220515209068544/2220763683225600/STEM/65e1ad6d1817467e9fd0e987533480ab.png?resizew=153)
(1)求异面直线
与
所成的角的大小;
(2)求证:
平面
;
(3)求二面角
的大小.
![](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/003ed9a31cd7c06dbf6eba32471d60c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d262480ffb55b7617f44b63f130c154a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3fcba360d97fb1fabd96a7ad9384fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b2768d41c12b2a8f4d1b92f50d0b96.png)
![](https://img.xkw.com/dksih/QBM/2019/6/7/2220515209068544/2220763683225600/STEM/65e1ad6d1817467e9fd0e987533480ab.png?resizew=153)
(1)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6a0cee8226e82cc57916e10d533369.png)
您最近一年使用:0次
2016-12-13更新
|
1281次组卷
|
2卷引用:2017届福建闽侯县二中高三上期中数学(文)试卷
2 . 如图,多面体
中,面
为矩形,
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/fba0d951-5651-4cd3-92d1-cdac243a6600.png?resizew=172)
(1)求证:
平面
;
(2)求
与
所成角的余弦值;
(3)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5c816b8b83b9d7cfd260fadded614f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6933009c0119b0f380e303b5ef862d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f48f04ad596e10279fa32ad8b76bac0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/fba0d951-5651-4cd3-92d1-cdac243a6600.png?resizew=172)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14f0106a1329dfce39bb51ae7c9c74ff.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16c23dd291bf7e824bd6c02831f5c56.png)
您最近一年使用:0次
3 . 如图,在边长为
的菱形
中,
,点
,
分别是边
,
的中点,
.沿
将△
翻折到△
,连接
,得到如图的五棱锥
,且
.
![](https://img.xkw.com/dksih/QBM/2015/4/1/1572058689798144/1572058695368704/STEM/4b3c1e3435c847b8a5d26f8d48f8fbf0.png?resizew=437)
(1)求证:
平面
;
(2)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa3f4f259d60ade01bd9bf6632238e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53adfda9881851ffcab475537f8165e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261790c66cc71ee3898afabad0c09f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b99271fe84300da304205280de1b63e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafd8ea63ced193942ba59fcb24ae73b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7dcba0c73b994832543511e2a1681ad.png)
![](https://img.xkw.com/dksih/QBM/2015/4/1/1572058689798144/1572058695368704/STEM/4b3c1e3435c847b8a5d26f8d48f8fbf0.png?resizew=437)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83efd6afec2f73c52e4b027a12d9f817.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a43c429d2676774d09e2509d9e26a0d.png)
您最近一年使用:0次
2016-12-04更新
|
999次组卷
|
9卷引用:2016届福建省泉州五中高三最后一卷文科数学试卷
4 . 如图,菱形
的对角线
与
交于点
,点
分别在
上,
交
于点
,将
沿
折到
位置,
.
(1)证明:
平面
;
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4df92c6caacba34d5109926f9fc26c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7835c72d14f9d61b95b15aa47fafac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3feeaf1f4286df9e040d2d5c770628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3634979dfcebf857b20874dd320d80b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3f98a03659557a9d2f90b76866a920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803cac9a91f6664dbe83e1d9fc4c8833.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fdfc11936fa2b2817d0ddedb1f80d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c8fbcb7b22470ad83fcce263d267e9.png)
您最近一年使用:0次
2016-12-04更新
|
8484次组卷
|
33卷引用:福建省建瓯市芝华中学2021-2022学年高二上学期第一次阶段性检测数学试题
福建省建瓯市芝华中学2021-2022学年高二上学期第一次阶段性检测数学试题福建省泉州市泉州鲤城北大培文学校2022届高三上学期期末数学试题2016年全国普通高等学校招生统一考试理科数学(新课标2卷精编版)2017届河北省正定中学高三上学期第三次月考(期中)数学(理)试卷2016-2017学年广西桂林市桂林中学高二下学期开学考试数学(理)试卷江苏省泰州中学2018届高三10月月考数学(理)试题【全国百强校】河北省武邑中学2018届高三下学期期中考试数学(理)试题(已下线)活页作业11 直线间的夹角 平面间的夹角-2018年数学同步优化指导(北师大版选修2-1)【全国百强校】河北省张家口市第一中学2018-2019学年高一4月月考数学试题河北省张家口市第一中学2018-2019学年高一4月月考数学试题(衔接班)广东省梅州市梅县区松口中学2019-2020学年高三上学期第二次阶段性考试数学(理)试题安徽省合肥市第六中学2018-2019学年高二下学期开学考试数学试题(已下线)专题17 立体几何综合-五年(2016-2020)高考数学(文)真题分项(已下线)专题17 立体几何综合-五年(2016-2020)高考数学(理)真题分项河北省唐山市第十一中学2019-2020学年高二下学期寒假调研数学试题江苏省南京市第一中学2020-2021学年高三上学期1月阶段性检测数学试题浙江省金华市磐安县第二中学2020-2021学年高二上学期12月月考数学试题(已下线)解密06 空间点、线、面的位置关系(讲义)-【高频考点解密】2021年新高考数学二轮复习讲义+分层训练(已下线)专题26空间向量与空间角的计算-2022年高三毕业班数学常考点归纳与变式演练(理科专用)江西省景德镇市第一中学2021-2022学年高二(1班)上学期期中数学试题吉林省松原市长岭县第三中学2021-2022学年高二上学期第三次考试数学试题(已下线)专题24 盘点立体几何中折叠问题——备战2022年高考数学二轮复习常考点专题突破(已下线)专题17 立体几何解答题(已下线)2016年全国普通高等学校招生统一考试理科数学(全国2卷参考版)(已下线)专题24 空间向量与空间角的计算-十年(2011-2020)高考真题数学分项四川省成都市嘉祥外国语高级中学2020-2021学年高二下学期4月月考理科数学试题陕西省西安市蓝田县城关中学2022-2023学年高二下学期6月第二次月考理科数学试题(已下线)第三章 折叠、旋转与展开 专题一 平面图形的翻折、旋转 微点2 翻折、旋转中的基本问题(二)(已下线)6.4 空间向量与立体几何(高考真题素材之十年高考)1(已下线)6.4 空间向量与立体几何(高考真题素材之十年高考)1 (2)(已下线)专题23 立体几何解答题(理科)-2宁夏银川市第二中学2023-2024学年高三下学期级适应性考试二(理科)数学试题专题31立体几何与空间向量解答题(第二部分)
名校
5 . 如图,四棱柱
中,底面
是矩形,且
,
,
,若
为
的中点,且
.
![](https://img.xkw.com/dksih/QBM/2016/5/30/1572655775326208/1572655781691392/STEM/21d459ec-72ba-4a3a-ba61-2ebacc0e2e82.png?resizew=256)
(1)求证:
平面
;
(2)线段
上是否存在一点
,使得二面角
的大小为
?若存在,求出
的长;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae79b7d1fc4131ae3b9de76e2fa45e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f4bedddcb0c5bf04eefeaee1eb1695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a77ddea1345e7d0685b106cd017f21d.png)
![](https://img.xkw.com/dksih/QBM/2016/5/30/1572655775326208/1572655781691392/STEM/21d459ec-72ba-4a3a-ba61-2ebacc0e2e82.png?resizew=256)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e5981445b6f2a6c58974158d96a4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075aa39e7090f88f04abd544ed32b044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
您最近一年使用:0次
2016-12-04更新
|
463次组卷
|
5卷引用:2015-2016学年福建省四地六校高二下学期第一次联考理科数学试卷
6 . 如图,
是正方形,
是该正方体的中心,
是平面
外一点,
平面
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2016/5/30/1572653436821504/1572653443014656/STEM/206d713946cc4a089d2c4e251df0173d.png)
(1)求证:
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19807b67a48dedbd28fbb60dafd566d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2016/5/30/1572653436821504/1572653443014656/STEM/206d713946cc4a089d2c4e251df0173d.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373f735f0f04d11f1951eaef1bb78b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3f3cd7dc815e9baf79d40119a9498d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次
2016-12-04更新
|
732次组卷
|
10卷引用:福建省闽侯第四中学2017-2018学年高二上学期期中数学(理)试题
福建省闽侯第四中学2017-2018学年高二上学期期中数学(理)试题2015-2016学年云南省西双版纳州景洪三中高一上学期期末数学试卷2015-2016学年西藏日喀则一中高一4月月考数学试卷2016-2017学年陕西省咸阳市高一上学期期末教学质量检测数学试卷黑龙江省牡丹江市第一高级中学2016-2017学年高一下学期期末考试数学试题黑龙江省安达市田家炳高级中学2017-2018学年高一下学期期末考试数学试题新疆沙雅县第二中学2018-2019学年高二下学期期末数学试题青海省平安县第一高级中学2017-2018学年高二上学期期中考试数学(B卷)试题湖南省株洲市茶陵县第三中学2019-2020学年高一下学期入学考试数学试题云南省楚雄天人中学2019-2020学年高二4月学习效果监测数学(文)试题
解题方法
7 . 如图,直三棱柱
的底面是边长为
正三角形,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/6d0ab509-0728-49b1-96f8-f2f48217c070.png?resizew=193)
(1)求证:
;
(2)在棱
上是否存在点
,使得
平面
?若存在,确定点
的位置;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c2eef1b59d3be8b75f06cd908ec4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/6d0ab509-0728-49b1-96f8-f2f48217c070.png?resizew=193)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86ce05219b467f011fa3487a2345756.png)
(2)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb7c585995d694d03475797830ca98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4d781525777c7b5284dffc70b2a28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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8 . 如图,C、D是以AB为直径的圆上两点,AB=2AD=2
,AC=BC,F 是AB上一点,且AF=
AB,将圆沿直径AB折起,使点C在平面ABD的射影E在BD上,已知CE=
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/0d1ae30d-63cf-48a2-8418-3d1176533b36.png?resizew=340)
(1)求证:AD⊥平面BCE;
(2)求证:AD∥平面CEF;
(3)求三棱锥A﹣CFD的体积.
![](https://img.xkw.com/dksih/QBM/2016/4/19/1572595892322304/1572595898482688/STEM/1c47b8deb48249d1866b1f245672ef60.png)
![](https://img.xkw.com/dksih/QBM/2016/4/19/1572595892322304/1572595898482688/STEM/1141bbe2dca14594add751cfac451f6c.png)
![](https://img.xkw.com/dksih/QBM/2016/4/19/1572595892322304/1572595898482688/STEM/e9e3b3fdbccd457083a5a6d1d4e27183.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/0d1ae30d-63cf-48a2-8418-3d1176533b36.png?resizew=340)
(1)求证:AD⊥平面BCE;
(2)求证:AD∥平面CEF;
(3)求三棱锥A﹣CFD的体积.
您最近一年使用:0次
2016-12-04更新
|
1193次组卷
|
6卷引用:福建省闽侯第六中学2017-2018学年高一12月月考数学试题
9 . 如图,在四棱柱
中,底面
是矩形,且
,
,
.若
为
的中点,且
.
![](https://img.xkw.com/dksih/QBM/2015/11/27/1572317240254464/1572317245956096/STEM/461c17add7c7486cabc1c21d03d0434e.png?resizew=177)
(1)求证:
平面
;
(2)线段
上是否存在一点
,使得二面角
为
?若存在,求出
的长;不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae79b7d1fc4131ae3b9de76e2fa45e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f436b2f2edf1a47f80a4c439d6938646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a77ddea1345e7d0685b106cd017f21d.png)
![](https://img.xkw.com/dksih/QBM/2015/11/27/1572317240254464/1572317245956096/STEM/461c17add7c7486cabc1c21d03d0434e.png?resizew=177)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e5981445b6f2a6c58974158d96a4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075aa39e7090f88f04abd544ed32b044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
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2016-12-03更新
|
1668次组卷
|
2卷引用:2015届福建省宁德市普通高中毕业班第二次质量检查理科数学试卷
10 . 如图,
是圆
的直径,
是圆
上异于
的一个动点,
垂直于圆
所在的平面,
,
.
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572185950715904/1572185956737024/STEM/c5550fe028fd44c4a60a2f6b6fbba539.png?resizew=168)
(1)求证:
平面
;
(2)当三棱锥
体积最大时,求平面
与平面
所成的锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51e24fe600a16f681637e1e4be49213.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef144a7420ff0a22974f1fde37d498f.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572185950715904/1572185956737024/STEM/c5550fe028fd44c4a60a2f6b6fbba539.png?resizew=168)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)当三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32fdd65aa55d1833750ef453a295d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9b32570d553161be04d13954e92a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
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