L10 Coordinate Geometry

Video Length

30 min

Est. L.H.

5-6 hr

Language

Chinese

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Learning Objectives

Work confidently with Cartesian coordinates in all four quadrants.
Calculate the distance between two points and find the midpoint of a line segment.
Understand, derive, and use different forms of the equation of a straight line
Determine gradients of lines, and use conditions for parallel and perpendicular lines.
Find the equation of a circle given its centre and radius, or from its general form by completing the square.
Solve problems involving the intersection of lines and circles, and find equations of tangents to circles.
Apply geometric properties of circles (e.g., tangent-radius perpendicularity, properties of chords) in a coordinate context.
Use basic vector operations (addition, subtraction, scalar multiplication) to solve simple geometric problems.

Practice:

Lesson Practice:

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Video lecture of L10 Coordinate Geometry