The invention relates to substituted N-cyclohexylheterocycles and to the physiologically tolerated salts and physiologically functional derivatives thereof, to processes for their preparation and to their use as medicaments.Compounds of the formula I, ##STR00001## in which the radicals have the stated meanings, and the physiologically tolerated salts thereof, and process for their preparation are described. The compounds bring about for example a weight reduction in mammals and are suitable for example for the prevention and treatment of obesity and diabetes.