Differences: the knowledge capacity and difficulty coefficient of high school mathematics are much greater than that of junior high school. Junior high school mathematics is mainly expressed in abstract and popular language, while senior high school mathematics touches on abstract concepts at once, such as set, logic, function and space geometry, which makes it very difficult for many students who don't hate solid math foundation or poor understanding ability to learn.
Contact: The content of high school mathematics is closely related to the content of junior high school. It can be said that in junior high school, if you understand the content related to quadratic function, it is equivalent to learning 40% of senior high school mathematics. Many concepts of high school mathematics are transformed from junior high school mathematics, and sometimes they just look at the problem from another angle.
Understand common basic questions:
1. To judge whether a formula is a function, we need to judge it according to the analytical formula of the function, and pay attention to the coefficient and number of x.
2. Finding the value or range of letter parameters according to the characteristics of the quantity of a linear function will be applied to the related knowledge points of equations and inequalities.
3. According to the values of k and b, judge the characteristics of the function image, such as the position of the passing quadrant and the intersection with the coordinate axis, as well as the trend of the function image.
4. Calculate and judge the values or ranges of k and b according to the trends and characteristics of function images, and analyze and judge according to the images by combining multiple function images.
5. According to the positive and negative k of the function, judge the increase of the function and compare the function values.
6. When a point is known on the function image, we often use the idea of equation to find the value of the letter parameter, or judge whether the point is on the function image.