1. Angle selection:
Angle understanding: For beginners, it may be a challenge to understand how to choose the right perspective to solve the problem, especially in the case of three-dimensional space or complex graphics.
Angle transformation: In the geometric problems required by the topic, it is sometimes necessary to transform two-dimensional plane problems into higher-dimensional thinking, which requires adaptive and flexible thinking.
2. Graphic conversion problem:
Graphic understanding: for some abstract or complex geometric figures, students may have difficulty in understanding the characteristics or properties of the figures.
Graphic transformation: when solving problems, you need to transform the graphics or graphic features in the topic into mathematical expressions or geometric theorems, which requires mastering geometric knowledge skillfully.
3. Application problems:
Practical application: In practical problems, the application of mathematical wide-angle collocation may make students feel difficult, and it is necessary to combine abstract mathematical knowledge with actual situation.
Problem transformation: students need to transform practical problems into mathematical models and then solve them through wide-angle collocation.
4. Calculation and reasoning problems:
Calculation skills: lack of calculation skills in angle calculation or geometric reasoning may lead to wrong results or slow problem solving.
Logical reasoning: be clear and rigorous in logic, understand the information given by the topic, and make correct logical reasoning.
5. Need additional knowledge:
Insufficient knowledge of wide-angle collocation: some problems require some advanced knowledge of wide-angle collocation, which may be a challenge for beginners.
Comprehensive application: Comprehensive problems involving many mathematical fields require students to master all kinds of knowledge well.
6. Solution:
In-depth study: deeply understand geometric knowledge, gradually improve from the foundation, and master basic geometric theorems and formulas.
Practice more: do more geometry problems and practice constantly to improve the ability to deal with different problems.
Integrating theory with practice: linking geometry knowledge with practical problems to increase the understanding and application of knowledge.
Auxiliary tools: Use graphic calculators, geometry software and other auxiliary tools to help understand and solve problems.
Ask teachers or classmates: Ask teachers or classmates in time when you encounter difficulties, and exchange and discuss problems more, which will help deepen your understanding.
Mathematical wide-angle collocation is an important part of mathematics. By understanding and overcoming these common problems, we can improve our ability and level of solving geometric problems.