Function and derivative (1): This section focuses on monotonicity and maximum of quadratic function, higher-order function, fractional function and composite function. Candidates should pay special attention to monotonicity and range solutions of fractional functions and composite functions. At the same time, candidates should attach importance to the combination of function and sequence, function and inequality, flexibly master the methods and skills to deal with such comprehensive problems, and grasp typical examples to cope with constant changes. (2) Plane vector and trigonometric function: This section takes vector as a tool to examine trigonometric function, focusing on three aspects: ① Simplification and evaluation of trigonometric function, examining simplification and evaluation, focusing on five groups of trigonometric formulas, including basic formula of the same angle, induced formula, bi-half formula, sum-difference formula and auxiliary angle formula; ② Images and properties: Here, we focus on the images and properties of sine and cosine functions. To master the properties of sine and cosine functions, we should master them from seven aspects: domain, range, monotonicity, parity, images, periodicity and symmetry, especially the properties of sine and cosine functions are the focus of the college entrance examination, so we should pay special attention to them. (3) Triangle identity deformation. This part focuses on the application of some basic formulas to remind candidates to strengthen their understanding and memory of basic formulas. (3) Series: This section focuses on the general term and summation of series. This paper focuses on several common methods to find the general term, including formula method and undetermined coefficient method. In summation, we mainly introduce several common summation methods, including formula method, split term addition, dislocation subtraction and so on. The emphasis here is to master what kind of series each method is suitable for. Generally speaking, passing the college entrance examination is the key and difficult point, especially to master the recursive formula between the items. For the summation of series, we should pay special attention to the restrictive conditions of common ratio in the summation formula of equal proportion series, which is an error-prone point in the college entrance examination, so we should pay special attention to it! (4) Space Vector and Solid Geometry: The new curriculum standard of 20 10 has lowered the requirements for this part. Especially for liberal arts students, the calculation of angle and distance is limited to geometric line angle and point-surface distance, surface area and volume. In the proof, the straight line is parallel to the plane, and the straight line is perpendicular to the plane. For science students, here I suggest that you should master the problem of proof and calculation in solid geometry by using space vectors. In particular, when solving with space vector, we must remember the calculation formulas of angle and distance accurately, then understand the meaning of each letter in the formula and find the conditions according to the formula. For this part of the candidates, in addition to mastering the traditional proof and calculation key points, we should also strengthen the training of flip and moving point problems in solid geometry, so as to calmly deal with the new questions and problems in the college entrance examination. (5) Probability statistics: In senior high school, three basic models, namely classical probability, geometric probability and random variable, are mainly studied. This part appears in the form of college entrance examination application questions. Here I want to emphasize that the question of probability in the college entrance examination is often not so difficult. Candidates only need to read the questions carefully, understand the meaning of the questions and distinguish the types. For the 20 10 college entrance examination, candidates should pay attention to the study of statistics, especially linear regression and statistical methods, and candidates should accurately understand the basic concepts and simply apply them. (6) Analytic geometry: In this section, I have summarized five models commonly used in college entrance examination: the first category: the positional relationship between straight lines and curves and the calculation of vectors. This kind of topic is the most common topic in the college entrance examination, and candidates should master its general methods. The second kind: fixed point problem (parameter elimination method), here we should pay attention to the range limit satisfied by fixed points. The third category: chord length problem (formula method), candidates only need to be able to use chord length formula; The fourth category: symmetry problem (replacement method), that is, finding the midpoint to replace; The fifth category: midpoint problem (point difference method). Analytic geometry is often the most computationally intensive topic in the whole test paper. Many students will learn to do but can't calculate. This situation is very common in the college entrance examination. This requires us to insist on calculation every time we do a problem from beginning to end, form good habits for a long time, and our calculation ability will naturally improve. These five types of model candidates should focus on mastering. Although the college entrance examination analysis is difficult, it is more than enough to deal with this big problem as long as you master the basic model skillfully. (7) Sequence, function and inequality: This section is often the finale, mainly focusing on the proof of inequality, which is often very difficult. Candidates should focus on accumulating some methods to prove inequalities, including scaling, mathematical induction and so on. Although it is difficult, I suggest that candidates take a step-by-step grading and leave no blank. For this part of the review, I suggest that it can be put in the later stage. After May, you can take a proper look at the final exam questions, broaden your thinking, and don't make key requirements for most candidates.