The utility model provides a long-focus projection optical
system and projection equipment, and belongs to the technical field of
optical imaging. The long-focus projection optical
system comprises a first lens with negative focal power, a second lens with negative focal power, a third lens with positive focal power, a fourth lens with positive focal power, a fifth lens with negative focal power, a sixth lens with positive focal power, a seventh lens with negative focal power and an eighth lens with positive focal power. The long-focus projection optical
system comprises a first lens with a positive focal power, a second lens with a positive focal power, a third lens with a positive focal power, a ninth lens with a positive focal power, a tenth lens with a positive focal power and a
light valve, so that the total optical length of the long-focus projection optical system is controlled within 76.85 mm, the definition reaches more than 1080P, and the aperture value is 2.0-2.6; wherein the first lens is a plastic
aspheric lens, and the other lenses are spherical lenses. According to the scheme, the ten lenses are adopted, and the focal power and the
shape matching relation of the lenses are reasonably set, so that the long-focus projection optical system which is small in size, high in resolution, low in cost, small in projection ratio and free of virtual focus at high temperature is realized.