Knowledge points of parallelogram in junior high school
1. Definition: Two groups of parallelograms with parallel opposite sides are called parallelograms.
2. The properties of parallelogram
(1) The opposite sides of the parallelogram are parallel and equal;
(2) The adjacent angles of the parallelogram are complementary and the diagonal angles are equal;
(3) diagonal bisection of parallelogram;
3. Determination of parallelogram
Parallelogram is an important content in geometry, and how to judge whether a parallelogram is a parallelogram according to its properties is a key point. Here are five ways to judge a parallelogram:
The first category: related to the opposite sides of a quadrilateral.
(1) Two groups of parallelograms with parallel opposite sides are parallelograms;
(2) Two groups of quadrangles with equal opposite sides are parallelograms;
(3) A group of quadrilaterals with parallel and equal opposite sides are parallelograms;
The second category: related to the diagonal of quadrilateral.
(4) Two groups of quadrangles with equal diagonal are parallelograms;
The third category: related to the diagonal of the quadrilateral.
(5) The quadrilateral whose diagonals bisect each other is a parallelogram.
Common inspection methods
(1) Use the properties of parallelogram to find the angle, line length and perimeter; (2) Find the range of one side of the parallelogram; (3) Examine some comprehensive calculation problems; (4) Prove that the angles are equal, the line segments are equal and the lines are parallel by using the properties of parallelogram; (5) Prove that the quadrilateral is a parallelogram by using the judgment theorem.
Misunderstanding reminder
(1) parallelogram has many properties, and it is easy to divide the diagonals into equal parts and mistake them for being equal. (2)? A set of parallelograms with parallel and equal opposite sides? Error record? A set of quadrangles with parallel opposite sides and a set of quadrangles with equal opposite sides are parallelograms? The latter is not a judgment theorem of parallelogram, but an isosceles trapezoid.
A summary of junior high school mathematics learning methods
1. Highlight one? Diligence? Word (overcome one? Idle? Word)
Mathematician Hua said: intelligence lies in learning, and genius lies in diligence?
? Diligence is a good training, and one point of hard work is only one point;
When we study, we should highlight a word of diligence and conquer one? Lazy? Word, how to stand out? Diligence? word
? Cong? Is there any diligent method? Literally speaking, we should be diligent in five aspects. Hard-working ears and eyes? (Listen with your ears, see with your eyes, and receive information)
? Careful? Discuss and answer questions instead of talking and digesting information? Hard-working? (Good at thinking, positive thinking, absorbing and storing information) Are the above four points enough? No. This word is still flawed. Supplement? Hands?
? Handy？ Practice more, not just doing problems, making courseware and making models.
Is such a person smart?
To improve learning efficiency to the greatest extent, we must first listen carefully in class (this is fundamental). Go home and review before you do the problem. I can't listen well in class and I can't digest my knowledge.
2. There are two main points to learn junior high school mathematics well, which should be highly valued:
To learn math well, one must (do) and the other must (use your head).
Thinking is to learn to observe and analyze problems, learn to think, don't do it as soon as you get the problem, find out what is the connection between the known and unknown imagination, and ask more why.
Doing it means practicing more and doing more problems, do you want it? Never leave your hand? (martial arts)? Don't leave your mouth? (singing)
Are you classmates? Never digress? These two points should be remembered.
? Use your head and hands to maximize the efficiency of your brain?
3. do it. Three times?
Have you ever heard of it? Failure is the mother of success? Ever heard that repetition is the mother of learning? Really?
Bacon (18-19th century British philosopher)? Knowledge is power?
? Repetition is the mother of learning?
How to repeat it? Let me explain it to you:
? Listen carefully in class and push your thinking.
? Watch after class?
? Before the exam?
4. Value? Fourth base?
Reading a textbook well is the main basis for teaching and senior high school entrance examination;
Take good notes, which is the crystallization of the teacher's years of experience;
Do a good job of cleaning up a problem set, which is to broaden the knowledge;
Take a class note, and everyone had better prepare a set of wrong questions.
Suggestions on Junior Middle School Mathematics Learning
One: The usual math study:
○ 1 preview carefully before class. The purpose of preview is to listen to the teacher better. Through preview, the mastery level should reach 80%. Listen to the teacher answer these questions with questions that you don't understand in the preview. Preview can also improve the overall efficiency of attending classes. Specific preview method: finish the topics in the book and draw the knowledge points. The whole process lasts about 10.
○2. Let math class combine with practice. It's no use just listening in math class. When the teacher asks the students to do calculus on the blackboard, they should also practice on the draft paper. You must ask questions you don't understand, or you may not do it if you encounter similar problems in the exam. When listening to the teacher, you must pay attention to the details, otherwise? A levee of a thousand miles, destroyed by an ant nest? .
○3 Review in time after class. After finishing your homework, sort out what the teacher said that day, and you can do extracurricular problems for about 25 minutes. You can choose the extracurricular books that suit you according to your own needs. The content of the extracurricular problem is probably today's class.
The fourth unit test is to test your recent study. In fact, the score represents your past. The key is to sum up and learn from each exam so that you can do better in the mid-term and final exams. Teachers often take exams without notice and do them in time? Review after class? .
Two. Mid-term and final math review:
You should book the usual unit test paper and do the wrong questions again. If the whole paper is not well done, you can make a copy and redo it. In addition to the test paper, you can also redo the wrong questions, problems and mistakes in your homework. In addition, you can make 2-3 final simulation papers by yourself.
Three. Math test skills:
If you want to get high marks, you can't lose points in choosing topics, filling in the blanks and calculating problems. You can't be absent-minded in math exams, and you can't think when you encounter problems? What if I didn't do well in the exam? In general, the final exam questions are those you don't know how to do, but you may suddenly understand. When you encounter such problems, you should be calm and make use of all the conditions given to you for analysis. For example, there are two blank clocks in this exam and several questions filled in at the end of the seventh grade last year. These conditions are of great help to your problem solving. During the mid-term and final exams, you should have enough time to slow down, not as soon as possible.
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