1, judging from the nature of known ideas and proof ideas (solving the problem of solid geometry proof)

2. Insist on conditions and associate ideas (solving mathematical problems)

3. Three languages of mathematics: graphic language, written language and symbolic language.

4. What is missing and what to look for; What to look for and what to seek (solving solid geometry problems)

5, see the midpoint, want to median.

6. Sketch, find ideas, use properties and simplify operations (solving analytic geometry problems)

7. Slow in examining questions and quick in doing them.

8. There are three places where the word "hypothesis" is used in solving math problems in middle schools: existential problems, reduction to absurdity and mathematical induction.

9. Solving mathematical problems should be changed from "meeting but not right, right but not complete" to "meeting but right, right and complete"

10, several major angles in middle school mathematics: line angle, line angle and plane angle in solid geometry; The inclination angle of a straight line, the included angle between two straight lines and the included angle between straight lines in analytic geometry; Amplitude angle and principal value of amplitude angle in complex number; Polar angle in polar coordinates

1 1, the minority is subordinate to the majority. Truth is always in the hands of a few people. (used to adjust the classroom atmosphere, the former is used for most students to answer correctly, and the latter is used for a few students to answer correctly)

13, structure determines nature (the substructure characteristics of mathematical formulas often determine the method of solving problems, for example, when solving the problem of function value domain, the structural characteristics of resolution function determine the method of evaluation domain. I heard this sentence in a chemistry class.

14, Mathematics is not for attending the meeting (a special physics teacher in Beijing once said that physics is not for attending the meeting, emphasizing learning by doing)

15, when you do it, you have experience, you get something from it, and you get something from it, so you can improve it (you should pay attention to hands-on learning mathematics).

16, the role of mathematical problems: consolidate knowledge, deepen theory, train methods, accumulate experience, accumulate literacy, optimize quality, cultivate ability and develop thinking.

17, tailored and cast according to the topic.

18, goal determination method (you should have a sense of goal in solving problems, always stare at the goal in the process of solving problems, and don't deviate from the direction of solving problems)

19, writing must be well-founded and words must be reasonable (mainly to explain the topic expression)

20, life is informal, and learning must be moderate.

2 1, give the endpoint a "care" (endpoint love)

22, knowledge is the method (mathematical problem solving methods often come from knowledge itself, such as solving inverse function problems, series summation and so on. Pay attention to accumulation)

Once a good habit is formed, it is an invisible force.

24. On practice: Only what is understood can be better discovered.

25, study and study, ask as soon as you learn, don't learn and don't ask, it must be stupid.

26. Steps to solve math problems: read 2.3, draw 4, think 5 and count 6.

27. The first thing to do in solving mathematical problems is to understand the meaning of the problems. As the saying goes, knowing each other is invincible.

28. To some extent, solving math problems is simplification.

29. Solving mathematical problems is the process of information extraction, transformation, processing and transmission.

30. Carry out the operation to the end!

3 1, a man will fight!

32. Men should strive for self-improvement!

33. Go and fight with you!

34. XXX, run! ! !

35. In order to leave no regrets (blanks) in life, exercise books will not be left blank. Write full life!

36. You are different from others.

37. Domain name priority rules

38. China's Chinese characters are good, as the name implies (learn mathematical concepts and pay attention to understanding the literal meaning).

39. Final note on solving problems: Don't get carried away (emphasize the last 20 seconds of solving problems)

40, the sun is not a day! Happy every day! Learning is not a hard thing, besides, you have to learn hard and enjoy it. Why not learn if you are happy? )

4 1, closely linked to conditions, associative thinking (emphasizing the strategy of examining questions and planning problems)

42. Pay attention to stop-and-go when doing problems (especially those with intermediate or above difficulty), just like walking and traveling, look up (emphasize the goal consciousness of solving problems and avoid blindness).

43, the master led the door, practice in the individual (emphasizing personal understanding, learning mathematics is to "realize")

44. Mathematical problem-solving requirements: accurate calculation, standardized drawing, strict reasoning and clear expression.

45. Mathematical answer sheet requirements: the answer sheet is standardized (i.e. 44 items), with neat paper, clear handwriting, clear organization and distinct layers.

46. Proverbs: the height determines the vision, the angle changes the concept, and the scale grasps life.

The stage is as big as the heart.

As far as thought can go, action can go.

Learning sharpens life, and the college entrance examination changes fate.