The common questions in college entrance examination mathematics are trigonometric function or sequence, probability, solid geometry, analytic geometry (conic curve), function and derivative. If you want to get high marks in mathematics, the foundation is the most important, which is also the core reason why many students have been doing poorly in mathematics. Keep in mind the basic formulas and theorems, and follow the textbook catalogue, you can skillfully recall all the knowledge points in the textbook and really lay a good foundation.

The easier it is, the more careful it is, because such questions are likely to have traps.

Be careful about questions with strange answers, because there is a good chance of miscalculation.

If there are any missing answers, ask yourself more questions about numbers. If there is an answer of 2, consider whether -2 is also the answer.

The last fill-in-the-blank question is likely to be a difficult problem. If it can't be solved immediately, then put it aside and make the following answer. After all, this problem is difficult and the score is limited, so don't continue to fight.

The answer routine of common problems in mathematics is always established or its inverse can be transformed into a maximum problem. Pay attention to the application of quadratic function, flexibly use the maximum value on the closed interval, and the idea of classification discussion is not repeated or omitted.

First, define the topic of conic curve and make the intersection of straight line and circular curve. If it is related to the chord midpoint, we should choose the method of setting instead of finding the point difference; if it is not related to the chord midpoint, we should choose the method of Vieta theorem formula. When using Vieta theorem, we should first consider whether it is the discriminant of quadratic sum root.

To solve the curve equation, if you know the shape of the curve, you can choose the undetermined coefficient method. If you don't know the shape of the curve, the steps used are to build the system, set points, formulate and simplify (pay attention to remove the special points that do not meet the conditions).

Find the eccentricity of ellipse or hyperbola, and establish the relationship equation between A, B and C. ..

Trigonometric function is to find the period, monotonous interval or maximum value, which is converted into chord function with the same angle first, and then solved by auxiliary angle formula. To solve the triangle problem, pay attention to the use of internal angle sum theorem; For vector-related topics, pay attention to the range of vector angles.