设
是两条不同的直线,
是两个不重合的平面,给定下列四个命题:
①若
,则
;
②若
,则
;
③若
,则
;
④若
,则
.
其中真命题的序号为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b4218f00da487d3f63b9360144708f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474929dd8e89d9ce37448ae72b48d04f.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4085aa440533e1f4f60a77c5298296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570551b44f1875548683bcae7784ca55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18391405821400cbeaf05fe855d43b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/637a6ba3f9012801b2b3f1ef93011612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
其中真命题的序号为
2023高三·全国·专题练习 查看更多[2]
更新时间:2022-09-19 22:57:13
|
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名校
【推荐1】在正三棱锥
中,
,侧棱
与底面
所成的角为
,则该三棱锥外接球的体积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce04330863f334de5c33adf1ed542215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
【推荐2】已知两条不同直线m、n,两个不同平面α、β,给出下面四个命题:
①m⊥α,n⊥α⇒m∥n;②α∥β,m⊂α,n⊂β⇒m∥n
③m∥n,m∥α⇒n∥α; ④α∥β,m∥n,m⊥α⇒n⊥β.
其中正确命题的序号是_____ .
①m⊥α,n⊥α⇒m∥n;②α∥β,m⊂α,n⊂β⇒m∥n
③m∥n,m∥α⇒n∥α; ④α∥β,m∥n,m⊥α⇒n⊥β.
其中正确命题的序号是
您最近一年使用:0次
填空题-单空题
|
适中
(0.65)
【推荐1】在空间中,有如下命题:
①互相平行的两条直线在同一个平面内的射影必然是互相平行的两条直线;
②若平面
平面
,则平面
内任意一条直线
平面
;
③若平面
与平面
的交线为m,平面
内的直线
直线m,则直线
平面
;
④若两个相交平面中的一个与第三个平面平行,则另一个平面与第三个平面相交.
其中正确命题的序号为______ .
①互相平行的两条直线在同一个平面内的射影必然是互相平行的两条直线;
②若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459c9fb274e1af7badad017e0d0c2368.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/a2743ea1a50ea457e58f5d17b6e0a08f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
③若平面
![](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/13761925fc1f25fd654a4b829032c8c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13761925fc1f25fd654a4b829032c8c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
④若两个相交平面中的一个与第三个平面平行,则另一个平面与第三个平面相交.
其中正确命题的序号为
您最近一年使用:0次
填空题-单空题
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适中
(0.65)
【推荐2】已知
是直线,
是平面,给出下列是命题:
①若
,则
;
②若
,则
;
③若
内不共线的三点到
的距离都相等,则
;
④若
且
,则
;
⑤若
为异面直线,
,则
;
则其中正确的命题是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da837806c2ff041e56b9bacd3ef41eb.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5efd7785b7aaf2c71426d797e8b5379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57396bbb9f39525f1129ea17e387448e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
③若
![](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/35f747152f006301e03b643afb80195c.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f1dd4ad4a57bdc6315bbac05332244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2406c4bb971343d8972a360746b134bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc3540832ebde79a84c85e6afcbe2dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
则其中正确的命题是 .
您最近一年使用:0次