Students in the first year of high school often feel that inequalities are very difficult, and they can't understand and don't know how to do questions. It is true that inequality is an important concept in mathematics and may be a bit difficult for students in the first year of high school. But be aware that the difficulties you are facing now are only part of the level of mathematical difficulty. Wait until your third year of high school to find that it is more difficult to find the maximum value of inequalities!
From the first year of high school to the third year of high school, the difficulty of mathematics will gradually increase, and the function maximums are one of the more complex parts of high school mathematics. This shows that the difficulty of mathematics is indeed progressive, but the key is to lay a good foundation for the first year of high school.
When you find a knowledge point difficult, don't just think about how difficult it is, but take action to overcome it. Practice and action are the only way to solve 90% of your confusion.
Below, I have shared with you a summary of the knowledge points about inequalities, and used different colors to annotate them to make it clearer and clearer. There are also some example problems and after-class exercises, and the previous articles explain various methods and exercises of inequality, including the direct method, the conventional makeshift method, the elimination method, the substitution to find the maximum, the double substitution to find the maximum, and the homogeneity to find the maximum. Please read and learn for yourself. After learning, be sure to practice with your hands to improve your sense of questions and deepen your understanding of the knowledge points, not just learn but not do the questions.
Due to space limitations, if you need the full version of the information, you can chat with me privately. I hope you find these materials helpful in your studies, and I wish you all progress in your math studies!