1. Solve the absolute value problem (simplification, evaluation, equation, inequality, function) and turn the problem with absolute value into the problem without absolute value. The specific transformation method is as follows:
(1) Classification discussion method: according to the positive, zero and negative scores of numbers or formulas in absolute value symbols, the absolute value is removed.
(2) Zero-paragraph discussion method: it is suitable for the case that multiple absolute values contain one letter.
(3) Bilateral flattening method: it is suitable for equations or inequalities with non-negative edges.
(4) Geometric meaning method: it is suitable for the situation with obvious geometric meaning.
2. It is an important skill to choose the method according to the number of terms and follow the general steps.
3. Using the complete square formula to change a formula or part into a complete square is the matching method, which is an important method and skill in mathematics.
4. method of substitution is used to solve some complicated special equations.
5. The undetermined coefficient method is a method to find the object under the condition that the shape of the object is known. It is suitable for solving some important problems, such as coordinates, resolution function and curve equation.
There are two kinds of mathematical inequalities in senior high school: basic inequality and absolute inequality. Especially the basic inequality: geometric average.
Generally, it will be more or less tested in the college entrance examination in various provinces and cities, and it is easier to appear in the form of multiple-choice questions or fill-in-the-blank questions. Basic inequalities will also be frequently used in the application questions of big questions (generally, the same answer can be obtained by derivative, but using basic inequalities will make the calculation easier).