问题
填空题
若点P(x,y)的横、纵坐标满足|2x-y+3|+(2x+y-3)2=0,则P点坐标是______.
答案
∵|2x-y+3|+(2x+y-3)2=0,
∴2x-y+3=0,2x+y-3=0,
即
,2x-y=-3① 2x+y=3②
①+②得:4x=0,
解得:x=0,
②-①得:2y=6,
解得:y=3,
即P点的坐标是(0,3),
故答案为:(0,3).
若点P(x,y)的横、纵坐标满足|2x-y+3|+(2x+y-3)2=0,则P点坐标是______.
∵|2x-y+3|+(2x+y-3)2=0,
∴2x-y+3=0,2x+y-3=0,
即
,2x-y=-3① 2x+y=3②
①+②得:4x=0,
解得:x=0,
②-①得:2y=6,
解得:y=3,
即P点的坐标是(0,3),
故答案为:(0,3).