What you said is difficult and impossible, not that you really can't do it, but that you don't face it from the heart. Every time you just see the complexity without making up your mind to solve it, you ask yourself, is that right?
I will talk about the idea of improving mathematics from my own experience, hoping to help you.
First, I think the most important thing in learning mathematics is thinking. For example,
In the plane rectangular coordinate system xoy, it is known that the left focus of the ellipse C 1 is F 1(- 1, 0) and the point P(0, 1) is on C 1.
Find the equation of ellipse C 1
Let the straight line L be tangent to the ellipse C 1 and the parabola C2 at the same time, and find the equation of the straight line L. (20 12 National College Entrance Examination (Guangdong Volume) b)
After reading this problem, the first thing we should do is not to solve it, but to look at it and see what information it gives us. Obviously, we can know: c= 1, b= 1, and then get a, thus solving the first problem. Because the function will not be displayed, I can only talk about the idea of the second question. You can match the original question. Obviously, we know that parabola and ellipse intersect, so we can judge that there should be two straight lines, and the tangent position can only be above or below. In this case, we can draw a sketch and set a straight line, and the simultaneous equations can be solved.
Second, you must not forget the textbook when learning mathematics. I don't know if your teacher said that, but that's what my math teacher taught us at that time. In the third year of senior high school, I didn't buy any math tutorial books and problem sets except a math review material issued by the school. While others are reading, I am reading; I also read books when others are doing problems. Do no more than ten questions every day. I just read the textbook over and over again, without missing a word. By the time of the college entrance examination, I had more than 20 math/kloc-0. If I don't make mistakes, I may be taller.
I want to say here that reading textbooks is not browsing textbooks. You must think and understand. You should know that every example in the textbook has a purpose or is a representative of a kind of problem. All you have to do is find it. I have looked through my high school math textbook at least five times. Even every example, I can clearly know.
Third, what I want to say is that you can cultivate your own mathematical literacy. Senior three, it may be unrealistic for you to play some math games, but I suggest that you can find three or five people to form an interest group. Every time after class, or when you are tired of doing problems, you can discuss some math quiz games (you can find many online). It doesn't matter whether you can do it or not, just do it. Slowly you will find that mathematics is actually? So cute, hehe. . .
I hope I can help you.
Can you solve your problem?