The epidemic has had a great impact on people and improved students' awareness of paying attention to their own health. Through the investigation of higher vocational students, the author and the research team collected 4741 questionnaires for research and analysis, and analyzed the data in four aspects: the impact of the epidemic on sports concept and psychology, the impact of intelligent equipment on physical exercise, the purpose of sports activities and the selection of online teaching content, and the impact of gender differences. This paper puts forward some suggestions on the development of online teaching of physical education courses in higher vocational colleges.

With the popularization of the Internet and the rapid development of computer network technology, human beings have entered a brand new era - the information age. This kind of network technology beyond space not only brings well-being to people, but also subtly affects the ideas and behaviors of teenagers. It not only changes their lifestyle and values, but also quietly makes them mentally ill, resulting in an endless series of problems of juvenile cybercrimes. For the purpose of promoting the governance of Internet crimes among young people effectively and avoiding crimes among special groups of young people, this paper plans to base on the concept of Internet crimes of teenagers, summarize the characteristics of youth crimes in our country, analyze its influence factors and propose the measures to deal with it.

Mind map is a new way of thinking that visualizes and visualizes radioactive thinking. The application of mind map in teaching is consistent with the expression of "development of thinking ability" in the "Chinese Curriculum Standards". Its concise construction and clear expression can, on the one hand, convey the ideas of language expressors more quickly and quickly, and on the other hand. On the one hand, it can make the language receiver easier and clearer to understand the message the other party wants to convey.This paper analyzes the application rules of mind map in classroom teaching, and expounds the application strategy of mind map in primary Chinese oral communication teaching from three aspects: picture-text combination, picture-introduction, and picture-introduction. The effective development of primary school students' innovative thinking and logical ability promotes the effective improvement of primary school students' oral communication skills.

The learning of English courses is not only a process for students to master language knowledge and skills, but also a process for improving students' comprehensive humanistic quality. The integration of moral education in English teaching can not only cultivate students' good study habits, improve the efficiency of English learning, but also help to cultivate students' excellent moral quality. Through the research on the organic integration strategy of primary school English teaching and moral education, this paper aims to provide an effective method for the effective integration of primary school English teaching and moral education, so as to promote the improvement of the level of primary school moral education and achieve the goal of building morality and cultivating people.

Cultivating the thinking quality of high school students is one of the core tasks of high school English curriculum reform. This paper expounds the relationship between the cultivation of thinking quality and reading teaching, combined with the practice of online teaching, taking the Welcome to the unit & reading part of Unit 3 Back to the past in the module 3 of the Jiangsu Education Edition as an example, to discuss how to cultivate English reading in senior high school. Students' logical thinking and critical thinking ability demonstrate the feasibility of cultivating students' thinking quality in the process of high school English reading teaching.

It is well known that determining the exact values of crossing number for circulant graphs is very difficult. Even so, some important results in this field are still proved. D.J. Ma was proved that the crossing number of C(2m + 2, m) is m + 1[8]. Then such problem for C(n, 3) was further solved [7]. Pak Tung Ho and X. Lin obtained accurate values for the crossover numbers of C (3m, m) and C (3m + 1, m)[4][5]. In this paper, as a complement, we show that the edges from the principal cycle of C(9, 3) do not cross each other in an optimal drawing.