The reason why it is difficult to divide mathematics into one, two and three is that the characteristic topics of each mathematics volume are strengthened, and the generation of vector space and line of senior one mathematics volume is the key proposition; The first volume of senior two mathematics is the key proposition, and the first volume of senior three mathematics is the key proposition.
Judging from the data of previous years, it will be more difficult to take the entrance examination for Math I and Math II in 2020, but there is no need to worry about getting out of the sky. The average score of 16 has reached a new level, but it was a curse at that time ... the difficulty estimation is unknown, so we should analyze it dialectically. The difficulty of Math III should be slightly improved, and it should not change much, so there is no need to be too nervous.
Differential calculus of univariate function
Examination requirements
1. Understand the concepts of derivative and differential, understand the relationship between derivative and differential, understand the geometric meaning of derivative, find the tangent equation and normal equation of plane curve, understand the physical meaning of derivative, describe some physical quantities with derivative, and understand the relationship between function derivability and continuity.
2. Master the four algorithms of derivative and the derivative rule of compound function, and master the derivative formula of basic elementary function. Knowing the four algorithms of differential and the invariance of first-order differential form, you can find the differential of function.
If you understand the concept of higher derivative, you will find the higher derivative of a simple function.
4. The derivative of piecewise function, implicit function, function determined by parameter equation and inverse function can be obtained.
5. Understand and apply Rolle theorem, Lagrange mean value theorem, Taylor theorem, and Cauchy mean value theorem.
6. Master the method of using L'H?pital's law to find the limit of indefinite form.
7. Understand the concept of extreme value of function, master the method of judging monotonicity of function and finding extreme value of function with derivative, and master the method of finding maximum and minimum value of function and its application.
8. The derivative will be used to judge the concavity and convexity of the function graph (Note: in the interval, let the function have the second derivative. When f'' (x) >; 0? F(x)？ The figure is concave; When f "(x) < 0, f(x)? The graph is convex), the inflection point and horizontal, vertical and oblique asymptotes of the function graph will be found, and the function graph will be drawn.
9. Understand the concepts of curvature, circle of curvature and radius of curvature, and calculate curvature and radius of curvature.