1. To simplify a complex problem is to decompose a complex problem into a series of simple problems, divide a complex graph into several basic graphs, find similarities, find right angles, find special graphs and solve them slowly. College entrance examination is graded step by step. This way of thinking is particularly important. You can count it first and prove it first. You can score points by stepping on the main points. Even if the conclusion can't come out, there are still many in the middle.
2. The problem of motion is static. For dynamic graphics, first find the unchangeable line segments and angles, and whether there are always equal line segments, always congruent graphics and always similar graphics. All operations are based on them. After finding the relationship between the changing line segments, solve it slowly with algebra.
General problems are specialized, and some general conclusions cannot be solved. First look at special cases, such as the moving point problem, and see how it moves to the midpoint, how it moves to the vertical, and how it becomes an isosceles triangle. Find out the conclusion first and then solve it slowly.
In addition, there are some details to pay attention to. Trigonometry is better, as long as there is a right angle, you can use it. From the point of view of simplifying operation, trigonometry is better than proportional formula and Pythagorean theorem. There won't be too many calculation obstacles in the senior high school entrance examination proposition. If you encounter complicated operations, you should turn back in time to avoid going into a dead end.
If you encounter a similar triangle, remember to look at the angle first, and then calculate the edge. When looking for an isosceles triangle, you should also look at the angle first, then at the height on the bottom (the three lines are one), and finally at the edge. This can greatly simplify the operation.
It is an effective way to do more problems and brush math problems when you have knowledge. As the saying goes, mass production causes qualitative change. Only by doing more questions can we answer more skillfully and confidently, which can not only improve the accuracy, but also save time. Don't panic if you encounter any questions that you can't. You can jump over and do the simple one first, and then study the one that won't follow. Maybe you will have a new idea, even if you still can't, you can't leave it blank. Every wrong question is like this! Be sure to pay attention to the wrong questions! Come on!