  This report highlights the recent BESIII results related to the R value
measurements, radiative decays of $J/\psi$ and polarization of $D^0 \to \omega
\phi$ decay. The BESIII, a symmetric electron-positron collider experiment, has
collected a large data sample at several energy points in the tau-charm region,
including $J/\psi$ and $\psi(3770)$ resonances. Based on the data samples
collected at 14 center-of-mass energy ($\sqrt{s}$) points between 2.2323 and
3.671 GeV, BESIII has achieved the accuracy of the R value measurement up to
the level of $2.6\%$ for $\sqrt{s} \le 3.1$ GeV and $3.0\%$ for $\sqrt{s} >
3.1$ GeV. BESIII has also observed $X(2600)$ resonance and polarization of $D^0
\to \omega \phi$ for the first time. The polarization of $D^0 \to \omega \phi$
saturates with completely transverse polarization, which is inconsistent with
the existing theoretical models. These results are useful in testing the
precision of the Standard Model.
