圆C1:x2+y2=4和C2:x2+y2-6x+8y-24=0的位置关系是______.
人气:247 ℃ 时间:2020-04-07 05:27:09
解答
∵圆C
1:x
2+y
2=4的圆心C
1(0,0),半径为2,C
2:x
2+y
2-6x+8y-24=0 即(x-3)
2+(y+4)
2=49,圆心C
2(3,4),
半径为 7,两圆的圆心距等于
=5,正好等于两圆的半径之差,故两圆相内切,
故答案为:内切.
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