The national new college entrance examination 1 volume mathematics examination questions.
Analysis of the answers to the new college entrance examination 1 math test paper.
Summary of the main knowledge points of mathematics review in college entrance examination;
Because the basic knowledge is integrated into the main content, it is an important support of the whole subject knowledge system, and of course it is the top priority of the college entrance examination. The main contents include: function, inequality, triangle, sequence, analytic geometry, vector and so on. Now it is elaborated in blocks as follows:
1. function
Function is a main thread running through middle school mathematics. In recent years, the investigation of functions has been comprehensive and in-depth, maintaining a high proportion of content and reaching a certain depth. The general trend of the distribution of questions is four small questions and one big question. The number of questions changes smoothly, but the score is basically around 35 points. Multiple-choice questions cover most of the contents of functions, such as three elements of functions, four characteristics of functions (parity, monotonicity, periodicity and symmetry), function images, common elementary functions and inverse functions. The small topic highlights the basic knowledge, while the big topic focuses on the thinking method and comprehensive application of functions.
2. Trigonometric function
The triangle part is the traditional content and the important basic knowledge of high school mathematics, so it has a basic position and is also an important tool to solve mathematics itself and other disciplines, so it is instrumental. The college entrance examination is mostly in the form of middle and low-grade questions, at least one is big and one is small, and the score is about 16. Among them, the deformation and evaluation of trigonometric identities, the images and properties of trigonometric functions, and the solution of trigonometric functions are the backbone knowledge supporting the knowledge system of trigonometric functions, which is undoubtedly the focus of the college entrance examination proposition.
3. Solid geometry
Three-dimensional geometry test questions bearing the ability of spatial imagination, logical reasoning and calculation have been defined as middle and low-grade questions in the college entrance examination over the years, and most of them are an answer and a multiple-choice question. The solution is generally related to prisms and pyramids, and the relationship between straight lines and planes is mainly investigated. Generally, there are more than two solutions, both of which can be solved by space vector method.
4. Sequence and limit
Sequence and limit is one of the important contents of high school mathematics, and it is also the basis for further study of high school mathematics. College entrance examination accounts for 15% every year. The college entrance examination appears in the form of two questions, one big and one small. Small questions mainly examine the degree of mastery of basic knowledge, and the answer is generally the finale with medium or above difficulty. Because this part of knowledge is at the intersection, such as functions, inequalities, vectors, solutions and so on. Closely related to it, the big topic has strong comprehensiveness, flexibility and profundity of thinking.
5. Analytic geometry
The equations of straight lines and circles, the definition of conic curves, standard equations and geometric properties are the basis of supporting analytic geometry, and they are also the focus of the college entrance examination proposition. The following three small problems and one big problem account for about 30 points. The objective questions mainly investigate the basic knowledge such as straight line equation, slope, positional relationship between two straight lines, included angle formula, distance from point to straight line, standard equation of conic curve and geometric properties. Solve the difficult comprehensive finale problem. Analytic geometry combines algebra, trigonometric geometry and other knowledge, and is an excellent material to examine students' comprehensive ability.
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