圆O1的方程为x2+(y+1)2=4,圆O2的圆心为O2(2,1).
0 54771 54779 54785 54789 54795 54797 54801 54807 54809 54815 54821 54825 54827 54831 54837 54839 54845 54849 54851 54855 54857 54861 54863 54865 54866 54867 54869 54870 54871 54873 54875 54879 54881 54885 54887 54891 54897 54899 54905 54909 54911 54915 54921 54927 54929 54935 54939 54941 54947 54951 54957 54965 266669
(1)若⊙O2与⊙O1外切,求圆O2的方程,并求内公切线方程;
(2)若⊙O2与⊙O1交于A、B两点,且|AB|=2
,求⊙O2的方程.