① See if you have a thorough understanding of the exam outline and exam instructions, grasp whether they are in place, and clarify "what to test" and "how to test".
(2) See if the exercises are staged, hierarchical and progressive, so as to reduce repetition and highlight key points.
(3) See whether the knowledge explanation, practice test and other contents are scientific and targeted, so as to be vague and clear, fill in gaps, be messy and coherent, and connect in isolation to form a systematic and organized knowledge framework.
(4) Whether the practical examination and the college entrance examination are on the right track, the difficulty is appropriate and the validity is good, and the emphasis is on the flexible application of the foundation and the mastery of the thinking method of analyzing and solving problems.
The second round of review must be clear about the key points, and we must know "what to test" and "how to test" in the college entrance examination. The following is a list of 7 topics /62 high-frequency test sites for college entrance examination mathematics for your reference.
7 required themes
Title 1: function and inequality, with function as the main line, and the synthesis of inequality and function is entitled test site.
Properties of functions: Focus on monotonicity, parity, periodicity and symmetry of functions. These properties are usually investigated together, sometimes for concrete functions and sometimes for abstract functions.
One-dimensional quadratic function: One-dimensional quadratic function is a big function that runs through the middle school stage. The middle school stage is mainly to understand some basic properties of it. In high school, it is more important to associate it with derivative. According to the opening direction of the parabola and the intersection position with the X axis, the order of the domain on the X axis is further discussed, so as to judge the positive and negative of the derivative, and finally get the monotonous interval, the extreme value and the maximum value.
Inequality: this kind of problem often appears in the problem of the establishment or existence of identities, and its essence is to find the maximum value of a function. Of course, regarding the solution of inequality and mean inequality, we need to master the basic knowledge points of these inequalities, and there is also a kind of difficult comprehensive problem, that is, the combination of inequality and sequence. It is necessary to master the scaling skills of several inequalities.
Theme 2: Series
Taking arithmetic geometric progression as the carrier, this paper investigates the general term formula, summation formula, the relationship between general term formula and summation formula of arithmetic geometric progression, and several common methods for finding the sum of general term formula and the first n terms. These knowledge points need to be mastered.
True question portal:
Topic 3: trigonometric function, plane vector, solving triangle
Trigonometric function is a compulsory knowledge point every year, which is less difficult and involves selection, filling in the blanks and solving problems. Sometimes, we will investigate the mutual transformation between formulas of trigonometric functions, and then find the monotonous interval or interval. Sometimes, it is a good tool to investigate the synthesis of trigonometric functions and solve triangles and vectors. Vector can well realize the transformation from number to shape, is a very important knowledge connection point, and can also be integrated with the difficult analytic geometry in mathematics.
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Topic 4: Solid Geometry
In solid geometry, three views are the necessary test sites every year, which mainly appear in selection and filling in the blanks. Solid geometry in the big topic mainly investigates the establishment of spatial rectangular coordinate system, and calculates spatial distance, line angle, dihedral angle and so on by vector method.
In addition, we also need to master the nature of pyramids and prisms. In the pyramid, we should focus on learning triangular pyramid, quadrangular pyramid and triangular prism, and master triangular prism and cuboid. The positional relationship between spatial straight line and plane should focus on proving verticality. Of course, the method of frequent inspection is indirect proof.
True question portal:
Topic 5: Analytic Geometry
The positional relationship between straight line and conic curve, the discussion of moving point trajectory, the determination of fixed value, fixed point and maximum value are hot issues in recent years. Analytic geometry is a recognized difficulty for candidates. Its difficulty lies in how to skillfully crack the known conditions and how to skillfully simplify complex operations. Of course, there are also some common methods and skills that students need to remember and experience.
Topic 6: Probability and Statistics, Algorithms, Complex Numbers
Calculations and complex numbers generally appear in multiple-choice questions, which are less difficult. Probability statistics focuses on students' reading ability and ability to obtain information, which is closely related to real life. Students need to learn to extract and translate information effectively. If you do this, the problem will be solved.
Topic 7: Polar coordinates, parametric equations and inequalities.
The topic of this part of the investigation is relatively simple, mainly in the topic selection, students need to memorize formulas.