2012 AP Calculus BC微积分真题系列之选择题免费下载

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2012 AP Calculus BC Multiple Choice Practice Exam Free Download

2012 AP 微积分 BC 模拟卷选择题部分免费下载

此套Section I试卷共分两个部分组成

Part A计时55分钟，共28题

Part B计时50分钟，共17题

每道大题含有不同数量的小题

Part A需使用铅笔，无计算器

Part B可使用绘图计算器

完整版下载链接见文末

部分真题预览：

Section I，Part A，不可使用任何计算器：

2）The position of a particle moving in the xy-plane is given by the parametric euqations x(t) = t³ - 3t² and y(t) = 12t -3t². At which of the following points (x,y) is the particle at rest?

1. (-4,12)
2. (-3,6)
3. (-2,9)
4. (0,0)
5. (3,4)

8)A tank contains 50 liters of oil at time t =4 hours. Oil is being pumped into the tank at a rate R(t), where R(t) is measured in liters per hour, and t is measured in hours. Selected values of R(t) are given in the table above. Using a right Riemann sum with three subintervals and data from the table, whatis the approximation of the number of liters of oil that are in the tank at time t =15 hours?

1. 64.9
2. 68.2
3. 114.9
4. 116.6
5. 118.2

12)The point (-1,-1) and (1,5) are on the graph of a function y = f(x) that satisfies the differential equation dy/dx=x²+y.Which of the following must be true?

1. (1,-5) is a local maximum of f
2. (1,-5) is a point of inflection of the graph of f
3. (-1,-1) is a local maximum of f
4. (-1,-1) is a local minimum of f
5. (-1,-1) is a point of inflection of the graph of f

16)Let y=f(x) be the solution to the differential equation dy/dx = x-y with initial condition f(1)=3. What is the approximation for f(2) obtained by using Euler's method with two steps of equal length starting at x=1?

1. -5/4
2. 1
3. 7/4
4. 2
5. 21/4

Section II，Part B，请使用Graphing Calculator：

76）The function f, whose graph is shown above, is defined on the interval -2≤x≤2. Which of the following statements about f  is false?

1. 1. f is continuous at x=0.
   2. f is differentiable at x=0.
   3. f has a critical point at x=0.
   4. f has an absolute minimum at x=0.
   5. The concavity of the graph of f changes at x=0.

80)The graph of f ', the derivative of the function f, is shown above. Which of the following statements must be true?

1. f has a relative minimum at x = -3.
2. The graph of f has a point of inflection at x = -2.
3. The graph of f is concave down for 0 < x < 4.

1. I only
2. II only
3. III only
4. I and II only
5. I and III only

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