(2) application questions. The competition mainly has these aspects: First, the average problem. Basically, I have to take the exam every year. The second is the itinerary. Travel problems are also common in junior high school exams. Because senior one and senior two have to study mathematics and physics, they also have to encounter travel problems. I didn't learn well in the fifth grade trip, so I must make up this lesson in the review of junior high school. The trip problem is a distance problem in the junior high school exam. It also often appears in competition questions. The third is the application of scores. Fractional application problems teach you two skills: one is that all fractional application problems can be found in the first unit and transformed into the first unit with the idea of transformation. The second is that many fractional application problems have an invariant. Therefore, teaching students to find unit one and invariants by transformation will often make the application of fractions easier. The fourth is the type of skills. This kind of problem needs to be solved by line segment, correspondence and area diagram. This kind of problem needs special study.
(3) The problem of integers. Including the divisibility of numbers, the greatest common factor, the least common multiple, prime numbers, odd numbers and even numbers, etc. There is a remainder related to integers, and division by remainder involves remainder theorem (fifth grade Olympiad), as well as divisibility and integer splitting.
(4) Preliminary knowledge of geometry. The first is counting: counting is more in the third or fourth grade or the fourth or fifth grade. In recent years, it has also appeared in junior high school exams. For example, the number of graphics, how many ways to buy train tickets, etc. Second, calculate the length, area, perimeter, volume, volume, etc. This kind of graphic problem is often solved by segmentation, cutting, translation and rotation. This kind of questions often test students' practical ability, brain ability, operational ability and inductive ability, and examine students' initial concept of space.
(5) Numbers. Including clever vertical filling, operation symbols, clever 24-point calculation, digital puzzles and so on. Basically, there is one such problem in Jiaxiang's five or six transition classes every year. The number problem also includes number matrix diagram, square matrix problem and so on. Of course, number theory problems also include these number theory problems.
(6) Other topics. The first is to analyze reasoning questions: test students' initial logical reasoning ability. The second is the problem of inclusion and exclusion: that is, the principle of inclusion and exclusion, which is the most basic set graph. The third question is arithmetic progression's: From the fourth grade of primary school, I began to learn how to find simple terms, final terms, tolerances and sums. This kind of problems will not cause problems such as summation alone, but these methods will be used in number theory problems. Others, such as strategic issues, winning principles, will be learned in the fourth grade, and pigeon hole principles will be learned in the fourth and fifth grades; There is also a limit problem. At this time, we will also study the problem of finding the maximum and minimum.
In a word, the similarity of the competition questions between China Games and Olympic Games has been very small in the past two years, mainly to test students' comprehensive ability. As long as students master the methods, they will use them to solve problems.