Mathematics in adult college entrance examination is quite difficult for most candidates, and the focus of review is unknown. The following is a summary of the knowledge points of adult college entrance examination mathematics compiled by me for your reference only. Welcome to read.

Summary of Mathematical Knowledge Points in Adult College Entrance Examination Part I Algebra

(A) set and simple logic

1. Solve the meaning and representation of set, understand the concepts and representation of empty set, complete set, subset, intersection, union set and complement set, understand the meaning of symbols related to set, and use these symbols to represent the relationship between sets and between elements and sets.

2. Understand the concepts of sufficient conditions, necessary conditions and necessary and sufficient conditions.

(2) Function

1, understand the concept of function, and you will find the domain of some commonly used functions.

2. Understanding the concepts of monotonicity and parity of functions will judge the monotonicity and parity of some common functions.

3. Understand the concepts of linear function and inverse proportional function, master their images and properties, and find their analytical expressions.

4, understand the concept of quadratic function, grasp its image and properties and function y=ax? +bx+c(a≠0) and

y=ax？ (a≠0)； Can find the analytic formula and the maximum or minimum value of quadratic function, and can use the knowledge of quadratic function to solve related problems.

5. Understand the concept of fractional exponential power, master the operational properties of rational exponential power, and master the concept, image and properties of exponential function.

6. Understand the concept of logarithm, master the operational properties of logarithm, and master the concept, image and properties of logarithmic function.

(3) Inequality and Inequality Group

1, if you understand the properties of inequalities, you will solve linear inequalities of one variable, which can be transformed into linear inequalities of one variable and solve quadratic inequalities of one variable. Will represent the solution set of an inequality or a set of inequalities.

2. It will solve absolute inequality, such as 1ax+b 1≥c and1ax+b1≤ c. ..

4) Series

1, understand the concept of sequence and the sum of its general terms and the first n terms.

2. Understand the concepts of arithmetic progression and arithmetic mean term, and flexibly use arithmetic progression's general term formula, the first n terms and formulas to solve related problems.

3. To understand the concepts of proportional geometric progression and mean term, you will use geometric progression's general term formula, the first n terms and formulas to solve related problems.

(5) Derivative products

1, understand the concept of derivative and its geometric significance.

2. Master the derivative formulas of functions y=c(c is a constant) and y=c(n∈N+), and find the derivative of polynomial function.

3. Understand the concepts of maximum, minimum, maximum and minimum, and use derivatives to find the maximum and minimum of monotone interval, polynomial function and closed interval.

4, will find the tangent agenda of the curve, will use derivatives to find the maximum and minimum of simple practical problems.

The second part trigonometric function

(A) trigonometric functions and related concepts

1, understand the concept of arbitrary angle, and understand the concepts of quadrant angle and congruent corner.

2. Understand the concepts of radian, radian and angle conversion.

3. Understand the concept of arbitrary trigonometric function, the symbol of trigonometric function in each quadrant and the trigonometric function value of special angle.

Transformation of trigonometric function

1, master the basic relations and inductive formulas between trigonometric functions of the same angle, and use them to calculate, simplify and prove.

2. Master the sine, cosine and tangent formulas of the sum, difference and double angle of two angles, and use them for calculation, simplification and proof.

(3) Images and properties of trigonometric functions

1, master the images and properties of sine function and cosine function, and use the properties of these two functions (domain, range, periodicity, parity and monotonicity) to solve related problems.

2. Understand the image and properties of tangent function.

3. Find the period, maximum value and minimum value of the function y = asin (ω x+Ф).

4. The angle will be calculated by the known trigonometric function value and expressed by the symbols arcsinx, arccosx and arctanx.

(4) Solving triangles

1, master the angular relationship of right triangle, and use them to solve right triangle.

2. Master sine theorem and cosine theorem, and use them to solve oblique triangles.

Part III Plane Analytic Geometry

(A) the plane vector

1. Understand the concept of vector, master the geometric representation of vector, and understand the concept of * * * line vector.

2. Master the addition and subtraction of vectors, master the multiplication of vectors and numbers, and understand the conditions of * * * lines of two vectors.

3. Understand the decomposition theorem of vectors.

4. Master the vector product operation, understand its geometric meaning and its application in dealing with length, angle and vertical problems. 4. Understand the condition of vertical vector.

5. Understand the concept of vector rectangular coordinates and master the coordinate operation of vectors.

6. Master the distance formula between two points on the plane, the midpoint formula of the line segment and the translation formula.

(2) Straight line

1. Understand the concepts of inclination and slope of a straight line, and you will find the slope of the straight line.

2. Know how to solve linear equations and use linear equations to solve related problems.

Understand the conditions of parallelism and verticality of two straight lines and the distance formula from point to straight line, and use them to solve related problems.

(3) Conic curve

1. Understand the relationship between curve and equation, and find the intersection of two curves.

2. Master the standard equation and general equation of a circle and the positional relationship between a straight line and a circle, and use them flexibly to solve related problems.

3. Understand the concepts of ellipse, hyperbola and parabola, master their standard equations and properties, and use them to solve related problems.

The fourth part is probability statistics.

(1) permutation and combination

1. Understand the principle of classified counting and step-by-step counting.

2. Understand the meaning of permutation and combination, and use the calculation formula of permutation number and combination number.

3. It can solve the simple application problem of permutation and combination.

(2) Preliminary probability

1. The importance of understanding random events and their probabilities.

2. In order to understand the significance of the probability of equal possibility events, we will use the counting method and the basic formula of permutation and combination to calculate the probability of some equal possibility events.

3. In order to understand the meaning of mutually exclusive events, we will use mutually exclusive events's probability addition formula to calculate the probability of some events.

4. In order to understand the meaning of independent events, we will use the probability multiplication formula of independent events to calculate the probability of some events.

5. Calculate the probability of the event happening k times in n independent repeated tests.

Extended reading: math scoring skills for adult 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: ~ ~ ~