2. Policies and countermeasures to solve the difficulties and poor learning in mathematics.
Many students have a poor learning foundation, especially math. So, how to do a good job in reviewing senior three? The guiding ideology is that the review method, review steps, review content and review progress are as perfect and harmonious as possible with the students' reality. The specific way is to grasp the foundation, emphasize the ability and teach the law. (1) Grasp the foundation. In recent years, the coverage of basic questions in college entrance examination accounts for more than 70%, and the proportion of easy, medium and difficult questions is generally 5: 3: 2 (3:5:2 in some provinces and cities). Therefore, when reviewing, we should sort out the knowledge of each chapter, so that students can have a deeper understanding of the foundation. For example, when reviewing the parity of functions, we should focus on the following points: ① Grasp the essence, describe it with short language and mathematical symbols, and sort out the basic concepts. ②f(-x)=f(x)←→ even function; F (-x) =-f (x) → odd function. Note: Ix, -x must satisfy the domain and the domain of f(x) is symmetric about the origin. Ii f (x) is an even function ←→ and its image is symmetric about y axis; F(x) is odd function ←→ whose image is symmetrical about the origin. Ⅲ has parity function, such as f(x)=0. (3) Starting with the definition and properties, the basic methods to prove that function f(x) is an odd (even) function are summarized. First, we need to verify that its domain is symmetrical about the origin, and then prove that f(-x)=-f(x) (or f(-x)=f(x)). ④ Excavate relevant knowledge points and strengthen the connection of basic concepts. Using the symmetry of odd-even function, we can draw a graph. Ⅱ odd function has the same monotonicity on R+ and r-, while even function is just the opposite. ⑤ Write basic training questions around basic concepts, basic methods and basic connections. The problem can be organized in the following aspects: ⅰ. Check whether the students have mastered the definition of parity. Consciously and purposefully choose error-prone exercises. ⅲ. Examine the comprehensive ability of students to combine monotonicity with parity. Ⅳ Test students' ability to solve practical problems by using strange phenomena. (2) focus on ability. "Laying stress on foundation, making active questions and testing ability" has become the orientation of the current college entrance examination proposition. Under the background of the new curriculum standard, the "Examination Instructions" particularly emphasizes the application of students' ability. Therefore, how to improve students' mathematical ability in the general review stage should be the "highlight" in the review. In order to achieve better review effect, the following abilities should be cultivated in the teaching review of senior three: ① the ability of transformation; (2) the ability to combine numbers with shapes; ③ The ability of classified discussion; ④ Analyze the problem-solving ability with the idea of function and equation; ⑤ Ability to apply mathematical knowledge to solve practical problems; ⑥ Accurate and fast operation ability; ⑦ Logical thinking ability and spatial imagination ability. (3) teaching law. There are no "strange questions" in the college entrance examination, and the focus is on general methods. Therefore, in the review process, we must follow the teaching rules, study the syllabus and instructions carefully, and attach importance to the teaching of general methods. That is to say, in the process of learning and doing problems in mathematics courses, we should always take mathematical thoughts as the leading factor and seek the internal relationship between mathematical formulas. ① Analysis and selection of general methods from the numerous solutions of topics, focusing on teaching, cultivating students' general ideas and methods of solving problems, so that students can truly understand its essence and master it skillfully, otherwise blindly pursuing ingenious solutions in an attempt to win will inevitably affect the large-scale improvement of college entrance examination scores. (2) Seriously implementing the "two basics" and paying close attention to the teaching of basic knowledge are the most important things for students with learning difficulties to review the college entrance examination, which can not only exercise their solid basic skills, but also help improve their thinking quality.