解题方法
1 . 圆锥
的底面半径为
,母线长为
,
是圆锥
的轴截面,
是
的中点,
为底面圆周上的一个动点(异于
、
两点),则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.存在点![]() ![]() | B.存在点![]() ![]() |
C.三棱锥![]() ![]() | D.三棱锥![]() ![]() |
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名校
2 . 已知两条不同的直线l,m及三个不同的平面α,β,γ,下列条件中能推出
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
A.l与α,β所成角相等 | B.![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
2023-04-24更新
|
2088次组卷
|
9卷引用:宁夏回族自治区石嘴山市第三中学2023届高三第四次模拟考试数学(文)试题
宁夏回族自治区石嘴山市第三中学2023届高三第四次模拟考试数学(文)试题黑龙江省齐齐哈尔市2023届高三一模数学试题(已下线)模块六 专题11 易错题目重组卷( 黑龙江卷)宁夏回族自治区银川一中2023届高三三模数学(理)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(讲)(已下线)第四节?直线,平面垂直的判定与性质(讲)第八章 立体几何初步(单元测试)-【同步题型讲义】天津市第四十二中学2022-2023学年高一下学期5月月考数学试题山东省济宁市微山县第二中学2022-2023学年高一下学期6月月考数学试题
3 . 在正方体
中,
,
,
,
分别为
,
,
,
的中点,则异面直线
与
所成角的大小是( )
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-04更新
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454次组卷
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21卷引用:宁夏石嘴山市第三中学2023-2024学年高三上学期期中考试文科数学试卷
宁夏石嘴山市第三中学2023-2024学年高三上学期期中考试文科数学试卷(已下线)2021届全国著名重点中学新高考冲刺数学试题(5)(已下线)“8+4+4”小题强化训练(38)利用空间向量求空间角-2022届高考数学一轮复习(江苏等新高考地区专用)(已下线)考向32 空间点、线、面的位置关系(重点)-备战2022年高考数学一轮复习考点微专题(新高考地区专用)山西省运城市2022届高三上学期期中数学(文)试题河南省实验中学2021-2022学年高三上学期期中考试 数学(文)试题黑龙江省佳木斯市第一中学2021-2022学年高三上学期第五次调研考试数学理科试题河南省周口市六校2021-2022学年高三上学期12月联考文科数学试题内蒙古包头市第四中学2021-2022学年高三上学期期中考试数学(理)试题四川省邻水县第二中学2021-2022学年高三上学期9月月考数学理科试题(已下线)重难点6-1 空间角与空间距离的求解(8题型+满分技巧+限时检测)安徽省合肥一中、六中、八中2020-2021学年高二上学期期末理科数学试题安徽省合肥市第六中学2020-2021学年高二上学期期末数学(理)试题广西壮族自治区玉林市第十一中学(六校联考)2020-2021学年高一下学期期中数学试题湖北省十堰市丹江口市第一中学2021-2022学年高二上学期9月月考数学试题广西玉林市直六所普通高中2020-2021学年高一下学期期中数学试题(已下线)13.2.2 空间两条直线的位置关系-【帮课堂】(苏教版2019必修第二册)(已下线)专题8.6 空间直线、平面的垂直(一)【八大题型】-举一反三系列(已下线)6.3空间点、直线、平面之间的位置关系-【帮课堂】(北师大版2019必修第二册)(已下线)重难点专题12 利用几何法求异面直线所成的角-【帮课堂】(苏教版2019必修第二册)(已下线)第十一章:立体几何初步章末重点题型复习(1)-同步精品课堂(人教B版2019必修第四册)
4 . 已知直线
,平面
且
给出下列命题:
①若
∥
,则
;
②若
,则
∥
;
③若
,则
;
④若
∥
,则
. 其中正确的命题的个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b30b3a9e58846c80f3750b4bacd35ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340fe0e3877dc1d49a17fcbaa2ea91c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9033e4adb4719b34c0b1640dec405fd.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c62c14a017007a6bdfe25eada9c433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea7622eca600d959571b8583e868418.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e91e7a3b0e2708782def67d197589b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea7622eca600d959571b8583e868418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e91e7a3b0e2708782def67d197589b9.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e91e7a3b0e2708782def67d197589b9.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2016-12-03更新
|
1688次组卷
|
6卷引用:【全国百强校】宁夏石嘴山市第三中学2019届高三12月月考数学(理)试题
5 . 如图,四棱锥
中,
底面
,底面
是正方形,
分别是
边上的中点,且
=
.
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054882914304/STEM/4993279894ff420cbb3d776643b26a5f.png)
(1)求
平面
;
(2)求四棱锥
的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6153163fecdf3f410411048428ccaef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e458f4503e211b542f6f30c8a34eaca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4762d59261265112fef9ac74d5bb9a36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71d05cabe8b2ed458352638ef291ab45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054882914304/STEM/4993279894ff420cbb3d776643b26a5f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6153163fecdf3f410411048428ccaef5.png)
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6 . 已知
是两个不同的平面,
是两条不同的直线给出下列命题:
①若
则
;
②若
,则
;
③如果
是异面直线,那么
与
相交;
④若
则
且
.
其中的真命题是
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054882652160/STEM/a2c6b57d6609411f9cbdb557b8c2e88d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
①若
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054882652160/STEM/aaf82e99af4b4f2cb56e632baf6b786a.png)
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054882652160/STEM/1c2bd323a96d4551ab48bde5845ef696.png)
②若
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054882652160/STEM/d6b9d2d7997244e2a82d4f4e25f78ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334c3eff1867aabde092c37085c06e10.png)
③如果
![](https://img.xkw.com/dksih/QBM/2016/10/1/1573054876893184/1573054882652160/STEM/ea009d7b3c914395b520d0e1c51b3e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0755cd92a71e6ea6fbdb488293e38a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf648bee3664d4c643e563128fb7bbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72825599108df9faaf1153a631cbb31.png)
其中的真命题是
A.①② | B.②③ | C.③④ | D.①④ |
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7 . 如图,四棱锥P-ABCD的底面是直角梯形,
,
,
,
平面
.
![](https://img.xkw.com/dksih/QBM/2016/8/3/1572952259837952/1572952266121216/STEM/936f9b2b5c614f779286eb9ea812466a.png)
(Ⅰ)设
为线段
的中点,求证:
//平面
;
(Ⅱ)若
,求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083201b6b527a852ff51831bd71c99cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d64dcd206d8e3eacfed9c502ba0a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e839ac941e8bf536ff35a12e56c7a400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551e4cd76a93de89ea2750160fe74923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2016/8/3/1572952259837952/1572952266121216/STEM/936f9b2b5c614f779286eb9ea812466a.png)
(Ⅰ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5141325bf392a10ca161423dae900438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2016-12-04更新
|
374次组卷
|
2卷引用:【全国百强校】宁夏石嘴山市第三中学2019届高三12月月考数学(理)试题
8 . 已知直线
,
和平面
,
,下列命题中正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c62c14a017007a6bdfe25eada9c433.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2016-12-03更新
|
711次组卷
|
3卷引用:宁夏石嘴山市第三中学2021届高三四模数学(文)试题