已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆2内切于点P求动圆圆心M的
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![已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆2内切于点P求动圆圆心M的](/uploads/image/z/3776099-59-9.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9C%861%EF%BC%9A%EF%BC%88x%2B1%EF%BC%89%26%23178%3B%2By%26%23178%3B%3D1+%E5%9C%862+%EF%BC%88x-1%EF%BC%89%26%23178%3B%2By%26%23178%3B%3D9+%E5%8A%A8%E5%9C%86M%E4%B8%8E%E5%9C%861%E5%A4%96%E5%88%87%E4%BA%8E%E7%82%B9Q%E4%B8%94%E4%B8%8E%E5%9C%86%E5%B7%B2%E7%9F%A5%E5%9C%861%EF%BC%9A%EF%BC%88x%2B1%EF%BC%89%26%23178%3B%2By%26%23178%3B%3D1++%E5%9C%862++%EF%BC%88x-1%EF%BC%89%26%23178%3B%2By%26%23178%3B%3D9++%E5%8A%A8%E5%9C%86M%E4%B8%8E%E5%9C%861%E5%A4%96%E5%88%87%E4%BA%8E%E7%82%B9Q%E4%B8%94%E4%B8%8E%E5%9C%862%E5%86%85%E5%88%87%E4%BA%8E%E7%82%B9P%E6%B1%82%E5%8A%A8%E5%9C%86%E5%9C%86%E5%BF%83M%E7%9A%84)
已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆2内切于点P求动圆圆心M的
已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆
已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆2内切于点P求动圆圆心M的轨迹 图画得有点不标准 …… 急求解题高手解答 谢谢!
已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆已知圆1:(x+1)²+y²=1 圆2 (x-1)²+y²=9 动圆M与圆1外切于点Q且与圆2内切于点P求动圆圆心M的
圆O1的圆心为(1,0),半径是1;圆O2的圆心是(-1,0),半径是3.
设动圆的圆心是M,半径是R,
则:|MO1|=R+1,|MO2|=3-R
∴|MO1|+|MO2|=4
∴M的轨迹是椭圆,其中a=2 c=1
∴b²=a²-c²=4-1=3
∴椭圆方程为:x²/4+y²/3=1