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Coordinate Geometry

Orthogonal plane

• Basic concepts of orthogonal plane

• Orthogonal plane examples

• Coordinate example 1

• Coordinate example 2

The shortest line segment

• Find the shortest segment

• Find shortest distance from a point to a line

Area of a triangle

• Find area of the triangle AOC

Line equations

• Example 1 of line equation

• Example 2 of line equation

• Example 3 of line equation

• Find line equation from two points

• Find line equation given area

Point and circle relation

• Is a point inside, outside or on a circle?

• Find a point inside a circle or outside a circle

Line and circle relation

• Is a line intersecting, tangent or separate a circle?

Circle and circle relation

• Are two circles intersecting, tangent or separate?

Chord length

• Find chord length example1

• Find chord length example2

Circle and lines

• Find line equation example1

Find line equation when line tangent to a circle

• Find line equation if it tangent a circle and perpendicular to another line

• Example2 of line tangent to a circle and perpendicular to another line

• Line tangent to a circle and find equation of tangent

Line intersects a circle

• line intersects a circle example

• Two lines and a circle example

Find line equation when line intersects a circle

• Find line equation of the midpoint of the chord of the circle

Find circle equation

• Find circle equation when its center in a line

• Find equation of a circle that passes through three vertices of a triangle

• Find equation of a circle whose center is unknown

Circle tangent to a line

• Find circle equation when it tangent to a line and its center in another line

• Find circle equation given tangent line and another point on circle

• Find equation of a circle given radius and center in y-axis

Find analytical expression of a function from its graph

• Find analytical expression of inverse function and line function

• Find analytical expression of a quadratic function example1

• Find analytical expression of a quadratic function example2

• Find analytical expression of a quadratic function from its graph

Graph transformation

• Transform a linear function

• Transform a parabola

Circle symmetry

• Find circle equation when it and a given circle symmetry to the origin

• Find circle equation when two circles symmetry to a line

• Two circles symmetry to a line example2

• Find line equation when two circles symmetry to line

Trajectory of a moving point

• Find trajectory of midpoint of a moving segment

• Find trajectory of the midpoint of chord AB

Content includes: orthogonal plane, orthogonal plane examples, coordinate plane examples, find the shortest line segment, find area of the triangle, linear function, is a point inside a circle? is a point outside a circle? is a point or on a circle? is a line intersecting a circle? is a line tangent a circle? is a line separate a circle? are two circles intersecting to each other? are two circles tangent to each other? are two circles separate to each other? find the chord length, find the line equation, find line equation if it tangent to a circle and perpendicular to another line, find analytical expression of inverse function and line function, find analytical expression of a quadratic function.

Mathematics can be self-learning. By good understanding mathematics, you can successfully graduate from college. So, you need to set a goal and works for your future, make progress each day, and get confident about yourself. Do each example yourself will help deep understanding those concepts in these topics. Opportunity is always for those who are prepared.

The purpose of this website is to help students understand the topic of the mathematics talked in class. Help students improve the ability of self-studding. Hope students could listen carefully to the video and do the example your-self in order to find which concept to apply to solve this kind of problem, and review them later. Hope students could spend time on most important things such as, reading, writing, mathematics and science.

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