解:?$(2)$?∵?$(k$?,?$-3)$?是?$“$?有趣數(shù)對?$”$?
∴?$k-(-3)=2×k×(-3)$?,∴?$k+3=-6k$?
∴?$7k=-3$?,∴?$k=-\frac {3}{7}$?
?$(3)8[3mn-\frac {1}{2}m-2(mn-1)]-4(3m2-n)+12m2$?
?$=8(3mn-\frac {1}{2}m-2mn+2)-12\ \mathrm {m^2}+4n+12m2$?
?$=24mn-4m-16mn+16-12m2+4n+12m2$?
?$=8mn-4m+4n+16$?
∵?$(m$?,?$n)$?是?$“$?有趣數(shù)對?$”$?
∴?$m-n=2mn$?
∴原式?$=8mn-4(m-n)+16 =8mn-4×2mn+16=8mn-8mn+16 =16$?