1, method of substitution: The so-called method of substitution is to replace a part of the original formula with a new independent variable in a more complicated mathematical formula, thus simplifying it and making the problem easy to solve.
2. Factorization: Factorization is to transform a polynomial into the product of several algebraic expressions.
3. Matching method: by using the method of constant deformation, an analytical formula is matched into the sum form of one or more positive integer polynomials.
4. Discriminant method and Vieta theorem: discriminant △=b2-4ac of the root of unary quadratic equation ax2+bx+c=0(a, B, C belongs to R, a≠0). Vieta's theorem not only knows one root of a quadratic equation, but also finds another root. Knowing the sum and product of two numbers, and finding these two numbers, we can also find the symmetric function of the root.
Problems needing attention when solving problems:
1, topic avoidance tactics.
Only by solving high-quality and representative problems can we get twice the result with half the effort. However, the vast majority of students have not been able to distinguish and analyze the quality of the questions, so they need to choose exercises to review under the guidance of teachers to understand the form and difficulty of the college entrance examination questions.
2. Analyze the topic carefully.
Before you solve any math problem, you must analyze it first. Analysis is more important than more difficult topics. We know that solving mathematical problems is actually to build a bridge between known conditions and conclusions to be solved, that is, to eliminate these differences on the basis of analyzing the differences between known conditions and conclusions to be solved.
3. Make a summary of the topic.
Solving problems is not the goal. We test our learning effect by solving problems, and find out the shortcomings in learning so as to improve and improve. So the summary after solving the problem is very important, which is a great opportunity for us to learn.