Research On Elementary Function Range

Elementary function is the core of modern variable mathematics, is the foundation of high school mathematics, mathematics is a prerequisite for development. To learn and master the elementary function is to study mathematics. Elementary function is an important achievement of the development of modern mathematics, is not only the main object of study, but also an important tool to study mathematics. Elementary functions characterize complex the relationship between the variables with the function of simple structure; mathematical relationship between different systems; reveals the essence of mathematics is the mathematics relation. Standardized research contents of elementary mathematics. The elementary function with a simple characterization of mathematical symbol language variation, variable nature of the rich, widely used in research. The elementary function promotes the application of mathematics, but also promoted the progress of mathematics itself, have a profound impact on the development of mathematics.With the actual requirement of the rapid development of production and the progress of science and technology, mathematics has penetrated into all fields of scientific development, many science especially the dynamic development of natural science, is an important tool for learning and application of modern science and technology. The elementary function as the foundation of mathematics, elementary mathematics is long-term center content. As a function of abstract concepts a variety of forms, complex structure, flexible solution, so the elementary function is the difficulty of learning, is the emphasis of the study. Make full use of all kinds of mathematical tools, simplified function structure, applied mathematics language problem, accurately grasp the nature of the function, the abstract problem specific and complicated problem, facilitate learning and teaching.This paper mainly discusses the method for finding the origin background, basic concept, essence, function properties and mathematical model and function of the elementary functions. Analyzing the relationship function between the variables, to reveal the nature of the function, mathematical thoughts exploration method, the basic method for the summary function. Based on the relationship between the structure of function variables the special nature, function analysis, mathematical ideas and methods, the basic idea of inductive function, analyze problems, to abstract the nature of the function. The creation of solve function domain fusion paradigm, the middle school mathematics teaching material, combined with the actual knowledge level of the students, in the teaching process; ability training problems and thinking of students independent learning the use of knowledge; independent problem-solving ability; training transfer and innovation ability of knowledge. Using mathematics knowledge creatively, analysis with mathematical problems, constructing the corresponding algebraic or geometric background, create a reasonable mathematical model to solve the problem, the range of elementary functions.