Method for producing a high-strength flat steel product provided with a metallic protective coating, comprising at least the following work steps: a) providing a hot-rolled flat steel product comprising a steel which consists of (in % by weight) 0.1 - 0.5 % C, 1.0 - 3.0 % Mn, 0.7 - 2.5 % Si, 0.05 - 1 % Cr, up to 0.020 % P, up to 0.005 % S, up to 0.008 % N, and optionally one or more of the following elements: 0.01 - 1.5 % Al, 0.05 - 0.5 % Mo, 0.0004 - 0.001 % B and optionally in total 0.001 - 0.3 % V, Ti and Nb, and, as the remainder, iron and unavoidable impurities; b) pickling and cold rolling the hot-rolled flat steel product, wherein the hot-rolled flat steel product undergoes a thickness reduction of at least 37 %; c) two-stage heating of the cold-rolled flat steel product to a holding zone temperature THZ which is above the A3 temperature of the steel, wherein the heating first takes place at a first heating rate Theta_H1 of 5 - 50 K/s up to a turning temperature TW of 200 - 400 °C and above the turning temperature TW at a second heating rate Theta_H2 of 2 - 10 K/s up to the holding zone temperature THZ; d) holding the flat steel product at the holding zone temperature THZ for a duration tHZ of 5 - 15 s in a furnace atmosphere which contains 3 - 7 % by volume hydrogen, and, as the remainder, nitrogen moistened with water vapor and unavoidable impurities, wherein the dew point of the furnace atmosphere is between -22 °C and 0 °C; e) cooling the flat steel product from the holding zone temperature THZ to a temperature TLK which is not lower than 150 °C below the A3 temperature of the steel of the flat steel product, wherein the duration for the cooling from THZ to TLK is at least 50 s and at most 300 s; g) cooling the flat steel product from the temperature TLK at a cooling rate ThetaQ of at least 30 K/s to a cooling stop temperature TAB which is between the martensite start temperature TMS and a temperature which is up to 175 °C lower than TMS; g) holding the flat steel product at the cooling stop temperature TAB for a duration of 10-60 s; h) heating the flat steel product at a heating rate ThetaB1, which is at most 80 K/s, to a treatment temperature TB of 450 - 500 °C and optionally isothermally holding the flat steel product at the treatment temperature TB, wherein the total treatment time tBT for the heating and optional isothermal holding is 10 - 1000 s; i) hot-dip coating the flat steel product with a zinc-based corrosion protection coating; j) optionally tempering the coated flat steel product at a temperature of 500 - 565 °C for a duration of 10 s - 60 s; k) cooling the coated flat steel product to room temperature at a cooling rate ThetaB2 of at least 5 K/s. a) providing a hot-rolled flat steel product comprising a steel which consists of (in % by weight) 0.1 - 0.5 % C, 1.0 - 3.0 % Mn, 0.7 - 2.5 % Si, 0.05 - 1 % Cr, up to 0.020 % P, up to 0.005 % S, up to 0.008 % N, and optionally one or more of the following elements: 0.01 - 1.5 % Al, 0.05 - 0.5 % Mo, 0.0004 - 0.001 % B and optionally in total 0.001 - 0.3 % V, Ti and Nb, and, as the remainder, iron and unavoidable impurities; 0.1 - 0.5 % C, 1.0 - 3.0 % Mn, 0.7 - 2.5 % Si, 0.05 - 1 % Cr, up to 0.020 % P, up to 0.005 % S, up to 0.008 % N, and optionally one or more of the following elements: 0.01 - 1.5 % Al, 0.05 - 0.5 % Mo, 0.0004 - 0.001 % B and optionally in total 0.001 - 0.3 % V, Ti and Nb, and, as the remainder, iron and unavoidable impurities; b) pickling and cold rolling the hot-rolled flat steel product, wherein the hot-rolled flat steel product undergoes a thickness reduction of at least 37 %; c) two-stage heating of the cold-rolled flat steel product to a holding zone temperature THZ which is above the A3 temperature of the steel, wherein the heating first takes place at a first heating rate Theta_H1 of 5 - 50 K/s up to a turning temperature TW of 200 - 400 °C and above the turning temperature TW at a second heating rate Theta_H2 of 2 - 10 K/s up to the holding zone temperature THZ; d) holding the flat steel product at the holding zone temperature THZ for a duration tHZ of 5 - 15 s in a furnace atmosphere which contains 3 - 7 % by volume hydrogen, and, as the remainder, nitrogen moistened with water vapor and unavoidable impurities, wherein the dew point of the furnace atmosphere is between -22 °C and 0 °C; e) cooling the flat steel product from the holding zone temperature THZ to a temperature TLK which is not lower than 150 °C below the A3 temperature of the steel of the flat steel product, wherein the duration for the cooling from THZ to TLK is at least 50 s and at most 300 s; g) cooling the flat steel product from the temperature TLK at a cooling rate ThetaQ of at least 30 K/s to a cooling stop temperature TAB which is between the martensite start temperature TMS and a temperature which is up to 175 °C lower than TMS; g) holding the flat steel product at the cooling stop temperature TAB for a duration of 10-60 s; h) heating the flat steel product at a heating rate ThetaB1, which is at most 80 K/s, to a treatment temperature TB of 450 - 500 °C and optionally isothermally holding the flat steel product at the treatment temperature TB, wherein the total treatment time tBT for the heating and optional isothermal holding is 10 - 1000 s; i) hot-dip coating the flat steel product with a zinc-based corrosion protection coating; j) optionally tempering the coated flat steel product at a temperature of 500 - 565 °C for a duration of 10 s - 60 s; k) cooling the coated flat steel product to room temperature at a cooling rate ThetaB2 of at least 5 K/s.