1. Imitate the problem-solving process of examples in books, and imitate the problem-solving process of teachers. Solving problems is a skill, just like swimming, skiing and playing the piano. At first, you can only learn by imitation.

2. practice. If you don't go swimming by yourself, you'll never learn to swim. Therefore, if you want to get the ability to solve problems, you must do more problems.

3. It is not enough to improve your problem-solving ability by imitation. You must sum up in time, even find the skills to solve a class of problems, and form your own secret.

4. Be proficient in the following mathematical ideas (the so-called ideas are theoretical methods to guide our practice, which mainly refer to ideas or methods here): 1 Transforming ideas. 2 equation thought. 3. Combination of form and number. 4 function thought. 5. holistic thinking 6. Classified discussion thinking 7. Statistical thinking. Take the idea of classified discussion as an example. Classified discussion is an important way of thinking in middle school mathematics. In the annual senior high school entrance examination, related issues will be discussed in categories, and many students often miss solutions and have incomplete discussions in the process of answering questions. Why on earth is this?

The concept of 1) is unclear, resulting in missing solutions: the concept of the knowledge learned is unclear and the understanding is not deep enough, resulting in incomplete answers. Example: a. Known (a-3) x >; 6. Find the value range of x B If y2+(k+2)y+ 16 is completely flat, find k.

2) Thinking patterns lead to missing solutions: In the daily problem-solving process, many students are often influenced by habitual thinking in their usual study, which leads to incomplete problem-solving. Example: A. If the height of isosceles trisection is higher than half of the waist length, find the bottom angle. B if the three sides of a right triangle are 3, 4 and c, the radius of circle c o is 5cm, and the lengths of two parallel chords are 6cm and 8cm respectively. Find the distance between two chords.

Second, what kind of ability should we pay attention to in learning mathematics?

1. Computing ability, or you will start to make mistakes on the first question in every exam!

2. Space imagination, otherwise the geometry problem will make you miserable!

3. Logical thinking ability, otherwise the later proof questions and deduction questions will make your life worse than death!

4. The ability to abstract practical problems into mathematical problems, otherwise application problems will kill you!

5. The ability to combine shapes and numbers and transform each other. This exam is the finale of every exam!

6. Ability to observe, experiment, compare, guess and summarize problems. Otherwise, every time you choose or fill in the blanks, you will find a rule in the last question.

7. Ability to study and discuss problems and innovate. Otherwise, you don't have to look at every additional question!