In the second round of review, the teacher must be clear about the key points and know everything about "what to test" and "how to test" in the college entrance examination. Only in this way can they speak thoroughly and practice well. The main points of each chapter are listed below for your reference.

1. Functions and Inequalities (Topic). Algebra is dominated by functions, and the combination of inequalities and functions is a "hot spot".

The properties of (1) function, such as monotonicity, parity, periodicity (usually based on trigonometric function), symmetry, inverse function, etc., can be tested everywhere. Specific functions are often intuitively developed in combination with the geometry of images, and sometimes they are appropriately abstracted.

(2) The univariate quadratic function is the most important. Training on its nature and application should be in-depth and extensive. The research on the function value domain (maximum) should focus on the quadratic function or the value domain transformed into quadratic function, especially the quadratic function value domain with parametric variables. Methods The formula method, substitution method and basic inequality method were mainly introduced. The distribution and discussion of the roots of the unary quadratic equation, the discussion of the solution of the unary quadratic inequality and the intersection of the quadratic curve are closely related to the unary quadratic function, which should occupy a large proportion in training.

(3) Proof of inequality. The inequality related to function proves that combining sequence is the key point. Methods The comparative method and the formula method using basic inequalities were emphasized. Zooming method is not the key point of college entrance examination, but it will be used more or less in exam questions over the years, so it is necessary to master several simple zooming skills.

(4) In solving inequalities, flexible transformation and classified discussion are emphasized in order to master the unary quadratic inequality and the comprehensive problems that can be transformed into unary quadratic inequality.

2. Sequence (body). Taking two basic series of arithmetic and equal proportion as carriers, this paper investigates the general term, sum and limit of the series. Regarding the abstract sequence (given recursively), the boundary should be clear, and only the limit can become arithmetic and equal proportion.

3. Triangle training should master the skillful use of basic formulas, focusing on positive, negative and variant use. In recent years, it has shown a cooling trend. The types, methods and difficulty of training can reach the level of teaching materials.

4. Solid geometry (subject). Emphasize "space" and "stereo". That is, to investigate the positional relationship among line segments, line surfaces and surfaces in a geometric scene. Geometry focuses on prisms and pyramids. Prism focuses on triangular prism and cube; The pyramid focuses on one side edge or the side perpendicular to the bottom, and the combination of prism and pyramid should also be paid attention to. The positional relationship focuses on judging or proving verticality, highlighting the flexible application of the three vertical theorems and inverse theorems. Spatial angle focuses on dihedral angle, which strengthens the angle determination method of the three perpendicular theorem. Spatial distance focuses on the distance between points and surfaces, and the combination of the two is particularly important. Equal product transformation and equidistant transformation are the most commonly used methods. Area and volume calculation, problem solving.