Knowledge representation models and automated reasoning algorithms are most important problems in designing knowledge base systems in artificial intelligence, especially in intelligence problem solver (IPS). One of effective models is the COKB (Computational Objects Knowledge Base model), which can be used to represent and to design the knowledge-base of practical intelligent systems. Nevertheless, recent researches about the basic theory of COKB model only studies the computational objects' attributes that have simple values. And the network of computational objects model also considers some event as computational relation between attributes or objects. The COKB model also needs a deeper research, specially the computational objects and problem model on COKB. Consequently, in this paper we will focus on an improvement and standardization of the computational objects, networks of computational objects model. Base on that, we will develop the algorithms to solve the related problems and design an application (which can solve problems in plane geometry). The systems were implemented by using the MAPLE and C#.