Notes on the ＂hot test sites＂ of college entrance examination mathematics, which are the key points of high school for three years, are recommended to be collected!
one
catalogue
oneImportant and difficult points in mathematics of college entrance examination:
Key points:Function, sequence, trigonometric function, plane vector, conic curve, solid geometry.
Difficulties:Function, sequence, conic.
2. College entrance examination mathematics test center:
(1) Set and proposition:The concept, operation, proposition and necessary and sufficient conditions of set.
(2) Inequality:Concept and nature, mean inequality, proof of inequality, solution of inequality, absolute inequality and application of inequality.
(3) Function:Definition of function, resolution function and domain, range and maximum, inverse function, three properties, zero point of function, function image, exponent and exponential function, logarithm and logarithmic function, and application of function.
(4) trigonometric ratio and trigonometric function:Related concepts, homonymous relation and induced formula, sum, difference, multiple, semi-formula, universal formula, auxiliary angle formula, evaluation, simplification, proof, image and properties of trigonometric function, application of trigonometric function, inverse trigonometric function, simplest trigonometric equation.
(5) Plane vector:Related concepts and elementary operation, linear operation, collinearity of three points, coordinate operation, quantity product, triangle "four centers" and its application.
(6) series:Related concepts of sequence, arithmetic progression, geometric progression, solution of general formula, summation of sequence, application of sequence, mathematical induction, limit and operation of sequence, infinite geometric progression.
(7) Equation of straight line and circle:Direction vector, normal vector, equation of straight line, positional relationship between two straight lines, linear programming, equation of circle, positional relationship between straight line and circle.
(8) Conic curve equation:
(9) solid geometry and space vector:Spatial straight line, straight line and plane, plane and plane, prism, pyramid, distance between sphere and sphere, three views and orthographic views of geometry, surface area and volume of geometry, space vector.
（10) arrangement and combination:Application problems of permutation and combination, binomial theorem and its application.
(oneone) plural:Concept and operation of complex number, calculation of square root and cube root of complex number, quadratic equation with real coefficient.
（12) matrix and determinant preliminary:Binary linear equations, basic operation of matrix, second-order determinant, third-order determinant, diagonal rule, cofactor and algebraic cofactor.
（1three) Preliminary algorithm:Flowchart, algorithm statement, conditional statement, loop statement.
2
main body
Chapter 5
Chapter 12 Conic Curve
(3) Parabolic equation
Chapter 14 Space Lines and Planes
Chapter 15 Simple Geometry
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