Some candidates only know that the examination room should be fast, and as a result, the meaning of the question is unclear and the conditions are incomplete, so they are eager to answer. Don't you know that haste makes waste, and as a result, their thinking is blocked or they walk into a dead end, leading to failure. It should be said that the questions should be slow and the answers should be quick. Examining questions is the whole process of solving problems? Basic engineering? , the topic itself is? How to solve the problem? We must fully understand the meaning of the problem, synthesize all conditions, extract all clues, form an overall understanding, and provide a comprehensive and reliable basis for the formation of problem-solving ideas. Once an idea is formed, it can be completed as quickly as possible.

such as

First, the image method.

An important way to discuss the properties of functions is to look at images and obtain properties by image method.

Define the corresponding part of the domain image on the x-axis.

The corresponding part of the range image on the y-axis.

monotonicity

From left to right, the interval corresponding to the continuous rising segment on the X axis is an increasing interval; From left to right, the interval corresponding to the continuous decline on the X axis is the subtraction interval.

The maximum image has a maximum at the highest point and a minimum at the lowest point.

Parity is an even function symmetric about Y axis and a odd function symmetric about the origin.

Second, solve the absolute value problem.

It mainly includes simplification, evaluation, equations, inequalities, functions and other issues. The basic idea is to turn a problem with absolute value into a problem without absolute value. The specific transformation method is as follows:

① Classification discussion method: according to the positive, zero and negative scores of numbers or formulas in absolute value symbols, the absolute value is removed.

② Zero-point subsection discussion method: it is suitable for the case that a letter has multiple absolute values.

③ Two-sided flat method: it is suitable for equations or inequalities with non-negative edges.

④ Geometrical meaning method: It is suitable for cases with obvious geometrical meaning.

At the same time, please note:

The number of math college entrance examination questions is 120 minutes and 26 questions. The time is very tight, so it is not allowed to do a lot of detailed post-solution tests, so we should try our best to calculate accurately (key steps, strive for accuracy, rather slow than fast) and base ourselves on one success. The speed of solving problems is based on the accuracy of solving problems, not to mention that the intermediate data of math problems often come from not only? Quantity? In, from? Natural? In fact, it affects the answers of the following steps.

Therefore, under the premise of taking speed as the first priority, we should be steady and steady, well-founded at all levels and accurate step by step. We should not lose accuracy or even important scoring steps in pursuit of speed. If speed and accuracy cannot be achieved at the same time, we have to be quick and accurate, because the answer is wrong, and it is meaningless to be quick.