∵f（x）=√2/2sin（2x+π/4）+1/2,当2x+π/4∈[-π/2+2kπ,π/2+2kπ]时单调递增当2x+π/4∈[π/2+2kπ,3π/2+2kπ]时单调递减∴x∈[-3π/8+kπ,π/8+kπ]时单调递增x∈[π/8+kπ,5π/8+kπ]时单调递减∴f(x)在[-...