In order to help senior three students review better, the following are the math problems I have compiled for the senior high school entrance examination, hoping to help everyone.

Analysis of the characteristics of mathematics test questions in senior high school entrance examination over the years: an examination of accurately grasping mathematics knowledge and skills.

From the perspective of knowledge, there is not much fluctuation in the direction of proposition; From the content point of view, the examination of these junior high school mathematics knowledge points is not in the memory of concepts and properties, but in the understanding and application of concepts and properties, and the fun of mathematics can be realized through real life.

Pay attention to the understanding and application of students' mathematical thoughts.

Mathematical ability is the basis of learning junior high school mathematics well, which is mainly manifested in mathematical thinking methods. Among them, the idea of combining numbers and shapes, the idea of equations and functions, and the idea of classified discussion are almost the focus of the senior high school entrance examination papers over the years, which must be paid enough attention to.

Attach importance to the examination of the process of mathematical activities

In recent years, mathematics in senior high school entrance examination not only pays attention to the evaluation of students' academic performance, but also pays attention to the evaluation of their mathematical activities; Pay attention not only to the examination of mathematical thinking method, but also to its evaluation in the development of general thinking method and innovative thinking ability, especially to the examination of students' exploratory thinking ability and innovative thinking ability; Pay attention not only to imparting knowledge, but also to developing and improving students' mathematical thinking potential.

Simplification and evaluation of analytical scores of general mathematics test questions in senior high school entrance examination

There are no more than three fractions in the operation of fractions, so most of the mid-term exam questions are mainly based on three or two fractions, which examine the general fractions of fractions, factorization of algebraic expressions, fractions of fractions and so on. The usual problem-solving procedure is: factorize the factorial which can be decomposed by both numerator and denominator, and combine the fractions in parentheses at the same time; Then the division is converted into multiplication operation, and finally the score can be accurately reduced.

real arithmetic

The number of addition and subtraction operations of mixed real numbers does not exceed four times, so the number of addition and subtraction signs in the middle school exam questions is mainly three or four. The investigation contents include the simplification of roots, the operation of absolute values, the operation of exponential powers of integers, and the values of special trigonometric functions.

The usual problem-solving procedure is to divide the mixed operation into four or five small operations according to addition and subtraction. The first step is to find the result of each small operation, and then remove the brackets to add and subtract real numbers to get the result directly.

Basic application of function or basic skill problem

Function is the core knowledge of middle school mathematics, and it is also one of the key points of mathematics proposition in senior high school entrance examination. In the past two years, the idea and method of using function knowledge to solve simple practical problems and investigating the combination of numbers and shapes through function operation have been added to solving problems.

The general process of solving problems: set the expression of the function, find one or two corresponding values that satisfy the function, or find the coordinates of one or two points on the function image and substitute them into the expression to solve; Then judge the range of independent variables according to the function image and actual meaning or calculate related problems according to the function expression; Set the coordinates of the moving point, combined with the formula of graphic area, and list the equations (groups) according to the quantitative relationship in the problem to solve.