Ⅰ.
Equation of a shape
1.
Plane coordinates
Concept Check / Basic Concept Questions
01.
distance between two points
02.
Utilizing the distance between two points
03.
Internal division point
04.
Utilization of internal division points
05.
center of gravity
06.
Utilizing the center of gravity
Descriptive questions
Highest difficulty problem

2.
Equation of a straight line
Concept Check / Basic Concept Questions
01.
Equation of a straight line (1)
02.
Equation of a straight line (2)
03.
Parallelism condition of two lines
04.
Condition for perpendicularity of two lines (1)
05.
Condition for perpendicularity of two lines (2)
06.
Application of the equation of a straight line
07.
Distance between a point and a line
Descriptive questions
Highest difficulty problem

3.
Equation of a circle
Concept Check / Basic Concept Questions
01.
Equation of a circle (1)
02.
Equation of a circle (2)
03.
Equation of a circle (3)
04.
The length of the string
05.
Positional relationship between circles and lines
06.
Tangent to a circle - point on the circle
07.
Tangent to a circle - a point outside the circle
08.
Equation of a circle - maximum, minimum
Descriptive questions
Highest difficulty problem

4.
Movement of shapes
Concept Check / Basic Concept Questions
01.
Parallel translation of points
02.
Parallel translation of a straight line
03.
Parallel translation of a circle
04.
Symmetry about a point
05.
Symmetrical translation about the x-axis and y-axis
06.
Reflection of a point along a straight line
07.
Mirror translation of a shape about a straight line
Descriptive questions
Highest difficulty problem

Ⅱ.
Sets and Propositions
1.
set
Concept Check / Basic Concept Questions
01.
The meaning of sets and inclusion relationships
02.
intersection
03.
union
04.
Complement and difference
05.
Set operations
06.
Operations on sets expressed as inequalities
07.
Operations on sets represented by Venn diagrams
08.
Set operation laws
09.
Number of subsets
10.
A set expressed with a new operation
11.
Number of elements in a set
12.
Number of elements in a set - Real Life
13.
Utilization of sets
14.
Determining the truth of a set whose elements are the spirits
Descriptive questions
Highest difficulty problem

2.
proposition
Concept Check / Basic Concept Questions
01.
proposition
02.
Truth and falsity of propositions - truth set
03.
Truth or Falsehood of a Proposition - When There Are Three Conditions
04.
The truth or falsity of propositions containing 'all' or 'some'
05.
Converse and contrapositive of a proposition
06.
Necessary and sufficient conditions
07.
A constant that makes a necessary condition, a sufficient condition, or a necessary and sufficient condition
08.
Proof using the law of reductio ad absurdum and contrapositive
09.
Proof of inequality
10.
absolute inequality
11.
Relationship between arithmetic mean and geometric mean
12.
Utilizing the relationship between the arithmetic mean and the geometric mean
Descriptive questions
Highest difficulty problem

Ⅲ.
Functions and Graphs
1.
function
Concept Check / Basic Concept Questions
01.
Definition of a function
02.
Same functions and graphs
03.
Various functions
04.
Number of functions
05.
composite function
06.
Graph of composite function
07.
Inverse function
08.
Application of composite functions and inverse functions
09.
Applications of Composite Functions and Inverse Functions - Graphs
10.
Applications of Functions - Equations and Inequalities
11.
Newly defined functions
12.
Properties of functions that satisfy specific conditions
Descriptive questions
Highest difficulty problem

2.
Rational expressions and rational functions
Concept Check / Basic Concept Questions
01.
Yurisik's calculation
02.
Utilization of glass
03.
Application of the formula - Number substitution
04.
rational function
05.
Parallel translation of rational functions
06.
Quadrant through which the graph of a rational function passes
07.
Symmetry of the graph of a rational function
08.
Application of rational functions
09.
Applications of rational functions - composite functions, inverse functions
Descriptive questions
Highest difficulty problem

3.
Irrational expressions and irrational functions
Concept Check / Basic Concept Questions
01.
calculation of irrationality
02.
Use of the herd method
03.
Irrational function
04.
Graph of an irrational function
05.
Maximum and minimum values ​​of irrational functions
06.
The relationship between the graph of an irrational function and the position of a straight line
07.
Application of irrational function graphs
08.
Irrational functions, composite functions, and inverse functions
Descriptive questions
Highest difficulty problem

Mock tests for each unit to prepare for school exams
1st Ⅰ-1.
Plane coordinates
2nd time Ⅰ-2.
Equation of a straight line
3rd time Ⅰ-3.
Equation of a circle
4th Ⅰ-4.
Movement of shapes
5th Ⅱ-1.
set
Episode 6 II-2.
proposition
7th Ⅲ-1.
function
Episode 8 III-2.
Rational expressions and rational functions
Episode 9 III-3.
Irrational expressions and irrational functions