Mathematical motif means that several similar problems can be evolved. In geometry teaching, a motif can evolve into multiple problems. For example, in the chapter of similar graphics, the projective theorem can evolve related geometric problems as the motif.

Another example is binary linear equation and linear function, which can be transformed into each other. This is a common phenomenon in mathematics. Therefore, the motif is basic and can be transformed.

How to learn mathematics well;

First, take the initiative to preview

The purpose of preview is the process of actively acquiring new knowledge, which is helpful to mobilize the initiative of learning. Before explaining new knowledge, it is an important means to read the teaching materials carefully and develop the habit of previewing actively.

Therefore, we should pay attention to cultivating self-study ability and learn to read books. For example, if you teach yourself an example, you should find out what the example is about, what the conditions are, what you want, how to answer it in the book, why you answer it like this, whether there is a new solution and what the steps are. Grasp these important problems, think with your head, go deep step by step, and learn to use existing knowledge to explore new knowledge independently.

Second, active thinking.

Many students just listen and can't think actively in the process of listening, so when they encounter practical problems, they don't know how to apply what they have learned to answer them.

The main reason is that you didn't consider the trouble caused in class. In addition to following the teacher's thinking, we should also think more about why we define it like this, and what are the benefits of solving problems like this. Taking the initiative to think can not only make us listen more carefully, but also stimulate our interest in some knowledge and help us learn more.

Rely on the teacher's guidance to think about the way to solve the problem; The answer is really not important; What matters is the method!

Third, there must be a wrong book.

Speaking of wrong books, many students feel that they have a good memory and can remember them without wrong books. This is an "illusion", and everyone has this feeling. When the problems increase and the learning content deepens, you will find yourself at a loss.

Wrong questions can record your own knowledge shortcomings at any time, which is helpful to strengthen the knowledge system and improve learning efficiency. Many schoolmasters got high marks because they used the wrong textbooks on their own initiative.

Fourth, finish your homework independently.

Nowadays, many students use some applications to help them finish their homework. They can find the answer by looking for photos, or copy other students' homework. This can be divided into two situations. One is for quick photos and speed. If you do this often, you will form a bad habit of reviewing questions, which is easy to be clear at a glance and careless.

Another is for convenience, which will lead to students' fear of trouble. Once the topic is a little difficult, they will start to get upset and confused. So everyone must form the good habit of finishing homework independently.