First, famous mathematical sayings
1, give me five coefficients, and I will draw an elephant; Give me six coefficients and the elephant will wag its tail. -Cauchy
2. God created integers, and the rest are man-made. -Kroneck
3. We find that every new group is mathematical in form, because we can't have other guidance. -Darwin
Pure mathematics is a magician's real wand. Novalis
Mathematics is an infinite science. Herman Weil
Second, the types of mathematical problems
1, calculation and proof of line segment and angle.
2, graphic position relationship.
3. Dynamic geometry.
4. One-variable quadratic equation and quadratic function.
5. Cross-integration of multiple functions.
6, column equation (group) to solve application problems.
7. Dynamic geometry and function problems.
8. Induction and conjecture of geometric figures.
9. Reading comprehension.
Third, the types of Olympic mathematics topics
1, if there is a problem, chickens and rabbits are in the same cage.
2. Replacement and reduction.
3, profit and loss problem, and times the problem.
4. Sum difference problem and difference multiple problem.
5, the wrong car problem, the problem of sailing.
6. Cross the bridge and catch up with the problem.
7. Problems encountered and normalization problems.
Methods of learning mathematics
1, wrong title book
Many children are sloppy, but some sloppy are actually caused by students' unclear understanding of knowledge points. Such a topic must be recorded. There are also traps deliberately designed by questioners, which can also be recorded and reviewed regularly. After a long time, many carelessness will naturally be avoided.
2. Title classification book
I like the wrong problem book and record the problems I have done. Classification refers to dividing the problems I have done into several categories, one of which is extremely simple and can be read by myself. One is that it is difficult to find a breakthrough, and the other is very difficult.
3. New solutions to old problems
Look through the original questions from time to time, but the key point is to think about whether there are new ideas and skills for solving problems. This increasing thinking is conducive to the formation of students' thinking habits, as well as the formation of students' divergent thinking, examining ideas from multiple angles and using new knowledge to solve problems at any time.
4. Learning seminar
Sharing good test questions, methods, skills and experiences with group members on a regular basis can not only increase the affection between classmates, but also learn new things in the process of making friends, improve learning efficiency, cultivate cooperation spirit and enhance coordination ability.