2. I have studied algebra in junior high school mathematics, and it is also some algebraic principles, such as quadratic equation formula, the relationship between roots and coefficients, and the sum and difference of squares. These principles are not only embodied in those formulas, so you must learn its methods. For example, if you know the formula of (a+b) 2, do you know the formula of (a+b+c) 2? Do you still know the formula of (A+B) 3? Do you know how to make it completely flat? How to calculate x 2-2x-3 = 0 orally (by completely flat method)? Do you know how to factorize? These are actually (a+b) 2, from which we get the property of Y = AX 2+BX+C!
3. The geometry is clearer. Similarity is the main line, and everything else is its extension. Can you prove the theorem of internal angle bisector? Can you prove it from three aspects? What are the properties of inner heart, center of gravity, hanging heart and outer heart, and how are they found and obtained? What is Seva Theorem? What is Menelaus Theorem? What do they have to do with heart, center of gravity, heart and heart?
Mathematics is a method, not a formula. I only know a few formulas, just a little scratch. As mentioned above, if you can prove Menelaus theorem, you already know similar triangles!
Besides the importance of methods, thinking is also very important in mathematics. I am disgusted with the tactics of asking the sea. I think it's stupid pig's slander on mathematics! Mathematics is a very interesting and abstract subject, which emphasizes analytical thinking. What is the ocean of problems? Doing the problem repeatedly can only be marking time! So, I suggest you think more, why can you think like this, why do you think like this? Why can this formula be used in this way and other ways? In other words, we are often good at seeking mathematical analysis methods.
6. In addition to methods and ideas, you should be good at popularization. You have studied the interior angle bisector theorem, so is there any exterior angle bisector theorem?