A mixer having high linearity and an associated transconductor combining programmable gain amplifier and mixer functions are provided. The transconductor includes first and second resistors, a differential amplifier, first and second feedback circuits, and first and second transistors. A differential voltage signal is inputted to first and second input ends of the differential amplifier via the first and second resistors. The first and second feedback circuits are provided between a first output end and the first input end, and a second output end and the second input end of the differential amplifier, respectively. The first output end outputs a first output signal for controlling a first current passing through the first transistor. The second output end outputs a second output signal for controlling a second current passing through the second transistor. The first current and the second current determine a differential current.