Answering skills of mathematics test sites in college entrance examination
The topics of functions, equations or inequalities should be directly considered before establishing their relationships. Firstly, the domain is considered, and then the trinity theorem is used. If there is a transcendental expression in the equation or inequality, the combination of numbers and shapes takes precedence.
In the face of elementary functions with parameters, we should grasp the invariance of parameters when learning. As a fixed point, the symmetry axis of quadratic function. Fill in the blanks with inequality questions and choose the special value method.
To find the value range of parameters, we should establish the equality or inequality about parameters, and use the definition range or value range of functions or solve inequalities. In the process of formula deformation, the method of separating parameters is optimized.
The problem of constant establishment or its opposite can be transformed into a maximum problem. Pay attention to the application of quadratic function, and flexibly use the maximum value on closed interval and the idea of classification discussion. Classification discussion should not be repeated or omitted.
The topic of conic curve must be defined first. For the intersection of a straight line and a conic curve, if it is related to the midpoint of a chord, the method of setting instead of finding the point difference is chosen; if it is not related to the midpoint of the chord, the method of Vieta's theorem formula is chosen. When using Vieta theorem, we should first consider whether it is the discriminant of quadratic sum root.