1.對(duì)x,y定義一種新運(yùn)算T,規(guī)定:T(x,y)=(mx+ny)(x+2y)(其中m,n均為非零常數(shù)).例如:T(1,1)=3m+3n.
(1)已知T(1,-1)=0,T(0,2)=8.
①求m,n的值;
②若關(guān)于p的不等式組
恰好有3個(gè)整數(shù)解,求a的取值范圍;
(2)當(dāng)x
2≠y
2時(shí),T(x,y)=T(y,x)對(duì)任意有理數(shù)x,y都成立,請(qǐng)直接寫(xiě)出m,n滿足的關(guān)系式.