Does the property management company have to pay for injuries caused by playing slides in the community?

It depends on whether the slide itself is damaged, loose and other unsafe factors, and whether the guardian has done it properly. If it is the responsibility of the property, then you can apply for compensation.

Article 37 of the Tort Liability Law of People's Republic of China (PRC) stipulates that managers of hotels, shopping malls, banks, stations, entertainment places and other public places or organizers of mass activities shall bear tort liability if they fail to fulfill their security obligations and cause damage to others.