## (1) Students in the third grade

1. Real numbers：the basic concept and operation of real numbers,
2. Algebra and equations：a. algebraic, integral and solid decomposition, quadratic root operation; b. solution of equations (groups): one-time equation (group), the relationship between root and coefficient of a binary quadratic equation, fractional equation and unreasonable equation, high equation and binary equation, column equation (group) solution;
3. Inequality (group)：the solution and application of one-dollar inequality (group);
4. Functions and images：positive scale function and inverse scale function, one function and the image and nature of secondary function;
5. Statistical preliminary：average, median, variance and standard deviation, frequency and frequency distribution histogram;
6. Straight lines and triangles：corners, intersecting lines, parallel lines, basic properties of triangles, all-class/iso-waist/right triangles;
7. Quads：the concept and nature of polygons, the determination and nature of parallel olaters, the special parallel olaters and trapezoids;
8. Similarity：proportional segments, the nature and judgment of similar triangles;
9. Sharp triangle ratio：sharp triangle ratio, de-right triangle and its application;
10. Circle： The basic nature of a circle, the positional relationship between a straight line and a circle, the position almost the position of a circle, a positive polygon and its character.

## (2) High school students

1. Collections and Propositions：The Concept, Subset, Intersection, and Collection, Complementary, The Form and Equivalent Relationship of Propositions, Full Conditions and Necessary Conditions;
2. Inequality：the basic nature of inequality, the solution of the one-yuan binary secondary inequality, the solution of other inequality, the basic inequality and its application, the proof of inequality;
3. The basic properties of functions：the concept of functions, the establishment of function relationships, function operations and the basic properties of functions;
4. Secondary functions, power functions, exponential functions and logarithm functions：the image and properties of the quadrupal function are applied, the properties and images of the power function, the image and nature of the exponential function, the concept of logarithm and its operations, the inverse function, the logarithm function, the exponential equation and the logarithm equation;
5. Triangle ratio：arbitrary angle and its measurement, triangle ratio of arbitrary angle, the relationship of the diagonal triangle ratio and induction formula, two corners and poor sine, cosine and phenomenale, sine and sesame, cosine and sesame, sine theorem, concludorandem and slant triangle;
6. Triangle function：the image and properties of sine function and cosine function, the image and nature of tangent function, the image and nature of the function y-Asin (ax-b), the anti-triangulation function, the simplest triangular equation.
7. Preliminary vector：the operation of the vector, the coordinates and quantity of the vector, the spatial vector;