实数k为何值时,两圆C1:X2+Y2+4X-6Y+12=0,C2:X2+Y2-2X-14Y+K=0
问题描述:
实数k为何值时,两圆C1:X2+Y2+4X-6Y+12=0,C2:X2+Y2-2X-14Y+K=0
答
C1:x2+4x+4+y2-6y+9+12-13=0(x+2)2+(y-3)2=1(-2,3) r=1C2:x2-2x+1+y2-14y+49+k-50=0(x-1)2(y-7)2=50-k(1,7) r=根号50-k两点间距离公式=根号(x1-x2)2(y1-y2)2∵相切分为外切和内切∴根号(-2-1)2(3-7)2=1+根号50-k或...