1 . 如图(1)所示,在直角梯形ABCP中,BC∥AP,AB⊥BC,CD⊥AP,AD=DC=PD=2,E、F、G分别为线段PC、PD、BC的中点,现将△PDC折起,使平面PDC⊥平面ABCD(图(2)).
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572560362258432/1572560368009216/STEM/dd1a4195fd954b6b8b650453d01c29c2.png)
(1)求证:平面EFG∥平面PAB;
(2)若点Q是线段PB的中点,求证:PC⊥平面ADQ;
(3)求三棱锥C﹣EFG的体积.
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572560362258432/1572560368009216/STEM/dd1a4195fd954b6b8b650453d01c29c2.png)
(1)求证:平面EFG∥平面PAB;
(2)若点Q是线段PB的中点,求证:PC⊥平面ADQ;
(3)求三棱锥C﹣EFG的体积.
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2016-12-03更新
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3卷引用:2015-2016学年甘肃省兰州一中高一上学期期末数学试卷2