如圖點(diǎn)P為弦AB上一點(diǎn),連接OP,過P作PC⊥OP,PC交⊙O于點(diǎn)C,若AP=4,PB=2,則PC的長(zhǎng)為( ?。?A.2 B.2 C.22 D.3
如圖點(diǎn)P為弦AB上一點(diǎn),連接OP,過P作PC⊥OP,PC交⊙O于點(diǎn)C,若AP=4,PB=2,則PC的長(zhǎng)為( ?。?img src="http://hiphotos.baidu.com/zhidao/pic/item/0b55b319ebc4b745c410f1a1ccfc1e178b821584.jpg">
A.
B. 2
C.
2D. 3
優(yōu)質(zhì)解答
延長(zhǎng)CP交⊙O于點(diǎn)D,
∵PC⊥OP,
∴PC=PD,
∵PC?PD=PB?PA,
∴PC
2=PB?PA,
∵AP=4,PB=2,
∴PC
2=8,
∴PC的長(zhǎng)為:2
.
故選C.
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