  One-dimensional Schr\"odinger operators with singular perturbed magnetic and
electric potentials are considered. We study the strong resolvent convergence
of two families of the operators with potentials shrinking to a point.
Localized $\delta$-like magnetic fields are combined with $\delta\,'$-like
perturbations of the electric potentials as well as localized rank-two
perturbations. The limit results obtained heavily depend on zero-energy
resonances of the electric potentials. In particular, the approximation for a
wide class of point interactions in one dimension is obtained.
