在空间中,下列命题错误的是( )
A.如果两条直线垂直于同一条直线,那么这两条直线平行 |
B.如果两个平面垂直于同一个平面,那么这两个平面可能互相垂直 |
C.过直线外一点有且只有一条直线与已知直线平行 |
D.不共线的三个点确定一个平面 |
更新时间:2019-01-17 09:19:15
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【推荐1】若一直线a在平面α内,则正确的图形是 ( )
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】正方体
的棱长为4,
,
,用经过
,
,
三点的平面截该正方体,则所截得的截面面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/45a43a6c-dff3-47d2-af2e-339f497cd59f.png?resizew=158)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72545fe29c470b406debfb30d4d9f361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b9c8190e1a489a9c611959fa971f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/45a43a6c-dff3-47d2-af2e-339f497cd59f.png?resizew=158)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】已知平面
平面
直线
,点
、
,点
、
,且
、
、
、
,点
、
分别是线段
、
的中点,则下列说法正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/670684ed4962fcebce7b5a140510d066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca3f0a4b2d06539e74594736881aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cc2f3dcb248fc764614be3a9ddd25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaccf1887c4b530fd86a2f0f199c6797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e9acf84f5b8dad7be952546b20a154.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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A.当![]() ![]() ![]() |
B.![]() ![]() ![]() ![]() |
C.当直线![]() ![]() ![]() ![]() ![]() |
D.当直线![]() ![]() ![]() ![]() |
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【推荐2】设P是异面直线a,b外一点,则过P与a,b都平行的直线有( )条.
A.1 | B.2 | C.0 | D.0或1 |
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解题方法
【推荐1】已知三条不同直线
,三个不同平面
,有下列命题:①若
,
,则
;②若
,
,则
;③
,
,则
;④若
为异面直线,
,
,
,
,则
.其中正确的命题个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f682870aa63eea67a9f3133b3dabac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a4c549e7ea8776ec821c467bc1a913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0d37b44de48de51555fa95d94e33f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1754786a3367aca3da18ee3316e5b968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e780bef5816b53749e73f56d7f3979c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35a45cfcdfbda18b089ce6698ccdbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82e5d28e2e5a4790e94db2daa6a07c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539a38ada26356d73024fb8533449c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209323a7a4d015f7e570ec578c1731f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc01d7aa51bf4f95c4b12ae9dcb7eb4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0d37b44de48de51555fa95d94e33f1.png)
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A.0 | B.1 | C.2 | D.3 |
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【推荐2】已知
是空间三个不同的平面,a是空间一条直线,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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