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Excuse me, the answering skills of college entrance examination mathematics
First, the enlightenment of mathematics examination papers in college entrance examination over the years

1. There are reference formulas on the test paper, 80% of which are useful to guide you in solving problems;

2. There is a ladder relationship between the questions in the solution, and usually the conclusion of the previous question should be used in the later question. If the first question is proof, the conclusion can be used in the second question even if it will not be proved. Of course, we should also consider the independence of the conclusion;

3. Pay attention to the part in brackets in the topic, which is often the key to solving the problem;

Second, the choice of answering strategies

1. It is a principle that all subjects should follow to make it easy before it is difficult, and math papers are more important. Generally speaking, the last two questions of multiple-choice questions, the last one of fill-in-the-blank questions and the last two questions of answering questions are difficult problems. Of course, for different students, some simple topics may also be their own problems, so the difficulty of the topics can only be decided by themselves. Generally speaking, if you haven't established a solution after thinking about small problems 1 minute, then take "giving up temporarily" and answer your questions after you finish them;

2. Multiple choice questions have their own unique solutions. The first thing to grasp is that choosing a branch is also a known condition. Using the relationship between branches may make your answer more accurate. Remember not to make a mountain out of a molehill. Pay attention to solving problems step by step, and write possible formulas, methods or judgments according to the known conditions of problems and the relationship between them. Although you can't answer completely, you should also write your own ideas and practices on the answer sheet. You won't get extra points if you write too much, but you may get extra points if you write too much.

Third, the thinking method of answering questions

The topic of 1. function, equation or inequality should be directly considered first, and then the relationship between them should be established. Consider the domain first, and then use the "three-in-one theorem".

2. If there is a transcendental expression in an equation or inequality, the thinking method of combining numbers and shapes is preferred;

3. In the face of elementary functions with parameters, we should grasp the invariance of the parameters when learning. As a fixed point, the symmetry axis of quadratic function or ...;

4. Fill in the blanks with inequality questions and choose the special value method;

5. To find the range of parameters, we should establish an equation or inequality about parameters, and use the definition or range of functions or solve inequalities. In the process of formula deformation, the method of separating parameters is optimized;

6. The problem of constant establishment or its opposite can be transformed into a maximum problem. Pay attention to the application of quadratic function, flexibly use the maximum value on closed interval, and discuss the idea of classification. Classification discussion should not be repeated or omitted;

7. The topic of conic curve should be clear first, and the problem of intersection between straight line and conic curve should be solved. If it is related to the chord midpoint, we should choose the method of setting instead of finding the point difference, and if it is not related to the chord midpoint, we should choose the method of Vieta theorem formula. When using Vieta theorem, we should first consider whether it is the discriminant of quadratic sum root;

8. To solve the problem of curve equation, if you know the shape of the curve, you can choose the undetermined coefficient method. If you don't know the shape of the curve, the steps used are to establish the system, set the points and simplify the list (pay attention to remove the special points that do not meet the conditions);

9. Find the eccentricity of ellipse or hyperbola, and establish the relation equation of A, B and C;

10. To find the period, monotone interval or maximum value of trigonometric function, first consider transforming it into a chord function with the same angle, and then use the auxiliary angle formula to solve it; To solve the triangle problem, pay attention to the use of internal angle sum theorem; For vector-related topics, pay attention to the range of vector angles;

1 1. The title of the series is related to sum, and the formula of sum and the method of difference are preferred; Pay attention to the proof after induction and conjecture; The direction of conjecture is two special series; When solving, pay attention to the idea of understanding the equation by using the general term formula and the first n term summation formula;

12. If the first problem of solid geometry is to build a system, it must be completed by traditional methods. If not, you can build the system from the first question. Note that vector angle is different from line angle, line angle and plane angle, and master the transformation of trigonometric function values between them skillfully; The calculation attention coefficient of cone volume is 1/3, while the calculation attention coefficient of triangle area is1/2; It is also necessary to prevent problems related to the ball. Pay attention to connecting the "heart distance" to create a right triangle to solve the problem;

13. The topic of derivative is generally not difficult, but attention should be paid to the level and steps of solving the problem. If you want to prove inequality with constructor, you can find a breakthrough from the known or previous question and give up if necessary; Pay attention to the application of geometric meaning and whether the point is on the curve;

14. If the probability problem has a solution, set an event first, and then write the reason for using the formula. Of course, you should pay attention to the number of steps to determine the details of the solution; If there is a distribution table, the probability sum is 1, which is an important method to test whether it is correct or not.

15. In the three-out-of-three questions, pay attention to the transformation method for polar coordinates and parameter equations, pay attention to the geometric meaning of Cauchy sum absolute value for inequality questions, and pay attention to the known product related to the circle for plane geometry, and can be measured if necessary;

16. When encountering a complex formula, you can use the substitution method. When using the substitution method, we must pay attention to the scope of S $. If Pythagorean theorem is known, it can be done by trigonometric substitution.

17. Pay attention to the binomial distribution in probability distribution, the use and assignment method of general formula in binomial theorem, the enumeration method in permutation and combination, the negative writing of full name and proper name proposition, whether the endpoint of the solution of value norm or inequality can be verified separately, and whether there is slope when using point oblique or oblique equations.

18. Absolute value problem gives priority to absolute value removal, and absolute value removal gives priority to using definitions;

19. Regarding translation, please note that the formula "left plus right minus, up plus down minus" is only used for functions, and the translation along the vector must be completed by the translation formula;

20. With regard to central symmetry, it is only necessary to use the formula of midpoint coordinates. Regarding axis symmetry, pay attention to the application of two equations: one is vertical, and the other is that the midpoint is on the axis of symmetry.

4. Every minute counts.

1. The answer time is *** 120 minutes, and you should answer the test paper with 150 points. After calculation, you know that you have to answer more than 1 minute, so every 1 minute is very important. When the test paper is sent to you, you must first complete the necessary inspection (whether there is any unclear printing) and fill it out. After that, I will immediately look at the formulas that may be used in the test paper, so as to be aware of them. It is not impossible to calculate a simple topic with your heart, and it is not impossible to write when necessary (no one can tell whether you write a name or a letter).

2. Every point in the score is very important. You scored 89 points and 90 points, although there is only a difference of 1 point, but there are essential differences, one is unqualified and the other is qualified. In the college entrance examination, you scored 556 points and 557 points. Although the difference is only 1 point, it determines whether you can re-enter this line and is related to your life. So try to be perfect when answering questions. Evaluate each option in the multiple-choice question to see if the one similar to yours is more accurate. Is the range of fill-in-the-blank questions written in a set form, or are there fewer or more endpoints? Is there a solution that should be abandoned instead of abandoned? Are the problem-solving steps completed in the form of formulas, algebras and results, and are the application questions set, listed, drawn (linearly normalized), solved and answered? What else can you think of according to the known conditions? Write it on the test paper. Maybe it's the key you need 1. Why not do it?

3. The tight answer time is the feeling of all students. There is only one way to make it loose, and that is to learn to give up and judge giving up accurately, which provides the premise for you to get 1 point.

Calm down, it seems that you have delayed the time, but in fact you have won yourself an opportunity and may create a miracle. When you are confused, stop, take a sip of water, take a deep breath, and then exhale slowly. Just as you exhale, you will get inspiration.

If the topic analysis is frustrated, it is likely that an important known condition has been ignored by you, so you can find something by rereading the topic and reading it carefully, instead of staying at a fixed level of thinking. Lenovo's own method of solving similar problems, turning unfamiliar into familiar may be success.

6. The college entrance examination is only one of the most important exams in life. In fact, life is made up of every minute. Only by grasping every minute of life can we truly grasp life. The college entrance examination is only three modules. In fact, the real college entrance examination is in every 1 minute of your life.