Chapter 1: Assembly

1. 1 set and its representation

The concept set of 1. 1.65438

Pay attention to the certainty, mutual difference and disorder of sets and the symbolic representation of commonly used sets.

Representation of 1. 1.2 set

Enumeration, description and graphic method

Relations and operations between 1.2 sets

The relationship between 1.2. 1 sets

Note that an empty set is a subset of any set, and an empty set is a proper subset of any non-empty set.

Operation of 1.2.2 setting

Pay attention to the application of reverse order law in the operation of intersection, union and complement of sets

Chapter 2: Function+Chapter 3: Basic Elementary Function (1)

Mainly define functions (mapping: one-to-one or many-to-one)

The research function mainly starts from the angles of definition domain, value domain, monotonicity, parity, symmetry and periodicity.

Function FAQ:

1. Find the analytical formula.

2. Evaluation domain (There are many methods, such as: observation method (finding f(x) from the value domain of independent variable x), separation constant method, collocation method (finding the maximum value with quadratic function, discriminant method, image method, substitution method (equivalent substitution) to solve the root function, inverse solution, monotonicity method, inequality method, combination of numbers and shapes, etc. ).

3. Prove monotonicity (by definition)

Exponential function and logarithmic function master their definitions and image properties.

When comparing the sizes of power functions, we can compare them with difference, quotient and median.

The interval root problem of quadratic function grasps five elements: the function value of the crossing point, the opening direction, the function value of the end point of the interval, the symmetry axis and the discriminant △

Compulsory Two

Chapter 1: Preliminary study of solid geometry.

Volume, surface area, three-view and oblique double-sided diagram of space geometry

Several theorems and their inferences on grasping the positional relationship between points, lines and surfaces.

Chapter 2: Preliminary analysis of plane analytic geometry.

Make clear the basic formula on the number axis and the basic formula in the plane rectangular coordinate system (the distance formula between two points)

Basic problems: dotted line (the distance between dotted lines), straight line (the distance between intersecting straight lines and parallel lines), line circle (the distance from center to straight line) and circle (the distance between centers).

The space rectangular coordinate system and the formula of the distance between two points in space (as long as the basic principle is clarified)