Hengshui is not easy to practice, but you must know one thing. In the philosophy of senior one, we should act according to the rules, or we will be punished by the rules. Then, in my opinion, it is really unrealistic to do a good job and achieve the expected goal. Crash learning, just like memorizing texts, may be difficult to remember at that time and forget a lot afterwards. However, as you know, laws are objective, but we can make use of them. Although it can't be done quickly, as long as you stick to it, even if you just practice for a while against the copybook every day, it's like dripping water wears away the stone, accumulating and persevering, and you can't carve a rotten wood. Of course, the premise is that you must ensure that every painting and stroke are carefully completed, never perfunctory, and absolutely work towards the goal.
I use the philosophical point of view because we know that philosophy guides our life and can make it better.
In addition, I answered a question from a junior three student a month or two ago, which I think is helpful to you.
Q: Dear seniors, where should the auxiliary line start? When should it be used as an auxiliary line?
The teacher told us some examples of making auxiliary lines in class. They all told us to do this business directly, but they didn't systematically tell us why. As a result, when you encounter the problem of making auxiliary lines, you can't start. Now the senior high school entrance examination is coming, which really hurts me.
A: I want to talk more about the method of doing the problem. Remember, this is not just a way to do math.
Some mathematical geometry problems are one type, and some can be solved by models, which depends on the usual accumulation of brush problems to master the problem types skillfully.
Making auxiliary lines is a great skill and has many uses, such as: making a vertical line to generate right angles and trigonometric functions; Bisecting an angle produces two equal angles; Parallel lines produce congruence angles, internal dislocation angles, internal angles on the same side, congruence, similarity, etc. Connecting two points and so on is for the convenience of solving problems.
Some auxiliary lines are really hard to think about, but simple to do. Many topics can be thought in this way, which is called reverse thinking: the topic wants me to ask this, so what are the conditions for finding this? How to obtain these conditions? So you will find that to master the topic, you must have a solid foundation, you must master the memory and understanding of theorems and formulas, and then slowly improve yourself.
There is another very important one, which applies to all subjects: understanding. Memorize on the basis of understanding. It is difficult to produce results by rote learning. I have just finished the senior high school entrance examination, and now I am a freshman, and I deeply understand the importance of understanding. This is the way to do the problem, and you can master it skillfully on the basis of understanding. I suggest that when you encounter the problem of auxiliary line, you should carefully understand and think about why you want to do it and what it can do for me to solve the problem. Oh, so you can do this with auxiliary lines, so you can do that with these conditions, and finally you can work it out. You should have a clear idea when doing the problem. Follow it and the answer is right in front of you.
In my opinion, if you can't do the problem, you don't understand it. Understand and use. Understand the true meaning of being an auxiliary line, and make the benefits of this line, so that I can solve the problem conveniently and solve the problem well. Otherwise, without understanding as the support of thinking, all knowledge points will be randomly distributed in your mind. Only by understanding can we string together the pearls of knowledge points, string together your logic, arouse your thinking, play the role of knowledge points and use them for me.
Finally, I want to sum up a few points: understand, apply, lay a solid foundation, summarize the same type of topics, have clear thinking, pay attention to logical thinking, make good use of notebooks and wrong books, don't be afraid to ask teachers if you don't know, conscientious teachers are tireless, listen to your difficulties and light a bright lamp for you. During your study, don't forget to recuperate and ensure adequate sleep.
Middle school entrance examination, come on!