This is this year's quadratic function question.
Before 2019, the comprehensive question on quadratic function has always been at the end of the 23 questions. The content examined in
is generally not closely related to the image properties of the quadratic function itself. The quadratic function seems to be just an introduction, and more. Integration with geometric knowledge, such as using plumb line to find the area of geometric figures; such as using the principle of a shepherd boy drinking a horse to find the maximum value of the perimeter of a figure; such as isosceles triangle, right triangle and even parallelogram or rhombus The existence of The category of quietness.
In the 2020 High School Entrance Examination Mathematics, quadratic functions were placed in question 21 for the first time in recent years. The difficulty of
questions has been reduced a lot. I started to return to examine the image properties of the quadratic function itself. The image of the quadratic function itself does not move. It is very common to examine a point moving on the image.
And in 2021, the question came out like this. This time it is placed at the end of the 22nd question.
You observe, this time the image has not moved yet. This time I selected a line segment to move, and then found the relationship between this moving line segment and the image of the quadratic function. It should be said that for this question alone, it is better than the 2020 The difficulty has increased slightly in 2017, but it still does not go beyond the examination of the image properties of quadratic functions, and it is not very difficult. However, the examination of a moving point and a moving line segment in the past two years has triggered the emergence of a large number of question types containing quadratic functions with parameters during the review period of this year's admissions examination. Maybe people think that the moving point and the moving line segment are just paving the way. This year Maybe parabola and can move. Students who don’t have a solid foundation feel helpless and exhausted physically and mentally when doing this kind of questions.
The 2022 question has come out, and everyone has seen it. The picture is at the beginning of the article, and it has returned to the position of question 21. The difficulty is even lower. This time, the points have not moved, nor the line segments, nor the parabola, but the father and son. The two are moving in a parabola, haha, this is the real return.
What is true regression? Mathematics education must return to textbooks. The prototypes can be found in this year’s quadratic function textbooks. What is more important is to realize the practical function of education. What is learned must be applied in life. Those The winding and imaginary shapes created by sitting in the office are not common in life, or even invisible. Maybe these need to be abandoned.
's personal words are for reference only. If there are any mistakes, please do not comment.
