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解题方法
1 . 给出下列4个命题,其中正确的命题是( ).
①垂直于同一直线的两条直线平行; ②垂直于同一平面的两条直线平行;
③垂直于同一直线的两个平面平行; ④垂直于同一平面的两个平面平行.
①垂直于同一直线的两条直线平行; ②垂直于同一平面的两条直线平行;
③垂直于同一直线的两个平面平行; ④垂直于同一平面的两个平面平行.
A.①② | B.③④ | C.②③ | D.①④ |
您最近一年使用:0次
2021-08-07更新
|
594次组卷
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5卷引用:吉林省东北师范大学附属中学2022届高三第五次模拟考试文科数学试题
吉林省东北师范大学附属中学2022届高三第五次模拟考试文科数学试题浙江省宁波市2020-2021学年高一下学期期末数学试题湖北省武汉市吴家山中学2021-2022学年高二上学期10月月考数学试题(已下线)第四节?直线,平面垂直的判定与性质(核心考点集训)(已下线)8.6.2 直线与平面垂直(第1课时)直线与平面垂直的判定(分层作业)-【上好课】
2 . 下列结论正确的是
A.若直线![]() ![]() ![]() ![]() ![]() |
B.若直线![]() ![]() ![]() ![]() ![]() |
C.若两直线![]() ![]() ![]() |
D.若直线![]() ![]() ![]() ![]() |
您最近一年使用:0次
2016-12-04更新
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1567次组卷
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4卷引用:【全国市级联考】吉林省延边州2018届高三高考仿真模拟数学(文科)试题
3 . 设α,β是两个不同的平面,a,b是两条不同的直线,给出下列四个命题,其中真命题是
A.若a∥α,b∥α,则a∥b |
B.若a∥α,b∥β,a∥b,则α∥β |
C.若a⊥α,b⊥β,a⊥b,则α⊥β |
D.若a,b在平面α内的射影互相垂直,则a⊥b |
您最近一年使用:0次
解题方法
4 . 已知
表示两条不同直线,
表示三个不同平面,给出下列命题:
①若
则
;
②若
,
垂直于
内的任意一条直线,则
;
③若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f99f03a4d764741b109af5c6f0a516.png)
则
;
④若
不垂直于平面
,则
不可能垂直于平面
内的无数条直线;
⑤若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47972d7118a9428efd9ab3aace0f06b7.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60be170a52db82cf37b30db0cde26.png)
.
上述五个命题中,正确命题的个数是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ea3d63c8c407d0c62a69cd3291dc25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d2a947e3fdc214d40a7d3f54679a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f99f03a4d764741b109af5c6f0a516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12904d1341f57811c3ca3829743a8bfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057cdb4057bca398a838e868efd360f5.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47972d7118a9428efd9ab3aace0f06b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60be170a52db82cf37b30db0cde26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
上述五个命题中,正确命题的个数是
A.5 | B.4 | C.3 | D.2 |
您最近一年使用:0次
5 . 四棱锥
底面是平行四边形,面
面
,
,
,
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/386e51b9c432489696222f996417e04f.png)
(1)求证:![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/40f7b12f064e4b9db653d4dc72e748c7.png)
(2)求证:
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/a3464e05ed1e4d43bcdbb1312feef9b4.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/e8224e8cabc84896a1c26d3214baf16d.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/359d34a503c34fe0817b0a6211845529.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/b5e05ac6640f4815bb224f5ba2bfde83.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/00b060eaa4044766b3bea5ff368c77d2.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/83c48dfc59a143bdb9c97b9d9c7dd988.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/76d15388900f4000ae8672c660a9920d.png)
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/386e51b9c432489696222f996417e04f.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/40f7b12f064e4b9db653d4dc72e748c7.png)
(2)求证:
![](https://img.xkw.com/dksih/QBM/2015/12/1/1572333245972480/1572333252067328/STEM/16d7c48eb29b4009ae95831b9af529de.png)
您最近一年使用:0次
6 . 给出下列关于互不相同的直线
、
、
和平面
、
的四个命题:
① 若
,
,点
,则
与
不共面;
② 若
、
是异面直线,
,
,且
,
,则
;
③ 若
,
,
,则
;
④ 若
,
,
,
,
,则
,
其中为真命题的是
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/f2ef2aeb24204b28a74da363b2b14927.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/78f4b3a3a1864f16920d8f2b1ff2062e.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/e87b15c4bf2641dd8c60cd2074bf2103.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/c55b98e3f57640e6b577a5a66f1df424.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/e4342e7e487e4f63b07e31fcb9e133c6.png)
① 若
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/51489cc81da54a87a2b912db83a20922.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/39bd13c6302942b5bc0a72027f431005.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/18fb4a2619eb40ec8af3fd2197a32476.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/78f4b3a3a1864f16920d8f2b1ff2062e.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/f2ef2aeb24204b28a74da363b2b14927.png)
② 若
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/f2ef2aeb24204b28a74da363b2b14927.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/78f4b3a3a1864f16920d8f2b1ff2062e.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/e0dda33ffd92429aaa639a1f77561cec.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/2bffe43ae19a4c2181b7f126bbf957e5.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/c4a03772dbcc4ab8a36035ff195b603d.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/da1afb4d19de4486934ac39379d38031.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/2ced986b44aa4f0a8555423ef60532c7.png)
③ 若
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/e0dda33ffd92429aaa639a1f77561cec.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/5ddf923cb54a4df58589029903c0d70f.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/5daeea00fb2346e1b13f8a7bd8ca63e3.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/41055ad0658f432abdaeb149f37f4ffc.png)
④ 若
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/f1038799877c436fbccf38992d707395.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/51489cc81da54a87a2b912db83a20922.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/864dd91cad914894a47ab0d0539ad10a.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/d8ddf1f2ed5d47099a3d4d1d1e040641.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/5ddf923cb54a4df58589029903c0d70f.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572087244324864/1572087250108416/STEM/5daeea00fb2346e1b13f8a7bd8ca63e3.png)
其中为真命题的是
A.①③④ | B.②③④ | C.①②④ | D.①②③ |
您最近一年使用:0次
2016-12-03更新
|
1209次组卷
|
3卷引用:2015届吉林省实验中学高三上学期第五次模拟考试理科数学试卷