? Take the exam? , the magic weapon of the teacher; "Points points? , the lifeblood of students. This semester is coming to an end. Look at these problem-solving methods. Have you mastered everything?

(1) multiple choice questions

When examining multiple-choice questions, we should be clear: right or wrong? Where is the answer written, and so on.

There are three basic ways to do multiple-choice questions:

1, direct solution. According to the known conditions, the correct answer can be obtained by calculation, drawing or substitution selection in turn.

2. Exclusion method. Exclude the wrong answers from the options, and the rest are correct answers.

3. Guess. Here you are not asked to throw a sieve with a rubber, but to make a reasonable guess based on what you have learned. For example, if you want to find the eccentricity of an ellipse, there are four options, two of which are greater than 1 and two are between 0 and 1, so you can't choose the option greater than 1. (I don't know why, hurry to the wall)

(B) the application of examination and problem-solving skills

There are two links to be paid attention to in answering applied questions. One is to read and understand the materials stated in the stem; The second is to transform it into a mathematical problem and establish a mathematical model through abstraction. Function model, sequence model, inequality model, geometric model and counting model are the most common mathematical models. We should pay attention to induction and make good use of these mathematical models.

(C) the maximum and fixed value of the examination and problem-solving skills

Maximum value and fixed value are two specific states of a variable in the process of change.

The maximum value focuses on the maximum/minimum value of variables and the conditions for obtaining the maximum/minimum value;

Fixed value focuses on invariants in the process of variable change.

In recent years, there have been various problems of maximum and fixed value in mathematics college entrance examination questions, and various knowledge carriers have been used. Algebra, trigonometry, solid geometry and analytic geometry all have the problem of passing the maximum or fixed value, and some application problems often take the maximum/minimum value as the way to ask questions. There are also various ideas and methods to analyze and solve the maximum problem and the fixed value problem. The problem of maximum and fixed value of life system can better reflect the proposition principle of mathematics college entrance examination questions. To deal with the problem of maximum and fixed value, the most important thing is to carefully analyze the situation of the project and choose a reasonable solution to the problem.

(4) Calculation of proof questions

When solving this kind of problems, it is extremely important to examine the questions. Only by understanding the conditions and implied information provided by the topic and determining the specific steps to solve the problem can we solve the problem. When doing this kind of problem, there are some problems to pay attention to:

1 Pay attention to all the requirements of the question, and don't leave out what should be answered.

We should form the habit of standardizing answers in our daily practice.

Don't ignore or omit important key steps and intermediate results, because this is often the key point of the answer to the question.

Pay attention to clearly record the small steps and related formulas on the test paper. Even if you can't get the final result, writing these will help improve your score.

Ensure the accuracy of calculation and pay attention to the conversion of physical units.

(5) Parameter examination and problem-solving skills.

Parameter has the dual characteristics of constant and variable, which is in mathematics? Busy? Elements, parametric equations of curves, curvilinear equations with parameters, functional formulas, equations and inequalities with parametric coefficients are all related to parameters.

Various transformations between function images and geometric figures are also related to parameters, and some inquiry questions are also related to parameters. Parameter has a strong? Affinity? , can choose a wide range of knowledge carriers, can effectively examine the combination of numbers and shapes, classification discussion, motion transformation and other mathematical thinking methods.

To deal with the parameter problem, we should grasp two links. First of all, we should make clear the meaning of parameters, such as geometric meaning, physical meaning, practical meaning, especially the parameters with geometric meaning. We must use the thinking method of combining numbers and shapes to deal with the interrelation and transformation between the geometric characteristics of figures and the corresponding quantitative relations. Second, we should pay attention to the discussion of parameter values, or use the undetermined coefficient method to determine the parameter values, or use the transformation of inequality to determine the parameter value range.

(6) Examination and problem-solving skills of algebraic proof questions

In recent years, the mathematics college entrance examination has focused on controlling the difficulty of solid geometry test questions, and the focus of reasoning and argumentation ability has shifted to algebra and analytic geometry, especially algebraic proof questions. The nature of function and the proof of related function; The nature of sequence and the proof of related sequence; Inequality proving problems, especially inequality proving problems combined with functions or sequences, frequently appear in mathematics college entrance examination questions in recent years.

To deal with the problem of algebraic proof, we should first comprehensively investigate the relationship between various related factors and pay attention to the overall structure of the problem; Second, the process of reasoning and argumentation should be expressed completely and accurately. For algebraic proof with geometric significance, we should deal with the relationship between geometric intuition, number transformation and reasoning, and pay attention to prevent simple application? As you can see. Alternative reasoning argument.

(7) Examination and problem-solving skills of inquiry questions.

In recent years, the college entrance examination for mathematics has been going on. Think more about the exam and count less? Proposition intention, increase the thinking ability of test questions, control the calculation ability of test questions, and highlight mathematics? Core competence? An examination of thinking ability. Some questions design novel scenarios, some questions design flexible questioning methods, and some questions design new questioning structures such as existential questions; Find the conclusion and prove its problems; Seek and prove sufficient or necessary conditions. This kind of questions will help to overcome rote memorization and mechanical copying and optimize the examination function.

Be cautious about asking questions? Reading comprehension? And then what? Overall design? In the two links, we should first understand the topic, comprehensively and accurately grasp all the information provided by the topic and all the requirements put forward by the topic, on this basis, analyze the overall structure of the topic, find a good starting point for solving the problem, have a preliminary design for the main process of solving the problem, and then write down the problem. When thinking is blocked, adjust the problem-solving plan in time. Don't start with a little knowledge.

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