∵点P(x0,y0,z0)到平面α的距离为:d= |Ax0+By0+Cz0+D| A2+B2+C2 ,∴坐标原点到平面α:x+y+z-2=0的距离:d= |0+0+0?2| 3 = 2 3 3 .故答案为: 2 3 3 .