First, I understand that the knowledge of geometry in senior high school is still limited. Where are the limitations? There are two: space geometry often talks about cuboids or regular polygons, and the geometric problems involved are basically length, angle and mutual position, such as parallelism, verticality and verticality in space. Analytic geometry still stays in XY coordinates, and high school analytic geometry stays in hyperbola and parabola. If you go to college, whether it is two-dimensional or three-dimensional, whether it is a sphere, a plane, an ellipsoid and so on. , are expressed by analytical formulas. -because those mathematicians hope to express geometry through mathematical equations and describe their general geometric relations with mathematical expressions. Of course, we are just students, so let's consider it as improving our mathematics accomplishment. -,-

Second, if you have an idea, you have motivation. Like DOTA. Similarly, so is geometry. What's more, China's exam questions rank among the top in the world. - ,-! So, think more. It is important not to deviate from the rules of the college entrance examination.

Third, the space geometry of senior high school includes the space geometry of the college entrance examination, which is relatively not difficult. Of course, there must be doubts behind it. Doing the sea needs goals and ideas. If you do it aimlessly, you can only drown in the ocean of problems.

First of all, there must be an idea, that is, can a given condition "spell" a geometric figure? These conditions are nothing more than: side length, direction (that is, angle) and relative position. For example, three sides with sides 3, 4 and 5 can form a triangle. The area, perimeter and three angles of this triangle are determined by these three sides (in other words, the size of these areas, perimeters and three angles can already be expressed by formulas containing these three sides).

2 With the idea of 1, then the next step is to ask the sea. Give a simple example: space geometry. If a cube with a side length of A is known, can the diagonals of any two adjacent faces (regardless of length or space angle) be determined (that is, can it be expressed by a formula containing A)?

In fact, most of the sea of questions are the products of the thinking of those mathematical masters hundreds of years ago, and some of them have become sea of questions after being revised by experts. Now, mathematicians are using computers to calculate the general relations of geometry in any dimension. -But I have no idea about college mathematics. After all, they have all come out to work and focused on their work. Those amateurs have long forgotten. So I'm just a person who knows why >< don't spit out, O, O questions are divided into regions. For example, most mathematics masters come from the most cutting-edge research work, and our students mainly face three types: basic questions, college entrance examination questions and Olympic mathematics questions.

(4) Finally, I would like to remind you that it is still a good method to solve high school space geometry problems with coordinate vector method, just like solving application problems with column equations. You don't need to consider many details, just list the required formulas according to the meaning of the question and find the relevant values.

⑤ What is the math college entrance examination? This is a popular evaluation and screening method; Used to kill people who don't like math and treat reading as a plaything; It is used to kill students who are submerged in the sea of questions, and also to kill schools that fail in mathematics teaching; Be favored by Kao Ba who is not submerged in the sea of questions; It is another sharp weapon for high flyers to compete in the examination room.

The most important thing is to be able to do it with my classmates. Don't fight alone, or you will drown.