2010 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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2010 AP Calculus BC Free-Response Questions Free Download

2010 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）There is no snow on Janet’s driveway when snow begins to fall at midnight. From midnight to 9 A.M., snow accumulates on the driveway at a rate modeled by f(t)=7te^{cos t} cubic feet per hour, where t is measured  in hours since midnight. Janet starts removing snow at 6 A.M. (t=6.) The rate g(t), in cubic feet per hour, at which Janet removes snow from the driveway at time t hours after midnight is modeled by

1. How many cubic feet of snow have accumulated on the driveway by 6 A.M.?
2. Find the rate of change of the volume of snow on the driveway at 8 A.M.
3. Let h(t) represent the total amount of snow, in cubic feet, that Janet has removed from the driveway  at time t hours after midnight. Express h as a piecewise-defined function with domain 0 ≤t ≤9.
4.  How many cubic feet of snow are on the driveway at 9 A.M.?

Section II，Part B，不可使用任何计算器：

3） A particle is moving along a curve so that its position at time t is (x(t) , y(t)), where x(t)=t² -4t +8 and y(t) is not explicitly given. Both x and y are measured in meters, and t is measured in seconds. It is known that dy/dt=te^t-3 - 1

1. Find the speed of the particle at time t =3 seconds.
2. Find the total distance traveled by the particle for 0 ≤t ≤ 4 seconds.
3. Find the time t, 0 ≤t≤4, when the line tangent to the path of the particle is horizontal. Is the direction of motion of the particle toward the left or toward the right at that time? Give a reason for your answer.
4. There is a point with x-coordinate 5 through which the particle passes twice. Find each of the following.
   1. The two values of t when that occurs
   2. The slopes of the lines tangent to the particle’s path at that point
   3. The y-coordinate of that point, given y 2 =3+1/e

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