Comments on mathematics test questions
Math: The difficulty is the same as last year.
Some places are innovative and closer to the teaching materials.
On the afternoon of June 7, the college entrance examination for mathematics subjects ended. Li, a middle school teacher attached to Northwest Normal University, believes that the difficulty of liberal arts mathematics papers is basically the same as last year, which is conducive to talent selection. Li Hu, a teacher in the middle school attached to Lanzhou University, believes that compared with last year, the examination papers of mathematics and science have remained basically stable, and some places have made innovations, which are closer to the teaching materials.
Mathematics (liberal arts)
The structure and examination content are relatively stable, mainly examining the main knowledge.
Li, a middle school affiliated to Northwest Normal University
20 15 national unified examination paper 2 (liberal arts), the new mathematics curriculum standard for college entrance examination, is relatively stable in structure and examination content, focusing on the main knowledge. Based on the curriculum standards and examination syllabus, this paper is close to the teaching practice in middle schools, closely follows the teaching materials, pays attention to the foundation, and pays attention to examining mathematical thinking methods such as the combination of numbers and shapes, functional equations, changing ideas, and classified discussion ideas. It embodies the basic, applied and instrumental characteristics of mathematics. The examination paper examines the examinee's mathematical thinking quality, mathematical literacy and learning potential from multiple perspectives, dimensions and levels.
The content of the exam covers high school mathematics modules such as function, sequence, inequality, solid geometry, analytic geometry and probability statistics. For the main knowledge points that support the subject knowledge system, such as the nature of functions, the application of derivatives, space geometry, conic curves, probability statistics, etc., a high proportion is maintained, and other non-main knowledge points are also moderately concerned, with emphasis on knowledge points such as algorithms and three views. Throughout the whole volume, this year's math test questions and multiple-choice questions are concise and stable, with good discrimination, moderate difficulty in filling in the blanks and clear answers. The whole set of questions are connected in an orderly way, which is conducive to choice.
Mathematics (science)
Highlight the reform of mathematics curriculum to better reflect the characteristics of the new curriculum.
Li Hu, Middle School Affiliated to Lanzhou University
This year's college entrance examination is the third year of college entrance examination under the new curriculum standard in Gansu Province. Compared with the previous two years' college entrance examination questions, this year's whole set of papers highlights the reform of mathematics curriculum and embodies the characteristics of the new curriculum. The test questions strictly follow the proposition principle of attaching importance to commonness and ignoring special skills, and closely follow the syllabus, which has played a positive role in promoting the reform of the new mathematics curriculum.
1. Generally speaking, high-frequency test sites still occupy a high proportion in the test paper. For example, the relationship and operation of sets, the concept and operation of complex numbers, the general formula, properties and summation formula of arithmetic geometric series, piecewise functions and functionals. Image, oblique triangle, probability statistics, three views, program and block diagram, geometric meaning and application of derivative, linear programming problem, definition of conic curve, surface area and volume of sphere, plane vector, equation of straight line and circle, binomial theorem, trigonometric function. This part of the knowledge should be practiced repeatedly, and most students can get it.
2. Compared with last year, the test questions are basically stable, and there are innovations in some places, which are closer to the teaching materials. The problem 17, which is the first solution, is to solve the problem of oblique triangles. I took the triangle exam this year, which is completely in line with the law of mathematical proposition in the new curriculum standard, and it should be said that it is expected. Compared with last year's series of problems, it should be easier for students to get started, but if they don't know the property theorem of the bisector of the triangle, it will be more troublesome for students to solve the first problem. This attribute has been tried and tested in recent years, and it is reasonable to reproduce it this year. For 18 probability statistics, keeping the style of last year's proposition, investigating probability with statistics as the background and investigating probability questions with statistics as the background are the characteristics of the new curriculum proposition probability questions in recent years, and are also the necessary data processing ability types to implement the seven abilities of mathematics in college entrance examination. The problem of solid geometry is to study the relationship between line and surface qualitatively and quantitatively with a cuboid as the carrier. The first question has changed compared with the past, but the essence of the examination is the same. The second question is still the angle of line and surface that is often tested.
3. The test questions have a good grasp of the degree of discrimination. Last year, the finale was adjusted from one question to two questions. Last year's analytic geometry problems were routine, and students with solid mathematical foundation had no problem, but this year's first problem increased the amount of calculation. Compared with last year, the derivative of the last question is much simpler. This year's problem is a very regular problem, and it should be a problem of repeated training. The first question is monotonous, and the second question is the most valuable. Students with good mathematical thinking can get full marks.