2010·北京丰台·二模
名校
1 . 如图,在直三棱柱
中,
,
,点G与E分别为线段
和
的中点,点D与F分别为线段AC和AB上的动点.若
,则线段DF长度的最小值是( )
![](https://img.xkw.com/dksih/QBM/2010/5/10/1569722960216064/1569722964844544/STEM/9623d55a953e4d70b02f31ed5b2ca6b9.png?resizew=243)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a9ad711b25c36dae0c2a2cedff9954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bd8c13192ca45c16dad5d59b547220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90e17995e2f71e297d94ae51c7e5b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e97fcdcfd6183b976a61ef3222c607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781ed91456e62d6319dc8671e48a7332.png)
![](https://img.xkw.com/dksih/QBM/2010/5/10/1569722960216064/1569722964844544/STEM/9623d55a953e4d70b02f31ed5b2ca6b9.png?resizew=243)
A.![]() | B.1 | C.![]() | D.![]() |
您最近一年使用:0次
2016-11-30更新
|
1346次组卷
|
4卷引用:辽宁省沈阳市第二中学2023-2024学年高二上学期第一次阶段测试数学试题
2010·北京海淀·一模
名校
2 . 如图,三棱柱
中,侧面
底面
,
,且
,O为
中点.
![](https://img.xkw.com/dksih/QBM/2010/4/10/1569695825993728/1569695928066048/STEM/90c3047603834322abed88653cccf1ef.png?resizew=207)
(Ⅰ)证明:
平面
;
(Ⅱ)求直线
与平面
所成角的正弦值;
(Ⅲ)在
上是否存在一点
,使得OE//平面
,若不存在,说明理由;若存在,确定点
的位置.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0671b4776e142e17a79af5b3f0378ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31510125b0db45b7edef1ef444d71bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2010/4/10/1569695825993728/1569695928066048/STEM/90c3047603834322abed88653cccf1ef.png?resizew=207)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e5981445b6f2a6c58974158d96a4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc9ffc43a56921fe79f8602636b8b0f.png)
(Ⅲ)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5b62fbd8b301e6d3e8ae6d1f8a3b83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc9ffc43a56921fe79f8602636b8b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
2016-11-30更新
|
1417次组卷
|
6卷引用:2011-2012学年辽宁省沈阳铁路实验中学高二期末教学质量测试理科数学
(已下线)2011-2012学年辽宁省沈阳铁路实验中学高二期末教学质量测试理科数学天津市静海县第一中学2017-2018学年高二10月学生学业能力调研数学试题(附加题)河北省张家口市第一中学2021-2022学年高二上学期10月月考数学试题(已下线)2010年北京市海淀区高三一模理科试题(已下线)烟台市中英文学校2010高三一模考试理科数学试题(已下线)2010年高考嘉兴一中适应性考试数学试题(理科)