A method for anti-corrosion treatment of a series of metal components comprising metal components that have, at least in part, zinc surfaces, and those which have at least one aluminum surface, in which method the metal components of the series successively undergo the following wet-chemical treatment steps: activation by bringing into contact with an alkaline aqueous dispersion which has a D50 value of less than 3 μm and the inorganic particulate constituent of which comprises phosphates, the entirety of these phosphates being composed at least partially of hopeite, phosphophyllite, scholzite, and/or hureaulite, and the proportion of phosphates in the inorganic particulate constituent, based on the alkaline aqueous Dispersion, being less than 0.8 g/kg calculated as PO 4; zinc phosphating by being brought into contact with an acidic aqueous composition having a pH below 3.5, containing (a) 5-50 g/kg of phosphate ions, (b) 0.3-3 g/kg of zinc ions, and (c) at least one source of free fluoride, complex fluorides of the element silicon being contained as the source of free fluoride, both the concentration of silicon in water-dissolved form and the concentration of free fluoride in the acidic aqueous composition being at least 0.5 mmol/kg, characterized in that the quotient of the concentration of the phosphates in the inorganic particulate constituent of the alkaline aqueous dispersion of the activation is, in mmol/kg, with respect to the sum of the concentration of free fluoride and the concentration of silicon in each case in the acidic aqueous composition of the zinc phosphating, and in each case in mmol/kg, greater than 0.5. activation by bringing into contact with an alkaline aqueous dispersion which has a D50 value of less than 3 μm and the inorganic particulate constituent of which comprises phosphates, the entirety of these phosphates being composed at least partially of hopeite, phosphophyllite, scholzite, and/or hureaulite, and the proportion of phosphates in the inorganic particulate constituent, based on the alkaline aqueous Dispersion, being less than 0.8 g/kg calculated as PO 4; zinc phosphating by being brought into contact with an acidic aqueous composition having a pH below 3.5, containing (a) 5-50 g/kg of phosphate ions, (b) 0.3-3 g/kg of zinc ions, and (c) at least one source of free fluoride, complex fluorides of the element silicon being contained as the source of free fluoride, both the concentration of silicon in water-dissolved form and the concentration of free fluoride in the acidic aqueous composition being at least 0.5 mmol/kg, characterized in that the quotient of the concentration of the phosphates in the inorganic particulate constituent of the alkaline aqueous dispersion of the activation is, in mmol/kg, with respect to the sum of the concentration of free fluoride and the concentration of silicon in each case in the acidic aqueous composition of the zinc phosphating, and in each case in mmol/kg, greater than 0.5. (a) 5-50 g/kg of phosphate ions, (b) 0.3-3 g/kg of zinc ions, and (c) at least one source of free fluoride, complex fluorides of the element silicon being contained as the source of free fluoride, both the concentration of silicon in water-dissolved form and the concentration of free fluoride in the acidic aqueous composition being at least 0.5 mmol/kg, characterized in that the quotient of the concentration of the phosphates in the inorganic particulate constituent of the alkaline aqueous dispersion of the activation is, in mmol/kg, with respect to the sum of the concentration of free fluoride and the concentration of silicon in each case in the acidic aqueous composition of the zinc phosphating, and in each case in mmol/kg, greater than 0.5. both the concentration of silicon in water-dissolved form and the concentration of free fluoride in the acidic aqueous composition being at least 0.5 mmol/kg, characterized in that the quotient of the concentration of the phosphates in the inorganic particulate constituent of the alkaline aqueous dispersion of the activation is, in mmol/kg, with respect to the sum of the concentration of free fluoride and the concentration of silicon in each case in the acidic aqueous composition of the zinc phosphating, and in each case in mmol/kg, greater than 0.5.