Difficulties in this chapter: understand the solution set of inequality and the solution set of inequality group, and use it correctly.

Basic properties of inequality 3.

The focus of this chapter: thoroughly understand the difference between inequality and equality.

The concept of (1) inequality: use unequal symbols ("≦";

(2) The basic nature of inequality, which is the theoretical basis for solving inequality.

(3) The solution set of discriminant inequality and solution inequality are two completely different concepts.

(4) The solution of general inequality has infinite values, which are expressed by the number axis. (5) The concept and solution of one-dimensional linear inequality is the focus and core of this chapter.

(6) The solution set of one-dimensional linear inequality is the solution set of one-dimensional linear inequality on the exponential axis.

(7) A group of one-dimensional linear inequalities consisting of two one-dimensional linear inequalities. A group of one-dimensional linear inequalities can be composed of several (unknown) one-dimensional linear inequalities.

(8) Determine the solution set of the unary linear inequality group with the number axis.

Chapter VI:

1. Binary linear equations, binary linear equations and their solutions, making clear that the solution of binary linear equations is a pair of unknowns will test whether a pair of values is the solution of a binary linear equations.

2. Two basic solutions of linear equations can flexibly use method of substitution, addition and subtraction to solve binary linear equations and simple ternary linear equations.

3. According to the given application problem, the corresponding binary linear equations or ternary linear equations are listed, thus the solution of the problem is obtained, and the rationality of the result is tested according to the practical significance of the problem.

This chapter focuses on the solution of binary linear equations-substitution, addition and subtraction and simple application of solving linear equations.

The difficulties in this chapter are:

1. will solve binary linear equations and simple ternary linear equations with appropriate elimination methods;

2. Correctly find out the equation relationship in the application problem and list the linear equations.

Chapter VII

The emphasis of this chapter is: the multiplication and division of algebraic expressions, especially the operation of powers and the application of multiplication formulas should be mastered.

The difficulties in this chapter are: the structural characteristics of multiplication formula, the understanding of the meaning of letters in the formula and the flexible use of multiplication formula.

Operational properties of 1 Power, correctly express these properties, and skillfully use them for related calculations.

2. The laws of monomial multiplication (or division), polynomial multiplication (or division) and polynomial multiplication, and skillfully use them for calculation.

3. The derivation process of multiplication formula can be calculated flexibly.

4. Skillfully use algorithms and algorithms to perform operations.

5. Understand the meaning of numbers and formulas expressed by letters. Through the deformation of the formula, we can deeply understand the thinking method of transformation.

Chapter 8:

1. Several ways to understand things: observation and experimental induction and analogy, conjecture and proof of reasoning in life.

2. Definitions, propositions, axioms and theorems

3. Reasoning in simple geometric figures

4. Complementary angle, supplementary angle and turning angle

5. Determination of parallel lines

Judgment: one axiom, two theorems.

Axiom: Two straight lines are cut by a third straight line. If the same angle is equal (quantitative relationship), two straight lines are parallel (positional relationship).

Theorem: Internal dislocation angles are equal (quantitative relationship) and two straight lines are parallel (positional relationship).

Theorem: Two straight lines are parallel to each other (positional relationship).

Properties of parallel lines:

Two straight lines are parallel and have the same angle.

Two straight lines are parallel and have equal internal angles.

These two lines are parallel and complementary.

Determine the "quantity relationship" from the "position relationship" of the graph.

Chapter 9:

Key points: factorization method,

Difficulties: Analyze the characteristics of polynomials and choose the appropriate decomposition method.

1. The concept of factorization;

2. Factorial decomposition method: common factor extraction method, formula method and grouping decomposition method (cross multiplication).

3. Solve some practical problems with factorization (including graphic exercises)

Chapter 10:

The key point is to use statistical knowledge to solve practical problems in real life.

The difficulty is: solving practical problems with statistical knowledge.

1. Basic knowledge of statistics, calculation of average, median and mode, etc.

2. Understand the data collection and collation, and draw three statistical charts.

3. Applying statistical knowledge to solve practical problems can solve comprehensive problems related to statistics.

I don't know if I am in sync with you.