2016 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

真题与答案下载

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2016 AP Calculus BC Free-Response Questions Free Download

2016 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）The curve c in the xy-plane is given parametrically by (x(t),y(t)), where for 1 ≤t ≤ 6.

1. Find the slope of the line tangent to the curve C at the point where t=3
2. For 1≤t ≤ 6, what is the value of t at which the line tangent to the curve C is vertical?
3. Find the length of the curve C for 1≤t ≤ 6
4. Given y(1)=2,find y(3)

Section II，Part B，不可使用任何计算器： 3） The function f is defined on the interval -5≤ x ≤ c, where c > 0 and f(c)=0. The graph of f, which consists of three line segments and a quarter of a circle with center(-3,0) and radius 2, is shown in the figure above.

1. Find the average rate of change of f over the interval [-5,0]. Show the computations that lead to your answer.
2. For -5≤ x ≤ c,let g be the function defined by .Find the x-coordinate of each point of inflection of the graph of g. Justify your answer.
3. Find the value of c for which the average of f over the interval -5≤x ≤c is 1/2.
4. Assume c >3. The function h is defined by h(x)=f(x/2). Find h'(6) in terms of c.