Senior two is a year to widen the learning gap in senior high schools. First of all, the content of senior two studies accounts for more than half of the scores in the college entrance examination; Secondly, the knowledge comparison foundation of Grade One in senior high school belongs to the easy questions in the college entrance examination, such as space geometry, straight line and circle, trigonometric function, which can not well widen the gap between students; Either it is difficult to examine, for example, the comprehensive application of functions to these contents often appears as the finale of the college entrance examination, and the degree of discrimination is not great. Mid-range problems in college entrance examination, derivatives, probability statistics, discrete random variables, analytic geometry, are taught in grade two. Therefore, the gap between students is reflected in the mastery of the content of senior two!

Second, planning the review of winter vacation.

For science students, the focus of winter vacation review is to choose 2- 1, which mainly includes two parts: conic curve and space vector. These two parts are the places where the college entrance examination must test big questions, and they are also the core of winter vacation review.

1, conic section review

Conic curve is a recognized difficulty in high school mathematics learning, so where is the difficulty? There are mainly two abilities: "conditional transformation ability" and "calculation ability". In order to improve the "conditional transformation ability", the first step is to sort out the problems I have done in the past, especially the mistakes, and sort out the common algebraic expressions of the core conditions in the problems. For example, for the "vertical" condition, several typical transformation methods are as follows: 1) The slope product is-1; 2) vector quantity product is 0; 3) Pythagorean theorem; 4) The area of triangle, etc. The second step is to sort out the most important problems in each method. For example, when using a slope, it is necessary to judge whether the slope exists. The third step is to further refine which method is more commonly used and under what circumstances.

For students, "computing ability" is an indispensable ability to learn analytic geometry well, and it is often the weakest link for students. If you want to improve your computing ability, you must be diligent, that is, diligent in computing. Analysis of geometric problems, not only to calculate, but also to calculate to the end, until the final answer is worked out. In down-to-earth calculation, students should first gradually reduce low-level calculation errors; Secondly, we should sum up the calculation skills, and summarize the selection principles such as when it is often unreasonable, using the root formula of Vieta's theorem and substituting for elimination. These are all things that can't be improved just by "looking at" the topic. You have to count them to accumulate experience.

2. Overview of space vectors

The examination of solid geometry in college entrance examination has increasingly emphasized the role of space vector, and the difficulty of space vector is mainly to choose to establish space coordinate system and find the normal vector of plane. If these two parts are proficient, other links will not be difficult to deal with.