In this paper, we try to use a new way to deduce the transformation formula of special relativity. On the premise of not assuming that time slows down and length shrinks, we use the experimentally verified Planck energy formula, momentum formula and mass-energy equation as the basis, namely, The Doppler frequency shift formula of the special theory of relativity, the moving mass formula and the velocity transformation formula in the special theory of relativity can be obtained. At the same time, the biggest innovation of this paper is: (1) The preconditions of the Doppler frequency shift formula are supplemented, and it is pointed out that the Doppler frequency shift formula The relative motion speed of the object in the frequency shift formula of Doppler relativity is actually relative to the speed after the object emits photons, not relative to the speed before emission, which makes up for the deficiency of the frequency shift formula of Doppler relativity; (2) Prove and The traditional relativistic aberration formula is revised, and the correct relativistic aberration formula is introduced. The correction can be used for the calculation of laser absorption and reflection of moving objects, and the calculation of radiation and absorption angle of high-speed moving particles.