  New sum rules for $B\to \pi,K $ and $B\to \rho,K^*$ form factors are derived
from the correlation functions expanded near the light-cone in terms of B-meson
distribution amplitudes. The contributions of quark-antiquark and
quark-antiquark-gluon components in the B meson are taken into account. Models
for the B-meson three-particle distribution amplitudes are suggested, based on
QCD sum rules in HQET. Employing the new light-cone sum rules we calculate the
form factors at small momentum transfers, including $SU(3)_{fl}$ violation
effects. The results agree with the predictions of the conventional light-cone
sum rules.
