  Using $(106\pm4)\times 10^6$ $\psip$ events accumulated with the BESIII
detector at the BEPCII $e^+e^-$ collider, we present measurements of the
branching fractions for psi' decays to $K^{+}K^{-}\pi^{0}$ and
$K^{+}K^{-}\eta$. In these final states, the decay $\psi'\to
K_2^{*}(1430)^+K^-+c.c.$ is observed for the first time, and its branching
fraction is measured to be $(7.12\pm{0.62}{\rm (stat.)}^{+1.13}_{-0.61}{\rm
(syst.)})\times 10^{-5}$, which indicates a violation of the helicity selection
rule in $\psip$ decays. The branching fractions of $\psi'\to
K^*(892)^+K^-+c.c., \phi\eta, \phi\pi^0$ are also measured. The measurements
are used to test the QCD predictions on charmonium decays.
