The COVID-19 pandemic has had a negative impact on all spheres of life, including economic, political, social and professional. However, the field of education can confidently be called one of those on which the pandemic has had the greatest impact on a global scale. The education sector has become one of the few prepared to transfer most of its processes to the online mode. The experimental schools were able to function effectively and even strengthen themselves in the conditions of the global crisis, in which the educational process is built using hybrid intelligent learning systems. The article reveals the features of the functioning of such systems, the formation of knowledge bases and tools of expert systems, methods, algorithms, methods that provide the processes of operational training, control and evaluation of knowledge, competencies and procedures in the information and educational intellectual environment. Significant results include the conclusions of a pilot experimental study to determine the effectiveness and efficiency of the functioning of hybrid intelligent learning systems in the conditions of distance and blended learning. Expert evaluation of the results of the state unified examination in mathematics confirmed the high quality of subject-based learning in experimental classes based on a hybrid intellectual system developed and implemented in the educational process to support the educational and research activities of schoolchildren.