Set and Simple Logic (4 pieces)
Operation between 1. element and set
2. The relationship between the four propositions
3. Full name and proper name proposition
4. Necessary and sufficient conditions
Function and derivative (13)
1. Compare dimensions
2. Piecewise function
3. Function periodicity
4. Function parity
5. Monotonicity of functions
6. Zero point of function
7. Use derivative evaluation
8. Calculation of definite integral
9. Derivative and tangent equation of curve
10. Maximum and extreme values
1 1. Find the parameter range.
12. Prove the inequality
13. Mathematical induction
Series (4)
1. sequence evaluation
2. Prove arithmetic and geometric series.
3. The formula for finding the top of recursive sequence
4. The sum of the first n items in the sequence
Trigonometric function (4)
1. evaluation simplification (basic relation of trigonometric functions with the same angle)
2. Images and properties of sine function and cosine function (function image transformation, function periodicity, function parity, function monotonicity)
3. Simplification of sine, cosine and auxiliary angle formulas of double angles.
4. Solving triangles (sine and cosine theorem, area formula)
Plane vector (3)
1. Modulus length and vector product
2. Calculation of included angle
3. Determination of vertical and parallel vectors
Inequality (3)
Solution of 1. inequality
2. The application of basic inequality (simplification, proof, maximum)
3. Simple linear programming problem
Equation of Line and Circle (3)
1. Angle and slope of straight line
2. Conditions for two straight lines to be parallel and vertical
3. Distance from point to straight line
Conic curve (4)
1. Find the standard equation
Step 2 find eccentricity
3. Chord length
4. The positional relationship between straight line and conic curve
Simple geometry of space (3 pieces)
1. Determination of straightness and parallelism
2. Calculation of included angle and distance
3. Three views (volume, surface area and view judgment)
Permutation, combination and binomial theorem (3)
1. Classification counting principle and step-by-step counting principle
2. Common methods of permutation and combination
Probability and Statistics (6)
1. sampling method
2. Histogram of frequency distribution
3. Classical probability and geometric probability
4. Conditional probability
5. Distribution table, expectation and variance of discrete random variables.
6. Linear regression equation and independence test
Complex number (3)
Four operations of 1. complex number
2. Modulus length of complex number and complex number of yoke
3. Location of points in complex numbers and complex planes
Block diagram (3 blocks)
1. Calculate the result according to the process.
2. Judgment of cyclic structural conditions
3. Reading program language
Polar coordinates and parametric equations (2)
1. Conversion between polar coordinates and rectangular coordinates
2. Simplification of parameter equation
Lecture on inequality (2)
1. Solving Inequalities by Absolute Value (Zero Segment Method)
2. Using inequality to find the parameter range.