2010·吉林·二模
1 . 如图,已知⊙O和⊙M相交于A、B两点,AD为⊙M的直径,直线BD交⊙O于点C,点G为
中点,连结AG分别交⊙O、BD于点E、F连结CE.
(1)求证:
;
(2)求证:![](https://img.xkw.com/dksih/QBM/2012/1/11/1570685661339648/1570685666787328/STEM/f10f4538e7b141708014cb5f7bfac446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c5ebc2d5455ceb341d5796acdf63fd.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2012/1/11/1570685661339648/1570685666787328/STEM/b35cd86fac924045b3b40ba44021f9fa.png)
(2)求证:
![](https://img.xkw.com/dksih/QBM/2012/1/11/1570685661339648/1570685666787328/STEM/f10f4538e7b141708014cb5f7bfac446.png)
![](https://img.xkw.com/dksih/QBM/2012/1/11/1570685661339648/1570685666787328/STEM/2a6e16d685044044a925a5b080d9318e.png)
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12-13高三下·河北石家庄·阶段练习
2 . 选修4-1几何证明选讲
如图,AB是
O的直径,BE为圆0的切线,点c为
o 上不同于A、B的一点,AD为
的平分线,且分别与BC 交于H,与
O交于D,与BE交于E,连结BD、CD.
![](https://img.xkw.com/dksih/QBM/2013/3/15/1571143959781376/1571143965417472/STEM/b348fe291c244484bf89e15a5a8a6a2c.png)
(I )求证:BD平分![](https://img.xkw.com/dksih/QBM/2013/3/15/1571143959781376/1571143965417472/STEM/f54719e7f9d54dee90b65968e935b270.png)
(II)求证:AH•BH=AE•HC
如图,AB是
![](https://img.xkw.com/dksih/QBM/2013/3/15/1571143959781376/1571143965417472/STEM/8b43c3c3b2144703b527e83c122a5c2a.png)
![](https://img.xkw.com/dksih/QBM/2013/3/15/1571143959781376/1571143965417472/STEM/8b43c3c3b2144703b527e83c122a5c2a.png)
![](https://img.xkw.com/dksih/QBM/2013/3/15/1571143959781376/1571143965417472/STEM/2d4d4061425c45c6aaf748b93fc86366.png)
![](https://img.xkw.com/dksih/QBM/2013/3/15/1571143959781376/1571143965417472/STEM/8b43c3c3b2144703b527e83c122a5c2a.png)
![](https://img.xkw.com/dksih/QBM/2013/3/15/1571143959781376/1571143965417472/STEM/b348fe291c244484bf89e15a5a8a6a2c.png)
(I )求证:BD平分
![](https://img.xkw.com/dksih/QBM/2013/3/15/1571143959781376/1571143965417472/STEM/f54719e7f9d54dee90b65968e935b270.png)
(II)求证:AH•BH=AE•HC
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