The so-called formula is to change some items of an analytical formula into the sum of positive integer powers of one or more polynomials by using the method of constant deformation. The method of solving mathematical problems in senior high school entrance examination with formulas is called matching method. Among them, the most common method is to make it completely flat. Matching method is an important method of constant deformation in mathematics, which is widely used in factorization, simplifying roots, solving equations, proving equality and inequality, finding extreme values of functions and analytical expressions.
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2, factorization method
Factorization is to transform a polynomial into the product of several algebraic expressions. Factorization is the basis of identity deformation. As a powerful tool and mathematical method, it plays an important role in solving algebra, geometry and trigonometric functions. There are many methods of factorization, such as extracting common factors, formulas, grouping decomposition, cross multiplication and so on. Middle school textbooks also introduce the use of decomposition and addition, root decomposition, exchange elements, undetermined coefficients and so on.
3. Alternative methods
Method of substitution is a very important and widely used problem-solving method in mathematics of senior high school entrance examination. We usually refer to unknowns or variables as elements. The so-called method of substitution is to replace a part of the original formula with new variables in a complicated mathematical formula, thus simplifying it and making the problem easy to solve.
Matters needing attention in mathematics of senior high school entrance examination
1。 Browse the whole volume, easy first, then difficult.
Everyone understands this truth, but not everyone can do it. Some top students solve difficult problems as soon as they come up and spend a lot of time solving math problems in the senior high school entrance examination. The previous basic questions were sloppy, but I lost more than ten points. Everyone must be able to settle accounts: 6 points for the same topic. It may take 5 minutes to fill in the blanks in front and 40 minutes to get the answers in the back.
2。 Examine the questions carefully and don't take detours.
3。 Master problem-solving skills and save time.
Mathematics multiple-choice questions and fill-in-the-blank questions in the senior high school entrance examination are the easiest to "grab time". Learn to use exclusion skillfully when doing multiple-choice questions. Fill in the blanks with careful calculation and quick calculation. Because there is no process, some conclusions that are not usually used in solving problems can be used directly. For example, two right triangles each have a hypotenuse, and their four points are * * * circles. If you can't do it, you can make reasonable reasoning by intuition. Just like English language sense, if you do more questions, you will naturally have intuition.
4。 Correct positioning, key breakthrough.
When you take the senior high school entrance examination for mathematics, you should determine your own scoring direction according to your own strength. If you can get points, make sure you don't lose a point; You must be willing to give up the topic you can't start; We must persist in tackling problems that have certain ideas but are not sure.