2012 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

翰林国际教育全网首发

力争超快速发布最全资料

助你在升学路上一帆风顺

为你的未来保驾护航

2012 AP Calculus BC Free-Response Questions Free Download

2012 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 temperature of water in a tub at time t is modeled by a strictly increasing, twice-differentiable function W, where W(t) is measured in degrees Fahrenheit and t is measured in minutes. At time t = 0,  the temperature of the water is 55 °F. The water is heated for 30 minutes, beginning at time t = 0. Values of W(t) at selected times t for the first 20 minutes are given in the table above.

1. Use the data in the table to estimate W ' (12) .  Show the computations that lead to your answer. Using correct units, interpret the meaning of your answer in the context of this problem.
2. Use the data in the table to evaluate.  Using correct units, interpret the meaning of in the context of this problem.
3. For 0 ≤t ≤ 20,  the average temperature of the water in the tub is. Use a left Riemann sum with the four subintervals indicated by the data in the table to approximate . Does this approximation overestimate or underestimate the average temperature of the water over these 20 minutes? Explain your reasoning.
4. For 20 ≤t ≤25, the function W that models the water temperature has first derivative given by W '(t)=(0.4√t )cos(0.06t). Based on the model, what is the temperature of the water at time t = 25?

Section II，Part B，不可使用任何计算器：

3）Let f be the continuous function defined on [-4, 3] whose graph, consisting of three line segments and a semicircle centered at the origin, is given above. Let g be the function given by

1. Find the values of g(2) and g(-2)
2. For each of g'(-3) and g"(-3), find the value or state that is does not exist
3. Find the x-coordinate of each point at which the graph of g has a horizontal tangent line. For each of these points, determine whether g has a relative minimum, relative maximum, or neither a minimum nor a maximum at the point. Justify your answers.
4. For -4 <x < 3, find all values of x for which the graph of g has a point of inflection. Explain your reasoning.

完整版真题下载链接请注册或登录后查看

文件为PDF格式

推荐使用电脑下载

 

2012 AP Calculus BC FRQ微积分简答题完整版答案免费下载

请持续关注，稍后更新

 

如需打包下载，请联系小助手了解更多

翰林学员全站资料免费打包下载，专享高速下载通道。