(1) Science: Understand the concepts such as the angle formed by straight lines of two different planes, the angle formed by straight lines and planes, and dihedral angles.
Liberal Arts: Understand the concepts of angle and dihedral angle formed by two straight lines with different planes, and understand and find the angle formed by straight lines and planes.
(2) Science: Coordinate method can be used to solve the positional relationship of simple lines, ellipses and parabolas.
Liberal Arts: Coordinate method can be used to solve problems such as the positional relationship between simple straight lines and parabolas.
(3) Science: Understand the corresponding relationship between the curve of the equation and the equation of the curve.
Liberal arts: none
(4) Science: space vector and solid geometry (whole block)
Liberal arts: none
(5) Science: the concept of (1) derivative and its geometric significance.
1. Understand the practical background of the concept of derivative.
2. Understand the geometric meaning of derivative.
Liberal arts: none
(5) Science: Can find the derivative of simple compound function (limited to f(ax+b)).
Liberal arts: none
(6) Science: No special tips.
Liberal arts: 1. Understand the relationship between monotonicity and derivative of function; Can use derivative to study monotonicity of function, and can find monotone interval of function (polynomial function is not more than three times).
2. Understand the necessary and sufficient conditions for the function to obtain the extreme value at a certain point; Will use derivatives to find the maximum and minimum values of the function (polynomial function does not exceed three times); Will find the maximum and minimum value of the function in the closed interval (polynomial function is not more than three times).
(7) Science: (3) Mathematical induction: Understand the principle of mathematical induction and use it to prove some simple mathematical propositions.
Liberal arts: none
(8) Science: counting principle
Liberal arts: block diagram