Shanghai college entrance examination is an independent proposition, not a national paper. Chinese, mathematics, foreign languages, ideology, politics, history, geography, physics, chemistry and life sciences in Shanghai college entrance examination are all independent propositions of this city.

At present, in addition to Shanghai, Tianjin, Zhejiang and Beijing are provinces and cities that use independent propositions. Among them, the specific factors are also different.

What are the methods and skills of solving problems in college entrance examination mathematics?

First, the direct method: according to the setting conditions of multiple-choice questions, through calculation, reasoning or judgment, it finally meets the requirements of the questions.

This method of directly calculating, judging or reasoning according to known conditions to solve multiple-choice questions is called direct method.

Second, indirect method: indirect method is also called test method, exclusion method or screening method, and can be divided into conclusion exclusion method, special value exclusion method, step-by-step exclusion method and logical exclusion method.

Third, the combination of numbers and shapes:

It is to combine the quantitative relationship in the problem with the spatial graph to think about the problem.

The number and type are transformed into each other, which simplifies and solves the problem.

Fourth, the special value method:

It is difficult to prove the correctness of some problems in theory, but it is easier to verify that they are wrong by substituting some special values that satisfy the meaning of the questions. Then we can solve the problem like this.

Five, classification transformation method:

In a certain way, unfamiliar problems can be turned into familiar problems, and complex problems can be turned into simple problems, so that problems can be solved.

Six, equation method:

A method of solving problems by setting unknowns, finding equivalence relations, establishing equations and solving equations.

Seven, the actual operation method:

In recent years, there have been some problems about origami and paper cutting. We actually do it in the exam, and it is easy to get the answer.

Eight, hypothesis method:

There are so many situations on some topics that we can't start. At this time, you can assume a situation first, and then rule out the impossible from this assumption and draw a correct conclusion.

Nine, drawing method:

Some multiple-choice questions can make functional images or geometric figures through the functional relationship or geometric meaning of propositional conditions, and find the correct answer from them with the help of the intuition of images or figures.

This method of applying "combination of numbers and shapes" to solve multiple choice questions in mathematics is called "drawing method".

X. verification method:

Directly test the setting conditions of conclusion generation in each selected branch, so as to select the answer that meets the meaning of the question.

XI。 Definition method:

The method of making a correct choice by using relevant definitions, concepts, theorems and axioms.