9.過(guò)點(diǎn)P(-8,-1),Q(5,12),R(17,4)三點(diǎn)的圓的圓心坐標(biāo)是( C )A.(14/3 ,5) B.(5,1) C.(0,0) D.(5,-1)祥解,謝謝
熱心網(wǎng)友
9.過(guò)點(diǎn)P(-8,-1),Q(5,12),R(17,4)三點(diǎn)的圓的圓心坐標(biāo)是( C )A.(14/3 ,5) B.(5,1) C.(0,0) D.(5,-1)設(shè)圓心為S(x,y) ,因?yàn)镾P=SQ=SR所以(x+8)^2 + (y+1)^2 = (x-5)^2 + (y-12)^2(x+8)^2 + (y+1)^2 = (x-17)^2 + (y-4)^2化簡(jiǎn)為:x+y=45x+y=24解得:x=5 ,y=-1 ,選 D