Qiu Chong, a senior three student of Qingbei Aid Team, found that there are 3,002 knowledge points in high school mathematics, but there are 259 test sites in the college entrance examination, including 84 core test sites. After repeated tests and applications, it covers all multiple-choice questions. There are more than 20 methods, and Xiao Bai, who has no foundation at all, can learn them at 1.
The compulsory course consists of five modules: compulsory 1: set, function concept and basic elementary function (meaning, antithesis and power function) compulsory 2: preliminary solid geometry and preliminary plane analytic geometry. Compulsory 3: algorithm preliminary, statistics, probability. Compulsory 4: Basic elementary function (trigonometric function), plane vector, trigonometric identity transformation. Compulsory 5: Solve triangles, sequences and inequalities.
Emphasis: function, sequence, trigonometric function, plane vector, conic, solid geometry, derivative difficulty: function, conic set, simple logic: concept and operation of set, simple logic, necessary and sufficient conditions; Functions: mapping and function, analytic function and domain, range and maximum, inverse function, three properties, function image, exponent and exponential function, logarithm and logarithmic function, function application; Sequence: related concepts of sequence, arithmetic progression, geometric sequence, sum of sequence, and application of sequence.
Trigonometric function: related concepts, same angle relation and inductive formula, sum, difference, multiplication, semi-formula, evaluation, simplification, proof, image and properties of trigonometric function, application of trigonometric function; Plane vector: related concepts and elementary operation, coordinate operation, scalar product and its application; Inequality: concept and nature, mean inequality, inequality proof, inequality solution, absolute inequality and inequality application;
Equation of straight line and circle: equation of straight line, positional relationship between two straight lines, linear programming, circle, positional relationship between straight line and circle; Conic curve equation: the positional relationship between ellipse, hyperbola, parabola, straight line and conic curve, trajectory problem, application of conic curve; Straight line, plane and simple geometry: space straight line, straight line and plane, plane and plane, prism, pyramid, sphere and space vector;
Permutation, combination and probability: permutation, combination, binomial theorem and its application; Probability statistics: probability, distribution table, expectation, variance, sampling, normal distribution; Derivative: the concept, derivation and application of derivative; Complex number: the concept and operation of complex number