名校
解题方法
1 . 记正四棱柱
为
,截面
将正四棱柱
分成两部分,点E,F,G,H分别在棱
,
,
,
上,且
,
,记
,
,
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.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/cb9458b63a4e8425c6f59e0e37887d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681e6304ec3b733adde692837bf2602a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17eb884c0e7414be81990409dba252f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bc8a47c5268ebfc7329b3398bb9f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463c91e95bf032d464b20f0c53f39d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6125e6e8d7406d54c93512a9fb2cbbe.png)
A.四边形![]() |
B.![]() |
C.若截面![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知
,
,
是三个不同的平面,
,
是两条不同的直线,且
,
则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e3e15e5701eafd1dc14d1bf6ca3ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4937456745b33960579bad21f6e539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-04-22更新
|
918次组卷
|
30卷引用:安徽省淮北市2022届高三上学期一模文科数学试题
安徽省淮北市2022届高三上学期一模文科数学试题安徽省江淮名校2022~2023学年高一下学期5月阶段联考数学试题北京市石景山区2024届高三下学期3月统一练习数学试卷山东省实验中学2024届高三下学期第一次模拟考试数学试题山西省朔州市怀仁市第一中学校2024届高三下学期第四次模拟考试数学试题2024届江苏省南京师范大学附属扬子中学高三第二次模拟考试数学试卷北京市海淀区2019-2020学年高三上学期期末数学试题北京市北京交通大学附属中学2019—2020学年度高二第二学期4月月考数学试题(已下线)江苏省南通市如皋市2020-2021学年高三上学期10月第一次教学质量调研数学试题北京五十七中2020--2021学年高二上学期数学期中考试试题(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)专题6.3 空间中的平行关系-2021-2022学年高一数学北师大版2019必修第二册北京市第二中学2022—2023学年高一下学期第六学段阶段性考试数学试题(已下线)第七章 立体几何与空间向量 第三节?第二课时直线,平面平行的判定与性质(A素养养成卷)(已下线)第09讲 空间的平行关系-【寒假预科讲义】(人教A版2019必修第二册)(已下线)第一章 点线面位置关系 专题一 空间平行关系的判定与证明 微点2 空间直线平行的判定与证明综合训练【基础版】上海市进才中学2023-2024学年高三下学期3月月考数学试卷河南省新乡市封丘县第一中学2023-2024学年高一下学期期中数学试题(已下线)8.5空间直线、平面的平行——课后作业(基础版)(已下线)8.5.3 平面与平面平行【第一练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)8.5.3 平面与平面平行-同步题型分类归纳讲与练(人教A版2019必修第二册)浙江省温州中学2023-2024学年高一下学期期中考试数学试题福建省莆田第一中学2023-2024学年高一下学期期中考试数学试题海南省海口市琼山华侨中学2023-2024学年高一下学期期中考试数学试卷河南省信阳高级中学2023-2024学年高一下学期5月期中考试数学试题(已下线)第8.5.3讲 平面与平面平行-同步精讲精练宝典(人教A版2019必修第二册)(已下线)专题13.5空间平面与平面的位置关系-重难点突破及混淆易错规避(苏教版2019必修第二册)福建省福州市闽侯县第一中学2023-2024学年高一下学期第二次月考(5月)数学试题广东省东莞市海逸外国语学校2023-2024学年高一下学期第三次质量检测数学试题宁夏回族自治区石嘴山市第三中学2023-2024学年高一下学期5月月考数学试题
名校
3 . 如图,空间六面体
中,
,
,平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
平面
为正方形,平面
平面
.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
;
(2)若
,求平面
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec123fb520885455b57bf7613e1b9b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa32bd49a6554a2722444d71315920f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cdffc89ee1fe3e56de89222ad3313cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0b950951cf1ebf3f04b77ca00301e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecad5f4090684e0c60fb228a2ba471c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378c9b0145b88657c2536e43d27123fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20af148464904e21f4374cc8fb886fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2024-03-14更新
|
478次组卷
|
3卷引用:安徽省滁州市2024届高三下学期适应性考试数学试题
名校
解题方法
4 . 如图,在三棱柱
中,四边形
是边长为4的菱形.
,点D为棱AC上动点(不与A,C重合),平面B1BD与棱A1C1交于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/3/af455afc-a8e2-49fe-b308-3fe888b315d0.png?resizew=168)
(1)求证:
;
(2)若
,平面ABC⊥平面
,
,求直线BC与平面B1BDE所成角的正弦值.
![](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/ae617fbbfc82b69086f5184bd5cbca26.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/3/af455afc-a8e2-49fe-b308-3fe888b315d0.png?resizew=168)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a2f55320edad0d0e73df2877a38538.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b67bd44e1d9d2739714f0b9cf3bc046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70d708336d4f15e7fca0b26acb353b2.png)
您最近一年使用:0次
2023-05-02更新
|
826次组卷
|
3卷引用:安徽省滁州市定远中学2023届高三下学期毕业生调研考试(二)数学试卷
名校
解题方法
5 . 如图,平行六面体
中,点P在对角线
上,
,平面
平面
.
三点共线;
(2)若四边形
是边长为2的菱形,
,
,求二面角
大小的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23f01af749100e1888bba06268843db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f2ff4c165222af48ba96a6014276b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
(2)若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b70c74a0f397e6e3e6d6f25429360a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d927585a17c2e98ef7d5a9589a26ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d294d69caac577339f11f477b2047e.png)
您最近一年使用:0次
2023-04-16更新
|
3139次组卷
|
5卷引用:安徽省安庆市示范高中2023届高三下学期4月联考数学试卷
名校
解题方法
6 . 如图,三棱柱
中,面
面
,
.过
的平面交线段
于点
(不与端点重合),交线段
于点
.
为平行四边形;
(2)若
到平面
的距离为
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425dbda940137a78a109969e66665487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70d708336d4f15e7fca0b26acb353b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](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/14bbb740f8bc13b4be8ca4dc0aef5442.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27039783266a69df2a96ea0c36cbdcd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27039783266a69df2a96ea0c36cbdcd5.png)
您最近一年使用:0次
2022-05-30更新
|
1452次组卷
|
7卷引用:安徽省定远中学2023届高三下学期高考冲刺卷(一)数学试卷
名校
解题方法
7 . 正方体
中,点
在棱
上,过点
作平面
的平行平面
,记平面
与平面
的交线为
,则
与
所成角的大小为( )
![](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/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9c33c356781f0f691d082ee8a32204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-22更新
|
1502次组卷
|
6卷引用:安徽省皖江名校2022届高三下学期最后一卷文科数学试题
安徽省皖江名校2022届高三下学期最后一卷文科数学试题安徽省皖江名校2022届高三下学期最后一卷理科数学试题(已下线)专题30 直线、平面平行的判定与性质-2(已下线)考向27 空间点、直线、平面之间的位置关系(重点)(已下线)6.4.2平面与平面平行(课件+练习)湖北省武汉市四校联合体2021-2022学年高一下学期期末联考数学试题
名校
解题方法
8 . 如图,在三棱柱
中,过
的截面与AC交于点D,与BC交于点E,该截面将三棱柱分成体积相等的两部分,则
( )
![](https://img.xkw.com/dksih/QBM/2022/5/14/2979327697805312/2980503630413824/STEM/a6f14516b93a41a6bcbbab2a079756ac.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6895f16838ba47fef16fa80a8eb06c.png)
![](https://img.xkw.com/dksih/QBM/2022/5/14/2979327697805312/2980503630413824/STEM/a6f14516b93a41a6bcbbab2a079756ac.png?resizew=132)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-16更新
|
2058次组卷
|
6卷引用:安徽师范大学附属中学2022届高三下学期适应性考试理科数学试题
安徽师范大学附属中学2022届高三下学期适应性考试理科数学试题河北省张家口市2022届高三第三次模拟数学试题新疆生产建设兵团第二中学2021-2022学年高一下学期期末考试卷数学试题辽宁省沈阳市重点高中协作体2021-2022学年高一下学期期末数学试题(已下线)专题30 直线、平面平行的判定与性质-3(已下线)专题08 空间直线与平面的平行问题(1)-期中期末考点大串讲
名校
解题方法
9 . 已知正方体
,
的中点为M,过
,D、M的平面把正方体分成两部分,则较小部分与较大部分的体积之比为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/27/339ca142-f649-4d1f-a941-d1f0101aff9b.png?resizew=180)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/27/339ca142-f649-4d1f-a941-d1f0101aff9b.png?resizew=180)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 如图,三棱锥
中,点
在平面
的投影为点
,
,
,点
分别是线段
,
的中点,点
在线段
上.
![](https://img.xkw.com/dksih/QBM/2021/5/19/2724317606764544/2726332800663552/STEM/ca3f3ffb-8256-4839-80e6-297b1897b28e.png?resizew=246)
(1)若
,求证:
;
(2)若
平面
,求四面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91b2f1719b081357ea38cf47653592a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e45142459df2244062cdc856b012a8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddbb7f29e8672f34941fe70b0a1e45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/2021/5/19/2724317606764544/2726332800663552/STEM/ca3f3ffb-8256-4839-80e6-297b1897b28e.png?resizew=246)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a606499df4459e5fbd6021c61a805359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986d7dffcd6a92bbfeedcc60a0620ca.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbc7987494d031e1d051da8e5282522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bb8f443480c2d391a145377e212d70.png)
您最近一年使用:0次
2021-05-22更新
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546次组卷
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2卷引用:安徽省部分重点学校2021届高三下学期最后一卷文科数学试题