Dirac semimetal is a new kind of topological quantum material, which has attracted extensive attention due to its rich and interesting optical properties. In this paper, an one-dimensional photonic crystal based on Dirac semimetal Cd3As2, CdTe dielectric film and air defect layer is designed. The evolutions of the reflectance and transmittance of the photonic crystal with temperature, incident wavelength and incident angle are simulated and revealed by using the transfer matrix theory. The results show that the photonic crystal can produce a photonic band gap in the mid infrared band by using appropriate structural parameters. As the temperature increases, the width of the photonic band gap gradually becomes narrow, the reflectance and transmittance in the wavelengths of photonic band gap gradually decrease. At the oblique incidence, both the band edges and the central wavelength of photonic band gap shift toward short wavelength as the incident angle increases. When the incident light is p-polarized, the width of band gap gradually decreases. When the incident light is s-polarized, the width of band gap nearly keeps unchanged.