Analytic questions are questions that need to write out the process of solving problems, which occupy a considerable proportion in the mathematics questions of the senior high school entrance examination, and the competition in the examination also focuses on the scoring rate of analytical questions. Solving problems involves many knowledge points, wide coverage, strong comprehensiveness, large span and flexible problem solving, involving numerical calculation, function images and property calculation applications. The key to solving the problem is to obtain "symbolic information" from the language narrative of the topic, "image information" from the images and graphs of the topic, and flexibly use definitions, formulas, properties and theorems for calculation and reasoning. Use various mathematical ideas to establish various mathematical models to solve problems. The complex geometric problems of 0 1 structural graphics generally need to be solved by adding appropriate auxiliary lines, such as connecting, extending, making parallel, making vertical, etc. , and transform irregular and unusual graphics into regular or special images. Such as: constructing equal-length line segments, three-line octagons, congruent triangles, similar triangles, right-angled triangles, etc. , so as to use the nature and judgment of special graphics to solve the problem. In the process of graphic movement, we should carefully study the changing law of graphics, grasp the combination of driving variables and driven variables, explore the relationship between them, and solve them by functional relationship. Mathematics focuses on practice, and we should pay attention to summing up the skills and methods of solving problems in actual combat. Sometimes when we write several papers, we are practicing a problem-solving idea and method. At this time, it is necessary to draw inferences and solve many problems. The most effective way to learn mathematics is to find a breakthrough in solving problems through exploration and experience, so as not to get stuck in the ocean of problems and increase the pressure and burden on yourself. In the math exam, many students often can't finish the math paper because of lack of time, and their scores are not high. Mastering the problem-solving ideas can help students find the problem-solving ideas quickly and save thinking time. Function and Equation Thought Function thought refers to analyzing and studying the quantitative relationship in mathematics from the viewpoint of movement change, and analyzing, transforming and solving problems by establishing the function relationship and using the image and nature of the function. The idea of equation is to solve the problem by transforming the problem into an equation or inequality model with mathematical language from the quantitative relationship of the problem. When solving problems, students can use the idea of transformation to transform functions and equations. The thought of special and general is sometimes particularly effective in solving multiple-choice questions with this thought, because when a proposition is established in a general sense, it must also be established in its special circumstances. Accordingly, students can directly determine the correct choice in multiple-choice questions. Not only that, it is also useful to explore the problem-solving strategies of subjective questions with this way of thinking. The general steps to solve problems with extreme thinking are: 1. For the unknown quantity, first try to conceive a variable related to it; 2. Confirm that the result of this variable through the infinite process is an unknown quantity; 3. Construct the function (sequence) and get the result by using the limit calculation method or directly calculate the result by using the limit position of the graph. Students who discuss ideas by classification often encounter such a situation when solving problems. After solving a certain step, they can't continue with unified methods and formulas. This is because the research object contains a variety of situations, so it is necessary to classify all the situations, solve them one by one, and then summarize the solutions comprehensively, which is classified discussion. There are many reasons for the discussion of classification, and there are many situations in the mathematical concept itself, such as the limitations of mathematical operation rules, some theorems and formulas, and the uncertainty and change of graphic position. It is suggested that students should unify the standards when discussing and resolving different problems, and should not focus on or omit them.