规定一种运算“*”:对于任意实数对(x,y)恒有(x,y)*(x,y)=(x+y+1,x2-y-1).若实数a,b满足(a,b)*(a,b)=(b,a),则a=______,b=______.
由题意得:
,a+b+1=b a2-b-1=a
解得
,a=-1 b=1
故答案两空分别填-1,1.
规定一种运算“*”:对于任意实数对(x,y)恒有(x,y)*(x,y)=(x+y+1,x2-y-1).若实数a,b满足(a,b)*(a,b)=(b,a),则a=______,b=______.
由题意得:
,a+b+1=b a2-b-1=a
解得
,a=-1 b=1
故答案两空分别填-1,1.