Conic curves perfectly combine geometry and algebra. Starting from the establishment of coordinate system by mathematician Descartes, with the help of pure algebraic solution, the concept and properties of curve and the positional relationship between straight line and conic curve are studied.

It is also the focus of the college entrance examination. Subjective and objective questions are essential, easy, medium and difficult. Therefore, what we need to do is:

(1) focuses on the definition and properties of ellipse, hyperbola and parabola. These are the cornerstones of conic curves, and the questions in the college entrance examination all involve these contents.

(2) Pay attention to the equation or trajectory of the curve, which is difficult to be the proposition object of the college entrance examination. Therefore, we should master the general methods: definition method, direct method, undetermined coefficient method, correlation point method, parameter method and so on. You can refer to the two books published by Hunan University Press, Essential Books for Senior High School Mathematics Examination and Dictionary of Senior High School Mathematics Knowledge Question and Answer, and compare them from the aspects of knowledge points, problem-solving methods and skills, hot spots in college entrance examination and proposition trends. .

(3) Strengthening the review of the positional relationship between straight lines and conic curves has always been a hot spot in the college entrance examination. This kind of problem often involves the nature of conic curve, the basic knowledge of straight line, the midpoint of line segment, chord length and verticality. Therefore, when we analyze problems, we use the idea of combining numbers with shapes to solve them without solving them, which strengthens the examination of various mathematical abilities.

(4) Pay attention to summarizing and refining mathematical thinking methods, optimize problem-solving thinking and simplify the problem-solving process.