The following is an analysis of this problem:
1, the significance of mathematics competition
Mathematics competition aims to cultivate and tap students' mathematical ability and potential through the setting of topics, and is also conducive to improving students' thinking ability and problem-solving ability.
2, the characteristics of geometric problems
Geometric problems usually need to prove some mathematical theorems or conclusions, which requires candidates to have solid geometric knowledge and strong reasoning and analysis ability.
3. How to deal with geometric problems
To deal with geometry problems, students need to master geometry knowledge systematically, including the basic knowledge of junior high school and the in-depth analysis of senior high school content. In addition, they also need to pay attention to the choice of appropriate proof methods and strategies, as well as a good attitude and enterprising spirit.
4. The application of vector method in geometric proof.
Vector method is a common proof method in mathematical analysis, and it is also widely used in geometric proof. By determining the position vector of geometric objects, the proof process can be simplified and unified, and the efficiency and accuracy of proof can be improved.
5. The importance angle of the triangle is equal to 90 degrees.
One angle of a triangle is equal to 90 degrees, which is a very important conclusion in geometry. It not only has basic theoretical significance, but also involves many practical applications. For example, in architecture and engineering design, it is necessary to measure or calculate the angle and distance between objects, and the theorem that one angle of a triangle is equal to 90 degrees is one of the foundations.
6, the ability and quality of mathematics competition.
Taking part in the mathematics competition is not only to examine students' mathematics knowledge and ability, but also to cultivate students' abilities and qualities in innovative thinking, independent thinking, teamwork, communication ability and psychological quality, which are the comprehensive qualities and core competitiveness needed by modern society.
To sum up, the emergence of mathematical competitions and difficult geometric problems is not only a test of students' mathematical ability and potential, but also an incentive and guidance for them to continue learning and exploring the mathematical world.