How to connect senior high school in summer vacation after senior high school entrance examination.

because of my major, I only talk about mathematics. The connection between the current junior high school textbooks and senior high school textbooks is really not ideal, and the following aspects are necessary: 1. The formula of cubic sum and difference has been deleted in junior high school, but the operation in senior high school is still in use.

2. Factorization in junior high school is generally limited to the factorization of quadratic terms with a coefficient of "1", and there are few references to those with coefficients other than "1", and there is almost no requirement for factorization of cubic or higher polynomials, but many simplified evaluations of senior high school textbooks are needed, such as solving equations and inequalities.

3. There is no requirement for numerator and denominator to be rational in the quadratic root formula, but numerator and denominator are common problem-solving skills in high school functions and inequalities.

4. junior high school textbooks have low requirements for quadratic function, and students are at the level of understanding, but quadratic function is an important content throughout senior high school. Formula, sketch, evaluation domain, solving quadratic inequality, judging monotonous interval, finding maximum and minimum, and studying the maximum value of function on closed interval are the basic questions and common methods that high school mathematics must master.

5. The relationship between quadratic function, quadratic inequality and quadratic equation, and the relationship between roots and coefficients (vieta theorem) are not required in junior high school. Such topics are limited to simple routine operations and applied questions with little difficulty, but the mutual transformation of quadratic function, quadratic inequality and quadratic equation is regarded as an important content in senior high school, but no special teaching is arranged in senior high school textbooks.

6. The symmetry and translation transformation of images are only briefly introduced in junior high school, but after the function is taught in senior high school, the image is up and down; Translation left and right, the symmetry of two functions about origin, axis and straight line must be mastered.

7. Functions, equations and inequalities with parameters are not required in junior high school, but only studied quantitatively, while this part in senior high school is regarded as important and difficult. The comprehensive examination of equations, inequalities and functions often becomes a comprehensive question in the college entrance examination.

8. Many concepts (such as center of gravity, vertical center, etc.) and theorems (such as the proportion theorem of parallel lines, projective theorem, intersecting chord theorem, etc.) in geometry are mostly not studied by junior high school students, but are involved in senior high school.

In addition, the methods of image matching, method of substitution and undetermined coefficient are greatly weakened in junior high school teaching, which is not conducive to the teaching of senior high school knowledge.

Students with poor foundation can buy a connecting textbook that suits them (difficulty and content) first, and students with good foundation can directly look at the local high school textbooks and make up for what is missing. . .