設(shè)圓心O坐標(biāo)為(X,Y),圓心到ABC三點(diǎn)距離相等為圓的半徑R
則OA=OB=OC=R
OA^2=OB^2=OC^2
(X+2)^2+(Y-4)^2=(X+1)^2+(Y-3)^2=(X-2)^2+(Y-6)^2=R^2
求出X-Y=-5
2X+Y=5
X=0 Y=5
R^2=4+1=5 R=√5
所以圓為X^2+(Y-5)^2=5
過點(diǎn)A(-2,4),B(-1,3),C(2,6)求圓的標(biāo)準(zhǔn)方程
過點(diǎn)A(-2,4),B(-1,3),C(2,6)求圓的標(biāo)準(zhǔn)方程
數(shù)學(xué)人氣:173 ℃時(shí)間:2020-04-07 20:29:30
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