Definition and properties of 1. function: Understand the basic concepts of function, including its definition domain, range and image. Master the parity, monotonicity and periodicity of functions.
2. Basic elementary functions: familiar with common basic elementary functions, such as power function, exponential function, logarithmic function, trigonometric function, etc. Understand their image characteristics and attributes.
3. Concept and nature of limit: Knowing the definition of limit can calculate the limit of common functions. Master the nature of limit, such as four algorithms, pinch theorem and so on.
4. Infinity and infinity: Understand the concepts of infinitesimal and infinity, and be able to compare sizes and perform four operations.
5. The concept and nature of continuity: Mastering the definition of continuity can judge the continuity of a function. Understand the properties of continuous functions, such as mean value theorem and maximum value theorem.
6. Derivative and differential: Understand the definition and properties of derivative, and be able to calculate the derivative of common functions. Master the concept and application of differential.
7. Integral and definite integral: Knowing the definition and properties of integral, we can calculate the integral of common functions. Master the concept and application of definite integral.
8. Series: Knowing the concept and properties of series, we can judge the convergence and divergence of series. Master the summation formula of common series.
These are some important knowledge points related to function, limit and continuity. Candidates should focus on these contents in the preparation process, and be able to use them flexibly to solve practical problems.