已知過(guò)點(diǎn)A(0,1)且斜率為k的直線l與圓c:(x-2)?+(y-3)?=1相交于M、N兩點(diǎn)
已知過(guò)點(diǎn)A(0,1)且斜率為k的直線l與圓c:(x-2)?+(y-3)?=1相交于M、N兩點(diǎn)
數(shù)學(xué)人氣:991 ℃時(shí)間:2019-08-21 21:05:35
優(yōu)質(zhì)解答
(1)由題意得:L:y=kx+1,代入圓的方程并整理得一元二次方程 (k+1)x2-4(k+1)x+7=0,此方程有兩個(gè)不相等的實(shí)數(shù)根,所以[-4(K+1)]^2-4*7(K+1)0,解得k<-1或k3/4,(2)因M,N共線,向量AM,AN的夾角=0,AM*AN=|AM|*|AN|*c...
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