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SAT II数学考试快递——Coordinate Space
作者:admin 2011-3-8 10:26 浏览(2839)
导读:SAT是Scholastic Aptitude Test的缩写,是申请几乎所有美国大学必须参加的考试。通常,希望继续接受高等教育的高中生需要参加SAT考试,并且SAT考试得分是获取奖学金的重要标准之一。大部分美国大学要求SAT考试作为录 ...


SAT是Scholastic Aptitude Test的缩写,是申请几乎所有米国大学必须参加的考试。通常,希望继续接受高等教育的高中生需要参加SAT考试,并且SAT考试得分是获取奖学金的重要标准之一。大部分米国大学要求SAT考试作为录取的条件并根据SAT得分授予奖学金。 SAT是Scholastic Aptitude Test的缩写,是申请几乎所有米国大学必须参加的考试。通常,希望继续接受高等教育的高中生需要参加SAT考试,并且SAT考试得分是获取奖学金的重要标准之一。大部分米国大学要求SAT考试作为录取的条件并根据SAT得分授予奖学金。 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: