First, the basic properties of inequality:

3 (deriving the magnitude relation from the positive and negative results of the difference) +8 (symmetry, transitivity, additivity, addition, multiplication, multiplication, power operation and root operation)

Second, basic inequality.

Mean inequality: the relationship among square mean, arithmetic mean, geometric mean and harmonic mean.

(Basic inequality is only a part of mean inequality)

Basic inequality: the relationship between the arithmetic mean and the geometric mean of two or more integers.

The product is a constant value with a minimum value; The sum is the maximum value of the fixed value product, and the steps are positive, fixed, etc. The difficulty lies in the setting value, and mistakes are easy to forget the analysis. If they are not equal, the maximum value should be analyzed through the properties of tick function.

Important inequality: derived from the complete square difference formula.

Third, the solution of inequality.

The Solution of Univariate Quadratic, Fraction, Absolute Value, Radical and Higher Inequality

There are also solutions to various functional inequalities: trigonometric inequality, logarithmic inequality, exponential inequality and so on.

Fourth, the proof of inequality:

There are many methods and skills, mainly focusing on mathematical induction and scaling (compulsory for college entrance examination)

Five, linear programming:

1, the maximum value of the objective function in the feasible region is conventionally solved.

2. Parameter problem in feasible region or objective function.

3. The need of nonlinear problems is transformed into some geometric solution:

Slope, the distance between two points in a plane, the equation of a circle, the distance from a point to a straight line.

4. Optimal integral solution problem:

It is required that the optimal solution must be the whole point (the abscissa and ordinate are all integers), and it needs to be solved by value-by-value test (college entrance examination is not required)

5. The application of linear programming;

There are still some questions in the college entrance examination.