2013 AP Calculus BC微积分真题系列之简答题免费下载

历年AP Calculus BC微积分BC系列

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2013 AP Calculus BC Free-Response Questions Free Download

2013 AP 微积分 BC 简答题部分免费下载

此套Section II试卷共分两个部分组成

Part A计时30分钟，共2题

Part B计时1小时，共4题

每道大题含有不同数量的小题

Part A可使用绘图计算器

Part B不可使用任何计算器

完整版下载链接见文末

部分真题预览：

Section II，Part A，请使用Graphing Calculator：

1）On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel processing plant is modeled by  where t is measured in hours and 0 ≤t ≤ 8.  At the beginning of the workday (t =0), the plant has 500 tons of unprocessed gravel. During the hours of operation,0 ≤t ≤ 8, the plant processes gravel at a constant rate of 100 tons per hour.

1. Find G' (5).  Using correct units, interpret your answer in the context of the problem.
2. Find the total amount of unprocessed gravel that arrives at the plant during the hours of operation on this workday.
3. Is the amount of unprocessed gravel at the plant increasing or decreasing at time t = 5 hours? Show the work that leads to your answer.
4. What is the maximum amount of unprocessed gravel at the plant during the hours of operation on this workday? Justify your answer.

Section II，Part B，不可使用任何计算器：

4）The figure above shows the graph of f ' , the derivative of a twice-differentiable function f, on the closed interval 0 ≤ x≤ 8. The graph of f ' has horizontal tangent lines at x =1, x=3, and x=5. The areas of the regions between the graph of f ' and the x-axis are labeled in the figure. The function f is defined for all real numbers and satisfies f (8) = 4.

1. Find all values of x on the open interval 0 <x < 8 for which the function f has a local minimum. Justify your answer.
2. Determine the absolute minimum value of f on the closed interval 0 ≤ x≤ 8. Justify your answer.
3. On what open intervals contained in 0 <x < 8 is the graph of fboth concave down and increasing?
4. The function g is defined by g(x) = (f(x))³. If f(3)= -5/2, find the slope of the line tangent to the graph of g at x = 3.

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