1 . 如图1,在平面四边形
中,
,
.点
是线段
上靠近
端的三等分点,将
沿
折成四棱锥
,且
,连接
,如图2.
平面
;
(2)求图2中,直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a351136b18bc7d3bd5122332772ab23b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b1b3e2b758832c171d84722e2b5b2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5623fbd0225a292c0160f384b1ed56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36aae82d53f2a35d2f95f467bd5b76cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbddb854a1a634484936c64ab4a9102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f8cd87144a823ca72d3917ffe55006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c2b786c64e6a9ed2ec5670cde74f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求图2中,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
2024-02-24更新
|
2140次组卷
|
4卷引用:专题04 立体几何
(已下线)专题04 立体几何黑龙江省齐齐哈尔市2024届高三第一次模拟考试数学试题(已下线)第一套 艺体生新高考全真模拟 (一模重组卷)四川省成都市金牛区实外高级中学2023-2024学年高二下学期第一阶段考试数学试题
名校
2 . 如图,在圆锥
中,
是圆
的直径,且
是边长为4的等边三角形,
为圆弧
的两个三等分点,
是
的中点.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
平面
;
(2)求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e5ef91fb27dd684a27ae7f1993cfba.png)
![](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/72e49817548cb45b3d1e58570644c6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5000fea066102e62cf2128ccbbd2b3e3.png)
您最近一年使用:0次
2024-01-25更新
|
2231次组卷
|
10卷引用:专题04 立体几何
(已下线)专题04 立体几何(已下线)微考点5-2 新高考新试卷结构立体几何解答题中与旋转体有关的问题河北省石家庄一中2023-2024学年高二下学期第一次月考数学试题(已下线)湖南省长沙市四县区2024届高三下学期3月调研考试数学试题变式题11-15(已下线)2024年北京高考数学真题平行卷(基础)广东省深圳市宝安区2024届高三上学期期末数学试题陕西省西安市鄠邑区2023-2024学年高三上学期期末考试(理科)数学试题广东省深圳市南山区华侨城中学2024届高三下学期一模适应性考试数学试题湖南省长沙市四县区2024届高三下学期3月调研考试数学试卷江西省南昌市第十九中学2023-2024学年高三下学期第一次模拟考试数学试卷
名校
解题方法
3 . 如图,在正方体
,中,
,
分别为线段
,
上的动点.给出下列四个结论:
①存在点
,存在点
,满足
∥平面
;
②任意点
,存在点
,满足
∥平面
;
③任意点
,存在点
,满足
;
④任意点
,存在点
,满足
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/3/e57a56a9-d750-477c-8733-c2fd6fd4f78e.png?resizew=147)
①存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
②任意点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
③任意点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fa23f804341a531aed809f30bcb39e.png)
④任意点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fa23f804341a531aed809f30bcb39e.png)
其中所有正确结论的序号是
您最近一年使用:0次
2023-06-02更新
|
1833次组卷
|
7卷引用:信息必刷卷01
(已下线)信息必刷卷01(已下线)专题10 空间向量与立体几何-3(已下线)模块一 情境7 以立体几何为背景(已下线)第05讲 空间向量及其应用(练习)北京大兴精华学校2023届高三高考适应性测试数学试题广东省东莞市东华高级中学、东华松山湖高级中学2022-2023学年高二下学期期末学习效率检测数学试题云南省保山市智源高级中学2023-2024学年高二下学期第二次(6月)月考数学试题
名校
4 . 已知三棱柱
,侧面
是边长为2的菱形,
,侧面四边形
是矩形,且平面
平面
,点D是棱
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/0b46c545-ce4a-4491-b87e-94c260ad6b66.png?resizew=135)
(1)在棱AC上是否存在一点E,使得
平面
,并说明理由;
(2)当三棱锥
的体积为
时,求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa89eb1a4368b0aacff77a1eae81240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0671b4776e142e17a79af5b3f0378ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/0b46c545-ce4a-4491-b87e-94c260ad6b66.png?resizew=135)
(1)在棱AC上是否存在一点E,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6a3413b77478c8d4e1e0389dbf5984.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd823da794135c17889c2a2d42d0a149.png)
(2)当三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a555d0f53b1a2e8c56c2eb63f2fe463b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0186d11008c7d66c85ed0d8d2e568908.png)
您最近一年使用:0次
2022-11-15更新
|
1339次组卷
|
9卷引用:专题04 立体几何
2022高三·河北·专题练习
5 . 如图所示正四棱锥
,
,P为侧棱
上的点.且
,求:
的表面积;
(2)侧棱
上是否存在一点E,使得
平面
.若存在,求
的值;若不存在,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f409bd56ffe630a63fa399f39e2251fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2883beed42e46f8f379b02ea3b68b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
(2)侧棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c9ca3af3eb8bc486f7b3f29f5065eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c372d059202ec388960b125d4a87dc84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee29ea55624e5cbca858f47ef7ec49e.png)
您最近一年使用:0次
2022-05-10更新
|
3503次组卷
|
17卷引用:一轮复习大题专练46—立体几何(探索性问题2)-2022届高三数学一轮复习
(已下线)一轮复习大题专练46—立体几何(探索性问题2)-2022届高三数学一轮复习河北省张家口市张北县第一中学2021-2022学年高一下学期6月月考数学试题(已下线)专题30 直线、平面平行的判定与性质-2(已下线)第03讲 空间直线、平面的平行 (精讲)-2(已下线)空间直线、平面的平行(已下线)13.2.4 平面与平面的位置关系(1)-【帮课堂】(苏教版2019必修第二册)(已下线)8.5.2平面与平面平行(已下线)专题19 平面与平面平行-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)专题05 空间直线﹑平面的平行-《知识解读·题型专练》(人教A版2019必修第二册)江西省遂川中学2021-2022学年高二上学期第二次月考数学(文)试题(A卷)安徽省合肥市第十中学2021-2022学年高一下学期期中数学试题广东省普宁市第二中学2021-2022学年高一下学期期中数学试题广东省广州市八十六中2021-2022学年高一下学期期中数学试题河南省鹤壁市浚县浚县第一中学2021-2022学年高一下学期4月月考数学试题黑龙江省齐齐哈尔市第八中学校2022-2023学年高一下学期期中数学试题陕西师范大学附属中学渭北中学2022-2023学年高一下学期5月月考数学试题陕西省咸阳市武功县普集高级中学2023届高三下学期5月校模考(二)数学(文)试题
2022高三·河北·专题练习
名校
解题方法
6 . 已知四棱锥
如图所示,
,
,
,平面
平面
,点
为线段
的中点.
![](https://img.xkw.com/dksih/QBM/2021/9/29/2818542764204032/2819401981984768/STEM/a716b7178d1349b2a609e342b1516685.png?resizew=219)
(1)求证:
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ea5d7cfb1712e1aad407159c3fc6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ff67dbfe0050270169791ae85ef940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ce5e00b89a3cd9c39d45c13a0afed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448cbac9a1ef3de7538a6b30cdc39582.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/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://img.xkw.com/dksih/QBM/2021/9/29/2818542764204032/2819401981984768/STEM/a716b7178d1349b2a609e342b1516685.png?resizew=219)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78172568aac9805d2ea2d5f742bf80c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9c9cfa597b444b5c9dbae7a825a695.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4a6b8ef3e79b4482388c3391d8b18.png)
您最近一年使用:0次
2021-09-30更新
|
497次组卷
|
3卷引用:一轮复习大题专练48—立体几何(距离问题2)—2022届高三数学一轮复习
(已下线)一轮复习大题专练48—立体几何(距离问题2)—2022届高三数学一轮复习四川省遂宁中学校2021-2022学年高二上学期期中考试数学(理)试题河南省中原名校2021-2022学年高二上学期12月联考理科数学试题
名校
7 . 如图,在四棱锥
中,
平面
,
,
,
,
为
中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/18b9bac0-d4de-4d6c-9b69-747b73fead9c.png?resizew=233)
(1)求证:BC//平面
;
(2)求直线
与平面
所成角的正弦值.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a923784f083b7f4777891afe06b44e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c14a66ed4bd66df65bc42c4ac1ed15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa1162d5481e2441fe5bc0d49a576b0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/18b9bac0-d4de-4d6c-9b69-747b73fead9c.png?resizew=233)
(1)求证:BC//平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2021-08-16更新
|
1295次组卷
|
4卷引用:一轮复习大题专练49—立体几何(线面角1)—2022届高三数学一轮复习
(已下线)一轮复习大题专练49—立体几何(线面角1)—2022届高三数学一轮复习北京市延庆区2020-2021学年高二下学期期末考试数学试题北京市第二十二中学2022届高三上学期期中数学试题四川省宜宾市叙州区第一中学校2022-2023学年高二下学期期中理科数学试题
名校
8 . 如图①所示,平面五边形ABCDE中,四边形ABCD为直角梯形,∠B=90°且AD∥BC,若AD=2BC=2,AB=
,△ADE是以AD为斜边的等腰直角三角形,现将△ADE沿AD折起,连接EB,EC得如图②的几何体.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/69a7df60-017f-4487-bbba-23a533673b75.png?resizew=340)
(1)若点M是ED的中点,求证:CM∥平面ABE;
(2)若EC=2,在棱EB上是否存在点F,使得二面角E-AD-F的大小为60°?若存在,求出点F的位置;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/69a7df60-017f-4487-bbba-23a533673b75.png?resizew=340)
(1)若点M是ED的中点,求证:CM∥平面ABE;
(2)若EC=2,在棱EB上是否存在点F,使得二面角E-AD-F的大小为60°?若存在,求出点F的位置;若不存在,请说明理由.
您最近一年使用:0次
2021-08-08更新
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1789次组卷
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10卷引用:一轮复习大题专练53—立体几何(二面角2)—2022届高三数学一轮复习
(已下线)一轮复习大题专练53—立体几何(二面角2)—2022届高三数学一轮复习(已下线)专题8.8 立体几何综合问题(练)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)专题19 空间向量与立体几何(解答题)-备战2022年高考数学(理)母题题源解密(全国甲卷)(已下线)押全国卷(理科)第19题 空间向量与立体几何-备战2022年高考数学(理)临考题号押题(全国卷)山东省菏泽市2021届高三二模数学试题湖北省黄石市大冶市第一中学2021-2022学年高二上学期10月月考数学试题吉林省长春市东北师大附中2022届高三第二次摸底考试数学(理)试题陕西省西安市临潼区2022届高三下学期二模理科数学试题江西省临川一中暨临川一中实验学校2022-2023学年高二4月月考数学试题浙江省嘉兴市桐乡市高级中学2022-2023学年高二上学期9月检测数学试题
解题方法
9 . 如图,在三棱锥
中,
,
,平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/b2c31bc1-5991-41ce-bb8d-c0ed0192dd77.png?resizew=165)
(1)求证:
;
(2)已知
,
,则棱
上是否存在点
,使得平面
平面
?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/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13d28cb7181257cf732af4b615fc47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/b2c31bc1-5991-41ce-bb8d-c0ed0192dd77.png?resizew=165)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35333abd7f02d663d15251bc5cbbf921.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d76c5ac5c9f0a2ec064487c02c476e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4381f2b66d0bb7bc081c1ccf59149120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de22059d7d80f24817235269e9bb1ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
2021-08-02更新
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807次组卷
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5卷引用:一轮复习大题专练45—立体几何(探索性问题1)-2022届高三数学一轮复习
(已下线)一轮复习大题专练45—立体几何(探索性问题1)-2022届高三数学一轮复习(已下线)专题23 立体几何中平行的存在性问题-【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册)空间向量与立体几何中的高考新题型福建省福州市2020-2021学年高一下学期期末数学试题第六章 立体几何初步(B卷·提升能力) -2021-2022学年高一数学北师大版2019必修第二册
解题方法
10 . 如图,四边形
是平行四边形,
,
,
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2021/7/11/2762007180943360/2776591743401984/STEM/e6fdefb3be214c26990b5ec407e3f648.png?resizew=300)
(1)求证:
平面
;
(2)求证:
平面
;
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a9fd76d8997e3b2db7d9cb9b72d0f80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058f36d315245b63a811d5c6f348c17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef70da9e89c22b885799294eb704d227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2021/7/11/2762007180943360/2776591743401984/STEM/e6fdefb3be214c26990b5ec407e3f648.png?resizew=300)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a779876cdfb2c489ad0eaed0f73e6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926584088b939200d88e64318f2d4e6c.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9b32570d553161be04d13954e92a1.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926584088b939200d88e64318f2d4e6c.png)
您最近一年使用:0次
2021-08-01更新
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3卷引用:一轮复习大题专练48—立体几何(距离问题2)—2022届高三数学一轮复习
(已下线)一轮复习大题专练48—立体几何(距离问题2)—2022届高三数学一轮复习山东省德州市2020-2021学年高一下学期期末数学试题安徽省北京师范大学蚌埠附属学校2022-2023学年高二上学期数学期中复习试题