名校
1 . 半径分别为5,6的两个圆相交于A,B两点,AB=8,且两个圆所在平面相互垂直,则它们的圆心距为__ .
您最近一年使用:0次
2017-04-06更新
|
331次组卷
|
2卷引用:2016-2017学年重庆市第一中学高二3月月考数学(理)试卷
解题方法
2 . 已知四面体
,
,
,
,
,则该四面体外接球的半径为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76d3c3d59ff263d720ca679ceb6465e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2815b421692a40424adf507c34d847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357d9412cb6b277a3e317d99135ab64b.png)
您最近一年使用:0次
2017-03-23更新
|
729次组卷
|
4卷引用:辽宁省辽南协作校2017届高三一模拟考试数学(理)试题
3 . 设
为两个不重合的平面,
为两条不重合的直线,给出下列四个命题:
①若
,则
;
②若
,则
;
③若
,则
;
④若
与
相交且不垂直,则
与
一定不垂直.
其中,所有真命题的序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ca88044d7e38f26e8da91d8d9693d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b4218f00da487d3f63b9360144708f.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303d8306e522b0fca02d0f1211bb11a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79018590293277ff2d76452a50ad2dbc.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3760d84dc1501b15dbacd3ec544edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b383d30689ed69eacc5bf1d9636fc6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53cd751c44ad4d9ebd8e3243e751321.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f7605c1b7f2507933c95cb7d65edd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
其中,所有真命题的序号是
您最近一年使用:0次
解题方法
4 . 如图所示,在四边形
中,
,
,
,将四边形
沿对角线
折成四面体
,使平面
平面
,则下列结论正确的是_________ .
(1)
;
(2)
;
(3)
与平面
所成的角为
;
(4)四面体
的体积为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832afec35b94e7f73af80164b2b81c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6bdfb0e1be5583e794ab614a8abe1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9c7cbcc38b28d45c8539710e5b260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb4c6e9a723aa843e6ba62d7c1a3a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe052786101dfcc941480919eb2cecc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b219a74a1ce5a2b22c36d8de1e21ff91.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910fab9c432cda7e4642535638046094.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a037b1a3ec2e37bbcb05d0a467efb511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd148d264bc9043396f777523e907aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
(4)四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb4c6e9a723aa843e6ba62d7c1a3a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/6/48cc63b5-04f5-4b05-9f78-a3217f61e874.png?resizew=281)
您最近一年使用:0次
2016-12-03更新
|
1439次组卷
|
2卷引用:2014-2015学年黑龙江省龙东南四校高一下学期期末联考理科数学试卷
5 .
是矩形,
,
,沿
将
折起到
,使平面
平面
,
是
的中点,
是
上的一点,给出下列结论:
① 存在点
,使得
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e95fa1c3bcd3d0464fcadf248e90ace.png)
② 存在点
,使得
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
③ 存在点
,使得
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
④ 存在点
,使得
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb7f8a1055fa0bf762539aeb070d3d7.png)
其中正确结论的序号是____________ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ac5396c5ea442e0364b50c1db3d2da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f8441e5e499d705e4625e4c7db33dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ebf8aa867ccca195ec94c3c96e9b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b123ae31090740589ba27a846620b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
① 存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e95fa1c3bcd3d0464fcadf248e90ace.png)
② 存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5f445af1ae136773cb338920552ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
③ 存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d508d64a98fa7be09fe06e3faa0a483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
④ 存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb7f8a1055fa0bf762539aeb070d3d7.png)
其中正确结论的序号是
您最近一年使用:0次
2016-12-03更新
|
797次组卷
|
2卷引用:2015届北京市延庆县高三3月模拟理科数学试卷
2014·北京东城·一模
名校
6 . 如图,在三棱锥
中,
,平面
平面
为
中点,
分别为线段
上的动点(不含端点),且
,则三棱锥
体积的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852cf20f630bc72135dd90e442421b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6dc837ae85207789b94d109c5c2eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5936c7ff73fd5ab2b24e887acef6a2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99e4454d57101b16bc2e3198f213a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51dfab0c1ec275ff83d08c7293968c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ecae9f980807a1208594ab89ef061c.png)
![](https://img.xkw.com/dksih/QBM/2014/5/14/1571718289285120/1571718294470656/STEM/306efe3758e04ea18e83387659a5767f.png?resizew=144)
您最近一年使用:0次
2016-12-03更新
|
2286次组卷
|
5卷引用:2014届北京市东城区高三下学期综合练习(一)理科数学试卷
(已下线)2014届北京市东城区高三下学期综合练习(一)理科数学试卷2015-2016学年江西南昌二中高二下期中数学(理)试卷2016-2017学年重庆万州二中高二理上期中数学试卷河北省衡水市2018届高三高考模拟联考理数试题贵州省遵义市第四中学2017-2018学年高二上学期第一次月考数学试题
7 . 给出下列命题:
①如果
,
是两条直线,且
//
,那么
平行于经过
的任何平面;
②如果平面
不垂直于平面
,那么平面
内一定不存在直线垂直于平面
;
③若直线
,
是异面直线,直线
,
是异面直线,则直线
,
也是异面直线;
④已知平面
⊥平面
,且
∩
=
,若
⊥
,则
⊥平面
;
⑤已知直线
⊥平面
,直线
在平面
内,
//
,则
⊥
.
其中正确命题的序号是_____ .
①如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
②如果平面
![](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/5b5858ee1ce52b251816757257a11c29.png)
③若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
④已知平面
![](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/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
⑤已知直线
![](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/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
其中正确命题的序号是
您最近一年使用:0次
8 . 如图,在长方形
中,
,
,
为线段
上一动点,现将
沿
折起,使点
在面
上的射影
在直线
上,当
从
运动到
,则
所形成轨迹的长度为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c771a4feb150ad9cff8d70431c97eb17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://img.xkw.com/dksih/QBM/2012/2/4/1570714515013632/1570714520354816/STEM/0e41bf69af00418d83b24a05db8bf5fa.png?resizew=313)
您最近一年使用:0次
2012·山东·一模
解题方法
9 . 如图,平面四边形
中,
,
,
,将其沿对角线
折成四面体
,使平面
平面
,若四面体
顶点在同一个球面上,则该球的体积为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832afec35b94e7f73af80164b2b81c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6bdfb0e1be5583e794ab614a8abe1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9c7cbcc38b28d45c8539710e5b260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb4c6e9a723aa843e6ba62d7c1a3a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe052786101dfcc941480919eb2cecc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb4c6e9a723aa843e6ba62d7c1a3a6c.png)
![](https://img.xkw.com/dksih/QBM/2012/8/21/1570973684875264/1570973689806848/STEM/5d66bb21ac334264aec5e636ca299520.png?resizew=266)
您最近一年使用:0次
2012·河北衡水·一模
解题方法
10 . 如图,已知平面
平面
,A,B是平面
与平面
的交线上的两个定点,
,
,且
,
,
,
,
,在平面
内有一个动点P,使得
,则
的面积的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa807136194c18d3ac58902c67f9333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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