What are the compulsory knowledge points of adult college entrance examination mathematics? Chapter 65438 +0 Set and Simple Logic
Knowledge points 1: intersection, merger and complement.
1, intersection: the intersection of set A and set B is A∩B, and the common elements of sets A and B are taken.
2. union: the union of set a and set b is marked as A∪B, and all elements of set a and set b are taken.
3. Complement set: given the complete set U, record the complement set of set A as CuA, and take all elements in U that do not belong to A..
Analysis: the intersection or union of sets mainly appears in the form of enumeration or inequality. Knowledge point 2: simple logic.
Concept: In a mathematical proposition, it is often composed of condition A and conclusion B, which is written as "If A holds, then B holds". If it is a true proposition, then A can deduce B and record it as "A B"; If it is a false proposition, then A can't deduce B, and it is recorded as "A B".
Question type: What are the conditions for judging whether Proposition A is Proposition B, starting from two aspects:
① Sufficient conditions to see whether A can deduce B ② Necessary conditions to see whether B can deduce A..
A, if A is B, then A is the necessary and sufficient condition of B, if A is B, then A is the necessary and sufficient condition of B, and if A is B, then A is the necessary and sufficient condition of B..
D, if A is B, then A is neither a sufficient condition nor a necessary condition for B.
Chapter 2 Inequality and Unequal Groups
Knowledge point 1: the essence of inequality
1. Add or subtract a number on both sides of the inequality, and the direction of the inequality remains unchanged. 2. Both sides of the inequality are multiplied or divided by a positive number, and the direction of the inequality remains unchanged. 3. if both sides of the inequality are multiplied or divided by a negative number, the direction of the inequality will change (">" change ")
Analysis: The same addition or multiplication on both sides of inequality is mainly used to solve linear inequality or quadratic inequality. Knowledge point 2: unary linear inequality.
1. Definition: An inequality with only one unknown number and the best degree of the unknown number is once is called a unary linear inequality.
2. Solution: Move items and merge similar items (move unknown items to the left and constant items to the right, and the sign will change after moving).
3. For example: 6x+8 & gt；; 9x-4, looking for X? Move the term of x to the left and the constant term to the right to become 6x-9x >；; -4-8, merging the same kind
-3x & gt； -12, x < 4 (remember to change the symbol).
Knowledge point 2: One-dimensional linear inequality group
4. Definition: An inequality group consisting of several linear inequalities is called a linear inequality group.
5. Solution: Find the value of each unary linear inequality, and finally find the intersection (common part) of these unary linear inequalities.
Knowledge point 3: Inequality with absolute value
1. Definition: Inequalities with absolute sign, such as |x|a inequality and its solution.
2. The solution of simple absolute inequality:
| x | >； The solution set of a is {x | x >；; A or x < -a}, greater than both sides, greater than small. |x|
3. The solution of complex absolute value inequality:
| ax+b | & gt； C is equivalent to solving inequality ax+b & gt；; C or ax+b
Analysis: it is mainly clear whether to take the middle or the two sides, the middle is connected, and the two sides have the "or" knowledge point 5: a quadratic inequality.
1. Definition: An inequality that contains an unknown and the highest degree of the unknown is quadratic is called unary quadratic inequality. Such as: ax2 bx c 0 and AX2BXC0 (A > 0))
2. solution: find axbxc0 (a >; 0 as an example)
3. Step: (1) Shilling AX BX C 0 Find X (three methods: finding root formula, cross multiplication and matching method).
(2) After finding x, take both sides of the value greater than, and the value greater than is less than the value less than; If it is less than the middle, you can get the answer. Note: When a: 0, use the above steps to solve.
Expand reading: improve math methods after exams 1. Multiple choice questions (5 points for each question, 17 questions, ***85 points)
1. Generally speaking, the first few questions are easy. You can put four options in the question to see which answer matches and which is the correct answer.
2. According to statistics: 17 multiple-choice questions, the number of times that any option of ABCD becomes the correct answer is 3-5 times. So, students:
(1) You can't write a single question, you must answer all the questions. You can't write all the same answers, so you won't get any points.
(2) I can only write 1-2 questions, and the rest 15 questions have different answers, so I can get at least 20 points. For example, if you can write a question and choose a question, you can write C or D for the question that 15 doesn't know how to write it.
(3) Know how to write more than three questions, see which option of ABCD appears less frequently in the answers you know how to write, and then write that option on the questions you don't know how to write, so you can get at least 30 points. For example, you know how to write six questions, and the answers are all AAABBC. If you don't know how to write it, you can write D, because the number of times A becomes the correct answer is generally no more than five questions. Now you have written three questions to choose A. From the perspective of probability, A appears twice at most, while D appears 3-5 times.
Fill in the blanks (4 points for each question, 4 questions, *** 16 points)
It is generally possible that the answer to one of the questions is 0, 1, 2. In fact, you can't write every question. You can write 0 or 1 or 2 for all four questions, but the probability of writing 1 is higher than that of writing 0 and 2. If you have enough time, you can try to put 0, 1 2 in a question whose answer may be an integer. If you are lucky, you can answer one or two questions correctly.
Iii. Answering questions (49 points)
Don't give up the score of the solution if you don't understand it at all. The characteristic of the solution is to solve it layer by layer and finally get the answer. Steps to solve the problem. For example:
① Solution: According to the meaning of the question, you can get ~ ~ ~ in the question (write the known data).
② Formula ~ ~ ~ ~
③ Calculated ~ ~ ~
④ Answer: ~ ~ ~
For some topics, we can change the formula given in the topic as much as possible and write down the steps we want. We've all thought about it anyway. If you don't write for nothing, you may score if you write.