22.在平面直角坐標(biāo)系xOy中,已知A(-2,0),圓C:(x-1)
2+y
2=1與x軸交于O,B.
(1)證明:在x軸上存在異于點(diǎn)A的定點(diǎn)T(t,0),使得對(duì)于圓C上任一點(diǎn)P,都有
為定值;
(2)點(diǎn)M為圓C上位于x軸上方的任一點(diǎn),過(1)中的點(diǎn)T(t,0)作垂直于x軸的直線l,直線OM與l交于點(diǎn)N,直線AN與直線MB交于點(diǎn)R,求證:點(diǎn)R在橢圓上運(yùn)動(dòng).