What are the answering skills of junior high school mathematics problem solving?
The calculation should be in the form of columns, reflecting the operational relationship, simplifying the operation order, writing the steps completely, and not just writing the answers;
2. Geometric proof questions
Observe the geometry and analyze the relationship between angles. We should proceed from the known conditions, make strict reasoning, step by step, and be justified. The proof process should be concise, clear in thinking and complete in logic.
3. Practical application of acute angle trigonometric function.
Extract relevant information from the topic, reasonably find the right triangle or make appropriate auxiliary lines to transform it into the right triangle model, and put the known sum method into the right triangle to solve it;
4. Practical application of linear equations, inequalities and linear functions.
We should carefully examine and read the questions, and carefully consider the key words in the problem setting (such as: more, less, greater than, less than, at least, not exceeding, etc.) is the key to solving the problem. ), and find the equivalence relation to establish the equation or inequality; For linear functions involving one variable, attention should be paid to listing the function relationship by analyzing the meaning of the question, and then solving the problem by using the properties of the function;
5. Explore the analogy and expansion of the problem
Such questions are generally simple (1). Candidates try to get the question (1) right when answering questions. Questions (2) and (3) are generally related to the question (1). By analyzing the problem (1),
6. Quadratic function finale problem
The second analytic function in general (1) questions is to give sub-questions, so candidates can save time and answer quickly. Questions (2) and (3) generally involve classified discussions, so students must be considerate when doing these two questions.
Expanding reading: how to improve math scores and preview actively
Preview is the process of actively acquiring new knowledge, which helps to mobilize the initiative of learning. Before explaining new knowledge, it is an important means to read the teaching materials carefully and develop the habit of previewing actively.
Therefore, we should pay attention to cultivating self-study ability and learn to read books. For example, if you teach yourself an example, you should find out what the example is about, what the conditions are, what you want, how to answer it in the book, why you answer it like this, whether there is a new solution and what the steps are.
Grasp these important problems, think with your head, go deep step by step, and learn to use existing knowledge to explore new knowledge independently.
Active thinking
Many students just listen and can't think actively in the process of listening, so when they encounter practical problems, they don't know how to apply what they have learned to answer them.
The main reason is that you didn't consider the trouble caused in class. In addition to following the teacher's thinking, we should also think more about why we define it like this, and what are the benefits of solving problems like this. Taking the initiative to think can not only make us listen more carefully, but also stimulate our interest in some knowledge and help us learn more.
Rely on the teacher's guidance to think about the way to solve the problem; The answer is really not important; What matters is the method!
Broaden the thinking of solving problems
Math problem solving should not be limited to this topic, but should be generalized, think more and think more. After solving a problem, think about whether there are other simpler methods that can help you broaden your mind and have more choices in the process of doing the problem in the future.
There must be a book wrong.
Speaking of wrong books, many students feel that they have a good memory and can remember them without wrong books. This is an "illusion", and everyone has this feeling. When the problems increase and the learning content deepens, you will find yourself at a loss.
Wrong questions can record your own knowledge shortcomings at any time, which is helpful to strengthen the knowledge system and improve learning efficiency. Many schoolmasters got high marks because they used the wrong textbooks on their own initiative.