An x-ray device includes an x-ray tube for generation of an x-ray emanating from a focal spot of a rotary anode rotatable around a rotation axis and a slit-shaped diaphragm for generation of a fan-shaped x-ray beam that is gated from the x-ray and emission is moved through an examination region in the manner of a scan. To improve the image resolution, the fan-shaped x-ray beam can be moved over the examination region essentially in the direction of the rotational axis of the rotary anode by tilting the x-ray tube on the focal spot, with the x-ray tube being tilted on the focal spot so that the fan-shaped x-ray beam is always gated from the region of the overall emitted x-ray beam having the highest image resolution or the highest image definition in the movement through the examination region.