11-12高三上·黑龙江哈尔滨·期末
1 . 点P在正方体
的面对角线
上运动,则下列四个命题:
![](https://img.xkw.com/dksih/QBM/2011/12/6/1570558621270016/1570558626611200/STEM/833f475b890c4bd785d7f030aec78171.png?resizew=156)
①三棱锥
的体积不变;
②
∥平面
;
③
;
④平面
平面
.
其中正确的命题序号是_______________
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485661405184/1571485666877440/STEM/5c0210d2bf824a5fbbc09e494f4169b8.png?resizew=113)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485661405184/1571485666877440/STEM/79eccb75ed4842b4bd8f3bce291ce7e5.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2011/12/6/1570558621270016/1570558626611200/STEM/833f475b890c4bd785d7f030aec78171.png?resizew=156)
①三棱锥
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485661405184/1571485666877440/STEM/2c740f8db9ad44db9a1460d1f800b2a3.png?resizew=62)
②
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485661405184/1571485666877440/STEM/56fafffb18ab48a38a903521549f7643.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485661405184/1571485666877440/STEM/e9b711c49dc64561bcf0195603840930.png?resizew=37)
③
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485661405184/1571485666877440/STEM/805ffa49936e480a84de4ee04363626e.png?resizew=62)
④平面
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485661405184/1571485666877440/STEM/fda0108351b04d45bd528adb33781d62.png?resizew=51)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485661405184/1571485666877440/STEM/e9b711c49dc64561bcf0195603840930.png?resizew=37)
其中正确的命题序号是
您最近一年使用:0次
2 . 三棱柱ABC-A1B1C1中,底面边长和侧棱长都相等,
BAA1=
CAA1=60°则异面直线AB1与BC1所成角的余弦值为____________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665ffcdb7c57534dc184cc840471f2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665ffcdb7c57534dc184cc840471f2f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/232a96c9-4b1f-4b2b-a87c-562f215539c5.png?resizew=200)
您最近一年使用:0次
2016-12-01更新
|
4690次组卷
|
19卷引用:福建省泉州市晋江市南侨中学2019-2020学年高二上学期11月月考数学试题
福建省泉州市晋江市南侨中学2019-2020学年高二上学期11月月考数学试题2012年全国普通高等学校招生统一考试理科数学(大纲卷)(已下线)2012-2013学年江西省赣州市十一县高二上学期期中联考理科数学试卷2015-2016学年江西吉安一中高二上第一次段考理科数学卷2015-2016学年黑龙江省双鸭山一中高二上10月月考理科数学试卷山西省太原市2018届高三上学期期末考试数学理试题2019年11月广西壮族自治区柳州市一模数学(理)试题(已下线)理科数学-6月大数据精选模拟卷06(新课标Ⅲ卷)(满分冲刺篇)(已下线)理科数学-6月大数据精选模拟卷06(新课标Ⅱ卷)(满分冲刺篇)【新教材精创】1.1+空间向量及其运算(导学案)-人教A版高中数学选择性必修第一册陕西省西安市唐南中学2019-2020学年高一上学期12月月考数学试题(已下线)1.1 空间向量及其运算(精炼)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第一册(人教版A版)高中数学解题兵法 第八十八讲 重在构造、移花接木吉林省长春市实验中学2021-2022学年高二上学期期中数学试题(已下线)专题06 求空间角妙招迭出,施向量法更添风采河南省信阳高级中学2022-2023学年高二上学期10月月考数学试题江西省宜春市丰城第九中学2022-2023学年高二上学期期末数学试题(已下线)6.1.2空间向量的数量积(1)(已下线)第二章 立体几何中的计算 专题一 空间角 微点2 异面直线所成角(二)【培优版】
12-13高一上·福建泉州·期末
名校
3 . 已知正四棱锥
(底面是正方形且侧棱都相等)中,
,
是侧棱
的中点,则异面直线
与
所成角的大小为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07659c048b00338fa48c2542f7d0653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570731291418624/1570731296735232/STEM/9b6bad2f2ddf4704bfba31e0e77cd6bb.png?resizew=153)
您最近一年使用:0次
2016-12-01更新
|
1209次组卷
|
3卷引用:2011-2012学年福建省安溪一中、养正中学高一上学期期末考试数学
(已下线)2011-2012学年福建省安溪一中、养正中学高一上学期期末考试数学甘肃省兰州市联片办学2019-2020学年高一上学期期末数学试题上海市进才中学2020-2021学年高二下学期期末数学试题
9-10高一下·江苏南京·期末
解题方法
4 . 已知两条不同直线
、
,两个不同平面
、
,给出下列命题:
①若
垂直于
内的两条相交直线,则
⊥
;
②若
∥
,则
平行于
内的所有直线;
③若![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/3b549d9ae2164104a26d3a5ab24b770a.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
,![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
且
⊥
,则
⊥
;
④若![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
,
,则
⊥
;
⑤若![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/3b549d9ae2164104a26d3a5ab24b770a.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
,![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
且
∥
,则
∥
.
其中正确命题的序号是__________ .(把你认为正确命题的序号都填上)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/3b549d9ae2164104a26d3a5ab24b770a.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/a69939a1037a41d39dbd6dd2ceda6fb4.png?resizew=17)
①若
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
②若
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
③若
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/3b549d9ae2164104a26d3a5ab24b770a.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/a69939a1037a41d39dbd6dd2ceda6fb4.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/3b549d9ae2164104a26d3a5ab24b770a.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/a69939a1037a41d39dbd6dd2ceda6fb4.png?resizew=17)
④若
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/a69939a1037a41d39dbd6dd2ceda6fb4.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/6dc360bab20a4dd38acc25de5d1155b1.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/a69939a1037a41d39dbd6dd2ceda6fb4.png?resizew=17)
⑤若
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/3b549d9ae2164104a26d3a5ab24b770a.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/d77b83d181f341f0a0218559480fec83.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/a69939a1037a41d39dbd6dd2ceda6fb4.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/f35e371d02f148f1a75feac68debfcef.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/a69939a1037a41d39dbd6dd2ceda6fb4.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/3b549d9ae2164104a26d3a5ab24b770a.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/10/17/1569856003596288/1569856008962048/STEM/973ad3e15c7846e3a7e1633dc07ea800.png?resizew=9)
其中正确命题的序号是
您最近一年使用:0次
2016-11-30更新
|
820次组卷
|
7卷引用:2011-2012学年福建省闽侯二中、闽清高级中学等五校高一第一学期期末联考数学
(已下线)2011-2012学年福建省闽侯二中、闽清高级中学等五校高一第一学期期末联考数学(已下线)2011-2012学年福建省福州八中高一第一学期期末考试数学(已下线)2010年江苏省南京六中高一第二学期期末考试数学试卷(已下线)2011年浙江省苍南县三校高二上学期期中考试数学理卷(已下线)2010-2011学年江苏省南京六中高一下学期期末考试数学(已下线)2012-2013学年浙江杭州西湖高级中学高二12月月考理科数学试卷2016-2017学年新疆库尔勒市四中高二上学期分班考试数学(理)试卷
11-12高三上·福建厦门·阶段练习
5 . 如图,正方体
中,M、N、P、Q、R、S分别是AB、BC、
、
、
、
的中点,则下列判断:
(1)PQ与RS共面;(2)MN与RS共面;(3)PQ与MN共面;则正确的结论是_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e97fcdcfd6183b976a61ef3222c607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
(1)PQ与RS共面;(2)MN与RS共面;(3)PQ与MN共面;则正确的结论是_____
![](https://img.xkw.com/dksih/QBM/2011/12/8/1570562481774592/1570562486951936/STEM/e71e099a1e29485e88b509b29c66713c.png?resizew=117)
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2010·上海长宁·二模
6 . 已知正四棱柱
中,
=
,
为
中点,则异面直线
与
所形成角的余弦值为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d9d62804daa6e74daaf8373d3f2e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
您最近一年使用:0次
2016-11-30更新
|
3492次组卷
|
13卷引用:2011—2012学年福建省泉州市一中高三上学期期中文科数学试卷
(已下线)2011—2012学年福建省泉州市一中高三上学期期中文科数学试卷(已下线)上海市长宁区2010届高三第二次模拟考试数学文(已下线)2010年江苏省启东中学高二下学期期中考试数学(理)(已下线)2011-2012学年河北省正定中学高二第一学期期末考试文科数学试卷2014-2015学年广东省佛山一中高二上学期第一次段考理科数学试卷2015-2016学年四川省雅安市天全中学高二11月月考理科数学试卷2015-2016学年四川省雅安市天全中学高二11月月考文科数学试卷(已下线)考点25 几何法解空间角(讲解)-2021年高考数学复习一轮复习笔记人教B版(2019) 选择性必修第一册 必杀技 第一章 空间向量与立体几何 1.2 空间向量在立体几何中的应用 1.2.1 空间中的点、直线与空间向量人教A版(2019) 选择性必修第一册 必杀技 第一章 空间向量与立体几何 1.4 空间向量的应用 1.4.2 用空间向量研究距离、夹角问题 课时2 用空间向量研究夹角问题北师大版(2019) 选修第一册 必杀技 第三章 4.3 课时1 用空间向量研究夹角问题(已下线)模块14 空间直线与平面-2022年高考数学一轮复习小题多维练(上海专用)湖南省长沙市同升湖高级中学2022-2023学年高二下学期数学期中模拟卷
11-12高一上·福建龙岩·期末
7 . ①BM与ED平行; ②CN与BE是异面直线;
③CN与BM成
角; ④DM与BN垂直.
其中,正确命题的序号是_______________________ .
③CN与BM成
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
其中,正确命题的序号是
![](https://img.xkw.com/dksih/QBM/2011/2/23/1570010500112384/1570010505273344/STEM/bf995bba313341cbb65d2b8a823a6797.png?resizew=134)
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