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SAT2数学考试题目:Coordinate Space

2019-09-04 15:23:00来源:网络

  为了帮助大家高效备考SAT,新东方在线SAT频道为大家带来SAT2数学考试题目:Coordinate Space,希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道!

  When we add another dimension to the coordinate plane, creating a coordinate space, a new axis must be introduced. Meet the z-axis:

  The z-axis is perpendicular to both the x- and y-axes. A point in three dimensions is specified by three coordinates: (x, y, z).

  The only questions you’re likely to see that involve three-dimensional coordinate geometry will ask you to calculate the distance between two points in space. There is a general formula that allows you to make such a calculation. If the two points are (x1, y1, z1) and (x2, y2, z2), then the distance between them is:

  Determining the distance between two points in coordinate space is basically the same as finding the length of the diagonal of a rectangular solid. In solid geometry, we were given the dimensions of the sides; for coordinate geometry, we have the coordinates of the endpoints of that diagonal.

  Try the example problem below:

  What is the distance between the points (4, 1, –5) and (–3, 3, 6)?

  Using the formula, the answer is , which approximately equals 13.19. To see this in diagram form, take a look at the figure below:

  以上就是关于“SAT2数学考试题目:Coordinate Space”的内容,更多精彩内容,请关注SAT频道!


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