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新SAT数学练习题附答案解析(53)

2018-05-26 16:43:00来源:新东方在线论坛

  新SAT数学练习题解析

  5.Correct Answer: A

  Explanation:

  If we consider the triangle bounded by the x axis, the line, and the perpendicular to the x-axis passing through (5,5), then, since the slope (5/6) is given by the y-side (5 units) of the triangle divided by the x side, the x side is 6. This means the intercept on the x-axis is at (-1, 0). Now consider other triangles bounded by the line, the x-axis and the perpendicular to the points given in the answer choices, and check that they give a slope of 5/6. For example, in (A) the x side of the triangle will be 2.5 + 1 units long, and the y side will be 2. This does not give a slope of 5/6. (You can use the formula y2 - y1 / x2 - x1 to find the slope. For this use the intercept on the x axis for x1 and y1)

  6.Correct Answer: A

  Explanation:

  Rate (R) is directly proportional to d. We write this as R = k.d, where k is a constant.

  Rate is inversely proportional to T. We write this as R = k. 1/T, where k is a constant.

  In the combined expression, d must appear in the numerator and T in the denominator. This is the case in A.

  

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