It is difficult to solve some score problems by conventional methods, especially the competition of a series of scores. If we can solve the problem by reciprocal method according to the structural characteristics and internal laws of the score, it is often concise and vivid, so that the problem can be solved easily.
This question can be answered directly, but it is easy to make mistakes for students with a little lack of computing ability, but the reciprocal calculation is simple and fast.
Basic method:
① General numerator method: make the numerator of all fractions the same, and compare them according to the relationship between the numerator fraction and denominator.
② Common denominator method: make all fractions have the same denominator, and compare them according to the relationship between fractions with the same denominator and the numerator.
(3) Benchmark method: Determine a standard and compare all scores with it.
④ comparison method of numerator and denominator: when the difference between numerator and denominator is constant, the larger the numerator or denominator, the greater the score value.