How many types of math problems are there in the college entrance examination?

The six major questions of mathematics in the college entrance examination are:

1, trigonometric function, vector, trigonometric solution

(1) trigonometric function drawing, properties, trigonometric identity transformation, sum and difference formula.

(2) Instrumentality of vector (plane vector background).

(3) Sine theorem, cosine theorem, solving triangle background.

(4) Comprehensive questions and trigonometric questions are generally "packaged" with plane vectors, paying attention to the intersection of knowledge, or organically combining trigonometric functions with solving triangles.

Attach importance to the exploration of properties under trigonometric identity transformation and graphic image transformation.

2. Probability and statistics

(1) Classical probability.

(2) stems and leaves.

(3) Histogram.

(4) Regression equation.

(5) Probability distribution, expectation, variance, permutation and combination. Probability questions are close to life and reality. It is not difficult to examine the probability calculation formulas of possible events, mutually exclusive events and independent events.

3. Solid geometry

(1) parallel.

(2) vertical.

(3) Angle.

(4) Using three views to calculate the area and volume.

(5) Traditional geometric methods can be used, rectangular coordinate system can also be established, and normal vectors can be used.

Step 4: Order

(1) arithmetic progression, geometric progression and recursive series are hot spots, and the general terms of series, the sum of the first n terms of series and their relationship are discussed.

(2) There are great differences between arts and sciences. Science mostly appears in the final title, and science pays attention to mathematical induction.

(3) Dislocation subtraction and splitting term summation.

(4) application questions.

5. Conic curve (ellipse) and circle

(1) ellipse as the main line, emphasizing the positional relationship between conic curve and straight line, highlighting Vieta theorem or difference method.

(2) The equation of circle and the positional relationship between circle and straight line.

(3) Pay attention to the combination of ellipse and circle, ellipse and parabola.

6. Functions, Derivatives and Inequalities

(1) function is the main body of this question: cubic function, exponential function, logarithmic function and their compound functions.

(2) Function is the core content of examination. Combined with derivative, the basic problems are to judge the monotonicity of function, find the maximum value (extreme value) of function, find the tangent equation of curve, explore the range of parameter values and the distribution of roots, and discuss the classification and algebraic reasoning of parameters.

(3) Using the basic inequality and the properties of hook function.