In addition to analytic geometry and solid geometry marked by geometry, there are linear programming in inequality. There is also geometry hidden in the depths: functional images.
In high school, most problems were drawing, such as probability problems, permutation and combination problems, and sometimes sketches were used. If you want to ask me why so many questions are drawn, I will tell you that it is because of the application of the combination of numbers and shapes.
In the past, our teacher told us that if we want to learn math well, we must learn to look at pictures and draw pictures. It was this teacher who made me fall in love with mathematics. I suggest you look up the definition of mathematics.
The combination of numbers and shapes is the most important mathematical thought in senior high school, as well as transformation classification thought, equation thought, limit thought, classification thought and so on. You are only a freshman. I believe you have also come into contact with many graphs, such as trigonometric function, odd-even function, absolute value function, logarithmic function, exponential function and so on. Do you find that the concept of graph runs through it? Even Wayne's images in the collection are sketches. When you study derivatives in senior three, you will find that even derivatives involve drawing. There is a typical problem that the images of y=m and f(x) have three intersections in a certain interval, so it is necessary to draw a sketch to help understand the range of m.
The most difficult thing in high school is the combination of sequence and inequality (you will learn inequality in grade two). Like analytic geometry, you will hear others say it is difficult because you don't have the knack. They say there are two difficulties: the first is the use of definitions they don't know, and the second is the calculation problem they know but don't know how to solve. And what you said about solid geometry, don't be afraid to use vector method to solve big problems. I'm afraid that in the process of choosing and filling in the blanks, once the question is difficult, not many people can do it.