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如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并...
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如图,已知⊙O
1与⊙O
2都过点A,AO
1是⊙O
2的切线,⊙O
1交O
1O
2于点B,连接AB并延长交⊙O
2于点C,连接O
2C.
(1)求证:O
2C⊥O
1O
2;
(2)证明:AB•BC=2O
2B•BO
1;
(3)如果AB•BC=12,O
2C=4,求AO
1的长.
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(2010•十堰)如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.
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(2010•十堰)如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.
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(2010•十堰)如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.
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如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.
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如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.
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如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.
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如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.
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如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.
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如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.
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如图,已知⊙O1与⊙O2都过点A,AO1是⊙O2的切线,⊙O1交O1O2于点B,连接AB并延长交⊙O2于点C,连接O2C.
(1)求证:O2C⊥O1O2;
(2)证明:AB•BC=2O2B•BO1;
(3)如果AB•BC=12,O2C=4,求AO1的长.