Video lecture of L18 Coordinate Geometry
L18 Coordinate Geometry
Video Length
29 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.
Lesson Practices
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