1 . 如图,四棱锥
的底面
是菱形,
,
平面
,
是
的中点,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2018/2/3/1874292451753984/1875289819217920/STEM/486103d5a32f4055bfaf47b786839aeb.png?resizew=169)
(
)求证:平面
平面
.
(
)求证:
平面
.
![](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/00ec435aa1401dbce7863b531bf2f3e5.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2018/2/3/1874292451753984/1875289819217920/STEM/486103d5a32f4055bfaf47b786839aeb.png?resizew=169)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac48b9ac8efbf41d6ab5242d247bd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486a67e7974099983dabc0f1b2b4675e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37793a3a810e823e10c340986f55ddd.png)
您最近一年使用:0次
2018-02-04更新
|
810次组卷
|
9卷引用:江苏省扬州中学2020-2021学年高二上学期开学检测数学试题
江苏省扬州中学2020-2021学年高二上学期开学检测数学试题(已下线)2012-2013学年山东省威海市高一上学期期末考试数学试卷2015-2016学年河南省许昌市三校高一上学期期末文科数学试卷天津七校联考2017-2018学年高二上期中数学(文)试题福建省厦门市双十中学2018-2019学年高一下学期第一次月考数学试题江苏省南京市秦淮中学2020-2021学年高二上学期第一次段考数学试题内蒙古阿拉善盟第一中学2020-2021学年高三上学期开学考试理科数学试题2022年天津市南开区普通高中学业水平合格性考试数学模拟试题天津市静海县第一中学、杨村一中、宝坻一中等六校2017-2018学年高二上学期期中联考数学试题
2 . 设
和
为不重合的两个平面,给出下列命题:
(1)若
内的两条相交直线分别平行于
内的两条直线,则
平行于
;
(2)若
外一条直线
与
内的一条直线平行,则
和
平行;
(3)设
和
相交于直线
,若
内有一条直线垂直于
,则
和
垂直;
(4)直线
与
垂直的充分必要条件是
与
内的两条直线垂直.
上面命题中,真命题的序号 (写出所有真命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(1)若
![](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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(3)设
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(4)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
上面命题中,真命题的序号 (写出所有真命题的序号)
您最近一年使用:0次
2019-01-30更新
|
1735次组卷
|
10卷引用:2014-2015学年江苏省扬州中学高二上学期期中考试数学试卷
2014-2015学年江苏省扬州中学高二上学期期中考试数学试卷2009年普通高等学校招生全国统一考试数学试题(江苏卷)(已下线)2012届山东省临清三中高三期末冲刺试题理科数学(已下线)2014届江苏省灌云高级中学高三第一学期期中考试文科数学试卷(已下线)2014届人教版高考数学文科二轮专题复习提分训练4练习卷江苏省睢宁县古邳中学2017-2018学年高二上学期第一次月考数学试题河南省濮阳市2018届高三第二次模拟考试数学(文)试题第二章 应用·拓展·综合训练(二)(已下线)考向33 空间中的平行关系人教B版(2019) 必修第四册 学习帮手 第十一章 检测
名校
3 . 如图,在四棱锥
中,底面
是菱形,且
.
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572002372861952/1572002378866688/STEM/f0d8031b426e486c9c2acb5745ca9456.png)
(1)求证:
;
(2)若平面
与平面
的交线为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6153163fecdf3f410411048428ccaef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d0710321d97361e5782124bbf7f0c9.png)
![](https://img.xkw.com/dksih/QBM/2015/3/12/1572002372861952/1572002378866688/STEM/f0d8031b426e486c9c2acb5745ca9456.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8606472edf34185e67ab493af7e06f32.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c70a73fc2e59b8bdf802b0072243ab0.png)
您最近一年使用:0次
2016-12-03更新
|
893次组卷
|
12卷引用:江苏省仪征中学2017届高三下学期期初测试数学试题
江苏省仪征中学2017届高三下学期期初测试数学试题2015届江苏省淮安市高三数学第一次调研测试理科数学试卷2015届江苏省淮安市高三数学第一次调研测试文科数学试卷2015届江苏省宿迁市高三上学期第一次摸底考试数学试卷2015届江苏省盐城市时杨中学高三1月调研理科数学试卷2015届江苏省盐城市时杨中学高三1月调研文科数学试卷2015届江苏省宿迁市高三上学期第一次摸底考试理科数学试卷2015届江苏省宿迁市高三上学期第一次摸底考试文科数学试卷江苏省常州市溧阳市2019-2020学年高三上学期期中数学(文)试题(已下线)13.2 基本图形位置关系-2020-2021学年高一数学同步课堂帮帮帮(苏教版2019必修第二册)/13.2 基本图形位置关系-2020-2021学年高一数学同步课堂帮帮帮(苏教版2019必修第二册)云南省梁河县第一中学2020-2021学年高一下学期期中考试数学试题 新疆乌鲁木齐市第三十一中学2020-2021学年高一下学期第一次月考数学试题
解题方法
4 . 如图,已知直三棱柱
中,
,
分别是棱
,
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/27c59472-9751-4cfa-b139-676c66bd2085.png?resizew=172)
(1)求证:
⊥平面
;
(2)求证:
平面
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/9/27c59472-9751-4cfa-b139-676c66bd2085.png?resizew=172)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c1cbbbe9f9f1cb5cf834240b7e44b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3284befd44bf296dcfd1deaf99de45.png)
您最近一年使用:0次
解题方法
5 . 如图,已知直三棱柱
中,
,
、
分别为
、
中点,
.
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572473779306496/1572473785376768/STEM/c66d8defe9bd45c98a43f254e85b3450.png?resizew=169)
(1)求证:
平面
;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77e4bef1e4e2b748afa3caa59f926201.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572473779306496/1572473785376768/STEM/c66d8defe9bd45c98a43f254e85b3450.png?resizew=169)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fe22d526d1da4d61436c59e7517328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
您最近一年使用:0次
解题方法
6 . 如图,已知四棱锥
的底面是直角梯形,
,
,侧面
底面
,点
在
上,且
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2016/1/18/1572442262896640/1572442268696576/STEM/b13dfb268ac74908a2fe9bf4eaf28310.png?resizew=213)
(1)求证:
∥平面
;
(2)求证:平面
平面
;
(3)棱
上是否存在一点
,使得平面
平面
,若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bce559fceb4731f8d4323410075a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54801ffa5de83f151b38684e807cde6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/b1a2ce8c267f85b9aeccbd64a021b121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/2016/1/18/1572442262896640/1572442268696576/STEM/b13dfb268ac74908a2fe9bf4eaf28310.png?resizew=213)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e106f4233be16e98f2c1bf9f1635622.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(3)棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3834847059043d4677c6be33d9a81141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fddc06fe64a538283be16c816f059e9.png)
您最近一年使用:0次
7 . 如图,三棱锥
中,侧面
是等边三角形,
是
的中心.
![](https://img.xkw.com/dksih/QBM/2015/7/27/1572194870935552/1572194876825600/STEM/bca29b33b2ba4727b201187305460d23.png)
(1)若
,求证
;
(2)若
上存在点
,使
平面
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f845377f09f1f436db948202007f6e55.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/dd936a2405709574af0a73543d94ad9c.png)
![](https://img.xkw.com/dksih/QBM/2015/7/27/1572194870935552/1572194876825600/STEM/bca29b33b2ba4727b201187305460d23.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced90ea9183e02e54da78709e3cb9169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17be90850a55d8b037e15d45de2bab0b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4011a83dfd460a5d69728131da8ab2.png)
您最近一年使用:0次
名校
8 .
表示直线,
表示平面,下列命题正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() | D.若![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2016-12-03更新
|
1570次组卷
|
7卷引用:江苏省扬州市2018-2019学年高一下学期期末数学试题
江苏省扬州市2018-2019学年高一下学期期末数学试题2015届上海市普陀区高三二模理科数学试卷2015届上海市普陀区高三二模文科数学试卷【全国百强校】江苏省扬州市扬州中学2018—2019学年度高一第二学期期末检测数学试题上海市宝山区宝山中学2017-2018学年高二下学期期中数学试题(已下线)8.4-8.6单元测试2【师说智慧课堂】新教材人教A(2019)必修(第二册)(已下线)第05讲线线、线面、面面垂直的判定与性质(核心考点讲与练)(1)
9 . 如图,在三棱柱
中,
为棱
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/2015/4/2/1572061514702848/1572061520601088/STEM/b8a67aa5821b419a9649b5b8e215c8b7.png?resizew=179)
求证:(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
平面
;
(2)
∥平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d7ab086517993ad74f3b29ebe1d63e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a7d50b7186a5089530de7e6c5cd425.png)
![](https://img.xkw.com/dksih/QBM/2015/4/2/1572061514702848/1572061520601088/STEM/b8a67aa5821b419a9649b5b8e215c8b7.png?resizew=179)
求证:(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41104641f3e2260d00aeadf8fb8a078a.png)
您最近一年使用:0次
2016-12-03更新
|
457次组卷
|
3卷引用:2015届江苏省扬州中学高三3月期初考试数学试卷
名校
解题方法
10 . 如图,在四棱锥P‐ABCD中,四边形ABCD为正方形,PA⊥平面ABCD,E为PD的中点.
![](https://img.xkw.com/dksih/QBM/2019/4/28/2192340175757312/2192736900956160/STEM/3f48a3b72a0144afa79954f390c6d616.png?resizew=144)
求证:(1)PB∥平面AEC;
(2)平面PCD⊥平面PAD.
![](https://img.xkw.com/dksih/QBM/2019/4/28/2192340175757312/2192736900956160/STEM/3f48a3b72a0144afa79954f390c6d616.png?resizew=144)
求证:(1)PB∥平面AEC;
(2)平面PCD⊥平面PAD.
您最近一年使用:0次
2016-12-03更新
|
1528次组卷
|
5卷引用:2014-2015学年江苏省扬州中学高二上学期期中考试数学试卷