SAT数学-Solid Geometry

 

下面是北外SAT张教授给SAT学员整理的Solid Geometry相关内容,考生参考里面的生词,希望可以帮助到SAT考生。


Solid geometry adds literally another dimension to the plane geometry explained in the previous chapter—instead of squares and circles, we now have cubes and spheres. These three-dimensional shapes may be more difficult to visualize, but there are only a few specific solids that you’ll need to know about for the Math IC. We’ll review them one by one.


Distance in the Coordinate PlaneDistance = if you’re measuring the distance between the points (x1, y1) and (x2, y2).  Distance in the Coordinate Space DistanceDistance = if you’re measuring the distance between the points (x1, y1, z1) and (x2, y2, z2).  Midpoint between Two PointsMidpoint = , where the endpoints of a line segment are (x1, y1) and (x2, y2).  Point-Slope Form of the Equation of a Liney – y1 = m(x – x1), where m is the slope of the line, and (x1, y1) is a point on the line.   Slope-Intercept Form of the Equation of a Liney = mx + b, where m is the slope of the line, and b is the y-intercept of the line. Both m and b are constants.  Slope of a LineSlope = , 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 r is the radius. When centered at the origin, the equation simplifies to x2 + y2 = r2.  Standard Form of the Equation of a Parabolay = a(x – h)2 + k, where a, h, and k are constants.