Algebra section:

1, set, simple logic test content: set, subset, intersection, complement, intersection and union.

2. permutation and combination: permutation order number formula, combination number formula, binomial theorem expansion.

3. Probability, probability of random events and probability of possible events.

Geometric part

1, the content of plane vector examination: vector, vector addition and subtraction, product of real number and vector, coordinate representation of plane vector, bisector of line segment, product of plane vector, distance between two points in plane and translation.

2. Function, mapping, monotonicity and parity of function, relationship between inverse function and image, logarithmic operation, logarithmic function, basic properties, proof and solution of inequality, inequality with absolute value.

3. Trigonometric functions, trigonometric functions, sine and cosine functions, tangent functions and their images in the unit circle, sine theorem and cosine theorem. Sequence: arithmetic, geometric series and their derivatives, the first n terms and formulas.

4. The equation of straight line and circle, the inclination angle and slope of straight line, the relationship between parallel line and vertical line in point-inclined type and two-point type and general type, and the distance from point to line.

5. Conic curve equation: geometric properties and parameter equation of ellipse, standard equation and basic properties of hyperbola and parabola. Straight line, plane, simple geometry, determination of straight line and plane, distance, triple vertical theorem.

Difficulty of one-stroke inspection:

First, compared with the ordinary college entrance examination, the single-recruit examination questions are relatively simple, the single-recruit cultural examination mainly focuses on the foundation, and the interview score is relatively easy.

Second, the types of organizational questions are different: the single-recruit examination is organized by the provincial examination institute, and each pilot single-recruit school independently proposes and organizes the test independently.

Third, the examination scope is different: single-recruit students only take four subjects: Chinese, mathematics, foreign language and comprehensive, and three students (vocational high school, technical secondary school and technical school) take the major, while the general college entrance examination subjects are four subjects, but they need to take the literature comprehensive or science comprehensive.