A high-performance anode plate for a directly cooled rotary piston x-ray tube is formed of a high-temperature-resistant material such as tungsten, molybdenum or a combination of both materials. In the region of the focal spot path, the underside of the anode plate is shaped, and/or in this region a different highly heat-conductive material is inserted or applied, such that an improved heat dissipation and thus a lower temperature gradient results.