2, familiar with the common problem-solving key points, commonly used auxiliary line exercises. Break down big problems into small ones, so as to solve them one by one. When we have no practical solution to a problem, we should be good at grasping the focus that may help you solve the problem. Auxiliary line is a very useful magic weapon to solve problems. When you encounter problems, you must know what auxiliary lines are in your heart, and then analyze the specific problems.
3. Train intuitive thinking. That is to say, according to the figures in the book, making some figures with cardboard and plasticine and making detailed observation and analysis can not only help us deepen our understanding of the theorems and properties in the book, but also cultivate our observation ability step by step.
4. Clear geometric language. Geometric language is divided into literal language and symbolic language, and geometric language is always associated with graphics. Many students can think clearly about the problem, but once it falls on the paper, they can't say it. One sentence to remember: geometric language pays the most attention to evidence and rationality. 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.
5. Train your imagination. Some problems depend not only on graphics, but also on abstract thinking. Students should not only learn to look at pictures, but also learn to draw pictures, and cultivate their spatial imagination ability by looking at pictures and drawing pictures. For example, the "point" in geometry has no size, only position. There is a size between the point in real life and the point actually drawn. So the "point" in geometry only exists in the brain thinking.