SAT数学例题解析-Key Formulas of Coordinate Geometry

 

 下面是北外SAT为考生们整理了一道SAT数学例题的分析,供SA培训考生们参考使用,以下是详细内容。

Distance in the Coordinate Plane

Distance = if you’re measuring the distance between the points (x1, y1) and (x2,y2).

Distance in the Coordinate Space Distance

Distance = if you’re measuring the distance between the points (x1, y1, z1) and (x2, y2, z2).

Midpoint between Two Points

Midpoint = (, ), where the endpoints of a line segment are (x1, y1) and (x2, y2).

Point-Slope Form of the Equation of a Line

y– y1= m(x– x1), where mis the slope of the line, and (x1,y1) is a point on the line.

Slope-Intercept Form of the Equation of a Line

y = mx + b, where mis the slope of the line, and bis the y-intercept of the line. Both mand bare constants.

Slope of a Line

Slope = , where two points on the line are (x1, y1) and (x2, y2).

Standard Form of the Equation of a Circle

(x – h)2+ (y – k)2= r2, where (h, k) is the center of the circle, and ris the radius. When centered at the origin, the equation simplifies to x2+ y2= r2.

Standard Form of the Equation of a Parabola

y = a(x – h)2+ k, where a, h, and kare constants.