1 characteristics of textbook exercise compilation 1. 1 adopts a spiral writing system, which conforms to students' cognitive rules. The exercises in the old textbooks are generally closely related to the knowledge content of each section, but after a round of teaching, a lot of knowledge becomes unfamiliar. The concept of new curriculum standard emphasizes that knowledge is a spiral rising process. After-class exercises will string together the knowledge that has been learned and will be learned, and make a good connection between the knowledge itself. This is beneficial to students' overall cognition. For example, the second question on page 120 (hereinafter referred to as T2): Proof: any A, B, C, d∈R, constant inequality (ac+bd)2≤(a2+b2)(c2+d2). This problem can be proved by constructing vectors. The conclusion of this problem is high. This formula is derived by constructing a right triangle in compulsory 2, but the process is complicated. If the vector derivation is simple, this design will further reflect the relationship between mathematical knowledge. 1.2 has a stronger taste of inquiry and stimulates students' curiosity. In the old textbooks, after-school exercises are mainly closed topics, and less "inquiry" issues are involved.
Hehe, this is not my opinion. It is an article in the third issue of middle school mathematics teaching in 2007, "Analysis and Suggestions on the Characteristics of Exercise 4 (Version A) in Compulsory High School". Hope useful to you