1. The first echelon
ISSAT mathematics /GRE mathematics, with difficulty index of 0.3; SAT mathematics, difficulty index 0.5; TSA mathematics, the difficulty index is 0.5.
2. Second echelon
GMAT mathematics, with difficulty index of 0.8; IG mathematics, difficulty index1; APPreCal, difficulty index1; Mathematics for senior high school entrance examination, difficulty index 1.5.
3. The third echelon
IBSL, difficulty index 2; A2 Mathematics, difficulty index 2; AP calculus AB, difficulty index 2.5; AP calculus BC, difficulty index 3; TUMA/CTMUA, difficulty index 3; BBH mathematics, difficulty index 3; A2 is high, and the difficulty index is 3.5.
4. The fourth echelon
MAT, difficulty index 4; Step 3, the difficulty index is 4; STEP2, difficulty index 4.5; BMO 1, difficulty index 5; AMC 12, with a difficulty index of 5.5.
5. The fifth echelon
BMO2, difficulty index 6; Aimei /ARML/DMM, difficulty index 7; Mathematics in the college entrance examination, the difficulty index is 7.5; Gao Lian 1/HMMT/ pumak, with difficulty index of 8; Gao Lian 2, difficulty index 8.5; CMO, difficulty index 9; IMO, difficulty index 10.
1. Overview of Mathematics Competition
Mathematical competition is an important way to select and cultivate mathematical talents, aiming at stimulating students' interest and creativity and cultivating their mathematical thinking ability and problem-solving ability by exposing them to more challenging mathematical problems. This form of competition exists widely in all ages, from primary school to high school and university, and there are corresponding levels of mathematics competitions.
2. Classification of mathematical competitions
Mathematics competitions can be classified according to different standards: according to the participants, they can be divided into competitions of different groups such as primary school students, middle school students and college students; According to the content of the competition, it can be divided into number theory competition, geometry competition, algebra competition and other different types of competitions; According to the competition form, it can be divided into two forms: individual competition and team competition.
Difficulties: How to determine the point M? Because the side lengths of the left right-angled triangle are 3, 4 and 5 respective