Similar triangles's concept, the meaning of similarity ratio, the enlargement and reduction of drawing graphics.

Evaluation requirements:

(1) Understand similar concepts;

(2) Grasp the characteristics of similar figures and the significance of similarity ratio, and zoom in and out known figures as required.

Kaoxian 2

Proportional theorem of parallel lines and related theorems of parallel lines on one side of triangle

Examination requirements: Understand and apply the proportional theorem of parallel lines and line segments to solve some geometric proofs and geometric calculations.

Note: An edge judged to be parallel cannot be used as the corresponding line segment in the condition in proportion.

Kaoxian 3

Similar triangles's concept

Evaluation requirements: Based on the concept of similar triangles, master the characteristics of similar triangles and understand the definition of similar triangles.

Kaoxian 4

Similar triangles's Judgment, Nature and Application

Examination requirements: Master similar triangles's judgment theorem (including preliminary theorem, three judgment theorems, right triangle similarity judgment theorem) and its properties, and can apply it well.

Kaoxian 5

center of gravity of triangle shape

Assessment requirements: know the definition of center of gravity and apply it initially.

Kaoxian 6

Related concepts of vectors

Kaoxian 7

Addition and subtraction of vectors, multiplication of real numbers and vectors, linear operation of vectors.

Examination requirements: master the multiplication of real numbers and vectors and the linear operation of vectors.

Kaodian 8

The concept of triangle ratio of acute angle (sine, cosine, tangent and cotangent of acute angle), triangle ratio of 30 degrees, 45 degrees and 60 degrees.

Kaodian 9 Hao

Solving right triangle and its application

Evaluation requirements:

(1) Understand the meaning of solving right triangle;

(2) We can use acute angle complementation, acute angle triangle ratio and Pythagorean theorem to solve right triangle and some simple practical problems, especially we should skillfully use the value of triangle ratio of special acute angle to solve right triangle.

Test center 10

Function, its domain, function value and other related concepts, function representation, constant function

Evaluation requirements:

(1) Understand variables, independent variables, dependent variables, the concept of function, its definition domain and function value through examples;

(2) Know the constant function;

(3) Know the representation of functions and the meaning of symbols.

Test center 1 1

Solving the analytic formula of quadratic function by undetermined coefficient method

Evaluation requirements:

(1) Master the method of finding the resolution function;

(2) Using the undetermined coefficient method skillfully to find the resolution function.

Pay attention to the steps of solving the resolution function: primary design, secondary generation, three columns and four returns.

Roast point 12

Draw an image of a quadratic function

Evaluation requirements:

(1) Knowing the meaning of the function image, he will draw the function image by tracing points in the plane rectangular coordinate system.

(2) Understand the image of quadratic function and realize the idea of combining numbers with shapes;

(3) Can draw the general image of quadratic function.

Roast point 13

The image of quadratic function and its basic properties

Evaluation requirements:

(1) Establish the relationship among linear function, binary linear equation and straight line with intuitive images, and understand and master the properties of linear function;

(2) The vertex coordinates of quadratic function are obtained by matching method, and the related properties of quadratic function are described.

note:

(1) When solving problems, numbers and shapes are combined;

(2) The translation of quadratic function should be transformed into vertex.

Roast point 14

Concepts of central angle, chord and chord center distance

Examination requirements: clearly understand the concepts of central angle, chord and chord center distance, and make correct judgments with these concepts.

Roast point 15

The relationship between central angle, arc, chord and chord center distance

Examination requirements: clearly understand the relationship between central angle, arc, chord and chord center distance, and use this theorem to make preliminary geometric calculation and geometric proof on the basis of understanding the theorem and inference of the relationship between central angle, arc, chord and chord center distance.

Roast point 16

Vertical Diameter Theorem and Its Inference

Vertical diameter theorem and its inference is one of the most important knowledge points in circular plate.

Roast point 17

The positional relationship between straight lines and circles, and the relationship between circles and their corresponding quantities.

The positional relationship between a straight line and a circle can be reflected from the relationship with the number of intersections. In the positional relationship between circles, it is often necessary to discuss and solve them by classification.

Roast point 18

Related concepts and basic properties of regular polygons

Examination requirements: be familiar with the related concepts of regular polygons (such as radius, telecentricity, central angle, external angle and sum), and be able to skillfully use the basic properties of regular polygons for reasoning and calculation. In the calculation of regular polygons, right-angled triangles composed of radius, vertex and half length are often used, which transforms the calculation problem of regular polygons into the calculation problem of right-angled triangles.

Roast point 19

Draw regular triangles, quadrangles and hexagons.

Assessment requirements: Be able to use basic drawing tools to correctly make regular triangles, quadrangles and hexagons.

Roast point 20

Deterministic events and random events

Evaluation requirements:

(1) Understand the concepts of inevitable events, impossible events and random events, and know the relationship between certain events and inevitable events and impossible events;

(2) Being able to distinguish inevitable events, impossible events and random events in simple life events.

Test center 2 1

The probability of an event, the probability of an event

Evaluation requirements:

(1) Knowing that the possibility of various events is different, we can judge the possible events of some random events and arrange them in order;

(2) Know the meaning and symbol of probability, and know the probability range of inevitable events, impossible events and random events;

(3) Understand the differences and connections between the frequencies of random events, and estimate the probability of events according to the frequencies obtained from several experiments.

note:

(1) Before ranking the probabilities, we can express the probability of an event with words such as "it will definitely happen", "it is likely to happen", "it is likely to happen" and "it will definitely not happen".

(2) The probability of an event is a definite constant. Although the probability is uncertain, the approximate value is related to the number of tests. Only when there are enough tests can it be more accurate.

Roast point 22

Probability problem and probability calculation of events in equal possibility test

Evaluation requirements:

(1) Understand the concept of equal possibility test, and calculate the probability of simple events by using the event probability calculation formula in equal possibility test;

(2) Enumeration or drawing a "tree diagram" will be used to find the equal probability of possible events, and the ratio of regional areas will be used to solve the simple probability problem;

(3) form a preliminary understanding of probability, and understand simple probability issues such as opportunities and risks, fairness of rules, and rationality of decision-making.

note:

(1) Determine whether it is a possible event before calculation;

(2) In the process of finding the probability of equal possible events by enumeration or drawing a "tree diagram", all equal possible situations should be considered completely.

Roast point 23

Data collation and statistical charts

Evaluation requirements:

(1) Know the significance of data collation and analysis, and know the difference between general survey and sampling survey;

(2) Combining the contents of algebra and geometry, master the methods of sorting out data with line charts, fan charts and bar charts. , and get relevant information through charts.

Kao Dian 24

Significance of statistics

Evaluation requirements:

(1) Know the significance of statistics and the general research process;

(2) Understand the differences among individuals, groups and samples, and understand the thinking method of estimating groups with samples.

Roast point 25

Concept and calculation of average value and weighted average value

Evaluation requirements:

(1) Understand the concepts of average and weighted average;

(2) Master the calculation formulas of average and weighted average. Note: When calculating the average value and weighted average value, it is necessary to prevent errors such as data omission, repetition and misreading, so as to improve the accuracy of operation.

Roast point 26

Concept and calculation of median, mode, variance and standard deviation

Evaluation requirements:

(1) Know the concepts of median, mode, variance and standard deviation;

(2) Will find the median, mode, variance and standard deviation of a set of data, and can be used to solve simple statistical problems.

note:

(1) When a group of data has extreme values, the median can better reflect the average level of this group of data than the average;

(2) The data must be sorted before finding the median.

Roast point 27

Frequency, the meaning of frequency, draw frequency distribution histogram and frequency distribution histogram.

Evaluation requirements:

(1) Understand the concepts of frequency and frequency, and master the relationship between frequency, frequency and total;

(2) Can draw frequency distribution histogram and frequency distribution histogram, and can be used to solve related practical problems. Attention should be paid when solving problems: frequency and frequency can reflect the frequency of each object, but there are also differences: in the same problem, frequency reflects the absolute data of the frequency of the object, and the sum of all frequencies is the total number of experiments; Frequency reflects the relative data of frequent appearance of objects, and the sum of all frequencies is 1.

Roast point 28

Application of Median, Mode, Variance, Standard Deviation, Frequency and Frequency

Evaluation requirements:

(1) Understand the meaning calculation and its application of basic statistics (mean, mode, median, variance, standard deviation, frequency and frequency), and master its concepts and calculation methods;

(2) Correctly understand the characteristics of the sample data and the representation form of the data, and make judgments and predictions according to the calculation results;

(3) Multiple charts can be combined, the data provided by the charts can be comprehensively processed, and various statistical data can be used for reasoning and analysis, so as to study and solve related problems in real life, and then make reasonable solutions.