Math answering skills 1. Clever use of mathematical thought.
60 points for objective math problems, characterized by only answers and no process. Some people call it an unreasonable problem. Just because you don't want to take a photo, you should pay attention to the problem-solving strategy, instead of solving every problem as a solution. Candidates can use three magic weapons: exclusion method, special value method and combination of numbers and shapes.
If |a| 1, |b| 1 and |c| 1 are known, the size relationship between AB+BC+CA and-1 is _ _ _ _.
With the special value method, take a=b=c=0 to get AB+BC+CA- 1. If we take it as a solution, some students may not do it, or even if they do, they will waste a lot of time.
2. Strive for the simplest solution
Some problems have simple solutions, but some students often don't think seriously after getting the problems, just think of a solution, and the result is either too complicated to do, or there are operational mistakes in the process of solving problems, even if they barely work out the results, it takes a lot of time.
Therefore, candidates should not rush to write when they get the questions. First, they should find a simpler way to solve problems, which can not only calculate correctly, but also save time, otherwise they will fall into an embarrassing state of being unable to get in and stop. From complex to simple, the key is not to stick to the rules. Another way of thinking can make the answer to the question extremely simple.
Mathematics of the National College Entrance Examination 1 Solution Methods of Various Questions. Solving triangle
No matter what the topic is, you must understand that you have only learned three formulas to solve triangles-sine theorem, cosine theorem and area formula.
Therefore, to solve the problem of triangle and find the area, we must use the area formula. As for when to use sine and when to use cosine, it doesn't matter if you can't judge quickly.
2. Conic curve
There is also a routine for the examination of the conic section of the college entrance examination.
The general routine is: the first half is to investigate the basic properties, and the second half is to investigate the intersection with the straight line.
When you have accumulated enough college entrance examination questions, you will find that the steps in the second half are basically the same.
That is, set a straight line, then substitute the straight line equation into the conic curve, get a quadratic equation about X, analyze the discriminant and Vieta theorem, and use the result of Vieta theorem to solve the unknown quantity.
3. Functions and derivatives
This kind of problem is to seek the derivation and then analyze the function. The step size of the derivative part is relatively fixed.
The problems of derivatives and functions can be roughly divided into three categories:
Discussion on monotonicity, maximum value and extreme value of 1.
2. Prove the inequality.
3. The function contains letters, and the value range of letters is discussed by classification.