The success of the four colors is also an important chapter.
Factorization of 1 This is one of the three important parts of junior high school olympiad (the other two are one yuan quadratic and similar triangles).
It is also the key to winning the Olympic Games. The four-color comparison system completely supplements the commonly used factorial mean.
In addition, two sharp tools, factorial theorem and undetermined coefficient, are explained, and even coefficient symmetric polynomial and higher order decomposition are involved.
I have to say that this chapter is one of the few chapters in two books that are well compiled.
Lan Ao and Jing Jiang's writing in this chapter is a blast (although the exercises are not bad).
2, 1 unary quadratic equation adds discriminant extreme value and Vieta theorem, which is a great supplement to rigidity number.
Strangely, Si Se talked about the integer root of a quadratic equation with one variable, which is obviously an absolute contest topic (related to number theory).
This chapter of Lan Nao was written by the famous uncle Ge Jun in Jiangsu. Naturally, there are three volumes in the whole blue brain 789, and 9 volumes are the most written.
Refreshing.
3. Angular bisection theorem, Mercer theorem
This four-color pink is more important, but it is less mentioned in Lan 'ao and Beijing suburbs.
4. Introduction of Pythagorean Theorem (ideas in original geometry)
Quadratic function is simple and detailed.
Four colors are not enough, and one more must be added:
1, right triangle chapter four colors did not teach projective theorem, which is the biggest failure.
The theorem of definite difference power line is also very important.
Similar triangles is a bit short, but this chapter is really important.
3. Trigonometric function is a young chapter with four colors.
I only talked about the simple definition of three letters, but I didn't mention it.
Sine theorem, cosine theorem and angle between two sides to find area
This part is specifically talked about in Ao Jing's 9 volumes.
Trigonometric function is the focus of high school mathematics, and it is also
I haven't learned the first three letters about the killing device of competing products.
There is no way to learn. This lecture and that chapter are sure to win.
4. There is no latest test about the geometry of quadratic function.
Therefore, the purpose of four colors is to expand the knowledge of just counting and help children who only learn just counting to get in touch with the roots of mathematical ability in high school.
His algebra is more difficult than that in the senior high school entrance examination, slightly more difficult, but the geometry part is definitely insufficient.
If you think that the teacher is slow to read, then the examples can be read directly according to the answers, and the after-class questions and exercises can be read according to the ideas. However, the last few sections of each chapter should be done carefully, and the essence is behind (examples should be viewed in a way of thinking, so that you can spend more time with your children to experience, ask more questions of 5W3H or 5WHY, and conduct SWOT analysis if possible), and all kinds of physical examination software have detailed explanations;