First, we should pay enough attention to calculation.
Many students always think that calculating problems is much easier than analyzing application problems, and they have a solid understanding of some rules and laws, so calculating is a breeze, so they are either overconfident or inattentive when calculating, and the results are full of mistakes. In fact, it is not easy to calculate correctly. For example, to calculate a simple formula of 37×54 requires multiplication and addition, which can only be completed after four times of table multiplication and four times of one-digit addition. As for calculating an elementary arithmetic problem of fractions and decimals, it needs dozens of basic calculations and a lot of knowledge such as operation order, operation rules and four operation rules. In this complicated process, a little carelessness will make the calculation of the whole problem wrong. Therefore, the calculation must not be sloppy.
Second, it should be carried out in the general order of calculation.
First of all, make clear the meaning of the question and see if there are any special requirements such as simple method and keeping several decimal places; Secondly, observe the characteristics of the topic and see if there are several simple algorithms for operation;
Third, determine the operation sequence. On this basis, the relevant rules and laws are used to calculate (before the calculation of senior grades, the form of numbers should be converted, such as taking scores as false scores, reciprocal decimals and scores, etc.). ).
Finally, carefully check whether there are any mistakes, omissions or miscalculations.
Third, we should form the good habit of careful calculation. Some students make mistakes because they are not careful in calculus.
(1) The data is not written clearly, and the identification is wrong. For example, 0 and 6, 3 and 8, 4 and 9, 7 and 1 are all easy to admit mistakes.
(2) When drawing, the vertical patterns can't be arranged in a certain order, which leads to adhesion from top to bottom, regardless of the left and right. In addition, the same numbers are not aligned, which is inconvenient to check and easy to read wrong data. Therefore, we must form the good habit of writing numbers vertically.
Fourth, don't blindly pursue high speed.
Correct and fast calculation is the ideal goal, but it is necessary to know that correct calculation is the premise and the most basic requirement, and high speed without correct foundation is worthless. Therefore, it is better to calculate slowly, in order to ensure the correctness of calculation and improve the accuracy of calculation.
Cold skills of answering math questions in college entrance examination
1. Bring a protractor into the examination room. When you meet analytic geometry, you can immediately know how many degrees it is. It can basically solve the problem of finding a small angle. If you want something else, you can use it instead. The angle of a big problem is a very important conclusion. If it really doesn't work, you can also write a final conclusion.
2. The last problem in conic curve is often complicated and difficult to solve together. At this time, the special value method can be used to force the calculation process, that is, simultaneous calculation first, and then delta calculation. Use Vieta's theorem to list the expression of the solution of the problem, and it's ok.
3. There is a step in the process of proving space geometry that I really can't think of. Just write down the conditions you don't use and draw unexpected conclusions. If the first question really can't be written directly, the second question can be used directly! Students who use conventional methods suggest that a spatial coordinate system should be established at will first. If you make a mistake, you can get 2 points!
4. A new method to find dihedral angle B-OA-C in solid geometry. Using cosine theorem of trihedral angle. Let dihedral angle B-OA-C be ∠OA, ∠AOB be α, ∠BOC be β and ∠AOC be γ. This theorem is: cos ∠ OA = (cos β-cos α cos γ)/sin α sin γ. Knowing this theorem, if you encounter the problem of finding dihedral angle in solid geometry in the exam, a formula will come out.
5. Mathematical (physical) linear programming problems can be solved directly without drawing.
6. The conclusion of the first question is often used in the third question, the last big question in mathematics.
7. Math (science) fill in the blanks. Drawing in proportion has a ruler, zero-based direct seconds, and the ruler is really useful.
8. If you can't choose mathematics, remove the maximum and minimum values and choose another one. 80% of the college entrance examination questions are like this.
9. The derivative multiple-choice questions of transcendental functions can be replaced by constant functions that meet the conditions, but not by linear functions. If there are too many conditions, kill by mirroring. Inequality is also a special numerical method and image method.
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