Mathematical Topics:


Analytic Geometry 1

Subject 1: Points of a plane, coordinates, slope through two points, midpoint, distance between two points.

  • Level 1 : Identify a point and its coordinates
  • Level 2 : Find the midpoint of a segment
  • Level 3 : Find an endpoint of a segment
  • Level 4 : Find the slope of a line passing through two points
  • Level 5 : Check if three points are on the same line
  • Level 6 : Find the distance between two points

Subject 2: The line y = ax + b, the coefficients, forming an equation.

  • Level 1 : Implicit and explicit equation
  • Level 2 : The point-slope equation of a line
  • Level 3 : Equation of a line through two points
  • Level 4 : Equation of a line parallel to a given line
  • Level 5 : Equation of a line perpendicular to a given line
  • Level 6 : Intersection point of two lines
  • Level 7 : Advanced problems

Subject 3: The circle x + y = R, (x - a) + (y - b) = R, tangent, intersection with a line, circle through three points.

  • Level 1 : Center, radius, length and area of a circle
  • Level 2 : Equation of a circle given the center and the radius. Checking the location of a point: outside and inside a circle.
  • Level 3 : Equation of a circle given a diameter
  • Level 4 : Equation of the tangent at a given point
  • Level 5 : Find one coordinate of a point given the other
  • Level 6 : Intersection of a circle and a line
  • Level 7 : Center of a circle through three points



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