1. Observe whether the prompt number is given before or after the box. If so, guess the number to fill in the box according to the prompt number. Carefully examine the questions, find out the key words and breakthrough points of the problems, and thus find the ideas and methods to solve the problems.
2. There is no prompt number before or after the box. You can try to use basic operations such as addition or subtraction to determine the number that should be filled in the box. Carefully examine the questions, find out the key words and breakthrough points of the problems, and thus find the ideas and methods to solve the problems. By analyzing and summarizing the conditions and conclusions of the topic, we can draw general rules and conclusions.
3. There are multiple prompt numbers before or after the box. You can try to add, subtract, multiply and divide these numbers to determine the number to fill in the box. You can also try to infer the number to be filled in the box by using logical reasoning according to the description of the topic. Assuming that the negative conclusion holds, we can deduce contradictory conclusions and prove that the negative conclusion does not hold, thus proving the original proposition holds.
Methods to solve mathematical problems
1, the significance of problem analysis: first of all, we must make clear the requirements of the topic, master the steps of solving the problem, and be prepared for solving the problem. According to the requirements of the topic, some impossible options can be excluded, thus reducing the number of options and improving the efficiency of doing the topic. For some fill-in-the-blank questions with geometric background, if we can think of the shape in the number and help the number with the shape, we can often solve the problem simply and get the correct result.
2. Rules: According to the problem-solving requirements, the sum of the numbers filled in each cell of each row and column is the same, and each number can only be used once. You need to list the sum of the numbers in each row, column and cell, so that you can know what numbers need to be filled in the blank. According to the law of the topic, the correct answer can be deduced.
3. Input Numbers: According to the law, start from each cell, fill in numbers, and then fill in numbers step by step until all the spaces are filled. When the conclusion of the fill-in-the-blank question is unique or the information provided in the question setting conditions implies that the answer is a fixed value, a special value can be used to replace the variable uncertainty in the question, that is, the correct result can be obtained.