名校
解题方法
1 . 在三棱锥A-BCD中,E,F分别是棱BC,CD上的点,且
平面ABD.
![](https://img.xkw.com/dksih/QBM/2021/12/26/2887270960095232/2927470886961152/STEM/12f3d43a-0b22-4d9f-8b9a-39d8d7f9afaa.png?resizew=194)
(1)求证:
平面AEF;
(2)若
平面BCD,
,
,记三棱锥F-ACE与三棱锥F-ADE的体积分别为
,
,且
,求三棱锥B-ADF的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a407b262c22419f73396170ecdc849.png)
![](https://img.xkw.com/dksih/QBM/2021/12/26/2887270960095232/2927470886961152/STEM/12f3d43a-0b22-4d9f-8b9a-39d8d7f9afaa.png?resizew=194)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3c0430146b7b8d40ebb721a4d0de19.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd657e48b15b9b54a55817e2c26b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac9a2626064adb81edc2bbf36cb1d65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4764374bd2fb78e59cd0b283637baeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63055a5d6916f99d07fede49120753f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e449727158281e3370255436481a848.png)
您最近一年使用:0次
2022-03-02更新
|
1228次组卷
|
7卷引用:山西省晋中市2021届高三三模数学(文)试题
解题方法
2 . 如图,在四棱锥
中,底面
直角梯形,
,
,
是等边三角形,且
,
.
![](https://img.xkw.com/dksih/QBM/2021/12/21/2877407610167296/2878777354461184/STEM/3d34b892-39b4-4b13-88f9-d937eb1d5720.png?resizew=353)
(1)设平面
平面
,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
平面
;
(2)若
,求证:平面
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/6dceb5cc71fc50f20649f6b9535fd914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93b4787448ee5858e81109cc208b7b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12d565cb0801c5e3025d2a030182a2e.png)
![](https://img.xkw.com/dksih/QBM/2021/12/21/2877407610167296/2878777354461184/STEM/3d34b892-39b4-4b13-88f9-d937eb1d5720.png?resizew=353)
(1)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a09d03d26008b17d89e98125eff110c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747e7c4b2f940a9f0a7300a5d0f11cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d50a68fed1c23837d1267bdda5c1962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2021-12-23更新
|
369次组卷
|
2卷引用:山西省运城高中教育发展联盟2022届高三上学期12月阶段性检测文科数学试题
名校
解题方法
3 . 如图,三棱锥
中,平面
平面
,点
在线段
上,且
,点
在线段
上,且
平面
.
![](https://img.xkw.com/dksih/QBM/2021/11/5/2844851946840064/2850376136589312/STEM/e92562356abe4ad79039ead9eb5ddf0b.png?resizew=285)
(1)证明:
平面
;
(2)若四棱锥
的体积为7,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42deb6707a04e7810c10a8370f2422d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93eb64abcc57d57256902c99f071b751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://img.xkw.com/dksih/QBM/2021/11/5/2844851946840064/2850376136589312/STEM/e92562356abe4ad79039ead9eb5ddf0b.png?resizew=285)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac49e2f895d4667404c1e648fa70dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
名校
4 . 如图,在棱长为2的正方体ABCD﹣A1B1C1D1中,过A1B且与AC1平行的平面交B1C1于点P,则PC1=( )
A.2 | B.![]() |
C.![]() | D.1 |
您最近一年使用:0次
2021-10-22更新
|
817次组卷
|
12卷引用:山西省吕梁市2021届高三三模数学(理)试题
山西省吕梁市2021届高三三模数学(理)试题陕西省2021届高三下学期教学质量检测测评(五)理科数学试题(已下线)“超级全能生”2021届高三全国卷地区5月联考试题(乙卷)数学(理)试题(已下线)“超级全能生”2021届高三全国卷地区5月联考试题(甲卷)数学(理)试题江西省上高二中2021届高三年级考前热身数学(理)试题北京市北京理工大学附属中学2021-2022学年高二10月数学月考试题广东省中山市2022届高三上学期期末数学试题(已下线)专题三 立体几何检测-2022年高考数学二轮复习讲练测(新教材·新高考地区专用)(已下线)第2讲 空间点、线、面的位置关系(练)-2022年高考数学二轮复习讲练测(新教材地区专用)第十一章 立体几何初步单元测试卷江苏省苏州市常熟中学2022-2023学年高一英才班下学期6月学业质量阳光指标调研数学试题(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)
名校
5 . 如图,在五面体
中,底面四边形
为正方形,平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/070bb32e-6edf-4bb8-8a69-25f2764f72af.png?resizew=182)
(1)求证:
;
(2)若
,
,
,
,求平面
与平面
所成的锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0ee6608ab3ae63b54cd3330d30b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5663257819e5f0fcc7da5306fea7e37.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/070bb32e-6edf-4bb8-8a69-25f2764f72af.png?resizew=182)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c91baecb97fadd4f8ab49e6effcbc04.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c388d0a3f0a8d9fb0b9576d00af225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b7f93bcf621d7a3abd80bb3e3d64a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333c00b9a8e6485b44478b7343238601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
您最近一年使用:0次
2021-09-25更新
|
529次组卷
|
4卷引用:山西省太原市第五中学2022届高三上学期9月月考数学(理)试题
6 . 在三棱锥
中,
,
分别是棱
,
上的点,且
平面
.
![](https://img.xkw.com/dksih/QBM/2021/5/7/2716000998465536/2718557312901120/STEM/42d664bb-6879-47e0-b485-b7112ecb5b5a.png?resizew=309)
(1)求证:
平面
;
(2)若
平面
,
,
,二面角
的平面角的余弦值为
,求直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://img.xkw.com/dksih/QBM/2021/5/7/2716000998465536/2718557312901120/STEM/42d664bb-6879-47e0-b485-b7112ecb5b5a.png?resizew=309)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f306ff6d237cd9d847aa109acf9333d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd657e48b15b9b54a55817e2c26b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac9a2626064adb81edc2bbf36cb1d65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd29cc627d76412c236aac6b29fa0fdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08e91d2fa9519a5f48d488176700499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
解题方法
7 . 在四棱锥
中,底面
是边长为
的正方形,P在底面的射影为正方形的中心
点为
中点.点T为该四棱锥表面上一个动点,满足
都平行于过
的四棱锥的截面,则动点T的轨迹围成的多边形的面积为( )
![](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/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9dbae132122a9337cc8db5130189bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e87d4d9a3b0f961483bf4f68be9c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e4b0ddfa5aec71d6df83e574b56150.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知矩形
所在的平面与半圆弧
所在的平面垂直,M是半圆弧上异于C,D的点,l为平面
与平面
的交线.
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648555463458816/2649966120656896/STEM/84b973346c414b0d986e102706a1d463.png?resizew=227)
(1)证明:
;
(2)若
,求B到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bb3820bab977db734f4335e4fde720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8a20c1fc8a5620db5db3a74eb01201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c5ef850e256c98ca4f033999e61311.png)
![](https://img.xkw.com/dksih/QBM/2021/2/1/2648555463458816/2649966120656896/STEM/84b973346c414b0d986e102706a1d463.png?resizew=227)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0bcc3c5b41a01362779683f5b70710c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3ee29659f943a261799adcdb2a301d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddb7c2ca1b6bee86cb24fed02e40da2.png)
您最近一年使用:0次
9 . 已知a,b是两条不同的直线,
,
是两个不同的平面,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/a0e5acb08c1dd5f53d8ad43d53acb199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08666162eebf18ddcc96288bc3854f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d07324ee4dec98ce18a2f37728791b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
A.充要条件 | B.充分不必要条件 |
C.必要不充分条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2020-08-16更新
|
849次组卷
|
16卷引用:山西省大同市2022届高三上学期学情调研测试数学(理)试题
山西省大同市2022届高三上学期学情调研测试数学(理)试题2020届四川省绵阳南山中学高三3月网络考试数学(文)试题2020届大教育全国名校联盟高三质量检测第一次联考文科数学试题2020届安徽省大教育全国名校联盟高三上学期质量检测第一次联考文科数学试题2020届陕西省咸阳市高三第二次高考模拟检测数学(理)试题2020届陕西省咸阳市高三第二次高考模拟检测数学(文)试题宁夏银川九中、石嘴山三中、平罗中学三校2020届高三下学期联考数学(理科)试题(已下线)专题1.2 命题及其关系、充分条件与必要条件(精测)-2021届高考数学(理)一轮复习讲练测(已下线)专题1.2 命题及其关系、充分条件与必要条件 (精测)-2021届高考数学(文)一轮复习讲练测陕西省咸阳市2020届高三下学期4月高考模拟理科数学试题(已下线)调研测试二(A卷 基础过关检测)-2021年高考数学(理)一轮复习单元滚动双测卷江苏省泰州市姜堰中学2020-2021学年高二下学期期末学情调测数学试题江苏省南京市第一中学2020-2021学年高一下学期5月阶段性检测数学试题广西南宁市2022届高三5月模拟考数学(理)试题广西南宁市2022届高三下学期5月模拟考试数学(文)试题沪教版(2020) 必修第三册 精准辅导 第10章 10.3(2)直线与平面平行(第2课时)