如圖,已知O為原點(diǎn),點(diǎn)A的坐標(biāo)為(4,3),⊙A的半徑為2.過A作直線l平行于x軸,交y軸于點(diǎn)B,點(diǎn)P在直線l上運(yùn)動(dòng). (1)當(dāng)點(diǎn)P在⊙A上時(shí),請(qǐng)你直接寫出它的坐標(biāo); (2)設(shè)點(diǎn)P的橫坐標(biāo)為12,
如圖,已知O為原點(diǎn),點(diǎn)A的坐標(biāo)為(4,3),⊙A的半徑為2.過A作直線l平行于x軸,交y軸于
點(diǎn)B,點(diǎn)P在直線l上運(yùn)動(dòng).
(1)當(dāng)點(diǎn)P在⊙A上時(shí),請(qǐng)你直接寫出它的坐標(biāo);
(2)設(shè)點(diǎn)P的橫坐標(biāo)為12,試判斷直線OP與⊙A的位置關(guān)系,并說明理由.
![](http://hiphotos.baidu.com/zhidao/pic/item/64380cd7912397ddc17ea5b65a82b2b7d0a28778.jpg)
(1)當(dāng)點(diǎn)P在⊙A上時(shí),請(qǐng)你直接寫出它的坐標(biāo);
(2)設(shè)點(diǎn)P的橫坐標(biāo)為12,試判斷直線OP與⊙A的位置關(guān)系,并說明理由.
數(shù)學(xué)人氣:112 ℃時(shí)間:2020-03-24 11:30:59
優(yōu)質(zhì)解答
(1)點(diǎn)P的坐標(biāo)是(2,3)或(6,3).(2)連接OP,過點(diǎn)A作AC⊥OP,垂足為C.那么AP=PB-AB=12-4=8,OB=3,OP=122+32=153.∵∠ACP=∠OBP=90°,∠1=∠1,∴△APC∽△OPB.∴ACOB=APOP.∴AC3=8153.∴AC=24153≈1...
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