2, a solid foundation of plane geometry: because the solution of solid geometry problems is handled on the plane, and the knowledge of plane geometry is used.
3, to be able to turn a three-dimensional problem into a plane problem, there are experiences and skills here. Do more questions and experience for yourself!
4, firmly grasp the concept of solid geometry, theorems, rules, formulas, and can be strengthened in the process of solving problems!
The above points for your reference!
This is the expert's suggestion:
There are two keys to learning solid geometry well:
1, graphics: not only learn to look at pictures, but also learn to draw. It is very important to cultivate your spatial imagination by looking at pictures and drawing pictures.
2. Language: Many students can think clearly about the problem, but once they fall on the paper, they can't say it. There is a word to remember:
Geometric language pays the most attention to rationality and evidence. In other words, if there is no basis, don't say it, and don't say it if it doesn't conform to the theorem.
As for how to prove solid geometry, we can study it from the following two angles:
1, classify all theorems in geometry: classification according to the known conditions of theorems is a property theorem, and classification according to the conclusions of theorems is a decision theorem.
For example, two lines parallel to the same line are parallel, which can be regarded as a property theorem of parallel two lines, or it can be regarded as it.
Achievement is a theorem to judge that two straight lines are parallel.
For another example, if two planes are parallel and intersect the third plane at the same time, their intersection lines are parallel. It is a property theorem that two planes are parallel.
It is also a judgment theorem that two straight lines are parallel. After this classification, we can find what we need, for example, we have to prove a straight line.
Perpendicular to the plane, the following theorem can be used:
The Theorem of (1) Vertical Line and Plane
(2) Two parallel lines are perpendicular to the same plane.
(3) A straight line and two parallel planes are vertical at the same time.
2. Be clear about what you want to do:
Be sure to know what you want to do! Before proving, we should design a good route, make clear the purpose of each step, learn to make bold assumptions and make careful reasoning.