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The most comprehensive collection of junior high school mathematics problem-solving methods in history
Today, I will share with you 30 classic closing questions of the senior high school entrance examination, with detailed explanations and analysis. At the same time, I will share with you some problem-solving skills for filling in the blanks. I hope I can help my classmates.

Complete works of multiple choice questions

Method 1: exclusion option method

Because the answer to multiple-choice questions is one of the four options, there must be only one correct answer, so we can use the exclusion method to exclude the answer that is easy to judge as wrong from the four options, so the remaining one is naturally the correct answer.

Method 2: The method of assigning special values.

That is, according to the conditions in the topic, select special values that meet the conditions or make special graphics for calculation and reasoning. When solving problems with special value method, we should pay attention to selecting values that meet the conditions and are easy to calculate.

Method 3: directly observe or get the results by guessing and measuring.

This method is often used to explore the regularity in junior high school problems in recent years. The main solution to this kind of problem is to use incomplete induction to solve the problem through experiment, guess, trial and error verification and summary.

Method 4: Direct solution method

Some multiple-choice questions are adapted from some fill-in-the-blank questions, true-false questions and solution questions, so we can often adopt direct methods, directly proceed from the conditions of the questions, draw conclusions directly through correct operation or reasoning, and then compare with the options to determine the options. Most of us will use this method when solving problems.

For example, in the promotion activities of shopping malls, the goods marked 200 yuan will be 20% off on the basis of 20% off, and now the price of the goods is ().

A, 160 yuan b, 128 yuan c, 120 yuan d, 88 yuan.

Method 5: Number-shape combination method

To solve multiple-choice questions related to graphics or images, we often use the thinking method of combining numbers with shapes, and sometimes we have to use other methods comprehensively.

Method 6: substitution method

Substitute the selected branch into the stem of the question or substitute the question into the selected branch for inspection, and then make a judgment.

Method 7: Observation method

Observe the characteristics of trunk and selected branches, and make a choice by distinguishing the differences and connections of each selected branch.

Method 8: Enumeration

List all possible situations and make a correct judgment.

For example, it is enough to change a RMB with a face value of 10 yuan into small change and RMB with a face value of 1 yuan in 2 yuan. The method of change is ().

A.5 species B.6 species C.8 species D. 10 species.

Analysis: If we set the face value of RMB X as 2 yuan and the face value of RMB Y as 1 yuan, it is not difficult to list the equations. This equation has six pairs of non-negative integer solutions, and we choose B.

Method 9: undetermined coefficient method

To find a certain functional relationship, we can first assume the undetermined coefficients, then list the equations (groups) according to the meaning of the question, and then get the undetermined coefficients by solving the equations (groups), thus determining the functional relationship. This method is called undetermined coefficient method.

Method 10: incomplete induction

When a mathematical problem involves many or even infinite situations and it is difficult to start with a chaotic clue, the effective method is to find out the general law and solve the problem by investigating some simple situations.

The above are the answering skills we introduced to the students in junior high school mathematics multiple-choice questions. I hope that the students will master it carefully and the scores of multiple-choice questions must be won. There are more than ten kinds of answering skills in junior high school mathematics, all of which can be mastered best; If not, it is suggested that students choose the choice method of multiple-choice questions in junior high school mathematics that suits them.

Complete solution book to fill the gap

First, analyze the characteristics of fill-in-the-blank questions.

Fill-in-the-blank questions, which belong to multiple-choice questions, have all the characteristics of objective questions, namely, the questions are short and lean, the examination objectives are focused, the answers are unique and correct, the answering methods are simple, and the scores are objective and fair.

However, it has its own characteristics, that is, there is no alternative answer to choose from, which avoids the hint or interference of options and the lucky psychology of candidates. From this perspective, we can really examine the real level of students.

The content of the exam is mostly "double-base" and the knowledge coverage is wide. However, when examining the same content, it is generally a little more difficult than choosing a topic.

Second, the main problems

The main types of fill-in-the-blank questions in junior high school are quantitative fill-in-the-blank questions, which mainly examine the calculation of computing ability and the mastery of mathematical formulas involved in the questions by candidates. The second is qualitative fill-in-the-blank questions to examine candidates' understanding and proficiency in important mathematical concepts, theorems and properties.

Of course, these two types of fill-in-the-blank questions also penetrate each other, and the understanding and proficiency of specific knowledge only focus on the exam.

Fill-in-the-blank questions are generally one blank per question, but some provinces and cities have exceptions. Jiangxi province has also introduced the "read first, then fill in the blanks" exam, which lists the math scores of 30 students, gives the frequency distribution table, and then asks the candidates to answer six blanks, which can also be said to be a new type of exam.

This kind of reading comprehension question, which reads a short paragraph first and asks to answer related questions on the basis of understanding, is quietly emerging in recent years.

It not only examines students' ability to read, understand and sort out knowledge, but also reminds candidates to overcome the bad habit of swallowing dates and not demanding. The emergence of this new problem has undoubtedly thrown a stone at the calm lake.