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(1999•重庆)已知:如图,⊙O2过⊙O1的圆心O1且与⊙O1内切于点P.弦AB切⊙O2...
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(1999•重庆)已知:如图,⊙O
2过⊙O
1的圆心O
1且与⊙O
1内切于点P.弦AB切⊙O
2于点C,PA、PB分别与⊙O
2交于D、E两点,延长PC交⊙O
1于点F.
求证:
(1)BC
2=BE•BP;
(2)∠1=∠2;
(3)CF
2=BE•AP.
相关试题
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(1999•重庆)已知:如图,⊙O2过⊙O1的圆心O1且与⊙O1内切于点P.弦AB切⊙O2于点C,PA、PB分别与⊙O2交于D、E两点,延长PC交⊙O1于点F.
求证:
(1)BC2=BE•BP;
(2)∠1=∠2;
(3)CF2=BE•AP.
-
(1999•重庆)已知:如图,⊙O2过⊙O1的圆心O1且与⊙O1内切于点P.弦AB切⊙O2于点C,PA、PB分别与⊙O2交于D、E两点,延长PC交⊙O1于点F.
求证:
(1)BC2=BE•BP;
(2)∠1=∠2;
(3)CF2=BE•AP.
-
(1999•重庆)已知:如图,⊙O2过⊙O1的圆心O1且与⊙O1内切于点P.弦AB切⊙O2于点C,PA、PB分别与⊙O2交于D、E两点,延长PC交⊙O1于点F.
求证:
(1)BC2=BE•BP;
(2)∠1=∠2;
(3)CF2=BE•AP.
-
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![](https://img.xintiku.com/upload/bb/0c/bb0c89c51f8d96d60dccc5d9f8fe18b1.png)
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