The invention relates to 1,3-substituted cycloalkyl derivatives having acidic, mostly heterocyclic groups and to their physiologically acceptable salts and physiologically functional derivatives. What is described are compounds of the formula I, in which the radicals are as defined, and their physiologically acceptable salts and processes for their preparation. The compounds are suitable for the treatment and/or prevention of disorders of fatty acid metabolism and glucose utilization disorders as well as of disorders in which insulin resistance is involved.