设a,b,c是三条不同的直线,α,β是两个不同的平面,则a⊥b的一个充分不必要条件是( )
A.a⊥c,b⊥c | B.α⊥β,a⊂α,b⊂β |
C.a⊥α,b∥α | D.a⊥α,b⊥α |
2019高三·全国·专题练习 查看更多[2]
(已下线)专题8.5 直线、平面垂直的判定及其性质(练)【文】-《2020年高考一轮复习讲练测》(已下线)专题8.5 直线、平面垂直的判定及其性质(练)-江苏版《2020年高考一轮复习讲练测》
更新时间:2019-12-09 16:20:04
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【推荐1】如图,如图,已知正三棱柱
的各条棱都相等,M是侧棱
的中点,则异面直线
和
所成角的大小是
![](https://img.xkw.com/dksih/QBM/2015/12/21/1572371348054016/1572371353608192/STEM/4b4c74f0-eecf-43bf-ac3c-2e9dec1d5952.png?resizew=212)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://img.xkw.com/dksih/QBM/2015/12/21/1572371348054016/1572371353608192/STEM/4b4c74f0-eecf-43bf-ac3c-2e9dec1d5952.png?resizew=212)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】设
是两条直线,
是两个平面,给出四个命题
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff79a2dbe51e4a04e27c5a44337be1af.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385336991744/STEM/edf1c72a14e74e42968ef7821993efc2.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f526ecd9792e429698906f0014ce3907.png)
③![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385336991744/STEM/d0739fe091c3439d9cc34bd2f2bdca60.png)
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa82e3b206721ee0360d158008b814a.png)
其中真命题的个数为
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385336991744/STEM/46414ae82fc84443a19af951f260cca2.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385336991744/STEM/0080ca6328134dffa16d62a940524edc.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff79a2dbe51e4a04e27c5a44337be1af.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385336991744/STEM/edf1c72a14e74e42968ef7821993efc2.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f526ecd9792e429698906f0014ce3907.png)
③
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385336991744/STEM/d0739fe091c3439d9cc34bd2f2bdca60.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa82e3b206721ee0360d158008b814a.png)
其中真命题的个数为
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】已知空间两条直线
两个平面
,给出下面四个命题:
①
,
;
②
,
,
;
③
,
;
④
,
,
.
其中正确的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46227a727bb5b5b3b22e399d6ad3a5e5.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539a38ada26356d73024fb8533449c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bae883107355ecfc6dfab576566bdd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d56ffc7ba518a79ddbb8da10e77fa52.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454f4c6fb2ca47258e9486b90e03253f.png)
其中正确的序号是( )
A.①④ | B.②③ | C.①②④ | D.①③④ |
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【推荐2】设
为两个不同的平面,n、m为两条不同的直线,且n![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
,m![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
,有如下的两个命题:①若
∥
,则n∥m;②若n⊥m,则
⊥
.那么
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474929dd8e89d9ce37448ae72b48d04f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828926e570a414e9dbc04a7bbcb65283.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.①是真命题,②是假命题 | B.①是假命题,②是真命题 |
C.①②都是真命题 | D.①②都是假命题 |
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