The number and types of mathematics questions in the 20 10 college entrance examination are basically the same as those in 2009, but compared with 2009, there are more ability questions and intention questions, which requires a large amount of calculation. As far as the whole paper is concerned, the emphasis is on the synthesis of function and derivative, series and inequality, probability statistics, straight line and conic curve.

Feature 2: There are many moderately difficult questions.

Multiple choice questions are more difficult than in previous years. The first seven questions belong to the basic questions, which are relatively easy to score, but from the eighth question, the difficulty increases. Question 8 focuses on the images and properties of exponential function and logarithmic function and students' estimation ability; Question 9 examines the first definition of hyperbola (in which it is relatively simple to use important conclusions); 10 examines the images and properties of functions, focusing on the application of the idea of combining numbers with shapes, including the application of important inequalities or linear programming; Question 1 1 focuses on the comprehensive application of plane vectors and analytic geometry, and the use of important inequalities to find the maximum value of functions; 12 belongs to the type of solid geometry, and examines the methods of spatial imagination and volume segmentation.

Fill-in-the-blank questions 13 to 15 belong to the basic questions, and 16 belongs to the variation of the college entrance examination questions in 2009, focusing on the second definition of conic curve.

The answer question 17 is still a trigonometric function question, but it has some new ideas compared with previous years. The emphasis is on the identical deformation of sine theorem and trigonometric formula, which is different from previous years. 18 questions, probability and statistics, conventional thinking, focusing on the probability of independent repeated events, less difficult; 19 the problem of solid geometry, the traditional method is parallel to the vector method (compared with the vector method, it is easier to start), and there is little change compared with previous years. The test questions focus on the relationship between space and plane, the relationship between lines and the solution of dihedral angle, and the difficulty is moderate; The derivative problem of question 20 is easy for students to get into, but difficult to get into, and it is difficult to get a high score. This topic focuses on the monotonicity, extreme value, maximum value and inequality proof of functions; Question 2 1 Analytic geometry problem focuses on the conventional thinking of setting but not seeking, but because of the large amount of calculation, it is easy for students to feel afraid of difficulties; Question 22, the sequence problem, examines the simple recursive relation to find the general term and the inequality proof. The first question is relatively easy, and most students should be able to complete it smoothly. The second question is more difficult and flexible, which can effectively distinguish students with different ability levels.

Feature 3: Highlight the examination of mathematical thinking methods.

Strengthen the idea of examining functions and equations, classification and integration, reduction and reduction, special and general. The examination of mathematical thinking method runs through almost the whole test paper, such as: question 10, question1,question 12, question 16, question 2 1, question 22, etc.

Feature 4: Pay attention to the examination of ability

The examination of students' ability is mainly reflected in their computing ability, spatial imagination ability, problem-solving ability and innovation ability. The test questions are designed from different thinking levels to distinguish candidates with different thinking levels. The last question examines students' comprehensive thinking ability and learning potential, provides opportunities for high-level students to demonstrate their mathematical ability, and embodies the selection function of the college entrance examination.

Feature 5: reflect convention, moderate innovation and highlight subject ability.

20 10 national mathematics examination paper pays full attention to the examination of candidates' innovative consciousness and creative thinking ability. It not only examines the understanding of some theorems, formulas and rules, but also examines the ability of students to use these knowledge and rules flexibly to analyze and solve mathematical comprehensive problems.

Judging from the whole test paper, the structure of mathematics test questions in 20 10 national college entrance examination is from easy to difficult, and the gradient is good, which is more conducive to the development of various candidates. At the same time, the test questions follow the principles of scientificity, fairness and standardization, and reflect the spirit of the times.