The significance and expression of knowledge point set in mathematics test questions of college entrance examination;
(1) Understand the meaning of set and the "subordinate" relationship between elements and set through examples;
(2) Being able to choose natural language, graphic language and assembly language (enumeration or description) to describe different specific problems and feel the significance and function of assembly language;
The basic relationship between sets:
(1) Understanding the meaning of inclusion and equality between sets can identify subsets of a given set;
(2) Understand the meaning of complete works and empty sets in specific situations;
Basic operations of a collection:
(1) To understand the meaning of union and intersection of two sets, it is necessary to combine and intersect two simple sets;
(2) Understanding the meaning of the complement set of a subset in a given set will lead to the complement set of a given subset;
(3) Be able to express the relationship and operation of sets with graphs, and understand the role of intuitive graphs in understanding abstract concepts.
How to learn math set well? Applying the idea of classification to solve the problem of mathematical set. The idea of classification is to divide mathematical objects into different categories and study them in different ways according to their different attributes, properties and relationships. Generally speaking, the solutions to the same type of mathematical problems are similar. As long as you learn one of the solutions, you can spontaneously extend it to other problems and achieve the effect of drawing inferences from others. The idea of classification is widely used in mathematics, which is the focus, difficulty and test site in the process of mathematics learning in senior high school. The idea of classification is difficult, but as long as we master this idea, many mathematical problems can be solved easily. For example, let the set A={x|x2+2x=0, x∈R} and the set b = {x | x2+a-1x+a2-1= 0, a∈R}. If BA, find the value of the number A.
Combine the transformation of ideas with the problem of set. Transformation is also called classification. From ancient times to the present, learning and applying mathematics should have the idea of transformation. Switching ideas can turn complex problems into simple ones, which is the charm of switching. It is the most widely used idea in the process of mathematics education, and the problems before and after transformation are often equivalent, which is also one of the meanings of transformation.