解答题-证明题 适中0.64 引用1 组卷1016
如图,已知
是圆
的直径,
,
是⊙
上一点,且
,
,
,![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/58b7a1ffe4e5482b930a0a6d7fdebad2.png)
是
的中点,
是
的中点
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/705cc4db11704f80899766db91d70849.png)
(1)求证:
平面
;
(2)求证:
平面
;
(3)求
与平面
所成角的大小
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/a8f7033605574063b78201a5947be542.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/6b2bdc394fa4468e87ae18b0ab3ed442.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/b0b9a5f28d464a56991521833f797340.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/2ec8a42656e74ba6904cc794fab96f22.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/6b2bdc394fa4468e87ae18b0ab3ed442.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/551ea62241c24d84b6777b7168f7ac97.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/665d7681c35742939fe3013e9b2d236f.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/7996597559b2473089a30e1a4bf892ef.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/58b7a1ffe4e5482b930a0a6d7fdebad2.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/bead1b0426fe433ca35c6bce48988a56.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/c8ff1ddf63dd4cfb9575583ed3107847.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/6f3df7a20a9d4551baf950d185dd2d9a.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/0fa5d8b4f19e4bf3b5b7e4181bbf289e.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/705cc4db11704f80899766db91d70849.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/3ec6a6977a1149dfa06d11584671dfcd.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/ba13ca1cff5b458fbb3f1a32761f74cb.png)
(2)求证:
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/3760772802d543f887e918d30bb3784a.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/389f4766a4834f2cbe0a3ca19c31b3f6.png)
(3)求
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/c8ff1ddf63dd4cfb9575583ed3107847.png)
![](https://img.xkw.com/dksih/QBM/2015/1/12/1571958740541440/1571958746202112/STEM/ba13ca1cff5b458fbb3f1a32761f74cb.png)
2015·广东肇庆·一模
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