The propagation behavior of an electromagnetic wave in a medium depends heavily on the shape of the iso-frequency contour of the medium. The iso-frequency plane of a hyperbolic metamaterial is an open hyperboloid that supports the propagation of any large wave vector. The large wave vector component of an electromagnetic wave manifested as an evanescent wave in a conventional environment can be converted into a propagation field to achieve more novel electromagnetic propagation effects. In this paper, on the basis of a metamaterial with a hyperbolic iso-frequency plane, a novel material that has the properties of both hyperbolic metamaterials and zero-refractive-index materials is prepared by adjusting the shape of the iso-frequency contour. It can not only support the highly directional and unidirectional propagation of the large wave vector, but also refract an any angle incident electromagnetic wave at a zero angle. Therefore, it can be used to achieve subwavelength focusing and super resolution. These effects, namely the highly directional and unidirectional propagation, subwavelength focusing, and super resolution, are verified experimentally in the microwave domain. This research offers more possibilities for the theoretical and application studies of hyperbolic metamaterials.