catalogue
Setting up knowledge points in senior high school mathematics
High school mathematics learning methods
Answering skills in senior high school mathematics exam
Setting up knowledge points in senior high school mathematics
1.
1) Set: set some specified objects together to form a set. Each object is called an element.
Note: ① Set and its elements are two different concepts, which are given by description in textbooks, similar to the concepts of points and lines in plane geometry.
② The elements in the set are deterministic (A? A and a? A, the two must be one), different from each other (if a? A, b? A, then a≠b) and disorder ({a, b} and {b, a} represent the same set).
③ A set has two meanings: all eligible objects are its elements; As long as it is an element, you must sign the condition.
2) Representation methods of sets: enumeration method, description method and graphic method are commonly used.
3) Classification of sets: finite set, infinite set and empty set.
4) Common number sets: n, z, q, r,
2. Concepts such as subset, intersection, union, complement, empty set and complete set.
1) subset: if there is x∈B for x∈A, then A B (or ab);
2) proper subset: A B has x0∈B but x0 A；; Marked as b (or, and)
3) Intersection: A∩B={x| x∈A and x∈B}
4) and: A∪B={x| x∈A or x∈B}
5) Complement set: cua = {x | x but x ∈ u}
Note: ①? A, if A≦? And then what? a；
(2) If, then;
③ If and, then A=B (equal set)
3. Make clear the relationship between set and element, set and set, master relevant terms and symbols, and pay special attention to the following symbols: (1) and? Difference; (2) the difference between and; (3) The difference between and.
4. Several equivalence relations about subsets
①A∩B = A A B； ②A∪B = B A B； ③A B C uA C uB；
④A∩CuB = empty set cuab; ⑤CuA∪B=I A B .
5. The essence of intersection and union operations
①A∩A=A，A∩？ = ? ，A∩B = B∩A； ②A∪A=A，A∨？ =A，A∪B = B∪A；
③Cu(A∪B)= CuA∪CuB，Cu(A∪B)= CuA∪CuB；
6. Number of finite subsets: If the number of elements in set A is n, then A has 2n subsets, 2n- 1 nonempty subset and 2n-2 nonempty proper subset.
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High school mathematics learning methods
1, preview before class can improve the pertinence of listening.
The difficulty found in the preview is the focus of the lecture; You can make up the old knowledge that you don't have a good grasp in the preview to reduce the difficulties in the class; It is helpful to improve your thinking ability. After previewing, comparing and analyzing what you understand with what the teacher explains can improve your thinking level. Preview can also cultivate your self-study ability.
2. Science in the process of listening to lectures.
First of all, make material and spiritual preparations before class, and don't leave books and books in class; Before class, don't do too much exercise or read books, play chess or have a heated debate. In order to avoid being out of breath after class, or unable to calm down.
The second is to concentrate on class.
Concentration is to devote yourself to classroom learning, from ear to ear, from eye to heart, from mouth to hand.
Listening: Listen attentively, listen to how the teacher lectures, analyzes and summarizes, and listen to the students' questions and answers to see if they are enlightening.
Eye-catching: while listening to the class, read the textbooks and blackboard books, watch the teacher's expressions, gestures and other actions, and accept the ideas that the teacher wants to express vividly and profoundly.
Heart orientation: think hard, keep up with the teacher's mathematical thinking, and analyze how the teacher grasps the key points and solves problems.
Mouth-to-mouth: Under the guidance of the teacher, take the initiative to answer questions or participate in discussions.
Reach: Draw the key points of the text on the basis of listening, watching, thinking and speaking, and write down the main points of the lecture and your own feelings or opinions with innovative thinking.
If you can achieve the above five goals, your energy will be highly concentrated, and all the important contents learned in class will leave a deep impression on your mind.
Pay special attention to the beginning and end of the lecture.
The beginning of the lecture is generally to summarize the main points of the last lesson and point out the content to be talked about in this lesson, which is a link to link old knowledge with new knowledge. Finally, it is often a summary of the knowledge in a class, which has a strong generality and is an outline for mastering the knowledge and methods in this section on the basis of understanding.
4. We should carefully grasp the logic of thinking, analyze the thinking and thinking methods of solving problems, and stick to it, and we will certainly be able to draw inferences from others and improve our thinking and problem-solving ability.
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Answering skills in senior high school mathematics exam
Master time
Because of the basic skills of the senior high school entrance examination, we should pay attention to quick and ingenious problem-solving methods and complete all the fill-in-the-blank questions in about 30 minutes, which is the key to winning high marks. In normal times, you must ask yourself to fill in the blanks in one minute. Solving the problem of filling in the blanks at high speed by mathematical thinking.
Easy first, then difficult.
So just making choices, filling in the blanks and the first three big questions are not comprehensive enough. Because the easy part of the "three difficulties" problem behind is easier than the basic part in front, you must be determined to win. When reviewing, according to your own situation, if you have a good foundation, try to choose first, and fill in the first three big questions to get full marks. Then, improve the ability to answer the "three difficult" questions and strive for 20 to 30 points for the "three difficult" questions. In this way, your total score can exceed 130 and sprint to 145.
Score as many points as possible for the last three questions.
The second paragraph is the first three questions, and the score is less than 40 points. So the total score of the first two stages is about 1 10. The third paragraph is the final "three difficulties" question, with a score of less than 40 points. The "three difficulties" are not all difficult. The score of difficulty questions is only 12 to 18, and the average score of each question is only 4 to 6. First of all, we should get 12 to 20 points in the "three difficulties" problem, and the most difficult step is to fight for it. The last three questions are not just the first question. We should guess the grading standard from front to back according to the steps and strive for high scores.
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