Mathematics Problem Solving Methods, Mathematics Problem Solving Methods

First see the problem, and then deduce it step by step.

Read the inscription! Positive thinking and reverse thinking to solve problems!

1. Matching method.

The so-called formula, the dust year, is to use the method of identity deformation of an analytic formula, and assign some of the terms into one or several polynomials to the sum of integer powers.

2. Factorization.

Factorization is the form of multiplying a polynomial into several integer products.

3. Substitution method.

The commutation method is a very important and widely used method of solving problems in mathematics.

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4. Counter-evidence.

Counterproof is a kind of indirect evidence, which is a method of first putting forward a hypothesis that is contrary to the conclusion of a proposition, and then, starting from this hypothesis, through correct reasoning, leads to contradictions, so as to deny the opposite hypothesis and achieve a method of affirming the correctness of the original proposition.

Let's talk about the basic knowledge part first, master the basic exercises in the textbooks, so that you can complete the more basic fill-in-the-blank questions, in the middle of the questions, basically divided into a single algebra problem or a single geometry problem, or algebraic geometry synthesis of the problem, the solution methods are also different, algebra is mainly to calculate (pay attention to the steps and simple algorithms to solve the problem, the use of arithmetic laws, etc.), will solve equations, will look at the image of the function, will look at the statistical chart, geometry problems should mainly be clear about the recognition of the figure, For example, at a glance, you can know that you need to prove congruence, or you need to use the judgment and properties of quadrilaterals, or you need to solve problems with knowledge of similarity, etc., and cultivate your own 'sense of form'.

In general, the first few questions of this kind of questions are not particularly difficult, you first have the patience to see the conditions of the problem clearly, and then consider a variety of problem solving ideas and methods to solve it, such as finding the area or finding the analytic problem with a moving point on the edge of a square in the coordinate system, first look at what the known side length of the problem is, how much is the velocity, which is moving in which direction, and then find the relevant length, If you want to find the functional relationship, you can first look at where to start, analysis, induction, summary, classification, analogy, comparison, association, construction and other methods can be used.

In addition, it is necessary to have a solid foundation, do more questions, and summarize experience and experience in actual combat.

Solution: Add the left and right sides of the above three equations respectively to obtain the equation: 2(a+b+c)=250, a+b+c=125

a=125-（b+c）=125-105=20b=125-（a+c）=125-80=45c=125-（a+b）=125-65=60

It's so general. . .

A few requirements. 1. Understand the concept If you want to explain what you add, can you explain it right away, can you explain it clearly, and if you can't do it, review and understand the concept.

2. Be familiar with the example questions in the textbook, explain the knowledge points in the example questions, explain the questions, and most importantly, the problem solving specifications, how to write and how to express, all of them must be familiar with the example questions.

3 Assist a lot Note that there are a lot of exercises, but you don't have to do all of them Repeat the questions only change the number and the content remains the same You can skip it.

4 Continuity This is very important When we practiced in the past, the teacher of each subject would give the example of an oil seller, and the conclusion was that you are only familiar with each subject (you are only familiar with it, you have practiced a lot) You can do it all You don't fish for three days and dry your nets for two days, read math books every day, use them as bedtime reading, and develop your sense of math.

That's almost all for the points

Read the question, review the meaning of the question, organize your thoughts, and mark it as you go.

When you see the questions, you have to think of the test center, and answer them according to the test center, you can't blindly ask for answers, all the questions are deepened by the example questions in the book, change, and change from the original, and mastering the content of the book is the most important thing!

Also, you must be careful when you look at the question, when you can't solve the problem, you can read the question again, which is very useful!!

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