1, focusing on logical reasoning literacy

For example, the seventh question in the first volume of the new curriculum standard, taking arithmetic progression as the material, investigates the derivation of the necessary and sufficient conditions, requires candidates to judge the adequacy and necessity, and then proves them separately. The key to solve the problem is to use arithmetic progression's concept and characteristics to make reasoning and demonstration.

Another example is the question 1 1 in the second volume of the new curriculum standard, the essence of which is to judge the relationship between the coefficients of the equation according to the properties of the roots of the quadratic equation with one variable. The function in the problem has the property of both maximum and minimum after derivation, which can be transformed into two positive roots of a quadratic equation with one variable. For another example, the second volume of science question 2 1 requires candidates to conduct classified reasoning discussion according to the nature of parameters, and to examine the order and rigor of candidates' thinking.

2, in-depth examination of intuitive imagination literacy

For example, Volume A National Science 15 requires that the common points of a sphere and a cube edge be determined through imagination and simple calculation. For example, the second volume of science 19, based on geometry, examines the relationship between straight lines and planes in space. Another example is the ninth question in the second volume of the new curriculum standard, which examines the content of the cone in the form of multiple-choice questions. The four options are asked step by step, and the former option provides conditions for the latter option. Each option examines the different properties of the cone, which are interrelated and focused.

3, a solid examination of mathematics literacy.

The test questions require candidates to understand the object of operation, master the operation rules, explore the operation ideas, and obtain the operation results. For example, the sine theorem, the basic relationship of trigonometric function with the same angle, the solution of triangle and other mathematical contents in the first volume of the new curriculum standard 17. Used to examine mathematical operation literacy. Another example is 10 in the second volume of the new curriculum standard, which sets the situation that a straight line intersects with a parabola, and examines the calculation ability through the simultaneous expression of the straight line equation and the parabola equation.

Skills of learning mathematics

1. To learn mathematics well, we must grasp three "basics": the basic concepts should be clear, the basic laws should be familiar, and the basic methods should be skilled.

After you finish the topic, you must sum it up carefully, so that you won't spend too much time and energy when you encounter similar problems in the future.

3. Have a comprehensive understanding of mathematical concepts, and don't generalize by partiality.

4. The ultimate goal of learning concepts is to solve specific problems with concepts. Therefore, we should actively use the mathematical concepts we have learned to analyze and solve related mathematical problems.

5. To master the problem-solving methods of various types of questions, consciously sum them up in practice, and slowly cultivate the analytical habits that suit you.

6. Actively improve the ability to comprehensively analyze problems, and analyze and understand with the help of text reading.

7. In learning, we should consciously pay attention to the transfer of knowledge and cultivate the ability to solve problems.

8. We can integrate the knowledge we have learned into a system by analogy.

9. Linking the contents of each chapter, comparing different chapters and truly integrating the knowledge before and after can help us to understand the knowledge system and content systematically and deeply.

10. In mathematics learning, we can find out their similarities and differences and connections by comparing similar concepts or laws with formulas, thus deepening our understanding and memory. Clear the relationship between mathematical knowledge, thoroughly understand the concept, know its derivation process, so that knowledge is organized and systematic.