Venndiagram is a branch of set theory (or class theory) mathematics, which is used to represent the sketch of a less strict set (or class). It is often used to explain the mathematical or logical relationship between different groups of things (sets), express the "approximate relationship" between sets or classes, and help to deduce or understand the rules in the derivation process of set operations or class operations.

First, set theory?

It is generally feasible to draw Wayne diagram with the idea of set theory. Sets are generally divided into intersection, union and complement, and are usually represented by circles or ellipses. Therefore, there are many ways to draw Wayne diagram, among which the quick flow chart contains many graphic styles to choose from, and the styles can be beautified by color and gradient modification.

Intersection: Let A and B be two sets, and set C composed of elements belonging to set A and set B is the intersection of set A and set B, which is marked as a ∩ b = c;

Union: Let A and B be two sets, and all the elements in set A and set B are merged into one set, which is the union set, and it is recorded as A and B. ..

Complete complement set: Let U be a set, A be a subset of U, and the set composed of all elements in U that do not belong to A is called the complement set of subset A in U, and it is denoted as CUA.

Related Complement Set: If A and B are two sets, then the relative complement set of A in B is that its elements belong to B, not A. ..

Second, Wayne Atlas's painting.

Understanding set theory is helpful for us to draw Wayne diagram, just like this time, taking mathematical logic as an example to draw Wayne diagram. Suppose one group is 1, 3,5,7,95 natural numbers, and the other group is 1, 3,5,6,85 natural numbers. Obviously, both groups have the characteristics of 1, 3,5, except that one group contains 7,9 and the other group contains 6,8.

At this time, it is necessary to draw two arbitrary graphical representation sets first, and then use a graph to display the union content of each set and * * *.

Thirdly, Wayne illustrated the mathematical problems with examples.

After correctly understanding Wayne diagram, we can try to apply it to mathematical scenes. For example, there are 60 students in a class * * *, of which 22 take math and 33 take English. 10 takes math and English at the same time. How many people in this class didn't take math elective courses and English elective courses?

Answer: First of all, you can regard math elective course and English elective course as a whole (set) respectively, and then you need to display these two whole, and fill in the corresponding numbers in each whole, and then do the operation.

Fourth, the application of Wayne diagram in life.

Next, we can also apply Wayne diagram to our lives. For example, at this time, Wayne diagram is used to show the similarities and differences of fish, frog and eagle.

Fish: animals, vertebrates and non-mammals that breathe through gills can't live on land, but move underwater and the temperature rises;

Frog: amphibians, living underwater, warm-blooded animals, vertebrates, non-mammals, breathing with lungs, can move on land;

Birds: Warm-blooded animals, breathing with air bags, can move in the air, breathe with lungs, and can move on land.