平面α∥平面β,直线a∥α,直线b∥β,则直线a与b的位置关系是 _____________ .
21-22高二上·北京·阶段练习 查看更多[2]
北京市第一○一中学2021-2022学年高二上学期10月月考数学试题(已下线)第一章 空间向量与立体几何单元测试(基础版)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)
更新时间:2023-06-14 10:23:42
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【推荐1】若平面
∥平面
,
,下列说法正确的是_____ .(填序号)
①a与β内任一直线平行;②a与β内无数条直线平行;③a与β内任一直线不垂直;④a与β无公共点.
![](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/72d2a947e3fdc214d40a7d3f54679a73.png)
①a与β内任一直线平行;②a与β内无数条直线平行;③a与β内任一直线不垂直;④a与β无公共点.
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【推荐2】设m,n是两条不同的直线,
是两个不同的平面.给出下列三个命题:
①如果m∥n,m⊥
,那么n⊥
;
②如果m⊥
,m⊥
,那么
//
;
③如果
⊥
,m∥
,那么m⊥
.
其中所有真命题的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
①如果m∥n,m⊥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
②如果m⊥
![](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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
③如果
![](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/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
其中所有真命题的序号是
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【推荐1】
是三条不同的直线,
是三个不同的平面,
①若
与
都垂直,则
∥![](https://img.xkw.com/dksih/QBM/2013/7/8/1571266762072064/1571266767609856/STEM/de918a6be28148a7b6b239d36e1e6fa6.png?resizew=13)
②若
∥
,
,则
∥![](https://img.xkw.com/dksih/QBM/2013/7/8/1571266762072064/1571266767609856/STEM/9e8a6fb522e0483f85e474c5067e0fb5.png?resizew=16)
③若
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
④若
与平面
所成的角相等,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
上述命题中的真命题是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f682870aa63eea67a9f3133b3dabac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/2013/7/8/1571266762072064/1571266767609856/STEM/f8be6544ea094016a204065cedd30464.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2013/7/8/1571266762072064/1571266767609856/STEM/de918a6be28148a7b6b239d36e1e6fa6.png?resizew=13)
②若
![](https://img.xkw.com/dksih/QBM/2013/7/8/1571266762072064/1571266767609856/STEM/f8be6544ea094016a204065cedd30464.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2013/7/8/1571266762072064/1571266767609856/STEM/9e8a6fb522e0483f85e474c5067e0fb5.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
![](https://img.xkw.com/dksih/QBM/2013/7/8/1571266762072064/1571266767609856/STEM/de918a6be28148a7b6b239d36e1e6fa6.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2013/7/8/1571266762072064/1571266767609856/STEM/9e8a6fb522e0483f85e474c5067e0fb5.png?resizew=16)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00870232ef6cb00ae73334fc4eb6267e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
上述命题中的真命题是
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【推荐2】设a,b为不重合的两条直线,α,β为不重合的两个平面,给出下列命题:
①若a⊂α,b⊄α,a,b是异面直线,那么b∥α;
②若a∥α且b∥α,则a∥b;
③若a⊂α,b∥α,a,b共面,那么a∥b;
④若α∥β,a⊂α,则a∥β.
上面命题中,所有真命题的序号是________ .
①若a⊂α,b⊄α,a,b是异面直线,那么b∥α;
②若a∥α且b∥α,则a∥b;
③若a⊂α,b∥α,a,b共面,那么a∥b;
④若α∥β,a⊂α,则a∥β.
上面命题中,所有真命题的序号是
您最近一年使用:0次