题目内容
((本小题满分12分)在直三棱柱ABC—A1B1C1中,CA=CB=CC1=2,
,E、F分别是BA、BC的中点,G是AA1上一点,且![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143481468.gif)
(Ⅰ)确定点G的位置;
(Ⅱ)求三棱锥C1—EFG的体积.![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231641434966557.jpg)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143465494.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143481468.gif)
(Ⅰ)确定点G的位置;
(Ⅱ)求三棱锥C1—EFG的体积.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231641434966557.jpg)
(1)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143512341.gif)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143543921.gif)
(Ⅰ)取AC的中点D,连结DE、DG,则ED∥BC
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143574629.gif)
又![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231641436061070.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231641436211076.gif)
又
EG,ED![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143652939.gif)
连结
∥DG
是AC的中点,
的中点。…………6分
(Ⅱ)
∥EF,
平面EFG
∥平面EFG
,G是
的中点
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143824801.gif)
………………6分
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231641435592898.jpg)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143574629.gif)
又
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231641436061070.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231641436211076.gif)
又
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143637288.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143652939.gif)
连结
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143668448.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143684228.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143512341.gif)
(Ⅱ)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143730276.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143762678.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143777270.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143793540.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143808245.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143824801.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823164143543921.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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